Finite Group Databasebeta

← #7681243

Subgroups — #7681243

Order 512.

4470 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59963C212yesmaximal, complemented
2#59715C212yesmaximal
3#59669C212yesmaximal, complemented
4#59574C212yesmaximal
5#59547C212yesmaximal, complemented
6#59506C212yesmaximal
7#59502C212yesmaximal
8#59464C212yesmaximal, complemented
9#44746C214yesmaximal
10#44694C214yesmaximal, complemented
11#43486C214yesmaximal
12#43456C214yesmaximal, complemented
13#39724C211yesmaximal, characteristic
14#39597C211yesmaximal, characteristic
15#38986C211yesmaximal, characteristic, complemented
16#38984C212yesmaximal, complemented
17#38976C211yesmaximal, characteristic, complemented
18#38970C212yesmaximal, complemented
19#37981C212yesmaximal
20#37793C212yesmaximal
21#36497C211yesmaximal, characteristic, complemented
22#36474C211yesmaximal, characteristic, complemented
23#36193C211yesmaximal, characteristic
24#36133C211yesmaximal, characteristic
25#35656C212yesmaximal, complemented
26#35583C212yesmaximal, complemented
27#35324C212yesmaximal
28#35291C211yesmaximal, characteristic
29#34951C211yesmaximal, characteristic, complemented
30#34950C211yesmaximal, characteristic, complemented
31#34335C211yesmaximal, characteristic, complemented
32#34328C211yesmaximal, characteristic, complemented
33#34225C212yesmaximal
34#34145C211yesmaximal, characteristic
35C4×#541C211yesmaximal, characteristic
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#541C2211yescharacteristic
39C2×#533C2212yes—
40C2×#533C2211yescharacteristic
41#2864C2212yes—
42#2862C2212yes—
43#2862C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2789C2214yes—
50#2776C2214yes—
51#2776C2214yes—
52#2774C2214yes—
53#2774C2214yes—
54#2774C2214yes—
55#2767C2214yes—
56#2767C2214yes—
57#2766C2214yes—
58#2766C2214yes—
59#2762C2214yes—
60#2762C2214yes—
61#2758C2214yes—
62#2745C2214yes—
63#2738C2214yes—
64#2726C2214yes—
65#2719C2214yes—
66#2719C2214yes—
67#2719C2214yes—
68#2713C2214yes—
69#2698C2214yes—
70#2690C2214yes—
71#2689C2214yes—
72#2677C2214yes—
73#2645C2212yes—
74#2645C2212yes—
75#2645C2212yes—
76#2628C2212yes—
77#2625C2212yes—
78#2621C2212yes—
79#2612C2214yes—
80#2611C2214yes—
81#2606C2214yes—
82#2605C2214yes—
83#2599C2214yes—
84#2590C2214yes—
85#2588C2214yes—
86#2588C2214yes—
87#2588C2214yes—
88#2588C2214yes—
89#2586C2214yes—
90#2585C2214yes—
91#2585C2214yes—
92#2582C2211yescharacteristic
93#2582C2211yescharacteristic
94#2581C2212yes—
95#2581C2212yes—
96#2581C2214yes—
97#2575C2214yes—
98#2575C2214yes—
99#2571C2212yes—
100#2570C2212yes—
101#2570C2212yes—
102#2568C2212yes—
103#2568C2211yescharacteristic
104#2568C2214yes—
105#2567C2211yescharacteristic
106#2567C2212yes—
107#2567C2211yescharacteristic
108#2552C2211yescharacteristic
109#2551C2212yes—
110#2551C2211yescharacteristic
111#2550C2212yes—
112#2550C2212yes—
113#2550C2214yes—
114#2550C2212yes—
115#2550C2214yes—
116#2550C2214yes—
117#2550C2212yes—
118#2546C2211yescharacteristic
119#2546C2212yes—
120#2546C2212yes—
121#2533C2214yes—
122#2533C2214yes—
123#2533C2214yes—
124#2528C2214yes—
125#2528C2214yes—
126#2528C2214yes—
127#2528C2214yes—
128#2528C2214yes—
129#2528C2214yes—
130#2527C2214yes—
131#2527C2214yes—
132#2524C2214yes—
133#2524C2214yes—
134#2524C2214yes—
135#2520C2214yes—
136#2520C2214yes—
137#2520C2214yes—
138#2514C2212yes—
139#2514C2212yes—
140#2514C2212yes—
141#2514C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2511C2212yes—
147#2509C2212yes—
148#2509C2212yes—
149#2508C2212yes—
150#2508C2212yes—
151#2508C2212yes—
152#2507C2212yes—
153#2507C2212yes—
154#2507C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2495C2212yes—
159#2494C2212yes—
160#2492C2212yes—
161#2489C2212yes—
162#2489C2212yes—
163#2478C2214yes—
164#2478C2214yes—
165#2462C2214yes—
166#2462C2214yes—
167#2462C2214yes—
