diff --git a/docs/rules/order.md b/docs/rules/order.md
index 7d91efd6f5..dcd4ac58a2 100644
--- a/docs/rules/order.md
+++ b/docs/rules/order.md
@@ -216,12 +216,12 @@ import index from './';
 import sibling from './foo';
 ```
 
-### `alphabetize: {order: asc|desc|ignore, caseInsensitive: true|false}`:
+### `alphabetize: {order: asc|desc|ignore, caseInsensitive: true|false|'invert'}`:
 
 Sort the order within each group in alphabetical manner based on **import path**:
 
 - `order`: use `asc` to sort in ascending order, and `desc` to sort in descending order (default: `ignore`).
-- `caseInsensitive`: use `true` to ignore case, and `false` to consider case (default: `false`).
+- `caseInsensitive`: use `true` to ignore case, `false` to consider case, and `'invert'` to sort lowercase before uppercase (default: `false`).
 
 Example setting:
 ```js
diff --git a/src/rules/order.js b/src/rules/order.js
index bad382945c..05d6454c09 100644
--- a/src/rules/order.js
+++ b/src/rules/order.js
@@ -242,10 +242,18 @@ function makeOutOfOrderReport(context, imported) {
   reportOutOfOrder(context, imported, outOfOrder, 'before');
 }
 
-function getSorter(ascending) {
-  const multiplier = ascending ? 1 : -1;
+function getSorter(alphabetizeOptions) {
+  const multiplier = alphabetizeOptions.order === 'asc' ? 1 : -1;
+  let collate;
+  if (alphabetizeOptions.caseInsensitive) {
+    if (alphabetizeOptions.caseFirst === 'lower') {
+      collate = swapCase;
+    } else {
+      collate = (s) => String(s).toLowerCase();
+    }
+  }
 
-  return function importsSorter(importA, importB) {
+  function importsSorter(importA, importB) {
     let result;
 
     if (importA < importB) {
@@ -257,7 +265,18 @@ function getSorter(ascending) {
     }
 
     return result * multiplier;
-  };
+  }
+  return collate ? (a, b) => importsSorter(collate(a), collate(b)) : importsSorter;
+}
+
+function swapCase(input) {
+  input = String(input);
+  let result = '';
+  for (let i = 0; i < input.length; i++) {
+    const lower = input[i].toLowerCase();
+    result += input[i] === lower ? input[i].toUpperCase() : lower;
+  }
+  return result;
 }
 
 function mutateRanksToAlphabetize(imported, alphabetizeOptions) {
@@ -271,11 +290,10 @@ function mutateRanksToAlphabetize(imported, alphabetizeOptions) {
 
   const groupRanks = Object.keys(groupedByRanks);
 
-  const sorterFn = getSorter(alphabetizeOptions.order === 'asc');
-  const comparator = alphabetizeOptions.caseInsensitive ? (a, b) => sorterFn(String(a).toLowerCase(), String(b).toLowerCase()) : (a, b) => sorterFn(a, b);
+  const sorterFn = getSorter(alphabetizeOptions);
   // sort imports locally within their group
   groupRanks.forEach(function(groupRank) {
-    groupedByRanks[groupRank].sort(comparator);
+    groupedByRanks[groupRank].sort(sorterFn);
   });
 
   // assign globally unique rank to each import
@@ -556,8 +574,10 @@ module.exports = {
             type: 'object',
             properties: {
               caseInsensitive: {
-                type: 'boolean',
-                default: false,
+                anyOf: [
+                  { type: 'boolean', default: false },
+                  { type: 'string', enum: ['invert'] },
+                ],
               },
               order: {
                 enum: ['ignore', 'asc', 'desc'],
diff --git a/tests/src/rules/order.js b/tests/src/rules/order.js
index 42f99c2db8..42f05b5fb7 100644
--- a/tests/src/rules/order.js
+++ b/tests/src/rules/order.js
@@ -2121,6 +2121,54 @@ ruleTester.run('order', rule, {
         message: '`foo` import should occur before import of `Bar`',
       }],
     }),
+    // Option alphabetize {order: 'asc': caseInsensitive: 'invert'}
+    test({
+      code: `
+        import a from 'bar';
+        import b from 'Foo';
+        import c from 'foo';
+
+        import index from './';
+      `,
+      output: `
+        import a from 'bar';
+        import c from 'foo';
+        import b from 'Foo';
+
+        import index from './';
+      `,
+      options: [{
+        groups: ['external', 'index'],
+        alphabetize: { order: 'asc', caseInsensitive: 'invert' },
+      }],
+      errors: [{
+        message: '`foo` import should occur before import of `Foo`',
+      }],
+    }),
+    // Option alphabetize {order: 'desc': caseInsensitive: 'invert'}
+    test({
+      code: `
+        import a from 'foo';
+        import b from 'Foo';
+        import c from 'bar';
+
+        import index from './';
+      `,
+      output: `
+        import b from 'Foo';
+        import a from 'foo';
+        import c from 'bar';
+
+        import index from './';
+      `,
+      options: [{
+        groups: ['external', 'index'],
+        alphabetize: { order: 'desc', caseInsensitive: 'invert' },
+      }],
+      errors: [{
+        message: '`Foo` import should occur before import of `foo`',
+      }],
+    }),
     // Alphabetize with parent paths
     test({
       code: `