Finite Group Databasebeta

← #7712510

Subgroups — #7712510

Order 512.

4306 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59583C212yesmaximal, complemented
2#59505C212yesmaximal, complemented
3#59297C212yesmaximal, complemented
4#59296C212yesmaximal, complemented
5#46196C212yesmaximal, complemented
6#46191C212yesmaximal, complemented
7#45717C212yesmaximal
8#45690C212yesmaximal, complemented
9#40107C212yesmaximal, complemented
10#40083C212yesmaximal, complemented
11#40011C212yesmaximal
12#39987C212yesmaximal, complemented
13#39299C212yesmaximal, complemented
14#39296C212yesmaximal, complemented
15#39239C212yesmaximal, complemented
16#39225C212yesmaximal, complemented
17#39153C212yesmaximal, complemented
18#39119C212yesmaximal
19#39011C212yesmaximal, complemented
20#38999C212yesmaximal, complemented
21#37582C212yesmaximal, complemented
22#37416C212yesmaximal, complemented
23#37408C212yesmaximal, complemented
24#36640C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36563C211yesmaximal, characteristic, complemented
27#36560C211yesmaximal, characteristic, complemented
28#36210C211yesmaximal, characteristic, complemented
29#36210C211yesmaximal, characteristic, complemented
30#36209C211yesmaximal, characteristic, complemented
31#36209C211yesmaximal, characteristic, complemented
32#36194C211yesmaximal, characteristic, complemented
33#36194C211yesmaximal, characteristic, complemented
34#35294C211yesmaximal, characteristic, complemented
35#35294C211yesmaximal, characteristic, complemented
36#35291C211yesmaximal, characteristic, complemented
37#35291C211yesmaximal, characteristic, complemented
38#34490C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic
40C2×#557C2212yes—
41C2×#529C2211yescharacteristic
42#2868C2211yescharacteristic
43#2868C2211yescharacteristic
44#2864C2212yes—
45#2864C2212yes—
46#2864C2212yes—
47#2863C2212yes—
48#2863C2212yes—
49#2862C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2211yescharacteristic
54#2859C2211yescharacteristic
55#2859C2211yescharacteristic
56#2859C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic
63#2855C2212yes—
64#2855C2212yes—
65#2851C2212yes—
66#2851C2212yes—
67#2851C2212yes—
68#2851C2212yes—
69#2851C2212yes—
70#2839C2214yes—
71#2830C2214yes—
72#2810C2214yes—
73#2798C2214yes—
74#2796C2214yes—
75#2793C2214yes—
76#2793C2214yes—
77#2790C2214yes—
78#2789C2214yes—
79#2788C2214yes—
80#2787C2214yes—
81#2783C2214yes—
82#2776C2214yes—
83#2772C2214yes—
84#2767C2214yes—
85#2767C2214yes—
86#2767C2214yes—
87#2767C2214yes—
88#2766C2214yes—
89#2765C2214yes—
90#2764C2214yes—
91#2763C2214yes—
92#2762C2214yes—
93#2762C2214yes—
94#2761C2214yes—
95#2759C2214yes—
96#2759C2214yes—
97#2757C2214yes—
98#2754C2214yes—
99#2751C2214yes—
100#2731C2214yes—
101#2729C2214yes—
102#2719C2214yes—
103#2711C2214yes—
104#2666C2214yes—
105#2654C2214yes—
106#2651C2214yes—
107#2650C2214yes—
108#2645C2212yes—
109#2645C2212yes—
110#2629C2212yes—
111#2629C2212yes—
112#2628C2212yes—
113#2628C2212yes—
114#2625C2212yes—
115#2625C2212yes—
116#2605C2214yes—
117#2596C2214yes—
118#2594C2214yes—
119#2582C2212yes—
120#2573C2214yes—
121#2571C2212yes—
122#2571C2212yes—
123#2570C2214yes—
124#2570C2212yes—
125#2570C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2568C2212yes—
129#2567C2212yes—
130#2565C2212yes—
131#2565C2212yes—
132#2563C2212yes—
133#2563C2212yes—
134#2562C2212yes—
135#2562C2212yes—
136#2558C2214yes—
137#2552C2212yes—
138#2550C2212yes—
139#2550C2212yes—
140#2550C2212yes—
141#2550C2212yes—
142#2550C2212yes—
143#2550C2212yes—
144#2546C2212yes—
145#2546C2212yes—
146#2538C2212yes—
147#2538C2212yes—
148#2536C2212yes—
149#2536C2212yes—
150#2533C2214yes—
151#2532C2214yes—
152#2532C2214yes—
153#2529C2214yes—
154#2527C2214yes—
155#2525C2214yes—
156#2524C2214yes—
