Finite Group Databasebeta

← #11703863

Subgroups — #11703863

Order 768.

7338 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3487C211yesmaximal, characteristic, complemented
2#87295C212yesmaximal, complemented
3#87273C211yesmaximal, characteristic, complemented
4C2×#5828C211yesmaximal, characteristic, complemented
5#86786C214yesmaximal, complemented
6#86785C214yesmaximal, complemented
7#86778C214yesmaximal, complemented
8#86775C214yesmaximal, complemented
9#86740C214yesmaximal, complemented
10#86738C214yesmaximal, complemented
11#86726C214yesmaximal, complemented
12#86721C214yesmaximal, complemented
13#86333C214yesmaximal, complemented
14#86332C212yesmaximal, complemented
15#86331C212yesmaximal, complemented
16#86321C214yesmaximal, complemented
17#86045C218yesmaximal, complemented
18D3×#525C212yesmaximal, complemented
19#86026C212yesmaximal, complemented
20#85882C212yesmaximal, complemented
21#62821—31nomaximal, Sylow
22C2×C3×2−1+4C2211yescharacteristic, complemented
23C22×C3×#41C2211yescharacteristic, complemented
24C2×D3×#41C2212yescomplemented
25C2×#1004C2211yescharacteristic, complemented
26C23×C4×D3C2211yescharacteristic, complemented
27C3×#550C2214yescomplemented
28C3×#550C2214yescomplemented
29C3×#548C2214yescomplemented
30C3×#548C2214yescomplemented
31C3×#535C2214yescomplemented
32C3×#535C2212yescomplemented
33C3×#525C2212yescomplemented
34C3×#525C2214yescomplemented
35C3×#519C2211yescharacteristic, complemented
36#5833C2212yescomplemented
37#5833C2214yescomplemented
38#5829C2218yescomplemented
39#5829C2214yescomplemented
40#5829C2214yescomplemented
41#5829C2214yescomplemented
42#5828C2214yescomplemented
43#5828C2214yescomplemented
44#5828C2212yescomplemented
45#5828C2214yescomplemented
46#5828C2214yescomplemented
47#5828C2214yescomplemented
48#5827C2212yescomplemented
49#5824C2218yescomplemented
50#5824C2214yescomplemented
51#5824C2214yescomplemented
52#5824C2214yescomplemented
53#5817C2214yescomplemented
54#5816C2212yescomplemented
55#5816C2214yescomplemented
56Q8×#67C2214yescomplemented
57C2×#946C2212yescomplemented
58C2×#946C2214yescomplemented
59#5804C2214yescomplemented
60C2×#938C2212yescomplemented
61C2×#937C2212yescomplemented
62#5798C2211yescharacteristic, complemented
63C2×#935C2212yescomplemented
64#5791C2212yescomplemented
65C2×#929C2214yescomplemented
66C2×C4×#67C2214yescomplemented
67C2×#926C2211yescharacteristic, complemented
68#5720C2214yescomplemented
69#5720C2214yescomplemented
70#5719C2214yescomplemented
71#5719C2218yescomplemented
72#5718C2214yescomplemented
73#5717C2214yescomplemented
74#5717C2214yescomplemented
75#5716C2214yescomplemented
76#5715C2218yescomplemented
77#5713C2214yescomplemented
78#5683C2214yescomplemented
79#5682C2214yescomplemented
80#5680C2214yescomplemented
81#5679C2214yescomplemented
82#5679C2214yescomplemented
83#5678C2218yescomplemented
84#5677C2214yescomplemented
85#5676C2214yescomplemented
86#5672C2214yescomplemented
87#5669C2218yescomplemented
88#5656C2214yescomplemented
89D3×#123C2214yescomplemented
90#5649C2218yescomplemented
91#5641C2214yescomplemented
92#5640C2218yescomplemented
93#5639C2214yescomplemented
94#5638C2218yescomplemented
95#5637C2218yescomplemented
96#5636C2218yescomplemented
97#5627C2212yescomplemented
98#5627C2212yescomplemented
99D3×C22⋊Q8C2212yescomplemented
100D3×C22⋊Q8C2212yescomplemented
101#5621C2218yescomplemented
102#5620C2218yescomplemented
103#5618C2214yescomplemented
104#5616C2214yescomplemented
105#5616C2214yescomplemented
106#5615C2218yescomplemented
107#5614C2214yescomplemented
108#5614C2214yescomplemented
109#5613C2218yescomplemented
110#5613C2218yescomplemented
111#5613C2218yescomplemented
112#5611C2214yescomplemented
113#5610C2218yescomplemented
114#5610C2218yescomplemented
115#5608C2214yescomplemented
116#5607C2214yescomplemented
117#5606C2212yescomplemented
118#5606C2212yescomplemented
119#5606C2214yescomplemented
120#5605C2218yescomplemented
121D3×#121C2212yescomplemented
122D3×#121C2212yescomplemented
123D3×#121C2214yescomplemented
124#5602C2218yescomplemented
125#5601C2218yescomplemented
126#5601C2218yescomplemented
127#5593C2218yescomplemented
128#5591C2218yescomplemented
129#5591C2218yescomplemented
130#5590C2218yescomplemented
131D3×#120C2214yescomplemented
132#5587C2218yescomplemented
133#5586C2214yescomplemented
134#5584C2214yescomplemented
135#5583C2214yescomplemented
136#5582C2214yescomplemented
137#5581C2214yescomplemented
138#5581C2214yescomplemented
139#5580C2214yescomplemented
140#5579C2214yescomplemented
141#5578C2214yescomplemented
142#5565C2214yescomplemented
143#5564C2218yescomplemented
144#5563C2214yescomplemented
145#5560C2218yescomplemented
