Finite Group Databasebeta

← #7806351

Subgroups — #7806351

Order 512.

4283 conjugacy classes of subgroups.

The subgroup lattice has 1565 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59869C211yesmaximal, characteristic, complemented
3#59717C212yesmaximal
4#59695C212yesmaximal, complemented
5#59665C211yesmaximal, characteristic, complemented
6#59655C211yesmaximal, characteristic, complemented
7#59639C212yesmaximal, complemented
8#59587C212yesmaximal, complemented
9#59564C212yesmaximal, complemented
10#59508C212yesmaximal, complemented
11#59502C212yesmaximal, complemented
12#59451C211yesmaximal, characteristic, complemented
13#59256C211yesmaximal, characteristic, complemented
14#59243C211yesmaximal, characteristic
15#59081C211yesmaximal, characteristic, complemented
16#59052C211yesmaximal, characteristic
17#47364C214yesmaximal, complemented
18#46652C214yesmaximal, complemented
19#42779C212yesmaximal, complemented
20#42755C212yesmaximal, complemented
21#42748C212yesmaximal, complemented
22#42708C212yesmaximal, complemented
23#42277C214yesmaximal, complemented
24#37628C211yesmaximal, characteristic, complemented
25#36058C212yesmaximal
26#36006C212yesmaximal, complemented
27#35972C212yesmaximal, complemented
28#35899C214yesmaximal, complemented
29#35789C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34974C211yesmaximal, characteristic
32#34951C211yesmaximal, characteristic, complemented
33#34335C211yesmaximal, characteristic, complemented
34#34317C211yesmaximal, characteristic, complemented
35#34225C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2836C2214yes—
40#2836C2214yes—
41#2831C2214yes—
42#2809C2214yes—
43#2800C2214yes—
44#2799C2214yes—
45#2798C2214yes—
46#2798C2214yes—
47#2791C2214yes—
48#2786C2214yes—
49#2783C2214yes—
50#2777C2214yes—
51#2773C2214yes—
52#2773C2214yes—
53#2773C2214yes—
54#2770C2214yes—
55#2766C2214yes—
56#2766C2214yes—
57#2762C2214yes—
58#2759C2214yes—
59#2755C2214yes—
60#2744C2214yes—
61#2732C2214yes—
62#2729C2214yes—
63#2729C2214yes—
64#2725C2214yes—
65#2698C2214yes—
66#2666C2214yes—
67#2654C2214yes—
68#2654C2214yes—
69#2652C2214yes—
70#2651C2214yes—
71#2650C2214yes—
72#2647C2212yes—
73#2645C2214yes—
74#2644C2212yes—
75#2625C2212yes—
76#2621C2212yes—
77#2612C2214yes—
78#2611C2214yes—
79#2606C2214yes—
80#2596C2214yes—
81#2596C2214yes—
82#2596C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2594C2214yes—
86#2592C2214yes—
87#2590C2214yes—
88#2590C2214yes—
89#2588C2214yes—
90#2585C2214yes—
91#2585C2214yes—
92#2584C2212yes—
93#2582C2211yescharacteristic
94#2575C2214yes—
95#2571C2212yes—
96#2571C2211yescharacteristic
97#2570C2212yes—
98#2570C2212yes—
99#2568C2212yes—
100#2568C2211yescharacteristic
101#2568C2212yes—
102#2560C2214yes—
103#2552C2211yescharacteristic
104#2552C2212yes—
105#2550C2212yes—
106#2550C2212yes—
107#2550C2212yes—
108#2546C2212yes—
109#2546C2211yescharacteristic
110#2546C2211yescharacteristic
111#2542C2211yescharacteristic
112#2542C2212yes—
113#2538C2211yescharacteristic
114#2533C2212yes—
115#2532C2212yes—
116#2530C2214yes—
117#2529C2214yes—
118#2529C2214yes—
119#2529C2214yes—
120#2529C2212yes—
121#2528C2214yes—
122#2528C2212yes—
123#2528C2214yes—
124#2528C2214yes—
125#2526C2214yes—
126#2525C2214yes—
127#2524C2214yes—
128#2523C2214yes—
129#2520C2214yes—
130#2519C2214yes—
131#2517C2214yes—
132#2514C2212yes—
133#2514C2211yescharacteristic
134#2513C2212yes—
135#2513C2212yes—
136#2513C2214yes—
137#2513C2212yes—
138#2512C2211yescharacteristic
139#2511C2214yes—
140#2511C2212yes—
141#2509C2212yes—
142#2509C2212yes—
143#2509C2212yes—
144#2508C2212yes—
145#2508C2214yes—
146#2508C2214yes—
147#2508C2211yescharacteristic
148#2508C2212yes—
149#2508C2212yes—
150#2507C2214yes—
151#2507C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2211yescharacteristic
155#2499C2212yes—
156#2499C2212yes—
157#2499C2212yes—
158#2496C2211yescharacteristic
159#2495C2211yescharacteristic
160#2494C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2491C2211yescharacteristic
