Finite Group Databasebeta

← #7692204

Subgroups — #7692204

Order 512.

4601 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59884C214yesmaximal, complemented
3#59489C212yesmaximal, complemented
4#59451C211yesmaximal, characteristic, complemented
5#59383C212yesmaximal, complemented
6#59306C212yesmaximal, complemented
7#59249C211yesmaximal, characteristic, complemented
8#59243C211yesmaximal, characteristic, complemented
9#45222C212yesmaximal, complemented
10#45218C212yesmaximal, complemented
11#44550C214yesmaximal, complemented
12#43335C214yesmaximal, complemented
13#39250C212yesmaximal, complemented
14#39236C212yesmaximal
15#39183C211yesmaximal, characteristic, complemented
16#39139C211yesmaximal, characteristic, complemented
17#38496C214yesmaximal, complemented
18#37897C212yesmaximal, complemented
19#36600C212yesmaximal, complemented
20#36577C211yesmaximal, characteristic, complemented
21#36555C211yesmaximal, characteristic, complemented
22#36552C211yesmaximal, characteristic, complemented
23#36384C212yesmaximal, complemented
24#36272C212yesmaximal, complemented
25#36272C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#35911C212yesmaximal, complemented
28#35789C212yesmaximal, complemented
29#34915C212yesmaximal, complemented
30#34708C211yesmaximal, characteristic
31#34328C211yesmaximal, characteristic, complemented
32#34300C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×#552C2212yes—
39C2×#529C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2864C2212yes—
42#2859C2211yescharacteristic
43#2859C2212yes—
44#2859C2214yes—
45#2857C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2851C2212yes—
49#2802C2214yes—
50#2796C2214yes—
51#2794C2214yes—
52#2793C2214yes—
53#2791C2214yes—
54#2786C2214yes—
55#2777C2214yes—
56#2776C2214yes—
57#2773C2214yes—
58#2773C2214yes—
59#2767C2214yes—
60#2762C2214yes—
61#2754C2214yes—
62#2747C2214yes—
63#2747C2214yes—
64#2747C2214yes—
65#2741C2214yes—
66#2741C2214yes—
67#2721C2214yes—
68#2694C2214yes—
69#2691C2214yes—
70#2655C2214yes—
71#2652C2214yes—
72#2647C2212yes—
73#2621C2212yes—
74#2611C2214yes—
75#2611C2214yes—
76#2611C2214yes—
77#2597C2214yes—
78#2596C2214yes—
79#2596C2214yes—
80#2596C2214yes—
81#2595C2214yes—
82#2594C2214yes—
83#2594C2214yes—
84#2590C2214yes—
85#2589C2214yes—
86#2589C2214yes—
87#2588C2214yes—
88#2587C2214yes—
89#2585C2214yes—
90#2585C2214yes—
91#2585C2214yes—
92#2585C2214yes—
93#2585C2214yes—
94#2582C2212yes—
95#2582C2211yescharacteristic
96#2578C2214yes—
97#2570C2214yes—
98#2570C2212yes—
99#2570C2212yes—
100#2570C2214yes—
101#2568C2211yescharacteristic
102#2568C2212yes—
103#2565C2212yes—
104#2562C2212yes—
105#2553C2214yes—
106#2553C2214yes—
107#2553C2214yes—
108#2552C2212yes—
109#2552C2211yescharacteristic
110#2552C2211yescharacteristic
111#2552C2212yes—
112#2552C2212yes—
113#2542C2211yescharacteristic
114#2542C2212yes—
115#2538C2211yescharacteristic
116#2536C2212yes—
117#2532C2214yes—
118#2531C2214yes—
119#2530C2214yes—
120#2528C2214yes—
121#2528C2214yes—
122#2527C2214yes—
123#2525C2214yes—
124#2524C2214yes—
125#2523C2214yes—
126#2522C2214yes—
127#2517C2214yes—
128#2517C2214yes—
129#2514C2212yes—
130#2513C2212yes—
131#2513C2212yes—
132#2511C2212yes—
133#2511C2212yes—
134#2509C2212yes—
135#2509C2212yes—
136#2509C2212yes—
137#2508C2212yes—
138#2505C2214yes—
139#2502C2212yes—
140#2499C2212yes—
141#2499C2212yes—
142#2497C2212yes—
143#2496C2214yes—
144#2496C2212yes—
145#2496C2212yes—
146#2496C2212yes—
147#2495C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2494C2212yes—
151#2494C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2489C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2485C2212yes—
158#2481C2212yes—
159#2478C2214yes—
160#2478C2214yes—
161#2469C2212yes—
162#2468C2214yes—
163#2458C2212yes—
164#2454C2212yes—
165#2453C2212yes—
166#2453C2214yes—
167#2453C2212yes—
168#2453C2212yes—
169#2453C2211yescharacteristic
170#2453C2212yes—
171#2448C2212yes—
172#2448C2212yes—
173#2448C2211yescharacteristic
174#2443C2212yes—
175#2442C2214yes—
176#2442C2212yes—
177#2442C2211yescharacteristic
178#2436C2211yescharacteristic
179#2426C2211yescharacteristic
180#2423C2212yes—
181#2423C2212yes—
182#2423C2212yes—
183#2422C2214yes—
184#2422C2212yes—
185#2421C2211yescharacteristic
186#2421C2212yes—
187#2421C2212yes—
