Finite Group Databasebeta

← #10987002

Subgroups — #10987002

Order 768.

4618 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5610C213yesmaximal, complemented
2C2×#5609C213yesmaximal, complemented
3C3×#2656C211yesmaximal, characteristic, complemented
4#82708C213yesmaximal, complemented
5#82653C213yesmaximal, complemented
6#78111C211yesmaximal, characteristic, complemented
7#78107C213yesmaximal, complemented
8#78036C213yesmaximal, complemented
9#78019C211yesmaximal, characteristic, complemented
10D3×#392C211yesmaximal, characteristic, complemented
11#76706C211yesmaximal, characteristic, complemented
12#76688C213yesmaximal, complemented
13#76673C213yesmaximal, complemented
14C2×#4671C211yesmaximal, characteristic, complemented
15#73322C211yesmaximal, characteristic, complemented
16#35921—31nomaximal, Sylow
17C22×#237C2211yescharacteristic
18C22×D3×D4C2213yes—
19C22×D3×D4C2213yescomplemented
20C23×D12C2213yescomplemented
21C2×C3×#121C2213yescomplemented
22C2×C3×#121C2213yescomplemented
23C2×#940C2213yescomplemented
24C2×#940C2216yescomplemented
25C2×#939C2213yescomplemented
26C2×#937C2216yescomplemented
27C2×#937C2213yescomplemented
28C2×#937C2213yescomplemented
29C2×#935C2213yescomplemented
30C2×C4×#67C2213yes—
31C22×(C2×D3)⋊C4C2213yescomplemented
32#5610—224no—
33#5609—224no—
34C2×#896C2213yescomplemented
35C2×#895C2213yescomplemented
36C2×#894C2213yescomplemented
37C2×#893C2213yescomplemented
38C2×#885C2213yescomplemented
39C2×#884C2213yescomplemented
40C2×#884C2216yescomplemented
41C2×#882C2216yescomplemented
42C2×#67⋊C4C2213yescomplemented
43C2×D3×C22⋊C4C2213yescomplemented
44C3×#399C2213yescomplemented
45C3×#399C2211yescharacteristic, complemented
46C3×#392C2213yescomplemented
47C3×#392C2211yescharacteristic, complemented
48C2×C3×#95C2211yescharacteristic, complemented
49#5223C2213yescomplemented
50#5223C2213yescomplemented
51C4×#217C2213yescomplemented
52#4993C2213yescomplemented
53#4993C2213yescomplemented
54#4988C2216yescomplemented
55#4960C2213yescomplemented
56#4960C2213yescomplemented
57#4960C2213yescomplemented
58#4960C2213yescomplemented
59#4957C2216yescomplemented
60#4957C2216yescomplemented
61#4671C2211yescharacteristic
62#4671C2213yescomplemented
63#4671C2211yescharacteristic, complemented
64#4671C2213yescomplemented
65#4666C2213yescomplemented
66D3×#95C2211yescharacteristic, complemented
67#4649C2213yescomplemented
68#4648C2211yescharacteristic, complemented
69C2×#546—33no—
70C2×D42—33no—
71#2657—31no—
72#2656—31no—
73#2656D311yescharacteristic, complemented
74#2541—33no—
75#2540—33no—
76#2539—33no—
77#2539—33no—
78#2433—33no—
79#2433—33no—
80#2397—31no—
81C2×#392—31no—
82C2×#392—31no—
83#2275—31no—
84C24×D3C2313yes—
85C24×D3C2313yes—
86C22×C3×D4C2313yes—
