Finite Group Databasebeta

← #10718660

Subgroups — #10718660

Order 768.

3422 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#940C211yesmaximal, characteristic
2C22×#893C211yesmaximal, characteristic, complemented
3C2×C3×#390C211yesmaximal, characteristic, complemented
4C2×#5221C211yesmaximal, characteristic, complemented
5C2×#4956C214yesmaximal, complemented
6C2×#4939C211yesmaximal, characteristic, complemented
7#71563C211yesmaximal, characteristic, complemented
8#71550C214yesmaximal, complemented
9C4×C3⋊#95C211yesmaximal, characteristic, complemented
10#14025—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C23×#67C2214yes—
13C23×D12C2211yescharacteristic
14C23×C4×D3C2212yes—
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2214yes—
17C22×C3×C42C2211yescharacteristic
18C22×#217C2212yes—
19C22×#217C2212yes—
20C2×#940—24no—
21C2×#940—24no—
22C2×#940C418yescomplemented
23C22×(C2×D3)⋊C4C2212yes—
24C22×(C2×D3)⋊C4C2214yes—
25C22×C4⋊Dic3C2211yescharacteristic
26C22×C4×Dic3C2211yescharacteristic
27C22×C4×Dic3C2211yescharacteristic
28C2×#893—24no—
29C2×#893—24no—
30C2×#893—24no—
31C3×#390—24no—
32#5221—24no—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2214yes—
35C2×C3⋊#95C2212yes—
36#4956—216no—
37#4939—24no—
38C22×#127—31no—
39C22×C4×D4—31no—
40C2×#390—31no—
41C2×#390—31no—
42C2×#390D311yescharacteristic, complemented
43C2×#386—34no—
44#1438—34no—
45C4⋊#95—31no—
46C4×#95—31no—
47C25×C3C2312yes—
48C24×D3C2312yes—
49C22×C3×D4—22no—
50C22×C3×D4—22no—
51C22×C3×D4—22no—
52C22×C3×D4—22no—
53C22×C3×D4—22no—
54C22×C3×D4—22no—
55C22×C3×D4C2×C414yescomplemented
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C22×#67—28no—
60C22×#67—28no—
61C22×#67—28no—
62C22×#67—28no—
63C22×#67—44no—
64C22×#67—44no—
65C22×#67C2×C4116yescomplemented
66C23×Dic3C2312yes—
67C23×Dic3C2311yescharacteristic
68C23×Dic3C2312yes—
69C23×Dic3C2311yescharacteristic
70C22×D12—22no—
71C22×D12—22no—
72C22×D12—22no—
73C22×D12—22no—
74C22×D12C2×C414yes—
75C22×D12D414yes—
76C22×D12D414yes—
77C22×C4×D3—24no—
78C22×C4×D3—24no—
79C22×C4×D3—24no—
80C22×C4×D3—28no—
81C22×C4×D3—44no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4D414yescomplemented
85C2×C3×C22⋊C4—28no—
86C2×C3×C22⋊C4—28no—
87C2×C3×C22⋊C4—44no—
88C2×C3×C42—22no—
89C2×C3×C42—22no—
90C2×C3×C42—22no—
91C2×#217—28no—
92C2×#217—24no—
93C2×#217—24no—
94C2×#217—44no—
95#940—232no—
96C2×(C2×D3)⋊C4—24no—
97C2×(C2×D3)⋊C4—24no—
98C2×(C2×D3)⋊C4—24no—
99C2×(C2×D3)⋊C4—28no—
100C2×(C2×D3)⋊C4—28no—
101C2×(C2×D3)⋊C4—44no—
102C2×C4⋊Dic3—22no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—22no—
105C2×C4×Dic3—22no—
106C2×C4×Dic3—22no—
107C2×C4×Dic3—22no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3C2×C414yescomplemented
110C2×C4×Dic3D414yescomplemented
111#893—232no—
112C3⋊#95—28no—
113C3⋊#95—24no—
114C3⋊#95D418yescomplemented
115C23×D4—34no—
116C23×D4—31no—
117C23×D4C2×D311yescharacteristic
118C24×C4—32no—
119C2×#127—38no—
120C2×#127—64no—
121C2×#127—64no—
