Finite Group Databasebeta

← #7693264

Subgroups — #7693264

Order 512.

4706 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59900C214yesmaximal, complemented
2#59710C212yesmaximal, complemented
3#59678C212yesmaximal, complemented
4#59671C212yesmaximal, complemented
5#59633C212yesmaximal
6#59442C211yesmaximal, characteristic, complemented
7#59218C211yesmaximal, characteristic, complemented
8#59214C211yesmaximal, characteristic, complemented
9#45262C212yesmaximal, complemented
10#44926C212yesmaximal, complemented
11#44106C214yesmaximal, complemented
12#43717C214yesmaximal, complemented
13#40016C214yesmaximal, complemented
14#39509C212yesmaximal, complemented
15#39243C212yesmaximal, complemented
16#39239C212yesmaximal, complemented
17#39125C211yesmaximal, characteristic, complemented
18#39125C211yesmaximal, characteristic, complemented
19#36600C211yesmaximal, characteristic, complemented
20#36589C212yesmaximal, complemented
21#36551C211yesmaximal, characteristic, complemented
22#36503C212yesmaximal, complemented
23#36459C211yesmaximal, characteristic, complemented
24#36270C212yesmaximal, complemented
25#36270C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#35833C212yesmaximal, complemented
28#35774C212yesmaximal, complemented
29#34934C211yesmaximal, characteristic
30#34915C212yesmaximal, complemented
31#34318C212yesmaximal, complemented
32#34243C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×Q82C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#552C2212yes—
38C2×#552C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2860C2212yes—
42#2860C2214yes—
43#2860C2212yes—
44#2859C2212yes—
45#2859C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2851C2212yes—
49#2810C2214yes—
50#2808C2214yes—
51#2805C2214yes—
52#2803C2214yes—
53#2802C2214yes—
54#2800C2214yes—
55#2796C2214yes—
56#2796C2214yes—
57#2795C2214yes—
58#2793C2214yes—
59#2790C2214yes—
60#2783C2214yes—
61#2780C2214yes—
62#2777C2214yes—
63#2751C2214yes—
64#2727C2214yes—
65#2718C2214yes—
66#2716C2214yes—
67#2716C2214yes—
68#2674C2214yes—
69#2674C2214yes—
70#2654C2214yes—
71#2649C2214yes—
72#2628C2212yes—
73#2628C2212yes—
74#2602C2214yes—
75#2601C2214yes—
76#2601C2214yes—
77#2601C2214yes—
78#2601C2214yes—
79#2597C2214yes—
80#2597C2214yes—
81#2596C2214yes—
82#2596C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2594C2214yes—
86#2593C2214yes—
87#2590C2214yes—
88#2589C2214yes—
89#2588C2214yes—
90#2587C2214yes—
91#2585C2214yes—
92#2585C2214yes—
93#2573C2214yes—
94#2573C2214yes—
95#2570C2212yes—
96#2570C2212yes—
97#2570C2212yes—
98#2566C2212yes—
99#2563C2211yescharacteristic
100#2563C2211yescharacteristic
101#2562C2212yes—
102#2562C2212yes—
103#2562C2212yes—
104#2560C2214yes—
105#2558C2214yes—
106#2558C2214yes—
107#2558C2214yes—
108#2557C2214yes—
109#2554C2212yes—
110#2554C2212yes—
111#2553C2214yes—
112#2552C2211yescharacteristic
113#2552C2211yescharacteristic
114#2552C2211yescharacteristic
115#2550C2212yes—
116#2550C2212yes—
117#2548C2211yescharacteristic
118#2547C2212yes—
119#2547C2212yes—
120#2544C2214yes—
121#2541C2211yescharacteristic
122#2538C2211yescharacteristic
123#2538C2212yes—
124#2538C2211yescharacteristic
125#2538C2212yes—
126#2538C2211yescharacteristic
127#2536C2212yes—
128#2536C2212yes—
129#2536C2212yes—
130#2532C2214yes—
131#2527C2214yes—
132#2525C2214yes—
133#2523C2214yes—
134#2521C2214yes—
135#2520C2214yes—
136#2516C2214yes—
137#2514C2212yes—
138#2513C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2511C2214yes—
142#2509C2212yes—
143#2509C2212yes—
144#2509C2212yes—
145#2506C2212yes—
146#2506C2214yes—
147#2497C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2496C2212yes—
151#2496C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2494C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2490C2211yescharacteristic
159#2490C2212yes—
160#2490C2212yes—
161#2490C2211yescharacteristic
162#2487C2212yes—
163#2487C2212yes—
164#2486C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2485C2212yes—
168#2485C2212yes—
169#2474C2214yes—
170#2469C2214yes—
171#2469C2214yes—
172#2466C2214yes—
173#2459C2214yes—
174#2458C2214yes—
175#2454C2212yes—
176#2453C2212yes—
177#2453C2212yes—
178#2450C2214yes—
179#2448C2214yes—
180#2448C2212yes—
181#2448C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2445C2214yes—
185#2445C2212yes—
186#2441C2212yes—
187#2426C2211yescharacteristic
188#2426C2211yescharacteristic
189#2421C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2415C2212yes—
193#2401C2214yes—
194#2395C2214yes—
195#2392C2212yes—
196#2392C2212yes—
197#2374C2214yes—
198#2373C2214yes—
199#2373C2212yes—
200#2373C2214yes—
201#2371C2212yes—
202#2370C2214yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2370C2211yescharacteristic
209#2369C2212yes—
210#2369C2214yes—
211#2369C2211yescharacteristic
212#2369C2212yes—
213#2367C2214yes—
214#2367C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2211yescharacteristic
221#2360C2212yes—
222#2360C2211yescharacteristic
223#2359C2212yes—
224#2359C2214yes—
225#2357C2212yes—
226#2356C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2354C2212yes—
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yes—
236#2352C2212yes—
237#2352C2212yes—
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246#2347C2214yes—
247#2347C2212yes—
248#2347C2212yes—
249#2346C2211yescharacteristic
250#2345C2212yes—
251#2344C2211yescharacteristic
252#2343C2212yes—
253#2336C2214yes—
254#2335C2214yes—
255#2335C2214yes—
256#2334C2214yes—
257#2323C2212yes—
258#2323C2212yes—
259#2314C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2214yes—
