Finite Group Databasebeta

← #11705568

Subgroups — #11705568

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
1C2×C3×#544C211yesmaximal, characteristic, complemented
2#86603C214yesmaximal, complemented
3#86602C214yesmaximal, complemented
4#86601C214yesmaximal, complemented
5#86600C214yesmaximal, complemented
6#86599C211yesmaximal, characteristic, complemented
7#86597C212yesmaximal, complemented
8#86596C211yesmaximal, characteristic, complemented
9D3×#544C211yesmaximal, characteristic, complemented
10#86589C214yesmaximal, complemented
11#86588C214yesmaximal, complemented
12#86586C212yesmaximal, complemented
13#86582C211yesmaximal, characteristic, complemented
14#86217C214yesmaximal, complemented
15#86214C214yesmaximal, complemented
16#86103C214yesmaximal, complemented
17#86099C214yesmaximal, complemented
18#85989C214yesmaximal, complemented
19#85985C214yesmaximal, complemented
20#85747C212yesmaximal, complemented
21#85744C212yesmaximal, complemented
22#85718C211yesmaximal, characteristic, complemented
23C2×#5507C211yesmaximal, characteristic, complemented
24#62915—31nomaximal, Sylow
25C2×#1007C2214yescomplemented
26C22×#235C2212yes—
27C3×#544C2211yescharacteristic
28C3×#544C2212yes—
29C3×#544C2214yes—
30C3×#544C2211yescharacteristic
31C3×#544C2214yescomplemented
32C3×#544C2214yescomplemented
33C2×C3×C4⋊Q8C2214yescomplemented
34C2×C3×#125C2214yescomplemented
35C2×C3×C22⋊Q8C2214yes—
36C2×C3×#117C2212yes—
37C22×C3×C4⋊C4C2211yescharacteristic
38#5816C2218yescomplemented
39#5816C2214yescomplemented
40#5791C2214yes—
41#5791C2212yes—
42C2×#930C2211yescharacteristic
43C2×#929C2212yes—
44C2×C4×#67C2211yescharacteristic
45#5735C2218yescomplemented
46#5735C2218yescomplemented
47#5734C2214yescomplemented
48#5733C2214yescomplemented
49#5733C2218yescomplemented
50#5733C2214yescomplemented
51#5730C2214yescomplemented
52#5730C2214yescomplemented
53#5729C2214yescomplemented
54#5729C2218yescomplemented
55#5729C2214yescomplemented
56#5727C2214yescomplemented
57#5727C2218yescomplemented
58#5727C2214yescomplemented
59#5726C2214yescomplemented
60#5726C2214yescomplemented
61#5726C2218yescomplemented
62#5725C2214yescomplemented
63#5725C2214yescomplemented
64#5724C2218yescomplemented
65#5724C2218yescomplemented
66D3×C4⋊Q8C2214yescomplemented
67D3×C4⋊Q8C2214yescomplemented
68#5722C2214yescomplemented
69#5700C2218yescomplemented
70#5699C2218yescomplemented
71#5697C2214yescomplemented
72#5697C2214yescomplemented
73#5696C2218yescomplemented
74#5695C2214yescomplemented
75#5695C2214yescomplemented
76#5695C2214yescomplemented
77#5694C2214yescomplemented
78#5693C2218yescomplemented
79#5693C2218yescomplemented
80#5692C2218yescomplemented
81#5692C2218yescomplemented
82#5692C2218yescomplemented
83#5691C2214yescomplemented
84#5691C2214yescomplemented
85#5690C2214yescomplemented
86#5690C2214yescomplemented
87#5690C2214yescomplemented
88#5689C2214yescomplemented
89#5689C2214yescomplemented
90#5688C2214yescomplemented
91D3×#125C2214yescomplemented
92#5685C2214yescomplemented
93#5647C2218yescomplemented
94#5646C2218yescomplemented
95#5645C2214yes—
96#5644C2214yes—
97#5640C2218yescomplemented
98#5638C2218yescomplemented
99#5637C2218yes—
100#5636C2218yes—
101#5634C2214yes—
102#5633C2218yescomplemented
103#5632C2218yes—
104#5631C2218yescomplemented
105#5630C2218yes—
106#5629C2214yescomplemented
107#5629C2214yescomplemented
108#5628C2214yescomplemented
109#5628C2214yescomplemented
110#5627C2214yes—
111#5627C2214yes—
112D3×C22⋊Q8C2214yes—
113D3×C22⋊Q8C2214yes—
114#5623C2214yes—
115#5535C2214yescomplemented
116#5534C2214yescomplemented
117#5533C2212yescomplemented
118#5532C2212yescomplemented
119#5532C2214yescomplemented
120#5531C2214yes—
121#5530C2214yescomplemented
122#5530C2212yescomplemented
123#5529C2212yescomplemented
124#5528C2214yescomplemented
125#5528C2214yescomplemented
126#5527C2218yes—
127#5527C2214yes—
128#5525C2212yes—
129#5524C2212yes—
130#5523C2212yes—
131#5522C2212yes—
132#5521C2212yes—
133D3×#117C2212yes—
134#5519C2212yes—
