Finite Group Databasebeta

← #7646525

Subgroups — #7646525

Order 512.

4240 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42955C212yesmaximal, complemented
2#42953C212yesmaximal
3#42932C212yesmaximal, complemented
4#42930C212yesmaximal
5#42189C214yesmaximal, complemented
6#42188C214yesmaximal, complemented
7#39754C211yesmaximal, characteristic, complemented
8#39753C211yesmaximal, characteristic, complemented
9#39498C211yesmaximal, characteristic, complemented
10#39497C211yesmaximal, characteristic, complemented
11#39182C211yesmaximal, characteristic, complemented
12#39180C211yesmaximal, characteristic, complemented
13#38966C211yesmaximal, characteristic, complemented
14#38964C211yesmaximal, characteristic, complemented
15#38106C212yesmaximal, complemented
16#38104C212yesmaximal, complemented
17#37879C212yesmaximal, complemented
18#37878C212yesmaximal, complemented
19#37567C212yesmaximal, complemented
20#37565C212yesmaximal, complemented
21#36756C214yesmaximal, complemented
22#36755C214yesmaximal, complemented
23#35643C212yesmaximal, complemented
24#35642C212yesmaximal, complemented
25#35294C211yesmaximal, characteristic, complemented
26#35239C211yesmaximal, characteristic, complemented
27#35235C212yesmaximal, complemented
28#35181C212yesmaximal, complemented
29#35175C212yesmaximal, complemented
30#35175C212yesmaximal, complemented
31#34948C211yesmaximal, characteristic, complemented
32#34912C211yesmaximal, characteristic, complemented
33#34193C211yesmaximal, characteristic
34#34127C211yesmaximal, characteristic
35#34060C211yesmaximal, characteristic
36C2×C4×#41C2211yescharacteristic
37#2868C2211yescharacteristic
38#2859C2211yescharacteristic
39#2859C2211yescharacteristic
40#2859C2211yescharacteristic
41#2857C2212yes—
42#2855C2214yes—
43#2855C2214yes—
44#2851C2214yes—
45#2851C2214yes—
46#2851C2212yes—
47#2843C2214yes—
48#2843C2214yes—
49#2841C2214yes—
50#2841C2214yes—
51#2807C2214yes—
52#2805C2214yes—
53#2804C2214yes—
54#2802C2214yes—
55#2791C2214yes—
56#2790C2214yes—
57#2790C2214yes—
58#2790C2214yes—
59#2788C2214yes—
60#2788C2214yes—
61#2784C2214yes—
62#2780C2214yes—
63#2780C2214yes—
64#2780C2214yes—
65#2774C2214yes—
66#2768C2214yes—
67#2768C2214yes—
68#2768C2214yes—
69#2763C2214yes—
70#2763C2214yes—
71#2755C2214yes—
72#2755C2214yes—
73#2748C2214yes—
74#2742C2214yes—
75#2732C2214yes—
76#2729C2214yes—
77#2726C2214yes—
78#2720C2214yes—
79#2720C2214yes—
80#2713C2214yes—
81#2704C2214yes—
82#2692C2214yes—
83#2667C2214yes—
84#2667C2214yes—
85#2667C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2666C2214yes—
91#2665C2214yes—
92#2665C2214yes—
93#2665C2214yes—
94#2660C2212yes—
95#2660C2212yes—
96#2647C2212yes—
97#2647C2212yes—
98#2646C2214yes—
99#2646C2214yes—
100#2629C2212yes—
101#2629C2212yes—
102#2629C2212yes—
103#2628C2212yes—
104#2628C2212yes—
105#2628C2212yes—
106#2612C2214yes—
107#2612C2214yes—
108#2608C2212yes—
109#2607C2212yes—
110#2606C2214yes—
111#2606C2214yes—
112#2606C2212yes—
113#2605C2214yes—
114#2605C2214yes—
115#2605C2212yes—
116#2590C2214yes—
117#2589C2214yes—
118#2589C2214yes—
119#2588C2214yes—
120#2587C2214yes—
121#2587C2214yes—
122#2586C2214yes—
123#2585C2214yes—
124#2584C2212yes—
125#2584C2212yes—
126#2584C2212yes—
127#2582C2212yes—
128#2581C2212yes—
129#2580C2212yes—
130#2580C2212yes—
131#2574C2214yes—
132#2574C2214yes—
133#2571C2211yescharacteristic
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2571C2211yescharacteristic
137#2571C2212yes—
138#2571C2214yes—
139#2570C2214yes—
140#2570C2214yes—
141#2570C2212yes—
142#2570C2212yes—
143#2570C2211yescharacteristic
144#2570C2211yescharacteristic
145#2570C2212yes—
146#2570C2212yes—
147#2570C2212yes—
148#2570C2212yes—
149#2570C2212yes—
150#2569C2214yes—
151#2569C2214yes—
152#2568C2212yes—
153#2567C2212yes—
154#2566C2212yes—
155#2566C2212yes—
156#2565C2212yes—
157#2556C2214yes—
158#2556C2214yes—
159#2552C2211yescharacteristic
160#2552C2211yescharacteristic
161#2552C2212yes—
162#2552C2212yes—
163#2552C2211yescharacteristic
164#2552C2211yescharacteristic
165#2552C2212yes—
166#2552C2214yes—
167#2551C2211yescharacteristic
168#2550C2212yes—
169#2550C2212yes—
170#2550C2212yes—
171#2550C2212yes—
172#2550C2212yes—
173#2550C2211yescharacteristic
174#2550C2211yescharacteristic
175#2550C2212yes—
176#2550C2212yes—
177#2550C2212yes—
178#2549C2214yes—
179#2520C2214yes—
180#2520C2214yes—
