Finite Group Databasebeta

← #8096655

Subgroups — #8096655

Order 512.

4814 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53076C212yesmaximal, complemented
2#53044C212yesmaximal, complemented
3#52991C211yesmaximal, characteristic, complemented
4#52957C211yesmaximal, characteristic, complemented
5#52708C212yesmaximal, complemented
6#52634C212yesmaximal, complemented
7#52565C214yesmaximal, complemented
8#52387C214yesmaximal, complemented
9#52294C211yesmaximal, characteristic, complemented
10#52168C212yesmaximal, complemented
11#46158C212yesmaximal, complemented
12#46115C214yesmaximal, complemented
13#46112C212yesmaximal, complemented
14#46112C212yesmaximal, complemented
15#45805C214yesmaximal, complemented
16#45770C214yesmaximal, complemented
17#45747C212yesmaximal, complemented
18#45722C214yesmaximal, complemented
19#45646C212yesmaximal, complemented
20#45478C211yesmaximal, characteristic, complemented
21#36471C212yesmaximal, complemented
22#36464C212yesmaximal, complemented
23#36438C212yesmaximal, complemented
24#36427C211yesmaximal, characteristic, complemented
25#36114C212yesmaximal, complemented
26#35945C212yesmaximal, complemented
27#35853C211yesmaximal, characteristic, complemented
28#35752C212yesmaximal, complemented
29#35686C211yesmaximal, characteristic, complemented
30C2×#560C2212yes—
31C2×#559C2211yescharacteristic, complemented
32C2×#553C2212yes—
33C2×#552C2211yescharacteristic
34C2×#529C2214yes—
35C2×#520C2211yescharacteristic, complemented
36C22×#117C2211yescharacteristic
37#2861C2212yescomplemented
38#2859C2212yescomplemented
39#2859C2212yescomplemented
40#2854C2214yes—
41#2854C2214yes—
42#2853C2212yes—
43#2852C2214yes—
44#2851C2214yescomplemented
45#2848C2211yescharacteristic
46#2847C2212yes—
47#2841C2212yescomplemented
48#2839C2214yescomplemented
49#2837C2214yes—
50#2837C2214yescomplemented
51#2835C2212yes—
52#2830C2214yes—
53#2829C2214yes—
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yes—
57#2828C2212yescomplemented
58#2826C2214yes—
59#2824C2212yes—
60#2820C2214yes—
61#2813C2214yes—
62#2813C2214yes—
63#2813C2214yes—
64#2813C2214yescomplemented
65#2812C2212yes—
66#2805C2214yescomplemented
67#2803C2214yescomplemented
68#2797C2214yes—
69#2796C2214yes—
70#2784C2212yescomplemented
71#2781C2214yes—
72#2781C2214yes—
73#2781C2214yescomplemented
74#2781C2214yescomplemented
75#2780C2214yes—
76#2779C2214yescomplemented
77#2779C2214yescomplemented
78#2773C2214yes—
79#2773C2214yescomplemented
80#2772C2214yescomplemented
81#2772C2214yescomplemented
82#2771C2212yescomplemented
83#2763C2212yes—
84#2763C2211yescharacteristic
85#2753C2212yes—
86#2753C2212yes—
87#2753C2212yes—
88#2742C2214yescomplemented
89#2736C2211yescharacteristic
90#2727C2214yes—
91#2725C2214yes—
92#2725C2214yescomplemented
93#2722C2212yes—
94#2714C2214yes—
95#2712C2212yes—
96#2712C2211yescharacteristic
97#2711C2214yes—
98#2711C2214yes—
99#2709C2212yes—
100#2705C2214yescomplemented
101#2704C2214yescomplemented
102#2704C2214yescomplemented
103#2695C2214yes—
104#2693C2212yes—
105#2691C2214yes—
106#2691C2214yes—
107#2688C2214yes—
108#2685C2214yes—
109#2681C2214yes—
110#2681C2214yescomplemented
111#2678C2214yes—
112#2675C2212yes—
113#2673C2214yes—
114#2672C2214yes—
115#2672C2214yes—
116#2670C2211yescharacteristic
117#2670C2212yes—
118#2662C2212yescomplemented
119#2654C2214yes—
120#2647C2212yescomplemented
121#2641C2211yescharacteristic, complemented
122#2635C2214yes—
123#2633C2212yescomplemented