188#2416C2211yescharacteristic
189#2415C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2409C2211yescharacteristic
193#2401C2214yes—
194#2398C2212yes—
195#2396C2212yes—
196#2395C2214yes—
197#2374C2214yes—
198#2373C2212yes—
199#2373C2214yes—
200#2373C2214yes—
201#2371C2214yes—
202#2371C2214yes—
203#2371C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2370C2212yes—
209#2370C2211yescharacteristic
210#2367C2212yes—
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2362C2211yescharacteristic
214#2362C2212yes—
215#2362C2212yes—
216#2360C2212yes—
217#2360C2212yes—
218#2360C2211yescharacteristic
219#2360C2212yes—
220#2359C2212yes—
221#2359C2214yes—
222#2356C2212yes—
223#2356C2212yes—
224#2356C2211yescharacteristic
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2212yes—
229#2355C2212yes—
230#2355C2212yes—
231#2355C2212yes—
232#2355C2212yes—
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2352C2211yescharacteristic
236#2352C2212yes—
237#2351C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243#2347C2212yes—
244#2346C2211yescharacteristic
245#2346C2214yes—
246#2345C2214yes—
247#2345C2212yes—
248#2345C2212yes—
249#2344C2211yescharacteristic
250#2343C2212yes—
251Q8×C22⋊C4C2212yes—
252Q8×C22⋊C4C2212yes—
253#2336C2214yes—
254#2335C2214yes—
255#2334C2214yes—
256#2334C2214yes—
257#2330C2212yes—
258#2327C2212yes—
259#2323C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#125C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2214yes—
266C4×#126C2212yes—
267C4×#124C2211yescharacteristic
268C4×#124C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279#2298C2214yes—
280#2295C2211yescharacteristic
281#2295C2212yes—
282#2295C2212yes—
283#2295C2214yes—
284#2293C2214yes—
285#2293C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2276C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#557—28no—
301#552—28no—
302#552—216no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×C4×Q8—28no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379#401C2314yes—
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
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#398C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2312yes—
447#395C2312yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#393C2312yes—
455#393C2312yes—
456#393C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#390C2314yes—
480#390C2314yes—
481#390C2312yes—
482#390C2312yes—
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2311yescharacteristic
486#390C2312yes—
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
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#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2314yes—
673#384C2314yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#383C2312yes—
679#383C2314yes—
680#383C2314yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2314yes—
687#382C2312yes—
688#382C2314yes—
689#382C2311yescharacteristic
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#381C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2312yes—
705#380C2314yes—
706#380C2311yescharacteristic
707#380C2314yes—
708#380C2311yescharacteristic
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2314yes—
815C22×Q8—24no—
816C22×Q8—24no—
817C22×Q8—42no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841#126—28no—
842#126—28no—
843#126—216no—
844#126—48no—
845#125—24no—
846#125—24no—
847#125—28no—
848#125—28no—
849#125—216no—
850#125—28no—
851#125—216no—
852#125—44no—
853#125—44no—
854#124—24no—
855#124—24no—
856#123—28no—
857#123—28no—
858#123—216no—
859C22⋊Q8—24no—
860C22⋊Q8—24no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868#121—24no—
869#121—44no—
870#121—42no—
871C4×Q8—24no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×Q8—44no—
886C4×Q8#4118yes—
887C4×D4—24no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—44no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—48no—
895#117—28no—
896#117—28no—
897#117—216no—
898#117—44no—
899#117—44no—
900#117—44no—
901#117—42no—
902#117—44no—
903#117#4118yes—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—42no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C42—24no—
1026C2×C42—28no—
1027C2×C42—24no—
1028C2×C42—44no—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2414yes—
1106#95C2411yescharacteristic