265C4×#127C2212yes—
266C4×#127C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#126C2214yes—
273C4×#126C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2298C2214yes—
284#2293C2212yes—
285#2293C2212yes—
286#2293C2214yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—28no—
300#552—216no—
301#552—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2312yes—
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308#529—28no—
309#529—28no—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2312yes—
437#396C2314yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2312yes—
467#392C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#381C2312yes—
696#381C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2312yes—
810C43C2312yes—
811C43C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C4⋊Q8—28no—
841C4⋊Q8—216no—
842C4⋊Q8—24no—
843C4⋊Q8—28no—
844#127—42no—
845#127—44no—
846#126—28no—
847#126—28no—
848#126—216no—
849#126—28no—
850#126—84no—
851#126—84no—
852#125—24no—
853#125—24no—
854#125—28no—
855#125—216no—
856#125—28no—
857#125—28no—
858#125—24no—
859#125—44no—
860#124—24no—
861#124—24no—
862#124—48no—
863#124—84no—
864#123—28no—
865#123—28no—
866#123—28no—
867#123—216no—
868#123—84no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—44no—
876C22⋊Q8—82no—
877#121—24no—
878#121—24no—
879#121—24no—
880#121—24no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—44no—
886C4×Q8—42no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—82no—
890C4×Q8—84no—
891C4×Q8#4118yes—
892C4×Q8#4118yes—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4—48no—
907C4×D4—84no—
908#117—24no—
909#117—28no—
910#117—28no—
911#117—28no—
912#117—28no—
913#117—216no—
914#117—44no—
915#117—42no—
916#117—44no—
917#117—44no—
918#117—82no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—42no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C42—24no—
1050C2×C42—24no—
1051C2×C42—44no—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2511yescharacteristic
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—28no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—42no—
1175C2×Q8—44no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8C2×#4114yes—
1179C2×Q8C2×#4114yes—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—42no—
1196C2×D4—41no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—28no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—41no—
1324C4⋊C4—44no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4C2×#4114yes—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4118yes—
1347C4⋊C42−1+414yes—
1348C22⋊C4—22no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—28no—
1408C42—28no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—44no—
1423C42—42no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—41no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—41no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—42no—
1440C42C2×#4114yes—
1441C42C2×#4118yes—
1442C42C2×#4118yes—
1443C42C2×#4114yes—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23#58512yes—
1472C23C2611yescharacteristic
1473Q8—28no—
1474Q8—28no—
1475Q8—84no—
1476Q8—88no—
1477D4—48no—
1478D4—48no—
1479D4—44no—
1480D4—44no—
1481D4—44no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—44no—
1566C2×C4—48no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—82no—
1574C2×C4—88no—
1575C2×C4—84no—
1576C2×C4—164no—
1577C2×C4C22×#4114yes—
1578C2×C4C22×#4114yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4114yes—
1582C2×C4C22×#4114yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C2×2−1+414yes—
1588C2×C4C2×2−1+412yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—42no—
1599C22—41no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22C23×#4111yescharacteristic
1620C22C23×#4111yescharacteristic
1621C22C22×2−1+411yescharacteristic
1622C22C2×#58511yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22H(7,𝔽2)11yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—24no—
1629C4—24no—
1630C4—24no—
1631C4—24no—
1632C4—22no—
1633C4—24no—
1634C4—42no—
1635C4—44no—
1636C4—41no—
1637C4—41no—
1638C4—42no—
1639C4—44no—
1640C4—41no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4#348014yes—
1656C4#350714yes—
1657C2—42no—
1658C2—81no—
1659C2—82no—
1660C2—82no—
1661C2C2×#348011yescharacteristic
1662C2C2×#350711yescharacteristic
1663C2#6281611yescharacteristic
1664C2#6293711yescharacteristic
1665C2#6299911yescharacteristic
1666C2#6300811yescharacteristic
1667C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59900C2semidirect
2. #59710C2semidirect
3. #59678C2semidirect
4. #59671C2semidirect
6. #59442C2semidirect
7. #59218C2semidirect
8. #59214C2semidirect
9. #45262C2semidirect
10. #44926C2semidirect
11. #44106C2semidirect
12. #43717C2semidirect
13. #40016C2semidirect
14. #39509C2semidirect
15. #39243C2semidirect
16. #39239C2semidirect
17. #39125C2semidirect
18. #39125C2semidirect
19. #36600C2semidirect
20. #36589C2semidirect
21. #36551C2semidirect
22. #36503C2semidirect
23. #36459C2semidirect
24. #36270C2semidirect
25. #36270C2semidirect
26. #36210C2semidirect
27. #35833C2semidirect
28. #35774C2semidirect
30. #34915C2semidirect
31. #34318C2semidirect
32. #34243C2semidirect
33. #34242C2semidirect
34. C4×Q82C2semidirect
35. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#599002
#597102
#596782
#596712
#596332
#594422
#592182
#592142
#452622
#449262
#441062
#437172
#400162
#395092
#392432
#392392
#391252
#366002
#365892
#365512
#365032
#364592
#362702
#362102
#358332
#357742
#349342
#349152
#343182
#342432
#342422
C4×Q822
C4×#5522