Finite Group Databasebeta

← #7806367

Subgroups — #7806367

Order 512.

4498 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59918C212yesmaximal
2#59871C211yesmaximal, characteristic, complemented
3#59868C212yesmaximal
4#59828C211yesmaximal, characteristic, complemented
5#59667C211yesmaximal, characteristic, complemented
6#59666C211yesmaximal, characteristic, complemented
7#59664C212yesmaximal
8#59663C212yesmaximal
9#59467C211yesmaximal, characteristic, complemented
10#59467C211yesmaximal, characteristic, complemented
11#59459C211yesmaximal, characteristic, complemented
12#59456C211yesmaximal, characteristic, complemented
13#59322C212yesmaximal
14#59321C212yesmaximal
15#59154C212yesmaximal
16#59154C212yesmaximal
17#47731C214yesmaximal, complemented
18#47730C214yesmaximal, complemented
19#42826C212yesmaximal, complemented
20#42823C212yesmaximal, complemented
21#42822C212yesmaximal, complemented
22#42819C212yesmaximal, complemented
23#42000C214yesmaximal
24#37623C211yesmaximal, characteristic
25#35972C212yesmaximal, complemented
26#35957C212yesmaximal, complemented
27#35936C212yesmaximal, complemented
28#35868C212yesmaximal, complemented
29#35810C214yesmaximal
30#34966C211yesmaximal, characteristic
31#34966C211yesmaximal, characteristic
32C2×#2552C211yesmaximal, characteristic
33#34235C211yesmaximal, characteristic
34#34235C211yesmaximal, characteristic
35#34214C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#557C2212yes—
38C2×#533C2211yescharacteristic
39C22×#125C2212yes—
40#2845C2214yes—
41#2843C2214yes—
42#2843C2214yes—
43#2806C2214yes—
44#2806C2214yes—
45#2805C2214yes—
46#2802C2214yes—
47#2802C2214yes—
48#2802C2214yes—
49#2792C2214yes—
50#2792C2214yes—
51#2792C2214yes—
52#2792C2214yes—
53#2791C2214yes—
54#2791C2214yes—
55#2791C2214yes—
56#2791C2214yes—
57#2791C2214yes—
58#2774C2214yes—
59#2755C2214yes—
60#2755C2214yes—
61#2726C2214yes—
62#2726C2214yes—
63#2726C2214yes—
64#2713C2214yes—
65#2713C2214yes—
66#2713C2214yes—
67#2666C2214yes—
68#2666C2214yes—
69#2666C2214yes—
70#2666C2214yes—
71#2660C2214yes—
72#2660C2212yes—
73#2660C2212yes—
74#2647C2214yes—
75#2647C2212yes—
76#2647C2212yes—
77#2627C2214yes—
78#2612C2214yes—
79#2606C2214yes—
80#2606C2214yes—
81#2606C2212yes—
82#2606C2212yes—
83#2605C2212yes—
84#2605C2212yes—
85#2590C2214yes—
86#2590C2214yes—
87#2590C2214yes—
88#2588C2214yes—
89#2586C2214yes—
90#2586C2214yes—
91#2585C2214yes—
92#2585C2214yes—
93#2584C2212yes—
94#2584C2214yes—
95#2584C2212yes—
96#2584C2212yes—
97#2584C2212yes—
98#2583C2214yes—
99#2583C2214yes—
100#2582C2212yes—
101#2582C2212yes—
102#2582C2212yes—
103#2582C2212yes—
104#2581C2212yes—
105#2581C2212yes—
106#2571C2211yescharacteristic
107#2570C2211yescharacteristic
108#2570C2214yes—
109#2570C2211yescharacteristic
110#2570C2211yescharacteristic
111#2570C2211yescharacteristic
112#2567C2212yes—
113#2567C2212yes—
114#2567C2212yes—
115#2567C2214yes—
116#2565C2212yes—
117#2565C2212yes—
118#2565C2212yes—
119#2565C2212yes—
120#2552C2214yes—
121#2552C2212yes—
122#2552C2212yes—
123#2552C2211yescharacteristic
124#2552C2212yes—
125#2552C2211yescharacteristic
126#2552C2212yes—
127#2552C2212yes—
128#2552C2212yes—
129#2552C2211yescharacteristic
130#2552C2211yescharacteristic
131#2552C2211yescharacteristic
132#2552C2214yes—
133#2552C2212yes—
134#2552C2214yes—
135#2552C2211yescharacteristic
136#2551C2211yescharacteristic
137#2551C2212yes—
138#2550C2214yes—
139#2550C2212yes—
140#2550C2212yes—
141#2550C2211yescharacteristic
142#2550C2214yes—
143#2550C2211yescharacteristic
144#2550C2211yescharacteristic
145#2550C2211yescharacteristic
146#2549C2214yes—
147#2546C2212yes—
148#2520C2214yes—
149#2511C2214yes—
150#2509C2212yes—
151#2509C2214yes—
152#2509C2212yes—
153#2508C2212yes—
154#2508C2212yes—
155#2507C2212yes—
156#2507C2214yes—
157#2507C2212yes—
158#2507C2212yes—
159#2507C2212yes—
160#2507C2214yes—
161#2507C2214yes—
162#2506C2212yes—
163#2506C2212yes—
164#2506C2214yes—
165#2506C2214yes—
166#2506C2212yes—
167#2506C2212yes—
168#2505C2214yes—
169#2505C2214yes—
170#2502C2214yes—