124#2616C2211yescharacteristic, complemented
125#2615C2212yescomplemented
126#2610C2212yes—
127#2603C2212yescomplemented
128#2602C2214yes—
129#2602C2214yescomplemented
130#2601C2214yes—
131#2600C2214yescomplemented
132#2599C2212yes—
133#2598C2214yes—
134#2590C2214yescomplemented
135#2584C2211yescharacteristic, complemented
136#2584C2212yescomplemented
137#2584C2212yescomplemented
138#2581C2212yescomplemented
139#2573C2214yescomplemented
140#2558C2214yes—
141#2558C2214yescomplemented
142#2558C2214yescomplemented
143#2555C2214yes—
144#2553C2214yescomplemented
145#2541C2211yescharacteristic
146#2540C2212yes—
147#2538C2212yes—
148#2538C2212yescomplemented
149#2538C2212yescomplemented
150#2537C2212yes—
151#2537C2212yes—
152#2533C2214yescomplemented
153#2526C2214yes—
154#2521C2214yescomplemented
155#2518C2214yes—
156#2518C2214yescomplemented
157#2502C2211yescharacteristic
158#2502C2211yescharacteristic, complemented
159#2500C2212yes—
160#2500C2212yescomplemented
161#2497C2212yes—
162#2497C2212yescomplemented
163#2497C2212yescomplemented
164#2496C2212yes—
165#2496C2212yes—
166#2496C2212yescomplemented
167#2495C2214yescomplemented
168#2487C2211yescharacteristic
169#2486C2211yescharacteristic
170#2485C2212yes—
171#2485C2212yes—
172#2482C2212yes—
173#2479C2214yes—
174#2479C2214yes—
175#2476C2214yes—
176#2475C2214yes—
177#2470C2214yes—
178#2470C2214yes—
179#2470C2214yescomplemented
180#2469C2214yes—
181#2469C2214yescomplemented
182#2467C2214yescomplemented
183#2466C2214yes—
184#2466C2214yescomplemented
185#2466C2214yescomplemented
186#2464C2214yes—
187#2458C2214yes—
188#2456C2214yes—
189#2455C2214yes—
190#2445C2214yes—
191#2442C2212yes—
192#2442C2212yescomplemented
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yescomplemented
196#2441C2212yescomplemented
197#2428C2212yes—
198#2428C2212yescomplemented
199#2427C2212yes—
200#2427C2212yescomplemented
201#2426C2212yes—
202#2426C2214yes—
203#2426C2212yescomplemented
204#2424C2214yes—
205#2423C2212yes—
206#2423C2212yescomplemented
207#2422C2212yes—
208#2422C2212yes—
209#2422C2212yescomplemented
210#2422C2212yescomplemented
211#2421C2214yescomplemented
212#2420C2214yes—
213#2418C2214yes—
214#2416C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2214yes—
221#2411C2212yes—
222#2398C2211yescharacteristic
223#2398C2212yes—
224#2396C2214yescomplemented
225#2392C2212yes—
226#2392C2212yes—
227#2392C2214yescomplemented
228#2388C2212yes—
229#2388C2211yescharacteristic
230#2382C2214yescomplemented
231#2376C2214yes—
232#2376C2214yes—
233#2376C2214yescomplemented
234#2363C2212yes—
235#2363C2212yescomplemented
236#2362C2212yes—
237#2361C2212yes—
238#2361C2212yescomplemented
239#2360C2212yescomplemented
240#2354C2212yes—
241#2352C2212yes—
242Q8×C4⋊C4C2212yescomplemented
243D4×C4⋊C4C2212yes—
244#2347C2212yes—
245#2347C2211yescharacteristic, complemented
246#2344C2211yescharacteristic
247#2344C2212yescomplemented
248C4×#124C2212yes—
249C4×#124C2212yes—
250C4×#124C2212yes—
251C4×C22⋊Q8C2214yescomplemented
252C4×#121C2214yes—
253C4×#121C2214yescomplemented
254C4×#120C2211yescharacteristic
255C4×#120C2212yes—
256#2296C2212yes—
257#2276C2211yescharacteristic, complemented
258C42×D4C2212yescomplemented
259C22×#41C2311yescharacteristic
260C24×C4C2311yescharacteristic
261#560—48no—
262#559—44no—
263#553—48no—
264#552—44no—
265C2×#127C2311yescharacteristic
266C2×#127C2312yes—
267#529—416no—
268C2×#126C2314yes—
269C2×#126C2312yes—
