Finite Group Databasebeta

← #11705563

Subgroups — #11705563

Order 768.

6986 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3492C211yesmaximal, characteristic, complemented
2#86953C214yesmaximal, complemented
3#86940C214yesmaximal, complemented
4#86919C214yesmaximal, complemented
5#86896C214yesmaximal, complemented
6#86847C214yesmaximal, complemented
7#86836C214yesmaximal, complemented
8#86696C214yesmaximal, complemented
9#86679C214yesmaximal, complemented
10#86599C211yesmaximal, characteristic, complemented
11D3×#544C211yesmaximal, characteristic, complemented
12#86461C214yesmaximal, complemented
13#86435C214yesmaximal, complemented
14#86381C211yesmaximal, characteristic, complemented
15#86364C211yesmaximal, characteristic, complemented
16#86042C214yesmaximal, complemented
17#86030C214yesmaximal, complemented
18#86027C212yesmaximal, complemented
19#86021C212yesmaximal, complemented
20#85903C212yesmaximal, complemented
21#85889C212yesmaximal, complemented
22C2×#5507C211yesmaximal, characteristic, complemented
23C2×#5500C211yesmaximal, characteristic, complemented
24#62915—31nomaximal, Sylow
25C2×#1010C2214yescomplemented
26C22×#235C2212yes—
27C3×#554C2214yescomplemented
28C3×#553C2214yescomplemented
29C3×#552C2214yescomplemented
30C3×#547C2214yescomplemented
31C3×#544C2211yescharacteristic
32C3×#539C2214yes—
33C3×#537C2211yescharacteristic
34C3×#525C2212yes—
35C3×#525C2214yes—
36C3×#520C2212yes—
37C22×C3×C4⋊C4C2211yescharacteristic
38#5833C2214yescomplemented
39#5830C2212yes—
40#5828C2212yes—
41#5827C2212yes—
42Dic3×#41C2212yes—
43#5824C2218yescomplemented
44C2×#930C2211yescharacteristic
45C2×#929C2212yes—
46C2×C4×#67C2211yescharacteristic
47C2×#926C2212yes—
48C2×#924C2214yes—
49#5730C2214yescomplemented
50#5729C2214yescomplemented
51#5727C2214yescomplemented
52D3×C4⋊Q8C2214yescomplemented
53#5712C2218yescomplemented
54#5710C2218yescomplemented
55#5708C2218yescomplemented
56#5707C2218yescomplemented
57#5699C2218yescomplemented
58#5696C2218yescomplemented
59#5694C2218yescomplemented
60#5690C2214yescomplemented
61#5690C2214yescomplemented
62#5689C2214yescomplemented
63#5689C2218yescomplemented
64D3×#125C2214yescomplemented
65#5667C2218yescomplemented
66#5665C2218yescomplemented
67#5660C2218yescomplemented
68#5658C2214yes—
69#5658C2218yes—
70#5655C2218yescomplemented
71#5655C2218yescomplemented
72#5655C2218yescomplemented
73#5650C2214yes—
74#5648C2218yescomplemented
75#5648C2218yescomplemented
76#5646C2218yescomplemented
77#5646C2218yescomplemented
78#5645C2218yescomplemented
79#5643C2214yescomplemented
80#5643C2214yescomplemented
81#5642C2212yescomplemented
82#5641C2212yescomplemented
83#5639C2212yescomplemented
84#5639C2214yescomplemented
85#5635C2212yescomplemented
86#5635C2214yescomplemented
87#5634C2214yes—
88#5632C2218yescomplemented
89#5628C2214yescomplemented
90#5628C2214yescomplemented
91#5628C2218yescomplemented
92D3×C22⋊Q8C2214yes—
93D3×C22⋊Q8C2214yes—
94#5624C2214yescomplemented
95#5624C2214yescomplemented
96#5623C2214yes—
97#5621C2218yescomplemented
98#5619C2214yescomplemented
99#5619C2214yescomplemented
100#5618C2212yescomplemented
101#5617C2214yes—
102#5616C2212yescomplemented
103#5614C2212yescomplemented
104#5614C2214yescomplemented
105#5611C2212yescomplemented
106#5611C2214yescomplemented
107#5608C2214yescomplemented
108#5608C2214yescomplemented
109#5606C2214yes—
110#5606C2214yes—
111#5602C2214yes—
112#5596C2214yescomplemented
113#5596C2214yescomplemented
114#5591C2214yes—
115#5591C2218yes—
116#5587C2214yes—
117#5582C2214yescomplemented
118#5580C2214yescomplemented
119#5569C2214yescomplemented
120Q8×Dic6C2214yescomplemented
121#5565C2214yescomplemented
122#5565C2214yescomplemented
123#5564C2218yescomplemented
124#5563C2214yescomplemented
125#5562C2214yescomplemented
126#5561C2218yescomplemented
127#5557C2214yescomplemented
128#5556C2218yes—
129#5555C2214yescomplemented
130#5552C2218yescomplemented
131#5551C2218yescomplemented
132#5550C2218yes—
133#5548C2214yescomplemented
134#5539C2218yes—
135#5539C2214yescomplemented
136#5538C2214yescomplemented
137#5538C2214yescomplemented
138D4×Dic6C2218yes—
139D4×Dic6C2214yescomplemented
