Finite Group Databasebeta

← #7711472

Subgroups — #7711472

Order 512.

4196 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59671C212yesmaximal, complemented
3#59668C211yesmaximal, characteristic, complemented
4#59587C212yesmaximal, complemented
5#59459C211yesmaximal, characteristic, complemented
6#59445C211yesmaximal, characteristic, complemented
7#45500C212yesmaximal
8#45499C212yesmaximal
9#45496C214yesmaximal
10#39987C212yesmaximal
11#39986C212yesmaximal
12#39681C212yesmaximal, complemented
13#39680C212yesmaximal, complemented
14#39667C212yesmaximal
15#39665C212yesmaximal
16#39649C214yesmaximal
17#39643C211yesmaximal, characteristic, complemented
18#39643C211yesmaximal, characteristic, complemented
19#39626C211yesmaximal, characteristic, complemented
20#39626C211yesmaximal, characteristic, complemented
21#38451C214yesmaximal, complemented
22#37567C212yesmaximal
23#37197C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic
25#36635C211yesmaximal, characteristic
26#36481C211yesmaximal, characteristic
27#36480C211yesmaximal, characteristic
28#36288C211yesmaximal, characteristic
29#36287C211yesmaximal, characteristic
30#36286C212yesmaximal, complemented
31#36285C212yesmaximal, complemented
32#35208C212yesmaximal, complemented
33#35199C212yesmaximal, complemented
34#34403C212yesmaximal
35C4×#533C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37#2864C2212yes—
38#2864C2212yes—
39#2863C2212yes—
40#2863C2212yes—
41#2863C2212yes—
42#2863C2211yescharacteristic
43#2863C2211yescharacteristic
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2862C2211yescharacteristic
48#2862C2212yes—
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2855C2212yes—
57#2855C2212yes—
58#2855C2212yes—
59#2855C2211yescharacteristic
60#2855C2211yescharacteristic
61#2851C2212yes—
62#2851C2212yes—
63#2841C2214yes—
64#2841C2214yes—
65#2809C2214yes—
66#2807C2214yes—
67#2806C2214yes—
68#2806C2214yes—
69#2806C2214yes—
70#2806C2214yes—
71#2805C2214yes—
72#2802C2214yes—
73#2802C2214yes—
74#2802C2214yes—
75#2799C2214yes—
76#2799C2214yes—
77#2799C2214yes—
78#2799C2214yes—
79#2792C2214yes—
80#2792C2214yes—
81#2792C2214yes—
82#2791C2214yes—
83#2791C2214yes—
84#2790C2214yes—
85#2790C2214yes—
86#2788C2214yes—
87#2774C2214yes—
88#2774C2214yes—
89#2768C2214yes—
90#2763C2214yes—
91#2755C2214yes—
92#2755C2214yes—
93#2755C2214yes—
94#2729C2214yes—
95#2720C2214yes—
96#2713C2214yes—
97#2667C2214yes—
98#2666C2214yes—
99#2666C2214yes—
100#2666C2214yes—
101#2666C2214yes—
102#2665C2214yes—
103#2660C2212yes—
104#2660C2212yes—
105#2647C2212yes—
106#2647C2212yes—
107#2612C2214yes—
108#2612C2214yes—
109#2606C2214yes—
110#2606C2214yes—
111#2606C2214yes—
112#2605C2214yes—
113#2605C2214yes—
114#2605C2214yes—
115#2590C2214yes—
116#2590C2214yes—
117#2590C2214yes—
118#2590C2214yes—
119#2588C2214yes—
120#2588C2214yes—
121#2586C2214yes—
122#2585C2214yes—
123#2584C2212yes—
124#2584C2212yes—
125#2582C2212yes—
126#2582C2212yes—
127#2582C2212yes—
128#2582C2212yes—
129#2581C2214yes—
130#2574C2214yes—
131#2570C2212yes—
132#2570C2214yes—
133#2570C2214yes—
134#2570C2212yes—
135#2568C2212yes—
136#2568C2212yes—
137#2567C2212yes—
138#2567C2211yescharacteristic
139#2567C2211yescharacteristic
140#2567C2212yes—
141#2567C2212yes—
142#2567C2212yes—
143#2565C2214yes—
144#2556C2214yes—
145#2552C2211yescharacteristic
146#2552C2212yes—
147#2552C2212yes—
148#2552C2212yes—
149#2552C2211yescharacteristic
150#2551C2212yes—
151#2551C2211yescharacteristic
152#2551C2211yescharacteristic
153#2550C2212yes—
154#2550C2212yes—
155#2550C2212yes—
156#2550C2212yes—
157#2546C2212yes—
158#2546C2212yes—
159#2546C2211yescharacteristic
160#2546C2211yescharacteristic
161#2522C2214yes—
162#2520C2214yes—
163#2520C2214yes—
164#2520C2214yes—
165#2511C2214yes—
166#2511C2212yes—
167#2511C2212yes—
168#2511C2212yes—
169#2511C2212yes—
170#2509C2212yes—
171#2509C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2508C2212yes—
