Finite Group Databasebeta

← #7678196

Subgroups — #7678196

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#59925C212yesmaximal, complemented
2#59924C211yesmaximal, characteristic, complemented
3#59828C211yesmaximal, characteristic, complemented
4#59672C211yesmaximal, characteristic, complemented
5#59671C212yesmaximal, complemented
6#59669C212yesmaximal, complemented
7#59666C211yesmaximal, characteristic, complemented
8#59665C211yesmaximal, characteristic, complemented
9#59665C211yesmaximal, characteristic, complemented
10#59464C211yesmaximal, characteristic, complemented
11#59459C211yesmaximal, characteristic, complemented
12#59445C212yesmaximal, complemented
13#45413C212yesmaximal
14#45275C212yesmaximal
15#45190C212yesmaximal
16#45099C212yesmaximal
17#43572C214yesmaximal
18#43569C214yesmaximal
19#39987C212yesmaximal
20#39983C212yesmaximal
21#39979C214yesmaximal, complemented
22#38454C214yesmaximal, complemented
23#36478C212yesmaximal
24#36287C212yesmaximal
25#35643C212yesmaximal, complemented
26#35582C212yesmaximal, complemented
27#35239C211yesmaximal, characteristic
28#35208C212yesmaximal, 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#2859C2214yes—
41#2857C2212yes—
42#2851C2212yes—
43#2811C2214yes—
44#2809C2214yes—
45#2805C2214yes—
46#2802C2214yes—
47#2802C2214yes—
48#2799C2214yes—
49#2799C2214yes—
50#2792C2214yes—
51#2792C2214yes—
52#2790C2214yes—
53#2788C2214yes—
54#2774C2214yes—
55#2774C2214yes—
56#2774C2214yes—
57#2774C2214yes—
58#2763C2214yes—
59#2742C2214yes—
60#2734C2214yes—
61#2729C2214yes—
62#2729C2214yes—
63#2726C2214yes—
64#2726C2214yes—
65#2720C2214yes—
66#2704C2214yes—
67#2666C2214yes—
68#2666C2214yes—
69#2666C2214yes—
70#2612C2214yes—
71#2612C2214yes—
72#2612C2214yes—
73#2608C2212yes—
74#2607C2212yes—
75#2606C2212yes—
76#2606C2214yes—
77#2605C2214yes—
78#2605C2214yes—
79#2605C2212yes—
80#2605C2214yes—
81#2590C2214yes—
82#2589C2214yes—
83#2588C2214yes—
84#2588C2214yes—
85#2588C2214yes—
86#2587C2214yes—
87#2586C2214yes—
88#2586C2214yes—
89#2586C2214yes—
90#2586C2214yes—
91#2584C2212yes—
92#2584C2212yes—
93#2584C2212yes—
94#2582C2212yes—
95#2582C2212yes—
96#2581C2212yes—
97#2574C2214yes—
98#2571C2211yescharacteristic
99#2571C2211yescharacteristic
100#2570C2211yescharacteristic
101#2570C2212yes—
102#2570C2214yes—
103#2570C2211yescharacteristic
104#2568C2212yes—
105#2567C2212yes—
106#2567C2214yes—
107#2567C2212yes—
108#2567C2212yes—
109#2567C2212yes—
110#2567C2212yes—
111#2567C2212yes—
112#2565C2212yes—
113#2565C2214yes—
114#2556C2214yes—
115#2556C2214yes—
116#2556C2214yes—
117#2552C2211yescharacteristic
118#2552C2211yescharacteristic
119#2552C2211yescharacteristic
120#2552C2212yes—
121#2552C2212yes—
122#2552C2211yescharacteristic
123#2552C2214yes—
124#2551C2212yes—
125#2551C2211yescharacteristic
126#2551C2211yescharacteristic
127#2551C2212yes—
128#2550C2212yes—
129#2550C2212yes—
130#2550C2212yes—
131#2550C2212yes—
132#2550C2214yes—
133#2550C2212yes—
134#2550C2211yescharacteristic
135#2550C2212yes—
136#2550C2211yescharacteristic
137#2550C2214yes—
138#2546C2212yes—
139#2520C2214yes—
140#2520C2214yes—
141#2520C2214yes—
142#2511C2214yes—
143#2511C2214yes—
144#2509C2212yes—
145#2509C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2509C2212yes—
149#2508C2212yes—
150#2508C2212yes—
151#2508C2212yes—
152#2508C2212yes—
153#2507C2212yes—
154#2507C2214yes—
155#2507C2214yes—
156#2506C2212yes—
157#2506C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2506C2212yes—
161#2506C2214yes—
162#2506C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2497C2214yes—
166#2462C2214yes—
167#2462C2214yes—
168#2462C2214yes—
169#2453C2214yes—
170#2453C2214yes—
171#2453C2212yes—
172#2453C2212yes—
173#2453C2212yes—
174#2451C2212yes—
175#2451C2212yes—
176#2451C2212yes—
177#2446C2214yes—
178#2446C2214yes—
179#2446C2214yes—
180#2442C2212yes—
181#2441C2212yes—
182#2441C2211yescharacteristic
183#2441C2211yescharacteristic
184#2441C2212yes—
185#2440C2212yes—
186#2439C2212yes—
187#2439C2211yescharacteristic
188#2439C2211yescharacteristic
189#2439C2212yes—
190#2438C2214yes—
191#2423C2214yes—
192#2396C2212yes—
193#2396C2214yes—
194#2396C2212yes—
195#2370C2212yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2212yes—
206#2370C2212yes—
207#2369C2211yescharacteristic
208#2369C2211yescharacteristic
209#2369C2211yescharacteristic
210#2369C2212yes—
211#2369C2211yescharacteristic
212#2369C2212yes—
213#2369C2212yes—
214#2369C2214yes—
215#2368C2214yes—
216#2365C2211yescharacteristic
217#2365C2211yescharacteristic
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2360C2212yes—
225#2360C2212yes—
226#2356C2214yes—
227#2356C2212yes—
228#2355C2212yes—
229#2355C2212yes—
230#2355C2214yes—
231#2351C2212yes—
232#2351C2212yes—
233#2351C2212yes—
234Q8×C4⋊C4C2212yes—
235Q8×C4⋊C4C2212yes—
236#2347C2212yes—
237#2347C2212yes—
238#2346C2212yes—
239#2346C2212yes—
240#2332C2214yes—
241#2331C2211yescharacteristic
242#2331C2214yes—
243#2331C2212yes—
244#2331C2211yescharacteristic
245#2331C2212yes—
246#2330C2214yes—
247#2330C2212yes—
248#2330C2212yes—
249#2330C2211yescharacteristic
250#2330C2211yescharacteristic
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⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2214yes—
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⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
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#400C2312yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#399C2314yes—
383#399C2312yes—
384#399C2312yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2312yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#396C2314yes—