166#2490C2212yes—
167#2489C2214yes—
168#2489C2212yes—
169#2489C2211yescharacteristic
170#2479C2212yes—
171#2478C2212yes—
172#2475C2212yes—
173#2474C2212yes—
174#2474C2214yes—
175#2462C2214yes—
176#2454C2212yes—
177#2453C2212yes—
178#2453C2214yes—
179#2453C2211yescharacteristic
180#2453C2212yes—
181#2453C2212yes—
182#2452C2212yes—
183#2451C2212yes—
184#2451C2211yescharacteristic
185#2448C2212yes—
186#2448C2211yescharacteristic
187#2446C2214yes—
188#2446C2212yes—
189#2446C2211yescharacteristic
190#2441C2212yes—
191#2440C2212yes—
192#2439C2212yes—
193#2429C2212yes—
194#2429C2214yes—
195#2429C2212yes—
196#2429C2212yes—
197#2429C2211yescharacteristic
198#2429C2212yes—
199#2426C2211yescharacteristic
200#2423C2214yes—
201#2423C2212yes—
202#2423C2211yescharacteristic
203#2421C2212yes—
204#2421C2212yes—
205#2421C2211yescharacteristic
206#2417C2212yes—
207#2415C2212yes—
208#2402C2212yes—
209#2402C2214yes—
210#2402C2214yes—
211#2401C2214yes—
212#2401C2212yes—
213#2396C2212yes—
214#2395C2212yes—
215#2370C2212yes—
216#2370C2212yes—
217#2370C2212yes—
218#2370C2214yes—
219#2370C2212yes—
220#2370C2212yes—
221#2369C2211yescharacteristic
222#2369C2211yescharacteristic
223#2369C2212yes—
224#2369C2212yes—
225#2367C2212yes—
226#2365C2214yes—
227#2365C2212yes—
228#2365C2212yes—
229#2363C2212yes—
230#2362C2214yes—
231#2362C2212yes—
232#2362C2212yes—
233#2362C2214yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2357C2212yes—
240#2356C2212yes—
241#2356C2212yes—
242#2355C2211yescharacteristic
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2355C2214yes—
247#2355C2212yes—
248#2355C2212yes—
249#2354C2211yescharacteristic
250#2354C2212yes—
251#2351C2212yes—
252#2351C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254#2347C2212yes—
255#2346C2214yes—
256#2346C2212yes—
257#2346C2212yes—
258#2344C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2331C2214yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2320C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2212yes—
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2212yes—
278C4×#126C2212yes—
279C4×#126C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2295C2212yes—
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2276C2212yes—
294#2276C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299Q82—28no—
300#554—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2312yes—
399#399C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#396C2312yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#395C2314yes—
458#395C2314yes—
459#395C2312yes—
460#395C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2314yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#386C2314yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2314yes—
691#383C2312yes—
692#383C2312yes—
693#383C2314yes—
694#383C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2314yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#381C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2314yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2311yescharacteristic
803#376C2314yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2311yescharacteristic
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2414yes—
826C23×C4C2411yescharacteristic
827C4⋊Q8—216no—
828C4⋊Q8—28no—
829C4⋊Q8—28no—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—42no—
835C4⋊Q8#4118yes—
836#126—44no—
837#126—44no—
838#125—28no—
839#125—28no—
840#125—28no—
841#125—44no—
842#125—42no—
843#125—48no—
844#124—24no—
845#124—44no—
846C22⋊Q8—28no—
847C22⋊Q8—216no—
848C22⋊Q8—24no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—42no—
854C22⋊Q8—42no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857#121—24no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—48no—
872C4×Q8—42no—
873C4×Q8—42no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—44no—
879#117—28no—
880#117—44no—
881#117—48no—
882#117—42no—
883#117—42no—
884#117—44no—
885#117—44no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C42—24no—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137C24C2511yescharacteristic