181#2511C2214yes—
182#2509C2212yes—
183#2508C2212yes—
184#2508C2212yes—
185#2508C2212yes—
186#2508C2212yes—
187#2507C2212yes—
188#2507C2214yes—
189#2506C2212yes—
190#2506C2212yes—
191#2454C2212yes—
192#2454C2212yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2452C2212yes—
197#2452C2212yes—
198#2451C2212yes—
199#2442C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2441C2211yescharacteristic
207#2441C2211yescharacteristic
208#2441C2212yes—
209#2441C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2439C2212yes—
214#2439C2212yes—
215#2439C2211yescharacteristic
216#2439C2211yescharacteristic
217#2439C2212yes—
218#2439C2212yes—
219#2438C2214yes—
220#2402C2214yes—
221#2396C2212yes—
222#2396C2212yes—
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2354C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2212yes—
228#2354C2212yes—
229#2352C2212yes—
230#2352C2212yes—
231Q8×C4⋊C4C2211yescharacteristic
232Q8×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235#2347C2212yes—
236#2347C2212yes—
237#2347C2214yes—
238#2343C2214yes—
239#2341C2212yes—
240#2339C2212yes—
241#2331C2212yes—
242#2331C2212yes—
243#2331C2212yes—
244#2331C2212yes—
245#2330C2212yes—
246#2330C2212yes—
247#2330C2212yes—
248#2330C2212yes—
249#2320C2211yescharacteristic
250#2320C2211yescharacteristic
251#2319C2211yescharacteristic
252#2319C2211yescharacteristic
253#2319C2212yes—
254#2319C2214yes—
255#2318C2212yes—
256#2318C2212yes—
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2212yes—
260#2317C2212yes—
261#2317C2212yes—
262#2317C2212yes—
263#2314C2212yes—
264#2314C2212yes—
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#125C2212yes—
273#2296C2212yes—
274#2295C2211yescharacteristic
275#2295C2211yescharacteristic
276#2295C2212yes—
277#2295C2212yes—
278#2295C2212yes—
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2290C2212yes—
282#2290C2212yes—
283#2290C2214yes—
284#2285C2212yes—
285#2285C2211yescharacteristic
286#2285C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2283C2212yes—
290#2283C2212yes—
291#2283C2211yescharacteristic
292#2283C2212yes—
293#2276C2212yes—
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C4×#41Q8116yescomplemented
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2312yes—
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2312yes—
339C2×#117C2312yes—
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C42C2312yes—
351C22×C42C2314yes—
352C22×C42C2311yescharacteristic
353C22×C42C2312yes—
354#400C2314yes—
355#400C2314yes—
356#400C2312yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2312yes—
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#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2312yes—
382#399C2312yes—
383#399C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2312yes—
431#396C2312yes—
432#396C2312yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2312yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2312yes—
456#393C2312yes—
457#393C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2314yes—
489#390C2314yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2314yes—
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2314yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#383C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#381C2312yes—
715#381C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798#376C2311yescharacteristic
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C2×#95C2312yes—
807C2×#95C2314yes—
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2311yescharacteristic
811C2×#41—42no—
812C2×#41—42no—
813C2×#41C2×Q818yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—42no—
836C4⋊Q8—44no—
837C4⋊Q8—82no—
838#125—44no—
839#125—42no—
840#125—44no—
841#125—44no—
842#125—44no—
843#125—44no—
844#125—44no—
845#125—42no—
846#125—84no—
847#125—84no—
848#125—82no—
849C22⋊Q8—84no—
850C22⋊Q8—84no—
851C22⋊Q8—84no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×Q8—44no—
856C4×Q8C2×Q818yes—
857C4×Q8C2×Q818yes—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4C2×Q818yes—
861C4×D4C2×Q8116yes—
862C4×D4C2×Q818yes—
863C4×D4C2×Q8116yes—
864#117—44no—
865#117—44no—
866#117—42no—
867#117—42no—
868#117—42no—
869#117—42no—
870#117—44no—
871#117—44no—
872#117—44no—
873#117—82no—
874#117C2×Q818yes—
875#117C2×Q8116yes—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—42no—