171#2473C2214yes—
172#2473C2214yes—
173#2473C2214yes—
174#2473C2214yes—
175#2462C2214yes—
176#2462C2214yes—
177#2462C2214yes—
178#2453C2212yes—
179#2453C2212yes—
180#2453C2212yes—
181#2453C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2453C2212yes—
185#2453C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2212yes—
189#2451C2212yes—
190#2446C2214yes—
191#2442C2211yescharacteristic
192#2442C2212yes—
193#2442C2211yescharacteristic
194#2442C2212yes—
195#2442C2211yescharacteristic
196#2442C2211yescharacteristic
197#2440C2211yescharacteristic
198#2440C2212yes—
199#2440C2212yes—
200#2440C2214yes—
201#2440C2211yescharacteristic
202#2440C2214yes—
203#2440C2211yescharacteristic
204#2440C2211yescharacteristic
205#2438C2212yes—
206#2438C2212yes—
207#2438C2212yes—
208#2438C2212yes—
209#2402C2212yes—
210#2402C2214yes—
211#2402C2212yes—
212#2399C2212yes—
213#2399C2212yes—
214#2399C2214yes—
215C2×#398C2214yes—
216#2370C2212yes—
217#2370C2212yes—
218#2370C2212yes—
219#2370C2212yes—
220#2369C2212yes—
221#2368C2214yes—
222#2365C2212yes—
223#2365C2211yescharacteristic
224#2365C2211yescharacteristic
225#2365C2211yescharacteristic
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2360C2212yes—
232#2360C2212yes—
233#2360C2212yes—
234#2360C2214yes—
235#2360C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2360C2214yes—
240#2360C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2355C2212yes—
244#2355C2212yes—
245#2355C2212yes—
246#2351C2212yes—
247#2351C2212yes—
248#2351C2212yes—
249#2351C2212yes—
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2212yes—
254Q8×C4⋊C4C2212yes—
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2212yes—
257#2345C2214yes—
258#2343C2214yes—
259#2343C2214yes—
260#2336C2214yes—
261#2336C2214yes—
262#2330C2212yes—
263#2330C2212yes—
264#2320C2212yes—
265#2320C2212yes—
266#2317C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C2×#389C2212yes—
288C2×#389C2212yes—
289C2×#384C2211yescharacteristic
290C2×#384C2212yes—
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2276C2212yes—
294#2276C2212yes—
295#2274C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—48no—
300#557—48no—
301#533Q8116yescomplemented
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#125—48no—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C4×Q8C2312yes—
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×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2314yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2314yes—
369C22×C4⋊C4C2314yes—
370C22×C42C2312yes—
371C22×C42C2312yes—
372C22×C42C2311yescharacteristic
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2312yes—
406#398C2312yes—
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#398C2312yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2312yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2312yes—
468#395C2314yes—
469#395C2314yes—
470#395C2312yes—
471#395C2312yes—
472#395C2312yes—
473#395C2312yes—
474#395C2314yes—
475#395C2312yes—
476#395C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
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#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2314yes—
690#384C2314yes—
691#384C2314yes—
692#384C2314yes—
693#384C2314yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2312yes—
702#383C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#381C2312yes—
719#381C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2314yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—42no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—48no—
836C4⋊Q8—48no—
837C4⋊Q8C2×Q818yes—
838C4⋊Q8C2×Q818yes—
839#125—28no—
840#125—28no—
841#125—24no—
842#125—24no—
843#125—44no—
844#125—44no—
845#125—42no—
846#125—42no—
847#125—44no—
848#125—44no—
849#125—48no—
850#125—48no—
851#125—48no—
852#125—48no—
853#125—48no—
854#125—48no—
855#125C2×Q8116yes—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—48no—
861C22⋊Q8C2×Q8116yes—