157#2519C2214yes—
158#2514C2214yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2514C2212yes—
163#2514C2214yes—
164#2509C2212yes—
165#2509C2212yes—
166#2509C2212yes—
167#2509C2212yes—
168#2508C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2508C2212yes—
173#2508C2212yes—
174#2507C2212yes—
175#2507C2212yes—
176#2506C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2497C2212yes—
183#2497C2212yes—
184#2495C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2495C2212yes—
188#2495C2212yes—
189#2495C2212yes—
190#2495C2212yes—
191#2495C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2494C2212yes—
197#2494C2212yes—
198#2492C2212yes—
199#2492C2212yes—
200#2492C2212yes—
201#2492C2212yes—
202#2489C2212yes—
203#2489C2212yes—
204#2489C2212yes—
205#2489C2212yes—
206#2489C2212yes—
207#2489C2212yes—
208#2485C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2485C2212yes—
212#2485C2212yes—
213#2485C2212yes—
214#2469C2214yes—
215#2458C2214yes—
216#2453C2212yes—
217#2453C2212yes—
218#2451C2212yes—
219#2451C2212yes—
220#2441C2212yes—
221#2441C2212yes—
222#2441C2212yes—
223#2441C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2439C2212yes—
227#2439C2212yes—
228#2439C2212yes—
229#2439C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2421C2212yes—
233#2421C2212yes—
234#2421C2212yes—
235#2421C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2382C2214yes—
239#2381C2214yes—
240#2371C2214yes—
241#2370C2212yes—
242#2370C2212yes—
243#2369C2212yes—
244#2369C2212yes—
245#2369C2212yes—
246#2365C2212yes—
247#2365C2212yes—
248#2362C2212yes—
249#2362C2212yes—
250#2356C2212yes—
251#2356C2212yes—
252#2356C2214yes—
253#2355C2212yes—
254#2355C2212yes—
255#2355C2212yes—
256#2354C2212yes—
257#2354C2212yes—
258Q8×C4⋊C4C2212yes—
259#2347C2212yes—
260#2347C2212yes—
261#2346C2212yes—
262#2346C2212yes—
263#2346C2212yes—
264#2346C2212yes—
265#2336C2214yes—
266#2336C2214yes—
267#2331C2212yes—
268#2331C2214yes—
269#2331C2212yes—
270#2330C2212yes—
271#2330C2212yes—
272#2323C2212yes—
273#2323C2212yes—
274#2320C2212yes—
275#2320C2212yes—
276#2320C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#125C2212yes—
284C4×#125C2212yes—
285C4×#125C2212yes—
286C4×#125C2212yes—
287C4×#125C2212yes—
288C4×#125C2211yescharacteristic
289C4×#125C2211yescharacteristic
290C4×#126C2211yescharacteristic
291C4×#126C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#124C2211yescharacteristic
295C4×#124C2211yescharacteristic
296C4×C22⋊Q8C2212yes—
297C4×C22⋊Q8C2212yes—
298C4×C22⋊Q8C2211yescharacteristic
299C4×C22⋊Q8C2211yescharacteristic
300C4×#123C2211yescharacteristic
301C4×#123C2211yescharacteristic
302C4×#123C2211yescharacteristic
303C4×#123C2211yescharacteristic
304C4×#121C2211yescharacteristic
305C4×#121C2211yescharacteristic
306#2298C2211yescharacteristic
307#2298C2211yescharacteristic
308#2296C2212yes—
309#2296C2212yes—
310#2295C2212yes—
311#2295C2212yes—
312#2295C2211yescharacteristic
313#2293C2211yescharacteristic
314#2290C2211yescharacteristic
315#2290C2211yescharacteristic
316#2285C2211yescharacteristic
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321#2285C2211yescharacteristic
322#2283C2212yes—
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331#557—216no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341#529—28no—
342C2×#126C2311yescharacteristic
343C2×#126C2311yescharacteristic
344C2×#125C2311yescharacteristic
345C2×#125C2312yes—
346C2×#125C2312yes—
347C2×#125C2314yes—
348C2×#125C2314yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#124C2311yescharacteristic
355C2×#123C2311yescharacteristic
356C2×#123C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×#121C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403#401C2314yes—
404#401C2314yes—
405#401C2314yes—