140C4×#237C2214yescomplemented
141#5532C2214yescomplemented
142#5531C2218yescomplemented
143#5530C2214yescomplemented
144#5526C2214yescomplemented
145#5523C2214yescomplemented
146#5521C2212yes—
147D3×#117C2212yes—
148#5519C2212yes—
149#5519C2214yescomplemented
150#5517C2212yes—
151#5517C2214yescomplemented
152#5514C2214yescomplemented
153C2×#896C2212yes—
154#5507C2214yes—
155#5507C2214yes—
156#5507C2214yes—
157#5507C2214yes—
158#5507C2214yescomplemented
159C2×#895C2211yescharacteristic
160C2×#894C2212yes—
161C2×#893C2211yescharacteristic
162C2×D3×C4⋊C4C2211yescharacteristic
163#5500C2211yescharacteristic
164#5500C2211yescharacteristic
165#5500C2212yes—
166#5500C2214yes—
167#5500C2214yescomplemented
168#5500C2214yescomplemented
169#5500C2214yescomplemented
170C2×#890C2214yescomplemented
171C2×#888C2211yescharacteristic
172C2×#888C2214yescomplemented
173C2×#888C2214yescomplemented
174#3559—34no—
175#3559—34no—
176#3552—34no—
177#3547—34no—
178#3544—34no—
179#3544—34no—
180#3538—34no—
181#3535—34no—
182#3535—34no—
183#3515—34no—
184#3503—32no—
185#3501—31no—
186#3499—34no—
187#3494—32no—
188#3494—32no—
189#3492—31no—
190#3492D311yescharacteristic, complemented
191#3489—34no—
192#3475—32no—
193C2×#547—31no—
194#3460—31no—
195C2×#544—31no—
196C2×#544—31no—
197C2×C3×#41C2312yes—
198C2×C3×#41C2314yes—
199C23×C3×C4C2311yescharacteristic
200C23×C3×C4C2312yes—
201C22×#67C2311yescharacteristic
202C22×#67C2312yes—
203#1010—416no—
204C2×D3×Q8C2314yes—
205C2×D3×Q8C2314yes—
206C2×#237C2314yes—
207C2×#237C2314yes—
208C2×#237C2318yes—
209C2×#237C2314yes—
210C2×#235—48no—
211C2×#235C2314yes—
212C2×#235C2314yes—
213C2×#235C2318yes—
214C2×#235C2314yes—
215C2×#235C2314yes—
216C22×D12C2311yescharacteristic
217C22×D12C2312yes—
218C22×C4×D3C2311yescharacteristic
219C22×C4×D3C2312yes—
220C22×C4×D3C2312yes—
221C22×Dic6C2318yes—
222C22×Dic6C2314yes—
223C22×Dic6C2312yes—
224C3×C4⋊Q8C2314yes—
225C3×#126C2318yes—
226C3×#125C2314yes—
227C3×#125C2318yes—
228C3×#123C2318yes—
229C3×#123C2318yes—
230C3×#123C2314yes—
231C3×C22⋊Q8C2318yes—
232C3×C22⋊Q8C2314yes—
233C3×C22⋊Q8C2314yes—
234C3×C22⋊Q8C2312yes—
235C3×C22⋊Q8C2312yes—
236C3×C22⋊Q8C2314yes—
237C3×#121C2312yes—
238C3×#121C2314yes—
239C3×#121C2314yes—
240C3×#121C2314yes—
241C3×#121C2312yes—
242C3×#120C2314yes—
243C3×C4×Q8C2314yes—
244C3×C4×D4C2314yes—
245C3×C4×D4C2318yes—
246C3×C4×D4C2314yes—
247C3×C4×D4C2314yes—
248C3×C4×D4C2318yes—
249C3×#117C2312yes—
250C3×#117C2314yes—
251C3×#117C2314yes—
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2314yes—
254C2×C3×C4⋊C4C2314yes—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2312yes—
257C2×C3×C4⋊C4C2314yes—
258C2×#217C2314yes—
259C2×#217C2311yescharacteristic
260#947C2314yes—
261#946C2318yes—
262#946C2312yes—
263#946C2312yes—
264#946C2314yes—
265#946C2314yes—
266Q8×Dic3C2314yes—
267Q8×Dic3C2312yes—
268Q8×Dic3C2312yes—
269#944C2318yes—
270#940C2314yes—
271#939C2314yes—
272#939C2318yes—
273#939C2318yes—
274#939C2314yes—
275#939C2318yes—
276#938C2314yes—
277#938C2314yes—
278#938C2312yes—
279#938C2314yes—
280#938C2318yes—
281#938C2312yes—
282#937C2314yes—
283#937C2318yes—
284#936C2314yes—
285#935C2314yes—
286#935C2318yes—
287#935C2314yes—
288#935C2314yes—
289D4×Dic3C2314yes—
290D4×Dic3C2318yes—
291D4×Dic3C2314yes—
292D4×Dic3C2314yes—
293D4×Dic3C2312yes—
294D4×Dic3C2314yes—
295D4×Dic3C2312yes—
296#930C2314yes—
297#930C2314yes—
298#930C2318yes—
299#930C2314yes—
300#930C2314yes—
301#929C2318yes—
302#929C2318yes—
303#929C2318yes—
304C4×#67C2318yes—
305C4×#67C2312yes—
306C4×#67C2314yes—
307C4×#67C2312yes—
308C4×#67C2314yes—
309C4×#67C2312yes—
310C4×#67C2312yes—
311C2×(C2×D3)⋊C4C2312yes—
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2312yes—
314C2×(C2×D3)⋊C4C2312yes—
315#926C2312yes—
316#926C2314yes—
317#926C2312yes—
318#926C2314yes—
319#926C2314yes—
320#926C2314yes—
321#926C2312yes—
322#926C2312yes—
323C2×C4⋊Dic3C2314yes—
324C2×C4⋊Dic3C2312yes—
325C2×C4⋊Dic3C2312yes—
326C2×C4⋊Dic3C2314yes—
327C2×C4⋊Dic3C2311yescharacteristic
328#924C2314yes—
329#924C2318yes—
330#924C2318yes—
331#924C2318yes—
332#924C2318yes—
333#924C2314yes—
334#924C2314yes—
335#924C2314yes—
