Finite Group Databasebeta

← #7678170

Subgroups — #7678170

Order 512.

4420 conjugacy classes of subgroups.

The subgroup lattice has 1551 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59872C212yesmaximal, complemented
2#59871C211yesmaximal, characteristic, complemented
3#59869C211yesmaximal, characteristic, complemented
4#59672C211yesmaximal, characteristic, complemented
5#59669C212yesmaximal, complemented
6#59668C211yesmaximal, characteristic, complemented
7#59668C211yesmaximal, characteristic, complemented
8#59668C212yesmaximal, complemented
9#59667C211yesmaximal, characteristic, complemented
10#59587C212yesmaximal, complemented
11#59464C211yesmaximal, characteristic, complemented
12#59456C211yesmaximal, characteristic, complemented
13#45409C212yesmaximal
14#45272C212yesmaximal
15#45180C212yesmaximal
16#45121C212yesmaximal
17#43573C214yesmaximal
18#43568C214yesmaximal
19#39986C212yesmaximal
20#39982C212yesmaximal
21#39978C214yesmaximal, complemented
22#38455C214yesmaximal, complemented
23#36478C212yesmaximal
24#36288C212yesmaximal
25#35642C212yesmaximal, complemented
26#35583C212yesmaximal, complemented
27#35239C211yesmaximal, characteristic
28#35199C212yesmaximal, complemented
29#34978C211yesmaximal, characteristic
30#34912C211yesmaximal, characteristic
31#34336C212yesmaximal, complemented
32#34231C211yesmaximal, characteristic
33#34225C211yesmaximal, characteristic
34#34145C211yesmaximal, characteristic
35C4×#544C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2863C2214yes—
40#2862C2214yes—
41#2857C2212yes—
42#2851C2212yes—
43#2809C2214yes—
44#2809C2214yes—
45#2807C2214yes—
46#2806C2214yes—
47#2806C2214yes—
48#2806C2214yes—
49#2806C2214yes—
50#2806C2214yes—
51#2791C2214yes—
52#2791C2214yes—
53#2790C2214yes—
54#2788C2214yes—
55#2774C2214yes—
56#2774C2214yes—
57#2768C2214yes—
58#2768C2214yes—
59#2755C2214yes—
60#2755C2214yes—
61#2726C2214yes—
62#2720C2214yes—
63#2713C2214yes—
64#2713C2214yes—
65#2704C2214yes—
66#2677C2214yes—
67#2666C2214yes—
68#2666C2214yes—
69#2666C2214yes—
70#2612C2214yes—
71#2612C2214yes—
72#2612C2214yes—
73#2608C2212yes—
74#2607C2212yes—
75#2606C2214yes—
76#2606C2214yes—
77#2606C2212yes—
78#2606C2214yes—
79#2605C2212yes—
80#2605C2214yes—
81#2590C2214yes—
82#2589C2214yes—
83#2588C2214yes—
84#2588C2214yes—
85#2588C2214yes—
86#2587C2214yes—
87#2585C2214yes—
88#2585C2214yes—
89#2585C2214yes—
90#2585C2214yes—
91#2584C2212yes—
92#2584C2212yes—
93#2584C2212yes—
94#2584C2212yes—
95#2584C2212yes—
96#2582C2212yes—
97#2582C2212yes—
98#2581C2212yes—
99#2574C2214yes—
100#2574C2214yes—
101#2574C2214yes—
102#2571C2211yescharacteristic
103#2571C2211yescharacteristic
104#2570C2212yes—
105#2570C2214yes—
106#2570C2211yescharacteristic
107#2570C2211yescharacteristic
108#2568C2214yes—
109#2568C2212yes—
110#2567C2212yes—
111#2565C2214yes—
112#2565C2212yes—
113#2556C2214yes—
114#2552C2211yescharacteristic
115#2552C2212yes—
116#2552C2211yescharacteristic
117#2552C2211yescharacteristic
118#2552C2212yes—
119#2552C2211yescharacteristic
120#2552C2212yes—
121#2551C2212yes—
122#2551C2211yescharacteristic
123#2551C2212yes—
124#2551C2214yes—
125#2551C2211yescharacteristic
126#2551C2212yes—
127#2550C2211yescharacteristic
128#2550C2212yes—
129#2550C2212yes—
130#2550C2212yes—
131#2550C2211yescharacteristic
132#2550C2214yes—
133#2550C2212yes—
134#2550C2214yes—
135#2546C2212yes—
136#2546C2212yes—
137#2546C2212yes—
138#2546C2212yes—
139#2520C2214yes—
140#2520C2214yes—
141#2520C2214yes—
142#2509C2214yes—
143#2509C2212yes—
144#2508C2212yes—
145#2508C2212yes—
146#2508C2212yes—
147#2508C2214yes—
148#2508C2212yes—
149#2508C2212yes—
150#2508C2212yes—
151#2508C2212yes—
152#2508C2212yes—
153#2507C2212yes—
154#2507C2214yes—
155#2507C2212yes—
156#2507C2214yes—
157#2507C2212yes—
158#2507C2212yes—
159#2507C2212yes—
160#2507C2214yes—
161#2506C2212yes—
162#2506C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2492C2214yes—
166#2462C2214yes—
167#2462C2214yes—
168#2462C2214yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2451C2212yes—
173#2451C2214yes—
174#2451C2214yes—
175#2451C2214yes—
176#2451C2214yes—
177#2451C2212yes—
178#2451C2212yes—
179#2446C2214yes—
180#2442C2212yes—
181#2441C2212yes—
