Finite Group Databasebeta

← #11703727

Subgroups — #11703727

Order 768.

11534 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C3×#41C211yesmaximal, characteristic, complemented
2C2×#5964C211yesmaximal, characteristic, complemented
3#87275C218yesmaximal, complemented
4#87274C212yesmaximal, complemented
5#87273C216yesmaximal, complemented
6#41×#67C2116yesmaximal, complemented
7#87268C216yesmaximal, complemented
8#87264C218yesmaximal, complemented
9#87260C211yesmaximal, characteristic, complemented
10#87251C212yesmaximal, complemented
11#87239C216yesmaximal, complemented
12C2×#5791C216yesmaximal, complemented
13#62811—31nomaximal, Sylow
14C22×C3×#41—216no—
15C22×C3×#41C2211yescharacteristic
16C22×C3×#41C2218yescomplemented
17C22×C3×#41C2213yescomplemented
18C22×C3×#41C2218yescomplemented
19C22×C3×#41C2213yescomplemented
20C22×C3×#41C2211yescharacteristic, complemented
21C23×C3×Q8C2211yescharacteristic, complemented
22C23×C3×D4C2213yescomplemented
23C24×C3×C4C2213yescomplemented
24#5964—216no—
25C2×#1010C2214yescomplemented
26C2×#1009C2214yescomplemented
27C2×D3×#41C2218yescomplemented
28C2×#1007C2212yescomplemented
29C2×#1004C2216yescomplemented
30C22×#235C2216yescomplemented
31C2×#953C22112yescomplemented
32#5834C22116yescomplemented
33#5833C22124yescomplemented
34#5832C22124yescomplemented
35#5831C22116yescomplemented
36#5830C22112yescomplemented
37#5829C22148yescomplemented
38#5828C22124yescomplemented
39#5827C2218yescomplemented
40Dic3×#41C2218yescomplemented
41#5825C22112yescomplemented
42#5824C22148yescomplemented
43#5817C22116yescomplemented
44#5816C22112yescomplemented
45Q8×#67C22116yescomplemented
46#5812C2212yescomplemented
47#5806C22148yescomplemented
48#5805C22112yescomplemented
49#5804C22124yescomplemented
50D4×#67C22148yescomplemented
51#5798C2216yescomplemented
52#5791C2214yescomplemented
53#5791C22112yescomplemented
54#5791C22124yescomplemented
55#5791C22124yescomplemented
56#5791C22112yescomplemented
57#5791C22112yescomplemented
58C2×#930C22112yescomplemented
59C2×#929C22112yescomplemented
60C2×C4×#67C22124yescomplemented
61C2×#926C2216yescomplemented
62C2×#924C22112yescomplemented
63C2×#585—31no—
64C23×#41D311yescharacteristic, complemented
65#3489—38no—
66#3488—38no—
67#3487—32no—
68#3486—32no—
69#3485—36no—
70#3484—36no—
71D4×#41—316no—
72#3449—36no—
73C2×#525—36no—
74#3428—31no—
75C25×C3C2313yes—
76C2×C3×#41—264no—
77C2×C3×#41—264no—
78C2×C3×#41—28no—
79C2×C3×#41—224no—
80C2×C3×#41—224no—
81C2×C3×#41D4116yescomplemented
82C2×C3×#41C23124yes—
83C2×C3×#41C23112yes—
84C2×C3×#41C23112yes—
85C2×C3×#41C2318yes—
86C2×C3×#41C2314yes—
87C2×C3×#41C2314yes—
88C22×C3×Q8—28no—
89C22×C3×Q8C2318yes—
90C22×C3×Q8C2313yes—
91C22×C3×Q8C2311yescharacteristic
92C22×C3×D4—224no—
93C22×C3×D4C23124yes—
94C22×C3×D4C2316yes—
95C22×C3×D4C2313yes—
