Finite Group Databasebeta

← #7679815

Subgroups — #7679815

Order 512.

4571 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59874C212yesmaximal, complemented
2#59752C212yesmaximal, complemented
3#59718C212yesmaximal, complemented
4#59645C212yesmaximal, complemented
5#59627C212yesmaximal, complemented
6#59489C212yesmaximal, complemented
7#59271C212yesmaximal, complemented
8#59242C212yesmaximal, complemented
9#43719C214yesmaximal, complemented
10#43711C214yesmaximal, complemented
11#43611C214yesmaximal, complemented
12#43603C214yesmaximal, complemented
13#39296C212yesmaximal, complemented
14#39286C212yesmaximal, complemented
15#39203C212yesmaximal, complemented
16#39200C211yesmaximal, characteristic, complemented
17#39193C211yesmaximal, characteristic, complemented
18#39187C212yesmaximal, complemented
19#39139C211yesmaximal, characteristic, complemented
20#39124C211yesmaximal, characteristic
21#36535C211yesmaximal, characteristic, complemented
22#36450C211yesmaximal, characteristic, complemented
23#36449C211yesmaximal, characteristic, complemented
24#36446C211yesmaximal, characteristic, complemented
25#35655C212yesmaximal, complemented
26#35636C212yesmaximal, complemented
27#35314C212yesmaximal, complemented
28#35291C211yesmaximal, characteristic, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34932C211yesmaximal, characteristic, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34328C211yesmaximal, characteristic, complemented
33#34227C212yesmaximal, complemented
34#34151C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#529C2212yes—
40C2×#529C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2862C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2810C2214yes—
50#2798C2214yes—
51#2798C2214yes—
52#2798C2214yes—
53#2797C2214yes—
54#2797C2214yes—
55#2796C2214yes—
56#2787C2214yes—
57#2787C2214yes—
58#2787C2214yes—
59#2779C2214yes—
60#2773C2214yes—
61#2762C2214yes—
62#2759C2214yes—
63#2757C2214yes—
64#2754C2214yes—
65#2754C2214yes—
66#2754C2214yes—
67#2747C2214yes—
68#2741C2214yes—
69#2723C2214yes—
70#2721C2214yes—
71#2696C2214yes—
72#2694C2214yes—
73#2645C2212yes—
74#2628C2212yes—
75#2625C2212yes—
76#2625C2212yes—
77#2625C2212yes—
78#2621C2212yes—
79#2605C2214yes—
80#2602C2214yes—
81#2597C2214yes—
82#2596C2214yes—
83#2595C2214yes—
84#2592C2212yes—
85#2590C2214yes—
86#2589C2214yes—
87#2588C2214yes—
88#2582C2212yes—
89#2581C2212yes—
90#2578C2214yes—
91#2577C2214yes—
92#2577C2214yes—
93#2573C2214yes—
94#2571C2214yes—
95#2571C2211yescharacteristic
96#2570C2214yes—
97#2570C2212yes—
98#2569C2214yes—
99#2568C2212yes—
100#2568C2211yescharacteristic
101#2565C2212yes—
102#2564C2214yes—
103#2563C2212yes—
104#2557C2214yes—
105#2553C2214yes—
106#2553C2214yes—
107#2552C2212yes—
108#2552C2211yescharacteristic
109#2550C2212yes—
110#2547C2211yescharacteristic
111#2547C2212yes—
112#2547C2211yescharacteristic
113#2542C2211yescharacteristic
114#2542C2212yes—
115#2540C2212yes—
116#2538C2211yescharacteristic
117#2537C2211yescharacteristic
118#2536C2212yes—
119#2535C2212yes—
120#2532C2214yes—
121#2532C2214yes—
122#2532C2214yes—
123#2531C2214yes—
124#2531C2214yes—
125#2530C2214yes—
126#2528C2214yes—
127#2528C2214yes—
128#2527C2214yes—
129#2524C2214yes—
130#2524C2214yes—
131#2524C2214yes—
132#2523C2214yes—
133#2523C2214yes—
134#2521C2214yes—
135#2520C2214yes—
136#2520C2214yes—
137#2517C2214yes—
138#2517C2214yes—
139#2516C2214yes—
140#2514C2212yes—
141#2514C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2513C2214yes—
145#2513C2214yes—
146#2511C2212yes—
147#2510C2214yes—
148#2510C2214yes—
149#2510C2214yes—
150#2509C2212yes—
151#2508C2212yes—
152#2504C2212yes—
153#2499C2214yes—
154#2499C2212yes—
155#2498C2214yes—
156#2496C2214yes—
157#2496C2212yes—
158#2495C2212yes—
159#2495C2212yes—
160#2495C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2494C2212yes—
164#2494C2212yes—
165#2492C2212yes—
166#2490C2212yes—
167#2490C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2489C2214yes—
173#2489C2214yes—
174#2489C2212yes—
175#2489C2212yes—
176#2485C2212yes—
177#2453C2212yes—
178#2448C2212yes—
179#2448C2212yes—
180#2447C2212yes—
181#2442C2212yes—
