Finite Group Databasebeta

← #7801163

Subgroups — #7801163

Order 512.

5366 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59275C212yesmaximal, complemented
2#59273C212yesmaximal, complemented
3#49898C214yesmaximal, complemented
4#49379C214yesmaximal, complemented
5#48214C214yesmaximal, complemented
6#48206C214yesmaximal, complemented
7#45337C211yesmaximal, characteristic, complemented
8#45211C211yesmaximal, characteristic, complemented
9#45083C211yesmaximal, characteristic, complemented
10#44938C211yesmaximal, characteristic, complemented
11#44162C214yesmaximal, complemented
12#43834C214yesmaximal, complemented
13#43104C214yesmaximal, complemented
14#43007C214yesmaximal, complemented
15#40072C212yesmaximal, complemented
16#39497C212yesmaximal, complemented
17#39489C211yesmaximal, characteristic, complemented
18#39416C212yesmaximal, complemented
19#39404C212yesmaximal, complemented
20#39372C211yesmaximal, characteristic, complemented
21#37327C212yesmaximal, complemented
22#36601C211yesmaximal, characteristic, complemented
23Q8×#127C211yesmaximal, characteristic, complemented
24#36022C211yesmaximal, characteristic, complemented
25#35739C211yesmaximal, characteristic, complemented
26#35702C211yesmaximal, characteristic, complemented
27#35701C211yesmaximal, characteristic, complemented
28#35294C211yesmaximal, characteristic, complemented
29#34881C211yesmaximal, characteristic, complemented
30#34431C212yesmaximal, complemented
31#34275C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#554C2211yescharacteristic, complemented
34C2×#551C2214yes—
35C2×D4×Q8C2211yescharacteristic
36C2×D4×Q8C2214yescomplemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#540C2212yes—
39C2×#539C2214yescomplemented
40C2×#535C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#518C2211yescharacteristic
43#2868C2211yescharacteristic, complemented
44#2868C2212yescomplemented
45#2861C2212yes—
46#2859C2212yescomplemented
47#2859C2211yescharacteristic, complemented
48#2795C2214yescomplemented
49#2793C2214yescomplemented
50#2790C2214yes—
51#2790C2214yescomplemented
52#2790C2214yescomplemented
53#2743C2214yes—
54#2743C2214yescomplemented
55#2738C2214yescomplemented
56#2738C2214yescomplemented
57#2731C2214yescomplemented
58#2730C2214yescomplemented
59#2729C2214yes—
60#2729C2214yescomplemented
61#2729C2214yescomplemented
62#2728C2214yescomplemented
63#2724C2214yescomplemented
64#2723C2214yes—
65#2723C2214yescomplemented
66#2723C2214yescomplemented
67#2718C2214yescomplemented
68#2716C2214yescomplemented
69#2706C2214yes—
70#2706C2214yescomplemented
71#2702C2214yescomplemented
72#2701C2214yes—
73#2699C2214yes—
74#2697C2214yes—
75#2696C2214yes—
76#2694C2214yescomplemented
77#2694C2214yescomplemented
78#2690C2214yescomplemented
79#2690C2214yescomplemented
80#2690C2214yescomplemented
81#2682C2214yescomplemented
82#2681C2214yescomplemented
83#2678C2214yes—
84#2676C2214yescomplemented
85#2674C2214yescomplemented
86#2674C2214yescomplemented
87#2674C2214yescomplemented
88#2649C2214yescomplemented
89#2635C2212yes—
90#2633C2212yes—
91#2633C2214yescomplemented
92#2629C2212yes—
93#2629C2212yescomplemented
94#2628C2211yescharacteristic
95#2628C2211yescharacteristic
96#2627C2212yescomplemented
97#2626C2212yes—
98#2620C2212yes—
99#2611C2214yescomplemented
100#2611C2212yescomplemented
101#2598C2212yescomplemented
102#2596C2214yescomplemented
103#2593C2212yescomplemented
104#2585C2212yescomplemented
105#2581C2211yescharacteristic, complemented
106#2580C2211yescharacteristic
107#2575C2214yescomplemented
108#2573C2212yes—
109#2573C2214yescomplemented
110#2571C2212yescomplemented
111#2570C2214yescomplemented
112#2567C2211yescharacteristic, complemented
113#2566C2214yes—
114#2564C2212yes—
115#2564C2212yes—
116#2563C2211yescharacteristic
117#2554C2212yes—
118#2553C2214yescomplemented
119#2552C2212yescomplemented
120#2550C2214yescomplemented
121#2550C2214yescomplemented
122#2543C2214yes—
123#2542C2211yescharacteristic
124#2542C2212yes—