336C2×Dic3⋊C4C2318yes—
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2318yes—
339C2×Dic3⋊C4C2312yes—
340C2×Dic3⋊C4C2312yes—
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2314yes—
343C2×C4×Dic3C2314yes—
344#898C2314yes—
345#898C2314yes—
346#898C2318yes—
347#898C2318yes—
348#898C2318yes—
349#898C2318yes—
350#897C2318yes—
351#897C2318yes—
352#897C2314yes—
353#897C2314yes—
354#897C2314yes—
355#897C2314yes—
356#897C2314yes—
357#896C2318yes—
358#896C2318yes—
359#896C2318yes—
360#896C2318yes—
361#896C2318yes—
362#896C2318yes—
363#896C2318yes—
364#895C2314yes—
365#895C2314yes—
366#894C2318yes—
367#894C2318yes—
368#894C2318yes—
369#894C2318yes—
370#893C2314yes—
371#893C2314yes—
372#893C2314yes—
373#893C2314yes—
374#892C2314yes—
375#892C2314yes—
376#892C2312yes—
377#892C2312yes—
378#892C2318yes—
379#892C2314yes—
380D3×C4⋊C4C2312yes—
381D3×C4⋊C4C2314yes—
382D3×C4⋊C4C2314yes—
383D3×C4⋊C4C2312yes—
384D3×C4⋊C4C2318yes—
385D3×C4⋊C4C2318yes—
386D3×C4⋊C4C2314yes—
387D3×C4⋊C4C2314yes—
388#890C2314yes—
389#890C2312yes—
390#890C2314yes—
391#890C2312yes—
392#890C2318yes—
393#890C2318yes—
394#890C2318yes—
395#890C2314yes—
396#890C2314yes—
397#890C2314yes—
398#890C2314yes—
399#889C2318yes—
400#889C2314yes—
401#889C2314yes—
402#889C2318yes—
403#889C2318yes—
404#888C2318yes—
405#888C2318yes—
406#888C2312yes—
407#888C2314yes—
408#888C2312yes—
409#888C2314yes—
410#888C2314yes—
411#888C2318yes—
412#888C2318yes—
413#888C2318yes—
414#888C2318yes—
415#888C2314yes—
416#888C2314yes—
417#888C2314yes—
418#888C2314yes—
419#887C2314yes—
420#886C2314yes—
421#886C2314yes—
422#886C2318yes—
423#886C2318yes—
424#886C2318yes—
425#885C2314yes—
426#885C2318yes—
427#885C2318yes—
428#885C2318yes—
429#885C2318yes—
430#885C2314yes—
431#884C2318yes—
432#884C2318yes—
433#883C2318yes—
434#883C2314yes—
435#883C2318yes—
436#883C2318yes—
437#883C2314yes—
438#883C2318yes—
439#883C2318yes—
440#67⋊C4C2318yes—
441#67⋊C4C2318yes—
442#67⋊C4C2318yes—
443#67⋊C4C2314yes—
444#67⋊C4C2314yes—
445#67⋊C4C2318yes—
446D3×C22⋊C4C2318yes—
447D3×C22⋊C4C2314yes—
448#879C2314yes—
449#879C2318yes—
450#879C2314yes—
451#879C2314yes—
452#879C2314yes—
453#878C2314yes—
454#878C2318yes—
455#878C2314yes—
456#878C2314yes—
457#878C2318yes—
458#878C2318yes—
459#878C2314yes—
460#878C2318yes—
461#878C2318yes—
462#878C2318yes—
463#877C2314yes—
464#877C2314yes—
465#877C2314yes—
466#876C2318yes—
467#875C2318yes—
468C4×D12C2314yes—
469C4×D12C2314yes—
470C4×D12C2318yes—
471#872C2318yes—
472#872C2314yes—
473C42×D3C2314yes—
474#870C2314yes—
475#870C2318yes—
476#869C2318yes—
477#869C2314yes—
478C4×Dic6C2314yes—
479C4×Dic6C2314yes—
480C4×Dic6C2318yes—
481C4×Dic6C2318yes—
482C2×2−1+4—34no—
483C22×#41—32no—
484#563—38no—
485#563—38no—
486#563—38no—
487#563—38no—
488#562—38no—
489#562—38no—
490Q82—34no—
491#557—34no—
492#556—32no—
493#555—32no—
494#555—34no—
495#555—34no—
496#554—34no—
497#554—34no—
498#554—34no—
499#554—32no—
500#554—34no—
501#554—38no—
502#554—34no—
503#554C2×D314yescomplemented
504#553—32no—
505#553—32no—
506#553—34no—
507#553—34no—
508#553—34no—
509#553—34no—
510#553—34no—
511#553C2×D314yescomplemented
512#552—38no—
513#552—38no—
514#552—34no—
515#552—32no—
516#552—34no—
517#552—32no—
518#552—38no—
519#552C2×D314yescomplemented
520#551—34no—
521#551—38no—
522#551—34no—
523#551—38no—
524D4×Q8—34no—
525D4×Q8—38no—
526D4×Q8—38no—
527D4×Q8—34no—
528#548—38no—
529#547—38no—
530#547—38no—
531#547—38no—
532#547—38no—
533#547—32no—
534#547—34no—
535#547—38no—
536#547—34no—
537#547—34no—
538#547—34no—
539#547—34no—
540#547—34no—
541#547—34no—
542#547C2×D314yescomplemented
543#546—34no—
544#546—38no—
545#546—38no—
546#544—34no—
547#544—34no—
548#544—38no—
549#544—34no—
550#544—32no—
551#544—34no—
552#544—31no—
553#544—31no—
554#544—32no—
555#544—34no—
556#544—34no—
557#544—34no—
558#544—34no—
559#544C2×D311yescharacteristic
560#543—34no—
561#542—38no—
562#542—34no—
563#542—34no—
564#542—34no—
565#542—38no—
566#541—38no—
567#540—34no—
568#540—34no—
569#540—34no—
570#539—38no—
571#539—38no—
572#539—38no—
573#539—38no—
574#539—34no—
575#539—38no—
576#539C2×D314yes—
577#538—34no—
578#537—34no—
579#537—34no—
580#537—34no—