146#5559C2218yescomplemented
147#5558C2218yescomplemented
148#5556C2218yescomplemented
149#5547C2214yescomplemented
150#5547C2214yescomplemented
151#5546C2218yescomplemented
152#5545C2218yescomplemented
153C4×D3×D4C2214yescomplemented
154C4×D3×D4C2214yescomplemented
155#5542C2214yescomplemented
156#5541C2214yescomplemented
157#5540C2218yescomplemented
158#5531C2218yescomplemented
159#5527C2218yescomplemented
160#5524C2212yes—
161#5523C2212yescomplemented
162D3×#117C2212yescomplemented
163#5519C2212yescomplemented
164#3542—34no—
165#3541—34no—
166#3540—34no—
167#3539—34no—
168#3533—34no—
169#3532—34no—
170#3520—34no—
171#3519—34no—
172#3513—38no—
173#3506—34no—
174#3505—34no—
175#3495—32no—
176#3494—32no—
177#3493—32no—
178#3489—32no—
179#3488—32no—
180#3487D311yescharacteristic, complemented
181#3485—31no—
182C2×#525—31no—
183C2×#525—32no—
184C24×D3C2311yescharacteristic
185C3×2−1+4—44no—
186C2×C3×#41—44no—
187C2×C3×#41C2312yes—
188C2×C3×#41C2314yes—
189C2×C3×#41C2314yes—
190C2×C3×#41C2314yes—
191C2×C3×#41C2314yescomplemented
192C22×C3×Q8C2311yescharacteristic
193C22×C3×Q8C2314yescomplemented
194C22×C3×D4C2311yescharacteristic
195C22×C3×D4C2312yes—
196C23×C3×C4C2311yescharacteristic
197C23×C3×C4C2312yes—
198C22×#67C2314yes—
199C22×#67C2314yes—
200C23×Dic3C2311yescharacteristic
201D3×#41—48no—
202C2×#239C2312yes—
203C2×D3×Q8C2312yes—
204#1004—44no—
205C2×#237C2314yes—
206C2×#237C2312yes—
207C2×#237C2318yes—
208C2×#237C2314yescomplemented
209C2×D3×D4C2314yes—
210C2×D3×D4C2312yes—
211C2×D3×D4C2314yes—
212C2×D3×D4C2314yes—
213C2×D3×D4C2318yes—
214C2×D3×D4C2314yescomplemented
215C2×#235C2312yes—
216C2×#235C2314yes—
217C22×C4×D3—44no—
218C22×C4×D3C2312yes—
219C22×C4×D3C2312yes—
220C22×C4×D3C2312yes—
221C22×C4×D3C2312yes—
222C22×C4×D3C2312yes—
223C22×C4×D3C2312yes—
224C22×C4×D3C2314yes—
225C3×#127C2314yes—
226C3×#127C2314yes—
227C3×#127C2314yescomplemented
228C3×#124C2314yes—
229C3×#124C2314yes—
230C3×#124C2314yescomplemented
231C3×#123C2314yes—
232C3×C22⋊Q8C2312yes—
233C3×C22⋊Q8C2312yes—
234C3×C22⋊Q8C2318yescomplemented
235C3×#121C2312yes—
236C3×#121C2312yes—
237C3×#121C2318yes—
238C3×#121C2318yes—
239C3×#121C2318yescomplemented
240C3×#121C2314yescomplemented
241C3×#121C2314yescomplemented
242C3×#120C2314yes—
243C3×#120C2318yes—
244C3×C4×Q8C2314yescomplemented
245C3×C4×Q8C2314yescomplemented
246C3×C4×D4C2314yes—
247C3×C4×D4C2314yes—
248C3×C4×D4C2318yescomplemented
249C3×C4×D4C2318yescomplemented
250C3×#117C2312yes—
251C3×#117C2314yes—
252#953C2314yes—
253C2×#217C2312yes—
254C2×#217C2314yes—
255C2×#217C2314yes—
256#947C2318yes—
257#947C2314yescomplemented
258#946C2318yes—
259#946C2312yes—
260#946C2312yes—
261#946C2314yes—
262#946C2314yes—
263#946C2314yes—
264#946C2314yes—
265#946C2318yescomplemented
266#946C2314yescomplemented
267#946C2314yescomplemented
268#946C2314yescomplemented
269Q8×Dic3C2314yescomplemented
270#944C2318yescomplemented
271#944C2314yescomplemented
272#940C2318yes—
273#939C2318yes—
274#939C2318yes—
275#939C2318yes—
276#939C2318yes—
277#939C2318yes—
278#939C2318yes—
279#939C2318yes—
280#939C2314yes—
281#939C2318yes—
282#939C2314yes—
283#939C2318yescomplemented
284#939C2318yescomplemented
285#938C2314yes—
286#938C2314yes—
287#938C2314yes—
288#938C2314yes—
289#938C2312yes—
290#938C2318yes—
291#938C2318yes—
292#938C2312yes—
293#938C2314yescomplemented
294#938C2318yescomplemented
295#937C2314yes—
296#937C2318yes—
297#937C2314yes—
298#937C2314yes—
299#937C2314yes—
300#937C2314yes—
301#937C2314yes—
302#937C2318yes—
303#937C2318yes—
304#937C2314yes—
305#937C2318yescomplemented
306#936C2318yes—
307#936C2318yescomplemented
308#935C2314yes—
309#935C2318yes—
310#935C2314yes—
311#935C2314yes—
312#935C2314yes—
313#935C2314yes—
314#935C2318yes—
315#935C2318yescomplemented
316#935C2318yescomplemented
317#935C2318yescomplemented
318D4×Dic3C2318yes—
319D4×Dic3C2314yes—
320D4×Dic3C2314yes—
321D4×Dic3C2314yescomplemented
322D4×Dic3C2314yescomplemented
323D4×Dic3C2318yescomplemented
324D4×Dic3C2318yescomplemented
325D4×Dic3C2314yescomplemented
326#930C2312yes—
327#930C2312yes—
328#930C2318yes—
329#930C2314yescomplemented
330#929C2314yes—
331#929C2318yes—
332#929C2318yes—
333#929C2318yescomplemented
334#929C2318yescomplemented
335#929C2318yescomplemented
336C4×#67C2318yes—
337C4×#67C2318yes—
338C4×#67C2318yes—
339C4×#67C2314yes—
340C4×#67C2318yes—
341C4×#67C2314yes—
342C4×#67C2314yes—
343C4×#67C2314yes—
344C4×#67C2318yes—
345C4×#67C2318yescomplemented
346C2×(C2×D3)⋊C4C2314yes—
347C2×(C2×D3)⋊C4C2318yes—
348C2×(C2×D3)⋊C4C2318yescomplemented
349#926C2314yes—
350#926C2314yes—
351#926C2312yes—
352#926C2314yescomplemented
353C2×C4⋊Dic3C2312yes—
354C2×C4⋊Dic3C2314yescomplemented
355#924C2312yes—