879C2×C4⋊C4—42no—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—44no—
1000C2×C42—84no—
1001C2×C42C2×Q818yes—
1002C2×C42C2×Q8116yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130C24C2511yescharacteristic
1131C24C2512yes—
1132#41—416no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8C22×Q814yes—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4C22×Q814yes—
1153C2×D4C22×Q818yes—
1154C22×C4—22no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—42no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4C22×Q814yes—
1179C22×C4C22×Q818yes—
1180C22×C4C22×Q814yes—
1181C22×C4C22×Q818yes—
1182C22×C4C22×Q814yes—
1183C22×C4C22×Q818yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4C22×Q818yes—
1306C4⋊C4C22×Q818yes—
1307C4⋊C4C22×Q814yes—
1308C4⋊C4C22×Q814yes—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4C22×Q818yes—
1334C22⋊C4C22×Q818yes—
1335C22⋊C4C22×Q818yes—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—42no—
1351C42—42no—
1352C42—42no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—41no—
1357C42—41no—
1358C42—42no—
1359C42—44no—
1360C42—42no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—41no—
1367C42—41no—
1368C42C22×Q814yes—
1369C42C22×Q814yes—
1370C42C22×Q818yes—
1371C42C22×Q818yes—
1372C42C22×Q814yes—
1373C42C22×Q818yes—
1374C42C22×Q814yes—
1375C23—21no—
1376C23—22no—
1377C23—22no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—22no—
1382C23—22no—
1383C23—21no—
1384C23—22no—
1385C23—22no—
1386C23—21no—
1387C23C23×Q812yes—
1388C23C23×Q814yes—
1389C23C2611yescharacteristic
1390Q8—28no—
1391Q8—84no—
1392Q8—84no—
1393Q8—164no—
1394Q8—164no—
1395D4—28no—
1396D4—48no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—28no—
1412C2×C4—28no—
1413C2×C4—216no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—48no—
1487C2×C4—44no—
1488C2×C4—48no—
1489C2×C4—84no—
1490C2×C4—84no—
1491C2×C4—88no—
1492C2×C4—88no—
1493C2×C4C23×Q812yes—
1494C2×C4C23×Q812yes—
1495C2×C4C23×Q812yes—
1496C2×C4C23×Q814yes—
1497C2×C4C23×Q814yes—
1498C2×C4C23×Q812yes—
1499C2×C4C23×Q814yes—
1500C2×C4C23×Q812yes—
1501C2×C4C23×Q812yes—
1502C2×C4#58512yes—
1503C2×C4#58512yes—
1504C2×C4#58512yes—
1505C2×C4#58512yes—
1506C22—22no—
1507C22—24no—
1508C22—22no—
1509C22—24no—
1510C22—22no—
1511C22—24no—
1512C22—41no—
1513C22—42no—
1514C22—42no—
1515C22—41no—
1516C22—41no—
1517C22—42no—
1518C22—42no—
1519C22—41no—
1520C22C24×Q811yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22C2×#58511yescharacteristic
1523C22C2×#58511yescharacteristic
1524C22C2×#58511yescharacteristic
1525C22H(7,𝔽2)11yescharacteristic
1526C222−1+611yescharacteristic
1527C4—22no—
1528C4—24no—
1529C4—22no—
1530C4—24no—
1531C4—22no—
1532C4—22no—
1533C4—24no—
1534C4—41no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—44no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—44no—
1549C4—42no—
1550C4—42no—
1551C4—41no—
1552C4—41no—
1553C4—42no—
1554C4—42no—
1555C4—44no—
1556C4—44no—
1557C4—41no—
1558C4#345814yes—
1559C4#350414yes—
1560C2—42no—
1561C2—44no—
1562C2C2×#345811yescharacteristic
1563C2C2×#350411yescharacteristic
1564C2#6285411yescharacteristic
1565C2#6293611yescharacteristic
1566C2#6293811yescharacteristic
1567C2#6296711yescharacteristic
1568C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42955C2semidirect
3. #42932C2semidirect
5. #42189C2semidirect
6. #42188C2semidirect
7. #39754C2semidirect
8. #39753C2semidirect
9. #39498C2semidirect
10. #39497C2semidirect
11. #39182C2semidirect
12. #39180C2semidirect
13. #38966C2semidirect
14. #38964C2semidirect
15. #38106C2semidirect
16. #38104C2semidirect
17. #37879C2semidirect
18. #37878C2semidirect
19. #37567C2semidirect
20. #37565C2semidirect
21. #36756C2semidirect
22. #36755C2semidirect
23. #35643C2semidirect
24. #35642C2semidirect
25. #35294C2semidirect
26. #35239C2semidirect
27. #35235C2semidirect
28. #35181C2semidirect
29. #35175C2semidirect
30. #35175C2semidirect
31. #34948C2semidirect
32. #34912C2semidirect
321. C4×#41Q8semidirect

Maximal subgroups

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

subgroupindex
#429552
#429532
#429322
#429302
#421892
#421882
#397542
#397532
#394982
#394972
#391822
#391802
#389662
#389642
#381062
#381042
#378792
#378782
#375672
#375652
#367562
#367552
#356432
#356422
#352942
#352392
#352352
#351812
#351752
#349482
#349122
#341932
#341272
#340602