125#2542C2214yescomplemented
126#2542C2214yescomplemented
127#2542C2211yescharacteristic, complemented
128#2542C2212yescomplemented
129#2542C2214yescomplemented
130#2539C2212yes—
131#2535C2211yescharacteristic
132#2535C2211yescharacteristic, complemented
133#2534C2214yes—
134#2525C2212yescomplemented
135#2517C2214yescomplemented
136#2516C2212yes—
137#2516C2214yescomplemented
138#2512C2212yes—
139#2512C2212yes—
140#2511C2212yescomplemented
141#2511C2212yescomplemented
142#2507C2214yescomplemented
143#2501C2212yes—
144#2499C2212yescomplemented
145#2492C2212yescomplemented
146#2491C2212yes—
147#2488C2214yescomplemented
148#2488C2214yescomplemented
149#2488C2214yescomplemented
150#2482C2212yes—
151#2482C2214yes—
152#2479C2214yes—
153#2477C2214yes—
154#2477C2214yescomplemented
155#2472C2214yes—
156#2471C2214yes—
157#2469C2212yescomplemented
158#2469C2214yescomplemented
159#2463C2214yes—
160#2463C2214yescomplemented
161#2461C2214yes—
162#2461C2214yes—
163#2458C2212yes—
164#2455C2214yescomplemented
165#2452C2214yes—
166#2452C2212yes—
167#2451C2212yescomplemented
168#2450C2214yes—
169#2449C2214yes—
170#2449C2214yescomplemented
171#2449C2214yescomplemented
172#2447C2212yes—
173#2445C2212yes—
174#2441C2214yes—
175#2441C2214yescomplemented
176#2440C2212yes—
177#2440C2212yescomplemented
178#2439C2212yes—
179#2439C2214yes—
180#2439C2212yescomplemented
181#2438C2214yescomplemented
182#2438C2214yescomplemented
183#2437C2214yes—
184#2437C2214yes—
185#2436C2214yescomplemented
186#2428C2212yes—
187#2427C2212yes—
188#2425C2214yes—
189#2425C2214yescomplemented
190#2425C2214yescomplemented
191#2424C2214yes—
192#2423C2212yescomplemented
193#2422C2212yes—
194#2422C2212yes—
195#2422C2214yescomplemented
196#2422C2212yescomplemented
197#2418C2214yes—
198#2409C2212yes—
199#2409C2212yes—
200#2409C2214yescomplemented
201#2408C2212yes—
202#2407C2212yes—
203#2402C2211yescharacteristic, complemented
204#2398C2211yescharacteristic, complemented
205#2397C2212yes—
206#2396C2211yescharacteristic
207#2395C2212yes—
208#2392C2211yescharacteristic
209C2×#395C2212yescomplemented
210C2×#393C2212yes—
211#2377C2214yescomplemented
212#2376C2214yescomplemented
213#2373C2214yescomplemented
214#2368C2214yescomplemented
215#2363C2214yes—
216#2363C2212yes—
217#2363C2212yescomplemented
218#2361C2212yes—
219#2361C2214yes—
220#2361C2212yescomplemented
221#2361C2214yescomplemented
222#2359C2214yescomplemented
223#2358C2214yes—
224#2358C2214yes—
225#2357C2211yescharacteristic
226#2357C2212yescomplemented
227#2356C2211yescharacteristic, complemented
228#2354C2212yes—
229#2354C2212yes—
230#2349C2211yescharacteristic
231#2349C2212yes—
232#2349C2211yescharacteristic, complemented
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2212yescomplemented
235#2339C2212yes—
236D4×C22⋊C4C2212yes—
237#2335C2214yescomplemented
238#2331C2211yescharacteristic, complemented
239#2331C2211yescharacteristic, complemented
240#2330C2212yescomplemented
241#2329C2214yescomplemented
242#2328C2211yescharacteristic
243#2328C2211yescharacteristic
244#2326C2211yescharacteristic
245#2326C2211yescharacteristic
246#2325C2214yescomplemented
247#2324C2214yescomplemented
248#2322C2214yescomplemented
249#2317C2211yescharacteristic
250#2317C2212yescomplemented
251C4×#127C2212yes—
252C4×#127C2211yescharacteristic
253C4×#127C2211yescharacteristic
254C4×#125C2212yescomplemented
255C4×#126C2212yescomplemented
256C4×#124C2211yescharacteristic
257C4×#124C2211yescharacteristic
258C4×#123C2212yes—
259#2298C2212yescomplemented
260#2297C2211yescharacteristic
261#2293C2212yes—
262#2293C2211yescharacteristic, complemented
263C2×#390C2211yescharacteristic
264#2285C2212yes—
265C42×Q8C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C23×Q8C2312yes—
269C23×Q8C2312yes—
270C23×D4C2311yescharacteristic
271#555—44no—
272#554—44no—
273#551—416no—
274D4×Q8—44no—
275D4×Q8—44no—
276D4×Q8—416no—
277#540—216no—
278#539—416no—
279#535—28no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2314yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2314yes—