270C2×#126C2314yes—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#125C2314yes—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#125C2311yescharacteristic
277C2×#125C2314yes—
278C2×#124C2312yes—
279C2×#124C2312yes—
280C2×#124C2312yes—
281C2×#124C2312yes—
282C2×#124C2312yes—
283C2×#123C2314yes—
284C2×#123C2312yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2311yescharacteristic
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#120C2311yescharacteristic
311C2×#120C2314yes—
312C2×#120C2312yes—
313#520—44no—
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2312yes—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2312yes—
319C2×C4×Q8C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×#117—44no—
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2311yescharacteristic
339C2×#117C2314yes—
340C2×#117C2312yes—
341C2×#117C2314yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C22⋊C4C2312yes—
349C22×C42C2314yes—
350C22×C42C2312yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2312yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2312yes—
361#400C2314yes—
362#400C2312yes—
363#400C2314yes—
364#400C2312yes—
365#400C2314yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#399C2312yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2312yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2312yes—
382#398C2314yes—
383#398C2312yes—
384#398C2312yes—
385#398C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2312yes—
393#397C2312yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2311yescharacteristic
403#397C2311yescharacteristic
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#395C2312yes—
422#395C2314yes—
423#395C2312yes—
424#395C2314yes—
425#395C2311yescharacteristic
426#395C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2312yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2311yescharacteristic
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#393C2311yescharacteristic
467#393C2314yes—
468#393C2312yes—
469#393C2311yescharacteristic
470#393C2311yescharacteristic
471#393C2312yes—
472#393C2312yes—
473#392C2312yes—
474#392C2314yes—
475#392C2312yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2311yescharacteristic
485#392C2312yes—
486#392C2312yes—
487#392C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
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#386C2314yes—
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2311yescharacteristic
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#385C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2311yescharacteristic
651#384C2312yes—
652#384C2312yes—
653#384C2312yes—
654#384C2312yes—
655#384C2312yes—
656#383C2314yes—
657#383C2312yes—
658#382C2314yes—
659#382C2312yes—
660#382C2312yes—
661#382C2314yes—
662#382C2312yes—
663#382C2312yes—
664#381C2314yes—
665#381C2312yes—
666#381C2312yes—
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2311yescharacteristic
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2312yes—
678#380C2311yescharacteristic
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#379C2312yes—
686#379C2312yes—
687#379C2311yescharacteristic
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716#376C2312yes—
717#376C2311yescharacteristic
718C43C2312yes—
719C25C2411yescharacteristic
720C2×#41—42no—
721C2×#41—44no—
722C22×Q8C2411yescharacteristic
723C22×Q8C2412yes—
724C22×Q8C2411yescharacteristic
725C22×Q8C2411yescharacteristic
726C22×D4C2412yes—
