Finite Group Databasebeta

← #7632780

Subgroups — #7632780

Order 512.

4728 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36600C212yesmaximal, complemented
2#36497C212yesmaximal, complemented
3#36283C212yesmaximal, complemented
4#36283C212yesmaximal, complemented
5#36282C214yesmaximal
6#36280C214yesmaximal
7#36035C214yesmaximal
8#35972C212yesmaximal, complemented
9#35972C212yesmaximal, complemented
10#35972C212yesmaximal, complemented
11#35867C212yesmaximal, complemented
12#35810C214yesmaximal
13#35668C211yesmaximal, characteristic
14#35662C211yesmaximal, characteristic
15#35643C212yesmaximal, complemented
16#35642C212yesmaximal, complemented
17#35642C212yesmaximal, complemented
18#35640C211yesmaximal, characteristic
19#35583C212yesmaximal, complemented
20#35566C211yesmaximal, characteristic
21#35265C211yesmaximal, characteristic
22#35221C212yesmaximal, complemented
23#35208C212yesmaximal, complemented
24#35154C211yesmaximal, characteristic
25#34951C212yesmaximal, complemented
26#34920C212yesmaximal, complemented
27#34815C211yesmaximal, characteristic
28C2×#2453C211yesmaximal, characteristic
29#34272C211yesmaximal, characteristic
30#34272C211yesmaximal, characteristic
31#34254C211yesmaximal, characteristic
32#34254C211yesmaximal, characteristic
33#34217C211yesmaximal, characteristic
34#34145C211yesmaximal, characteristic
35C4×#519C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43#2864C2214yes—
44#2864C2212yes—
45#2863C2214yes—
46#2863C2214yes—
47#2859C2214yes—
48#2859C2212yes—
49#2855C2214yes—
50#2666C2214yes—
51#2666C2214yes—
52#2666C2214yes—
53#2666C2214yes—
54#2647C2212yes—
55#2647C2212yes—
56#2627C2214yes—
57#2612C2214yes—
58#2612C2214yes—
59#2612C2214yes—
60#2612C2214yes—
61#2606C2214yes—
62#2606C2214yes—
63#2606C2214yes—
64#2606C2214yes—
65#2606C2214yes—
66#2605C2214yes—
67#2605C2214yes—
68#2605C2214yes—
69#2590C2214yes—
70#2590C2214yes—
71#2590C2214yes—
72#2590C2214yes—
73#2588C2214yes—
74#2588C2214yes—
75#2588C2214yes—
76#2588C2214yes—
77#2586C2214yes—
78#2586C2214yes—
79#2585C2214yes—
80#2585C2214yes—
81#2585C2214yes—
82#2585C2214yes—
83#2585C2214yes—
84#2585C2214yes—
85#2584C2212yes—
86#2584C2212yes—
87#2583C2214yes—
88#2582C2212yes—
89#2582C2212yes—
90#2581C2212yes—
91#2581C2212yes—
92#2570C2214yes—
93#2570C2214yes—
94#2570C2214yes—
95#2568C2212yes—
96#2567C2212yes—
97#2567C2212yes—
98#2565C2212yes—
99#2565C2212yes—
100#2552C2212yes—
101#2552C2212yes—
102#2552C2212yes—
103#2552C2212yes—
104#2552C2212yes—
105#2551C2212yes—
106#2550C2212yes—
107#2550C2212yes—
108#2550C2212yes—
109#2550C2212yes—
110#2550C2212yes—
111#2550C2212yes—
112#2550C2214yes—
113#2549C2214yes—
114#2546C2212yes—
115#2520C2214yes—
116#2520C2214yes—
117#2520C2214yes—
118#2520C2214yes—
119#2511C2214yes—
120#2511C2214yes—
121#2511C2214yes—
122#2509C2211yescharacteristic
123#2509C2211yescharacteristic
124#2509C2212yes—
125#2508C2211yescharacteristic
126#2508C2212yes—
127#2508C2211yescharacteristic
128#2507C2211yescharacteristic
129#2507C2214yes—
130#2507C2214yes—
131#2507C2212yes—
132#2507C2214yes—
133#2507C2211yescharacteristic
134#2506C2212yes—
135#2506C2211yescharacteristic
136#2506C2211yescharacteristic
137#2505C2212yes—
138#2505C2214yes—
139#2505C2212yes—
140#2502C2214yes—
141#2473C2212yes—
142#2473C2214yes—
143#2473C2212yes—
144#2462C2214yes—
145#2462C2214yes—
146#2462C2214yes—
147#2462C2214yes—
148#2453C2212yes—
149#2453C2212yes—
150#2453C2212yes—
151#2453C2212yes—
152#2453C2212yes—
153#2453C2212yes—
154#2453C2212yes—
155#2453C2212yes—
156#2453C2212yes—
157#2453C2212yes—
158#2453C2212yes—
159#2453C2212yes—
160#2453C2212yes—
161#2453C2212yes—
162#2453C2212yes—
163#2453C2212yes—
164#2451C2212yes—
165#2451C2212yes—
166#2451C2212yes—
167#2451C2214yes—
168#2451C2212yes—
169#2451C2212yes—
170#2451C2212yes—
171#2451C2212yes—
172#2451C2212yes—
173#2446C2214yes—
174#2440C2214yes—
175#2438C2214yes—
176#2438C2214yes—
177#2438C2214yes—
178#2438C2214yes—
179#2402C2212yes—
180#2402C2214yes—
181#2402C2212yes—
182#2402C2214yes—
183#2402C2214yes—
184#2399C2214yes—
185C2×#400C2212yes—
186C2×#398C2212yes—
187#2370C2212yes—
188#2370C2211yescharacteristic
189#2370C2211yescharacteristic
190#2370C2211yescharacteristic
191#2370C2211yescharacteristic
192#2370C2212yes—