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#126C2312yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#125C2312yes—
293C2×#125C2314yes—
294C2×#125C2314yes—
295C2×#125C2312yes—
296C2×#124C2311yescharacteristic
297C2×#124C2311yescharacteristic
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2312yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334#520—44no—
335#518—44no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2314yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C42C2311yescharacteristic
382#400C2311yescharacteristic
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#399C2311yescharacteristic
397#399C2312yes—
398#399C2314yes—
399#399C2312yes—
400#399C2312yes—
401#399C2312yes—
402#399C2312yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2311yescharacteristic
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#397C2311yescharacteristic
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#395C2312yes—
453#395C2312yes—
454#395C2312yes—
455#395C2312yes—
456#395C2312yes—
457#395C2311yescharacteristic
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2311yescharacteristic
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2312yes—
477#393C2312yes—
478#393C2312yes—
479#393C2312yes—
480#393C2312yes—
481#393C2311yescharacteristic
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2312yes—
489#392C2314yes—
490#392C2312yes—
491#392C2311yescharacteristic
492#392C2314yes—
493#392C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2314yes—
666#384C2312yes—
667#384C2314yes—
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2314yes—
673#383C2312yes—
674#383C2312yes—
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2314yes—
678#382C2314yes—
679#382C2314yes—
680#382C2311yescharacteristic
681#382C2311yescharacteristic
682#382C2311yescharacteristic
683#381C2312yes—
684#381C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#379C2314yes—
701#379C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735#376C2311yescharacteristic
736#376C2311yescharacteristic
737#376C2312yes—
738C2×#95C2312yes—
739C2×#95C2312yes—
740C2×#95C2314yes—
741C2×#95C2314yes—
742C43C2311yescharacteristic
743C43C2312yes—
744C43C2311yescharacteristic
745C25C2412yes—
746C2×#41—24no—
747C2×#41—24no—
748C2×#41—42no—
749C22×Q8—44no—
750C22×Q8—48no—
751C22×Q8—44no—
752C22×Q8—48no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2411yescharacteristic
755C22×Q8C2414yes—
756C22×Q8C2412yes—
757C22×Q8C2414yes—
758C22×Q8C2412yes—
759C22×D4—24no—
760C22×D4—24no—
761C22×D4—42no—
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2411yescharacteristic
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C4⋊Q8—24no—
791C4⋊Q8—24no—
792C4⋊Q8—44no—
793C4⋊Q8—44no—
794C4⋊Q8—48no—
795C4⋊Q8—48no—
796C4⋊Q8—48no—
797#127—24no—
798#127#4118yes—
799#126—28no—
800#126—216no—
801#126—48no—
802#125—28no—
803#125—48no—
804#125—48no—
805#125—44no—
806#124—24no—
807#124—24no—
808#124—48no—
809#124—48no—
810#123—216no—
811#123—216no—
812#123—28no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—48no—
819C22⋊Q8—216no—
820C22⋊Q8—216no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—48no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834#121—216no—
835#121—216no—
836#121—216no—
837#121—28no—
838#121—28no—
839#121—48no—
840#121—44no—
841#121—44no—
842#120—216no—
843#120—48no—
844C4×Q8—28no—
845C4×Q8—24no—
846C4×Q8—24no—
847C4×Q8—42no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—24no—
852C4×D4—24no—
853C4×D4—24no—
854C4×D4—24no—
855C4×D4—44no—
856C4×D4—48no—
857C4×D4—48no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—42no—
861C4×D4—42no—
862C4×D4—42no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—48no—
866C4×D4—44no—
867C4×D4—48no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—48no—
872#117—24no—
873#117—28no—
874#117—24no—
875#117—44no—
876#117—48no—
877#117—42no—
878#117—48no—
879#117—44no—
880#117—44no—