122C2×C4×D4—64no—
123C2×C4×D4—64no—
124C2×C4×D4—64no—
125C22×C4⋊C4—31no—
126C22×C4⋊C4C2×D311yescharacteristic
127C22×C22⋊C4—32no—
128C22×C22⋊C4—32no—
129C22×C22⋊C4—34no—
130C22×C22⋊C4—32no—
131C22×C22⋊C4C2×D314yes—
132C22×C42—31no—
133C22×C42—31no—
134C22×C42C2×D311yescharacteristic
135#390—24no—
136#390—64no—
137#390—64no—
138#386—616no—
139C2×#95—32no—
140C2×#95—32no—
141C2×#95—34no—
142C24×C3—22no—
143C24×C3—24no—
144C24×C3—22no—
145C24×C3—22no—
146C24×C3—22no—
147C24×C3—24no—
148C24×C3—22no—
149C24×C3—22no—
150C24×C3—24no—
151C24×C3—24no—
152C24×C3C22×C414yes—
153C24×C3C2411yescharacteristic
154C23×D3—22no—
155C23×D3—22no—
156C23×D3—24no—
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—24no—
160C23×D3—24no—
161C23×D3—24no—
162C23×D3C22×C414yes—
163C23×D3C2×D414yes—
164C23×D3C2×D414yes—
165C2×C3×D4—28no—
166C2×C3×D4—28no—
167C2×C3×D4—28no—
168C2×C3×D4—44no—
169C2×C3×D4—44no—
170C2×C3×D4—44no—
171C2×C3×D4—44no—
172C22×C3×C4—24no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—24no—
182C22×C3×C4C22×C412yes—
183C22×C3×C4C2×D414yes—
184C22×C3×C4C2×D412yes—
185C22×C3×C4C2×D412yes—
186C22×C3×C4C2×D412yes—
187C22×C3×C4C2×D414yes—
188C22×C3×C4C2×D412yes—
189C22×C3×C4#4112yes—
190C22×C3×C4#4112yes—
191C2×#67—232no—
192C2×#67—232no—
193C2×#67—416no—
194C2×#67—416no—
195C2×#67—416no—
196C2×#67—416no—
197C2×#67—416no—
198C22×Dic3—21no—
199C22×Dic3—21no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—21no—
206C22×Dic3—21no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—24no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—24no—
214C22×Dic3C22×C414yes—
215C22×Dic3C2×D412yes—
216C22×Dic3C2×D414yes—
217C22×Dic3C2×D414yes—
218C22×Dic3C2×D412yes—
219C22×Dic3#4114yes—
220C2×D12—28no—
221C2×D12—28no—
222C2×D12—28no—
223C2×D12—28no—
224C2×D12—28no—
225C2×D12—28no—
226C2×D12C22⋊C4116yescomplemented
227C2×C4×D3—216no—
228C2×C4×D3—416no—
229C2×C4×D3—416no—
230C2×C4×D3—48no—
231C2×C4×D3—48no—
232C3×C4⋊C4—28no—
233C3×C22⋊C4—416no—
234C3×C42—44no—
235#217—48no—
236#217—48no—
237(C2×D3)⋊C4—216no—
238(C2×D3)⋊C4—416no—
239C4⋊Dic3—44no—
240C4×Dic3—28no—
241C4×Dic3—28no—
242C25—32no—
243C25C22×D312yes—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—316no—
251C22×D4—34no—
252C22×D4—34no—
253C22×D4—34no—
254C22×D4—68no—
255C22×D4—68no—
256C22×D4—68no—
257C22×D4—68no—
258C22×D4—62no—
259C22×D4—62no—
260C22×D4—62no—
261C22×D4—62no—
262C22×D4—124no—
263C22×D4—124no—
264C22×D4C4×D314yescomplemented
265C23×C4—31no—
266C23×C4—32no—
267C23×C4—31no—
268C23×C4—32no—
269C23×C4—64no—
270C23×C4—68no—
271C23×C4—64no—
272C23×C4—64no—
273C23×C4—124no—
274C23×C4C22×D312yes—
275C23×C4C22×D312yes—
276C23×C4C22×D311yescharacteristic
277#127—632no—
278C4×D4—632no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—62no—
282C2×C4⋊C4—62no—
283C2×C4⋊C4—62no—
284C2×C4⋊C4#6714yescomplemented
285C2×C22⋊C4—28no—
286C2×C22⋊C4—28no—
287C2×C22⋊C4—44no—
288C2×C22⋊C4—64no—
289C2×C22⋊C4—64no—
290C2×C22⋊C4—64no—
291C2×C22⋊C4—68no—