87C22×C3×D4C2311yescharacteristic
88C22×C3×D4C2313yes—
89C22×C3×D4C2313yes—
90C23×C3×C4C2313yes—
91C22×#67C2313yes—
92C22×#67C2311yescharacteristic
93C22×#67C2316yes—
94C22×#67C2313yes—
95C22×#67C2316yes—
96C22×#67C2313yes—
97C22×#67C2311yescharacteristic
98C23×Dic3C2311yescharacteristic
99C23×Dic3C2311yescharacteristic
100C2×#237—212no—
101C2×D3×D4—224no—
102C2×D3×D4—212no—
103C2×D3×D4—212no—
104C2×D3×D4—412no—
105C22×D12—212no—
106C22×D12—412no—
107C22×D12C2313yes—
108C22×D12C2313yes—
109C22×D12C2316yes—
110C22×D12C2313yes—
111C22×C4×D3C2313yes—
112C22×C4×D3C2311yescharacteristic
113C22×C4×D3C2313yes—
114C22×Dic6C2311yescharacteristic
115C3×#121—212no—
116C3×#121—212no—
117C2×C3×C4⋊C4C2313yes—
118C2×C3×C4⋊C4C2313yes—
119C2×C3×C22⋊C4C2316yes—
120C2×C3×C22⋊C4C2313yes—
121C2×C3×C22⋊C4C2313yes—
122C2×#217C2313yes—
123C2×#217C2313yes—
124C2×#217C2313yes—
125#940—212no—
126#940—412no—
127#939—212no—
128#937—224no—
129#937—212no—
130#937—212no—
131#935—212no—
132C4×#67D4124yescomplemented
133C2×(C2×D3)⋊C4—212no—
134C2×(C2×D3)⋊C4C2313yes—
135C2×(C2×D3)⋊C4C2313yes—
136C2×(C2×D3)⋊C4C2313yes—
137C2×(C2×D3)⋊C4C2313yes—
138C2×(C2×D3)⋊C4C2316yes—
139C2×(C2×D3)⋊C4C2316yes—
140C2×(C2×D3)⋊C4C2313yes—
141C2×(C2×D3)⋊C4C2313yes—
142C2×(C2×D3)⋊C4C2313yes—
143C2×Dic3⋊C4C2313yes—
144C2×Dic3⋊C4C2313yes—
145C2×Dic3⋊C4C2313yes—
146C2×C4×Dic3C2316yes—
147C2×C4×Dic3C2313yes—
148#896—212no—
149#895—212no—
150#894—212no—
151#893—212no—
152#885—212no—
153#884—212no—
154#884—224no—
155#882—224no—
156#67⋊C4—212no—
157D3×C22⋊C4—212no—
158C3×#95C2311yescharacteristic
159C3×#95C2313yes—
160C3⋊#95C2313yes—
161C3⋊#95C2313yes—
162C22×#41—31no—
163C23×D4—33no—
164C23×D4—33no—
165C23×D4—33no—
166#546—624no—
167D42—624no—
168C2×#127—33no—
169C2×#127—36no—
170C2×#124—33no—
171C2×#123—33no—
172C2×#123—33no—
173C2×C22⋊Q8—33no—
174C2×#121—33no—
175C2×#121—33no—
176C2×#121—33no—
177C2×#121—36no—
178C2×#121C2×D313yescomplemented
179C2×#121C2×D313yescomplemented
180C2×#120—33no—
181C2×#120—33no—
182C2×#120—36no—
183C2×#120—36no—
184C2×C4×D4—33no—
185C2×C4×D4—33no—
186C2×C4×D4—33no—
187C22×C22⋊C4—33no—
188C22×C22⋊C4—33no—
189#399—33no—
190#399—33no—
191#399C2×D311yescharacteristic, complemented
192#399C2×D313yescomplemented
193#392—33no—
194#392—33no—
195#392—33no—
196#392—33no—
197#392—33no—
198#392—33no—
199#392—31no—
200#392—31no—
201#392—33no—
202#392—33no—
203#392C2×D311yescharacteristic, complemented
204#392C2×D313yescomplemented
205#390—36no—
206#390—36no—
207#390—36no—
208C4×C4⋊C4—33no—
209C4×C22⋊C4—33no—
210C4×C22⋊C4—33no—
211#376—31no—
212C2×#95—31no—
213C2×#95C2×D311yescharacteristic, complemented
214C24×C3C2413yes—
215C24×C3C2411yescharacteristic
216C24×C3C2411yescharacteristic
217C23×D3—26no—