96C22×C3×D4C2313yes—
97C23×C3×C4—224no—
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2313yes—
100C23×C3×C4C23112yes—
101C23×C3×C4C23112yes—
102C23×C3×C4C2313yes—
103C23×C3×C4C2313yes—
104C23×C3×C4C2313yes—
105C23×C3×C4C2313yes—
106C22×#67C23112yes—
107C22×#67C23124yes—
108#1010—232no—
109#1009—232no—
110D3×#41—264no—
111#1007—216no—
112C2×#239C2318yescomplemented
113C2×D3×Q8C2318yescomplemented
114#1004—248no—
115C2×#237C23124yescomplemented
116C2×D3×D4C23124yescomplemented
117C2×#235—248no—
118C2×#235C2314yes—
119C2×#235C23112yes—
120C2×#235C23112yescomplemented
121C2×#235C23112yescomplemented
122C22×D12C2316yescomplemented
123C22×C4×D3C23112yescomplemented
124C22×Dic6C2316yescomplemented
125#953C2318yes—
126#953C23148yes—
127#953C23124yes—
128C2×#217C23124yes—
129C2×#217C23112yes—
130#947C23124yescomplemented
131#946C23148yescomplemented
132Q8×Dic3C23116yescomplemented
133#944C23124yescomplemented
134#940C23124yescomplemented
135#939C23196yescomplemented
136#938C23148yescomplemented
137#937C23148yescomplemented
138#936C23124yescomplemented
139#935C23148yescomplemented
140D4×Dic3C23148yescomplemented
141#930C2318yes—
142#930C23124yes—
143#930C23124yescomplemented
144#930C23124yescomplemented
145#929C2318yes—
146#929C23124yes—
147#929C23148yescomplemented
148C4×#67C23116yes—
149C4×#67C23148yes—
150C4×#67C23148yescomplemented
151C4×#67C23148yescomplemented
152C2×(C2×D3)⋊C4C23124yescomplemented
153#926C2314yes—
154#926C23112yes—
155#926C23112yescomplemented
156#926C23112yescomplemented
157C2×C4⋊Dic3C23112yescomplemented
158#924C2318yes—
159#924C23124yes—
160#924C23124yescomplemented
161#924C23124yescomplemented
162C2×Dic3⋊C4C23124yescomplemented
163C2×C4×Dic3C23112yescomplemented
164#585—616no—
165C2×2−1+4—34no—
166C2×2−1+4—32no—
167C2×H(5,𝔽2)—34no—
168C2×H(5,𝔽2)—36no—
169C22×#41—216no—
170C22×#41—38no—
171C22×#41—36no—
172C22×#41C2×D311yescharacteristic
173C22×#41C2×D313yescomplemented
174C22×#41C2×D318yescomplemented
175C22×#41C2×D313yescomplemented
176C22×#41C2×D311yescharacteristic, complemented
177C22×#41C2×D318yescomplemented
178C23×Q8C2×D311yescharacteristic, complemented
179C23×D4C2×D313yescomplemented
180C24×C4C2×D313yescomplemented
181#550—316no—
182D4×Q8—316no—
183#548—316no—
184#548—316no—
185#547—348no—
186#546—348no—
187#546—348no—
188D42—348no—
189#537—324no—
190#536—312no—
191#536—312no—
192#535—312no—
193#535—312no—
194#534—324no—
195#532—324no—
196#525—324no—
197#525—34no—
198#525—312no—
199#525—324no—
200#525—312no—
201#525—312no—
202#525—324no—
203C2×#123—312no—
204C2×C22⋊Q8—312no—
205C2×#121—312no—
206C2×#120—312no—
207#520—38no—
208#519—32no—
209#518—36no—
210C4×#41—38no—
211C2×C4×D4—324no—
212C2×#117—36no—
213C24×C3—212no—
214C24×C3—412no—
215C24×C3C2411yescharacteristic
216C24×C3C24112yes—
217C24×C3C2413yes—
218C24×C3C2413yes—