356#924C2312yes—
357#924C2314yescomplemented
358#924C2318yescomplemented
359C2×Dic3⋊C4C2314yes—
360C2×Dic3⋊C4C2318yescomplemented
361C2×Dic3⋊C4C2318yescomplemented
362C2×C4×Dic3C2312yes—
363#898C2318yes—
364#898C2318yescomplemented
365#898C2318yescomplemented
366#897C2312yes—
367#897C2312yes—
368#896C2314yes—
369#896C2318yes—
370#896C2314yes—
371#896C2318yescomplemented
372#895C2312yes—
373#895C2312yes—
374#894C2314yes—
375#894C2318yes—
376#894C2318yes—
377#894C2314yes—
378#893C2314yes—
379#893C2314yes—
380#892C2312yes—
381#892C2312yes—
382#892C2318yescomplemented
383#892C2314yescomplemented
384D3×C4⋊C4C2314yes—
385D3×C4⋊C4C2314yes—
386D3×C4⋊C4C2312yes—
387D3×C4⋊C4C2312yes—
388D3×C4⋊C4C2314yescomplemented
389#890C2314yescomplemented
390#889C2318yescomplemented
391#889C2318yescomplemented
392#889C2318yescomplemented
393#888C2314yescomplemented
394#887C2318yescomplemented
395#886C2318yes—
396#886C2314yes—
397#885C2318yes—
398#885C2318yes—
399#885C2318yescomplemented
400#885C2318yescomplemented
401#884C2318yes—
402#884C2318yes—
403#884C2314yes—
404#884C2314yes—
405#883C2318yes—
406#883C2318yes—
407#883C2314yes—
408#883C2314yes—
409#883C2318yescomplemented
410#882C2318yes—
411#882C2314yes—
412#882C2314yes—
413#882C2314yes—
414#67⋊C4C2318yes—
415#67⋊C4C2318yes—
416#67⋊C4C2318yes—
417#67⋊C4C2314yes—
418#67⋊C4C2314yes—
419#67⋊C4C2314yes—
420#67⋊C4C2314yes—
421#67⋊C4C2318yescomplemented
422D3×C22⋊C4C2314yes—
423D3×C22⋊C4C2314yes—
424D3×C22⋊C4C2314yes—
425D3×C22⋊C4C2314yes—
426D3×C22⋊C4C2314yes—
427D3×C22⋊C4C2318yescomplemented
428#879C2318yes—
429#879C2318yes—
430#879C2318yescomplemented
431#879C2318yescomplemented
432#879C2318yescomplemented
433#878C2318yes—
434#878C2314yes—
435#878C2314yes—
436#878C2318yescomplemented
437#878C2318yescomplemented
438#877C2314yes—
439#877C2318yescomplemented
440#877C2318yescomplemented
441#876C2318yes—
442#876C2318yescomplemented
443#875C2318yes—
444C4×D12C2314yes—
445C4×D12C2314yes—
446C4×D12C2318yes—
447C4×D12C2314yescomplemented
448#872C2318yes—
449#872C2314yes—
450#872C2318yescomplemented
451C42×D3C2314yes—
452#870C2318yescomplemented
453#870C2314yescomplemented
454#869C2314yescomplemented
455C4×Dic6C2318yescomplemented
456C4×Dic6C2314yescomplemented
457C2×2−1+4C2×D311yescharacteristic, complemented
458C2×H(5,𝔽2)—31no—
459C22×#41—32no—
460C22×#41C2×D311yescharacteristic, complemented
461C24×C4—31no—
462#563—34no—
463#562—38no—
464H(3,𝔽4)—34no—
465#560—34no—
466#560—34no—
467#560—38no—
468#559—34no—
469#559—38no—
470#556—34no—
471#556—34no—
472#556—34no—
473#555—34no—
474#555—34no—
475#555—34no—
476#554—38no—
477#554—34no—
478#553—34no—
479#553—38no—
480#553—34no—
481#553—34no—
482#553—38no—
483#553—34no—
484#553—38no—
485#553—38no—
486#552—34no—
487#552—34no—
488#552—34no—
489#552—34no—
490#552—38no—
491#551—34no—
492#551—34no—
493#551—38no—
494#551—38no—
495#551—38no—
496#551—38no—
497#550—34no—
498#550C2×D314yescomplemented
499#550C2×D314yescomplemented
500D4×Q8—34no—
501#548—34no—
502#548—34no—
503#548C2×D314yescomplemented
504#548C2×D314yescomplemented
505#547—34no—
506#547—34no—
507#547—38no—
508#547—34no—
509#547—34no—
510#546—34no—
511#546—34no—
512#546—38no—
513#546—34no—
514#546—34no—
515#546—38no—
516#546—38no—
517#546—38no—
518#546—38no—
519D42—34no—
520D42—34no—
521D42—38no—
522#544—32no—
523#542—38no—
524#542—34no—
525#542—38no—
526#542—34no—
527#541—34no—
528#540—38no—
529#540—34no—
530#540—38no—
531#539—38no—
532#539—38no—
533#539—38no—
534#538—38no—
535#538—38no—
536#538—38no—
537#538—38no—
538#538—38no—
539#538—38no—
540#537—32no—
541#537—34no—
542#537—34no—
543#536—32no—
544#536—34no—
545#535—38no—
546#535—34no—
547#535C2×D314yescomplemented
548#535C2×D312yescomplemented
549#534—34no—
550#534—38no—
551#533—34no—
552#532—34no—
553#529—34no—
554#529—38no—
555#529—34no—
556#525—32no—
557#525—34no—
558#525—34no—
559#525—34no—
560#525—34no—
561#525—34no—
562#525—32no—
563#525—34no—
564#525—32no—
565#525—32no—
566#525—32no—
567#525—32no—
568#525—34no—
569#525—34no—
570#525—34no—
571#525—34no—
572#525—32no—
573#525C2×D312yescomplemented
574#525C2×D314yescomplemented
575C2×#123—32no—
576C2×#123—34no—
577C2×#123—34no—
578C2×C22⋊Q8—32no—
579C2×C22⋊Q8—34no—
580C2×C22⋊Q8—32no—
581C2×C22⋊Q8—32no—
582C2×#121—32no—
583C2×#121—32no—
584C2×#121—32no—
585C2×#121—34no—
586C2×#120—32no—
587C2×#120—34no—
588#520—32no—
589#520—38no—
590#520—32no—
591#519C2×D311yescharacteristic, complemented
592#518—31no—
593#518—38no—
594C2×C4×D4—34no—
595C2×C4×D4—34no—
596C2×C4×D4—34no—
597C2×#117—31no—
598C2×#117—32no—
599C24×C3C2412yes—
600C24×C3C2411yescharacteristic
601C23×D3—44no—
602C23×D3—42no—
603C23×D3C2411yescharacteristic
604C23×D3C2412yes—
605C23×D3C2412yes—