581#537C2×D311yescharacteristic
582#536—38no—
583#536—38no—
584#536—34no—
585#536—34no—
586#536—38no—
587#536—34no—
588#535—32no—
589#533—32no—
590#533—34no—
591#532—34no—
592#532—34no—
593#532—34no—
594C2×C4⋊Q8—34no—
595C2×C4⋊Q8—31no—
596C2×C4⋊Q8—34no—
597C2×C4⋊Q8—34no—
598#529—34no—
599#529—34no—
600#529—34no—
601#529—34no—
602#529—34no—
603#529—34no—
604C2×#125—34no—
605C2×#125—34no—
606#525—32no—
607#525—34no—
608#525—34no—
609#525C2×D312yes—
610#525C2×D314yes—
611C2×#123—32no—
612C2×#123—32no—
613C2×C22⋊Q8—34no—
614C2×C22⋊Q8—34no—
615C2×C22⋊Q8—34no—
616C2×C22⋊Q8—32no—
617C2×#121—31no—
618C2×#121—31no—
619#520—32no—
620#520—34no—
621#520C2×D312yes—
622#518—32no—
623C4×#41—32no—
624C4×#41—34no—
625C2×C4×D4—31no—
626C2×C4×D4—31no—
627C2×#117—32no—
628C2×#117—32no—
629C22×C4⋊C4—31no—
630C22×C4⋊C4C2×D311yescharacteristic
631C24×C3C2411yescharacteristic
632C23×D3C2411yescharacteristic
633C23×D3C2412yes—
634C3×#41—28no—
635C3×#41—48no—
636C2×C3×Q8C2412yes—
637C2×C3×Q8C2414yes—
638C2×C3×D4C2414yes—
639C2×C3×D4C2412yes—
640C2×C3×D4C2414yes—
641C2×C3×D4C2414yes—
642C2×C3×D4C2414yes—
643C22×C3×C4—24no—
644C22×C3×C4—44no—
645C22×C3×C4C2412yes—
646C22×C3×C4C2414yes—
647C22×C3×C4C2414yes—
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2412yes—
650C22×C3×C4C2412yes—
651C22×C3×C4C2412yes—
652C22×C3×C4C2418yes—
653C22×C3×C4C2414yes—
654C22×C3×C4C2411yescharacteristic
655C2×#67—24no—
656C2×#67—44no—
657C2×#67C2414yes—
658C2×#67C2414yes—
659C2×#67C2411yescharacteristic
660C2×#67C2411yescharacteristic
661C2×#67C2411yescharacteristic
662C2×#67C2418yes—
663C2×#67C2414yes—
664C2×#67C2414yes—
665C2×#67C2418yes—
666C2×#67C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2414yes—
669C22×Dic3C2414yes—
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2412yes—
673C22×Dic3C2418yes—
674C22×Dic3C2414yes—
675C22×Dic3C2414yes—
676D3×Q8—48no—
677D3×Q8—48no—
678#237—216no—
679#237—48no—
680#237—48no—
681#237—416no—
682#235—216no—
683#235—48no—
684#235—48no—
685#235—416no—
686#235—48no—
687C2×D12—24no—
688C2×D12—44no—
689C2×D12C2414yes—
690C2×D12C2414yes—
691C2×D12C2414yes—
692C2×C4×D3—24no—
693C2×C4×D3—44no—
694C2×C4×D3—44no—
695C2×C4×D3C2412yes—
696C2×C4×D3C2414yes—
697C2×C4×D3C2412yes—
698C2×C4×D3C2414yes—
699C2×C4×D3C2414yes—
700C2×C4×D3C2414yes—
701C2×C4×D3C2418yes—
702C2×C4×D3C2418yes—
703C2×C4×D3C2414yes—
704C2×C4×D3C2414yes—
705C2×Dic6—44no—
706C2×Dic6—416no—
707C2×Dic6—48no—
708C2×Dic6C2414yes—
709C2×Dic6C2414yes—
710C2×Dic6C2414yes—
711C2×Dic6C2414yes—
712C2×Dic6C2418yes—
713C2×Dic6C2418yes—
714C2×Dic6C2414yes—
715C2×Dic6C2414yes—
716C3×C4⋊C4C2414yes—
717C3×C4⋊C4C2414yes—
718C3×C4⋊C4C2412yes—
719C3×C4⋊C4C2418yes—
720C3×C4⋊C4C2414yes—
721C3×C4⋊C4C2418yes—
722C3×C4⋊C4C2418yes—
723C3×C4⋊C4C2412yes—
724C3×C4⋊C4C2414yes—
725C3×C4⋊C4C2414yes—
726C3×C4⋊C4C2414yes—
727C3×C22⋊C4C2414yes—
728C3×C22⋊C4C2414yes—
729C3×C22⋊C4C2414yes—
730C3×C22⋊C4C2418yes—
731C3×C22⋊C4C2418yes—
732C3×C22⋊C4C2414yes—
733C3×C22⋊C4C2414yes—
734C3×C42C2414yes—
735C3×C42C2418yes—
736#217C2412yes—
737#217C2414yes—
738#217C2414yes—
739#217C2414yes—
740#217C2414yes—
741#217C2418yes—
742#217C2414yes—
743#217C2414yes—
744#217C2412yes—
745#217C2414yes—
746#217C2414yes—
747(C2×D3)⋊C4C2414yes—
748(C2×D3)⋊C4C2418yes—
749(C2×D3)⋊C4C2418yes—
750(C2×D3)⋊C4C2414yes—
751(C2×D3)⋊C4C2414yes—
752(C2×D3)⋊C4C2418yes—
753(C2×D3)⋊C4C2418yes—
754(C2×D3)⋊C4C2418yes—
755(C2×D3)⋊C4C2414yes—
756(C2×D3)⋊C4C2412yes—
757(C2×D3)⋊C4C2418yes—
758(C2×D3)⋊C4C2412yes—
759(C2×D3)⋊C4C2418yes—
760C4⋊Dic3C2414yes—
761C4⋊Dic3C2418yes—
762C4⋊Dic3C2418yes—
763C4⋊Dic3C2414yes—
764C4⋊Dic3C2414yes—
765C4⋊Dic3C2412yes—
766C4⋊Dic3C2418yes—
767C4⋊Dic3C2414yes—
768C4⋊Dic3C2414yes—
769C4⋊Dic3C2412yes—
770C4⋊Dic3C2412yes—
771C4⋊Dic3C2412yes—
772C4⋊Dic3C2414yes—
773C4⋊Dic3C2414yes—
774C4⋊Dic3C2414yes—
775C4⋊Dic3C2414yes—
776Dic3⋊C4C2414yes—
777Dic3⋊C4C2414yes—
778Dic3⋊C4C2418yes—
779Dic3⋊C4C2418yes—
780Dic3⋊C4C2418yes—
781Dic3⋊C4C2414yes—
782Dic3⋊C4C2414yes—
783Dic3⋊C4C2418yes—
784Dic3⋊C4C2418yes—
785Dic3⋊C4C2414yes—
786Dic3⋊C4C2414yes—
787Dic3⋊C4C2414yes—
788Dic3⋊C4C2414yes—
789Dic3⋊C4C2412yes—
790Dic3⋊C4C2418yes—
791Dic3⋊C4C2412yes—