219C23×D3C24112yes—
220C3×#41—232no—
221C3×#41—296no—
222C3×#41—248no—
223C3×#41—248no—
224C3×#41C2×D4132yescomplemented
225C3×#41C2×D4132yescomplemented
226C2×C3×Q8—232no—
227C2×C3×Q8—212no—
228C2×C3×Q8C2×D418yescomplemented
229C2×C3×Q8C24112yes—
230C2×C3×Q8C2414yes—
231C2×C3×D4—224no—
232C2×C3×D4—296no—
233C2×C3×D4—212no—
234C2×C3×D4C2×D4124yescomplemented
235C2×C3×D4C24124yes—
236C2×C3×D4C24112yes—
237C2×C3×D4C24112yes—
238C22×C3×C4—212no—
239C22×C3×C4—24no—
240C22×C3×C4—212no—
241C22×C3×C4—212no—
242C22×C3×C4—212no—
243C22×C3×C4—248no—
244C22×C3×C4—248no—
245C22×C3×C4C2×D4124yescomplemented
246C22×C3×C4C24112yes—
247C22×C3×C4C2412yes—
248C22×C3×C4C24112yes—
249C22×C3×C4C2416yes—
250C22×C3×C4C24112yes—
251C22×C3×C4C2412yes—
252C22×C3×C4C2416yes—
253C22×C3×C4C2411yescharacteristic
254C22×C3×C4C2413yes—
255C22×C3×C4C2416yes—
256C22×C3×C4C2416yes—
257C22×C3×C4C2411yescharacteristic
258C22×C3×C4C2413yes—
259C2×#67—248no—
260C2×#67—448no—
261C2×#67C24116yes—
262C2×#67C2418yes—
263C2×#67C24124yes—
264C2×#67C24148yes—
265C22×Dic3C24112yes—
266C22×Dic3C24124yes—
267#239—232no—
268D3×Q8—232no—
269#237—296no—
270D3×D4—296no—
271#235—216no—
272#235—248no—
273#235—248no—
274#235—248no—
275C2×D12—224no—
276C2×D12C2414yes—
277C2×D12C24112yes—
278C2×C4×D3—248no—
279C2×C4×D3C2418yes—
280C2×C4×D3C24124yes—
281C2×Dic6—224no—
282C2×Dic6C2414yes—
283C2×Dic6C24112yes—
284#217C24116yes—
285#217C24148yes—
286#217C2418yes—
287#217C24124yes—
288(C2×D3)⋊C4C24116yes—
289(C2×D3)⋊C4C24148yes—
290C4⋊Dic3C2418yes—
291C4⋊Dic3C24124yes—
292Dic3⋊C4C24116yes—
293Dic3⋊C4C24148yes—
294C4×Dic3C2418yes—
295C4×Dic3C24124yes—
296C25C22×D313yes—
2972−1+4—632no—
2982−1+4—616no—
299H(5,𝔽2)—632no—
300H(5,𝔽2)—648no—
301C2×#41—264no—
302C2×#41—264no—
303C2×#41—28no—
304C2×#41—224no—
305C2×#41—224no—
306C2×#41—38no—
307C2×#41—324no—
308C2×#41—34no—
309C2×#41—312no—
310C2×#41—312no—
311C2×#41—312no—
312C2×#41—664no—
313C2×#41—648no—
314C2×#41#67116yescomplemented
315C2×#41C22×D3112yes—
316C2×#41C22×D3112yes—
317C2×#41C22×D3124yes—
318C2×#41C22×D318yes—
319C2×#41C22×D314yes—
320C2×#41C22×D314yes—
321C22×Q8—28no—
322C22×Q8—38no—
323C22×Q8—36no—
324C22×Q8C22×D313yes—
325C22×Q8C22×D318yes—
326C22×Q8C22×D311yescharacteristic
327C22×D4—224no—
328C22×D4—312no—
329C22×D4—324no—
330C22×D4—324no—
331C22×D4—36no—
332C22×D4C22×D316yes—
333C22×D4C22×D313yes—
334C22×D4C22×D3124yes—
335C22×D4C22×D313yes—
336C23×C4—224no—
337C23×C4—312no—
338C23×C4C22×D3112yes—
339C23×C4C22×D3112yes—
340C23×C4C22×D313yes—
341C23×C4C22×D311yescharacteristic
342C23×C4C22×D313yes—
343C23×C4C22×D313yes—
344C23×C4C22×D313yes—
345C23×C4C22×D313yes—
346C4⋊Q8—324no—
347#127—324no—
348#124—324no—
349#124—324no—
350#123—348no—
351#123—38no—
352#123—324no—
353#123—348no—
354C22⋊Q8—348no—
355C22⋊Q8—38no—
356C22⋊Q8—324no—
357C22⋊Q8—324no—
358C22⋊Q8—324no—