606C23×D3C2414yes—
607C23×D3C2414yes—
608C23×D3C2411yescharacteristic
609C3×#41—28no—
610C3×#41—48no—
611C3×#41—48no—
612C3×#41—48no—
613C3×#41—48no—
614C2×C3×Q8—24no—
615C2×C3×Q8—48no—
616C2×C3×Q8C2414yes—
617C2×C3×Q8C2412yes—
618C2×C3×Q8C2414yes—
619C2×C3×D4—24no—
620C2×C3×D4—44no—
621C2×C3×D4C2414yes—
622C2×C3×D4C2414yes—
623C2×C3×D4C2412yes—
624C2×C3×D4C2414yes—
625C2×C3×D4C2414yes—
626C2×C3×D4C2418yes—
627C2×C3×D4C2418yes—
628C2×C3×D4C2414yes—
629C2×C3×D4C2414yes—
630C2×C3×D4C2414yes—
631C22×C3×C4—24no—
632C22×C3×C4—44no—
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2412yes—
635C22×C3×C4C2412yes—
636C22×C3×C4C2412yes—
637C22×C3×C4C2414yes—
638C22×C3×C4C2418yes—
639C22×C3×C4C2418yes—
640C22×C3×C4C2411yescharacteristic
641C2×#67—48no—
642C2×#67—48no—
643C2×#67C2414yes—
644C2×#67C2418yes—
645C2×#67C2414yes—
646C2×#67C2414yes—
647C2×#67C2414yes—
648C2×#67C2414yes—
649C2×#67C2418yes—
650C2×#67C2418yes—
651C2×#67C2414yes—
652C2×#67C2418yes—
653C2×#67C2414yes—
654C22×Dic3—42no—
655C22×Dic3C2412yes—
656C22×Dic3C2418yes—
657C22×Dic3C2418yes—
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2414yes—
660C22×Dic3C2412yes—
661C22×Dic3C2414yes—
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2414yes—
664#239—44no—
665D3×Q8—44no—
666#237—44no—
667#237—48no—
668#237—416no—
669#237—48no—
670D3×D4—44no—
671D3×D4—48no—
672D3×D4—48no—
673D3×D4—48no—
674D3×D4—416no—
675D3×D4—48no—
676#235—28no—
677#235—48no—
678C2×D12C2414yes—
679C2×D12C2412yes—
680C2×D12C2414yes—
681C2×D12C2414yes—
682C2×C4×D3—28no—
683C2×C4×D3—44no—
684C2×C4×D3—44no—
685C2×C4×D3—44no—
686C2×C4×D3—44no—
687C2×C4×D3—48no—
688C2×C4×D3—44no—
689C2×C4×D3C2412yes—
690C2×C4×D3C2414yes—
691C2×C4×D3C2412yes—
692C2×C4×D3C2412yes—
693C2×C4×D3C2414yes—
694C2×C4×D3C2412yes—
695C2×C4×D3C2414yes—
696C2×C4×D3C2418yes—
697C2×C4×D3C2414yes—
698C2×C4×D3C2412yes—
699C2×C4×D3C2412yes—
700C2×C4×D3C2414yes—
701C2×C4×D3C2412yes—
702C2×C4×D3C2412yes—
703C2×Dic6C2412yes—
704C2×Dic6C2418yes—
705C2×Dic6C2414yes—
706C3×C4⋊C4C2414yes—
707C3×C4⋊C4C2412yes—
708C3×C4⋊C4C2414yes—
709C3×C4⋊C4C2418yes—
710C3×C4⋊C4C2412yes—
711C3×C22⋊C4C2414yes—
712C3×C22⋊C4C2414yes—
713C3×C22⋊C4C2418yes—
714C3×C22⋊C4C2414yes—
715C3×C22⋊C4C2414yes—
716C3×C22⋊C4C2418yes—
717C3×C22⋊C4C2414yes—
718C3×C42C2414yes—
719C3×C42C2414yes—
720C3×C42C2414yes—
721#217C2414yes—
722#217C2418yes—
723#217C2418yes—
724#217C2414yes—
725#217C2414yes—
726#217C2418yes—
727#217C2414yes—
728#217C2414yes—
729#217C2414yes—
730#217C2414yes—
731#217C2418yes—
732#217C2414yes—
733#217C2414yes—
734(C2×D3)⋊C4C2414yes—
735(C2×D3)⋊C4C2418yes—
736(C2×D3)⋊C4C2414yes—
737(C2×D3)⋊C4C2414yes—
738(C2×D3)⋊C4C2414yes—
739(C2×D3)⋊C4C2418yes—
740(C2×D3)⋊C4C2418yes—
741(C2×D3)⋊C4C2414yes—
742(C2×D3)⋊C4C2414yes—
743(C2×D3)⋊C4C2418yes—
744(C2×D3)⋊C4C2418yes—
745(C2×D3)⋊C4C2414yes—
746(C2×D3)⋊C4C2414yes—
747(C2×D3)⋊C4C2414yes—
748(C2×D3)⋊C4C2414yes—
749(C2×D3)⋊C4C2418yes—
750C4⋊Dic3C2414yes—
751C4⋊Dic3C2414yes—
752C4⋊Dic3C2412yes—
753C4⋊Dic3C2418yes—
754C4⋊Dic3C2414yes—
755C4⋊Dic3C2414yes—
756C4⋊Dic3C2412yes—
757C4⋊Dic3C2418yes—
758Dic3⋊C4C2418yes—
759Dic3⋊C4C2418yes—
760Dic3⋊C4C2418yes—
761Dic3⋊C4C2414yes—
762Dic3⋊C4C2418yes—
763Dic3⋊C4C2418yes—
764Dic3⋊C4C2418yes—
765Dic3⋊C4C2418yes—
766Dic3⋊C4C2414yes—
767Dic3⋊C4C2414yes—
768Dic3⋊C4C2414yes—
769Dic3⋊C4C2414yes—
770Dic3⋊C4C2418yes—
771Dic3⋊C4C2414yes—
772C4×Dic3C2414yes—
773C4×Dic3C2418yes—
774C4×Dic3C2414yes—
775C4×Dic3C2414yes—
776C4×Dic3C2418yes—
777C4×Dic3C2418yes—
778C25—31no—
7792−1+4—44no—
780H(5,𝔽2)—124no—
781C2×#41—32no—
782C2×#41—38no—
783C2×#41—34no—
784C2×#41—32no—
785C2×#41—34no—
786C2×#41—32no—
787C2×#41—34no—
788C2×#41—44no—
789C2×#41—128no—
790C2×#41C22×D312yes—
791C2×#41C22×D314yes—
792C2×#41C22×D314yes—
793C2×#41C22×D314yes—
794C2×#41C22×D314yescomplemented
795C22×Q8—32no—
796C22×Q8C22×D311yescharacteristic
797C22×Q8C22×D314yescomplemented
798C22×D4—34no—
799C22×D4—34no—
800C22×D4—34no—
801C22×D4—34no—
802C22×D4—38no—
803C22×D4—34no—
804C22×D4—32no—
805C22×D4—34no—
806C22×D4C22×D311yescharacteristic
807C22×D4C22×D312yes—
808C23×C4—31no—
809C23×C4—32no—
810C23×C4—32no—
811C23×C4—34no—
812C23×C4—32no—
813C23×C4—32no—
814C23×C4—32no—
815C23×C4—32no—
816C23×C4—124no—
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D312yes—
819C4⋊Q8—34no—
820C4⋊Q8—38no—
821C4⋊Q8—34no—
822C4⋊Q8—34no—
823#127—38no—
824#127C22×D314yes—
825#127C22×D314yes—
826#127C22×D314yescomplemented
827#126—38no—
828#126—38no—
829#126—38no—
830#126—38no—
831#126—38no—
832#126—38no—
833#126—38no—
834#126—38no—
835#126—38no—
836#126—38no—
837#125—38no—
838#125—34no—
839#125—38no—
840#125—38no—
841#125—34no—
842#125—38no—
843#124—34no—
844#124—38no—
845#124—38no—