218C23×D3—212no—
219C23×D3—26no—
220C23×D3—26no—
221C23×D3—26no—
222C23×D3—212no—
223C23×D3—46no—
224C23×D3—46no—
225C23×D3—43no—
226C23×D3—43no—
227C23×D3C2413yes—
228C23×D3C2413yes—
229C23×D3C2411yescharacteristic
230C2×C3×D4—26no—
231C2×C3×D4—212no—
232C2×C3×D4—26no—
233C2×C3×D4—26no—
234C2×C3×D4—26no—
235C2×C3×D4—46no—
236C2×C3×D4—46no—
237C22×C3×C4—46no—
238C22×C3×C4C2×D4112yescomplemented
239C22×C3×C4C2413yes—
240C22×C3×C4C2411yescharacteristic
241C22×C3×C4C2413yes—
242C22×C3×C4C2413yes—
243C2×#67—26no—
244C2×#67—26no—
245C2×#67—212no—
246C2×#67—26no—
247C2×#67—212no—
248C2×#67—212no—
249C2×#67—26no—
250C2×#67—212no—
251C2×#67—26no—
252C2×#67—46no—
253C2×#67—43no—
254C2×#67—46no—
255C2×#67—46no—
256C2×#67—46no—
257C2×#67C2×D4112yes—
258C22×Dic3—26no—
259C22×Dic3—26no—
260C22×Dic3C2411yescharacteristic
261C22×Dic3C2411yescharacteristic
262C22×Dic3C2413yes—
263C22×Dic3C2413yes—
264C22×Dic3C2411yescharacteristic
265#237—416no—
266D3×D4—448no—
267D3×D4—448no—
268C2×D12—212no—
269C2×D12—26no—
270C2×D12—212no—
271C2×D12—26no—
272C2×D12—212no—
273C2×D12—212no—
274C2×D12—26no—
275C2×D12—448no—
276C2×D12—46no—
277C2×D12—46no—
278C2×C4×D3—26no—
279C2×C4×D3—26no—
280C2×C4×D3—212no—
281C2×C4×D3—46no—
282C2×C4×D3C2×D4112yescomplemented
283C2×Dic6—26no—
284C3×C4⋊C4—26no—
285C3×C4⋊C4—26no—
286C3×C22⋊C4—26no—
287C3×C22⋊C4—26no—
288C3×C22⋊C4—212no—
289#217—26no—
290#217—26no—
291#217C2×D4112yescomplemented
292(C2×D3)⋊C4—26no—
293(C2×D3)⋊C4—26no—
294(C2×D3)⋊C4—26no—
295(C2×D3)⋊C4—26no—
296(C2×D3)⋊C4—26no—
297(C2×D3)⋊C4—212no—
298(C2×D3)⋊C4—212no—
299(C2×D3)⋊C4—26no—
300(C2×D3)⋊C4C2×D4112yescomplemented
301Dic3⋊C4—26no—
302Dic3⋊C4—26no—
303Dic3⋊C4C2×D4112yescomplemented
304C4×Dic3—46no—
305C4×Dic3C2×D4112yescomplemented
306C25—33no—
307C25—33no—
308C2×#41—612no—
309C22×Q8—31no—
310C22×D4—31no—
311C22×D4—31no—
312C22×D4—33no—
313C22×D4—33no—
314C22×D4—36no—
315C22×D4—36no—
316C22×D4—33no—
317C22×D4—33no—
318C22×D4—33no—
319C22×D4—36no—
320C22×D4—33no—
321C22×D4—612no—
322C22×D4—624no—
323C22×D4—612no—
324C22×D4—612no—
325C22×D4—1212no—
326C22×D4—1212no—
327C22×D4C22×D311yescharacteristic
328C22×D4C22×D313yes—
329C22×D4C22×D313yes—
330C22×D4C22×D313yes—
331C23×C4—33no—
332C23×C4—31no—
333C23×C4—31no—
334C23×C4—31no—
335C23×C4—33no—
336C23×C4C22×D313yes—
337#127—612no—
338#127—1212no—
339#124—612no—
340#123—612no—
341#123—612no—
342C22⋊Q8—612no—
343#121—212no—
344#121—212no—
345#121—624no—
346#121—612no—
347#121—612no—
348#121—612no—
349#120—624no—
350#120—624no—
351#120—612no—
352#120—612no—
353C4×D4—324no—
354C4×D4—612no—
355C4×D4—612no—
356C2×C4⋊C4—33no—
357C2×C4⋊C4—33no—
358C2×C4⋊C4—33no—
359C2×C4⋊C4C22×D313yes—
360C2×C4⋊C4C22×D313yes—
361C2×C22⋊C4—33no—
362C2×C22⋊C4—33no—
363C2×C22⋊C4—33no—