182#2441C2211yescharacteristic
183#2441C2211yescharacteristic
184#2441C2212yes—
185#2440C2212yes—
186#2439C2211yescharacteristic
187#2439C2212yes—
188#2439C2211yescharacteristic
189#2439C2212yes—
190#2438C2214yes—
191#2429C2214yes—
192#2396C2214yes—
193#2396C2212yes—
194#2396C2212yes—
195#2370C2212yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2214yes—
204#2370C2212yes—
205#2369C2211yescharacteristic
206#2369C2212yes—
207#2369C2211yescharacteristic
208#2369C2214yes—
209#2369C2212yes—
210#2369C2212yes—
211#2369C2211yescharacteristic
212#2369C2212yes—
213#2369C2211yescharacteristic
214#2368C2214yes—
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2365C2212yes—
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2360C2212yes—
225#2360C2212yes—
226#2356C2214yes—
227#2356C2212yes—
228#2355C2214yes—
229#2355C2212yes—
230#2355C2212yes—
231#2355C2212yes—
232#2351C2212yes—
233#2351C2212yes—
234#2351C2212yes—
235Q8×C4⋊C4C2212yes—
236#2347C2212yes—
237#2347C2212yes—
238#2346C2212yes—
239#2346C2212yes—
240#2332C2214yes—
241#2331C2214yes—
242#2331C2212yes—
243#2331C2212yes—
244#2331C2211yescharacteristic
245#2331C2211yescharacteristic
246#2330C2211yescharacteristic
247#2330C2214yes—
248#2330C2212yes—
249#2330C2211yescharacteristic
250#2330C2212yes—
251#2329C2212yes—
252#2329C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2320C2212yes—
256#2320C2212yes—
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2316C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2214yes—
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283#2296C2212yes—
284#2295C2214yes—
285#2295C2212yes—
286#2295C2214yes—
287#2295C2212yes—
288#2295C2212yes—
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2276C2212yes—
292#2276C2212yes—
293C42×Q8C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—216no—
300#544—28no—
301#533Q8116yescomplemented
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C42C2312yes—
362C22×C42C2311yescharacteristic
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#399C2312yes—
379#399C2312yes—
380#399C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2312yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#396C2312yes—
420#396C2312yes—
421#396C2314yes—
422#396C2312yes—
423#396C2312yes—
424#396C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2312yes—
435#395C2312yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#393C2314yes—
441#393C2312yes—
442#393C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2314yes—
451#391C2314yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2314yes—
456#391C2312yes—
457#391C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#389C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#382C2312yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807C2×#95C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2314yes—
813C22×Q8C2412yes—
814C22×Q8C2414yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C4⋊Q8—28no—
827C4⋊Q8—24no—
828C4⋊Q8—216no—
829C4⋊Q8—28no—
830C4⋊Q8—28no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—44no—
834C4⋊Q8—42no—
835C4⋊Q8—44no—
836C4⋊Q8—84no—
837C4⋊Q8—84no—
838C4⋊Q8—84no—
839C4⋊Q8C2×Q818yes—
840C4⋊Q8C2×Q818yes—
841#125—28no—
842#125—24no—
843#125—216no—
844#125—28no—
845#125—216no—
846#125—24no—
847#125—44no—
848#125—44no—
849#125—44no—
850#125—42no—
851#125—84no—
852#125C2×Q8116yes—
853#125#4118yes—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—84no—
857C22⋊Q8C2×Q8116yes—
858C22⋊Q8C2×Q8116yes—
859C4×Q8—28no—
860C4×Q8—216no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—84no—
871C4×Q8—82no—
872C4×Q8—82no—
873C4×Q8C2×Q8116yes—
874C4×Q8C2×Q8116yes—
875#117—24no—
876#117—24no—
877#117—24no—
878#117—42no—
879#117—42no—
880#117—42no—
881#117—82no—
882#117C2×Q8116yes—
883C2×C4⋊C4—24no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C42—44no—
998C2×C42C2×Q818yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2411yescharacteristic
1052#95C2412yes—
1053#95C2412yes—
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2412yes—
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
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—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137C24C2511yescharacteristic