846#124—38no—
847#124—38no—
848#124—38no—
849#124—38no—
850#124—38no—
851#124—38no—
852#124C22×D314yes—
853#124C22×D314yes—
854#124C22×D314yescomplemented
855#123—38no—
856#123—34no—
857#123—34no—
858#123—34no—
859#123—38no—
860#123—34no—
861#123—34no—
862#123—38no—
863#123—38no—
864#123—38no—
865#123—34no—
866#123—38no—
867#123—38no—
868#123—38no—
869#123—38no—
870#123—38no—
871#123—34no—
872#123—34no—
873#123—38no—
874#123—38no—
875#123—34no—
876#123—34no—
877#123—34no—
878#123—38no—
879#123—38no—
880#123—38no—
881#123—38no—
882#123C22×D314yes—
883C22⋊Q8—32no—
884C22⋊Q8—34no—
885C22⋊Q8—32no—
886C22⋊Q8—34no—
887C22⋊Q8—34no—
888C22⋊Q8—34no—
889C22⋊Q8—34no—
890C22⋊Q8—34no—
891C22⋊Q8—38no—
892C22⋊Q8—38no—
893C22⋊Q8—34no—
894C22⋊Q8—32no—
895C22⋊Q8—32no—
896C22⋊Q8—34no—
897C22⋊Q8—38no—
898C22⋊Q8—32no—
899C22⋊Q8—32no—
900C22⋊Q8—34no—
901C22⋊Q8—34no—
902C22⋊Q8—38no—
903C22⋊Q8—38no—
904C22⋊Q8—34no—
905C22⋊Q8—34no—
906C22⋊Q8—38no—
907C22⋊Q8—38no—
908C22⋊Q8—38no—
909C22⋊Q8C22×D312yes—
910C22⋊Q8C22×D312yes—
911C22⋊Q8C22×D318yescomplemented
912#121—34no—
913#121—32no—
914#121—34no—
915#121—32no—
916#121—34no—
917#121—34no—
918#121—34no—
919#121—34no—
920#121—38no—
921#121—34no—
922#121—38no—
923#121—38no—
924#121—38no—
925#121—38no—
926#121—38no—
927#121—38no—
928#121—38no—
929#121—38no—
930#121—38no—
931#121—38no—
932#121—38no—
933#121—38no—
934#121—32no—
935#121—32no—
936#121—34no—
937#121—38no—
938#121—32no—
939#121—32no—
940#121—34no—
941#121—34no—
942#121—38no—
943#121—38no—
944#121C22×D312yes—
945#121C22×D312yes—
946#121C22×D318yes—
947#121C22×D318yes—
948#121C22×D314yescomplemented
949#121C22×D314yescomplemented
950#121C22×D318yescomplemented
951#120—34no—
952#120—38no—
953#120—34no—
954#120—34no—
955#120—34no—
956#120—34no—
957#120—34no—
958#120—38no—
959#120—38no—
960#120—34no—
961#120—34no—
962#120—38no—
963#120—34no—
964#120—34no—
965#120—34no—
966#120—38no—
967#120C22×D314yes—
968#120C22×D318yes—
969C4×Q8—34no—
970C4×Q8—38no—
971C4×Q8—34no—
972C4×Q8—38no—
973C4×Q8C22×D314yescomplemented
974C4×Q8C22×D314yescomplemented
975C4×D4—34no—
976C4×D4—34no—
977C4×D4—34no—
978C4×D4—38no—
979C4×D4—34no—
980C4×D4—38no—
981C4×D4—38no—
982C4×D4—34no—
983C4×D4—38no—
984C4×D4—38no—
985C4×D4—34no—
986C4×D4—34no—
987C4×D4—34no—
988C4×D4—38no—
989C4×D4—34no—
990C4×D4—38no—
991C4×D4—38no—
992C4×D4—38no—
993C4×D4—34no—
994C4×D4—34no—
995C4×D4—34no—
996C4×D4—34no—
997C4×D4—34no—
998C4×D4—34no—
999C4×D4—38no—
1000C4×D4—38no—
1001C4×D4—38no—
1002C4×D4—38no—
1003C4×D4—34no—
1004C4×D4—34no—
1005C4×D4—38no—
1006C4×D4—34no—
1007C4×D4C22×D314yes—
1008C4×D4C22×D314yes—
1009C4×D4C22×D318yescomplemented
1010C4×D4C22×D318yescomplemented
1011#117—32no—
1012#117—34no—
1013#117—34no—
1014#117—34no—
1015#117—32no—
1016#117—32no—
1017#117—38no—
1018#117—34no—
1019#117—34no—
1020#117—38no—
1021#117—38no—
1022#117—34no—
1023#117—38no—
1024#117—38no—
1025#117C22×D312yes—
1026#117C22×D314yes—
1027C2×C4⋊C4—32no—
1028C2×C4⋊C4—34no—
1029C2×C4⋊C4—34no—
1030C2×C4⋊C4—38no—
1031C2×C4⋊C4—38no—
1032C2×C4⋊C4—32no—
1033C2×C4⋊C4—32no—
1034C2×C4⋊C4—34no—
1035C2×C4⋊C4—34no—
1036C2×C4⋊C4—34no—
1037C2×C22⋊C4—32no—
1038C2×C22⋊C4—34no—
1039C2×C22⋊C4—34no—
1040C2×C22⋊C4—34no—
1041C2×C22⋊C4—38no—
1042C2×C22⋊C4—38no—
1043C2×C22⋊C4—34no—
1044C2×C22⋊C4—34no—
1045C2×C22⋊C4—34no—
1046C2×C22⋊C4—34no—
1047C2×C22⋊C4—34no—
1048C2×C22⋊C4—38no—
1049C2×C42—32no—
1050C2×C42—34no—
1051C23×C3—22no—
1052C23×C3—24no—
1053C23×C3—42no—
1054C23×C3—44no—
1055C23×C3C2511yescharacteristic
1056C23×C3C2511yescharacteristic
1057C23×C3C2514yes—
1058C23×C3C2514yes—
1059C23×C3C2511yescharacteristic
1060C22×D3—24no—
1061C22×D3—24no—
1062C22×D3—24no—
1063C22×D3—24no—
1064C22×D3—28no—
1065C22×D3—41no—
1066C22×D3—42no—
1067C22×D3—41no—
1068C22×D3—42no—
1069C22×D3—42no—
1070C22×D3—42no—
1071C22×D3—44no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—48no—
1075C22×D3—416no—
1076C22×D3C2512yes—
1077C22×D3C2514yes—
1078C22×D3C2512yes—
1079C3×Q8—24no—
1080C3×Q8—28no—
1081C3×Q8—44no—
1082C3×D4—28no—
1083C3×D4—28no—
1084C3×D4—24no—
1085C3×D4—44no—
1086C3×D4—44no—
1087C3×D4—48no—
1088C3×D4—48no—
1089C3×D4—44no—
1090C3×D4—44no—
1091C3×D4—44no—
1092C2×C3×C4—22no—
1093C2×C3×C4—24no—
1094C2×C3×C4—24no—
1095C2×C3×C4—24no—
1096C2×C3×C4—28no—
1097C2×C3×C4—48no—
1098C2×C3×C4—48no—
1099C2×C3×C4H(5,𝔽2)14yes—
1100C2×C3×C4C2512yes—
1101C2×C3×C4C2514yes—
1102C2×C3×C4C2514yes—
1103C2×C3×C4C2514yes—
1104C2×C3×C4C2514yes—
1105C2×C3×C4C2512yes—
1106#67—28no—
1107#67—28no—
1108#67—216no—
1109#67—44no—
1110#67—44no—
1111#67—48no—
1112#67—44no—
1113#67—48no—
1114#67—44no—
1115#67—44no—
1116#67—48no—
1117C2×Dic3—24no—
1118C2×Dic3—41no—
1119C2×Dic3—42no—
1120C2×Dic3—41no—
1121C2×Dic3—44no—