881C2×C4⋊C4—42no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—48no—
948C2×C22⋊C4—48no—
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C42—24no—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032#95C2412yes—
1033#95C2411yescharacteristic
1034#95C2411yescharacteristic
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2411yescharacteristic
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090C24—24no—
1091C24—24no—
1092C24—42no—
1093C24—44no—
1094C24—44no—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2512yes—
1099C24C2511yescharacteristic
1100#41—416no—
1101C2×Q8—22no—
1102C2×Q8—24no—
1103C2×Q8—22no—
1104C2×Q8—22no—
1105C2×Q8—28no—
1106C2×Q8—28no—
1107C2×Q8—24no—
1108C2×Q8—24no—
1109C2×Q8—22no—
1110C2×Q8—44no—
1111C2×Q8—44no—
1112C2×Q8—44no—
1113C2×Q8—44no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—816no—
1117C2×Q8—816no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—24no—
1134C2×D4—22no—
1135C2×D4—416no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4C2×#4114yes—
1152C2×D4C2×#4114yes—
1153C2×D4C2×#41116yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—28no—
1159C22×C4—28no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—28no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C42−1+414yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4H(5,𝔽2)18yes—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—28no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C42—24no—
1338C42—22no—
1339C42—22no—
1340C42—24no—
1341C42—28no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—22no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—42no—
1352C42—44no—
1353C42—42no—
1354C42—42no—
1355C42—42no—
1356C42—44no—
1357C42—44no—
1358C42—42no—
1359C42—42no—
1360C42—44no—
1361C42C2×#4114yes—
1362C42H(5,𝔽2)14yes—
1363C23—21no—
1364C23—24no—
1365C23—21no—
1366C23—24no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—22no—
1374C23—24no—
1375C23—22no—
1376C23—22no—
1377C23—24no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—48no—
1388C23—88no—
1389C23—88no—
1390C23—162no—
1391C23—162no—
1392C23C22×#4114yes—
1393C23C22×#4114yes—
1394C23C2×2−1+412yes—
1395C23C2611yescharacteristic
1396Q8—28no—
1397Q8—44no—
1398Q8—88no—
1399Q8—84no—
1400Q8—88no—
1401Q8—84no—
1402D4—28no—
1403D4—28no—
1404D4—416no—
1405D4—48no—
1406D4—48no—
1407D4—44no—
1408D4—48no—
1409D4—44no—
1410D4—88no—
1411D4—88no—
1412D4—88no—
1413D4—164no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—28no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—21no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—48no—
1476C2×C4—48no—
1477C2×C4—48no—
1478C2×C4—84no—
1479C2×C4—84no—
1480C2×C4—84no—
1481C2×C4—88no—
1482C2×C4—88no—
1483C2×C4—88no—
1484C2×C4—88no—
1485C2×C4—162no—
1486C2×C4—164no—
1487C2×C4—162no—
1488C2×C4—162no—
1489C2×C4—162no—
1490C2×C4C22×#4114yes—
1491C2×C4C22×#4112yes—
1492C2×C4C2×H(5,𝔽2)14yes—
1493C2×C4C2×H(5,𝔽2)12yes—
1494C2×C4C2×H(5,𝔽2)14yes—
1495C2×C4C2×H(5,𝔽2)14yes—
1496C2×C4C2×H(5,𝔽2)12yes—
1497C2×C4C2×H(5,𝔽2)12yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C22—28no—
1501C22—28no—
1502C22—22no—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—41no—
1510C22—42no—
1511C22—42no—
1512C22—41no—
1513C22—44no—
1514C22—44no—
1515C22—42no—
1516C22—42no—
1517C22—44no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—44no—
1527C22—168no—
1528C22C23×#4111yescharacteristic
1529C22C22×H(5,𝔽2)12yes—
1530C22C22×H(5,𝔽2)11yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C222−1+612yes—
1533C4—24no—
1534C4—22no—
1535C4—24no—
1536C4—22no—
1537C4—22no—
1538C4—24no—
1539C4—24no—
1540C4—42no—
1541C4—42no—
1542C4—44no—
1543C4—44no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4—44no—
1551C4—41no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4#352014yes—
1559C2—44no—
1560C2—44no—
1561C2—42no—
1562C2—82no—
1563C2—82no—
1564C2C2×#352011yescharacteristic
1565C2#6283211yescharacteristic
1566C2#6288711yescharacteristic
1567C2#6291512yes—