168#2462C2214yes—
169#2462C2214yes—
170#2453C2212yes—
171#2453C2212yes—
172#2453C2214yes—
173#2453C2212yes—
174#2453C2212yes—
175#2451C2212yes—
176#2451C2212yes—
177#2451C2212yes—
178#2451C2214yes—
179#2451C2212yes—
180#2446C2214yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2446C2212yes—
185#2446C2212yes—
186#2442C2212yes—
187#2440C2212yes—
188#2438C2214yes—
189#2438C2214yes—
190#2423C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2402C2214yes—
194#2399C2214yes—
195#2371C2214yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2214yes—
200#2370C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2369C2211yescharacteristic
204#2369C2212yes—
205#2369C2211yescharacteristic
206#2369C2211yescharacteristic
207#2368C2212yes—
208#2368C2212yes—
209#2365C2211yescharacteristic
210#2365C2212yes—
211#2365C2212yes—
212#2365C2214yes—
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2212yes—
216#2365C2211yescharacteristic
217#2362C2214yes—
218#2362C2214yes—
219#2360C2211yescharacteristic
220#2360C2211yescharacteristic
221#2360C2211yescharacteristic
222#2360C2211yescharacteristic
223#2356C2212yes—
224#2356C2212yes—
225#2356C2214yes—
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2212yes—
230#2351C2212yes—
231#2351C2212yes—
232#2351C2214yes—
233#2351C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235#2347C2214yes—
236#2346C2214yes—
237#2344C2212yes—
238#2344C2212yes—
239#2336C2214yes—
240#2336C2212yes—
241#2336C2212yes—
242#2334C2212yes—
243#2334C2212yes—
244#2331C2214yes—
245#2331C2212yes—
246#2330C2211yescharacteristic
247#2327C2212yes—
248#2327C2211yescharacteristic
249#2323C2212yes—
250#2323C2211yescharacteristic
251#2323C2211yescharacteristic
252#2323C2212yes—
253#2323C2212yes—
254#2320C2211yescharacteristic
255#2320C2211yescharacteristic
256#2320C2212yes—
257#2320C2212yes—
258#2320C2212yes—
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×#125C2211yescharacteristic
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278#2296C2212yes—
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289#2285C2212yes—
290#2276C2212yes—
291#2276C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—28no—
300#557—28no—
301#541—28no—
302#533—216no—
303#533—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2314yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2314yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#393C2314yes—
443#391C2311yescharacteristic
444#391C2312yes—
445#391C2314yes—
446#391C2312yes—
447#391C2311yescharacteristic
448#391C2312yes—
449#391C2312yes—
450#391C2314yes—
451#391C2314yes—
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2312yes—
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#383C2312yes—
681#383C2312yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2314yes—
705#381C2314yes—
706#381C2314yes—
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2414yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C4⋊Q8—24no—
830C4⋊Q8—28no—
831C4⋊Q8—24no—
832C4⋊Q8—28no—
833C4⋊Q8—24no—
834C4⋊Q8—216no—
835C4⋊Q8—28no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—84no—
842#126—28no—
843#126—28no—
844#125—216no—
845#125—28no—
846#125—24no—
847#125—28no—
848#125—28no—
849#125—216no—
850#125—28no—
851#125—28no—
852#125—84no—
853#125—82no—
854C22⋊Q8—24no—
855C22⋊Q8—28no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—28no—
859C22⋊Q8—216no—
860C22⋊Q8—82no—
861C22⋊Q8#4118yes—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—216no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—84no—
883C4×Q8—84no—
884C4×Q8—82no—
885C4×Q8—84no—
886C4×Q8#4118yes—
887#117—24no—
888#117—216no—
889#117—28no—
890#117—24no—
891#117—84no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C42—28no—
996C2×C42—24no—
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2411yescharacteristic