792Dic3⋊C4C2418yes—
793Dic3⋊C4C2418yes—
794C4×Dic3C2414yes—
795C4×Dic3C2418yes—
796C4×Dic3C2414yes—
797C4×Dic3C2412yes—
798C4×Dic3C2412yes—
799C4×Dic3C2414yes—
800C4×Dic3C2414yes—
801C4×Dic3C2414yes—
802C4×Dic3C2414yes—
803C4×Dic3C2414yes—
804C4×Dic3C2414yes—
8052−1+4—1216no—
806C2×#41—34no—
807C2×#41—34no—
808C2×#41—34no—
809C2×#41—38no—
810C2×#41—34no—
811C2×#41—38no—
812C2×#41—34no—
813C2×#41—34no—
814C2×#41—34no—
815C2×#41—128no—
816C2×#41C22×D312yes—
817C2×#41C22×D314yes—
818C22×Q8—34no—
819C22×Q8—34no—
820C22×Q8—34no—
821C22×Q8—32no—
822C22×Q8—38no—
823C22×D4—31no—
824C22×D4—32no—
825C22×D4—31no—
826C22×D4—32no—
827C23×C4—31no—
828C23×C4—32no—
829C23×C4—32no—
830C23×C4C22×D311yescharacteristic
831C23×C4C22×D312yes—
832C4⋊Q8—38no—
833C4⋊Q8—34no—
834C4⋊Q8—34no—
835C4⋊Q8—34no—
836C4⋊Q8—34no—
837C4⋊Q8—32no—
838C4⋊Q8—38no—
839C4⋊Q8—38no—
840C4⋊Q8—38no—
841C4⋊Q8—38no—
842C4⋊Q8—34no—
843C4⋊Q8—34no—
844C4⋊Q8—34no—
845C4⋊Q8—38no—
846C4⋊Q8—32no—
847C4⋊Q8—38no—
848C4⋊Q8—34no—
849C4⋊Q8—38no—
850C4⋊Q8C22×D314yes—
851#127—34no—
852#126—38no—
853#126—34no—
854#126—38no—
855#126—38no—
856#126—34no—
857#126—38no—
858#126—34no—
859#126—34no—
860#126—34no—
861#126—34no—
862#126—38no—
863#126—38no—
864#126C22×D318yes—
865#125—34no—
866#125—34no—
867#125—34no—
868#125—38no—
869#125—38no—
870#125—38no—
871#125—38no—
872#125—34no—
873#125—34no—
874#125—34no—
875#125—34no—
876#125—34no—
877#125—32no—
878#125—32no—
879#125—38no—
880#125—38no—
881#125—34no—
882#125—38no—
883#125C22×D314yes—
884#125C22×D318yes—
885#124—34no—
886#124—34no—
887#124—34no—
888#124—34no—
889#124—38no—
890#124—38no—
891#124—38no—
892#124—38no—
893#124—38no—
894#123—34no—
895#123—34no—
896#123—34no—
897#123—38no—
898#123—38no—
899#123—38no—
900#123—38no—
901#123—38no—
902#123—38no—
903#123—38no—
904#123—38no—
905#123—38no—
906#123—38no—
907#123—34no—
908#123—34no—
909#123—38no—
910#123—34no—
911#123—38no—
912#123—34no—
913#123—38no—
914#123—38no—
915#123—38no—
916#123—38no—
917#123C22×D318yes—
918#123C22×D314yes—
919#123C22×D318yes—
920C22⋊Q8—34no—
921C22⋊Q8—34no—
922C22⋊Q8—32no—
923C22⋊Q8—32no—
924C22⋊Q8—38no—
925C22⋊Q8—34no—
926C22⋊Q8—34no—
927C22⋊Q8—34no—
928C22⋊Q8—34no—
929C22⋊Q8—38no—
930C22⋊Q8—38no—
931C22⋊Q8—38no—
932C22⋊Q8—38no—
933C22⋊Q8—34no—
934C22⋊Q8—34no—
935C22⋊Q8—38no—
936C22⋊Q8—38no—
937C22⋊Q8—38no—
938C22⋊Q8—38no—
939C22⋊Q8—34no—
940C22⋊Q8—34no—
941C22⋊Q8—34no—
942C22⋊Q8—38no—
943C22⋊Q8—38no—
944C22⋊Q8—38no—
945C22⋊Q8—38no—
946C22⋊Q8—38no—
947C22⋊Q8—34no—
948C22⋊Q8—38no—
949C22⋊Q8—34no—
950C22⋊Q8—34no—
951C22⋊Q8—38no—
952C22⋊Q8—38no—
953C22⋊Q8—34no—
954C22⋊Q8—38no—
955C22⋊Q8—38no—
956C22⋊Q8—38no—
957C22⋊Q8C22×D314yes—
958C22⋊Q8C22×D312yes—
959C22⋊Q8C22×D314yes—
960C22⋊Q8C22×D312yes—
961C22⋊Q8C22×D314yes—
962C22⋊Q8C22×D318yes—
963#121—32no—
964#121—34no—
965#121—34no—
966#121—32no—
967#121—34no—
968#121—34no—
969#121—34no—
970#121—38no—
971#121—38no—
972#121—38no—
973#121—38no—
974#121—34no—
975#121—34no—
976#121—34no—
977#121—34no—
978#121—38no—
979#121—34no—
980#121—34no—
981#121—38no—
982#121—38no—
983#121C22×D314yes—
984#121C22×D312yes—
985#121C22×D314yes—
986#121C22×D312yes—
987#121C22×D314yes—
988#120—34no—
989#120—38no—
990#120C22×D314yes—
991C4×Q8—32no—
992C4×Q8—32no—
993C4×Q8—34no—
994C4×Q8—34no—
995C4×Q8—34no—
996C4×Q8—38no—
997C4×Q8—34no—
998C4×Q8—38no—
999C4×Q8C22×D314yes—
1000C4×D4—34no—
1001C4×D4—32no—
1002C4×D4—34no—
1003C4×D4—34no—
1004C4×D4—32no—
1005C4×D4—38no—
1006C4×D4—34no—
1007C4×D4—32no—
1008C4×D4—32no—
1009C4×D4—32no—
1010C4×D4—32no—
1011C4×D4—34no—
1012C4×D4—34no—
1013C4×D4—38no—
1014C4×D4—34no—
1015C4×D4—34no—
1016C4×D4—34no—
1017C4×D4—34no—
1018C4×D4—34no—
1019C4×D4—34no—
1020C4×D4—38no—
1021C4×D4—38no—
1022C4×D4—38no—
1023C4×D4—38no—
1024C4×D4—34no—
1025C4×D4—34no—
1026C4×D4—38no—
1027C4×D4C22×D314yes—
1028C4×D4C22×D318yes—
1029C4×D4C22×D314yes—
1030C4×D4C22×D314yes—
1031C4×D4C22×D318yes—
1032#117—32no—
1033#117—32no—
1034#117—34no—
1035#117—34no—
1036#117—32no—
1037#117—32no—
1038#117—34no—
1039#117—34no—
1040#117—32no—
1041#117—32no—
1042#117—34no—
1043#117—34no—
1044#117—34no—
1045#117—38no—
1046#117—34no—
1047#117—34no—
1048#117—34no—