135#5517C2212yes—
136#5515C2214yes—
137#5515C2218yescomplemented
138#5514C2214yescomplemented
139#5514C2214yescomplemented
140#5514C2212yescomplemented
141#5513C2214yescomplemented
142#5513C2218yescomplemented
143#5513C2212yescomplemented
144#5511C2214yescomplemented
145#5511C2212yescomplemented
146#5510C2211yescharacteristic
147#5510C2214yescomplemented
148C2×#896C2212yes—
149#5507C2214yes—
150#5507C2214yes—
151#5507C2214yes—
152#5507C2214yes—
153#5507C2218yescomplemented
154#5507C2214yescomplemented
155#5507C2218yescomplemented
156#5507C2218yescomplemented
157#5507C2212yescomplemented
158#5507C2214yescomplemented
159C2×#895C2211yescharacteristic
160C2×#894C2212yes—
161#5504C2212yes—
162#5504C2214yescomplemented
163C2×#893C2211yescharacteristic
164C2×D3×C4⋊C4C2211yescharacteristic
165#5500C2211yescharacteristic
166C2×#888C2211yescharacteristic
167#5495C2214yes—
168#5490C2214yes—
169#5490C2218yes—
170#5479C2214yescomplemented
171#5479C2214yescomplemented
172#5477C2214yescomplemented
173C4×#235C2214yescomplemented
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#3492—31no—
191#3489—34no—
192#3475—32no—
193C2×#547—31no—
194#3460—31no—
195C2×#544—31no—
196C2×#544D311yescharacteristic, complemented
197C22×C3×Q8C2314yes—
198C23×C3×C4C2311yescharacteristic
199C23×C3×C4C2312yes—
200C22×#67C2311yescharacteristic
201C22×#67C2312yes—
202#1007—416no—
203C2×#239C2314yes—
204C2×#239C2318yes—
205C2×#239C2314yes—
206C2×D3×Q8C2318yes—
207C2×D3×Q8C2314yes—
208C2×D3×Q8C2314yes—
209C2×#235—48no—
210C2×#235C2314yes—
211C2×#235C2314yes—
212C2×#235C2312yes—
213C2×#235C2314yes—
214C2×#235C2314yes—
215C2×#235C2314yes—
216C2×#235C2318yes—
217C2×#235C2314yes—
218C22×D12C2311yescharacteristic
219C22×D12C2312yes—
220C22×C4×D3C2311yescharacteristic
221C22×C4×D3C2312yes—
222C22×C4×D3C2312yes—
223C22×Dic6C2312yes—
224C3×C4⋊Q8C2314yes—
225C3×C4⋊Q8C2314yes—
226C3×C4⋊Q8C2314yes—
227C3×C4⋊Q8C2318yes—
228C3×C4⋊Q8C2314yes—
229C3×C4⋊Q8C2318yes—
230C3×#125C2314yes—
231C3×#125C2314yes—
232C3×#125C2314yes—
233C3×#125C2314yes—
234C3×#125C2318yes—
235C3×#125C2318yes—
236C3×C22⋊Q8C2318yes—
237C3×C22⋊Q8C2318yes—
238C3×C22⋊Q8C2314yes—
239C3×C22⋊Q8C2314yes—
240C3×C22⋊Q8C2314yes—
241C3×C22⋊Q8C2314yes—
242C3×#117C2312yes—
243C3×#117C2312yes—
244C3×#117C2314yes—
245C3×#117C2314yes—
246C3×#117C2312yes—
247C3×#117C2312yes—
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2314yes—
251C2×C3×C4⋊C4C2312yes—
252C2×C3×C4⋊C4C2314yes—
253C2×C3×C4⋊C4C2314yes—
254C2×C3×C4⋊C4C2312yes—
255C2×C3×C4⋊C4C2318yes—
256C2×C3×C4⋊C4C2312yes—
257C2×C3×C22⋊C4C2314yes—
258C2×C3×C42C2314yes—
259#953C2314yes—
260C2×#217C2311yescharacteristic
261#947C2318yes—
262#947C2318yes—
263#947C2318yes—
264#946C2318yes—
265#946C2318yes—
266#946C2318yes—
267#946C2318yes—
268#946C2314yes—
269#946C2314yes—
270#946C2314yes—
271#946C2314yes—
272#944C2318yes—
273#944C2318yes—
274#944C2318yes—
275#930C2314yes—
276#930C2314yes—
277#930C2312yes—
278#930C2314yes—
279#930C2318yes—
280#930C2314yes—
281#930C2314yes—
282#930C2312yes—
283#929C2318yes—
284#929C2314yes—
285#929C2318yes—
286#929C2314yes—
287#929C2318yes—
288#929C2318yes—
289#929C2314yes—
290C4×#67C2318yes—
291C4×#67C2318yes—
292C4×#67C2312yes—
293C4×#67C2314yes—
294C4×#67C2314yes—
295C4×#67C2314yes—
296C4×#67C2312yes—
297C4×#67C2318yes—
298C4×#67C2312yes—
299C4×#67C2312yes—
300C4×#67C2314yes—
301C2×(C2×D3)⋊C4C2312yes—
302C2×(C2×D3)⋊C4C2312yes—
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2312yes—
305#926C2314yes—
306#926C2312yes—
307#926C2314yes—
308C2×C4⋊Dic3C2311yescharacteristic
309#924C2314yes—
310#924C2314yes—
311#924C2312yes—
312#924C2314yes—
313#924C2312yes—
314C2×Dic3⋊C4C2312yes—
315C2×Dic3⋊C4C2312yes—
316C2×Dic3⋊C4C2311yescharacteristic
317C2×C4×Dic3C2311yescharacteristic
318#898C2318yes—
319#898C2318yes—
320#898C2318yes—
321#898C2318yes—
322#898C2314yes—
323#898C2318yes—
324#898C2318yes—
325#898C2314yes—
326#897C2318yes—
327#897C2318yes—
328#897C2314yes—
329#897C2314yes—
330#897C2312yes—
331#897C2314yes—
332#897C2312yes—