359#121—348no—
360#121—396no—
361#121—38no—
362#121—324no—
363#121—324no—
364#121—324no—
365#120—38no—
366#120—324no—
367#120—348no—
368#120—348no—
369C4×Q8—316no—
370C4×D4—348no—
371C4×D4—316no—
372C4×D4—348no—
373C4×D4—348no—
374C4×D4—348no—
375#117—34no—
376#117—312no—
377#117—312no—
378#117—312no—
379C2×C4⋊C4—312no—
380C2×C4⋊C4—324no—
381C2×C22⋊C4—312no—
382C2×C22⋊C4—324no—
383C2×C22⋊C4—324no—
384C2×C42—312no—
385C23×C3—22no—
386C23×C3—24no—
387C23×C3—224no—
388C23×C3—26no—
389C23×C3—224no—
390C23×C3—46no—
391C23×C3—412no—
392C23×C3—46no—
393C23×C3—448no—
394C23×C3C22×D4112yes—
395C23×C3C2516yes—
396C23×C3C2511yescharacteristic
397C23×C3C2516yes—
398C23×C3C2512yes—
399C22×D3—224no—
400C22×D3—424no—
401C22×D3C2518yes—
402C3×Q8—224no—
403C3×Q8C22×D4116yes—
404C3×D4—248no—
405C3×D4—224no—
406C3×D4C22×D4148yes—
407C2×C3×C4—22no—
408C2×C3×C4—26no—
409C2×C3×C4—224no—
410C2×C3×C4—24no—
411C2×C3×C4—24no—
412C2×C3×C4—224no—
413C2×C3×C4—224no—
414C2×C3×C4—212no—
415C2×C3×C4—212no—
416C2×C3×C4C22×D4124yes—
417C2×C3×C4C22×D4124yes—
418C2×C3×C4C22×D414yes—
419C2×C3×C4C22×D4112yes—
420C2×C3×C4C2512yes—
421C2×C3×C4C2516yes—
422C2×C3×C4C2516yes—
423C2×C3×C4C2511yescharacteristic
424C2×C3×C4C2511yescharacteristic
425#67—216no—
426#67—248no—
427#67—232no—
428#67—448no—
429C2×Dic3—224no—
430C2×Dic3—424no—
431C2×Dic3C25116yes—
432C2×Dic3C2518yes—
433D12—28no—
434D12—224no—
435C4×D3—216no—
436C4×D3—248no—
437Dic6—28no—
438Dic6—224no—
439C24—212no—
440C24—312no—
441C24—412no—
442C24C23×D311yescharacteristic
443C24C23×D3112yes—
444C24C23×D313yes—
445C24C23×D313yes—
446#41—232no—
447#41—296no—
448#41—248no—
449#41—248no—
450#41—632no—
451#41—696no—
452#41—616no—
453#41—648no—
454#41—648no—
455#41—648no—
456#41C2×#67132yescomplemented
457#41C2×#67132yescomplemented
458C2×Q8—232no—
459C2×Q8—212no—
460C2×Q8—34no—
461C2×Q8—312no—
462C2×Q8—632no—
463C2×Q8—624no—
464C2×Q8C2×#6718yescomplemented
465C2×Q8C23×D3112yes—
466C2×Q8C23×D314yes—
467C2×D4—224no—
468C2×D4—296no—
469C2×D4—212no—
470C2×D4—316no—
471C2×D4—38no—
472C2×D4—324no—
473C2×D4—348no—
474C2×D4—34no—
475C2×D4—312no—
476C2×D4—648no—
477C2×D4—696no—
478C2×D4—624no—
479C2×D4—1248no—
480C2×D4C2×#67124yescomplemented
481C2×D4C23×D3124yes—
482C2×D4C23×D3112yes—
483C2×D4C23×D3112yes—
484C22×C4—212no—
485C22×C4—24no—
486C22×C4—212no—
487C22×C4—212no—
488C22×C4—212no—
489C22×C4—248no—
490C22×C4—248no—
491C22×C4—312no—
492C22×C4—324no—
493C22×C4—324no—
494C22×C4—38no—
495C22×C4—648no—
496C22×C4C2×#67124yescomplemented
497C22×C4C23×D3112yes—
498C22×C4C23×D3112yes—
499C22×C4C23×D3112yes—
500C22×C4C23×D312yes—
501C22×C4C23×D316yes—
502C22×C4C23×D311yescharacteristic
503C22×C4C23×D313yes—
504C22×C4C23×D312yes—
505C22×C4C23×D316yes—
506C22×C4C23×D316yes—
507C22×C4C23×D313yes—
508C22×C4C23×D316yes—
509C22×C4C23×D311yescharacteristic