175#2508C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2508C2214yes—
179#2507C2212yes—
180#2507C2212yes—
181#2507C2212yes—
182#2507C2212yes—
183#2507C2212yes—
184#2507C2212yes—
185#2506C2212yes—
186#2506C2212yes—
187#2506C2214yes—
188#2497C2212yes—
189#2497C2212yes—
190#2492C2212yes—
191#2492C2212yes—
192#2465C2214yes—
193#2462C2214yes—
194#2462C2214yes—
195#2462C2214yes—
196#2453C2214yes—
197#2451C2214yes—
198#2451C2214yes—
199#2451C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2429C2212yes—
212#2429C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2378C2214yes—
216#2378C2214yes—
217#2370C2212yes—
218#2370C2212yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2212yes—
222#2370C2214yes—
223#2370C2212yes—
224#2369C2212yes—
225#2369C2211yescharacteristic
226#2369C2212yes—
227#2369C2211yescharacteristic
228#2365C2212yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2356C2214yes—
233#2356C2214yes—
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2355C2214yes—
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2212yes—
241#2347C2212yes—
242#2347C2212yes—
243#2346C2212yes—
244#2346C2212yes—
245#2332C2214yes—
246#2332C2214yes—
247#2331C2212yes—
248#2331C2212yes—
249#2331C2212yes—
250#2331C2212yes—
251#2331C2214yes—
252#2330C2214yes—
253#2320C2214yes—
254#2320C2214yes—
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2212yes—
290#2295C2212yes—
291#2285C2211yescharacteristic
292#2283C2212yes—
293#2283C2212yes—
294C42×Q8C2212yes—
295C42×Q8C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C43C2211yescharacteristic
299#533Q8116yescomplemented
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
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#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#399C2314yes—
376#399C2314yes—
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#398C2314yes—
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#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#393C2314yes—
434#393C2314yes—
435#391C2311yescharacteristic
436#391C2312yes—
437#391C2312yes—
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#391C2312yes—
441#391C2312yes—
442#391C2314yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2314yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2314yes—
453#391C2314yes—
454#391C2314yes—
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2314yes—
458#391C2314yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
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#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2314yes—
684#384C2314yes—
685#384C2312yes—
686#384C2312yes—
687#384C2314yes—
688#384C2312yes—
689#384C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2312yes—
694#383C2312yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794#376C2314yes—
795#376C2314yes—
796#376C2312yes—
797#376C2312yes—
798#376C2312yes—
799#376C2314yes—
800#376C2312yes—
801C43C2311yescharacteristic
802C43C2311yescharacteristic
803C43C2311yescharacteristic
804C43C2311yescharacteristic
805C43C2312yes—
806C43C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—42no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—42no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—48no—
838C4⋊Q8C2×Q818yes—
839C4⋊Q8C2×Q818yes—
840#125—44no—
841#125—44no—
842#125—48no—
843#125—44no—
844#125—44no—
845#125—48no—
846#125C2×Q818yes—
847#125C2×Q818yes—
848C22⋊Q8—44no—
849C22⋊Q8—42no—
850C22⋊Q8—44no—
851C22⋊Q8—44no—
852C22⋊Q8—42no—
853C22⋊Q8C2×Q8116yes—
854C22⋊Q8C2×Q8116yes—
855C4×Q8—24no—
856C4×Q8—24no—
857C4×Q8—44no—
858C4×Q8—44no—
859C4×Q8—44no—
860C4×Q8—44no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×Q8—48no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8C2×Q8116yes—
870C4×Q8C2×Q8116yes—
871#117—42no—
872#117—42no—
873#117C2×Q818yes—
874#117C2×Q818yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C42—24no—
979C2×C42—42no—
980C2×C42—42no—
981C2×C42—42no—
982C2×C42—42no—