1138C2×Q8—24no—
1139C2×Q8—28no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—28no—
1145C2×Q8—24no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8C22×Q818yes—
1161C2×Q8C22×Q818yes—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4C22×Q814yes—
1175C22×C4C22×Q814yes—
1176C22×C4C22×Q814yes—
1177C22×C4C2512yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2514yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2514yes—
1202C22×C4C2514yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4C22×Q818yes—
1301C4⋊C4C22×Q818yes—
1302C4⋊C4C22×Q8116yes—
1303C4⋊C4C22×Q8116yes—
1304C4⋊C4C22×Q818yes—
1305C4⋊C4C22×Q818yes—
1306C4⋊C4C2×#4114yes—
1307C4⋊C4C2×#4114yes—
1308C4⋊C4C2×#4118yes—
1309C4⋊C4C2×#4118yes—
1310C4⋊C42−1+414yes—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—42no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4C22×Q8116yes—
1323C42—24no—
1324C42—22no—
1325C42—28no—
1326C42—28no—
1327C42—24no—
1328C42—28no—
1329C42—24no—
1330C42—24no—
1331C42—22no—
1332C42—24no—
1333C42—22no—
1334C42—24no—
1335C42—24no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—42no—
1344C42—42no—
1345C42—42no—
1346C42—42no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—41no—
1351C42—41no—
1352C42—42no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—42no—
1359C42—42no—
1360C42—41no—
1361C42—41no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42C22×Q814yes—
1366C42C22×Q814yes—
1367C42C22×Q814yes—
1368C42C22×Q814yes—
1369C42C22×Q8116yes—
1370C42C2×#4114yes—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23C23×Q812yes—
1378C23C2611yescharacteristic
1379Q8—216no—
1380Q8—48no—
1381Q8—88no—
1382Q8—84no—
1383Q8—84no—
1384Q8—84no—
1385Q8—84no—
1386Q8—88no—
1387C2×C4—24no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—24no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—28no—
1410C2×C4—28no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—44no—
1475C2×C4—84no—
1476C2×C4—84no—
1477C2×C4C23×Q812yes—
1478C2×C4C23×Q812yes—
1479C2×C4C23×Q812yes—
1480C2×C4C23×Q812yes—
1481C2×C4C23×Q818yes—
1482C2×C4C23×Q818yes—
1483C2×C4C23×Q812yes—
1484C2×C4C23×Q812yes—
1485C2×C4C22×#4112yes—
1486C2×C4C22×#4114yes—
1487C2×C4C22×#4114yes—
1488C2×C4C22×#4112yes—
1489C2×C4C22×#4112yes—
1490C2×C4C2×2−1+414yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4#58512yes—
1493C2×C4#58512yes—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22C24×Q811yescharacteristic
1502C22C23×#4111yescharacteristic
1503C22C22×2−1+411yescharacteristic
1504C22C2×#58511yescharacteristic
1505C22C2×#58511yescharacteristic
1506C22H(7,𝔽2)11yescharacteristic
1507C222−1+611yescharacteristic
1508C4—24no—
1509C4—22no—
1510C4—24no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—22no—
1515C4—28no—
1516C4—24no—
1517C4—22no—
1518C4—28no—
1519C4—42no—
1520C4—42no—
1521C4—44no—
1522C4—41no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—41no—
1527C4—42no—
1528C4—41no—
1529C4—41no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—44no—
1538C4—41no—
1539C4—42no—
1540C4Q8×#4114yes—
1541C4#350214yes—
1542C2—42no—
1543C2C2×Q8×#4111yescharacteristic
1544C2C2×#350211yescharacteristic
1545C2#6285411yescharacteristic
1546C2#6293911yescharacteristic
1547C2#6295111yescharacteristic
1548C2#6299411yescharacteristic
1549C2#6300111yescharacteristic
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. #59872C2semidirect
2. #59871C2semidirect
3. #59869C2semidirect
4. #59672C2semidirect
5. #59669C2semidirect
6. #59668C2semidirect
7. #59668C2semidirect
8. #59668C2semidirect
9. #59667C2semidirect
10. #59587C2semidirect
11. #59464C2semidirect
12. #59456C2semidirect
21. #39978C2semidirect
22. #38455C2semidirect
25. #35642C2semidirect
26. #35583C2semidirect
28. #35199C2semidirect
31. #34336C2semidirect
301. #533Q8semidirect

Maximal subgroups

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

subgroupindex
#598722
#598712
#598692
#596722
#596692
#596682
#596672
#595872
#594642
#594562
#454092
#452722
#451802
#451212
#435732
#435682
#399862
#399822
#399782
#384552
#364782
#362882
#356422
#355832
#352392
#351992
#349782
#349122
#343362
#342312
#342252
#341452
C4×#5442