Finite Group Databasebeta

← #7719967

Subgroups — #7719967

Order 512.

4120 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51793C214yesmaximal
2#51788C214yesmaximal
3#51221C214yesmaximal, complemented
4#50908C214yesmaximal, complemented
5#45413C212yesmaximal
6#45395C212yesmaximal, complemented
7#45280C212yesmaximal, complemented
8#45279C212yesmaximal, complemented
9#45273C212yesmaximal
10#45121C212yesmaximal
11#44997C212yesmaximal
12#44949C212yesmaximal, complemented
13#39753C211yesmaximal, characteristic, complemented
14#39750C212yesmaximal, complemented
15#39626C211yesmaximal, characteristic, complemented
16#39626C212yesmaximal, complemented
17#39183C212yesmaximal, complemented
18#39183C211yesmaximal, characteristic, complemented
19#39181C211yesmaximal, characteristic, complemented
20#39177C212yesmaximal, complemented
21#37427C212yesmaximal
22#37311C212yesmaximal
23#36598C211yesmaximal, characteristic, complemented
24Q8×#125C211yesmaximal, characteristic, complemented
25#36535C211yesmaximal, characteristic, complemented
26#36447C211yesmaximal, characteristic, complemented
27#35337C212yesmaximal
28#35294C211yesmaximal, characteristic
29#35282C212yesmaximal
30#35239C211yesmaximal, characteristic
31#35181C211yesmaximal, characteristic
32#34625C211yesmaximal, characteristic
33#34374C211yesmaximal, characteristic
34#34373C211yesmaximal, characteristic
35#34145C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37#2868C2211yescharacteristic
38#2864C2212yes—
39#2862C2212yes—
40#2859C2212yes—
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2809C2214yes—
50#2806C2214yes—
51#2806C2214yes—
52#2806C2214yes—
53#2802C2214yes—
54#2802C2214yes—
55#2802C2214yes—
56#2802C2214yes—
57#2799C2214yes—
58#2799C2214yes—
59#2799C2214yes—
60#2792C2214yes—
61#2792C2214yes—
62#2792C2214yes—
63#2792C2214yes—
64#2791C2214yes—
65#2791C2214yes—
66#2791C2214yes—
67#2791C2214yes—
68#2791C2214yes—
69#2791C2214yes—
70#2791C2214yes—
71#2791C2214yes—
72#2791C2214yes—
73#2790C2214yes—
74#2790C2214yes—
75#2790C2214yes—
76#2790C2214yes—
77#2788C2214yes—
78#2774C2214yes—
79#2774C2214yes—
80#2768C2214yes—
81#2755C2214yes—
82#2755C2214yes—
83#2755C2214yes—
84#2729C2214yes—
85#2720C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2713C2214yes—
89#2667C2212yes—
90#2666C2212yes—
91#2666C2214yes—
92#2666C2212yes—
93#2665C2212yes—
94#2660C2211yescharacteristic
95#2660C2211yescharacteristic
96#2660C2212yes—
97#2660C2212yes—
98#2647C2212yes—
99#2647C2212yes—
100#2647C2211yescharacteristic
101#2647C2211yescharacteristic
102#2646C2214yes—
103#2629C2211yescharacteristic
104#2629C2212yes—
105#2629C2211yescharacteristic
106#2628C2211yescharacteristic
107#2628C2212yes—
108#2628C2211yescharacteristic
109#2590C2214yes—
110#2590C2214yes—
111#2589C2214yes—
112#2589C2214yes—
113#2589C2214yes—
114#2589C2214yes—
115#2588C2214yes—
116#2588C2214yes—
117#2588C2214yes—
118#2588C2214yes—
119#2588C2214yes—
120#2588C2214yes—
121#2588C2214yes—
122#2586C2214yes—
123#2585C2214yes—
124#2585C2214yes—
125#2582C2214yes—
126#2582C2212yes—
127#2582C2212yes—
128#2581C2212yes—
129#2581C2212yes—
130#2574C2214yes—
131#2571C2212yes—
132#2571C2211yescharacteristic
133#2571C2212yes—
134#2571C2211yescharacteristic
135#2571C2211yescharacteristic
136#2570C2212yes—
137#2570C2212yes—
138#2570C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2570C2212yes—
142#2570C2212yes—
143#2570C2214yes—
144#2570C2212yes—
145#2570C2212yes—
146#2570C2212yes—
147#2570C2212yes—
148#2568C2212yes—
149#2567C2212yes—
150#2567C2214yes—
151#2565C2212yes—
152#2565C2214yes—
153#2565C2212yes—
154#2565C2212yes—
155#2556C2214yes—
156#2552C2212yes—
157#2552C2212yes—
158#2552C2212yes—
159#2552C2211yescharacteristic
160#2552C2212yes—
161#2552C2214yes—
162#2552C2212yes—
163#2552C2211yescharacteristic
164#2552C2212yes—
165#2552C2212yes—
166#2552C2212yes—
167#2552C2211yescharacteristic
168#2552C2211yescharacteristic
169#2551C2211yescharacteristic
170#2551C2212yes—
171#2550C2212yes—
172#2550C2212yes—
173#2550C2212yes—
174#2550C2212yes—
175#2550C2212yes—
176#2550C2212yes—
177#2546C2212yes—
178#2522C2214yes—
179#2520C2214yes—
180#2520C2214yes—
181#2520C2214yes—
182#2520C2214yes—
183#2511C2214yes—
184#2511C2214yes—
185#2509C2212yes—