333#896C2318yes—
334#896C2318yes—
335#896C2318yes—
336#896C2318yes—
337#896C2318yes—
338#896C2318yes—
339#896C2318yes—
340#896C2318yes—
341#896C2314yes—
342#896C2318yes—
343#896C2318yes—
344#896C2318yes—
345#896C2314yes—
346#896C2318yes—
347#895C2318yes—
348#895C2318yes—
349#895C2314yes—
350#895C2314yes—
351#895C2314yes—
352#895C2318yes—
353#895C2312yes—
354#895C2314yes—
355#895C2314yes—
356#895C2314yes—
357#895C2318yes—
358#895C2312yes—
359#895C2314yes—
360#894C2318yes—
361#894C2318yes—
362#894C2318yes—
363#894C2318yes—
364#894C2318yes—
365#894C2318yes—
366#894C2314yes—
367#894C2318yes—
368#894C2318yes—
369#894C2318yes—
370#894C2318yes—
371#894C2318yes—
372#894C2318yes—
373#894C2314yes—
374#894C2318yes—
375#893C2318yes—
376#893C2318yes—
377#893C2318yes—
378#893C2314yes—
379#893C2312yes—
380#893C2314yes—
381#893C2314yes—
382#893C2314yes—
383#893C2318yes—
384#893C2312yes—
385#893C2314yes—
386#892C2318yes—
387#892C2314yes—
388#892C2314yes—
389#892C2312yes—
390#892C2314yes—
391#892C2314yes—
392#892C2312yes—
393D3×C4⋊C4C2318yes—
394D3×C4⋊C4C2314yes—
395D3×C4⋊C4C2312yes—
396D3×C4⋊C4C2318yes—
397D3×C4⋊C4C2314yes—
398D3×C4⋊C4C2314yes—
399D3×C4⋊C4C2314yes—
400D3×C4⋊C4C2314yes—
401D3×C4⋊C4C2318yes—
402D3×C4⋊C4C2312yes—
403D3×C4⋊C4C2314yes—
404#890C2318yes—
405#890C2314yes—
406#890C2314yes—
407#890C2312yes—
408#890C2312yes—
409#889C2318yes—
410#889C2318yes—
411#889C2318yes—
412#889C2318yes—
413#889C2314yes—
414#889C2318yes—
415#889C2314yes—
416#888C2318yes—
417#888C2318yes—
418#888C2318yes—
419#888C2314yes—
420#888C2312yes—
421#888C2314yes—
422#888C2314yes—
423#888C2314yes—
424#888C2312yes—
425#887C2318yes—
426#887C2318yes—
427#887C2312yes—
428#887C2314yes—
429#887C2312yes—
430#886C2314yes—
431#885C2314yes—
432#885C2318yes—
433#885C2314yes—
434#884C2314yes—
435#884C2318yes—
436#884C2318yes—
437#884C2314yes—
438#883C2314yes—
439#883C2318yes—
440#883C2314yes—
441#882C2318yes—
442#882C2314yes—
443#67⋊C4C2314yes—
444#67⋊C4C2318yes—
445#67⋊C4C2314yes—
446D3×C22⋊C4C2318yes—
447D3×C22⋊C4C2314yes—
448#879C2314yes—
449#879C2314yes—
450#878C2314yes—
451#878C2318yes—
452#878C2314yes—
453#877C2314yes—
454#876C2314yes—
455#876C2314yes—
456#876C2318yes—
457#875C2314yes—
458#875C2318yes—
459#875C2314yes—
460#874C2314yes—
461C4×D12C2314yes—
462C4×D12C2314yes—
463C4×D12C2314yes—
464C4×D12C2314yes—
465C4×D12C2318yes—
466C4×D12C2314yes—
467C4×D12C2314yes—
468#872C2314yes—
469#872C2314yes—
470#872C2314yes—
471#872C2314yes—
472#872C2318yes—
473C42×D3C2314yes—
474C42×D3C2314yes—
475#870C2314yes—
476#870C2314yes—
477#869C2314yes—
478C4×Dic6C2314yes—
479C4×Dic6C2314yes—
480C4×Dic6C2314yes—
481C4×Dic6C2314yes—
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—34no—
494#555—32no—
495#555—34no—
496#554—34no—
497#554—34no—
498#554—34no—
499#554—34no—
500#554—34no—
501#554—38no—
502#554—32no—
503#554—34no—
504#553—34no—
505#553—34no—
506#553—34no—
507#553—32no—
508#553—34no—
509#553—32no—
510#553—34no—
511#553—34no—
512#552—38no—
513#552—38no—
514#552—34no—
515#552—32no—
516#552—34no—
517#552—32no—
518#552—34no—
519#552—38no—
520#551—38no—
521#551—34no—
522#551—38no—
523#551—34no—
524D4×Q8—34no—
525D4×Q8—34no—
526D4×Q8—38no—
527D4×Q8—38no—
528#548—38no—
529#547—34no—
530#547—34no—
531#547—38no—
532#547—38no—
533#547—34no—
534#547—34no—
535#547—34no—
536#547—34no—
537#547—32no—
538#547—38no—
539#547—38no—
540#547—34no—
541#547—34no—
542#547—38no—
543#546—38no—
544#546—34no—
545#546—38no—
546#544—34no—
547#544—34no—
548#544—38no—
549#544—34no—
550#544—34no—
551#544—34no—
552#544—32no—
553#544—31no—
554#544C2×D311yescharacteristic
555#544C2×D311yescharacteristic
556#544C2×D312yes—
557#544C2×D314yes—
558#544C2×D314yescomplemented
559#544C2×D314yescomplemented
560#543—34no—
561#542—34no—
562#542—34no—
563#542—38no—
564#542—38no—
565#542—34no—
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—34no—
576#539—38no—
577#538—34no—
578#537—34no—
579#537—34no—
580#537—31no—
581#537—34no—
582#536—34no—
583#536—38no—
584#536—38no—
585#536—38no—
586#536—34no—