1568C2#6298412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59275C2semidirect
2. #59273C2semidirect
3. #49898C2semidirect
4. #49379C2semidirect
5. #48214C2semidirect
6. #48206C2semidirect
7. #45337C2semidirect
8. #45211C2semidirect
9. #45083C2semidirect
10. #44938C2semidirect
11. #44162C2semidirect
12. #43834C2semidirect
13. #43104C2semidirect
14. #43007C2semidirect
15. #40072C2semidirect
16. #39497C2semidirect
17. #39489C2semidirect
18. #39416C2semidirect
19. #39404C2semidirect
20. #39372C2semidirect
21. #37327C2semidirect
22. #36601C2semidirect
23. Q8×#127C2semidirect
24. #36022C2semidirect
25. #35739C2semidirect
26. #35702C2semidirect
27. #35701C2semidirect
28. #35294C2semidirect
29. #34881C2semidirect
30. #34431C2semidirect
31. #34275C2semidirect
33. C2×#554C22semidirect
36. C2×D4×Q8C22semidirect
37. C2×D4×Q8C22semidirect
39. C2×#539C22semidirect
43. #2868C22semidirect
44. #2868C22semidirect
46. #2859C22semidirect
47. #2859C22semidirect
48. #2795C22semidirect
49. #2793C22semidirect
51. #2790C22semidirect
52. #2790C22semidirect
54. #2743C22semidirect
55. #2738C22semidirect
56. #2738C22semidirect
57. #2731C22semidirect
58. #2730C22semidirect
60. #2729C22semidirect
61. #2729C22semidirect
62. #2728C22semidirect
63. #2724C22semidirect
65. #2723C22semidirect
66. #2723C22semidirect
67. #2718C22semidirect
68. #2716C22semidirect
70. #2706C22semidirect
71. #2702C22semidirect
76. #2694C22semidirect
77. #2694C22semidirect
78. #2690C22semidirect
79. #2690C22semidirect
80. #2690C22semidirect
81. #2682C22semidirect
82. #2681C22semidirect
84. #2676C22semidirect
85. #2674C22semidirect
86. #2674C22semidirect
87. #2674C22semidirect
88. #2649C22semidirect
91. #2633C22semidirect
93. #2629C22semidirect
96. #2627C22semidirect
99. #2611C22semidirect
100. #2611C22semidirect
101. #2598C22semidirect
102. #2596C22semidirect
103. #2593C22semidirect
104. #2585C22semidirect
105. #2581C22semidirect
107. #2575C22semidirect
109. #2573C22semidirect
110. #2571C22semidirect
111. #2570C22semidirect
112. #2567C22semidirect
118. #2553C22semidirect
119. #2552C22semidirect
120. #2550C22semidirect
121. #2550C22semidirect
125. #2542C22semidirect
126. #2542C22semidirect
127. #2542C22semidirect
128. #2542C22semidirect
129. #2542C22semidirect
132. #2535C22semidirect
134. #2525C22semidirect
135. #2517C22semidirect
137. #2516C22semidirect
140. #2511C22semidirect
141. #2511C22semidirect
142. #2507C22semidirect
144. #2499C22semidirect
145. #2492C22semidirect
147. #2488C22semidirect
148. #2488C22semidirect
149. #2488C22semidirect
154. #2477C22semidirect
157. #2469C22semidirect
158. #2469C22semidirect
160. #2463C22semidirect
164. #2455C22semidirect
167. #2451C22semidirect
170. #2449C22semidirect
171. #2449C22semidirect
175. #2441C22semidirect
177. #2440C22semidirect
180. #2439C22semidirect
181. #2438C22semidirect
182. #2438C22semidirect
185. #2436C22semidirect
189. #2425C22semidirect
190. #2425C22semidirect
192. #2423C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
200. #2409C22semidirect
203. #2402C22semidirect
204. #2398C22semidirect
209. C2×#395C22semidirect
211. #2377C22semidirect
212. #2376C22semidirect
213. #2373C22semidirect
214. #2368C22semidirect
217. #2363C22semidirect
220. #2361C22semidirect
221. #2361C22semidirect
222. #2359C22semidirect
226. #2357C22semidirect
227. #2356C22semidirect
232. #2349C22semidirect
234. D4×C4⋊C4C22semidirect
237. #2335C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2330C22semidirect
241. #2329C22semidirect
246. #2325C22semidirect
247. #2324C22semidirect
248. #2322C22semidirect
250. #2317C22semidirect
254. C4×#125C22semidirect
255. C4×#126C22semidirect
259. #2298C22semidirect
262. #2293C22semidirect
265. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#592752
#592732
#498982
#493792
#482142
#482062
#453372
#452112
#450832
#449382
#441622
#438342
#431042
#430072
#400722
#394972
#394892
#394162
#394042
#393722
#373272
#366012
Q8×#1272
#360222
#357392
#357022
#357012
#352942
#348812
#344312
#342752