Finite Group Databasebeta

← #7806383

Subgroups — #7806383

Order 512.

4385 conjugacy classes of subgroups.

The subgroup lattice has 1605 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59894C212yesmaximal, complemented
2#59871C211yesmaximal, characteristic, complemented
3#59769C212yesmaximal, complemented
4#59719C212yesmaximal, complemented
5#59718C212yesmaximal, complemented
6#59433C212yesmaximal, complemented
7#59426C211yesmaximal, characteristic, complemented
8#59426C211yesmaximal, characteristic, complemented
9#59418C211yesmaximal, characteristic, complemented
10#59395C212yesmaximal, complemented
11#59276C212yesmaximal, complemented
12#59256C212yesmaximal, complemented
13#59243C211yesmaximal, characteristic, complemented
14#59227C211yesmaximal, characteristic, complemented
15#59067C211yesmaximal, characteristic, complemented
16#59034C211yesmaximal, characteristic
17#47331C214yesmaximal, complemented
18#46709C214yesmaximal, complemented
19#42901C212yesmaximal, complemented
20#42900C212yesmaximal, complemented
21#42768C212yesmaximal, complemented
22#42745C212yesmaximal, complemented
23#42384C214yesmaximal, complemented
24#37637C211yesmaximal, characteristic, complemented
25#36071C214yesmaximal, complemented
26#36050C212yesmaximal, complemented
27#36039C212yesmaximal, complemented
28#35898C212yesmaximal, complemented
29#35804C212yesmaximal, complemented
30#34974C211yesmaximal, characteristic, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34316C211yesmaximal, characteristic, complemented
35#34225C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2838C2214yes—
40#2831C2214yes—
41#2829C2214yes—
42#2810C2214yes—
43#2808C2214yes—
44#2806C2214yes—
45#2803C2214yes—
46#2796C2214yes—
47#2789C2214yes—
48#2787C2214yes—
49#2786C2214yes—
50#2786C2214yes—
51#2783C2214yes—
52#2781C2214yes—
53#2775C2214yes—
54#2770C2214yes—
55#2770C2214yes—
56#2765C2214yes—
57#2759C2214yes—
58#2759C2214yes—
59#2757C2214yes—
60#2737C2214yes—
61#2720C2214yes—
62#2718C2214yes—
63#2707C2214yes—
64#2705C2214yes—
65#2696C2214yes—
66#2666C2214yes—
67#2654C2214yes—
68#2653C2214yes—
69#2651C2214yes—
70#2651C2214yes—
71#2647C2212yes—
72#2644C2212yes—
73#2644C2214yes—
74#2637C2214yes—
75#2629C2212yes—
76#2625C2212yes—
77#2610C2214yes—
78#2606C2214yes—
79#2601C2214yes—
80#2596C2214yes—
81#2596C2214yes—
82#2594C2214yes—
83#2594C2214yes—
84#2593C2214yes—
85#2592C2212yes—
86#2592C2212yes—
87#2590C2214yes—
88#2587C2214yes—
89#2584C2212yes—
90#2584C2212yes—
91#2582C2212yes—
92#2582C2212yes—
93#2577C2214yes—
94#2574C2214yes—
95#2574C2214yes—
96#2571C2212yes—
97#2570C2214yes—
98#2570C2214yes—
99#2567C2211yescharacteristic
100#2567C2211yescharacteristic
101#2567C2212yes—
102#2563C2211yescharacteristic
103#2563C2211yescharacteristic
104#2562C2212yes—
105#2560C2214yes—
106#2558C2214yes—
107#2552C2211yescharacteristic
108#2552C2212yes—
109#2552C2212yes—
110#2552C2211yescharacteristic
111#2538C2211yescharacteristic
112#2538C2211yescharacteristic
113#2536C2212yes—
114#2532C2214yes—
115#2532C2214yes—
116#2532C2212yes—
117#2531C2214yes—
118#2530C2212yes—
119#2529C2214yes—
120#2529C2212yes—
121#2529C2214yes—
122#2528C2214yes—
123#2528C2214yes—
124#2527C2212yes—
125#2524C2214yes—
126#2523C2214yes—
127#2522C2214yes—
128#2521C2214yes—
129#2518C2214yes—
130#2518C2214yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2214yes—
134#2513C2212yes—
135#2513C2214yes—
136#2513C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2214yes—
140#2512C2212yes—
141#2512C2211yescharacteristic
142#2512C2214yes—
143#2511C2211yescharacteristic
144#2509C2211yescharacteristic
145#2508C2212yes—
146#2508C2211yescharacteristic
147#2508C2212yes—
148#2507C2214yes—
149#2500C2212yes—
150#2499C2214yes—
151#2499C2212yes—
152#2497C2212yes—
153#2497C2214yes—
154#2496C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2496C2214yes—
158#2495C2211yescharacteristic
159#2494C2212yes—
160#2494C2212yes—
161#2494C2211yescharacteristic