416#396C2312yes—
417#396C2312yes—
418#396C2312yes—
419#396C2312yes—
420#396C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2312yes—
437#395C2314yes—
438#395C2314yes—
439#395C2312yes—
440#393C2312yes—
441#393C2312yes—
442#393C2314yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2314yes—
450#391C2312yes—
451#391C2312yes—
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2314yes—
460#391C2312yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#389C2311yescharacteristic
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
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#387C2314yes—
593#387C2312yes—
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#387C2314yes—
607#387C2312yes—
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#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
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#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2314yes—
679#384C2314yes—
680#384C2314yes—
681#384C2312yes—
682#384C2314yes—
683#384C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2312yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#382C2312yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2314yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
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×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C4⋊Q8—28no—
827C4⋊Q8—216no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—84no—
836C4⋊Q8C2×Q818yes—
837C4⋊Q8C2×Q818yes—
838C4⋊Q8#4118yes—
839#125—28no—
840#125—24no—
841#125—216no—
842#125—216no—
843#125—28no—
844#125—28no—
845#125—28no—
846#125—24no—
847#125—24no—
848#125—44no—
849#125—42no—
850#125—84no—
851#125—84no—
852#125—84no—
853#125C2×Q8116yes—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—84no—
857C22⋊Q8C2×Q8116yes—
858C22⋊Q8C2×Q8116yes—
859C4×Q8—216no—
860C4×Q8—28no—
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⋊C4C2412yes—
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⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
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×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
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#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137C24C2511yescharacteristic
1138C2×Q8—24no—
1139C2×Q8—24no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—42no—
1144C2×Q8—42no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—44no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8C22×Q818yes—
1160C2×Q8C22×Q818yes—
1161C2×Q8C2×#4118yes—
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×C4C2511yescharacteristic
1178C22×C4C2512yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2514yes—
1202C22×C4C2514yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
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—28no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—22no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
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—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4C22×Q818yes—
1302C4⋊C4C22×Q818yes—
1303C4⋊C4C22×Q8116yes—
1304C4⋊C4C22×Q8116yes—
1305C4⋊C4C22×Q818yes—
1306C4⋊C4C22×Q818yes—
1307C4⋊C4C2×#4114yes—
1308C4⋊C4C2×#4114yes—
1309C4⋊C4C2×#4118yes—
1310C4⋊C42−1+414yes—
1311C22⋊C4—22no—
1312C22⋊C4—24no—
1313C22⋊C4—22no—
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—24no—
1329C42—28no—
1330C42—24no—
1331C42—24no—
1332C42—22no—
1333C42—22no—
1334C42—24no—
1335C42—24no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—24no—
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—48no—
1382Q8—84no—
1383Q8—84no—
1384Q8—84no—
1385Q8—88no—
1386Q8—164no—
1387C2×C4—24no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—22no—
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—21no—
1402C2×C4—21no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—28no—
1410C2×C4—28no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
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—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
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—22no—
1471C2×C4—21no—
1472C2×C4—21no—
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—42no—
1522C4—41no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—41no—
1527C4—44no—
1528C4—41no—
1529C4—41no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—44no—
1535C4—42no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4Q8×#4114yes—
1541C4#350214yes—
1542C2—42no—
1543C2C2×Q8×#4111yescharacteristic
1544C2C2×#350211yescharacteristic
1545C2#6285411yescharacteristic
1546C2#6293811yescharacteristic
1547C2#6295011yescharacteristic
1548C2#6299111yescharacteristic
1549C2#6299911yescharacteristic
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. #59925C2semidirect
2. #59924C2semidirect
3. #59828C2semidirect
4. #59672C2semidirect
5. #59671C2semidirect
6. #59669C2semidirect
7. #59666C2semidirect
8. #59665C2semidirect
9. #59665C2semidirect
10. #59464C2semidirect
11. #59459C2semidirect
12. #59445C2semidirect
21. #39979C2semidirect
22. #38454C2semidirect
25. #35643C2semidirect
26. #35582C2semidirect
28. #35208C2semidirect
31. #34336C2semidirect
301. #533Q8semidirect

Maximal subgroups

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

subgroupindex
#599252
#599242
#598282
#596722
#596712
#596692
#596662
#596652
#594642
#594592
#594452
#454132
#452752
#451902
#450992
#435722
#435692
#399872
#399832
#399792
#384542
#364782
#362872
#356432
#355822
#352392
#352082
#349782
#349122
#343362
#342312
#342252
#341452
C4×#5442