727C22×D4C2412yes—
728C22×D4C2412yes—
729C22×D4C2414yes—
730C22×D4C2411yescharacteristic
731C22×D4C2412yes—
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C23×C4—42no—
743C23×C4—44no—
744C23×C4C2411yescharacteristic
745C23×C4C2412yes—
746C23×C4C2411yescharacteristic
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2414yes—
752C23×C4C2414yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2411yescharacteristic
757#127—42no—
758#127—44no—
759#126—44no—
760#126—48no—
761#126—48no—
762#126—48no—
763#126—48no—
764#125—48no—
765#125—48no—
766#125—44no—
767#125—42no—
768#125—44no—
769#124—28no—
770#124—44no—
771#124—44no—
772#124—44no—
773#124—44no—
774#123—216no—
775#123—44no—
776#123—48no—
777#123—48no—
778#123—48no—
779#123—44no—
780#123—48no—
781#123—48no—
782C22⋊Q8—48no—
783C22⋊Q8—48no—
784C22⋊Q8—44no—
785C22⋊Q8—44no—
786C22⋊Q8—42no—
787C22⋊Q8—42no—
788#121—48no—
789#121—48no—
790#121—48no—
791#121—48no—
792#121—48no—
793#121—48no—
794#121—44no—
795#121—44no—
796#121—44no—
797#121—44no—
798#121—44no—
799#121—44no—
800#121—48no—
801#120—24no—
802#120—44no—
803#120—48no—
804C4×Q8—24no—
805C4×Q8—44no—
806C4×Q8—42no—
807C4×Q8—44no—
808C4×Q8—44no—
809C4×Q8—48no—
810C4×D4—28no—
811C4×D4—48no—
812C4×D4—44no—
813C4×D4—44no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—42no—
819C4×D4—48no—
820C4×D4—44no—
821C4×D4—44no—
822C4×D4—48no—
823C4×D4—48no—
824C4×D4—48no—
825#117—28no—
826#117—24no—
827#117—28no—
828#117—44no—
829#117—48no—
830#117—48no—
831#117—44no—
832#117—44no—
833C2×C4⋊C4—24no—
834C2×C4⋊C4—28no—
835C2×C4⋊C4—42no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C22⋊C4—44no—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2411yescharacteristic
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2411yescharacteristic
958C2×C42—44no—
959C2×C42—48no—
960C2×C42C2412yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2411yescharacteristic
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2414yes—
979C2×C42C2412yes—
980#95C2411yescharacteristic
981#95C2414yes—
982#95C2412yes—
983#95C2411yescharacteristic
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2411yescharacteristic
991#95C2412yes—
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2411yescharacteristic
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035C24—22no—
1036C24—41no—
1037C24—42no—
1038C24—42no—
1039C24—41no—
1040C24C2512yes—
1041C24C2512yes—
1042C24C2511yescharacteristic
1043C24C2514yes—
1044C24C2511yescharacteristic
1045#41—416no—
1046C2×Q8—22no—
1047C2×Q8—24no—
1048C2×Q8—24no—
1049C2×Q8—24no—
1050C2×Q8—41no—
1051C2×Q8—42no—
1052C2×Q8—42no—
1053C2×Q8—41no—
1054C2×Q8—42no—
1055C2×D4—24no—
1056C2×D4—28no—
1057C2×D4—22no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—24no—
1062C2×D4—24no—
1063C2×D4—41no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—44no—
1070C2×D4—42no—
1071C2×D4—44no—
1072C2×D4—41no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—41no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—42no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—42no—
1100C2×D4—44no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—22no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—28no—
1114C22×C4—28no—
1115C22×C4—28no—
1116C22×C4—28no—
1117C22×C4—41no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—416no—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2511yescharacteristic
1142C22×C4C2511yescharacteristic
1143C22×C4C2512yes—