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155C24C2512yes—
1156C24C2511yescharacteristic
1157C24C2511yescharacteristic
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—42no—
1171C2×Q8—416no—
1172C2×Q8C2×#4114yes—
1173C2×Q82−1+414yes—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—22no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—42no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—41no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—41no—
1220C22×C4—42no—
1221C22×C4C2×#4114yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2514yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4C2×#4114yes—
1329C4⋊C4C2×#4114yes—
1330C4⋊C4C2×#4118yes—
1331C4⋊C4C2×#4114yes—
1332C22⋊C4—22no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—22no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—22no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4C2×#4118yes—
1370C42—22no—
1371C42—24no—
1372C42—24no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—28no—
1381C42—22no—
1382C42—24no—
1383C42—28no—
1384C42—24no—
1385C42—28no—
1386C42—24no—
1387C42—22no—
1388C42—24no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42—42no—
1396C42—41no—
1397C42—42no—
1398C42—44no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—41no—
1406C42—44no—
1407C42—44no—
1408C42—44no—
1409C42—42no—
1410C42—44no—
1411C42C2×#4114yes—
1412C42C2×#4118yes—
1413C42C2×#4118yes—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23C22×#4112yes—
1434C23#58512yes—
1435C23C2611yescharacteristic
1436Q8—28no—
1437Q8—28no—
1438Q8—48no—
1439Q8—48no—
1440Q8—44no—
1441D4—48no—
1442D4—44no—
1443D4—44no—
1444D4—84no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—48no—
1530C2×C4—44no—
1531C2×C4—48no—
1532C2×C4—44no—
1533C2×C4—48no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—82no—
1537C2×C4—84no—
1538C2×C4—88no—
1539C2×C4—84no—
1540C2×C4C22×#4114yes—
1541C2×C4C22×#4114yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4114yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4114yes—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4112yes—
1549C2×C4C2×2−1+414yes—
1550C2×C4C2×2−1+412yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22C23×#4111yescharacteristic
1575C22C23×#4111yescharacteristic
1576C22C22×2−1+411yescharacteristic
1577C22C2×#58511yescharacteristic
1578C22C2×#58511yescharacteristic
1579C22C2×#58511yescharacteristic
1580C222−1+611yescharacteristic
1581C4—22no—
1582C4—24no—
1583C4—24no—
1584C4—24no—
1585C4—24no—
1586C4—24no—
1587C4—22no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—42no—
1594C4—41no—
1595C4—44no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4—42no—
1600C4—44no—
1601C4—41no—
1602C4—42no—
1603C4—41no—
1604C4—42no—
1605C4—42no—
1606C4—44no—
1607C4—41no—
1608C4—44no—
1609C4—42no—
1610C4—42no—
1611C4#348014yes—
1612C4#349514yes—
1613C2—42no—
1614C2—42no—
1615C2—82no—
1616C2C2×#348011yescharacteristic
1617C2C2×#349511yescharacteristic
1618C2#6281611yescharacteristic
1619C2#6296711yescharacteristic
1620C2#6299311yescharacteristic
1621C2#6300111yescharacteristic
1622C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2416C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59884C2semidirect
3. #59489C2semidirect
4. #59451C2semidirect
5. #59383C2semidirect
6. #59306C2semidirect
7. #59249C2semidirect
8. #59243C2semidirect
9. #45222C2semidirect
10. #45218C2semidirect
11. #44550C2semidirect
12. #43335C2semidirect
13. #39250C2semidirect
15. #39183C2semidirect
16. #39139C2semidirect
17. #38496C2semidirect
18. #37897C2semidirect
19. #36600C2semidirect
20. #36577C2semidirect
21. #36555C2semidirect
22. #36552C2semidirect
23. #36384C2semidirect
24. #36272C2semidirect
25. #36272C2semidirect
26. #36210C2semidirect
27. #35911C2semidirect
28. #35789C2semidirect
29. #34915C2semidirect
31. #34328C2semidirect
32. #34300C2semidirect
33. #34243C2semidirect
34. C4×#552C2semidirect
35. Q8×#117C2semidirect

Maximal subgroups

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

subgroupindex
#598932
#598842
#594892
#594512
#593832
#593062
#592492
#592432
#452222
#452182
#445502
#433352
#392502
#392362
#391832
#391392
#384962
#378972
#366002
#365772
#365552
#365522
#363842
#362722
#362102
#359112
#357892
#349152
#347082
#343282
#343002
#342432
C4×#5522
Q8×#1172