1060#95C2412yes—
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145C24C2511yescharacteristic
1146C2×Q8—22no—
1147C2×Q8—28no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—28no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—28no—
1164C2×Q8—44no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8C2×#4114yes—
1172C2×Q8C2×#4114yes—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4C2×#4114yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4C2×#4114yes—
1306C4⋊C4C2×#4118yes—
1307C4⋊C4C2×#4118yes—
1308C4⋊C4C2×#4114yes—
1309C4⋊C42−1+414yes—
1310C4⋊C42−1+414yes—
1311C22⋊C4—28no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4C2×#4118yes—
1323C42—24no—
1324C42—24no—
1325C42—22no—
1326C42—24no—
1327C42—22no—
1328C42—24no—
1329C42—22no—
1330C42—28no—
1331C42—28no—
1332C42—22no—
1333C42—24no—
1334C42—22no—
1335C42—28no—
1336C42—24no—
1337C42—28no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—22no—
1351C42—28no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—42no—
1356C42—41no—
1357C42—42no—
1358C42—42no—
1359C42—41no—
1360C42—42no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—41no—
1365C42—42no—
1366C42—44no—
1367C42—42no—
1368C42—44no—
1369C42—42no—
1370C42—44no—
1371C42—41no—
1372C42C2×#4114yes—
1373C42C2×#4118yes—
1374C422−1+414yes—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23C22×#4112yes—
1382C23C2611yescharacteristic
1383Q8—28no—
1384Q8—28no—
1385Q8—416no—
1386Q8—48no—
1387Q8—44no—
1388Q8—44no—
1389Q8—84no—
1390Q8—84no—
1391Q8—88no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—28no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—21no—
1479C2×C4—48no—
1480C2×C4—48no—
1481C2×C4—44no—
1482C2×C4—82no—
1483C2×C4C22×#4114yes—
1484C2×C4C22×#4112yes—
1485C2×C4C22×#4114yes—
1486C2×C4C22×#4114yes—
1487C2×C4C22×#4112yes—
1488C2×C4C22×#4114yes—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4112yes—
1492C2×C4C2×2−1+412yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4C2×2−1+414yes—
1495C2×C4C2×2−1+414yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22C23×#4111yescharacteristic
1507C22C23×#4111yescharacteristic
1508C22C22×2−1+411yescharacteristic
1509C22C22×2−1+411yescharacteristic
1510C22C22×2−1+411yescharacteristic
1511C22H(7,𝔽2)11yescharacteristic
1512C222−1+611yescharacteristic
1513C4—24no—
1514C4—24no—
1515C4—24no—
1516C4—24no—
1517C4—22no—
1518C4—24no—
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—24no—
1523C4—41no—
1524C4—41no—
1525C4—42no—
1526C4—42no—
1527C4—41no—
1528C4—41no—
1529C4—42no—
1530C4—44no—
1531C4—41no—
1532C4—42no—
1533C4—42no—
1534C4—41no—
1535C4—42no—
1536C4—44no—
1537C4—42no—
1538C4—41no—
1539C4—42no—
1540C4—44no—
1541C4—41no—
1542C4—42no—
1543C4—44no—
1544C4—42no—
1545C4#348214yes—
1546C4#350914yes—
1547C2—42no—
1548C2C2×#348211yescharacteristic
1549C2C2×#350911yescharacteristic
1550C2#6285711yescharacteristic
1551C2#6294311yescharacteristic
1552C2#6294711yescharacteristic
1553C2#6299811yescharacteristic
1554C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59963C2semidirect
3. #59669C2semidirect
5. #59547C2semidirect
8. #59464C2semidirect
10. #44694C2semidirect
12. #43456C2semidirect
15. #38986C2semidirect
16. #38984C2semidirect
17. #38976C2semidirect
18. #38970C2semidirect
21. #36497C2semidirect
22. #36474C2semidirect
25. #35656C2semidirect
26. #35583C2semidirect
29. #34951C2semidirect
30. #34950C2semidirect
31. #34335C2semidirect
32. #34328C2semidirect

Maximal subgroups

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

subgroupindex
#599632
#597152
#596692
#595742
#595472
#595062
#595022
#594642
#447462
#446942
#434862
#434562
#397242
#395972
#389862
#389842
#389762
#389702
#379812
#377932
#364972
#364742
#361932
#361332
#356562
#355832
#353242
#352912
#349512
#349502
#343352
#343282
#342252
#341452
C4×#5412