587#536—34no—
588#535—32no—
589#533—34no—
590#533—32no—
591#532—34no—
592#532—34no—
593#532—34no—
594C2×C4⋊Q8—34no—
595C2×C4⋊Q8—34no—
596C2×C4⋊Q8—31no—
597C2×C4⋊Q8C2×D314yescomplemented
598#529—34no—
599#529—34no—
600#529—34no—
601#529—34no—
602#529—34no—
603#529—34no—
604C2×#125—34no—
605C2×#125C2×D314yescomplemented
606#525—32no—
607#525—34no—
608#525—34no—
609#525—34no—
610#525—32no—
611C2×#123—32no—
612C2×#123—32no—
613C2×C22⋊Q8—34no—
614C2×C22⋊Q8—34no—
615C2×C22⋊Q8—32no—
616C2×C22⋊Q8C2×D314yes—
617C2×#121—31no—
618C2×#121—31no—
619#520—32no—
620#520—32no—
621#520—34no—
622#518—32no—
623C4×#41—32no—
624C4×#41—34no—
625C2×C4×D4—31no—
626C2×C4×D4—31no—
627C2×#117—32no—
628C2×#117C2×D312yes—
629C22×C4⋊C4—31no—
630C22×C4⋊C4C2×D311yescharacteristic
631C24×C3C2411yescharacteristic
632C23×D3C2411yescharacteristic
633C23×D3C2412yes—
634C2×C3×Q8—48no—
635C2×C3×Q8C2414yes—
636C2×C3×Q8C2418yes—
637C2×C3×Q8C2414yes—
638C22×C3×C4—24no—
639C22×C3×C4—44no—
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2412yes—
642C22×C3×C4C2412yes—
643C22×C3×C4C2414yes—
644C22×C3×C4C2414yes—
645C22×C3×C4C2412yes—
646C22×C3×C4C2412yes—
647C22×C3×C4C2414yes—
648C22×C3×C4C2414yes—
649C22×C3×C4C2411yescharacteristic
650C2×#67—24no—
651C2×#67—44no—
652C2×#67C2414yes—
653C2×#67C2411yescharacteristic
654C2×#67C2411yescharacteristic
655C2×#67C2414yes—
656C2×#67C2411yescharacteristic
657C2×#67C2414yes—
658C2×#67C2414yes—
659C2×#67C2414yes—
660C2×#67C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2412yes—
665#239—48no—
666#239—48no—
667#239—416no—
668D3×Q8—416no—
669D3×Q8—48no—
670D3×Q8—48no—
671#235—28no—
672#235—216no—
673#235—216no—
674#235—48no—
675#235—48no—
676#235—48no—
677#235—48no—
678#235—416no—
679C2×D12—24no—
680C2×D12—44no—
681C2×D12C2412yes—
682C2×D12C2414yes—
683C2×D12C2414yes—
684C2×D12C2414yes—
685C2×D12C2418yes—
686C2×D12C2414yes—
687C2×D12C2418yes—
688C2×D12C2414yes—
689C2×D12C2414yes—
690C2×C4×D3—24no—
691C2×C4×D3—44no—
692C2×C4×D3—44no—
693C2×C4×D3C2412yes—
694C2×C4×D3C2414yes—
695C2×C4×D3C2414yes—
696C2×C4×D3C2414yes—
697C2×C4×D3C2412yes—
698C2×C4×D3C2414yes—
699C2×C4×D3C2414yes—
700C2×C4×D3C2414yes—
701C2×C4×D3C2414yes—
702C2×C4×D3C2418yes—
703C2×C4×D3C2418yes—
704C2×C4×D3C2418yes—
705C2×C4×D3C2418yes—
706C2×C4×D3C2414yes—
707C2×C4×D3C2414yes—
708C2×Dic6—44no—
709C2×Dic6C2412yes—
710C2×Dic6C2414yes—
711C2×Dic6C2414yes—
712C2×Dic6C2414yes—
713C2×Dic6C2418yes—
714C2×Dic6C2414yes—
715C2×Dic6C2414yes—
716C3×C4⋊C4C2414yes—
717C3×C4⋊C4C2412yes—
718C3×C4⋊C4C2418yes—
719C3×C4⋊C4C2418yes—
720C3×C4⋊C4C2412yes—
721C3×C4⋊C4C2418yes—
722C3×C4⋊C4C2418yes—
723C3×C4⋊C4C2414yes—
724C3×C4⋊C4C2412yes—
725C3×C4⋊C4C2412yes—
726C3×C4⋊C4C2414yes—
727C3×C4⋊C4C2418yes—
728C3×C4⋊C4C2414yes—
729C3×C4⋊C4C2414yes—
730C3×C4⋊C4C2418yes—
731C3×C4⋊C4C2414yes—
732C3×C22⋊C4C2414yes—
733C3×C22⋊C4C2414yes—
734C3×C22⋊C4C2414yes—
735C3×C22⋊C4C2414yes—
736C3×C42C2414yes—
737C3×C42C2414yes—
738C3×C42C2414yes—
739C3×C42C2414yes—
740#217C2414yes—
741#217C2412yes—
742#217C2414yes—
743#217C2414yes—
744#217C2412yes—
745(C2×D3)⋊C4C2412yes—
746(C2×D3)⋊C4C2414yes—
747(C2×D3)⋊C4C2418yes—
748(C2×D3)⋊C4C2414yes—
749(C2×D3)⋊C4C2414yes—
750(C2×D3)⋊C4C2414yes—
751(C2×D3)⋊C4C2414yes—
752(C2×D3)⋊C4C2418yes—
753(C2×D3)⋊C4C2414yes—
754(C2×D3)⋊C4C2414yes—
755(C2×D3)⋊C4C2414yes—
756(C2×D3)⋊C4C2418yes—
757(C2×D3)⋊C4C2418yes—
758(C2×D3)⋊C4C2418yes—
759(C2×D3)⋊C4C2414yes—
760(C2×D3)⋊C4C2414yes—
761(C2×D3)⋊C4C2412yes—
762(C2×D3)⋊C4C2418yes—
763(C2×D3)⋊C4C2418yes—
764(C2×D3)⋊C4C2418yes—
765(C2×D3)⋊C4C2418yes—
766(C2×D3)⋊C4C2418yes—
767C4⋊Dic3C2414yes—
768C4⋊Dic3C2414yes—
769C4⋊Dic3C2414yes—
770C4⋊Dic3C2414yes—
771C4⋊Dic3C2412yes—
772C4⋊Dic3C2418yes—
773C4⋊Dic3C2412yes—
774C4⋊Dic3C2414yes—
775C4⋊Dic3C2414yes—
776C4⋊Dic3C2414yes—
777Dic3⋊C4C2412yes—
778Dic3⋊C4C2414yes—
779Dic3⋊C4C2414yes—
780Dic3⋊C4C2414yes—
781Dic3⋊C4C2414yes—
782Dic3⋊C4C2414yes—
783Dic3⋊C4C2418yes—
784Dic3⋊C4C2412yes—
785Dic3⋊C4C2414yes—
786Dic3⋊C4C2418yes—
787Dic3⋊C4C2414yes—
788Dic3⋊C4C2418yes—
789Dic3⋊C4C2414yes—