364C2×C22⋊C4—33no—
365C2×C22⋊C4—33no—
366C2×C22⋊C4—33no—
367C2×C22⋊C4—33no—
368C2×C22⋊C4—33no—
369C2×C22⋊C4—33no—
370C2×C22⋊C4—36no—
371C2×C22⋊C4—36no—
372C2×C22⋊C4—33no—
373C2×C22⋊C4—612no—
374C2×C22⋊C4—612no—
375C2×C22⋊C4C22×D313yes—
376C2×C22⋊C4C22×D313yes—
377C2×C22⋊C4C22×D316yes—
378C2×C42—33no—
379C2×C42—36no—
380#95—33no—
381#95—33no—
382#95C22×D311yescharacteristic
383#95C22×D313yes—
384C23×C3—23no—
385C23×C3—21no—
386C23×C3—23no—
387C23×C3—23no—
388C23×C3—26no—
389C23×C3—23no—
390C23×C3—26no—
391C23×C3—23no—
392C23×C3—21no—
393C23×C3—23no—
394C23×C3C22×D416yes—
395C23×C3C2511yescharacteristic
396C22×D3—23no—
397C22×D3—21no—
398C22×D3—23no—
399C22×D3—26no—
400C22×D3—26no—
401C22×D3—23no—
402C22×D3—23no—
403C22×D3—26no—
404C22×D3—26no—
405C22×D3—23no—
406C22×D3—23no—
407C22×D3—424no—
408C22×D3—412no—
409C22×D3—424no—
410C22×D3—412no—
411C22×D3—412no—
412C22×D3—412no—
413C22×D3—86no—
414C22×D3—812no—
415C22×D3—86no—
416C22×D3—812no—
417C22×D3C22×D416yes—
418C22×D3H(5,𝔽2)16yes—
419C3×D4—412no—
420C3×D4—412no—
421C3×D4—44no—
422C3×D4—86no—
423C2×C3×C4—26no—
424C2×C3×C4—26no—
425C2×C3×C4—23no—
426C2×C3×C4—23no—
427C2×C3×C4—26no—
428C2×C3×C4—412no—
429C2×C3×C4C22×D416yes—
430C2×C3×C4C22×D416yes—
431#67—424no—
432#67—412no—
433#67—44no—
434#67—412no—
435#67—86no—
436#67—812no—
437#67#127116yescomplemented
438C2×Dic3—23no—
439C2×Dic3—26no—
440C2×Dic3—23no—
441C2×Dic3—23no—
442C2×Dic3—23no—
443C2×Dic3—44no—
444C2×Dic3—44no—
445C2×Dic3C22×D416yes—
446C2×Dic3C22×D416yes—
447C2×Dic3C22×D416yes—
448D12—224no—
449D12—424no—
450D12—412no—
451D12—412no—
452C4×D3—412no—
453C4×D3—44no—
454C4×D3—412no—
455Dic6—44no—
456C24—31no—
457C24—33no—
458C24—33no—
459C24—66no—
460C24—66no—
461C24—66no—
462C24—612no—
463C24—66no—
464C24—612no—
465C24—126no—
466C24—126no—
467C24—123no—
468C24—123no—
469C24C23×D313yes—
470C24C23×D311yescharacteristic
471C24C23×D311yescharacteristic
472#41—1216no—
473C2×Q8—66no—
474C2×D4—212no—
475C2×D4—26no—
476C2×D4—26no—
477C2×D4—26no—
478C2×D4—26no—
479C2×D4—312no—
480C2×D4—46no—
481C2×D4—46no—
482C2×D4—612no—
483C2×D4—612no—
484C2×D4—66no—
485C2×D4—612no—
486C2×D4—66no—
487C2×D4—612no—
488C2×D4—66no—
489C2×D4—612no—
490C2×D4—612no—
491C2×D4—66no—
492C2×D4—66no—
493C2×D4—66no—
494C2×D4—612no—
495C2×D4—66no—
496C2×D4—612no—
497C2×D4—66no—
498C2×D4—126no—
499C2×D4—126no—
500C2×D4—1248no—
501C2×D4—126no—
502C2×D4—123no—
503C2×D4—126no—
504C2×D4—126no—
505C2×D4—126no—
506C2×D4—1248no—
507C2×D4—1248no—
508C22×C4—31no—
509C22×C4—33no—
510C22×C4—33no—
511C22×C4—312no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—46no—
515C22×C4—612no—
516C22×C4—66no—
517C22×C4—66no—
518C22×C4—66no—
519C22×C4—66no—
520C22×C4—126no—
521C22×C4D3×D4112yescomplemented