292C2×C22⋊C4—68no—
293C2×C22⋊C4—64no—
294C2×C22⋊C4—64no—
295C2×C22⋊C4—68no—
296C2×C22⋊C4—124no—
297C2×C22⋊C4—124no—
298C2×C42—22no—
299C2×C42—22no—
300C2×C42—22no—
301C2×C42—34no—
302C2×C42—34no—
303C2×C42—62no—
304C2×C42—62no—
305C2×C42—62no—
306C2×C42—62no—
307#95—38no—
308#95—64no—
309#95—68no—
310C23×C3—24no—
311C23×C3—28no—
312C23×C3—24no—
313C23×C3—24no—
314C23×C3—28no—
315C23×C3—42no—
316C23×C3—42no—
317C23×C3—42no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3—42no—
321C23×C3—44no—
322C23×C3—42no—
323C23×C3—42no—
324C23×C3—44no—
325C23×C3—44no—
326C23×C3—44no—
327C23×C3—44no—
328C23×C3—44no—
329C23×C3—44no—
330C23×C3—44no—
331C23×C3—44no—
332C23×C3—44no—
333C23×C3C23×C411yescharacteristic
334C23×C3C22×D411yescharacteristic
335C23×C3C22×D411yescharacteristic
336C23×C3C22×D411yescharacteristic
337C23×C3C22×D412yes—
338C23×C3C22×D411yescharacteristic
339C23×C3C2×#4111yescharacteristic
340C23×C3C2×#4111yescharacteristic
341C23×C3C2×#4112yes—
342C23×C3H(5,𝔽2)12yes—
343C23×C3H(5,𝔽2)12yes—
344C22×D3—24no—
345C22×D3—24no—
346C22×D3—28no—
347C22×D3—28no—
348C22×D3—24no—
349C22×D3—24no—
350C22×D3—24no—
351C22×D3—24no—
352C22×D3—28no—
353C22×D3—28no—
354C22×D3—28no—
355C22×D3—28no—
356C22×D3—42no—
357C22×D3—42no—
358C22×D3—44no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—44no—
362C22×D3—44no—
363C22×D3—44no—
364C22×D3—44no—
365C22×D3—44no—
366C22×D3C2×C22⋊C418yes—
367C3×D4—416no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—28no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—44no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4C2×C22⋊C414yes—
381C2×C3×C4C4×D414yes—
382C2×C3×C4C4×D414yes—
383C2×C3×C4#12014yes—
384C2×C3×C4#12114yes—
385C2×C3×C4#12114yes—
386C2×C3×C4#12314yes—
387#67—464no—
388C2×Dic3—24no—
389C2×Dic3—24no—
390C2×Dic3—22no—
391C2×Dic3—22no—
392C2×Dic3—24no—
393C2×Dic3—24no—
394C2×Dic3—24no—
395C2×Dic3—24no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—22no—
399C2×Dic3—22no—
400C2×Dic3—22no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—44no—
407C2×Dic3—44no—
408C2×Dic3C4×D418yescomplemented
409C2×Dic3#12714yescomplemented
410D12—232no—
411C4×D3—432no—
412C24—22no—
413C24—24no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—24no—
419C24—24no—
420C24—24no—
421C24—22no—
422C24—34no—
423C24—34no—
424C24—34no—
425C24—62no—
426C24—64no—
427C24—62no—
428C24—62no—
429C24—64no—
430C24—64no—
431C24—64no—
432C24—62no—
433C24C2×C4×D314yes—
434C24C23×D311yescharacteristic
435C2×D4—28no—
436C2×D4—28no—
437C2×D4—28no—
438C2×D4—316no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—632no—
444C2×D4—632no—
445C2×D4—68no—
446C2×D4—68no—
447C2×D4—68no—
448C2×D4—68no—
449C2×D4—68no—
450C2×D4—68no—
451C2×D4—1216no—
452C2×D4—1216no—
453C2×D4—1216no—
454C2×D4—1216no—
455C2×D4—1216no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—34no—
467C22×C4—34no—
468C22×C4—34no—
469C22×C4—32no—
470C22×C4—34no—
471C22×C4—32no—
472C22×C4—616no—