1049#117—34no—
1050#117—38no—
1051#117C22×D312yes—
1052#117C22×D314yes—
1053#117C22×D314yes—
1054C2×C4⋊C4—31no—
1055C2×C4⋊C4—32no—
1056C2×C4⋊C4—32no—
1057C2×C4⋊C4—32no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—34no—
1060C2×C4⋊C4—34no—
1061C2×C4⋊C4—38no—
1062C2×C4⋊C4—32no—
1063C2×C4⋊C4—38no—
1064C2×C4⋊C4—34no—
1065C2×C4⋊C4—34no—
1066C2×C4⋊C4—32no—
1067C2×C4⋊C4—32no—
1068C2×C4⋊C4—34no—
1069C2×C4⋊C4—34no—
1070C2×C4⋊C4—38no—
1071C2×C4⋊C4—38no—
1072C2×C4⋊C4C22×D311yescharacteristic
1073C2×C4⋊C4C22×D311yescharacteristic
1074C2×C4⋊C4C22×D312yes—
1075C2×C4⋊C4C22×D314yes—
1076C2×C4⋊C4C22×D314yes—
1077C2×C4⋊C4C22×D314yes—
1078C2×C22⋊C4—34no—
1079C2×C22⋊C4—31no—
1080C2×C22⋊C4—32no—
1081C2×C22⋊C4—31no—
1082C2×C22⋊C4—32no—
1083C2×C22⋊C4—32no—
1084C2×C22⋊C4—34no—
1085C2×C22⋊C4—38no—
1086C2×C42—34no—
1087C2×C42—31no—
1088C2×C42—34no—
1089C2×C42—34no—
1090C23×C3—22no—
1091C23×C3—22no—
1092C23×C3—41no—
1093C23×C3C2511yescharacteristic
1094C23×C3C2514yes—
1095C23×C3C2511yescharacteristic
1096C23×C3C2511yescharacteristic
1097C22×D3—22no—
1098C22×D3—24no—
1099C22×D3—22no—
1100C22×D3—41no—
1101C22×D3—42no—
1102C22×D3—42no—
1103C22×D3C2514yes—
1104C22×D3C2511yescharacteristic
1105C22×D3C2511yescharacteristic
1106C3×Q8—24no—
1107C3×Q8—44no—
1108C3×D4—28no—
1109C3×D4—28no—
1110C3×D4—24no—
1111C3×D4—44no—
1112C3×D4—44no—
1113C2×C3×C4—28no—
1114C2×C3×C4—22no—
1115C2×C3×C4—24no—
1116C2×C3×C4—24no—
1117C2×C3×C4—28no—
1118C2×C3×C4—42no—
1119C2×C3×C4—48no—
1120C2×C3×C4—42no—
1121C2×C3×C4—44no—
1122C2×C3×C42−1+414yescomplemented
1123C2×C3×C4C2514yes—
1124C2×C3×C4C2512yes—
1125C2×C3×C4C2514yes—
1126C2×C3×C4C2514yes—
1127C2×C3×C4C2514yes—
1128C2×C3×C4C2514yes—
1129C2×C3×C4C2512yes—
1130#67—28no—
1131#67—22no—
1132#67—22no—
1133#67—28no—
1134#67—22no—
1135#67—44no—
1136#67—48no—
1137#67—44no—
1138#67—48no—
1139#67H(5,𝔽2)14yes—
1140C2×Dic3—28no—
1141C2×Dic3—22no—
1142C2×Dic3—22no—
1143C2×Dic3—28no—
1144C2×Dic3—42no—
1145C2×Dic3—48no—
1146C2×Dic3—41no—
1147C2×Dic3—44no—
1148C2×Dic3—44no—
1149C2×Dic3C2512yes—
1150C2×Dic3C2514yes—
1151C2×Dic3C2512yes—
1152C2×Dic3C2514yes—
1153C2×Dic3C2514yes—
1154C2×Dic3C2514yes—
1155C2×Dic3C2514yes—
1156C2×Dic3C2511yescharacteristic
1157C2×Dic3C2511yescharacteristic
1158D12—28no—
1159D12—28no—
1160D12—44no—
1161C4×D3—28no—
1162C4×D3—28no—
1163C4×D3—24no—
1164C4×D3—24no—
1165C4×D3—28no—
1166C4×D3—44no—
1167C4×D3—44no—
1168C4×D3—48no—
1169C4×D3—44no—
1170C4×D3—48no—
1171Dic6—28no—
1172Dic6—28no—
1173Dic6—48no—
1174Dic6—44no—
1175Dic6—44no—
1176Dic6—48no—
1177Dic6—44no—
1178Dic6—44no—
1179C24—31no—
1180C24—32no—
1181C24C23×D311yescharacteristic
1182#41—28no—
1183#41—48no—
1184#41—616no—
1185#41—616no—
1186#41—128no—
1187#41—128no—
1188#41—1216no—
1189#41—128no—
1190#41—128no—
1191#41—1216no—
1192#41—128no—
1193C2×Q8—34no—
1194C2×Q8—34no—
1195C2×Q8—34no—
1196C2×Q8—34no—
1197C2×Q8—34no—
1198C2×Q8—34no—
1199C2×Q8—38no—
1200C2×Q8—38no—
1201C2×Q8—128no—
1202C2×Q8—124no—
1203C2×Q8—1216no—
1204C2×Q8—128no—
1205C2×Q8—128no—
1206C2×Q8C23×D312yes—
1207C2×Q8C23×D314yes—
1208C2×D4—31no—
1209C2×D4—34no—
1210C2×D4—31no—
1211C2×D4—31no—
1212C2×D4—34no—
1213C2×D4—31no—
1214C2×D4—34no—
1215C2×D4—38no—
1216C2×D4—38no—
1217C2×D4—34no—
1218C2×D4—34no—
1219C2×D4—34no—
1220C2×D4—34no—
1221C2×D4—64no—
1222C2×D4—64no—
1223C2×D4—124no—
1224C2×D4—124no—
1225C2×D4C23×D314yes—
1226C2×D4C23×D312yes—
1227C2×D4C23×D314yes—
1228C2×D4C23×D314yes—
1229C2×D4C23×D314yes—
1230C22×C4—24no—
1231C22×C4—34no—
1232C22×C4—31no—
1233C22×C4—34no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—34no—
1237C22×C4—34no—
1238C22×C4—32no—
1239C22×C4—38no—
1240C22×C4—32no—
1241C22×C4—34no—
1242C22×C4—34no—
1243C22×C4—32no—
1244C22×C4—34no—
1245C22×C4—34no—
1246C22×C4—38no—
1247C22×C4—38no—
1248C22×C4—34no—
1249C22×C4—34no—
1250C22×C4—44no—
1251C22×C4—64no—
1252C22×C4—124no—
1253C22×C4—124no—
1254C22×C4C23×D312yes—
1255C22×C4C23×D314yes—
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D314yes—
1258C22×C4C23×D312yes—
1259C22×C4C23×D312yes—
1260C22×C4C23×D312yes—
1261C22×C4C23×D318yes—
1262C22×C4C23×D314yes—
1263C22×C4C23×D311yescharacteristic
1264C4⋊C4—34no—
1265C4⋊C4—32no—
