Finite Group Databasebeta

← #7657450

Subgroups — #7657450

Order 512.

4156 conjugacy classes of subgroups.

The subgroup lattice has 1537 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42824C212yesmaximal, complemented
2#42820C212yesmaximal, complemented
3#42818C212yesmaximal
4#42817C212yesmaximal
5#42183C214yesmaximal, complemented
6#42004C214yesmaximal, complemented
7#40628C214yesmaximal
8#40624C214yesmaximal
9#39753C211yesmaximal, characteristic, complemented
10#39750C212yesmaximal, complemented
11#39626C211yesmaximal, characteristic, complemented
12#39621C212yesmaximal, complemented
13#39182C211yesmaximal, characteristic, complemented
14#39181C211yesmaximal, characteristic, complemented
15#39177C212yesmaximal, complemented
16#39176C212yesmaximal, complemented
17#37642C211yesmaximal, characteristic
18#37624C211yesmaximal, characteristic
19#37624C212yesmaximal
20#37565C212yesmaximal
21#36598C211yesmaximal, characteristic, complemented
22#36565C211yesmaximal, characteristic, complemented
23#36535C211yesmaximal, characteristic, complemented
24#36497C211yesmaximal, characteristic, complemented
25#35958C212yesmaximal, complemented
26#35867C212yesmaximal, complemented
27#35788C212yesmaximal
28#35783C212yesmaximal
29#35344C212yesmaximal
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#2862C2212yes—
41#2862C2212yes—
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2844C2214yes—
46#2843C2214yes—
47#2843C2214yes—
48#2841C2214yes—
49#2841C2214yes—
50#2841C2214yes—
51#2811C2214yes—
52#2809C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2806C2214yes—
56#2806C2214yes—
57#2805C2214yes—
58#2802C2214yes—
59#2799C2214yes—
60#2799C2214yes—
61#2799C2214yes—
62#2799C2214yes—
63#2792C2214yes—
64#2791C2214yes—
65#2791C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2755C2214yes—
69#2755C2214yes—
70#2755C2214yes—
71#2734C2214yes—
72#2713C2214yes—
73#2713C2214yes—
74#2713C2214yes—
75#2667C2214yes—
76#2667C2212yes—
77#2667C2214yes—
78#2667C2214yes—
79#2666C2212yes—
80#2666C2214yes—
81#2666C2214yes—
82#2666C2214yes—
83#2666C2214yes—
84#2666C2214yes—
85#2666C2212yes—
86#2665C2214yes—
87#2665C2212yes—
88#2665C2214yes—
89#2665C2214yes—
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#2629C2211yescharacteristic
103#2629C2211yescharacteristic
104#2629C2212yes—
105#2629C2212yes—
106#2628C2212yes—
107#2628C2212yes—
108#2628C2212yes—
109#2628C2212yes—
110#2628C2214yes—
111#2628C2211yescharacteristic
112#2628C2212yes—
113#2628C2212yes—
114#2628C2211yescharacteristic
115#2612C2214yes—
116#2612C2214yes—
117#2607C2214yes—
118#2607C2214yes—
119#2607C2214yes—
120#2607C2214yes—
121#2605C2214yes—
122#2605C2214yes—
123#2605C2214yes—
124#2605C2214yes—
125#2590C2214yes—
126#2590C2214yes—
127#2588C2214yes—
128#2588C2214yes—
129#2588C2214yes—
130#2588C2214yes—
131#2586C2214yes—
132#2586C2214yes—
133#2586C2214yes—
134#2586C2214yes—
135#2585C2214yes—
136#2585C2214yes—
137#2582C2212yes—
138#2582C2212yes—
139#2581C2212yes—
140#2581C2212yes—
141#2571C2212yes—
142#2571C2211yescharacteristic
143#2571C2212yes—
144#2571C2211yescharacteristic
145#2571C2211yescharacteristic
146#2571C2212yes—
147#2570C2212yes—
148#2570C2212yes—
149#2570C2212yes—
150#2570C2212yes—
151#2570C2212yes—
152#2570C2212yes—
153#2570C2212yes—
154#2570C2212yes—
155#2570C2212yes—
156#2568C2212yes—
157#2568C2212yes—
158#2567C2212yes—
159#2565C2212yes—
160#2565C2212yes—
161#2552C2212yes—
162#2552C2212yes—
163#2552C2211yescharacteristic
164#2552C2211yescharacteristic
165#2551C2212yes—
166#2551C2211yescharacteristic
167#2551C2212yes—
168#2551C2211yescharacteristic
169#2551C2212yes—
170#2551C2211yescharacteristic
171#2550C2212yes—
172#2550C2212yes—
173#2550C2212yes—
174#2550C2212yes—
175#2550C2212yes—
176#2550C2212yes—
177#2550C2212yes—
178#2550C2212yes—
179#2550C2212yes—
180#2550C2212yes—
181#2550C2212yes—
182#2546C2212yes—
183#2520C2214yes—
