Finite Group Databasebeta

← #7882841

Subgroups — #7882841

Order 512.

4231 conjugacy classes of subgroups.

The subgroup lattice has 1548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59872C212yesmaximal, complemented
2#59871C211yesmaximal, characteristic, complemented
3#59756C212yesmaximal, complemented
4#59665C211yesmaximal, characteristic, complemented
5#59665C211yesmaximal, characteristic, complemented
6#47980C214yesmaximal, complemented
7#47967C214yesmaximal, complemented
8#46446C214yesmaximal, complemented
9#45427C212yesmaximal, complemented
10#45190C212yesmaximal, complemented
11#45180C214yesmaximal, complemented
12#45164C212yesmaximal, complemented
13#44923C212yesmaximal, complemented
14#42495C212yesmaximal
15#42491C212yesmaximal, complemented
16#39754C211yesmaximal, characteristic, complemented
17#39683C212yesmaximal, complemented
18#39603C212yesmaximal, complemented
19#39498C211yesmaximal, characteristic
20#39498C212yesmaximal
21#39183C211yesmaximal, characteristic, complemented
22#38965C211yesmaximal, characteristic
23#38963C212yesmaximal, complemented
24#36574C211yesmaximal, characteristic, complemented
25#36447C211yesmaximal, characteristic, complemented
26#36416C211yesmaximal, characteristic
27#35952C212yesmaximal
28#35708C212yesmaximal, complemented
29#35612C212yesmaximal
30#35585C212yesmaximal, complemented
31#34950C211yesmaximal, characteristic, complemented
32#34941C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic
34#34332C211yesmaximal, characteristic
35#34317C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37#2859C2212yes—
38#2859C2211yescharacteristic
39#2859C2211yescharacteristic
40#2859C2211yescharacteristic
41#2851C2212yes—
42#2841C2214yes—
43#2807C2214yes—
44#2807C2214yes—
45#2807C2214yes—
46#2806C2214yes—
47#2805C2214yes—
48#2805C2214yes—
49#2805C2214yes—
50#2802C2214yes—
51#2802C2214yes—
52#2799C2214yes—
53#2799C2214yes—
54#2792C2214yes—
55#2792C2214yes—
56#2792C2214yes—
57#2792C2214yes—
58#2791C2214yes—
59#2791C2214yes—
60#2791C2214yes—
61#2790C2214yes—
62#2788C2214yes—
63#2788C2214yes—
64#2788C2214yes—
65#2774C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2768C2214yes—
70#2768C2214yes—
71#2755C2214yes—
72#2742C2214yes—
73#2720C2214yes—
74#2713C2214yes—
75#2704C2214yes—
76#2667C2214yes—
77#2665C2214yes—
78#2660C2212yes—
79#2647C2212yes—
80#2629C2212yes—
81#2628C2214yes—
82#2628C2212yes—
83#2627C2214yes—
84#2608C2214yes—
85#2590C2214yes—
86#2590C2214yes—
87#2589C2214yes—
88#2588C2214yes—
89#2588C2214yes—
90#2587C2214yes—
91#2587C2214yes—
92#2586C2212yes—
93#2586C2212yes—
94#2585C2214yes—
95#2585C2214yes—
96#2584C2212yes—
97#2584C2214yes—
98#2584C2212yes—
99#2584C2212yes—
100#2584C2212yes—
101#2584C2212yes—
102#2584C2212yes—
103#2584C2212yes—
104#2584C2212yes—
105#2584C2212yes—
106#2582C2214yes—
107#2582C2211yescharacteristic
108#2581C2212yes—
109#2581C2212yes—
110#2580C2212yes—
111#2580C2212yes—
112#2574C2214yes—
113#2574C2212yes—
114#2574C2214yes—
115#2574C2212yes—
116#2571C2211yescharacteristic
117#2571C2211yescharacteristic
118#2571C2212yes—
119#2571C2212yes—
120#2570C2212yes—
121#2570C2212yes—
122#2569C2214yes—
123#2569C2214yes—
124#2567C2211yescharacteristic
125#2567C2211yescharacteristic
126#2567C2211yescharacteristic
127#2567C2212yes—
128#2566C2212yes—
129#2565C2212yes—
130#2563C2211yescharacteristic
131#2556C2214yes—
132#2552C2211yescharacteristic
133#2552C2212yes—
134#2552C2211yescharacteristic
135#2552C2212yes—
136#2552C2211yescharacteristic
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2551C2211yescharacteristic
142#2550C2212yes—
143#2550C2212yes—
144#2538C2211yescharacteristic
145#2538C2212yes—
146#2522C2214yes—
147#2522C2214yes—
148#2520C2214yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2214yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2509C2212yes—
158#2508C2212yes—
159#2508C2214yes—
160#2508C2212yes—
161#2508C2212yes—
162#2508C2214yes—
163#2508C2211yescharacteristic
164#2508C2214yes—
165#2508C2212yes—
166#2508C2211yescharacteristic
167#2507C2211yescharacteristic
168#2507C2214yes—
169#2507C2212yes—
170#2507C2212yes—
171#2507C2212yes—
172#2507C2214yes—
173#2507C2214yes—
174#2507C2214yes—
175#2507C2211yescharacteristic
176#2507C2212yes—
177#2506C2214yes—
178#2506C2212yes—
179#2506C2212yes—
180#2506C2212yes—
181#2506C2212yes—