862C22⋊Q8C2×Q8116yes—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—48no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—48no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8C2×Q8116yes—
882C4×Q8C2×Q8116yes—
883#117—24no—
884#117—42no—
885#117C2×Q8116yes—
886C2×C4⋊C4—24no—
887C2×C4⋊C4—24no—
888C2×C4⋊C4—42no—
889C2×C4⋊C4—42no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4—44no—
892C2×C4⋊C4—48no—
893C2×C4⋊C4—48no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4—48no—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C42—44no—
1014C2×C42—44no—
1015C2×C42C2×Q818yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147C24C2511yescharacteristic
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8C22×Q818yes—
1168C2×Q8C22×Q818yes—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4C22×Q814yes—
1191C22×C4C22×Q814yes—
1192C22×C4C22×Q814yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
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—41no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4C22×Q818yes—
1328C4⋊C4C22×Q818yes—
1329C4⋊C4C22×Q8116yes—
1330C4⋊C4C22×Q8116yes—
1331C4⋊C4C22×Q818yes—
1332C4⋊C4C22×Q818yes—
1333C4⋊C4H(5,𝔽2)14yes—
1334C4⋊C42−1+414yes—
1335C22⋊C4—22no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4C22×Q8116yes—
1343C22⋊C42−1+414yes—
1344C42—24no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—28no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—41no—
1369C42—41no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42C22×Q814yes—
1381C42C22×Q814yes—
1382C42C22×Q814yes—
1383C42C22×Q814yes—
1384C42C22×Q8116yes—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23C23×Q812yes—
1390C23C2×2−1+412yes—
1391C23#58512yes—
1392C23C2611yescharacteristic
1393Q8—216no—
1394Q8—216no—
1395Q8—48no—
1396Q8—84no—
1397Q8—84no—
1398Q8—84no—
1399Q8—88no—
1400C2×C4—24no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—24no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—28no—
1421C2×C4—28no—
1422C2×C4—28no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—88no—
1494C2×C4C23×Q812yes—
1495C2×C4C23×Q812yes—
1496C2×C4C23×Q812yes—
1497C2×C4C23×Q812yes—
1498C2×C4C23×Q818yes—
1499C2×C4C23×Q818yes—
1500C2×C4C23×Q812yes—
1501C2×C4C23×Q812yes—
1502C2×C4C2×H(5,𝔽2)14yes—
1503C2×C4C2×H(5,𝔽2)12yes—
1504C2×C4C2×2−1+414yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4#58512yes—
1509C2×C4#58512yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22#350214yes—
1517C22C24×Q811yescharacteristic
1518C22C22×H(5,𝔽2)11yescharacteristic
1519C22C22×2−1+411yescharacteristic
1520C22C22×2−1+411yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22C2×#58511yescharacteristic
1523C22C2×#58511yescharacteristic
1524C4—24no—
1525C4—22no—
1526C4—24no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—28no—
1532C4—22no—
1533C4—28no—
1534C4—41no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—44no—
1543C4—42no—
1544C4—44no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—42no—
1554C4—41no—
1555C4—42no—
1556C4#350314yes—
1557C4#350414yes—
1558C2—24no—
1559C2C2×#350211yescharacteristic
1560C2C2×#350311yescharacteristic
1561C2C2×#350411yescharacteristic
1562C2#6301311yescharacteristic
1563C2#6301911yescharacteristic
1564C2#6302311yescharacteristic
1565C2#6303211yescharacteristic
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
2. #59871C2semidirect
4. #59828C2semidirect
5. #59667C2semidirect
6. #59666C2semidirect
9. #59467C2semidirect
10. #59467C2semidirect
11. #59459C2semidirect
12. #59456C2semidirect
17. #47731C2semidirect
18. #47730C2semidirect
19. #42826C2semidirect
20. #42823C2semidirect
21. #42822C2semidirect
22. #42819C2semidirect
25. #35972C2semidirect
26. #35957C2semidirect
27. #35936C2semidirect
28. #35868C2semidirect
301. #533Q8semidirect

Maximal subgroups

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

subgroupindex
#599182
#598712
#598682
#598282
#596672
#596662
#596642
#596632
#594672
#594592
#594562
#593222
#593212
#591542
#477312
#477302
#428262
#428232
#428222
#428192
#420002
#376232
#359722
#359572
#359362
#358682
#358102
#349662
C2×#25522
#342352
#342142