522C22×C4C23×D311yescharacteristic
523C22×C4C23×D313yes—
524C22×C4C23×D313yes—
525C22×C4C23×D313yes—
526C4⋊C4—26no—
527C4⋊C4—26no—
528C4⋊C4—312no—
529C4⋊C4—66no—
530C4⋊C4—66no—
531C22⋊C4—26no—
532C22⋊C4—26no—
533C22⋊C4—212no—
534C22⋊C4—312no—
535C22⋊C4—312no—
536C22⋊C4—66no—
537C22⋊C4—612no—
538C22⋊C4—612no—
539C22⋊C4—66no—
540C22⋊C4—66no—
541C22⋊C4—66no—
542C22⋊C4—66no—
543C22⋊C4—66no—
544C22⋊C4—66no—
545C22⋊C4—66no—
546C42—312no—
547C42—126no—
548C22×C3—26no—
549C22×C3—26no—
550C22×C3—41no—
551C22×C3—43no—
552C22×C3—46no—
553C22×C3—43no—
554C22×C3—43no—
555C22×C3—43no—
556C22×C3—46no—
557C22×C3—43no—
558C22×C3C2×#12714yes—
559C22×C3C23×D413yes—
560C22×C3C2×H(5,𝔽2)13yes—
561C22×C3#58511yescharacteristic
562C2×D3—26no—
563C2×D3—26no—
564C2×D3—212no—
565C2×D3—26no—
566C2×D3—43no—
567C2×D3—43no—
568C2×D3—46no—
569C2×D3—43no—
570C2×D3—46no—
571C2×D3—43no—
572C2×D3—46no—
573C2×D3—43no—
574C2×D3—824no—
575C2×D3—824no—
576C2×D3C2×#12714yes—
577C3×C4—26no—
578C3×C4—26no—
579C3×C4—41no—
580C3×C4—43no—
581Dic3—26no—
582Dic3—26no—
583Dic3—41no—
584Dic3—41no—
585Dic3C2×#12714yes—
586C23—23no—
587C23—21no—
588C23—23no—
589C23—23no—
590C23—26no—
591C23—23no—
592C23—26no—
593C23—23no—
594C23—21no—
595C23—23no—
596C23—36no—
597C23—36no—
598C23—63no—
599C23—61no—
600C23—63no—
601C23—66no—
602C23—66no—
603C23—63no—
604C23—63no—
605C23—66no—
606C23—66no—
607C23—63no—
608C23—63no—
609C23—1224no—
610C23—1212no—
611C23—1212no—
612C23—1224no—
613C23—1212no—
614C23—1212no—
615C23—246no—
616C23—2412no—
617C23—246no—
618C23—2412no—
619C23C2×D3×D416yes—
620C23C24×D311yescharacteristic
621Q8—124no—
622D4—316no—
623D4—412no—
624D4—412no—
625D4—44no—
626D4—624no—
627D4—86no—
628D4—1224no—
629D4—1212no—
630D4—1212no—
631D4—1212no—
632D4—1224no—
633D4—1212no—
634D4—124no—
635D4—246no—
636D4—2412no—
637C2×C4—26no—
638C2×C4—26no—
639C2×C4—26no—
640C2×C4—23no—
641C2×C4—23no—
642C2×C4—36no—
643C2×C4—36no—
644C2×C4—36no—
645C2×C4—412no—
646C2×C4—63no—
647C2×C4—66no—
648C2×C4—63no—
649C2×C4—63no—
650C2×C4—63no—
651C2×C4—1212no—
652C2×C4—1212no—
653C2×C4—124no—
654C2×C4—124no—
655C2×C4—124no—
656C2×C4C2×D3×D416yes—
657C2×C4C2×D3×D416yes—
658C2×C3—24no—
659C2×C3—83no—
660C2×C3—81no—
661C2×C3C22×#12711yescharacteristic
662C2×C3#348413yes—
663C2×C3#348813yes—
664D3—24no—
665D3—46no—
666D3—83no—
667C22—26no—
668C22—26no—
669C22—34no—
670C22—46no—
671C22—43no—
672C22—43no—
673C22—43no—
674C22—46no—
675C22—43no—
676C22—41no—
677C22—43no—
678C22—66no—
679C22—66no—
680C22—612no—
681C22—66no—
682C22—123no—
683C22—126no—
684C22—123no—
685C22—126no—
686C22—123no—
687C22—126no—
688C22—123no—
689C22—123no—
690C22—2424no—
691C22—2424no—
692C22D3×#12714yes—
693C22C22×D3×D413yes—
694C22D3×H(5,𝔽2)13yes—
695C22#596811yescharacteristic