1144C22×C4C2511yescharacteristic
1145C22×C4C2512yes—
1146C22×C4C2514yes—
1147C22×C4C2511yescharacteristic
1148C22×C4C2514yes—
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2511yescharacteristic
1161C4⋊C4—24no—
1162C4⋊C4—22no—
1163C4⋊C4—24no—
1164C4⋊C4—28no—
1165C4⋊C4—24no—
1166C4⋊C4—22no—
1167C4⋊C4—28no—
1168C4⋊C4—28no—
1169C4⋊C4—24no—
1170C4⋊C4—28no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—41no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—41no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—42no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4H(5,𝔽2)14yes—
1215C22⋊C4—24no—
1216C22⋊C4—24no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—24no—
1220C22⋊C4—24no—
1221C22⋊C4—28no—
1222C22⋊C4—24no—
1223C22⋊C4—28no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—28no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—44no—
1231C22⋊C4—41no—
1232C22⋊C4—42no—
1233C22⋊C4—44no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—44no—
1238C22⋊C4—41no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—42no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—41no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4H(5,𝔽2)14yes—
1281C42—24no—
1282C42—28no—
1283C42—28no—
1284C42—24no—
1285C42—24no—
1286C42—24no—
1287C42—22no—
1288C42—24no—
1289C42—24no—
1290C42—24no—
1291C42—24no—
1292C42—44no—
1293C42—44no—
1294C42—44no—
1295C42—42no—
1296C42—44no—
1297C42—44no—
1298C42—44no—
1299C42—42no—
1300C42—42no—
1301C23—21no—
1302C23—22no—
1303C23—22no—
1304C23—21no—
1305C23—22no—
1306C23—21no—
1307C23—22no—
1308C23—24no—
1309C23—22no—
1310C23—24no—
1311C23—22no—
1312C23—21no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—24no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—24no—
1321C23—24no—
1322C23—24no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—21no—
1329C23—24no—
1330C23—22no—
1331C23—44no—
1332C23—84no—
1333C23—82no—
1334C23—82no—
1335C23—84no—
1336C23C2×H(5,𝔽2)12yes—
1337C23C2611yescharacteristic
1338Q8—48no—
1339Q8—44no—
1340Q8—44no—
1341Q8—82no—
1342D4—48no—
1343D4—44no—
1344D4—48no—
1345D4—48no—
1346D4—84no—
1347D4—88no—
1348D4—82no—
1349D4—88no—
1350D4—88no—
1351D4—84no—
1352D4—84no—
1353D4—84no—
1354D4—164no—
1355D4—164no—
1356D4—164no—
1357D4—162no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—21no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—21no—
1375C2×C4—22no—
1376C2×C4—21no—
1377C2×C4—24no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—24no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—24no—
1419C2×C4—48no—
1420C2×C4—44no—
1421C2×C4—48no—
1422C2×C4—44no—
1423C2×C4—48no—
1424C2×C4—48no—
1425C2×C4—44no—
1426C2×C4—88no—
1427C2×C4—88no—
1428C2×C4—88no—
1429C2×C4—88no—
1430C2×C4—84no—
1431C2×C4—162no—
1432C2×C4C2×H(5,𝔽2)14yes—
1433C2×C4C2×H(5,𝔽2)14yes—
1434C2×C4C2×H(5,𝔽2)12yes—
1435C2×C4#58514yes—
1436C2×C4#58514yes—
1437C22—24no—
1438C22—22no—
1439C22—41no—
1440C22—42no—
1441C22—41no—
1442C22—44no—
1443C22—44no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—44no—
1451C22—42no—
1452C22—41no—
1453C22—42no—
1454C22—44no—
1455C22—41no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—44no—
1463C22—42no—
1464C22—42no—
1465C22—41no—
1466C22—42no—
1467C22—44no—
1468C22—88no—
1469C22C22×H(5,𝔽2)11yescharacteristic
1470C22C22×H(5,𝔽2)11yescharacteristic
1471C22C2×#58512yes—
1472C22C2×#58512yes—
1473C222−1+611yescharacteristic
1474C4—24no—
1475C4—24no—
1476C4—24no—
1477C4—44no—
1478C4—44no—
1479C4—44no—