790Dic3⋊C4C2414yes—
791Dic3⋊C4C2414yes—
792Dic3⋊C4C2418yes—
793Dic3⋊C4C2418yes—
794Dic3⋊C4C2418yes—
795Dic3⋊C4C2418yes—
796C4×Dic3C2412yes—
797C4×Dic3C2414yes—
798C4×Dic3C2412yes—
799C4×Dic3C2414yes—
800C4×Dic3C2414yes—
801C4×Dic3C2418yes—
802C4×Dic3C2414yes—
803C4×Dic3C2414yes—
804C4×Dic3C2418yes—
8052−1+4—1216no—
806C2×#41—34no—
807C2×#41—34no—
808C2×#41—38no—
809C2×#41—32no—
810C2×#41—34no—
811C2×#41—34no—
812C2×#41—34no—
813C2×#41—38no—
814C2×#41—34no—
815C2×#41—34no—
816C2×#41—34no—
817C2×#41—128no—
818C22×Q8—34no—
819C22×Q8—34no—
820C22×Q8—38no—
821C22×Q8—32no—
822C22×Q8C22×D314yes—
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—38no—
834C4⋊Q8—38no—
835C4⋊Q8—34no—
836C4⋊Q8—32no—
837C4⋊Q8—38no—
838C4⋊Q8—34no—
839C4⋊Q8—34no—
840C4⋊Q8—34no—
841C4⋊Q8—38no—
842C4⋊Q8—32no—
843C4⋊Q8—38no—
844C4⋊Q8—34no—
845C4⋊Q8C22×D314yes—
846C4⋊Q8C22×D314yes—
847C4⋊Q8C22×D318yes—
848C4⋊Q8C22×D314yes—
849C4⋊Q8C22×D314yes—
850C4⋊Q8C22×D318yes—
851#127—34no—
852#126—38no—
853#126—34no—
854#126—38no—
855#126—34no—
856#126—38no—
857#126—38no—
858#126—38no—
859#126—38no—
860#126—34no—
861#126—34no—
862#126—34no—
863#126—34no—
864#126—38no—
865#125—38no—
866#125—38no—
867#125—34no—
868#125—34no—
869#125—34no—
870#125—34no—
871#125—32no—
872#125—32no—
873#125—38no—
874#125—38no—
875#125—38no—
876#125—38no—
877#125—34no—
878#125—34no—
879#125C22×D314yes—
880#125C22×D314yes—
881#125C22×D318yes—
882#125C22×D318yes—
883#125C22×D314yes—
884#125C22×D314yes—
885#124—38no—
886#124—38no—
887#124—38no—
888#124—34no—
889#124—34no—
890#124—38no—
891#124—34no—
892#124—34no—
893#124—38no—
894#123—38no—
895#123—38no—
896#123—38no—
897#123—34no—
898#123—34no—
899#123—38no—
900#123—34no—
901#123—38no—
902#123—38no—
903#123—38no—
904#123—38no—
905#123—38no—
906#123—34no—
907#123—38no—
908#123—34no—
909#123—38no—
910#123—38no—
911#123—38no—
912#123—38no—
913#123—38no—
914#123—38no—
915#123—38no—
916#123—34no—
917#123—34no—
918#123—34no—
919#123—38no—
920C22⋊Q8—34no—
921C22⋊Q8—34no—
922C22⋊Q8—34no—
923C22⋊Q8—34no—
924C22⋊Q8—38no—
925C22⋊Q8—38no—
926C22⋊Q8—38no—
927C22⋊Q8—38no—
928C22⋊Q8—34no—
929C22⋊Q8—32no—
930C22⋊Q8—34no—
931C22⋊Q8—32no—
932C22⋊Q8—34no—
933C22⋊Q8—34no—
934C22⋊Q8—34no—
935C22⋊Q8—38no—
936C22⋊Q8—38no—
937C22⋊Q8—38no—
938C22⋊Q8—38no—
939C22⋊Q8—32no—
940C22⋊Q8—32no—
941C22⋊Q8—34no—
942C22⋊Q8—34no—
943C22⋊Q8—34no—
944C22⋊Q8—38no—
945C22⋊Q8—38no—
946C22⋊Q8—38no—
947C22⋊Q8—38no—
948C22⋊Q8—38no—
949C22⋊Q8—38no—
950C22⋊Q8—38no—
951C22⋊Q8—38no—
952C22⋊Q8—38no—
953C22⋊Q8—38no—
954C22⋊Q8—34no—
955C22⋊Q8—38no—
956C22⋊Q8—34no—
957C22⋊Q8C22×D314yes—
958C22⋊Q8C22×D314yes—
959C22⋊Q8C22×D314yes—
960C22⋊Q8C22×D314yes—
961C22⋊Q8C22×D318yes—
962C22⋊Q8C22×D318yes—
963#121—34no—
964#121—34no—
965#121—34no—
966#121—32no—
967#121—34no—
968#121—32no—
969#121—34no—
970#121—38no—
971#121—34no—
972#121—34no—
973#121—32no—
974#121—34no—
975#121—34no—
976#121—32no—
977#121—34no—
978#121—34no—
979#121—38no—
980#121—34no—
981#121—38no—
982#121—38no—
983#121—38no—
984#121—34no—
985#121—34no—
986#121—38no—
987#121—38no—
988#120—34no—
989#120—34no—
990#120—38no—
991C4×Q8—32no—
992C4×Q8—32no—
993C4×Q8—34no—
994C4×Q8—38no—
995C4×Q8—38no—
996C4×Q8—34no—
997C4×Q8—34no—
998C4×Q8—34no—
999C4×Q8—34no—
1000C4×D4—32no—
1001C4×D4—32no—
1002C4×D4—32no—
1003C4×D4—32no—
1004C4×D4—34no—
1005C4×D4—34no—
1006C4×D4—34no—
1007C4×D4—38no—
1008C4×D4—38no—
1009C4×D4—34no—
1010C4×D4—38no—
1011C4×D4—34no—
1012C4×D4—34no—
1013C4×D4—32no—
1014C4×D4—32no—
1015C4×D4—34no—
1016C4×D4—34no—
1017C4×D4—38no—
1018C4×D4—34no—
1019C4×D4—38no—
1020C4×D4—38no—
1021C4×D4—38no—
1022C4×D4—34no—
1023C4×D4—34no—
1024C4×D4—38no—
1025C4×D4—34no—
1026C4×D4—34no—
1027C4×D4—34no—
1028C4×D4—34no—
1029C4×D4—34no—
1030C4×D4—34no—
1031C4×D4—38no—
1032#117—32no—
1033#117—34no—
1034#117—34no—
1035#117—32no—
1036#117—32no—
1037#117—34no—
1038#117—34no—
1039#117—34no—
1040#117—34no—
1041#117—38no—
1042#117—34no—
1043#117—34no—
1044#117—34no—
1045#117—34no—
1046#117—34no—
1047#117—38no—
1048#117C22×D312yes—
