Finite Group Databasebeta

← #7647883

Subgroups — #7647883

Order 512.

4232 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42185C214yesmaximal, complemented
2#42182C214yesmaximal, complemented
3#40635C214yesmaximal, complemented
4#40632C214yesmaximal, complemented
5#39749C212yesmaximal, complemented
6#39494C212yesmaximal, complemented
7#39177C212yesmaximal, complemented
8#38960C212yesmaximal, complemented
9#38107C212yesmaximal, complemented
10#38104C212yesmaximal, complemented
11#37879C212yesmaximal, complemented
12#37878C212yesmaximal, complemented
13#37643C211yesmaximal, characteristic, complemented
14#37624C211yesmaximal, characteristic, complemented
15#37624C211yesmaximal, characteristic, complemented
16#37623C211yesmaximal, characteristic, complemented
17#37429C212yesmaximal, complemented
18#37425C212yesmaximal
19#37313C212yesmaximal, complemented
20#37310C212yesmaximal
21#35641C212yesmaximal, complemented
22#35579C212yesmaximal, complemented
23#35336C212yesmaximal, complemented
24#35286C211yesmaximal, characteristic, complemented
25#35282C212yesmaximal, complemented
26#35239C211yesmaximal, characteristic, complemented
27#35239C211yesmaximal, characteristic, complemented
28#35202C211yesmaximal, characteristic, complemented
29#35202C211yesmaximal, characteristic, complemented
30#35181C211yesmaximal, characteristic, complemented
31#34978C211yesmaximal, characteristic, complemented
32#34948C211yesmaximal, characteristic, complemented
33#34188C211yesmaximal, characteristic
34#34121C211yesmaximal, characteristic
35#34060C211yesmaximal, characteristic
36C2×C4×#41C2211yescharacteristic
37#2864C2212yes—
38#2864C2212yes—
39#2859C2212yes—
40#2859C2212yes—
41#2859C2212yes—
42#2859C2212yes—
43#2857C2212yes—
44#2857C2212yes—
45#2851C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2845C2214yes—
50#2843C2214yes—
51#2841C2214yes—
52#2841C2214yes—
53#2809C2214yes—
54#2809C2214yes—
55#2807C2214yes—
56#2806C2214yes—
57#2805C2214yes—
58#2802C2214yes—
59#2802C2214yes—
60#2799C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2790C2214yes—
64#2788C2214yes—
65#2784C2214yes—
66#2780C2214yes—
67#2780C2214yes—
68#2780C2214yes—
69#2780C2214yes—
70#2780C2214yes—
71#2780C2214yes—
72#2774C2214yes—
73#2768C2214yes—
74#2768C2214yes—
75#2755C2214yes—
76#2748C2214yes—
77#2748C2214yes—
78#2742C2214yes—
79#2732C2214yes—
80#2726C2214yes—
81#2720C2214yes—
82#2704C2214yes—
83#2692C2214yes—
84#2692C2214yes—
85#2667C2214yes—
86#2667C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2666C2214yes—
91#2660C2212yes—
92#2660C2212yes—
93#2660C2212yes—
94#2660C2212yes—
95#2647C2212yes—
96#2647C2212yes—
97#2647C2212yes—
98#2647C2212yes—
99#2647C2214yes—
100#2646C2214yes—
101#2629C2212yes—
102#2629C2212yes—
103#2629C2212yes—
104#2629C2212yes—
105#2629C2212yes—
106#2629C2214yes—
107#2629C2212yes—
108#2628C2212yes—
109#2628C2212yes—
110#2627C2214yes—
111#2612C2214yes—
112#2606C2214yes—
113#2606C2214yes—
114#2590C2214yes—
115#2590C2214yes—
116#2590C2214yes—
117#2590C2214yes—
118#2590C2214yes—
119#2589C2214yes—
120#2588C2214yes—
121#2587C2214yes—
122#2587C2214yes—
123#2587C2214yes—
124#2587C2214yes—
125#2587C2214yes—
126#2586C2214yes—
127#2585C2214yes—
128#2585C2214yes—
129#2585C2214yes—
130#2574C2214yes—
131#2574C2214yes—
132#2571C2212yes—
133#2571C2212yes—
134#2571C2211yescharacteristic