983C2×C42—42no—
984C2×C42C2×Q818yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
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#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129C24C2511yescharacteristic
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—24no—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—42no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×Q8—42no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—44no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8C22×Q818yes—
1156C2×Q8C22×Q818yes—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4C22×Q814yes—
1176C22×C4C22×Q814yes—
1177C22×C4C22×Q814yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4C22×Q814yes—
1296C4⋊C4C22×Q814yes—
1297C4⋊C4C22×Q814yes—
1298C4⋊C4C22×Q814yes—
1299C4⋊C4C22×Q818yes—
1300C4⋊C4C22×Q818yes—
1301C4⋊C4C22×Q818yes—
1302C4⋊C4C22×Q818yes—
1303C4⋊C4C22×Q818yes—
1304C4⋊C4C22×Q818yes—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4C22×Q818yes—
1314C22⋊C4C22×Q818yes—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—24no—
1319C42—24no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—24no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—42no—
1349C42—42no—
1350C42—42no—
1351C42—42no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42C22×Q814yes—
1363C42C22×Q814yes—
1364C42C22×Q814yes—
1365C42C22×Q814yes—
1366C42C22×Q818yes—
1367C42C22×Q818yes—
1368C422−1+414yes—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23C23×Q812yes—
1376C23C2611yescharacteristic
1377Q8—48no—
1378Q8—48no—
1379Q8—44no—
1380Q8—44no—
1381Q8—48no—
1382Q8—84no—
1383Q8—84no—
1384Q8—88no—
1385Q8—164no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—28no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4C23×Q812yes—
1478C2×C4C23×Q812yes—
1479C2×C4C23×Q812yes—
1480C2×C4C23×Q812yes—
1481C2×C4C23×Q812yes—
1482C2×C4C23×Q814yes—
1483C2×C4C23×Q814yes—
1484C2×C4C23×Q814yes—
1485C2×C4C23×Q814yes—
1486C2×C4C23×Q812yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4C2×2−1+412yes—
1490C2×C4#58512yes—
1491C2×C4#58512yes—
1492C2×C4#58512yes—
1493C2×C4#58512yes—
1494C2×C4#58512yes—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22C24×Q811yescharacteristic
1503C22C22×2−1+411yescharacteristic
1504C22C2×#58511yescharacteristic
1505C22C2×#58511yescharacteristic
1506C22C2×#58511yescharacteristic
1507C22C2×#58511yescharacteristic
1508C22C2×#58511yescharacteristic
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—24no—
1515C4—24no—
1516C4—24no—
1517C4—24no—
1518C4—22no—
1519C4—22no—
1520C4—22no—
1521C4—41no—
1522C4—42no—
1523C4—42no—
1524C4—44no—
1525C4—42no—
1526C4—42no—
1527C4—41no—
1528C4—41no—
1529C4—44no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—42no—
1535C4—42no—
1536C4—44no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—44no—
1541C4#350214yes—
1542C4#356514yes—
1543C2—42no—
1544C2C2×#356511yescharacteristic
1545C2#6276211yescharacteristic
1546C2C2×#350211yescharacteristic
1547C2#6281311yescharacteristic
1548C2#6281311yescharacteristic
1549C2#6282711yescharacteristic
1550C2#6283111yescharacteristic
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. #59681C2semidirect
2. #59671C2semidirect
3. #59668C2semidirect
4. #59587C2semidirect
5. #59459C2semidirect
6. #59445C2semidirect
12. #39681C2semidirect
13. #39680C2semidirect
17. #39643C2semidirect
18. #39643C2semidirect
19. #39626C2semidirect
20. #39626C2semidirect
21. #38451C2semidirect
23. #37197C2semidirect
30. #36286C2semidirect
31. #36285C2semidirect
32. #35208C2semidirect
33. #35199C2semidirect
299. #533Q8semidirect

Maximal subgroups

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

subgroupindex
#596812
#596712
#596682
#595872
#594592
#594452
#455002
#454992
#454962
#399872
#399862
#396812
#396802
#396672
#396652
#396492
#396432
#396262
#384512
#375672
#371972
#366352
#364812
#364802
#362882
#362872
#362862
#362852
#352082
#351992
#344032
C4×#5332