Finite Group Databasebeta

← #7987499

Subgroups — #7987499

Order 512.

4239 conjugacy classes of subgroups.

The subgroup lattice has 1549 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59925C212yesmaximal, complemented
2#59922C212yesmaximal, complemented
3#59869C211yesmaximal, characteristic, complemented
4#59668C211yesmaximal, characteristic, complemented
5#59665C211yesmaximal, characteristic, complemented
6#51792C214yesmaximal, complemented
7#51789C214yesmaximal, complemented
8#45797C214yesmaximal, complemented
9#45426C212yesmaximal, complemented
10#45275C212yesmaximal, complemented
11#45180C212yesmaximal, complemented
12#45164C212yesmaximal, complemented
13#42493C212yesmaximal
14#42493C212yesmaximal
15#42491C212yesmaximal, complemented
16#42488C212yesmaximal, complemented
17#39695C212yesmaximal, complemented
18#39695C214yesmaximal, complemented
19#39638C212yesmaximal, complemented
20#39498C211yesmaximal, characteristic
21#39182C211yesmaximal, characteristic, complemented
22#39180C211yesmaximal, characteristic, complemented
23#38964C211yesmaximal, characteristic
24#36584C211yesmaximal, characteristic, complemented
25#36574C211yesmaximal, characteristic, complemented
26#36425C212yesmaximal, complemented
27#36416C211yesmaximal, characteristic
28#36416C212yesmaximal
29#35175C212yesmaximal
30#35159C212yesmaximal, complemented
31#34950C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic
34#34484C211yesmaximal, characteristic
35C4×#554C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37#2859C2211yescharacteristic
38#2859C2211yescharacteristic
39#2859C2212yes—
40#2859C2211yescharacteristic
41#2855C2214yes—
42#2851C2212yes—
43#2851C2214yes—
44#2851C2214yes—
45#2841C2214yes—
46#2841C2214yes—
47#2809C2214yes—
48#2807C2214yes—
49#2807C2214yes—
50#2807C2214yes—
51#2806C2214yes—
52#2805C2214yes—
53#2805C2214yes—
54#2805C2214yes—
55#2802C2214yes—
56#2802C2214yes—
57#2799C2214yes—
58#2792C2214yes—
59#2791C2214yes—
60#2788C2214yes—
61#2774C2214yes—
62#2774C2214yes—
63#2774C2214yes—
64#2774C2214yes—
65#2768C2214yes—
66#2768C2214yes—
67#2763C2214yes—
68#2763C2214yes—
69#2763C2214yes—
70#2755C2214yes—
71#2755C2214yes—
72#2755C2214yes—
73#2755C2214yes—
74#2734C2214yes—
75#2729C2214yes—
76#2729C2214yes—
77#2726C2214yes—
78#2720C2214yes—
79#2713C2214yes—
80#2667C2214yes—
81#2665C2214yes—
82#2647C2212yes—
83#2647C2212yes—
84#2646C2214yes—
85#2646C2214yes—
86#2628C2212yes—
87#2628C2212yes—
88#2628C2214yes—
89#2628C2214yes—
90#2590C2214yes—
91#2590C2214yes—
92#2589C2212yes—
93#2589C2214yes—
94#2589C2214yes—
95#2589C2214yes—
96#2589C2214yes—
97#2588C2214yes—
98#2587C2214yes—
99#2587C2214yes—
100#2587C2214yes—
101#2587C2214yes—
102#2587C2212yes—
103#2586C2212yes—
104#2586C2214yes—
105#2586C2214yes—
106#2586C2214yes—
107#2586C2212yes—
108#2585C2214yes—
109#2585C2214yes—
110#2584C2212yes—
111#2584C2212yes—
112#2584C2212yes—
113#2584C2212yes—
114#2584C2211yescharacteristic
115#2584C2212yes—
116#2584C2212yes—
117#2582C2212yes—
118#2582C2211yescharacteristic
119#2581C2212yes—
120#2580C2212yes—
121#2580C2212yes—
122#2580C2212yes—
123#2580C2211yescharacteristic
124#2574C2214yes—
125#2571C2212yes—
126#2571C2211yescharacteristic
127#2571C2211yescharacteristic
128#2571C2211yescharacteristic
129#2571C2212yes—
130#2571C2212yes—
131#2568C2212yes—
132#2568C2214yes—
133#2567C2212yes—
134#2567C2211yescharacteristic
135#2567C2211yescharacteristic
136#2566C2211yescharacteristic
137#2566C2212yes—
138#2556C2214yes—
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2552C2212yes—
142#2551C2211yescharacteristic
143#2551C2212yes—
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2550C2212yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2214yes—
150#2550C2212yes—
151#2550C2211yescharacteristic
152#2546C2212yes—
153#2546C2212yes—
154#2546C2212yes—
155#2522C2212yes—
156#2520C2214yes—
157#2509C2214yes—
158#2509C2214yes—
159#2509C2212yes—
160#2509C2214yes—
161#2509C2212yes—
162#2509C2212yes—
163#2509C2212yes—
164#2509C2212yes—
165#2509C2211yescharacteristic
166#2509C2214yes—
167#2509C2212yes—
168#2509C2212yes—
169#2508C2212yes—
170#2508C2214yes—
171#2508C2212yes—
172#2508C2212yes—
173#2508C2214yes—
174#2508C2212yes—