135#2571C2211yescharacteristic
136#2571C2211yescharacteristic
137#2571C2211yescharacteristic
138#2570C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2570C2212yes—
142#2570C2212yes—
143#2570C2212yes—
144#2570C2212yes—
145#2570C2212yes—
146#2570C2214yes—
147#2569C2214yes—
148#2556C2214yes—
149#2556C2214yes—
150#2552C2212yes—
151#2552C2212yes—
152#2552C2212yes—
153#2552C2211yescharacteristic
154#2552C2211yescharacteristic
155#2552C2211yescharacteristic
156#2552C2211yescharacteristic
157#2552C2212yes—
158#2552C2212yes—
159#2552C2211yescharacteristic
160#2552C2211yescharacteristic
161#2552C2212yes—
162#2552C2211yescharacteristic
163#2552C2211yescharacteristic
164#2552C2211yescharacteristic
165#2552C2211yescharacteristic
166#2551C2211yescharacteristic
167#2551C2211yescharacteristic
168#2550C2212yes—
169#2550C2212yes—
170#2550C2212yes—
171#2550C2212yes—
172#2522C2214yes—
173#2522C2214yes—
174#2522C2214yes—
175#2520C2214yes—
176#2520C2214yes—
177#2511C2214yes—
178#2507C2214yes—
179#2497C2214yes—
180#2465C2214yes—
181#2462C2214yes—
182#2462C2214yes—
183#2442C2212yes—
184#2442C2212yes—
185#2442C2212yes—
186#2442C2212yes—
187#2442C2212yes—
188#2442C2212yes—
189#2442C2212yes—
190#2442C2212yes—
191#2442C2214yes—
192#2441C2212yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2441C2212yes—
200#2441C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2438C2214yes—
213#2438C2214yes—
214#2423C2214yes—
215#2402C2214yes—
216#2396C2214yes—
217#2357C2212yes—
218#2356C2212yes—
219#2355C2211yescharacteristic
220#2355C2212yes—
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2212yes—
226#2354C2212yes—
227#2353C2212yes—
228#2353C2212yes—
229#2352C2211yescharacteristic
230#2352C2212yes—
231#2352C2211yescharacteristic
232#2352C2211yescharacteristic
233#2352C2211yescharacteristic
234#2352C2212yes—
235#2352C2212yes—
236#2352C2212yes—
237#2331C2212yes—
238#2331C2212yes—
239#2330C2212yes—
240#2330C2212yes—
241#2330C2212yes—
242#2330C2212yes—
243#2330C2212yes—
244#2330C2212yes—
245#2320C2212yes—
246#2319C2212yes—
247#2318C2212yes—
248#2318C2212yes—
249#2317C2211yescharacteristic
250#2317C2211yescharacteristic
251#2317C2212yes—
252#2317C2212yes—
253#2317C2212yes—
254#2316C2212yes—
255#2314C2211yescharacteristic
256#2314C2212yes—
257#2314C2211yescharacteristic
258#2314C2211yescharacteristic
259#2314C2211yescharacteristic
260#2314C2212yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270#2298C2212yes—
271#2298C2212yes—
272#2297C2212yes—
273#2296C2212yes—
274#2295C2212yes—
275#2293C2212yes—
276#2290C2212yes—
277#2290C2212yes—
278#2285C2211yescharacteristic
279#2285C2211yescharacteristic
280#2285C2211yescharacteristic
281#2285C2211yescharacteristic
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2285C2212yes—
286#2285C2211yescharacteristic
287C2×#384C2211yescharacteristic
288#2283C2211yescharacteristic
289#2283C2211yescharacteristic
290#2283C2211yescharacteristic
291#2283C2211yescharacteristic
292#2274C2212yes—
293C4×#117C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#125C2312yes—
305C2×#125C2312yes—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C4×#41Q8116yescomplemented
320C2×C4×Q8C2314yes—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2312yes—
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2312yes—
335C2×#117C2311yescharacteristic
336C2×#117C2312yes—