510C4⋊C4—38no—
511C4⋊C4—316no—
512C4⋊C4—324no—
513C4⋊C4—348no—
514C22⋊C4—38no—
515C22⋊C4—316no—
516C22⋊C4—324no—
517C22⋊C4—348no—
518C22⋊C4—316no—
519C22⋊C4—348no—
520C42—324no—
521C42—38no—
522C22×C3—28no—
523C22×C3—22no—
524C22×C3—212no—
525C22×C3—22no—
526C22×C3—22no—
527C22×C3—26no—
528C22×C3—212no—
529C22×C3—412no—
530C22×C3—448no—
531C22×C3—412no—
532C22×C3C23×D4112yes—
533C22×C3C23×D412yes—
534C22×C3#58514yescomplemented
535C22×C3C2611yescharacteristic
536C2×D3—28no—
537C2×D3—216no—
538C2×D3—824no—
539C3×C4—22no—
540C3×C4—26no—
541C3×C4C23×D412yes—
542C3×C4C23×D4112yes—
543C3×C4C23×D412yes—
544Dic3—28no—
545Dic3—216no—
546C23—24no—
547C23—22no—
548C23—224no—
549C23—224no—
550C23—26no—
551C23—38no—
552C23—46no—
553C23—412no—
554C23—46no—
555C23—448no—
556C23—624no—
557C23—1224no—
558C23C22×#67112yes—
559C23C24×D316yes—
560C23C24×D312yes—
561C23C24×D311yescharacteristic
562C23C24×D316yes—
563Q8—224no—
564Q8—68no—
565Q8—624no—
566Q8C22×#67116yes—
567D4—248no—
568D4—224no—
569D4—632no—
570D4—616no—
571D4—648no—
572D4—68no—
573D4—624no—
574D4—1248no—
575D4C22×#67148yes—
576C2×C4—22no—
577C2×C4—26no—
578C2×C4—224no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—224no—
582C2×C4—224no—
583C2×C4—212no—
584C2×C4—212no—
585C2×C4—316no—
586C2×C4—38no—
587C2×C4—624no—
588C2×C4—616no—
589C2×C4—648no—
590C2×C4—1224no—
591C2×C4C22×#6714yes—
592C2×C4C22×#67124yes—
593C2×C4C22×#67112yes—
594C2×C4C22×#67124yes—
595C2×C4C24×D312yes—
596C2×C4C24×D316yes—
597C2×C4C24×D316yes—
598C2×C4C24×D311yescharacteristic
599C2×C4C24×D311yescharacteristic
600C2×C3—212no—
601C2×C3—22no—
602C2×C3—24no—
603C2×C3—46no—
604C2×C3C24×D411yescharacteristic
605C2×C3C2×#58512yes—
606D3—48no—
607C22—28no—
608C22—212no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—212no—
613C22—26no—
614C22—412no—
615C22—448no—
616C22—412no—
617C22—616no—
618C22—68no—
619C22—2424no—
620C22#596414yescomplemented
621C22C23×#6712yes—
622C22C23×#67112yes—
623C22C25×D311yescharacteristic
624C4—22no—
625C4—26no—
626C4—616no—
627C4—68no—
628C4C23×#6712yes—
629C4C23×#6712yes—
630C4C23×#67112yes—
631C3#6281111yescharacteristic, complemented, Sylow
632C2—24no—
633C2—22no—
634C2—212no—
635C2—46no—
636C2—128no—
637C2C2×#596412yes—
638C2C24×#6711yescharacteristic
subgroupG/H
centerC2×C4C24×D3
commutator, socle, cosocleC22×C3C26
FrattiniC22C25×D3
FittingC23×C3×#41C2
hypercenterC23×#41D3
hypocenterC3#62811
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C23×#41

Complements

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

NH ≅ G/Ntype
1. C23×C3×#41C2semidirect
2. C2×#5964C2semidirect
3. #87275C2semidirect
4. #87274C2semidirect
5. #87273C2semidirect
6. #41×#67C2semidirect
7. #87268C2semidirect
8. #87264C2semidirect
9. #87260C2semidirect
10. #87251C2semidirect
11. #87239C2semidirect
12. C2×#5791C2semidirect