1266C4⋊C4—38no—
1267C4⋊C4—32no—
1268C4⋊C4—32no—
1269C4⋊C4—34no—
1270C4⋊C4—34no—
1271C4⋊C4—34no—
1272C4⋊C4—38no—
1273C4⋊C4—38no—
1274C4⋊C4—38no—
1275C4⋊C4—38no—
1276C4⋊C4—34no—
1277C4⋊C4—34no—
1278C4⋊C4—34no—
1279C4⋊C4—38no—
1280C4⋊C4—32no—
1281C4⋊C4—32no—
1282C4⋊C4—34no—
1283C4⋊C4—34no—
1284C4⋊C4—34no—
1285C4⋊C4—34no—
1286C4⋊C4—38no—
1287C4⋊C4—38no—
1288C4⋊C4—32no—
1289C4⋊C4—38no—
1290C4⋊C4—38no—
1291C4⋊C4—38no—
1292C4⋊C4—34no—
1293C4⋊C4—34no—
1294C4⋊C4—34no—
1295C4⋊C4—34no—
1296C4⋊C4—34no—
1297C4⋊C4—34no—
1298C4⋊C4C23×D314yes—
1299C4⋊C4C23×D314yes—
1300C4⋊C4C23×D318yes—
1301C4⋊C4C23×D312yes—
1302C4⋊C4C23×D312yes—
1303C4⋊C4C23×D314yes—
1304C4⋊C4C23×D318yes—
1305C4⋊C4C23×D318yes—
1306C4⋊C4C23×D314yes—
1307C4⋊C4C23×D314yes—
1308C4⋊C4C23×D314yes—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—32no—
1312C22⋊C4—34no—
1313C22⋊C4—34no—
1314C22⋊C4—32no—
1315C22⋊C4—34no—
1316C22⋊C4—38no—
1317C22⋊C4—34no—
1318C22⋊C4—34no—
1319C22⋊C4—34no—
1320C22⋊C4—32no—
1321C22⋊C4—34no—
1322C22⋊C4—34no—
1323C22⋊C4—38no—
1324C22⋊C4—38no—
1325C22⋊C4—38no—
1326C22⋊C4—38no—
1327C22⋊C4—38no—
1328C22⋊C4—32no—
1329C22⋊C4—34no—
1330C22⋊C4—38no—
1331C22⋊C4—38no—
1332C22⋊C4—34no—
1333C22⋊C4C23×D314yes—
1334C22⋊C4C23×D314yes—
1335C22⋊C4C23×D314yes—
1336C22⋊C4C23×D318yes—
1337C22⋊C4C23×D318yes—
1338C22⋊C4C23×D314yes—
1339C22⋊C4C23×D314yes—
1340C42—34no—
1341C42—32no—
1342C42—34no—
1343C42—34no—
1344C42—32no—
1345C42—34no—
1346C42—34no—
1347C42—34no—
1348C42—34no—
1349C42—34no—
1350C42—38no—
1351C42C23×D314yes—
1352C42C23×D318yes—
1353C22×C3—21no—
1354C22×C3—21no—
1355C22×C3—21no—
1356C22×C3—21no—
1357C22×C3—24no—
1358C22×C3—21no—
1359C22×C3—21no—
1360C22×C3—24no—
1361C22×C3—24no—
1362C22×C3—21no—
1363C22×C3—44no—
1364C22×C3C2×H(5,𝔽2)12yes—
1365C22×C3C2×2−1+412yes—
1366C22×C3C2611yescharacteristic
1367C2×D3—21no—
1368C2×D3—21no—
1369C2×D3—24no—
1370C2×D3—21no—
1371C2×D3—21no—
1372C2×D3—24no—
1373C2×D3—24no—
1374C2×D3—21no—
1375C2×D3—44no—
1376C2×D3—84no—
1377C2×D3C2×H(5,𝔽2)12yes—
1378C3×C4—24no—
1379C3×C4—24no—
1380C3×C4—24no—
1381C3×C4—22no—
1382C3×C4—24no—
1383C3×C4—24no—
1384C3×C4C2×2−1+414yes—
1385Dic3—24no—
1386Dic3—24no—
1387Dic3—24no—
1388Dic3—21no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—24no—
1392Dic3—24no—
1393Dic3C2×H(5,𝔽2)12yes—
1394C23—22no—
1395C23—22no—
1396C23—31no—
1397C23—31no—
1398C23—34no—
1399C23—41no—
1400C23—62no—
1401C23—62no—
1402C23—64no—
1403C23—121no—
1404C23—122no—
1405C23—122no—
1406C23C24×D311yescharacteristic
1407C23C24×D314yes—
1408C23C24×D311yescharacteristic
1409C23C24×D311yescharacteristic
1410Q8—24no—
1411Q8—44no—
1412Q8—68no—
1413Q8—68no—
1414Q8—128no—
1415Q8—124no—
1416Q8—124no—
1417Q8—128no—
1418Q8—124no—
1419Q8—124no—
1420D4—28no—
1421D4—28no—
1422D4—24no—
1423D4—34no—
1424D4—44no—
1425D4—44no—
1426D4—68no—
1427D4—62no—
1428D4—62no—
1429D4—68no—
1430D4—62no—
1431D4—68no—
1432D4—68no—
1433D4—124no—
1434D4—124no—
1435D4—128no—
1436D4—128no—
1437D4—124no—
1438C2×C4—22no—
1439C2×C4—28no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—28no—
1443C2×C4—31no—
1444C2×C4—32no—
1445C2×C4—32no—
1446C2×C4—34no—
1447C2×C4—34no—
1448C2×C4—34no—
1449C2×C4—34no—
1450C2×C4—31no—
1451C2×C4—34no—
1452C2×C4—42no—
1453C2×C4—42no—
1454C2×C4—44no—
1455C2×C4—48no—
1456C2×C4—68no—
1457C2×C4—68no—
1458C2×C4—68no—
1459C2×C4—62no—
1460C2×C4—68no—
1461C2×C4—62no—
1462C2×C4—68no—
1463C2×C4—64no—
1464C2×C4—64no—
1465C2×C4—124no—
1466C2×C4—124no—
1467C2×C4—128no—
1468C2×C4—124no—
1469C2×C4—128no—
1470C2×C4—122no—
1471C2×C4—128no—
1472C2×C4—124no—
1473C2×C4—124no—
1474C2×C4—121no—
1475C2×C4#101014yescomplemented
1476C2×C4C24×D314yes—
1477C2×C4C24×D312yes—
1478C2×C4C24×D314yes—
1479C2×C4C24×D314yes—
1480C2×C4C24×D314yes—
1481C2×C4C24×D314yes—
1482C2×C4C24×D312yes—
1483C2×C3—22no—
1484C2×C3—22no—
1485C2×C3—44no—
1486C2×C3—41no—
1487C2×C3C22×H(5,𝔽2)11yescharacteristic
1488C2×C3C22×2−1+411yescharacteristic
1489C2×C32−1+611yescharacteristic
1490D3—22no—
1491D3—41no—
1492D3—44no—
1493C22—21no—
1494C22—21no—
1495C22—21no—
1496C22—21no—
1497C22—21no—
1498C22—24no—
1499C22—21no—
1500C22—24no—
1501C22—24no—
1502C22—21no—
1503C22—32no—
1504C22—44no—