1138C24C2512yes—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—28no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—42no—
1158C2×Q8C2×#4118yes—
1159C2×Q82−1+414yes—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—24no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—28no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C4⋊C4—22no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—44no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4C2×#4118yes—
1295C4⋊C4C2×#4118yes—
1296C4⋊C42−1+414yes—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—24no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—28no—
1333C42—24no—
1334C42—28no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—28no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—22no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—22no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—41no—
1357C42—41no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—42no—
1369C42—44no—
1370C42—42no—
1371C42—42no—
1372C42C2×#4114yes—
1373C23—21no—
1374C23—22no—
1375C23—21no—
1376C23—22no—
1377C23—22no—
1378C23—21no—
1379C23—21no—
1380C23—22no—
1381C23—22no—
1382C23—21no—
1383C23—21no—
1384C23—22no—
1385C23—22no—
1386C23—21no—
1387C23C2611yescharacteristic
1388Q8—28no—
1389Q8—48no—
1390Q8—44no—
1391Q8—44no—
1392Q8—48no—
1393Q8—84no—
1394Q8—88no—
1395D4—44no—
1396D4—84no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—48no—
1488C2×C4—88no—
1489C2×C4C22×#4118yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4112yes—
1492C2×C4C22×#4112yes—
1493C2×C4C2×2−1+414yes—
1494C2×C4C2×2−1+414yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4#58512yes—
1498C2×C4#58512yes—
1499C2×C4#58512yes—
1500C2×C4#58512yes—
1501C22—41no—
1502C22—42no—
1503C22—41no—
1504C22—42no—
1505C22—42no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—41no—
1510C22—42no—
1511C22—41no—
1512C22—42no—
1513C22—41no—
1514C22—42no—
1515C22C23×#4111yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C22×2−1+411yescharacteristic
1518C22C2×#58511yescharacteristic
1519C22C2×#58511yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22C2×#58511yescharacteristic
1522C4—24no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—28no—
1527C4—24no—
1528C4—41no—
1529C4—42no—
1530C4—42no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—42no—
1535C4—44no—
1536C4—42no—
1537C4—44no—
1538C4—42no—
1539C4—41no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—41no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—41no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—44no—
1553C4#352314yes—
1554C4#352414yes—
1555C2—81no—
1556C2—82no—
1557C2#6278111yescharacteristic
1558C2C2×#352311yescharacteristic
1559C2C2×#352411yescharacteristic
1560C2#6302511yescharacteristic
1561C2#6303311yescharacteristic
1562C2#6303311yescharacteristic
1563C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59869C2semidirect
4. #59695C2semidirect
5. #59665C2semidirect
6. #59655C2semidirect
7. #59639C2semidirect
8. #59587C2semidirect
9. #59564C2semidirect
10. #59508C2semidirect
11. #59502C2semidirect
12. #59451C2semidirect
13. #59256C2semidirect
15. #59081C2semidirect
17. #47364C2semidirect
18. #46652C2semidirect
19. #42779C2semidirect
20. #42755C2semidirect
21. #42748C2semidirect
22. #42708C2semidirect
23. #42277C2semidirect
24. #37628C2semidirect
26. #36006C2semidirect
27. #35972C2semidirect
28. #35899C2semidirect
29. #35789C2semidirect
30. #34975C2semidirect
32. #34951C2semidirect
33. #34335C2semidirect
34. #34317C2semidirect
35. #34225C2semidirect

Maximal subgroups

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

subgroupindex
#598932
#598692
#597172
#596952
#596652
#596552
#596392
#595872
#595642
#595082
#595022
#594512
#592562
#592432
#590812
#590522
#473642
#466522
#427792
#427552
#427482
#427082
#422772
#376282
#360582
#360062
#359722
#358992
#357892
#349752
#349742
#349512
#343352
#343172
#342252