696C4—26no—
697C4—26no—
698C4—34no—
699C4—43no—
700C4—41no—
701C4—66no—
702C4—66no—
703C4—121no—
704C4—121no—
705C3#3592111yescharacteristic, complemented, Sylow
706C2—24no—
707C2—64no—
708C2—83no—
709C2—81no—
710C2—126no—
711C2—243no—
712C2C2×D3×#12711yescharacteristic
713C2#8630813yes—
714C2#8637913yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2656C2
hypercenter#2656D3
hypocenterC3#35921
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2656

Complements

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

NH ≅ G/Ntype
1. C2×#5610C2semidirect
2. C2×#5609C2semidirect
3. C3×#2656C2semidirect
4. #82708C2semidirect
5. #82653C2semidirect
6. #78111C2semidirect
7. #78107C2semidirect
8. #78036C2semidirect
9. #78019C2semidirect
10. D3×#392C2semidirect
11. #76706C2semidirect
12. #76688C2semidirect
13. #76673C2semidirect
14. C2×#4671C2semidirect
15. #73322C2semidirect
19. C22×D3×D4C22semidirect
20. C23×D12C22semidirect
21. C2×C3×#121C22semidirect
22. C2×C3×#121C22semidirect
23. C2×#940C22semidirect
24. C2×#940C22semidirect
25. C2×#939C22semidirect
26. C2×#937C22semidirect
27. C2×#937C22semidirect
28. C2×#937C22semidirect
29. C2×#935C22semidirect
31. C22×(C2×D3)⋊C4C22semidirect
34. C2×#896C22semidirect
35. C2×#895C22semidirect
36. C2×#894C22semidirect
37. C2×#893C22semidirect
38. C2×#885C22semidirect
39. C2×#884C22semidirect
40. C2×#884C22semidirect
41. C2×#882C22semidirect
42. C2×#67⋊C4C22semidirect
43. C2×D3×C22⋊C4C22semidirect
44. C3×#399C22semidirect
45. C3×#399C22semidirect
46. C3×#392C22semidirect
47. C3×#392C22semidirect
48. C2×C3×#95C22semidirect
49. #5223C22semidirect
50. #5223C22semidirect
51. C4×#217C22semidirect
52. #4993C22semidirect
53. #4993C22semidirect
54. #4988C22semidirect
55. #4960C22semidirect
56. #4960C22semidirect
57. #4960C22semidirect
58. #4960C22semidirect
59. #4957C22semidirect
60. #4957C22semidirect
62. #4671C22semidirect
63. #4671C22semidirect
64. #4671C22semidirect
65. #4666C22semidirect
66. D3×#95C22semidirect
67. #4649C22semidirect
68. #4648C22semidirect
73. #2656D3semidirect
132. C4×#67D4semidirect
178. C2×#121C2×D3semidirect
179. C2×#121C2×D3semidirect
191. #399C2×D3semidirect
192. #399C2×D3semidirect
203. #392C2×D3semidirect
204. #392C2×D3semidirect
213. C2×#95C2×D3semidirect
238. C22×C3×C4C2×D4semidirect
282. C2×C4×D3C2×D4semidirect
291. #217C2×D4semidirect
300. (C2×D3)⋊C4C2×D4semidirect
303. Dic3⋊C4C2×D4semidirect
305. C4×Dic3C2×D4semidirect
437. #67#127semidirect
521. C22×C4D3×D4semidirect
705. C3#35921semidirect

Maximal subgroups

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

subgroupindex
C2×#56102
C2×#56092
C3×#26562
#827082
#826532
#781112
#781072
#780362
#780192
D3×#3922
#767062
#766882
#766732
C2×#46712
#733222
#359213