473C22×C4—61no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—61no—
484C22×C4—62no—
485C22×C4—64no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—64no—
489C22×C4—1216no—
490C22×C4—128no—
491C22×C4—1216no—
492C22×C4—128no—
493C22×C4C2×C4×D312yes—
494C22×C4#23512yes—
495C22×C4D3×D414yes—
496C22×C4D3×D412yes—
497C22×C4D3×D412yes—
498C22×C4D3×D412yes—
499C22×C4#23712yes—
500C22×C4C2×#6714yes—
501C22×C4C2×#6712yes—
502C4⋊C4—28no—
503C4⋊C4—124no—
504C22⋊C4—416no—
505C22⋊C4—616no—
506C22⋊C4—1216no—
507C22⋊C4—128no—
508C22⋊C4—128no—
509C42—44no—
510C42—68no—
511C42—68no—
512C22×C3—44no—
513C22×C3—44no—
514C22×C3—48no—
515C22×C3—48no—
516C22×C3—44no—
517C22×C3—84no—
518C22×C3—82no—
519C22×C3—82no—
520C22×C3—84no—
521C22×C3—82no—
522C22×C3—82no—
523C22×C3C22×C22⋊C411yescharacteristic
524C22×C3C2×C4×D411yescharacteristic
525C22×C3C2×C4×D411yescharacteristic
526C22×C3C2×C4×D412yes—
527C22×C3#51812yes—
528C22×C3C2×#12011yescharacteristic
529C22×C3C2×#12111yescharacteristic
530C22×C3C2×#12111yescharacteristic
531C22×C3C2×#12311yescharacteristic
532C22×C3C2×#12711yescharacteristic
533C22×C3#53211yescharacteristic
534C22×C3#53212yes—
535C22×C3#53511yescharacteristic
536C22×C3#53511yescharacteristic
537C22×C3#54012yes—
538C22×C3D4212yes—
539C22×C3D4212yes—
540C22×C3D4212yes—
541C22×C3#54612yes—
542C22×C3#54612yes—
543C22×C3#55012yes—
544C22×C3#55012yes—
545C22×C3#55912yes—
546C2×D3—216no—
547C2×D3—28no—
548C2×D3—44no—
549C2×D3—44no—
550C2×D3—48no—
551C2×D3—48no—
552C2×D3—44no—
553C2×D3—44no—
554C2×D3—48no—
555C2×D3—44no—
556C2×D3—44no—
557C3×C4—44no—
558C3×C4—44no—
559C3×C4#38618yescomplemented
560Dic3—28no—
561Dic3—24no—
562Dic3—42no—
563Dic3—82no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—28no—
568C23—28no—
569C23—38no—
570C23—42no—
571C23—42no—
572C23—44no—
573C23—42no—
574C23—42no—
575C23—44no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—68no—
589C23—68no—
590C23—64no—
591C23—64no—
592C23—64no—
593C23—64no—
594C23—64no—
595C23—68no—
596C23—64no—
597C23—68no—
598C23—68no—
599C23—68no—
600C23—122no—
601C23—122no—
602C23—122no—
603C23—122no—
604C23—124no—
605C23—124no—
606C23—124no—
607C23—124no—
608C23—124no—
609C23—124no—
610C23C22×C4×D311yescharacteristic
611C23C2×#23511yescharacteristic
612C23C2×D3×D411yescharacteristic
613C23C2×D3×D411yescharacteristic
614C23C2×D3×D412yes—
615C23C2×D3×D411yescharacteristic
616C23C2×#23711yescharacteristic
617C23#100412yes—
618C23D3×#4112yes—
619C23#100912yes—
620C23C22×#6711yescharacteristic
621D4—416no—
622D4—632no—
623D4—1264no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—28no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—34no—
630C2×C4—38no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—44no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—64no—
639C2×C4—62no—
640C2×C4—64no—
641C2×C4—64no—
642C2×C4—64no—
643C2×C4—62no—
644C2×C4—64no—
645C2×C4—64no—
646C2×C4—64no—
647C2×C4—64no—
648C2×C4—62no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—1232no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—122no—