193#2370C2212yes—
194#2370C2212yes—
195#2370C2212yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2369C2212yes—
200#2369C2211yescharacteristic
201#2369C2211yescharacteristic
202#2369C2212yes—
203#2368C2212yes—
204#2368C2212yes—
205#2368C2214yes—
206#2368C2214yes—
207#2365C2211yescharacteristic
208#2365C2212yes—
209#2365C2211yescharacteristic
210#2365C2212yes—
211#2360C2212yes—
212#2360C2212yes—
213#2360C2214yes—
214#2360C2214yes—
215#2356C2212yes—
216#2356C2212yes—
217#2356C2212yes—
218#2356C2212yes—
219#2355C2212yes—
220#2355C2212yes—
221#2355C2212yes—
222#2355C2212yes—
223#2345C2214yes—
224#2345C2214yes—
225#2343C2214yes—
226#2343C2214yes—
227#2343C2214yes—
228#2343C2214yes—
229#2331C2212yes—
230#2331C2212yes—
231#2330C2212yes—
232#2330C2212yes—
233#2330C2212yes—
234#2330C2212yes—
235#2320C2212yes—
236#2320C2212yes—
237#2320C2212yes—
238#2320C2212yes—
239#2317C2211yescharacteristic
240#2317C2211yescharacteristic
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2316C2211yescharacteristic
244#2316C2211yescharacteristic
245#2310C2211yescharacteristic
246#2310C2211yescharacteristic
247C4×C4⋊Q8C2212yes—
248C4×C4⋊Q8C2212yes—
249C4×C4⋊Q8C2214yes—
250C4×#125C2212yes—
251C4×#125C2212yes—
252C4×#125C2212yes—
253C4×#125C2212yes—
254C4×#125C2214yes—
255C4×#125C2212yes—
256C4×#125C2212yes—
257#2296C2211yescharacteristic
258#2296C2211yescharacteristic
259#2296C2211yescharacteristic
260#2296C2211yescharacteristic
261#2296C2211yescharacteristic
262#2296C2211yescharacteristic
263#2295C2212yes—
264#2295C2212yes—
265#2295C2212yes—
266#2295C2212yes—
267#2295C2212yes—
268#2295C2212yes—
269#2295C2214yes—
270#2295C2214yes—
271#2295C2212yes—
272C2×#391C2211yescharacteristic
273C2×#391C2211yescharacteristic
274C2×#389C2212yes—
275C2×#389C2211yescharacteristic
276C2×#389C2211yescharacteristic
277C2×#387C2212yes—
278#2285C2211yescharacteristic
279#2276C2212yes—
280#2276C2212yes—
281#2276C2212yes—
282#2276C2212yes—
283#2274C2211yescharacteristic
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2274C2214yes—
287#2274C2211yescharacteristic
288C42×Q8C2212yes—
289C42×Q8C2212yes—
290C42×Q8C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2214yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#544—28no—
301#544—28no—
302#533—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×#125—28no—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328#519—28no—
329#519Q8116yescomplemented
330C2×C4×Q8—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2314yes—
355C2×#117C2311yescharacteristic
356C2×#117C2314yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
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#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#391C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#389C2311yescharacteristic
484#389C2311yescharacteristic
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#384C2312yes—
664#384C2314yes—
665#384C2312yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2314yes—
669#384C2314yes—
670#384C2312yes—
671#384C2312yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2314yes—
684#382C2314yes—
685#382C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#381C2314yes—
690#381C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793#376C2312yes—
794#376C2312yes—
795#376C2312yes—
796#376C2314yes—
797#376C2314yes—
798#376C2314yes—
799#376C2314yes—
800#376C2314yes—
801#376C2314yes—
802#376C2312yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2314yes—
816C43C2314yes—
817C22×Q8—24no—
818C22×Q8—24no—
819C22×Q8C2×Q818yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—28no—
843C4⋊Q8—48no—
844#125—28no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—24no—
849#125—24no—
850#125—28no—
851#125—28no—
852#125—28no—
853#125—28no—
854#125—48no—
855#125—44no—
856#125—44no—
857C22⋊Q8—216no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—216no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—48no—
874C4×Q8—44no—
875C4×Q8C2×Q8116yes—
876C4×Q8C2×Q8116yes—
877C4×Q8C2×Q8116yes—
878C4×Q8C2×Q8116yes—
879#117—24no—
880#117—24no—
881#117—24no—
882#117—24no—
883#117—24no—
884#117—216no—
885#117C2×Q8132yes—
886#117C2×Q818yes—
887#117C2×Q818yes—