1505C22—61no—
1506C22—61no—
1507C22—61no—
1508C22—64no—
1509C22—64no—
1510C22—61no—
1511C22—64no—
1512C22—61no—
1513C22—124no—
1514C22—244no—
1515C22C2×#101012yes—
1516C22D3×H(5,𝔽2)12yes—
1517C22C25×D311yescharacteristic
1518C4—22no—
1519C4—24no—
1520C4—24no—
1521C4—24no—
1522C4—24no—
1523C4—24no—
1524C4—32no—
1525C4—62no—
1526C4—64no—
1527C4—61no—
1528C4—64no—
1529C4—64no—
1530C4—64no—
1531C4—64no—
1532C4—62no—
1533C4C2×#101014yes—
1534C3#6291511yescharacteristic, complemented, Sylow
1535C2—22no—
1536C2—22no—
1537C2—41no—
1538C2—44no—
1539C2—62no—
1540C2—121no—
1541C2—124no—
1542C2C22×#101011yescharacteristic
1543C2C2×D3×H(5,𝔽2)11yescharacteristic
1544C2#8757111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3492C2
hypercenter#3492D3
hypocenterC3#62915
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. C3×#3492C2semidirect
2. #86953C2semidirect
3. #86940C2semidirect
4. #86919C2semidirect
5. #86896C2semidirect
6. #86847C2semidirect
7. #86836C2semidirect
8. #86696C2semidirect
9. #86679C2semidirect
10. #86599C2semidirect
11. D3×#544C2semidirect
12. #86461C2semidirect
13. #86435C2semidirect
14. #86381C2semidirect
15. #86364C2semidirect
16. #86042C2semidirect
17. #86030C2semidirect
18. #86027C2semidirect
19. #86021C2semidirect
20. #85903C2semidirect
21. #85889C2semidirect
22. C2×#5507C2semidirect
23. C2×#5500C2semidirect
25. C2×#1010C22semidirect
27. C3×#554C22semidirect
28. C3×#553C22semidirect
29. C3×#552C22semidirect
30. C3×#547C22semidirect
38. #5833C22semidirect
43. #5824C22semidirect
49. #5730C22semidirect
50. #5729C22semidirect
51. #5727C22semidirect
52. D3×C4⋊Q8C22semidirect
53. #5712C22semidirect
54. #5710C22semidirect
55. #5708C22semidirect
56. #5707C22semidirect
57. #5699C22semidirect
58. #5696C22semidirect
59. #5694C22semidirect
60. #5690C22semidirect
61. #5690C22semidirect
62. #5689C22semidirect
63. #5689C22semidirect
64. D3×#125C22semidirect
65. #5667C22semidirect
66. #5665C22semidirect
67. #5660C22semidirect
70. #5655C22semidirect
71. #5655C22semidirect
72. #5655C22semidirect
74. #5648C22semidirect
75. #5648C22semidirect
76. #5646C22semidirect
77. #5646C22semidirect
78. #5645C22semidirect
79. #5643C22semidirect
80. #5643C22semidirect
81. #5642C22semidirect
82. #5641C22semidirect
83. #5639C22semidirect
84. #5639C22semidirect
85. #5635C22semidirect
86. #5635C22semidirect
88. #5632C22semidirect
89. #5628C22semidirect
90. #5628C22semidirect
91. #5628C22semidirect
94. #5624C22semidirect
95. #5624C22semidirect
97. #5621C22semidirect
98. #5619C22semidirect
99. #5619C22semidirect
100. #5618C22semidirect
102. #5616C22semidirect
103. #5614C22semidirect
104. #5614C22semidirect
105. #5611C22semidirect
106. #5611C22semidirect
107. #5608C22semidirect
108. #5608C22semidirect
112. #5596C22semidirect
113. #5596C22semidirect
117. #5582C22semidirect
118. #5580C22semidirect
119. #5569C22semidirect
120. Q8×Dic6C22semidirect
121. #5565C22semidirect
122. #5565C22semidirect
123. #5564C22semidirect
124. #5563C22semidirect
125. #5562C22semidirect
126. #5561C22semidirect
127. #5557C22semidirect
129. #5555C22semidirect
130. #5552C22semidirect
131. #5551C22semidirect
133. #5548C22semidirect
135. #5539C22semidirect
136. #5538C22semidirect
137. #5538C22semidirect
139. D4×Dic6C22semidirect
140. C4×#237C22semidirect
141. #5532C22semidirect
142. #5531C22semidirect
143. #5530C22semidirect
144. #5526C22semidirect
145. #5523C22semidirect
149. #5519C22semidirect
151. #5517C22semidirect
152. #5514C22semidirect
158. #5507C22semidirect
167. #5500C22semidirect
168. #5500C22semidirect
169. #5500C22semidirect
170. C2×#890C22semidirect
172. C2×#888C22semidirect
173. C2×#888C22semidirect
190. #3492D3semidirect
503. #554C2×D3semidirect
511. #553C2×D3semidirect
519. #552C2×D3semidirect
542. #547C2×D3semidirect
1122. C2×C3×C42−1+4semidirect
1475. C2×C4#1010semidirect
1534. C3#62915semidirect

Maximal subgroups

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

subgroupindex
C3×#34922
#869532
#869402
#869192
#868962
#868472
#868362
#866962
#866792
#865992
D3×#5442
#864612
#864352
#863812
#863642
#860422
#860302
#860272
#860212
#859032
#858892
C2×#55072
C2×#55002
#629153