182#2436C2212yes—
183#2427C2212yes—
184#2427C2212yes—
185#2427C2212yes—
186#2423C2212yes—
187#2423C2212yes—
188#2422C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2409C2212yes—
193#2401C2214yes—
194#2395C2214yes—
195#2374C2212yes—
196#2374C2214yes—
197#2374C2212yes—
198#2374C2214yes—
199#2373C2214yes—
200#2373C2212yes—
201#2373C2212yes—
202#2373C2214yes—
203#2371C2214yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2212yes—
207#2370C2211yescharacteristic
208#2369C2212yes—
209#2368C2214yes—
210#2367C2211yescharacteristic
211#2367C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2363C2211yescharacteristic
216#2363C2211yescharacteristic
217#2362C2212yes—
218#2362C2211yescharacteristic
219#2362C2211yescharacteristic
220#2360C2212yes—
221#2357C2214yes—
222#2356C2212yes—
223#2356C2212yes—
224#2355C2211yescharacteristic
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2355C2212yes—
229#2353C2214yes—
230#2352C2212yes—
231#2349C2212yes—
232D4×C4⋊C4C2211yescharacteristic
233#2347C2214yes—
234#2345C2212yes—
235#2343C2214yes—
236Q8×C22⋊C4C2212yes—
237Q8×C22⋊C4C2212yes—
238Q8×C22⋊C4C2212yes—
239#2337C2212yes—
240#2336C2214yes—
241#2335C2212yes—
242#2334C2212yes—
243#2332C2212yes—
244#2331C2212yes—
245#2331C2211yescharacteristic
246#2329C2214yes—
247#2327C2212yes—
248#2326C2211yescharacteristic
249#2324C2211yescharacteristic
250#2324C2212yes—
251#2324C2212yes—
252#2323C2212yes—
253#2323C2211yescharacteristic
254#2323C2212yes—
255#2323C2212yes—
256#2320C2211yescharacteristic
257#2320C2212yes—
258#2319C2211yescharacteristic
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×#124C2212yes—
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280#2298C2212yes—
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284C2×#391C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2285C2212yes—
289#2283C2212yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#557—28no—
301D4×Q8—28no—
302#542—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308#529—28no—
309#529—216no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374C22×C42C2312yes—
375#401C2314yes—
376#401C2314yes—
377#401C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#395C2314yes—
436#395C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#392C2314yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2314yes—
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#390C2314yes—
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2314yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2314yes—
668#384C2312yes—
669#383C2312yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2314yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2314yes—
684#382C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2312yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#381C2314yes—
694#381C2312yes—
695#380C2311yescharacteristic
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8—28no—
816C22×Q8—44no—
817C22×Q8—44no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—28no—
845#126—28no—
846#126—216no—
847#126—28no—
848#125—24no—
849#125—28no—
850#125—28no—
851#125—216no—
852#125—44no—
853#124—24no—
854#124—28no—
855#124—24no—
856#124—28no—
857#124—44no—
858#123—28no—
859#123—28no—
860#123—216no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871#121—28no—
872#121—24no—
873#121—24no—
874#121—44no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8#4118yes—
888C4×D4—216no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—42no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4#4118yes—
899#117—216no—
900#117—28no—
901#117—24no—
902#117—42no—
903#117—44no—
904#117—42no—
905#117—42no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C42—28no—
1019C2×C42—24no—
1020C2×C42—44no—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151C24C2511yescharacteristic
1152C24C2512yes—
1153C24C2512yes—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—28no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8—816no—
1172C2×Q8C2×#4114yes—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4C2×#4114yes—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4C2×#4118yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4C2×#4114yes—