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C42C2312yes—
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#390C2312yes—
468#390C2312yes—
469#390C2314yes—
470#390C2312yes—
471#390C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2314yes—
485#389C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2312yes—
623#386C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2312yes—
628#385C2312yes—
629#385C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#384C2312yes—
643#384C2312yes—
644#384C2312yes—
645#384C2311yescharacteristic
646#384C2311yescharacteristic
647#384C2311yescharacteristic
648#384C2311yescharacteristic
649#384C2312yes—
650#384C2312yes—
651#384C2312yes—
652#384C2314yes—
653#384C2312yes—
654#384C2312yes—
655#384C2312yes—
656#384C2311yescharacteristic
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2314yes—
666#384C2311yescharacteristic
667#383C2312yes—
668#383C2312yes—
669#383C2312yes—
670#383C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2311yescharacteristic
677#382C2311yescharacteristic
678#382C2311yescharacteristic
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2314yes—
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2311yescharacteristic
697#381C2312yes—
698#381C2312yes—
699#381C2312yes—
700#381C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2314yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2314yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C43C2312yes—
809C43C2312yes—
810C43C2312yes—
811C2×#41—42no—
812C2×#41—42no—
813C2×#41C2×Q818yes—
814C22×Q8C2414yes—
815C22×Q8C2414yes—
816C22×Q8C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838#125—44no—
839#125—44no—
840#125—44no—
841#125—44no—
842#125—44no—
843#125—44no—
844#125—44no—
845#125—44no—
846#125—44no—
847#125—44no—
848#125—84no—
849#125—84no—
850C22⋊Q8—84no—
851C22⋊Q8—84no—
852C22⋊Q8—84no—
853C4×Q8—84no—
854C4×Q8C2×Q818yes—
855C4×Q8C2×Q818yes—
856C4×D4C2×Q818yes—
857C4×D4C2×Q818yes—
858C4×D4C2×Q818yes—
859C4×D4C2×Q818yes—
860C4×D4C2×Q818yes—
861C4×D4C2×Q818yes—
862#117—44no—
863#117—44no—
864#117—44no—
865#117—42no—
866#117—42no—
867#117—42no—
868#117—42no—
869#117—44no—
870#117—44no—
871#117—42no—
872#117—44no—
873#117—42no—
874#117—82no—
875#117—82no—
876#117C2×Q818yes—
877#117C2×Q818yes—
878#117C2×Q818yes—
879C2×C4⋊C4—42no—
880C2×C4⋊C4—42no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—82no—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C42—44no—
1009C2×C42—44no—
1010C2×C42C2×Q818yes—
1011C2×C42C2×Q818yes—
1012C2×C42C2×Q818yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
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#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24C2511yescharacteristic
1135C24C2511yescharacteristic
1136C24C2511yescharacteristic
1137#41—416no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8C22×Q814yes—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4C22×Q814yes—
1154C2×D4C22×Q814yes—
1155C2×D4C22×Q814yes—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4C22×Q814yes—
1190C22×C4C22×Q814yes—
1191C22×C4C22×Q814yes—
1192C22×C4C22×Q814yes—
1193C22×C4C22×Q814yes—
1194C22×C4C22×Q814yes—
1195C22×C4C22×Q814yes—
1196C22×C4C22×Q814yes—
1197C22×C4C22×Q814yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4C22×Q814yes—
1316C4⋊C4C22×Q814yes—
1317C4⋊C4C22×Q814yes—