1049#117C22×D312yes—
1050#117C22×D314yes—
1051#117C22×D314yes—
1052#117C22×D312yes—
1053#117C22×D312yes—
1054C2×C4⋊C4—31no—
1055C2×C4⋊C4—32no—
1056C2×C4⋊C4—31no—
1057C2×C4⋊C4—32no—
1058C2×C4⋊C4—34no—
1059C2×C4⋊C4—34no—
1060C2×C4⋊C4—32no—
1061C2×C4⋊C4—32no—
1062C2×C4⋊C4—34no—
1063C2×C4⋊C4—34no—
1064C2×C4⋊C4—34no—
1065C2×C4⋊C4—34no—
1066C2×C4⋊C4—38no—
1067C2×C4⋊C4—38no—
1068C2×C4⋊C4—38no—
1069C2×C4⋊C4C22×D311yescharacteristic
1070C2×C4⋊C4C22×D311yescharacteristic
1071C2×C4⋊C4C22×D312yes—
1072C2×C4⋊C4C22×D314yes—
1073C2×C4⋊C4C22×D314yes—
1074C2×C4⋊C4C22×D312yes—
1075C2×C4⋊C4C22×D312yes—
1076C2×C4⋊C4C22×D314yes—
1077C2×C4⋊C4C22×D318yes—
1078C2×C22⋊C4—31no—
1079C2×C22⋊C4—32no—
1080C2×C22⋊C4—31no—
1081C2×C22⋊C4—32no—
1082C2×C22⋊C4—32no—
1083C2×C22⋊C4—34no—
1084C2×C22⋊C4—38no—
1085C2×C22⋊C4C22×D314yes—
1086C2×C42—31no—
1087C2×C42—34no—
1088C2×C42—34no—
1089C2×C42C22×D314yes—
1090C23×C3—22no—
1091C23×C3—22no—
1092C23×C3—41no—
1093C23×C3C2511yescharacteristic
1094C23×C3C2511yescharacteristic
1095C23×C3C2511yescharacteristic
1096C22×D3—22no—
1097C22×D3—24no—
1098C22×D3—22no—
1099C22×D3—41no—
1100C22×D3—42no—
1101C22×D3—42no—
1102C22×D3C2514yes—
1103C22×D3C2511yescharacteristic
1104C22×D3C2514yes—
1105C22×D3C2511yescharacteristic
1106C3×Q8—48no—
1107C3×Q8—44no—
1108C3×Q8—44no—
1109C2×C3×C4—28no—
1110C2×C3×C4—28no—
1111C2×C3×C4—22no—
1112C2×C3×C4—24no—
1113C2×C3×C4—24no—
1114C2×C3×C4—42no—
1115C2×C3×C4—42no—
1116C2×C3×C4—44no—
1117C2×C3×C4—44no—
1118C2×C3×C42−1+414yescomplemented
1119C2×C3×C4C2514yes—
1120C2×C3×C4C2514yes—
1121C2×C3×C4C2514yes—
1122C2×C3×C4C2514yes—
1123C2×C3×C4C2512yes—
1124C2×C3×C4C2514yes—
1125C2×C3×C4C2514yes—
1126C2×C3×C4C2512yes—
1127#67—28no—
1128#67—28no—
1129#67—22no—
1130#67—28no—
1131#67—22no—
1132#67—22no—
1133#67—44no—
1134#67—44no—
1135#67H(5,𝔽2)14yes—
1136C2×Dic3—22no—
1137C2×Dic3—22no—
1138C2×Dic3—42no—
1139C2×Dic3—41no—
1140C2×Dic3C2514yes—
1141C2×Dic3C2512yes—
1142C2×Dic3C2514yes—
1143C2×Dic3C2512yes—
1144C2×Dic3C2514yes—
1145C2×Dic3C2511yescharacteristic
1146C2×Dic3C2514yes—
1147C2×Dic3C2511yescharacteristic
1148D12—28no—
1149D12—28no—
1150D12—28no—
1151D12—24no—
1152D12—44no—
1153D12—44no—
1154D12—48no—
1155D12—48no—
1156D12—44no—
1157C4×D3—28no—
1158C4×D3—28no—
1159C4×D3—24no—
1160C4×D3—24no—
1161C4×D3—28no—
1162C4×D3—28no—
1163C4×D3—28no—
1164C4×D3—44no—
1165C4×D3—44no—
1166C4×D3—44no—
1167C4×D3—48no—
1168C4×D3—44no—
1169C4×D3—48no—
1170C4×D3—48no—
1171C4×D3—48no—
1172Dic6—24no—
1173Dic6—28no—
1174Dic6—28no—
1175Dic6—44no—
1176Dic6—44no—
1177Dic6—44no—
1178Dic6—48no—
1179C24—31no—
1180C24—32no—
1181C24C23×D311yescharacteristic
1182#41—616no—
1183#41—616no—
1184#41—68no—
1185#41—128no—
1186#41—128no—
1187#41—1216no—
1188#41—128no—
1189#41—128no—
1190#41—128no—
1191#41—128no—
1192#41—1216no—
1193C2×Q8—32no—
1194C2×Q8—34no—
1195C2×Q8—34no—
1196C2×Q8—34no—
1197C2×Q8—34no—
1198C2×Q8—34no—
1199C2×Q8—38no—
1200C2×Q8—48no—
1201C2×Q8—124no—
1202C2×Q8—128no—
1203C2×Q8—128no—
1204C2×Q8—1216no—
1205C2×Q8C23×D314yes—
1206C2×Q8C23×D314yes—
1207C2×Q8C23×D318yes—
1208C2×D4—31no—
1209C2×D4—34no—
1210C2×D4—34no—
1211C2×D4—31no—
1212C2×D4—31no—
1213C2×D4—34no—
1214C2×D4—31no—
1215C2×D4—34no—
1216C2×D4—34no—
1217C2×D4—34no—
1218C2×D4—32no—
1219C2×D4—34no—
1220C2×D4—34no—
1221C2×D4—34no—
1222C2×D4—38no—
1223C2×D4—38no—
1224C2×D4—34no—
1225C2×D4—34no—
1226C2×D4—64no—
1227C2×D4—64no—
1228C2×D4—124no—
1229C2×D4—124no—
1230C22×C4—24no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—32no—
1235C22×C4—32no—
1236C22×C4—34no—
1237C22×C4—34no—
1238C22×C4—34no—
1239C22×C4—34no—
1240C22×C4—32no—
1241C22×C4—34no—
1242C22×C4—34no—
1243C22×C4—34no—
1244C22×C4—38no—
1245C22×C4—38no—
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×D314yes—
1260C22×C4C23×D312yes—
1261C22×C4C23×D312yes—
1262C22×C4C23×D314yes—
1263C22×C4C23×D311yescharacteristic
1264C4⋊C4—34no—
1265C4⋊C4—32no—
1266C4⋊C4—38no—
1267C4⋊C4—34no—
1268C4⋊C4—34no—
1269C4⋊C4—38no—
1270C4⋊C4—38no—
1271C4⋊C4—34no—
1272C4⋊C4—34no—
1273C4⋊C4—34no—
1274C4⋊C4—38no—