406#401C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#390C2314yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#388C2311yescharacteristic
588#388C2311yescharacteristic
589#388C2311yescharacteristic
590#388C2311yescharacteristic
591#388C2311yescharacteristic
592#388C2311yescharacteristic
593#388C2311yescharacteristic
594#388C2311yescharacteristic
595#388C2311yescharacteristic
596#388C2311yescharacteristic
597#388C2311yescharacteristic
598#388C2311yescharacteristic
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2311yescharacteristic
624#388C2311yescharacteristic
625#388C2311yescharacteristic
626#388C2311yescharacteristic
627#387C2311yescharacteristic
628#387C2311yescharacteristic
629#387C2311yescharacteristic
630#387C2311yescharacteristic
631#387C2311yescharacteristic
632#387C2311yescharacteristic
633#387C2311yescharacteristic
634#387C2311yescharacteristic
635#387C2311yescharacteristic
636#387C2311yescharacteristic
637#387C2311yescharacteristic
638#387C2311yescharacteristic
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2311yescharacteristic
650#387C2311yescharacteristic
651#387C2311yescharacteristic
652#387C2311yescharacteristic
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#386C2311yescharacteristic
694#386C2311yescharacteristic
695#386C2311yescharacteristic
696#386C2311yescharacteristic
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2311yescharacteristic
704#385C2311yescharacteristic
705#385C2311yescharacteristic
706#385C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2314yes—
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#383C2311yescharacteristic
721#383C2311yescharacteristic
722#383C2314yes—
723#383C2314yes—
724#383C2314yes—
725#383C2314yes—
726#383C2314yes—
727#383C2314yes—
728#383C2314yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2314yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2314yes—
743#382C2314yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2314yes—
748#382C2314yes—
749#382C2312yes—
750#382C2314yes—
751#382C2314yes—
752#382C2312yes—
753#382C2312yes—
754#381C2311yescharacteristic
755#381C2314yes—
756#381C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871#376C2311yescharacteristic
872#376C2311yescharacteristic
873#376C2314yes—
874#376C2311yescharacteristic
875#376C2311yescharacteristic
876#376C2314yes—
877#376C2314yes—
878C43C2311yescharacteristic
879C43C2311yescharacteristic
880C43C2311yescharacteristic
881C43C2311yescharacteristic
882C43C2311yescharacteristic
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C22×Q8C2412yes—
889C22×Q8C2412yes—
890C22×Q8C2414yes—
891C22×Q8C2414yes—
892C22×Q8C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C4⋊Q8—216no—
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—44no—
914C4⋊Q8—44no—
915C4⋊Q8—44no—
916C4⋊Q8—44no—
917C4⋊Q8—44no—
918#126—24no—
919#126—24no—
920#125—24no—
921#125—216no—
922#125—216no—
923#125—28no—
924#125—28no—
925#125—44no—
926#125—44no—
927#125—44no—
928#125—44no—
929#125—44no—
930#124—24no—
931#123—24no—
932#123—24no—
933C22⋊Q8—24no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940#121—24no—
941C4×Q8—216no—
942C4×Q8—28no—
943C4×Q8—28no—
944C4×Q8—28no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8#4118yes—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—42no—
957C4×D4—42no—
958C4×D4—42no—
959C4×D4—42no—
960#117—28no—
961#117—24no—
962#117—24no—
963#117—42no—
964#117—42no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—44no—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—24no—
1093C2×C42—42no—
1094C2×C42—42no—
1095C2×C42—42no—
1096C2×C42—42no—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2414yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2414yes—
1199#95C2414yes—
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24C2511yescharacteristic