1122C2×Dic3—44no—
1123C2×Dic3—48no—
1124C2×Dic3—48no—
1125C2×Dic3—44no—
1126C2×Dic3C2518yes—
1127C2×Dic3C2512yes—
1128C2×Dic3C2514yes—
1129C2×Dic3C2514yes—
1130C2×Dic3C2514yes—
1131C2×Dic3C2512yes—
1132D12—28no—
1133D12—24no—
1134D12—44no—
1135D12—44no—
1136C4×D3—28no—
1137C4×D3—24no—
1138C4×D3—24no—
1139C4×D3—24no—
1140C4×D3—24no—
1141C4×D3—28no—
1142C4×D3—42no—
1143C4×D3—42no—
1144C4×D3—42no—
1145C4×D3—42no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—48no—
1150Dic6—24no—
1151Dic6—44no—
1152Dic6—48no—
1153C24—31no—
1154C24—32no—
1155C24—34no—
1156C24—32no—
1157C24—34no—
1158C24—31no—
1159C24—122no—
1160C24—124no—
1161C24C23×D312yes—
1162C24C23×D311yescharacteristic
1163#41—28no—
1164#41—48no—
1165#41—48no—
1166#41—48no—
1167#41—48no—
1168#41—68no—
1169#41—128no—
1170#41—128no—
1171#41—124no—
1172#41—128no—
1173#41—1216no—
1174#41—124no—
1175C2×Q8—24no—
1176C2×Q8—32no—
1177C2×Q8—38no—
1178C2×Q8—34no—
1179C2×Q8—48no—
1180C2×Q8—124no—
1181C2×Q8C23×D312yes—
1182C2×Q8C23×D314yes—
1183C2×Q8C23×D314yes—
1184C2×D4—24no—
1185C2×D4—34no—
1186C2×D4—38no—
1187C2×D4—34no—
1188C2×D4—34no—
1189C2×D4—34no—
1190C2×D4—38no—
1191C2×D4—34no—
1192C2×D4—38no—
1193C2×D4—34no—
1194C2×D4—34no—
1195C2×D4—38no—
1196C2×D4—34no—
1197C2×D4—32no—
1198C2×D4—34no—
1199C2×D4—34no—
1200C2×D4—44no—
1201C2×D4—124no—
1202C2×D4—128no—
1203C2×D4—128no—
1204C2×D4—128no—
1205C2×D4—1216no—
1206C2×D4—128no—
1207C2×D4—128no—
1208C2×D4—128no—
1209C2×D4C23×D314yes—
1210C2×D4C23×D312yes—
1211C2×D4C23×D314yes—
1212C2×D4C23×D314yes—
1213C2×D4C23×D314yes—
1214C2×D4C23×D318yes—
1215C2×D4C23×D318yes—
1216C2×D4C23×D314yes—
1217C2×D4C23×D314yes—
1218C2×D4C23×D314yes—
1219C22×C4—24no—
1220C22×C4—32no—
1221C22×C4—34no—
1222C22×C4—38no—
1223C22×C4—38no—
1224C22×C4—34no—
1225C22×C4—34no—
1226C22×C4—31no—
1227C22×C4—32no—
1228C22×C4—31no—
1229C22×C4—32no—
1230C22×C4—34no—
1231C22×C4—32no—
1232C22×C4—34no—
1233C22×C4—32no—
1234C22×C4—32no—
1235C22×C4—34no—
1236C22×C4—32no—
1237C22×C4—32no—
1238C22×C4—34no—
1239C22×C4—34no—
1240C22×C4—38no—
1241C22×C4—32no—
1242C22×C4—32no—
1243C22×C4—44no—
1244C22×C4—68no—
1245C22×C4—124no—
1246C22×C4—124no—
1247C22×C4—124no—
1248C22×C4—124no—
1249C22×C4—128no—
1250C22×C4—124no—
1251C22×C4—122no—
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D312yes—
1254C22×C4C23×D314yes—
1255C22×C4C23×D312yes—
1256C22×C4C23×D312yes—
1257C22×C4C23×D318yes—
1258C22×C4C23×D318yes—
1259C22×C4C23×D311yescharacteristic
1260C4⋊C4—32no—
1261C4⋊C4—34no—
1262C4⋊C4—34no—
1263C4⋊C4—34no—
1264C4⋊C4—34no—
1265C4⋊C4—34no—
1266C4⋊C4—38no—
1267C4⋊C4—38no—
1268C4⋊C4—32no—
1269C4⋊C4—34no—
1270C4⋊C4—34no—
1271C4⋊C4—34no—
1272C4⋊C4—34no—
1273C4⋊C4—38no—
1274C4⋊C4—34no—
1275C4⋊C4—38no—
1276C4⋊C4—38no—
1277C4⋊C4—38no—
1278C4⋊C4—38no—
1279C4⋊C4—38no—
1280C4⋊C4—38no—
1281C4⋊C4—38no—
1282C4⋊C4C23×D312yes—
1283C4⋊C4C23×D312yes—
1284C4⋊C4C23×D314yes—
1285C4⋊C4C23×D314yes—
1286C4⋊C4C23×D318yes—
1287C22⋊C4—34no—
1288C22⋊C4—38no—
1289C22⋊C4—34no—
1290C22⋊C4—34no—
1291C22⋊C4—34no—
1292C22⋊C4—34no—
1293C22⋊C4—34no—
1294C22⋊C4—38no—
1295C22⋊C4—34no—
1296C22⋊C4—34no—
1297C22⋊C4—34no—
1298C22⋊C4—38no—
1299C22⋊C4—38no—
1300C22⋊C4—34no—
1301C22⋊C4—34no—
1302C22⋊C4—34no—
1303C22⋊C4—34no—
1304C22⋊C4—38no—
1305C22⋊C4—38no—
1306C22⋊C4—38no—
1307C22⋊C4—34no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—38no—
1312C22⋊C4—34no—
1313C22⋊C4—38no—
1314C22⋊C4—34no—
1315C22⋊C4—38no—
1316C22⋊C4C23×D314yes—
1317C22⋊C4C23×D314yes—
1318C22⋊C4C23×D314yes—
1319C22⋊C4C23×D314yes—
1320C22⋊C4C23×D314yes—
1321C22⋊C4C23×D318yes—
1322C22⋊C4C23×D318yes—
1323C42—34no—
1324C42—38no—
1325C42—34no—
1326C42—34no—
1327C42—38no—
1328C42—38no—
1329C42C23×D314yes—
1330C42C23×D314yes—
1331C42C23×D314yes—
1332C22×C3—22no—
1333C22×C3—21no—
1334C22×C3—21no—
1335C22×C3—24no—
1336C22×C3—24no—
1337C22×C3—24no—
1338C22×C3—28no—
1339C22×C3—24no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—44no—
1343C22×C3—84no—
1344C22×C3C2×H(5,𝔽2)12yes—
1345C22×C3C2611yescharacteristic
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—24no—
1350C2×D3—24no—
1351C2×D3—24no—
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—44no—
1355C2×D3—48no—
1356C2×D3—48no—
1357C2×D3—44no—
1358C2×D3—88no—
1359C2×D3—164no—
1360C2×D3#58514yes—
1361C3×C4—24no—
1362C3×C4—22no—
1363C3×C4—24no—
1364C3×C4—24no—
1365C3×C4—24no—
1366C3×C4C2×H(5,𝔽2)14yes—
1367Dic3—24no—
1368Dic3—22no—
1369Dic3—22no—
1370Dic3—24no—
1371Dic3—28no—
1372Dic3—24no—
1373C23—22no—
1374C23—24no—
1375C23—32no—
1376C23—32no—
1377C23—34no—
1378C23—42no—
1379C23—44no—
1380C23—64no—
1381C23—64no—
1382C23—64no—
1383C23—68no—
1384C23—64no—
1385C23—121no—
1386C23—122no—
1387C23—121no—
1388C23—122no—
1389C23—122no—
1390C23—122no—