175#2508C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2508C2212yes—
179#2507C2212yes—
180#2507C2212yes—
181#2507C2214yes—
182#2507C2214yes—
183#2507C2211yescharacteristic
184#2507C2211yescharacteristic
185#2507C2212yes—
186#2507C2211yescharacteristic
187#2506C2212yes—
188#2506C2212yes—
189#2506C2212yes—
190#2506C2214yes—
191#2465C2212yes—
192#2454C2212yes—
193#2454C2211yescharacteristic
194#2453C2212yes—
195#2453C2212yes—
196#2453C2214yes—
197#2453C2212yes—
198#2453C2212yes—
199#2452C2212yes—
200#2452C2211yescharacteristic
201#2451C2211yescharacteristic
202#2451C2214yes—
203#2451C2211yescharacteristic
204#2451C2212yes—
205#2442C2212yes—
206#2441C2212yes—
207#2441C2214yes—
208#2441C2212yes—
209#2440C2212yes—
210#2439C2212yes—
211#2439C2214yes—
212#2439C2212yes—
213#2438C2214yes—
214#2438C2214yes—
215#2399C2212yes—
216#2399C2212yes—
217#2396C2212yes—
218#2396C2212yes—
219#2378C2214yes—
220#2378C2214yes—
221#2370C2212yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2369C2214yes—
230#2369C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2214yes—
235#2362C2212yes—
236#2362C2212yes—
237#2360C2212yes—
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2355C2212yes—
241#2355C2212yes—
242#2355C2212yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2212yes—
247#2351C2212yes—
248#2351C2212yes—
249#2351C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252#2349C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254#2345C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2331C2212yes—
258#2330C2212yes—
259#2330C2212yes—
260#2330C2212yes—
261#2323C2214yes—
262#2323C2214yes—
263#2323C2212yes—
264#2323C2212yes—
265#2319C2212yes—
266#2319C2212yes—
267#2317C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2316C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282C4×#125C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2214yes—
285C4×C22⋊Q8C2212yes—
286#2296C2214yes—
287#2296C2212yes—
288#2296C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299#554Q8116yescomplemented
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2314yes—
349C2×#117C2314yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C42C2312yes—
353C22×C42C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2312yes—
384#399C2312yes—
385#399C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
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#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#396C2314yes—
423#396C2312yes—
424#396C2312yes—
425#396C2314yes—
426#396C2312yes—
427#396C2312yes—
428#396C2314yes—
429#396C2314yes—
430#395C2312yes—
431#395C2314yes—
432#395C2312yes—
433#395C2314yes—
434#395C2312yes—
435#395C2312yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2312yes—
442#395C2312yes—
443#395C2312yes—
444#395C2312yes—
445#395C2314yes—
446#395C2314yes—
447#395C2312yes—
448#395C2312yes—
449#395C2314yes—
450#393C2312yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2312yes—
455#393C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2314yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
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#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2314yes—
721#381C2314yes—
722#381C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×D4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C4⋊Q8—42no—
826C4⋊Q8—44no—
827C4⋊Q8—42no—
828C4⋊Q8—42no—
829C4⋊Q8—42no—
830C4⋊Q8—44no—
831C4⋊Q8—48no—
832C4⋊Q8—44no—
833C4⋊Q8—84no—
834C4⋊Q8C2×Q818yes—
835#125—24no—
836#125—28no—
837#125—44no—
838#125—44no—
839#125—42no—
840#125—44no—
841#125—84no—
842#125—84no—
843#125—82no—
844#125C2×Q8116yes—
845C22⋊Q8—44no—
846C22⋊Q8—84no—
847C22⋊Q8C2×Q8132yes—
848C22⋊Q8C2×Q8116yes—
849C4×Q8—24no—
850C4×Q8—44no—
851C4×Q8—42no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×Q8—44no—
856C4×Q8—42no—
857C4×Q8—42no—
858C4×Q8—44no—
859C4×Q8—44no—
860C4×Q8—42no—
861C4×Q8—82no—
862C4×Q8—82no—
863C4×Q8C2×Q818yes—
864C4×D4—24no—
865C4×D4—44no—
866C4×D4—42no—
867C4×D4C2×Q8116yes—
868C4×D4C2×Q818yes—
869#117—44no—
870#117—44no—
871#117—48no—
872#117—44no—
873#117—44no—
874#117—84no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4C2×Q8116yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C42—44no—