186#2509C2214yes—
187#2509C2212yes—
188#2508C2214yes—
189#2508C2212yes—
190#2507C2214yes—
191#2507C2214yes—
192#2507C2212yes—
193#2507C2214yes—
194#2507C2212yes—
195#2507C2212yes—
196#2506C2212yes—
197#2506C2214yes—
198#2506C2212yes—
199#2465C2214yes—
200#2462C2214yes—
201#2453C2214yes—
202#2453C2212yes—
203#2451C2212yes—
204#2451C2212yes—
205#2451C2214yes—
206#2451C2212yes—
207#2446C2214yes—
208#2442C2212yes—
209#2441C2212yes—
210#2441C2212yes—
211#2440C2212yes—
212#2439C2212yes—
213#2439C2212yes—
214#2438C2214yes—
215#2402C2212yes—
216#2399C2212yes—
217#2396C2212yes—
218#2396C2212yes—
219#2382C2214yes—
220#2378C2214yes—
221#2370C2212yes—
222#2370C2212yes—
223#2370C2212yes—
224#2369C2211yescharacteristic
225#2369C2211yescharacteristic
226#2368C2212yes—
227#2368C2212yes—
228#2365C2212yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2360C2211yescharacteristic
236#2360C2211yescharacteristic
237#2360C2211yescharacteristic
238#2360C2211yescharacteristic
239#2355C2212yes—
240#2355C2212yes—
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2211yescharacteristic
244#2355C2212yes—
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2212yes—
257#2336C2214yes—
258#2331C2212yes—
259#2331C2212yes—
260#2331C2212yes—
261#2331C2212yes—
262#2331C2212yes—
263#2331C2212yes—
264#2330C2212yes—
265#2330C2212yes—
266#2330C2212yes—
267#2327C2212yes—
268#2323C2212yes—
269#2323C2214yes—
270#2323C2212yes—
271#2317C2212yes—
272#2317C2212yes—
273#2314C2212yes—
274#2314C2212yes—
275#2314C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×#125C2212yes—
281C4×#125C2212yes—
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285#2296C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#533Q8116yescomplemented
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2314yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×#117C2311yescharacteristic
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2311yescharacteristic
345C2×#117C2312yes—
346C2×#117C2312yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C42C2312yes—
350C22×C42C2311yescharacteristic
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#399C2312yes—
377#399C2314yes—
378#399C2312yes—
379#398C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#396C2312yes—
430#396C2312yes—
431#396C2312yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#395C2312yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2312yes—
446#395C2312yes—
447#395C2312yes—
448#395C2312yes—
449#395C2312yes—
450#395C2314yes—
451#395C2314yes—
452#393C2314yes—
453#393C2312yes—
454#393C2312yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2314yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2314yes—
676#384C2314yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2314yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2314yes—
693#384C2314yes—
694#383C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#381C2312yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806C2×#95C2312yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2311yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2414yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C4⋊Q8—24no—
824C4⋊Q8—28no—
825C4⋊Q8—44no—
826C4⋊Q8—42no—
827C4⋊Q8—44no—
828C4⋊Q8—44no—
829C4⋊Q8—84no—
830C4⋊Q8—82no—
831C4⋊Q8C2×Q818yes—
832C4⋊Q8C2×Q818yes—
833#125—24no—
834#125—44no—
835#125—44no—
836#125—44no—
837#125—44no—
838#125—42no—
839#125—44no—
840#125—44no—
841#125—84no—
842#125—82no—
843#125—84no—
844#125C2×Q8116yes—
845C22⋊Q8—84no—
846C22⋊Q8C2×Q818yes—
847C22⋊Q8C2×Q818yes—
848C22⋊Q8C2×Q8116yes—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×Q8—42no—
854C4×Q8—42no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×Q8—42no—
858C4×Q8—42no—
859C4×Q8—84no—
860C4×Q8—84no—
861C4×Q8C2×Q818yes—
862C4×Q8C2×Q818yes—
863C4×Q8C2×Q8116yes—
864#117—24no—
865#117—44no—
866#117—42no—
867#117—44no—
868#117—82no—
869#117C2×Q8116yes—
870C2×C4⋊C4—42no—
871C2×C4⋊C4—42no—
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C42—44no—
988C2×C42C2×Q818yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2412yes—
1040#95C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2412yes—
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125C24C2511yescharacteristic
1126C2×Q8—24no—
