Finite Group Databasebeta

← #7657357

Subgroups — #7657357

Order 512.

4148 conjugacy classes of subgroups.

The subgroup lattice has 1535 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42823C212yesmaximal, complemented
2#42819C212yesmaximal, complemented
3#42816C212yesmaximal
4#42816C212yesmaximal
5#42185C214yesmaximal, complemented
6#42002C214yesmaximal, complemented
7#40629C214yesmaximal
8#40625C214yesmaximal
9#39754C211yesmaximal, characteristic, complemented
10#39749C212yesmaximal, complemented
11#39625C211yesmaximal, characteristic, complemented
12#39622C212yesmaximal, complemented
13#39183C211yesmaximal, characteristic, complemented
14#39180C211yesmaximal, characteristic, complemented
15#39177C212yesmaximal, complemented
16#39176C212yesmaximal, complemented
17#37643C211yesmaximal, characteristic
18#37624C212yesmaximal
19#37624C211yesmaximal, characteristic
20#37565C212yesmaximal
21#36600C211yesmaximal, characteristic, complemented
22#36563C211yesmaximal, characteristic, complemented
23#36535C211yesmaximal, characteristic, complemented
24#36497C211yesmaximal, characteristic, complemented
25#35972C212yesmaximal, complemented
26#35936C212yesmaximal, complemented
27#35843C212yesmaximal
28#35708C212yesmaximal
29#35345C212yesmaximal
30#35294C211yesmaximal, characteristic
31#34625C212yesmaximal
32#34625C211yesmaximal, characteristic
33#34196C211yesmaximal, characteristic
34#34187C211yesmaximal, characteristic
35Q8×#117C211yesmaximal, characteristic
36C22×C4×Q8C2211yescharacteristic
37#2868C2211yescharacteristic
38#2864C2212yes—
39#2864C2212yes—
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2845C2214yes—
46#2843C2214yes—
47#2843C2214yes—
48#2841C2214yes—
49#2841C2214yes—
50#2841C2214yes—
51#2809C2214yes—
52#2809C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2806C2214yes—
56#2806C2214yes—
57#2805C2214yes—
58#2802C2214yes—
59#2802C2214yes—
60#2802C2214yes—
61#2799C2214yes—
62#2799C2214yes—
63#2792C2214yes—
64#2792C2214yes—
65#2792C2214yes—
66#2791C2214yes—
67#2791C2214yes—
68#2774C2214yes—
69#2774C2214yes—
70#2755C2214yes—
71#2734C2214yes—
72#2726C2214yes—
73#2726C2214yes—
74#2713C2214yes—
75#2667C2214yes—
76#2667C2214yes—
77#2667C2212yes—
78#2667C2214yes—
79#2666C2212yes—
80#2666C2214yes—
81#2666C2214yes—
82#2666C2214yes—
83#2666C2214yes—
84#2666C2212yes—
85#2666C2214yes—
86#2665C2214yes—
87#2665C2214yes—
88#2665C2214yes—
89#2665C2212yes—
90#2660C2214yes—
91#2660C2211yescharacteristic
92#2660C2212yes—
93#2660C2211yescharacteristic
94#2660C2212yes—
95#2660C2212yes—
96#2647C2211yescharacteristic
97#2647C2212yes—
98#2647C2211yescharacteristic
99#2647C2212yes—
100#2647C2212yes—
101#2647C2214yes—
102#2629C2212yes—
103#2629C2212yes—
104#2629C2212yes—
105#2629C2212yes—
106#2629C2214yes—
107#2629C2211yescharacteristic
108#2629C2212yes—
109#2629C2212yes—
110#2629C2211yescharacteristic
111#2628C2211yescharacteristic
112#2628C2211yescharacteristic
113#2628C2212yes—
114#2628C2212yes—
115#2612C2214yes—
116#2612C2214yes—
117#2608C2214yes—
118#2608C2214yes—
119#2608C2214yes—
120#2608C2214yes—
121#2606C2214yes—
122#2606C2214yes—
123#2606C2214yes—
124#2606C2214yes—
125#2590C2214yes—
126#2590C2214yes—
127#2590C2214yes—
128#2590C2214yes—
129#2588C2214yes—
130#2588C2214yes—
131#2586C2214yes—
132#2586C2214yes—
133#2585C2214yes—
134#2585C2214yes—
135#2585C2214yes—
136#2585C2214yes—
137#2584C2212yes—
138#2584C2212yes—
139#2582C2212yes—
140#2582C2212yes—
141#2581C2212yes—
142#2581C2212yes—
143#2571C2212yes—
144#2571C2211yescharacteristic
145#2570C2212yes—
146#2570C2212yes—
147#2570C2212yes—
148#2570C2212yes—
149#2570C2212yes—
150#2570C2212yes—
151#2570C2212yes—
152#2570C2212yes—
153#2570C2212yes—
154#2567C2212yes—
155#2567C2212yes—
156#2565C2212yes—
157#2565C2212yes—
158#2552C2212yes—
159#2552C2212yes—
160#2552C2211yescharacteristic
161#2552C2211yescharacteristic
162#2552C2212yes—
163#2552C2212yes—
164#2552C2211yescharacteristic
165#2552C2211yescharacteristic
166#2552C2212yes—
167#2552C2211yescharacteristic
168#2552C2212yes—
169#2552C2212yes—
170#2552C2211yescharacteristic
171#2551C2212yes—
172#2551C2212yes—
173#2551C2211yescharacteristic
174#2550C2212yes—
175#2550C2212yes—
176#2550C2212yes—
177#2550C2212yes—
178#2550C2212yes—
179#2550C2212yes—
180#2550C2212yes—
181#2550C2212yes—
182#2550C2212yes—
183#2520C2214yes—
184#2520C2214yes—
185#2511C2214yes—
186#2509C2212yes—
187#2508C2212yes—
188#2507C2214yes—
189#2507C2212yes—
190#2507C2214yes—
191#2507C2214yes—
192#2506C2212yes—
193#2462C2214yes—
194#2462C2214yes—