998C2×C42—84no—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128C24C2512yes—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—41no—
1135C2×Q8—42no—
1136C2×Q8—41no—
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×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8C22×Q814yes—
1152C2×Q8C22×Q818yes—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4C22×Q814yes—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—42no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4C22×Q818yes—
1170C22×C4C22×Q8116yes—
1171C22×C4C2511yescharacteristic
1172C22×C4C2511yescharacteristic
1173C22×C4C2512yes—
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2514yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2514yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—28no—
1210C4⋊C4—24no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
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—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—41no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
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—41no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
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—22no—
1331C42—24no—
1332C42—28no—
1333C42—24no—
1334C42—24no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—22no—
1344C42—42no—
1345C42—42no—
1346C42—42no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—42no—
1356C42—42no—
1357C42—41no—
1358C42—41no—
1359C42—44no—
1360C42—44no—
1361C42—41no—
1362C42—41no—
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—84no—
1380Q8—84no—
1381Q8—84no—
1382Q8—84no—
1383Q8—164no—
1384D4—28no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—24no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—22no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—216no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—24no—
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—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—416no—
1475C2×C4—48no—
1476C2×C4—84no—
1477C2×C4—88no—
1478C2×C4C23×Q814yes—
1479C2×C4C23×Q812yes—
1480C2×C4C23×Q814yes—
1481C2×C4C23×Q814yes—
1482C2×C4C23×Q818yes—
1483C2×C4C23×Q812yes—
1484C2×C4C23×Q812yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4#58512yes—
1489C2×C4#58512yes—
1490C2×C4#58512yes—
1491C2×C4#58512yes—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22C24×Q811yescharacteristic
1500C22C22×2−1+411yescharacteristic
1501C22C2×#58511yescharacteristic
1502C22C2×#58511yescharacteristic
1503C22C2×#58511yescharacteristic
1504C22C2×#58511yescharacteristic
1505C22H(7,𝔽2)11yescharacteristic
1506C4—24no—
1507C4—28no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—24no—
1512C4—24no—
1513C4—22no—
1514C4—42no—
1515C4—44no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—41no—
1524C4—42no—
1525C4—41no—
1526C4—41no—
1527C4—42no—
1528C4—44no—
1529C4—42no—
1530C4—41no—
1531C4—41no—
1532C4—42no—
1533C4—44no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4#350214yes—
1539C4#350414yes—
1540C2—44no—
1541C2#6276111yescharacteristic
1542C2C2×#350211yescharacteristic
1543C2C2×#350411yescharacteristic
1544C2#6292611yescharacteristic
1545C2#6293811yescharacteristic
1546C2#6298911yescharacteristic
1547C2#6302811yescharacteristic
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. #59925C2semidirect
2. #59922C2semidirect
3. #59869C2semidirect
4. #59668C2semidirect
5. #59665C2semidirect
6. #51792C2semidirect
7. #51789C2semidirect
8. #45797C2semidirect
9. #45426C2semidirect
10. #45275C2semidirect
11. #45180C2semidirect
12. #45164C2semidirect
15. #42491C2semidirect
16. #42488C2semidirect
17. #39695C2semidirect
18. #39695C2semidirect
19. #39638C2semidirect
21. #39182C2semidirect
22. #39180C2semidirect
24. #36584C2semidirect
25. #36574C2semidirect
26. #36425C2semidirect
30. #35159C2semidirect
31. #34950C2semidirect
299. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#599252
#599222
#598692
#596682
#596652
#517922
#517892
#457972
#454262
#452752
#451802
#451642
#424932
#424912
#424882
#396952
#396382
#394982
#391822
#391802
#389642
#365842
#365742
#364252
#364162
#351752
#351592
#349502
#348932
#344842
C4×#5542