1127C2×Q8—28no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8C22×Q814yes—
1145C2×Q8C22×Q814yes—
1146C2×Q8C22×Q818yes—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4C22×Q814yes—
1160C22×C4C22×Q814yes—
1161C22×C4C22×Q814yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2511yescharacteristic
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2514yes—
1168C22×C4C2514yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2511yescharacteristic
1177C22×C4C2514yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—28no—
1203C4⋊C4—24no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—42no—
1233C4⋊C4—44no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4C22×Q818yes—
1291C4⋊C4C22×Q818yes—
1292C4⋊C4C22×Q818yes—
1293C4⋊C4C22×Q818yes—
1294C4⋊C4C22×Q818yes—
1295C4⋊C4C22×Q818yes—
1296C4⋊C4C22×Q818yes—
1297C4⋊C4C22×Q814yes—
1298C4⋊C4C22×Q814yes—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4C22×Q818yes—
1310C22⋊C4C22×Q818yes—
1311C42—22no—
1312C42—24no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—24no—
1321C42—24no—
1322C42—22no—
1323C42—22no—
1324C42—42no—
1325C42—42no—
1326C42—42no—
1327C42—44no—
1328C42—41no—
1329C42—42no—
1330C42—41no—
1331C42—44no—
1332C42—44no—
1333C42—42no—
1334C42—42no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—42no—
1340C42—42no—
1341C42—42no—
1342C42—44no—
1343C42—44no—
1344C42—44no—
1345C42—42no—
1346C42—41no—
1347C42—41no—
1348C42C22×Q814yes—
1349C42C22×Q814yes—
1350C42C22×Q814yes—
1351C42C22×Q814yes—
1352C42C22×Q818yes—
1353C42C22×Q818yes—
1354C422−1+414yes—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23C23×Q812yes—
1362C23C2611yescharacteristic
1363Q8—28no—
1364Q8—28no—
1365Q8—48no—
1366Q8—84no—
1367Q8—88no—
1368Q8—84no—
1369Q8—164no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—21no—
1380C2×C4—22no—
1381C2×C4—21no—
1382C2×C4—22no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—28no—
1391C2×C4—28no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—21no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—44no—
1459C2×C4—84no—
1460C2×C4—84no—
1461C2×C4C23×Q812yes—
1462C2×C4C23×Q812yes—
1463C2×C4C23×Q812yes—
1464C2×C4C23×Q812yes—
1465C2×C4C23×Q814yes—
1466C2×C4C23×Q814yes—
1467C2×C4C23×Q814yes—
1468C2×C4C23×Q814yes—
1469C2×C4C23×Q812yes—
1470C2×C4C23×Q812yes—
1471C2×C4C2×2−1+412yes—
1472C2×C4C2×2−1+412yes—
1473C2×C4C2×2−1+412yes—
1474C2×C4#58512yes—
1475C2×C4#58512yes—
1476C2×C4#58512yes—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22C24×Q811yescharacteristic
1485C22C22×2−1+411yescharacteristic
1486C22C2×#58511yescharacteristic
1487C22C2×#58511yescharacteristic
1488C22C2×#58511yescharacteristic
1489C22H(7,𝔽2)11yescharacteristic
1490C222−1+611yescharacteristic
1491C4—22no—
1492C4—22no—
1493C4—24no—
1494C4—24no—
1495C4—22no—
1496C4—22no—
1497C4—24no—
1498C4—24no—
1499C4—22no—
1500C4—22no—
1501C4—41no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—41no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—41no—
1511C4—42no—
1512C4—44no—
1513C4—41no—
1514C4—42no—
1515C4—44no—
1516C4—44no—
1517C4—42no—
1518C4—41no—
1519C4—41no—
1520C4—44no—
1521C4—42no—
1522C4—42no—
1523C4#350214yes—
1524C4#350414yes—
1525C2—42no—
1526C2C2×#350211yescharacteristic
1527C2C2×#350411yescharacteristic
1528C2#6285411yescharacteristic
1529C2#6293211yescharacteristic
1530C2#6293711yescharacteristic
1531C2#6296211yescharacteristic
1532C2#6296711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #51221C2semidirect
4. #50908C2semidirect
6. #45395C2semidirect
7. #45280C2semidirect
8. #45279C2semidirect
12. #44949C2semidirect
13. #39753C2semidirect
14. #39750C2semidirect
15. #39626C2semidirect
16. #39626C2semidirect
17. #39183C2semidirect
18. #39183C2semidirect
19. #39181C2semidirect
20. #39177C2semidirect
23. #36598C2semidirect
24. Q8×#125C2semidirect
25. #36535C2semidirect
26. #36447C2semidirect
299. #533Q8semidirect

Maximal subgroups

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

subgroupindex
#517932
#517882
#512212
#509082
#454132
#453952
#452802
#452792
#452732
#451212
#449972
#449492
#397532
#397502
#396262
#391832
#391812
#391772
#374272
#373112
#365982
Q8×#1252
#365352
#364472
#353372
#352942
#352822
#352392
#351812
#346252
#343742
#343732
#341452