182#2506C2212yes—
183#2506C2214yes—
184#2497C2214yes—
185#2497C2212yes—
186#2465C2214yes—
187#2462C2214yes—
188#2454C2212yes—
189#2454C2212yes—
190#2454C2211yescharacteristic
191#2454C2211yescharacteristic
192#2453C2212yes—
193#2453C2214yes—
194#2453C2214yes—
195#2453C2212yes—
196#2453C2212yes—
197#2453C2212yes—
198#2451C2212yes—
199#2451C2211yescharacteristic
200#2451C2211yescharacteristic
201#2442C2214yes—
202#2442C2214yes—
203#2442C2212yes—
204#2441C2214yes—
205#2441C2212yes—
206#2441C2212yes—
207#2441C2212yes—
208#2441C2214yes—
209#2440C2212yes—
210#2439C2212yes—
211#2438C2214yes—
212#2438C2214yes—
213#2423C2212yes—
214#2399C2212yes—
215#2399C2212yes—
216#2396C2214yes—
217#2396C2212yes—
218#2396C2212yes—
219#2378C2214yes—
220#2370C2212yes—
221#2370C2212yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2369C2211yescharacteristic
230#2369C2211yescharacteristic
231#2369C2211yescharacteristic
232#2365C2212yes—
233#2362C2214yes—
234#2362C2212yes—
235#2362C2212yes—
236#2360C2214yes—
237#2360C2212yes—
238#2357C2212yes—
239#2355C2211yescharacteristic
240#2355C2212yes—
241#2355C2212yes—
242#2355C2212yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2351C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254#2345C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2332C2214yes—
258#2330C2212yes—
259#2330C2212yes—
260#2330C2212yes—
261#2330C2212yes—
262#2329C2214yes—
263#2323C2212yes—
264#2323C2214yes—
265#2323C2212yes—
266#2319C2212yes—
267#2317C2212yes—
268#2317C2214yes—
269#2316C2212yes—
270#2316C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2212yes—
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285#2296C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292C2×#389C2212yes—
293#2285C2212yes—
294#2275C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#554Q8116yescomplemented
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#125C2312yes—
307C2×#125C2311yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C4×Q8C2311yescharacteristic
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2314yes—
348C2×#117C2312yes—
349C2×#117C2314yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2314yes—
352C22×C4⋊C4C2312yes—
353C22×C42C2312yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2312yes—
381#399C2314yes—
382#399C2312yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2312yes—
392#398C2314yes—
393#398C2312yes—
394#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2312yes—
426#396C2312yes—
427#396C2314yes—
428#396C2312yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2312yes—
433#395C2312yes—
434#395C2312yes—
435#395C2314yes—
436#395C2314yes—
437#395C2312yes—
438#395C2312yes—
439#395C2312yes—
440#395C2312yes—
441#395C2312yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2312yes—
450#395C2312yes—
451#395C2312yes—
452#393C2312yes—
453#393C2312yes—
454#393C2314yes—
455#393C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2314yes—
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2312yes—
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#381C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2412yes—
823C23×C4C2414yes—
824C4⋊Q8—24no—
825C4⋊Q8—44no—
826C4⋊Q8—42no—
827C4⋊Q8—42no—
828C4⋊Q8—42no—
829C4⋊Q8C2×Q818yes—
830#125—28no—
831#125—44no—
832#125—44no—
833#125—42no—
834#125—42no—
835#125—44no—
836#125—44no—
837#125—44no—
838#125—48no—
839#125—84no—
840#125—84no—
841#125—82no—
842#125C2×Q8116yes—
843C22⋊Q8—44no—
844C22⋊Q8—84no—
845C22⋊Q8C2×Q8132yes—
846C22⋊Q8C2×Q8116yes—
847C4×Q8—24no—
848C4×Q8—42no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×Q8—42no—
856C4×Q8—44no—
857C4×Q8—42no—
858C4×Q8—42no—
859C4×Q8—82no—
860C4×Q8—84no—
861C4×Q8—82no—
862C4×Q8C2×Q818yes—
863C4×D4—24no—
864C4×D4—42no—
865C4×D4—44no—
866C4×D4C2×Q8116yes—
867C4×D4C2×Q818yes—
868#117—44no—
869#117—44no—
870#117—48no—
871#117—44no—
872#117—44no—
873#117—84no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4—84no—
876C2×C4⋊C4C2×Q8116yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C42—44no—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
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—
1128C24C2512yes—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—41no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—42no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×Q8—42no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8C22×Q814yes—