195#2462C2214yes—
196#2462C2214yes—
197#2453C2212yes—
198#2453C2212yes—
199#2453C2212yes—
200#2453C2212yes—
201#2453C2212yes—
202#2453C2212yes—
203#2451C2214yes—
204#2451C2212yes—
205#2451C2212yes—
206#2446C2214yes—
207#2441C2212yes—
208#2441C2212yes—
209#2441C2214yes—
210#2441C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2214yes—
214#2439C2212yes—
215#2402C2212yes—
216#2402C2214yes—
217#2399C2214yes—
218#2399C2212yes—
219#2396C2212yes—
220#2396C2214yes—
221#2396C2212yes—
222#2396C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2212yes—
228#2365C2212yes—
229#2356C2214yes—
230#2356C2212yes—
231#2356C2212yes—
232#2355C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2212yes—
252#2345C2211yescharacteristic
253#2345C2211yescharacteristic
254#2345C2212yes—
255#2345C2212yes—
256#2344C2212yes—
257#2344C2214yes—
258Q8×C22⋊C4C2211yescharacteristic
259Q8×C22⋊C4C2211yescharacteristic
260Q8×C22⋊C4C2212yes—
261#2331C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2330C2212yes—
265#2330C2212yes—
266#2330C2212yes—
267#2320C2214yes—
268#2320C2212yes—
269#2313C2214yes—
270#2310C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2295C2212yes—
282#2295C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2276C2212yes—
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×#125C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×C4×Q8Q8116yescomplemented
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2314yes—
331C2×C4×Q8C2314yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2311yescharacteristic
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2314yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2311yescharacteristic
347C22×C42C2312yes—
348C22×C42C2311yescharacteristic
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2312yes—
361#400C2312yes—
362#400C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2312yes—
371#399C2314yes—
372#399C2314yes—
373#399C2312yes—
374#399C2312yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
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#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2312yes—
431#396C2312yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2312yes—
456#395C2312yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2312yes—
464#395C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2312yes—
468#393C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2314yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
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#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#384C2312yes—
652#384C2311yescharacteristic
653#384C2311yescharacteristic
654#384C2312yes—
655#384C2312yes—
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#384C2312yes—
660#384C2312yes—
661#384C2312yes—
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2314yes—
675#384C2314yes—
676#383C2314yes—
677#383C2312yes—
678#383C2314yes—
679#383C2314yes—
680#382C2311yescharacteristic
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799#376C2314yes—
800#376C2312yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2314yes—
806#376C2314yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C22×Q8—42no—
812C22×Q8—42no—
813C22×Q8C2×Q818yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C4⋊Q8—24no—
827C4⋊Q8—42no—
828C4⋊Q8—44no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—84no—
833C4⋊Q8—82no—
834#125—28no—
835#125—24no—
836#125—44no—
837#125—44no—
838#125—44no—
839#125—44no—
840#125—42no—
841#125—44no—
842#125—44no—
843#125—44no—
844#125—84no—
845#125—82no—
846#125—84no—
847C4×Q8—44no—
848C4×Q8—44no—
849C4×Q8—42no—
850C4×Q8—44no—
851C4×Q8—42no—
852C4×Q8—42no—
853C4×Q8—44no—
854C4×Q8—42no—
855C4×Q8—84no—
856C4×Q8—84no—
857C4×Q8C2×Q818yes—
858C4×Q8C2×Q818yes—
859C4×Q8C2×Q818yes—
860C4×Q8C2×Q818yes—
861C4×Q8C2×Q8116yes—
862C4×Q8C2×Q8116yes—
863#117—24no—
864#117—44no—
865#117—44no—
866#117—42no—
867#117—44no—
868#117—84no—
869#117—82no—
870C2×C4⋊C4C2×Q818yes—
871C2×C4⋊C4C2×Q8116yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C42C2×Q818yes—
988C2×C42C2×Q8116yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2412yes—
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2411yescharacteristic
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125C24C2511yescharacteristic
1126C2×Q8—24no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—42no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—44no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—416no—
1145C2×Q8C22×Q814yes—
1146C2×Q8C22×Q814yes—