162#2494C2214yes—
163#2494C2212yes—
164#2494C2212yes—
165#2492C2211yescharacteristic
166#2491C2211yescharacteristic
167#2490C2212yes—
168#2490C2212yes—
169#2490C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2479C2212yes—
173#2477C2212yes—
174#2474C2212yes—
175#2470C2212yes—
176#2469C2214yes—
177#2469C2214yes—
178#2462C2214yes—
179#2458C2214yes—
180#2454C2212yes—
181#2453C2212yes—
182#2452C2211yescharacteristic
183#2451C2211yescharacteristic
184#2448C2211yescharacteristic
185#2447C2211yescharacteristic
186#2446C2212yes—
187#2442C2212yes—
188#2442C2212yes—
189#2441C2212yes—
190#2439C2212yes—
191#2439C2212yes—
192#2432C2212yes—
193#2429C2212yes—
194#2429C2212yes—
195#2427C2211yescharacteristic
196#2426C2212yes—
197#2426C2211yescharacteristic
198#2423C2211yescharacteristic
199#2423C2212yes—
200#2423C2212yes—
201#2422C2211yescharacteristic
202#2421C2212yes—
203#2421C2212yes—
204#2415C2212yes—
205#2415C2212yes—
206#2414C2212yes—
207#2407C2212yes—
208#2402C2214yes—
209#2401C2212yes—
210#2401C2214yes—
211#2398C2212yes—
212#2396C2214yes—
213#2396C2212yes—
214#2395C2212yes—
215#2374C2214yes—
216#2373C2214yes—
217#2373C2214yes—
218#2373C2214yes—
219#2371C2214yes—
220#2370C2212yes—
221#2370C2212yes—
222#2370C2212yes—
223#2370C2212yes—
224#2369C2212yes—
225#2365C2212yes—
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2363C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2362C2212yes—
232#2362C2212yes—
233#2360C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2355C2212yes—
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2352C2212yes—
245#2351C2212yes—
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2212yes—
248#2347C2212yes—
249#2347C2212yes—
250#2347C2212yes—
251#2346C2212yes—
252#2346C2212yes—
253#2346C2212yes—
254#2346C2214yes—
255#2345C2212yes—
256#2341C2212yes—
257#2341C2212yes—
258#2341C2212yes—
259#2336C2214yes—
260#2335C2214yes—
261#2327C2212yes—
262#2324C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2320C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×#125C2212yes—
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×#123C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2297C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2276C2212yes—
294#2276C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#557—28no—
301#547—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2311yescharacteristic
365C22×C42C2312yes—
366#401C2314yes—
367#401C2314yes—
368#401C2314yes—
369#401C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#399C2314yes—
389#399C2312yes—
390#399C2314yes—
391#399C2312yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2312yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2312yes—
466#393C2314yes—
467#393C2312yes—
468#393C2312yes—
469#392C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2314yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2314yes—
687#384C2314yes—
688#383C2312yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#381C2312yes—
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C4⋊Q8—28no—
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—42no—
839C4⋊Q8#4118yes—
840#126—48no—
841#126—48no—
842#126—44no—
843#126—48no—
844#125—28no—
845#125—216no—
846#125—28no—
847#125—44no—
848#125—44no—
849#124—44no—
850#124—42no—
851#124—42no—
852#123—216no—
853#123—44no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—24no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—42no—
861C22⋊Q8—44no—
862#121—28no—
863#121—42no—
864#121—42no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—42no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—44no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4—44no—
887#117—28no—
888#117—28no—
889#117—44no—
890#117—48no—
891#117—42no—
892#117—42no—
893#117—44no—
894#117—44no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C42—24no—
1018C2×C42—44no—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2511yescharacteristic