1275C4⋊C4—32no—
1276C4⋊C4—32no—
1277C4⋊C4—34no—
1278C4⋊C4—34no—
1279C4⋊C4—38no—
1280C4⋊C4—32no—
1281C4⋊C4—38no—
1282C4⋊C4—38no—
1283C4⋊C4—38no—
1284C4⋊C4—34no—
1285C4⋊C4—34no—
1286C4⋊C4—34no—
1287C4⋊C4—34no—
1288C4⋊C4—34no—
1289C4⋊C4—34no—
1290C4⋊C4—34no—
1291C4⋊C4—34no—
1292C4⋊C4—34no—
1293C4⋊C4C23×D314yes—
1294C4⋊C4C23×D312yes—
1295C4⋊C4C23×D314yes—
1296C4⋊C4C23×D312yes—
1297C4⋊C4C23×D312yes—
1298C4⋊C4C23×D314yes—
1299C4⋊C4C23×D314yes—
1300C4⋊C4C23×D318yes—
1301C4⋊C4C23×D318yes—
1302C4⋊C4C23×D318yes—
1303C4⋊C4C23×D318yes—
1304C4⋊C4C23×D312yes—
1305C4⋊C4C23×D318yes—
1306C4⋊C4C23×D314yes—
1307C4⋊C4C23×D314yes—
1308C4⋊C4C23×D318yes—
1309C22⋊C4—34no—
1310C22⋊C4—32no—
1311C22⋊C4—32no—
1312C22⋊C4—34no—
1313C22⋊C4—34no—
1314C22⋊C4—32no—
1315C22⋊C4—34no—
1316C22⋊C4—34no—
1317C22⋊C4—38no—
1318C22⋊C4—38no—
1319C22⋊C4—38no—
1320C22⋊C4—38no—
1321C22⋊C4—38no—
1322C22⋊C4—32no—
1323C22⋊C4—34no—
1324C22⋊C4—38no—
1325C22⋊C4—38no—
1326C22⋊C4—34no—
1327C22⋊C4—38no—
1328C22⋊C4—38no—
1329C22⋊C4—34no—
1330C22⋊C4—34no—
1331C22⋊C4—34no—
1332C22⋊C4—34no—
1333C22⋊C4—38no—
1334C22⋊C4—34no—
1335C22⋊C4—34no—
1336C22⋊C4C23×D314yes—
1337C22⋊C4C23×D314yes—
1338C22⋊C4C23×D314yes—
1339C22⋊C4C23×D314yes—
1340C42—32no—
1341C42—34no—
1342C42—32no—
1343C42—34no—
1344C42—34no—
1345C42—34no—
1346C42—34no—
1347C42—38no—
1348C42—38no—
1349C42C23×D314yes—
1350C42C23×D314yes—
1351C42C23×D314yes—
1352C42C23×D314yes—
1353C22×C3—21no—
1354C22×C3—21no—
1355C22×C3—21no—
1356C22×C3—21no—
1357C22×C3—21no—
1358C22×C3—21no—
1359C22×C3—21no—
1360C22×C3—44no—
1361C22×C3C2×H(5,𝔽2)12yes—
1362C22×C3C2×2−1+412yes—
1363C22×C3C2611yescharacteristic
1364C2×D3—21no—
1365C2×D3—21no—
1366C2×D3—24no—
1367C2×D3—24no—
1368C2×D3—21no—
1369C2×D3—21no—
1370C2×D3—24no—
1371C2×D3—24no—
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—24no—
1382C3×C4—22no—
1383C3×C4—24no—
1384C3×C4—24no—
1385C3×C4C2×2−1+414yes—
1386Dic3—24no—
1387Dic3—24no—
1388Dic3—21no—
1389Dic3—24no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—24no—
1393Dic3C2×H(5,𝔽2)12yes—
1394C23—22no—
1395C23—22no—
1396C23—31no—
1397C23—31no—
1398C23—34no—
1399C23—34no—
1400C23—41no—
1401C23—62no—
1402C23—62no—
1403C23—64no—
1404C23—121no—
1405C23—122no—
1406C23—122no—
1407C23C24×D311yescharacteristic
1408C23C24×D311yescharacteristic
1409C23C24×D311yescharacteristic
1410Q8—44no—
1411Q8—44no—
1412Q8—48no—
1413Q8—68no—
1414Q8—68no—
1415Q8—64no—
1416Q8—124no—
1417Q8—128no—
1418Q8—124no—
1419Q8—124no—
1420D4—34no—
1421D4—68no—
1422D4—68no—
1423D4—62no—
1424D4—62no—
1425D4—68no—
1426D4—62no—
1427D4—68no—
1428D4—68no—
1429D4—68no—
1430D4—64no—
1431D4—124no—
1432D4—124no—
1433D4—128no—
1434D4—128no—
1435D4—124no—
1436D4—124no—
1437D4—124no—
1438C2×C4—22no—
1439C2×C4—28no—
1440C2×C4—28no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—31no—
1444C2×C4—34no—
1445C2×C4—32no—
1446C2×C4—32no—
1447C2×C4—34no—
1448C2×C4—34no—
1449C2×C4—31no—
1450C2×C4—34no—
1451C2×C4—42no—
1452C2×C4—42no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—68no—
1456C2×C4—68no—
1457C2×C4—68no—
1458C2×C4—68no—
1459C2×C4—62no—
1460C2×C4—62no—
1461C2×C4—64no—
1462C2×C4—64no—
1463C2×C4—68no—
1464C2×C4—124no—
1465C2×C4—124no—
1466C2×C4—128no—
1467C2×C4—128no—
1468C2×C4—128no—
1469C2×C4—124no—
1470C2×C4—124no—
1471C2×C4—128no—
1472C2×C4—122no—
1473C2×C4—121no—
1474C2×C4#100714yescomplemented
1475C2×C4C24×D314yes—
1476C2×C4C24×D314yes—
1477C2×C4C24×D314yes—
1478C2×C4C24×D314yes—
1479C2×C4C24×D312yes—
1480C2×C4C24×D314yes—
1481C2×C4C24×D314yes—
1482C2×C4C24×D312yes—
1483C2×C3—22no—
1484C2×C3—22no—
1485C2×C3—41no—
1486C2×C3C22×H(5,𝔽2)11yescharacteristic
1487C2×C3C22×2−1+411yescharacteristic
1488C2×C32−1+611yescharacteristic
1489D3—22no—
1490D3—44no—
1491D3—41no—
1492D3—44no—
1493C22—21no—
1494C22—21no—
1495C22—21no—
1496C22—21no—
1497C22—21no—
1498C22—21no—
1499C22—21no—
1500C22—32no—
1501C22—44no—
1502C22—61no—
1503C22—61no—
1504C22—61no—
1505C22—64no—
1506C22—64no—
1507C22—64no—
1508C22—64no—
1509C22—61no—
1510C22—64no—
1511C22—64no—