1147C2×Q8C22×Q818yes—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—42no—
1153C22×C4—41no—
1154C22×C4—42no—
1155C22×C4—41no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4C22×Q814yes—
1159C22×C4C22×Q814yes—
1160C22×C4C22×Q818yes—
1161C22×C4C22×Q814yes—
1162C22×C4C22×Q818yes—
1163C22×C4C2511yescharacteristic
1164C22×C4C2512yes—
1165C22×C4C2514yes—
1166C22×C4C2511yescharacteristic
1167C22×C4C2511yescharacteristic
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2512yes—
1174C22×C4C2514yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2514yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—28no—
1200C4⋊C4—24no—
1201C4⋊C4—24no—
1202C4⋊C4—28no—
1203C4⋊C4—24no—
1204C4⋊C4—22no—
1205C4⋊C4—24no—
1206C4⋊C4—22no—
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
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—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4C22×Q818yes—
1294C4⋊C4C22×Q818yes—
1295C4⋊C4C22×Q818yes—
1296C4⋊C4C22×Q818yes—
1297C4⋊C4C22×Q818yes—
1298C4⋊C4C22×Q814yes—
1299C4⋊C4C22×Q814yes—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—41no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—41no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C42—22no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—24no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—24no—
1322C42—22no—
1323C42—24no—
1324C42—22no—
1325C42—42no—
1326C42—42no—
1327C42—44no—
1328C42—41no—
1329C42—41no—
1330C42—44no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—42no—
1336C42—42no—
1337C42—42no—
1338C42—44no—
1339C42—42no—
1340C42—44no—
1341C42—42no—
1342C42—42no—
1343C42—44no—
1344C42—41no—
1345C42—44no—
1346C42—41no—
1347C42C22×Q818yes—
1348C42C22×Q818yes—
1349C42C22×Q814yes—
1350C42C22×Q814yes—
1351C42C22×Q818yes—
1352C42C22×Q814yes—
1353C42C22×Q818yes—
1354C42C22×Q814yes—
1355C422−1+414yes—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23C23×Q812yes—
1363C23C2611yescharacteristic
1364Q8—28no—
1365Q8—28no—
1366Q8—48no—
1367Q8—48no—
1368Q8—84no—
1369Q8—88no—
1370Q8—164no—
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—21no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—21no—
1391C2×C4—28no—
1392C2×C4—28no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—21no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—48no—
1460C2×C4—44no—
1461C2×C4—48no—
1462C2×C4C23×Q812yes—
1463C2×C4C23×Q814yes—
1464C2×C4C23×Q812yes—
1465C2×C4C23×Q814yes—
1466C2×C4C23×Q812yes—
1467C2×C4C23×Q812yes—
1468C2×C4C23×Q814yes—
1469C2×C4C23×Q814yes—
1470C2×C4C23×Q812yes—
1471C2×C4C23×Q812yes—
1472C2×C4C2×2−1+412yes—
1473C2×C4C2×2−1+412yes—
1474C2×C4C2×2−1+412yes—
1475C2×C4#58512yes—
1476C2×C4#58512yes—
1477C2×C4#58512yes—
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22C24×Q811yescharacteristic
1486C22C22×2−1+411yescharacteristic
1487C22C2×#58511yescharacteristic
1488C22C2×#58511yescharacteristic
1489C22C2×#58511yescharacteristic
1490C22H(7,𝔽2)11yescharacteristic
1491C222−1+611yescharacteristic
1492C4—22no—
1493C4—24no—
1494C4—22no—
1495C4—22no—
1496C4—24no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—24no—
1501C4—22no—
1502C4—41no—
1503C4—42no—
1504C4—44no—
1505C4—42no—
1506C4—42no—
1507C4—41no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—41no—
1514C4—41no—
1515C4—42no—
1516C4—44no—
1517C4—41no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—44no—
1522C4—44no—
1523C4—41no—
1524C4#345814yes—
1525C4#350214yes—
1526C2—42no—
1527C2C2×#345811yescharacteristic
1528C2C2×#350211yescharacteristic
1529C2#6285411yescharacteristic
1530C2#6292611yescharacteristic
1531C2#6293911yescharacteristic
1532C2#6295611yescharacteristic
1533C2#6296911yescharacteristic
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
1. #42823C2semidirect
2. #42819C2semidirect
5. #42185C2semidirect
6. #42002C2semidirect
9. #39754C2semidirect
10. #39749C2semidirect
11. #39625C2semidirect
12. #39622C2semidirect
13. #39183C2semidirect
14. #39180C2semidirect
15. #39177C2semidirect
16. #39176C2semidirect
21. #36600C2semidirect
22. #36563C2semidirect
23. #36535C2semidirect
24. #36497C2semidirect
25. #35972C2semidirect
26. #35936C2semidirect
321. C2×C4×Q8Q8semidirect

Maximal subgroups

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

subgroupindex
#428232
#428192
#428162
#421852
#420022
#406292
#406252
#397542
#397492
#396252
#396222
#391832
#391802
#391772
#391762
#376432
#376242
#375652
#366002
#365632
#365352
#364972
#359722
#359362
#358432
#357082
#353452
#352942
#346252
#341962
#341872
Q8×#1172