1318C4⋊C4C2×#4114yes—
1319C4⋊C4C2×#4118yes—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—22no—
1328C22⋊C4—24no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—41no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—41no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4C2×#4118yes—
1364C42—24no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—28no—
1371C42—22no—
1372C42—28no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—42no—
1385C42—42no—
1386C42—44no—
1387C42—42no—
1388C42—42no—
1389C42—44no—
1390C42—41no—
1391C42—42no—
1392C42—41no—
1393C42—41no—
1394C42—41no—
1395C42—44no—
1396C42—42no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—44no—
1402C42—44no—
1403C42—42no—
1404C42—42no—
1405C42—42no—
1406C42—44no—
1407C42C2×#4114yes—
1408C42C2×#4114yes—
1409C42C2×#4118yes—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—21no—
1417C23—22no—
1418C23—22no—
1419C23—21no—
1420C23—21no—
1421C23—22no—
1422C23—21no—
1423C23—22no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23C22×#4114yes—
1431C23C2611yescharacteristic
1432Q8—28no—
1433Q8—48no—
1434Q8—44no—
1435Q8—48no—
1436Q8—84no—
1437Q8—88no—
1438D4—28no—
1439D4—44no—
1440D4—84no—
1441D4—84no—
1442D4—88no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—48no—
1528C2×C4—44no—
1529C2×C4—48no—
1530C2×C4—44no—
1531C2×C4—48no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—82no—
1535C2×C4—88no—
1536C2×C4—84no—
1537C2×C4—164no—
1538C2×C4C22×#4112yes—
1539C2×C4C22×#4112yes—
1540C2×C4C22×#4114yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4114yes—
1543C2×C4C22×#4114yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4112yes—
1547C2×C4#58512yes—
1548C2×C4#58512yes—
1549C2×C4#58512yes—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—41no—
1559C22—42no—
1560C22—41no—
1561C22—41no—
1562C22—42no—
1563C22—41no—
1564C22—42no—
1565C22—42no—
1566C22—41no—
1567C22—42no—
1568C22—41no—
1569C22—41no—
1570C22—42no—
1571C22C23×#4111yescharacteristic
1572C22C23×#4111yescharacteristic
1573C22C2×#58511yescharacteristic
1574C22C2×#58511yescharacteristic
1575C22C2×#58511yescharacteristic
1576C222−1+611yescharacteristic
1577C222−1+611yescharacteristic
1578C4—22no—
1579C4—24no—
1580C4—22no—
1581C4—24no—
1582C4—22no—
1583C4—24no—
1584C4—42no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—44no—
1590C4—41no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—41no—
1595C4—41no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—41no—
1600C4—42no—
1601C4—41no—
1602C4—44no—
1603C4—42no—
1604C4—41no—
1605C4—41no—
1606C4—44no—
1607C4—42no—
1608C4#348014yes—
1609C4#351014yes—
1610C2—44no—
1611C2—82no—
1612C2—81no—
1613C2C2×#348011yescharacteristic
1614C2C2×#351011yescharacteristic
1615C2#6286111yescharacteristic
1616C2#6293911yescharacteristic
1617C2#6296811yescharacteristic
1618C2#6299111yescharacteristic
1619C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39124C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59874C2semidirect
2. #59752C2semidirect
3. #59718C2semidirect
4. #59645C2semidirect
5. #59627C2semidirect
6. #59489C2semidirect
7. #59271C2semidirect
8. #59242C2semidirect
9. #43719C2semidirect
10. #43711C2semidirect
11. #43611C2semidirect
12. #43603C2semidirect
13. #39296C2semidirect
14. #39286C2semidirect
15. #39203C2semidirect
16. #39200C2semidirect
17. #39193C2semidirect
18. #39187C2semidirect
19. #39139C2semidirect
21. #36535C2semidirect
22. #36450C2semidirect
23. #36449C2semidirect
24. #36446C2semidirect
25. #35655C2semidirect
26. #35636C2semidirect
27. #35314C2semidirect
28. #35291C2semidirect
29. #34945C2semidirect
30. #34932C2semidirect
31. #34334C2semidirect
32. #34328C2semidirect
33. #34227C2semidirect
34. #34151C2semidirect
35. C4×#542C2semidirect

Maximal subgroups

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

subgroupindex
#598742
#597522
#597182
#596452
#596272
#594892
#592712
#592422
#437192
#437112
#436112
#436032
#392962
#392862
#392032
#392002
#391932
#391872
#391392
#391242
#365352
#364502
#364492
#364462
#356552
#356362
#353142
#352912
#349452
#349322
#343342
#343282
#342272
#341512
C4×#5422