1512C22—61no—
1513C22—124no—
1514C22—244no—
1515C22C2×#100712yes—
1516C22D3×H(5,𝔽2)12yes—
1517C22C25×D311yescharacteristic
1518C4—22no—
1519C4—24no—
1520C4—24no—
1521C4—24no—
1522C4—24no—
1523C4—24no—
1524C4—24no—
1525C4—32no—
1526C4—62no—
1527C4—64no—
1528C4—61no—
1529C4—64no—
1530C4—64no—
1531C4—64no—
1532C4—62no—
1533C4C2×#100714yes—
1534C3#6291511yescharacteristic, complemented, Sylow
1535C2—22no—
1536C2—22no—
1537C2—41no—
1538C2—62no—
1539C2—121no—
1540C2—124no—
1541C2—124no—
1542C2C22×#100711yescharacteristic
1543C2C2×D3×H(5,𝔽2)11yescharacteristic
1544C2#8757111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC2×C3×#544C2
hypercenterC2×#544D3
hypocenterC3#62915
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
1. C2×C3×#544C2semidirect
2. #86603C2semidirect
3. #86602C2semidirect
4. #86601C2semidirect
5. #86600C2semidirect
6. #86599C2semidirect
7. #86597C2semidirect
8. #86596C2semidirect
9. D3×#544C2semidirect
10. #86589C2semidirect
11. #86588C2semidirect
12. #86586C2semidirect
13. #86582C2semidirect
14. #86217C2semidirect
15. #86214C2semidirect
16. #86103C2semidirect
17. #86099C2semidirect
18. #85989C2semidirect
19. #85985C2semidirect
20. #85747C2semidirect
21. #85744C2semidirect
22. #85718C2semidirect
23. C2×#5507C2semidirect
25. C2×#1007C22semidirect
31. C3×#544C22semidirect
32. C3×#544C22semidirect
33. C2×C3×C4⋊Q8C22semidirect
34. C2×C3×#125C22semidirect
38. #5816C22semidirect
39. #5816C22semidirect
45. #5735C22semidirect
46. #5735C22semidirect
47. #5734C22semidirect
48. #5733C22semidirect
49. #5733C22semidirect
50. #5733C22semidirect
51. #5730C22semidirect
52. #5730C22semidirect
53. #5729C22semidirect
54. #5729C22semidirect
55. #5729C22semidirect
56. #5727C22semidirect
57. #5727C22semidirect
58. #5727C22semidirect
59. #5726C22semidirect
60. #5726C22semidirect
61. #5726C22semidirect
62. #5725C22semidirect
63. #5725C22semidirect
64. #5724C22semidirect
65. #5724C22semidirect
66. D3×C4⋊Q8C22semidirect
67. D3×C4⋊Q8C22semidirect
68. #5722C22semidirect
69. #5700C22semidirect
70. #5699C22semidirect
71. #5697C22semidirect
72. #5697C22semidirect
73. #5696C22semidirect
74. #5695C22semidirect
75. #5695C22semidirect
76. #5695C22semidirect
77. #5694C22semidirect
78. #5693C22semidirect
79. #5693C22semidirect
80. #5692C22semidirect
81. #5692C22semidirect
82. #5692C22semidirect
83. #5691C22semidirect
84. #5691C22semidirect
85. #5690C22semidirect
86. #5690C22semidirect
87. #5690C22semidirect
88. #5689C22semidirect
89. #5689C22semidirect
90. #5688C22semidirect
91. D3×#125C22semidirect
92. #5685C22semidirect
93. #5647C22semidirect
94. #5646C22semidirect
97. #5640C22semidirect
98. #5638C22semidirect
102. #5633C22semidirect
104. #5631C22semidirect
106. #5629C22semidirect
107. #5629C22semidirect
108. #5628C22semidirect
109. #5628C22semidirect
115. #5535C22semidirect
116. #5534C22semidirect
117. #5533C22semidirect
118. #5532C22semidirect
119. #5532C22semidirect
121. #5530C22semidirect
122. #5530C22semidirect
123. #5529C22semidirect
124. #5528C22semidirect
125. #5528C22semidirect
137. #5515C22semidirect
138. #5514C22semidirect
139. #5514C22semidirect
140. #5514C22semidirect
141. #5513C22semidirect
142. #5513C22semidirect
143. #5513C22semidirect
144. #5511C22semidirect
145. #5511C22semidirect
147. #5510C22semidirect
153. #5507C22semidirect
154. #5507C22semidirect
155. #5507C22semidirect
156. #5507C22semidirect
157. #5507C22semidirect
158. #5507C22semidirect
162. #5504C22semidirect
170. #5479C22semidirect
171. #5479C22semidirect
172. #5477C22semidirect
173. C4×#235C22semidirect
196. C2×#544D3semidirect
558. #544C2×D3semidirect
559. #544C2×D3semidirect
597. C2×C4⋊Q8C2×D3semidirect
605. C2×#125C2×D3semidirect
1118. C2×C3×C42−1+4semidirect
1474. C2×C4#1007semidirect
1534. C3#62915semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5442
#866032
#866022
#866012
#866002
#865992
#865972
#865962
D3×#5442
#865892
#865882
#865862
#865822
#862172
#862142
#861032
#860992
#859892
#859852
#857472
#857442
#857182
C2×#55072
#629153