656C2×C4—122no—
657C2×C4—124no—
658C2×C4—124no—
659C2×C4D3×C22⋊C414yes—
660C2×C4#67⋊C414yes—
661C2×C4#88314yes—
662C2×C4#88414yes—
663C2×C4C4×#6714yes—
664C2×C4#93714yes—
665C2×C4#93814yes—
666C2×C3—84no—
667C2×C3C2×#38611yescharacteristic
668C2×C3C4×#12711yescharacteristic
669C2×C3#232811yescharacteristic
670C2×C3D4×C22⋊C412yes—
671C2×C3#236612yes—
672C2×C3#242812yes—
673C2×C3#243111yescharacteristic
674C2×C3#243311yescharacteristic
675C2×C3#244512yes—
676C2×C3#254111yescharacteristic
677C2×C3#254411yescharacteristic
678D3—48no—
679C22—44no—
680C22—44no—
681C22—48no—
682C22—48no—
683C22—44no—
684C22—616no—
685C22—68no—
686C22—82no—
687C22—84no—
688C22—82no—
689C22—82no—
690C22—84no—
691C22—82no—
692C22—124no—
693C22—124no—
694C22—124no—
695C22—128no—
696C22—124no—
697C22—124no—
698C22—128no—
699C22—128no—
700C22—124no—
701C22C2×D3×C22⋊C411yescharacteristic
702C22C2×#67⋊C411yescharacteristic
703C22C2×#88311yescharacteristic
704C22C2×#88411yescharacteristic
705C22C4×D3×D412yes—
706C22#554512yes—
707C22#555312yes—
708C22#555912yes—
709C22#559612yes—
710C22#560912yes—
711C22#561212yes—
712C22#561912yes—
713C22#566811yescharacteristic
714C22#567411yescharacteristic
715C22#567612yes—
716C22D3×#12711yescharacteristic
717C22#571511yescharacteristic
718C22#571712yes—
719C22C2×C4×#6711yescharacteristic
720C22C2×#93711yescharacteristic
721C22C2×#93811yescharacteristic
722C22D4×#6712yes—
723C22#583412yes—
724C4—44no—
725C4—44no—
726C4—68no—
727C4—64no—
728C4—122no—
729C4—242no—
730C4#495618yescomplemented
731C3#1402511yescharacteristic, complemented, Sylow
732C2—84no—
733C2—128no—
734C2#7629311yescharacteristic
735C2#7629811yescharacteristic
736C2#7631812yes—
737C2#7634811yescharacteristic
738C2#7635011yescharacteristic
739C2#7643112yes—
740C2C2×#495611yescharacteristic
741C2#8234312yes—
742C2#8264812yes—
743C2#8295811yescharacteristic
744C2#8317511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC2×C3×#390C2
socle, cosocleC24×C3C24
prime radicalC22×#940C2
hypercenterC2×#390D3
hypocenterC3#14025
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#390

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C22×#893C2semidirect
3. C2×C3×#390C2semidirect
4. C2×#5221C2semidirect
5. C2×#4956C2semidirect
6. C2×#4939C2semidirect
7. #71563C2semidirect
8. #71550C2semidirect
9. C4×C3⋊#95C2semidirect
22. C2×#940C4semidirect
42. C2×#390D3semidirect
55. C22×C3×D4C2×C4semidirect
65. C22×#67C2×C4semidirect
84. C2×C3×C4⋊C4D4semidirect
109. C2×C4×Dic3C2×C4semidirect
110. C2×C4×Dic3D4semidirect
114. C3⋊#95D4semidirect
226. C2×D12C22⋊C4semidirect
264. C22×D4C4×D3semidirect
284. C2×C4⋊C4#67semidirect
408. C2×Dic3C4×D4semidirect
409. C2×Dic3#127semidirect
559. C3×C4#386semidirect
730. C4#4956semidirect
731. C3#14025semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×#9402
C22×#8932
C2×C3×#3902
C2×#52212
C2×#49562
C2×#49392
#715632
#715502
C4×C3⋊#952
#140253