888#117#4118yes—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—28no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—42no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4#4118yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C42—28no—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—24no—
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2414yes—
1069#95C2411yescharacteristic
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149C24C2511yescharacteristic
1150C2×Q8—232no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—28no—
1158C2×Q8—28no—
1159C2×Q8—24no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8C22×Q818yes—
1168C2×Q8C22×Q818yes—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—42no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C4C22×Q818yes—
1198C22×C4C22×Q814yes—
1199C22×C4C2×#4118yes—
1200C22×C4C2×#4114yes—
1201C22×C4C2×#4114yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—44no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4C22×Q8116yes—
1323C4⋊C4C22×Q8116yes—
1324C4⋊C4C22×Q814yes—
1325C4⋊C4C22×Q814yes—
1326C4⋊C4C22×Q814yes—
1327C4⋊C4C22×Q814yes—
1328C4⋊C4C2×#4118yes—
1329C4⋊C4C2×#4118yes—
1330C4⋊C4C2×#4114yes—
1331C4⋊C4C2×#4114yes—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4C22×Q818yes—
1338C22⋊C4C22×Q818yes—
1339C22⋊C4C2×#4118yes—
1340C42—28no—
1341C42—22no—
1342C42—22no—
1343C42—28no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—28no—
1355C42—28no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—42no—
1365C42—42no—
1366C42—44no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—44no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42—42no—
1380C42—42no—
1381C42—44no—
1382C42—44no—
1383C42—42no—
1384C42—44no—
1385C42C22×Q8116yes—
1386C42C22×Q8116yes—
1387C42C22×Q818yes—
1388C42C22×Q818yes—
1389C42C2×#4118yes—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23C23×Q812yes—
1395C23C22×#4112yes—
1396C23C22×#4112yes—
1397C23C2611yescharacteristic
1398Q8—216no—
1399Q8—216no—
1400Q8—48no—
1401Q8—88no—
1402Q8—88no—
1403Q8—84no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—216no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—48no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—82no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—82no—
1500C2×C4#533116yes—
1501C2×C4C23×Q814yes—
1502C2×C4C23×Q814yes—
1503C2×C4C23×Q814yes—
1504C2×C4C23×Q814yes—
1505C2×C4C23×Q818yes—
1506C2×C4C23×Q812yes—
1507C2×C4C23×Q812yes—
1508C2×C4C22×#4114yes—
1509C2×C4C22×#4114yes—
1510C2×C4C22×#4118yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4112yes—
1513C2×C4C22×#4112yes—
1514C2×C4C22×#4112yes—
1515C2×C4#58512yes—
1516C2×C4#58512yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22C2×#53314yes—
1524C22C24×Q811yescharacteristic
1525C22C23×#4111yescharacteristic
1526C22C23×#4111yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22C2×#58511yescharacteristic
1529C222−1+611yescharacteristic
1530C222−1+611yescharacteristic
1531C4—28no—
1532C4—24no—
1533C4—24no—
1534C4—24no—
1535C4—24no—
1536C4—22no—
1537C4—22no—
1538C4—24no—
1539C4—24no—
1540C4—28no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—44no—
1553C4—42no—
1554C4—41no—
1555C4—44no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4C2×#53314yes—
1564C4C2×#53314yes—
1565C2—24no—
1566C2C22×#53311yescharacteristic
1567C2#6281011yescharacteristic
1568C2#6286111yescharacteristic
1569C2#6299111yescharacteristic
1570C2#6300411yescharacteristic
1571C2#6300411yescharacteristic
1572C2#6300511yescharacteristic
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. #36600C2semidirect
2. #36497C2semidirect
3. #36283C2semidirect
4. #36283C2semidirect
8. #35972C2semidirect
9. #35972C2semidirect
10. #35972C2semidirect
11. #35867C2semidirect
15. #35643C2semidirect
16. #35642C2semidirect
17. #35642C2semidirect
19. #35583C2semidirect
22. #35221C2semidirect
23. #35208C2semidirect
25. #34951C2semidirect
26. #34920C2semidirect
329. #519Q8semidirect

Maximal subgroups

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

subgroupindex
#366002
#364972
#362832
#362822
#362802
#360352
#359722
#358672
#358102
#356682
#356622
#356432
#356422
#356402
#355832
#355662
#352652
#352212
#352082
#351542
#349512
#349202
#348152
C2×#24532
#342722
#342542
#342172
#341452
C4×#5192