1480C4—42no—
1481C4—42no—
1482C4—44no—
1483C4—41no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—44no—
1488C4—41no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—41no—
1494C4—41no—
1495C4—42no—
1496C4—42no—
1497C4#352914yes—
1498C2—42no—
1499C2—84no—
1500C2—82no—
1501C2—81no—
1502C2—82no—
1503C2C2×#352911yescharacteristic
1504C2#6291411yescharacteristic
1505C2#6293912yes—
1506C2#6301812yes—
1507C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53076C2semidirect
2. #53044C2semidirect
3. #52991C2semidirect
4. #52957C2semidirect
5. #52708C2semidirect
6. #52634C2semidirect
7. #52565C2semidirect
8. #52387C2semidirect
9. #52294C2semidirect
10. #52168C2semidirect
11. #46158C2semidirect
12. #46115C2semidirect
13. #46112C2semidirect
14. #46112C2semidirect
15. #45805C2semidirect
16. #45770C2semidirect
17. #45747C2semidirect
18. #45722C2semidirect
19. #45646C2semidirect
20. #45478C2semidirect
21. #36471C2semidirect
22. #36464C2semidirect
23. #36438C2semidirect
24. #36427C2semidirect
25. #36114C2semidirect
26. #35945C2semidirect
27. #35853C2semidirect
28. #35752C2semidirect
29. #35686C2semidirect
31. C2×#559C22semidirect
35. C2×#520C22semidirect
37. #2861C22semidirect
38. #2859C22semidirect
39. #2859C22semidirect
44. #2851C22semidirect
47. #2841C22semidirect
48. #2839C22semidirect
50. #2837C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
57. #2828C22semidirect
64. #2813C22semidirect
66. #2805C22semidirect
67. #2803C22semidirect
70. #2784C22semidirect
73. #2781C22semidirect
74. #2781C22semidirect
76. #2779C22semidirect
77. #2779C22semidirect
79. #2773C22semidirect
80. #2772C22semidirect
81. #2772C22semidirect
82. #2771C22semidirect
88. #2742C22semidirect
92. #2725C22semidirect
100. #2705C22semidirect
101. #2704C22semidirect
102. #2704C22semidirect
110. #2681C22semidirect
118. #2662C22semidirect
120. #2647C22semidirect
121. #2641C22semidirect
123. #2633C22semidirect
124. #2616C22semidirect
125. #2615C22semidirect
127. #2603C22semidirect
129. #2602C22semidirect
131. #2600C22semidirect
134. #2590C22semidirect
135. #2584C22semidirect
136. #2584C22semidirect
137. #2584C22semidirect
138. #2581C22semidirect
139. #2573C22semidirect
141. #2558C22semidirect
142. #2558C22semidirect
144. #2553C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
152. #2533C22semidirect
154. #2521C22semidirect
156. #2518C22semidirect
158. #2502C22semidirect
160. #2500C22semidirect
162. #2497C22semidirect
163. #2497C22semidirect
166. #2496C22semidirect
167. #2495C22semidirect
179. #2470C22semidirect
181. #2469C22semidirect
182. #2467C22semidirect
184. #2466C22semidirect
185. #2466C22semidirect
192. #2442C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
198. #2428C22semidirect
200. #2427C22semidirect
203. #2426C22semidirect
206. #2423C22semidirect
209. #2422C22semidirect
210. #2422C22semidirect
211. #2421C22semidirect
224. #2396C22semidirect
227. #2392C22semidirect
230. #2382C22semidirect
233. #2376C22semidirect
235. #2363C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
242. Q8×C4⋊C4C22semidirect
245. #2347C22semidirect
247. #2344C22semidirect
251. C4×C22⋊Q8C22semidirect
253. C4×#121C22semidirect
257. #2276C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#530762
#530442
#529912
#529572
#527082
#526342
#525652
#523872
#522942
#521682
#461582
#461152
#461122
#458052
#457702
#457472
#457222
#456462
#454782
#364712
#364642
#364382
#364272
#361142
#359452
#358532
#357522
#356862