184#2520C2214yes—
185#2520C2214yes—
186#2520C2214yes—
187#2511C2214yes—
188#2511C2214yes—
189#2509C2212yes—
190#2508C2212yes—
191#2507C2212yes—
192#2506C2212yes—
193#2462C2214yes—
194#2462C2214yes—
195#2453C2212yes—
196#2453C2212yes—
197#2451C2212yes—
198#2451C2214yes—
199#2451C2212yes—
200#2451C2212yes—
201#2451C2214yes—
202#2451C2212yes—
203#2451C2212yes—
204#2451C2212yes—
205#2446C2214yes—
206#2446C2214yes—
207#2441C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2441C2214yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2214yes—
214#2439C2212yes—
215#2402C2212yes—
216#2402C2214yes—
217#2399C2214yes—
218#2399C2212yes—
219#2396C2212yes—
220#2396C2212yes—
221#2396C2214yes—
222#2396C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2369C2212yes—
226#2369C2212yes—
227#2365C2212yes—
228#2365C2212yes—
229#2356C2214yes—
230#2356C2212yes—
231#2356C2212yes—
232#2355C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247#2355C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252#2345C2212yes—
253#2345C2212yes—
254#2345C2211yescharacteristic
255#2345C2211yescharacteristic
256#2344C2214yes—
257#2344C2212yes—
258Q8×C22⋊C4C2211yescharacteristic
259Q8×C22⋊C4C2212yes—
260Q8×C22⋊C4C2211yescharacteristic
261#2331C2212yes—
262#2331C2212yes—
263#2331C2212yes—
264#2331C2212yes—
265#2331C2212yes—
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⋊Q8C2312yes—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
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×#117C2312yes—
342C2×#117C2311yescharacteristic
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#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#399C2312yes—
378#399C2314yes—
379#399C2314yes—
380#399C2312yes—
381#399C2314yes—
382#399C2314yes—
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#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2312yes—
433#396C2312yes—
434#396C2312yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2312yes—
457#395C2314yes—
458#395C2312yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2312yes—
463#393C2312yes—
464#393C2314yes—
465#393C2314yes—
466#393C2312yes—
467#393C2314yes—
468#393C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
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#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#384C2311yescharacteristic
652#384C2311yescharacteristic
653#384C2312yes—
654#384C2312yes—
655#384C2312yes—
656#384C2314yes—
657#384C2312yes—
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#383C2314yes—
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
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#380C2312yes—
722#380C2311yescharacteristic
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⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
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#376C2311yescharacteristic
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2312yes—
811C22×Q8—42no—
812C22×Q8—42no—
813C22×Q8C2×Q818yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C4⋊Q8—24no—
829C4⋊Q8—28no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—84no—
839C4⋊Q8—84no—
840C4⋊Q8—82no—
841#125—24no—
842#125—44no—
843#125—44no—
844#125—42no—
845#125—44no—
846#125—44no—
847#125—82no—
848#125—84no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—42no—
852C4×Q8—44no—
853C4×Q8—42no—
854C4×Q8—42no—
855C4×Q8—44no—
856C4×Q8—42no—
857C4×Q8—84no—
858C4×Q8—84no—
859C4×Q8C2×Q818yes—
860C4×Q8C2×Q818yes—
861C4×Q8C2×Q818yes—
862C4×Q8C2×Q818yes—
863C4×Q8C2×Q8116yes—
864C4×Q8C2×Q8116yes—
865#117—24no—
866#117—44no—
867#117—42no—
868#117—44no—
869#117—44no—
870#117—84no—
871#117—82no—
872C2×C4⋊C4C2×Q818yes—
873C2×C4⋊C4C2×Q8116yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C42C2×Q818yes—
984C2×C42C2×Q8116yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2412yes—
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2411yescharacteristic