1391C23—124no—
1392C23—124no—
1393C23—124no—
1394C23—128no—
1395C23—1216no—
1396C23C24×D311yescharacteristic
1397C23C24×D311yescharacteristic
1398C23C24×D314yes—
1399C23C24×D314yes—
1400C23C24×D311yescharacteristic
1401Q8—28no—
1402Q8—24no—
1403Q8—44no—
1404Q8—64no—
1405Q8—124no—
1406Q8—128no—
1407D4—28no—
1408D4—28no—
1409D4—24no—
1410D4—44no—
1411D4—44no—
1412D4—44no—
1413D4—44no—
1414D4—48no—
1415D4—44no—
1416D4—48no—
1417D4—68no—
1418D4—616no—
1419D4—68no—
1420D4—68no—
1421D4—64no—
1422D4—124no—
1423D4—124no—
1424D4—128no—
1425D4—124no—
1426D4—124no—
1427D4—124no—
1428D4—124no—
1429D4—128no—
1430D4—128no—
1431D4—124no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—28no—
1437C2×C4—34no—
1438C2×C4—38no—
1439C2×C4—32no—
1440C2×C4—34no—
1441C2×C4—34no—
1442C2×C4—32no—
1443C2×C4—48no—
1444C2×C4—48no—
1445C2×C4—68no—
1446C2×C4—64no—
1447C2×C4—64no—
1448C2×C4—64no—
1449C2×C4—64no—
1450C2×C4—64no—
1451C2×C4—68no—
1452C2×C4—122no—
1453C2×C4—122no—
1454C2×C4—122no—
1455C2×C4—122no—
1456C2×C4—124no—
1457C2×C4—124no—
1458C2×C4—128no—
1459C2×C4—124no—
1460C2×C4—121no—
1461C2×C4—122no—
1462C2×C4—121no—
1463C2×C4—124no—
1464C2×C4—124no—
1465C2×C4—124no—
1466C2×C4—128no—
1467C2×C4—128no—
1468C2×C4#100414yes—
1469C2×C4C24×D312yes—
1470C2×C4C24×D314yes—
1471C2×C4C24×D314yes—
1472C2×C4C24×D314yes—
1473C2×C4C24×D314yes—
1474C2×C4C24×D312yes—
1475C2×C3—22no—
1476C2×C3—41no—
1477C2×C3—41no—
1478C2×C3—44no—
1479C2×C3—44no—
1480C2×C3C22×H(5,𝔽2)11yescharacteristic
1481C2×C3C2×#58512yes—
1482D3—24no—
1483D3—42no—
1484D3—44no—
1485C22—22no—
1486C22—21no—
1487C22—21no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—28no—
1492C22—24no—
1493C22—22no—
1494C22—22no—
1495C22—34no—
1496C22—44no—
1497C22—62no—
1498C22—62no—
1499C22—62no—
1500C22—64no—
1501C22—64no—
1502C22—64no—
1503C22—62no—
1504C22—62no—
1505C22—84no—
1506C22—128no—
1507C22—124no—
1508C22—128no—
1509C22—124no—
1510C22—248no—
1511C22—484no—
1512C22C2×#100412yes—
1513C22C25×D311yescharacteristic
1514C4—22no—
1515C4—24no—
1516C4—24no—
1517C4—24no—
1518C4—24no—
1519C4—62no—
1520C4—62no—
1521C4—64no—
1522C4—64no—
1523C4—68no—
1524C4—64no—
1525C4C2×#100414yes—
1526C3#6282111yescharacteristic, complemented, Sylow
1527C2—22no—
1528C2—41no—
1529C2—41no—
1530C2—44no—
1531C2—44no—
1532C2—64no—
1533C2—122no—
1534C2—124no—
1535C2C22×#100411yescharacteristic
1536C2D3×#58512yes—
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3487C2
hypercenter#3487D3
hypocenterC3#62821
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3487

Complements

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

NH ≅ G/Ntype
1. C3×#3487C2semidirect
2. #87295C2semidirect
3. #87273C2semidirect
4. C2×#5828C2semidirect
5. #86786C2semidirect
6. #86785C2semidirect
7. #86778C2semidirect
8. #86775C2semidirect
9. #86740C2semidirect
10. #86738C2semidirect
11. #86726C2semidirect
12. #86721C2semidirect
13. #86333C2semidirect
14. #86332C2semidirect
15. #86331C2semidirect
16. #86321C2semidirect
17. #86045C2semidirect
18. D3×#525C2semidirect
19. #86026C2semidirect
20. #85882C2semidirect
22. C2×C3×2−1+4C22semidirect
23. C22×C3×#41C22semidirect
24. C2×D3×#41C22semidirect
25. C2×#1004C22semidirect
26. C23×C4×D3C22semidirect
27. C3×#550C22semidirect
28. C3×#550C22semidirect
29. C3×#548C22semidirect
30. C3×#548C22semidirect
31. C3×#535C22semidirect
32. C3×#535C22semidirect
33. C3×#525C22semidirect
34. C3×#525C22semidirect
35. C3×#519C22semidirect
36. #5833C22semidirect
37. #5833C22semidirect
38. #5829C22semidirect
39. #5829C22semidirect
40. #5829C22semidirect
41. #5829C22semidirect
42. #5828C22semidirect
43. #5828C22semidirect
44. #5828C22semidirect
45. #5828C22semidirect
46. #5828C22semidirect
47. #5828C22semidirect
48. #5827C22semidirect
49. #5824C22semidirect
50. #5824C22semidirect
51. #5824C22semidirect
52. #5824C22semidirect
53. #5817C22semidirect
54. #5816C22semidirect
55. #5816C22semidirect
56. Q8×#67C22semidirect
57. C2×#946C22semidirect
58. C2×#946C22semidirect
59. #5804C22semidirect
60. C2×#938C22semidirect
61. C2×#937C22semidirect
62. #5798C22semidirect
63. C2×#935C22semidirect
64. #5791C22semidirect
65. C2×#929C22semidirect
66. C2×C4×#67C22semidirect
67. C2×#926C22semidirect
68. #5720C22semidirect
69. #5720C22semidirect
70. #5719C22semidirect
71. #5719C22semidirect
72. #5718C22semidirect
73. #5717C22semidirect
74. #5717C22semidirect
75. #5716C22semidirect
76. #5715C22semidirect
77. #5713C22semidirect
78. #5683C22semidirect
79. #5682C22semidirect
80. #5680C22semidirect
81. #5679C22semidirect
82. #5679C22semidirect
83. #5678C22semidirect
84. #5677C22semidirect
85. #5676C22semidirect
86. #5672C22semidirect
87. #5669C22semidirect
88. #5656C22semidirect