1143C24C2512yes—
1144C24C2512yes—
1145#41—816no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8C2×#4118yes—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—28no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—28no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2514yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C4⋊C4—22no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—28no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4C2×#4118yes—
1307C4⋊C4C2×#4118yes—
1308C4⋊C42−1+414yes—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—41no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—41no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—28no—
1360C42—28no—
1361C42—24no—
1362C42—24no—
1363C42—28no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—24no—
1373C42—28no—
1374C42—24no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—42no—
1381C42—42no—
1382C42—41no—
1383C42—41no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42—44no—
1396C42C2×#4114yes—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23C2611yescharacteristic
1419Q8—216no—
1420Q8—48no—
1421Q8—44no—
1422Q8—44no—
1423Q8—84no—
1424Q8—84no—
1425D4—44no—
1426D4—44no—
1427D4—88no—
1428D4—84no—
1429D4—84no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—48no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—48no—
1519C2×C4—44no—
1520C2×C4—48no—
1521C2×C4—88no—
1522C2×C4—84no—
1523C2×C4C22×#4118yes—
1524C2×C4C22×#4112yes—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4112yes—
1527C2×C4C2×2−1+414yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4#58512yes—
1530C2×C4#58512yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C2×C4#58512yes—
1534C22—42no—
1535C22—42no—
1536C22—41no—
1537C22—42no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—41no—
1545C22—42no—
1546C22—42no—
1547C22—41no—
1548C22—42no—
1549C22—41no—
1550C22—42no—
1551C22—42no—
1552C22—41no—
1553C22—42no—
1554C22—42no—
1555C22C23×#4111yescharacteristic
1556C22C22×2−1+411yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22C2×#58511yescharacteristic
1561C22C2×#58511yescharacteristic
1562C4—22no—
1563C4—24no—
1564C4—22no—
1565C4—28no—
1566C4—22no—
1567C4—42no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—42no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—41no—
1581C4—44no—
1582C4—41no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—41no—
1591C4—44no—
1592C4#351814yes—
1593C4#352114yes—
1594C2—82no—
1595C2—81no—
1596C2—82no—
1597C2C2×#352111yescharacteristic
1598C2C2×#351811yescharacteristic
1599C2#6279311yescharacteristic
1600C2#6302311yescharacteristic
1601C2#6303111yescharacteristic
1602C2#6303111yescharacteristic
1603C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59034C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59894C2semidirect
2. #59871C2semidirect
3. #59769C2semidirect
4. #59719C2semidirect
5. #59718C2semidirect
6. #59433C2semidirect
7. #59426C2semidirect
8. #59426C2semidirect
9. #59418C2semidirect
10. #59395C2semidirect
11. #59276C2semidirect
12. #59256C2semidirect
13. #59243C2semidirect
14. #59227C2semidirect
15. #59067C2semidirect
17. #47331C2semidirect
18. #46709C2semidirect
19. #42901C2semidirect
20. #42900C2semidirect
21. #42768C2semidirect
22. #42745C2semidirect
23. #42384C2semidirect
24. #37637C2semidirect
25. #36071C2semidirect
26. #36050C2semidirect
27. #36039C2semidirect
28. #35898C2semidirect
29. #35804C2semidirect
30. #34974C2semidirect
31. #34969C2semidirect
32. #34941C2semidirect
33. #34328C2semidirect
34. #34316C2semidirect
35. #34225C2semidirect

Maximal subgroups

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

subgroupindex
#598942
#598712
#597692
#597192
#597182
#594332
#594262
#594182
#593952
#592762
#592562
#592432
#592272
#590672
#590342
#473312
#467092
#429012
#429002
#427682
#427452
#423842
#376372
#360712
#360502
#360392
#358982
#358042
#349742
#349692
#349412
#343282
#343162
#342252