1034#95C2411yescharacteristic
1035#95C2411yescharacteristic
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
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—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—44no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—416no—
1151C2×Q8C22×Q814yes—
1152C2×Q8C22×Q814yes—
1153C2×Q8C22×Q818yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—42no—
1159C22×C4—41no—
1160C22×C4—42no—
1161C22×C4—41no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4C22×Q814yes—
1165C22×C4C22×Q814yes—
1166C22×C4C22×Q818yes—
1167C22×C4C22×Q814yes—
1168C22×C4C22×Q818yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2511yescharacteristic
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2514yes—
1176C22×C4C2514yes—
1177C22×C4C2514yes—
1178C22×C4C2512yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—28no—
1210C4⋊C4—24no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
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—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
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—41no—
1304C22⋊C4—41no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C42—22no—
1313C42—24no—
1314C42—24no—
1315C42—22no—
1316C42—24no—
1317C42—22no—
1318C42—24no—
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—42no—
1339C42—44no—
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—84no—
1368Q8—88no—
1369Q8—84no—
1370Q8—88no—
1371Q8—164no—
1372Q8—164no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—22no—
1392C2×C4—21no—
1393C2×C4—28no—
1394C2×C4—28no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—48no—
1462C2×C4—44no—
1463C2×C4—48no—
1464C2×C4C23×Q812yes—
1465C2×C4C23×Q814yes—
1466C2×C4C23×Q812yes—
1467C2×C4C23×Q814yes—
1468C2×C4C23×Q812yes—
1469C2×C4C23×Q812yes—
1470C2×C4C23×Q814yes—
1471C2×C4C23×Q814yes—
1472C2×C4C23×Q812yes—
1473C2×C4C23×Q812yes—
1474C2×C4C2×2−1+412yes—
1475C2×C4C2×2−1+412yes—
1476C2×C4C2×2−1+412yes—
1477C2×C4#58512yes—
1478C2×C4#58512yes—
1479C2×C4#58512yes—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22C24×Q811yescharacteristic
1488C22C22×2−1+411yescharacteristic
1489C22C2×#58511yescharacteristic
1490C22C2×#58511yescharacteristic
1491C22C2×#58511yescharacteristic
1492C22H(7,𝔽2)11yescharacteristic
1493C222−1+611yescharacteristic
1494C4—22no—
1495C4—24no—
1496C4—22no—
1497C4—22no—
1498C4—24no—
1499C4—22no—
1500C4—22no—
1501C4—24no—
1502C4—24no—
1503C4—22no—
1504C4—41no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—41no—
1509C4—42no—
1510C4—41no—
1511C4—42no—
1512C4—42no—
1513C4—44no—
1514C4—42no—
1515C4—42no—
1516C4—41no—
1517C4—42no—
1518C4—44no—
1519C4—44no—
1520C4—41no—
1521C4—41no—
1522C4—42no—
1523C4—44no—
1524C4—42no—
1525C4—42no—
1526C4#345814yes—
1527C4#350214yes—
1528C2—42no—
1529C2C2×#345811yescharacteristic
1530C2C2×#350211yescharacteristic
1531C2#6285411yescharacteristic
1532C2#6293211yescharacteristic
1533C2#6293811yescharacteristic
1534C2#6296211yescharacteristic
1535C2#6296811yescharacteristic
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. #42824C2semidirect
2. #42820C2semidirect
5. #42183C2semidirect
6. #42004C2semidirect
9. #39753C2semidirect
10. #39750C2semidirect
11. #39626C2semidirect
12. #39621C2semidirect
13. #39182C2semidirect
14. #39181C2semidirect
15. #39177C2semidirect
16. #39176C2semidirect
21. #36598C2semidirect
22. #36565C2semidirect
23. #36535C2semidirect
24. #36497C2semidirect
25. #35958C2semidirect
26. #35867C2semidirect
321. C2×C4×Q8Q8semidirect

Maximal subgroups

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

subgroupindex
#428242
#428202
#428182
#428172
#421832
#420042
#406282
#406242
#397532
#397502
#396262
#396212
#391822
#391812
#391772
#391762
#376422
#376242
#375652
#365982
#365652
#365352
#364972
#359582
#358672
#357882
#357832
#353442
#352942
#346252
#341962
#341872
Q8×#1172