1318C4⋊C4C22×Q814yes—
1319C4⋊C4C22×Q814yes—
1320C4⋊C4C22×Q814yes—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4C22×Q814yes—
1347C22⋊C4C22×Q814yes—
1348C22⋊C4C22×Q814yes—
1349C22⋊C4C22×Q814yes—
1350C22⋊C4C22×Q814yes—
1351C22⋊C4C22×Q814yes—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—42no—
1361C42—42no—
1362C42—42no—
1363C42—42no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—44no—
1371C42—44no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C42—42no—
1381C42C22×Q814yes—
1382C42C22×Q814yes—
1383C42C22×Q814yes—
1384C42C22×Q814yes—
1385C42C22×Q814yes—
1386C42C22×Q814yes—
1387C42C22×Q814yes—
1388C42C22×Q814yes—
1389C42C22×Q814yes—
1390C42C22×Q814yes—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23C23×Q812yes—
1410C23C23×Q812yes—
1411C23C23×Q812yes—
1412C23C2611yescharacteristic
1413Q8—44no—
1414Q8—88no—
1415Q8—164no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
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—21no—
1438C2×C4—21no—
1439C2×C4—28no—
1440C2×C4—28no—
1441C2×C4—28no—
1442C2×C4—28no—
1443C2×C4—28no—
1444C2×C4—28no—
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—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—84no—
1509C2×C4—84no—
1510C2×C4—84no—
1511C2×C4—84no—
1512C2×C4—164no—
1513C2×C4C23×Q812yes—
1514C2×C4C23×Q812yes—
1515C2×C4C23×Q812yes—
1516C2×C4C23×Q812yes—
1517C2×C4C23×Q812yes—
1518C2×C4C23×Q812yes—
1519C2×C4C23×Q812yes—
1520C2×C4C23×Q812yes—
1521C2×C4C23×Q812yes—
1522C2×C4C23×Q812yes—
1523C2×C4C23×Q812yes—
1524C2×C4C23×Q812yes—
1525C2×C4#58512yes—
1526C2×C4#58512yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22C24×Q811yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22H(7,𝔽2)11yescharacteristic
1556C222−1+611yescharacteristic
1557C4—22no—
1558C4—22no—
1559C4—22no—
1560C4—22no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—22no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—44no—
1584C4—44no—
1585C4—42no—
1586C4—42no—
1587C4#345814yes—
1588C4#350414yes—
1589C2—42no—
1590C2—42no—
1591C2—42no—
1592C2C2×#345811yescharacteristic
1593C2C2×#350411yescharacteristic
1594C2#6285411yescharacteristic
1595C2#6293711yescharacteristic
1596C2#6293911yescharacteristic
1597C2#6296711yescharacteristic
1598C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42185C2semidirect
2. #42182C2semidirect
3. #40635C2semidirect
4. #40632C2semidirect
5. #39749C2semidirect
6. #39494C2semidirect
7. #39177C2semidirect
8. #38960C2semidirect
9. #38107C2semidirect
10. #38104C2semidirect
11. #37879C2semidirect
12. #37878C2semidirect
13. #37643C2semidirect
14. #37624C2semidirect
15. #37624C2semidirect
16. #37623C2semidirect
17. #37429C2semidirect
19. #37313C2semidirect
21. #35641C2semidirect
22. #35579C2semidirect
23. #35336C2semidirect
24. #35286C2semidirect
25. #35282C2semidirect
26. #35239C2semidirect
27. #35239C2semidirect
28. #35202C2semidirect
29. #35202C2semidirect
30. #35181C2semidirect
31. #34978C2semidirect
32. #34948C2semidirect
319. C4×#41Q8semidirect

Maximal subgroups

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

subgroupindex
#421852
#421822
#406352
#406322
#397492
#394942
#391772
#389602
#381072
#381042
#378792
#378782
#376432
#376242
#376232
#374292
#374252
#373132
#373102
#356412
#355792
#353362
#352862
#352822
#352392
#352022
#351812
#349782
#349482
#341882
#341212
#340602