1250C24C2511yescharacteristic
1251C24C2511yescharacteristic
1252C2×Q8—24no—
1253C2×Q8—28no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—24no—
1259C2×Q8—41no—
1260C2×Q8—41no—
1261C2×Q8—44no—
1262C2×Q8—44no—
1263C2×Q8—44no—
1264C2×Q8—44no—
1265C2×Q8—44no—
1266C2×Q8C2×#4114yes—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C42−1+414yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2514yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2514yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2514yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2514yes—
1337C22×C4C2514yes—
1338C22×C4C2514yes—
1339C22×C4C2514yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4C2×#4114yes—
1429C4⋊C4C2×#4114yes—
1430C4⋊C4C2×#4114yes—
1431C22⋊C4—28no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—28no—
1473C42—28no—
1474C42—28no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—28no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—41no—
1508C42—41no—
1509C42—41no—
1510C42—41no—
1511C42—41no—
1512C42—41no—
1513C42—41no—
1514C42—41no—
1515C42—44no—
1516C42—44no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42C2×#4114yes—
1524C42C2×#4114yes—
1525C42C2×#4114yes—
1526C422−1+414yes—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23C2×2−1+412yes—
1548C23C2611yescharacteristic
1549Q8—44no—
1550Q8—48no—
1551Q8—48no—
1552Q8—88no—
1553Q8—164no—
1554D4—44no—
1555D4—44no—
1556D4—44no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—28no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×2−1+412yes—
1670C2×C4C2×2−1+412yes—
1671C2×C4C2×2−1+412yes—
1672C2×C4C2×2−1+412yes—
1673C2×C4C2×2−1+412yes—
1674C2×C4#58512yes—
1675C2×C4#58512yes—
1676C2×C4#58512yes—
1677C2×C4#58512yes—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22C23×#4111yescharacteristic
1700C22C22×2−1+411yescharacteristic
1701C22C22×2−1+411yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22C2×#58511yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—44no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—44no—
1723C4—44no—
1724C4—41no—
1725C4—41no—
1726C4—44no—
1727C4—44no—
1728C4—41no—
1729C4—41no—
1730C4—44no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—44no—
1737C4—44no—
1738C4—41no—
1739C4#351814yes—
1740C4#356314yes—
1741C4#356514yes—
1742C2—42no—
1743C2—81no—
1744C2—81no—
1745C2C2×#356311yescharacteristic
1746C2C2×#356511yescharacteristic
1747C2C2×#351811yescharacteristic
1748C2#6280511yescharacteristic
1749C2#6281511yescharacteristic
1750C2#6283811yescharacteristic
1751C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59583C2semidirect
2. #59505C2semidirect
3. #59297C2semidirect
4. #59296C2semidirect
5. #46196C2semidirect
6. #46191C2semidirect
8. #45690C2semidirect
9. #40107C2semidirect
10. #40083C2semidirect
12. #39987C2semidirect
13. #39299C2semidirect
14. #39296C2semidirect
15. #39239C2semidirect
16. #39225C2semidirect
17. #39153C2semidirect
19. #39011C2semidirect
20. #38999C2semidirect
21. #37582C2semidirect
22. #37416C2semidirect
23. #37408C2semidirect
24. #36640C2semidirect
25. #36635C2semidirect
26. #36563C2semidirect
27. #36560C2semidirect
28. #36210C2semidirect
29. #36210C2semidirect
30. #36209C2semidirect
31. #36209C2semidirect
32. #36194C2semidirect
33. #36194C2semidirect
34. #35294C2semidirect
35. #35294C2semidirect
36. #35291C2semidirect
37. #35291C2semidirect
38. #34490C2semidirect

Maximal subgroups

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

subgroupindex
#595832
#595052
#592972
#592962
#461962
#461912
#457172
#456902
#401072
#400832
#400112
#399872
#392992
#392962
#392392
#392252
#391532
#391192
#390112
#389992
#375822
#374162
#374082
#366402
#366352
#365632
#365602
#362102
#362092
#361942
#352942
#352912
#344902
C4×#5292