89. D3×#123C22semidirect
90. #5649C22semidirect
91. #5641C22semidirect
92. #5640C22semidirect
93. #5639C22semidirect
94. #5638C22semidirect
95. #5637C22semidirect
96. #5636C22semidirect
97. #5627C22semidirect
98. #5627C22semidirect
99. D3×C22⋊Q8C22semidirect
100. D3×C22⋊Q8C22semidirect
101. #5621C22semidirect
102. #5620C22semidirect
103. #5618C22semidirect
104. #5616C22semidirect
105. #5616C22semidirect
106. #5615C22semidirect
107. #5614C22semidirect
108. #5614C22semidirect
109. #5613C22semidirect
110. #5613C22semidirect
111. #5613C22semidirect
112. #5611C22semidirect
113. #5610C22semidirect
114. #5610C22semidirect
115. #5608C22semidirect
116. #5607C22semidirect
117. #5606C22semidirect
118. #5606C22semidirect
119. #5606C22semidirect
120. #5605C22semidirect
121. D3×#121C22semidirect
122. D3×#121C22semidirect
123. D3×#121C22semidirect
124. #5602C22semidirect
125. #5601C22semidirect
126. #5601C22semidirect
127. #5593C22semidirect
128. #5591C22semidirect
129. #5591C22semidirect
130. #5590C22semidirect
131. D3×#120C22semidirect
132. #5587C22semidirect
133. #5586C22semidirect
134. #5584C22semidirect
135. #5583C22semidirect
136. #5582C22semidirect
137. #5581C22semidirect
138. #5581C22semidirect
139. #5580C22semidirect
140. #5579C22semidirect
141. #5578C22semidirect
142. #5565C22semidirect
143. #5564C22semidirect
144. #5563C22semidirect
145. #5560C22semidirect
146. #5559C22semidirect
147. #5558C22semidirect
148. #5556C22semidirect
149. #5547C22semidirect
150. #5547C22semidirect
151. #5546C22semidirect
152. #5545C22semidirect
153. C4×D3×D4C22semidirect
154. C4×D3×D4C22semidirect
155. #5542C22semidirect
156. #5541C22semidirect
157. #5540C22semidirect
158. #5531C22semidirect
159. #5527C22semidirect
161. #5523C22semidirect
162. D3×#117C22semidirect
163. #5519C22semidirect
180. #3487D3semidirect
191. C2×C3×#41C23semidirect
193. C22×C3×Q8C23semidirect
208. C2×#237C23semidirect
214. C2×D3×D4C23semidirect
227. C3×#127C23semidirect
230. C3×#124C23semidirect
234. C3×C22⋊Q8C23semidirect
239. C3×#121C23semidirect
240. C3×#121C23semidirect
241. C3×#121C23semidirect
244. C3×C4×Q8C23semidirect
245. C3×C4×Q8C23semidirect
248. C3×C4×D4C23semidirect
249. C3×C4×D4C23semidirect
257. #947C23semidirect
265. #946C23semidirect
266. #946C23semidirect
267. #946C23semidirect
268. #946C23semidirect
269. Q8×Dic3C23semidirect
270. #944C23semidirect
271. #944C23semidirect
283. #939C23semidirect
284. #939C23semidirect
293. #938C23semidirect
294. #938C23semidirect
305. #937C23semidirect
307. #936C23semidirect
315. #935C23semidirect
316. #935C23semidirect
317. #935C23semidirect
321. D4×Dic3C23semidirect
322. D4×Dic3C23semidirect
323. D4×Dic3C23semidirect
324. D4×Dic3C23semidirect
325. D4×Dic3C23semidirect
329. #930C23semidirect
333. #929C23semidirect
334. #929C23semidirect
335. #929C23semidirect
345. C4×#67C23semidirect
348. C2×(C2×D3)⋊C4C23semidirect
352. #926C23semidirect
354. C2×C4⋊Dic3C23semidirect
357. #924C23semidirect
358. #924C23semidirect
360. C2×Dic3⋊C4C23semidirect
361. C2×Dic3⋊C4C23semidirect
364. #898C23semidirect
365. #898C23semidirect
371. #896C23semidirect
382. #892C23semidirect
383. #892C23semidirect
388. D3×C4⋊C4C23semidirect
389. #890C23semidirect
390. #889C23semidirect
391. #889C23semidirect
392. #889C23semidirect
393. #888C23semidirect
394. #887C23semidirect
399. #885C23semidirect
400. #885C23semidirect
409. #883C23semidirect
421. #67⋊C4C23semidirect
427. D3×C22⋊C4C23semidirect
430. #879C23semidirect
431. #879C23semidirect
432. #879C23semidirect
436. #878C23semidirect
437. #878C23semidirect
439. #877C23semidirect
440. #877C23semidirect
442. #876C23semidirect
447. C4×D12C23semidirect
450. #872C23semidirect
452. #870C23semidirect
453. #870C23semidirect
454. #869C23semidirect
455. C4×Dic6C23semidirect
456. C4×Dic6C23semidirect
457. C2×2−1+4C2×D3semidirect
460. C22×#41C2×D3semidirect
498. #550C2×D3semidirect
499. #550C2×D3semidirect
503. #548C2×D3semidirect
504. #548C2×D3semidirect
547. #535C2×D3semidirect
548. #535C2×D3semidirect
573. #525C2×D3semidirect
574. #525C2×D3semidirect
591. #519C2×D3semidirect
794. C2×#41C22×D3semidirect
797. C22×Q8C22×D3semidirect
826. #127C22×D3semidirect
854. #124C22×D3semidirect
911. C22⋊Q8C22×D3semidirect
948. #121C22×D3semidirect
949. #121C22×D3semidirect
950. #121C22×D3semidirect
973. C4×Q8C22×D3semidirect
974. C4×Q8C22×D3semidirect
1009. C4×D4C22×D3semidirect
1010. C4×D4C22×D3semidirect
1526. C3#62821semidirect

Maximal subgroups

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

subgroupindex
C3×#34872
#872952
#872732
C2×#58282
#867862
#867852
#867782
#867752
#867402
#867382
#867262
#867212
#863332
#863322
#863312
#863212
#860452
D3×#5252
#860262
#858822
#628213