16. C22×C3×#41C22semidirect
17. C22×C3×#41C22semidirect
18. C22×C3×#41C22semidirect
19. C22×C3×#41C22semidirect
20. C22×C3×#41C22semidirect
21. C23×C3×Q8C22semidirect
22. C23×C3×D4C22semidirect
23. C24×C3×C4C22semidirect
25. C2×#1010C22semidirect
26. C2×#1009C22semidirect
27. C2×D3×#41C22semidirect
28. C2×#1007C22semidirect
29. C2×#1004C22semidirect
30. C22×#235C22semidirect
31. C2×#953C22semidirect
32. #5834C22semidirect
33. #5833C22semidirect
34. #5832C22semidirect
35. #5831C22semidirect
36. #5830C22semidirect
37. #5829C22semidirect
38. #5828C22semidirect
39. #5827C22semidirect
40. Dic3×#41C22semidirect
41. #5825C22semidirect
42. #5824C22semidirect
43. #5817C22semidirect
44. #5816C22semidirect
45. Q8×#67C22semidirect
46. #5812C22semidirect
47. #5806C22semidirect
48. #5805C22semidirect
49. #5804C22semidirect
50. D4×#67C22semidirect
51. #5798C22semidirect
52. #5791C22semidirect
53. #5791C22semidirect
54. #5791C22semidirect
55. #5791C22semidirect
56. #5791C22semidirect
57. #5791C22semidirect
58. C2×#930C22semidirect
59. C2×#929C22semidirect
60. C2×C4×#67C22semidirect
61. C2×#926C22semidirect
62. C2×#924C22semidirect
64. C23×#41D3semidirect
81. C2×C3×#41D4semidirect
112. C2×#239C23semidirect
113. C2×D3×Q8C23semidirect
115. C2×#237C23semidirect
116. C2×D3×D4C23semidirect
120. C2×#235C23semidirect
121. C2×#235C23semidirect
122. C22×D12C23semidirect
123. C22×C4×D3C23semidirect
124. C22×Dic6C23semidirect
130. #947C23semidirect
131. #946C23semidirect
132. Q8×Dic3C23semidirect
133. #944C23semidirect
134. #940C23semidirect
135. #939C23semidirect
136. #938C23semidirect
137. #937C23semidirect
138. #936C23semidirect
139. #935C23semidirect
140. D4×Dic3C23semidirect
143. #930C23semidirect
144. #930C23semidirect
147. #929C23semidirect
150. C4×#67C23semidirect
151. C4×#67C23semidirect
152. C2×(C2×D3)⋊C4C23semidirect
155. #926C23semidirect
156. #926C23semidirect
157. C2×C4⋊Dic3C23semidirect
160. #924C23semidirect
161. #924C23semidirect
162. C2×Dic3⋊C4C23semidirect
163. C2×C4×Dic3C23semidirect
173. C22×#41C2×D3semidirect
174. C22×#41C2×D3semidirect
175. C22×#41C2×D3semidirect
176. C22×#41C2×D3semidirect
177. C22×#41C2×D3semidirect
178. C23×Q8C2×D3semidirect
179. C23×D4C2×D3semidirect
180. C24×C4C2×D3semidirect
224. C3×#41C2×D4semidirect
225. C3×#41C2×D4semidirect
228. C2×C3×Q8C2×D4semidirect
234. C2×C3×D4C2×D4semidirect
245. C22×C3×C4C2×D4semidirect
314. C2×#41#67semidirect
456. #41C2×#67semidirect
457. #41C2×#67semidirect
464. C2×Q8C2×#67semidirect
480. C2×D4C2×#67semidirect
496. C22×C4C2×#67semidirect
534. C22×C3#585semidirect
620. C22#5964semidirect
631. C3#62811semidirect

Maximal subgroups

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

subgroupindex
C23×C3×#412
C2×#59642
#872752
#872742
#872732
#41×#672
#872682
#872642
#872602
#872512
#872392
C2×#57912
#628113