1149C2×Q8C22×Q818yes—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4C22×Q814yes—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4C22×Q818yes—
1167C22×C4C22×Q8116yes—
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C22×C4C2514yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2511yescharacteristic
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2511yescharacteristic
1179C22×C4C2511yescharacteristic
1180C22×C4C2514yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—44no—
1231C4⋊C4—42no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—41no—
1243C4⋊C4—42no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—41no—
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—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
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—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4C22×Q814yes—
1302C4⋊C4C22×Q8116yes—
1303C4⋊C4C22×Q818yes—
1304C4⋊C4C22×Q814yes—
1305C4⋊C4C22×Q818yes—
1306C4⋊C4C22×Q818yes—
1307C4⋊C4C22×Q8116yes—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4C22×Q8116yes—
1324C22⋊C4C22×Q818yes—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—24no—
1329C42—22no—
1330C42—24no—
1331C42—22no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—22no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—42no—
1345C42—42no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—42no—
1352C42—41no—
1353C42—41no—
1354C42—44no—
1355C42—42no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—41no—
1360C42—41no—
1361C42—44no—
1362C42—44no—
1363C42—41no—
1364C42—42no—
1365C42C22×Q818yes—
1366C42C22×Q814yes—
1367C422−1+414yes—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23C23×Q814yes—
1375C23C2611yescharacteristic
1376Q8—28no—
1377Q8—48no—
1378Q8—44no—
1379Q8—48no—
1380Q8—84no—
1381Q8—84no—
1382Q8—84no—
1383D4—28no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—24no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—216no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—416no—
1474C2×C4—84no—
1475C2×C4—84no—
1476C2×C4—164no—
1477C2×C4C23×Q814yes—
1478C2×C4C23×Q812yes—
1479C2×C4C23×Q814yes—
1480C2×C4C23×Q814yes—
1481C2×C4C23×Q818yes—
1482C2×C4C23×Q812yes—
1483C2×C4C23×Q812yes—
1484C2×C4C2×2−1+412yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4#58512yes—
1488C2×C4#58512yes—
1489C2×C4#58512yes—
1490C2×C4#58512yes—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22C24×Q811yescharacteristic
1499C22C22×2−1+411yescharacteristic
1500C22C2×#58511yescharacteristic
1501C22C2×#58511yescharacteristic
1502C22C2×#58511yescharacteristic
1503C22C2×#58511yescharacteristic
1504C22H(7,𝔽2)11yescharacteristic
1505C4—24no—
1506C4—28no—
1507C4—22no—
1508C4—24no—
1509C4—24no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—41no—
1514C4—42no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—41no—
1520C4—41no—
1521C4—44no—
1522C4—42no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—44no—
1527C4—42no—
1528C4—42no—
1529C4—41no—
1530C4—42no—
1531C4—42no—
1532C4—41no—
1533C4—44no—
1534C4—42no—
1535C4—42no—
1536C4—41no—
1537C4#350214yes—
1538C4#350414yes—
1539C2—44no—
1540C2C2×#350211yescharacteristic
1541C2C2×#350411yescharacteristic
1542C2#6283111yescharacteristic
1543C2#6292611yescharacteristic
1544C2#6293711yescharacteristic
1545C2#6298911yescharacteristic
1546C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59872C2semidirect
2. #59871C2semidirect
3. #59756C2semidirect
4. #59665C2semidirect
5. #59665C2semidirect
6. #47980C2semidirect
7. #47967C2semidirect
8. #46446C2semidirect
9. #45427C2semidirect
10. #45190C2semidirect
11. #45180C2semidirect
12. #45164C2semidirect
13. #44923C2semidirect
15. #42491C2semidirect
16. #39754C2semidirect
17. #39683C2semidirect
18. #39603C2semidirect
21. #39183C2semidirect
23. #38963C2semidirect
24. #36574C2semidirect
25. #36447C2semidirect
28. #35708C2semidirect
30. #35585C2semidirect
31. #34950C2semidirect
299. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#598722
#598712
#597562
#596652
#479802
#479672
#464462
#454272
#451902
#451802
#451642
#449232
#424952
#424912
#397542
#396832
#396032
#394982
#391832
#389652
#389632
#365742
#364472
#364162
#359522
#357082
#356122
#355852
#349502
#349412
#344842
#343322
#343172