Finite Group Databasebeta

← #7690594

Subgroups — #7690594

Order 512.

4782 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59627C212yesmaximal, complemented
2#59587C212yesmaximal, complemented
3#59583C212yesmaximal, complemented
4#59566C212yesmaximal, complemented
5#59436C211yesmaximal, characteristic, complemented
6#59343C214yesmaximal, complemented
7#59242C211yesmaximal, characteristic, complemented
8#59230C211yesmaximal, characteristic, complemented
9#45126C212yesmaximal, complemented
10#45118C212yesmaximal, complemented
11#43630C214yesmaximal, complemented
12#43520C214yesmaximal, complemented
13#40317C214yesmaximal, complemented
14#39561C212yesmaximal, complemented
15#39529C212yesmaximal, complemented
16#39470C211yesmaximal, characteristic, complemented
17#39001C212yesmaximal, complemented
18#38921C211yesmaximal, characteristic, complemented
19#36564C211yesmaximal, characteristic, complemented
20#36459C212yesmaximal, complemented
21#36459C211yesmaximal, characteristic, complemented
22#36407C211yesmaximal, characteristic, complemented
23#36312C211yesmaximal, characteristic, complemented
24#36251C212yesmaximal, complemented
25#36209C211yesmaximal, characteristic, complemented
26#36176C212yesmaximal, complemented
27#35804C212yesmaximal, complemented
28#35758C212yesmaximal, complemented
29#34913C212yesmaximal, complemented
30#34889C211yesmaximal, characteristic
31#34252C212yesmaximal, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#520C2212yes—
41#2860C2212yes—
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2854C2214yes—
49#2797C2214yes—
50#2796C2214yes—
51#2791C2214yes—
52#2787C2214yes—
53#2784C2214yes—
54#2767C2214yes—
55#2759C2214yes—
56#2757C2214yes—
57#2755C2214yes—
58#2746C2214yes—
59#2745C2214yes—
60#2739C2214yes—
61#2737C2214yes—
62#2728C2214yes—
63#2723C2214yes—
64#2700C2214yes—
65#2698C2214yes—
66#2696C2214yes—
67#2695C2214yes—
68#2681C2214yes—
69#2680C2214yes—
70#2653C2214yes—
71#2630C2214yes—
72#2625C2212yes—
73#2616C2212yes—
74#2605C2214yes—
75#2602C2214yes—
76#2599C2214yes—
77#2596C2214yes—
78#2594C2214yes—
79#2590C2214yes—
80#2586C2214yes—
81#2585C2214yes—
82#2582C2211yescharacteristic
83#2578C2214yes—
84#2577C2214yes—
85#2576C2214yes—
86#2575C2214yes—
87#2574C2214yes—
88#2574C2214yes—
89#2571C2212yes—
90#2570C2212yes—
91#2567C2211yescharacteristic
92#2563C2211yescharacteristic
93#2563C2212yes—
94#2563C2212yes—
95#2560C2214yes—
96#2560C2214yes—
97#2560C2214yes—
98#2559C2212yes—
99#2557C2212yes—
100#2556C2214yes—
101#2554C2214yes—
102#2553C2214yes—
103#2552C2212yes—
104#2552C2211yescharacteristic
105#2551C2211yescharacteristic
106#2550C2212yes—
107#2550C2211yescharacteristic
108#2549C2214yes—
109#2544C2211yescharacteristic
110#2540C2211yescharacteristic
111#2538C2211yescharacteristic
112#2536C2212yes—
113#2535C2211yescharacteristic
114#2532C2214yes—
115#2532C2214yes—
116#2532C2214yes—
117#2532C2214yes—
118#2531C2214yes—
119#2529C2214yes—
120#2524C2214yes—
121#2523C2214yes—
122#2521C2212yes—
123#2520C2214yes—
124#2519C2214yes—
125#2518C2214yes—
126#2517C2214yes—
127#2516C2214yes—
128#2514C2214yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2212yes—
132#2513C2214yes—
133#2508C2214yes—
134#2508C2212yes—
135#2508C2212yes—
136#2508C2212yes—
137#2508C2212yes—
138#2507C2212yes—
139#2507C2212yes—
140#2499C2212yes—
141#2496C2212yes—
142#2496C2214yes—
143#2496C2212yes—
144#2495C2212yes—
145#2495C2212yes—
146#2495C2212yes—
147#2495C2212yes—
148#2495C2212yes—
149#2494C2212yes—
150#2492C2211yescharacteristic
151#2492C2212yes—
152#2490C2212yes—
153#2490C2211yescharacteristic
154#2490C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2489C2212yes—
158#2489C2212yes—
159#2488C2214yes—
160#2488C2214yes—
161#2486C2212yes—
162#2486C2212yes—
163#2485C2214yes—
164#2485C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2476C2214yes—
168#2469C2214yes—
169#2467C2214yes—
170#2464C2212yes—
171#2462C2214yes—
172#2460C2214yes—
173#2454C2212yes—
174#2452C2212yes—
175#2451C2212yes—
176#2448C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2445C2212yes—
180#2442C2212yes—
181#2441C2212yes—
182#2440C2212yes—
183#2439C2212yes—
184#2439C2212yes—
185#2428C2211yescharacteristic
186#2427C2211yescharacteristic
187#2423C2212yes—
188#2422C2212yes—
189#2420C2212yes—
190#2417C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2401C2214yes—
194#2395C2214yes—
195#2395C2212yes—
196#2388C2212yes—
197#2373C2214yes—
198#2373C2212yes—
199#2371C2212yes—
200#2370C2212yes—
201#2370C2211yescharacteristic
202#2370C2212yes—
203#2370C2212yes—
204#2369C2212yes—
205#2369C2212yes—
206#2369C2211yescharacteristic
207#2368C2214yes—
208#2367C2214yes—
209#2366C2212yes—
210#2365C2212yes—
211#2363C2212yes—
212#2363C2212yes—
213#2362C2211yescharacteristic
214#2362C2212yes—
215#2362C2212yes—
216#2360C2211yescharacteristic
217#2360C2212yes—
218#2359C2212yes—
219#2357C2214yes—
220#2356C2212yes—
221#2356C2211yescharacteristic
222#2356C2214yes—
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2214yes—
226#2354C2211yescharacteristic
227#2354C2212yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2354C2212yes—
231#2354C2214yes—
232#2354C2211yescharacteristic
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yes—
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238#2349C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yes—
242#2347C2214yes—
243#2347C2212yes—
244#2346C2211yescharacteristic
245#2346C2212yes—
246#2346C2212yes—
247#2346C2212yes—
248#2345C2212yes—
249#2345C2212yes—
250#2345C2212yes—
251#2344C2212yes—
252#2344C2211yescharacteristic
253#2343C2212yes—
254#2335C2214yes—
255#2325C2214yes—
256#2318C2214yes—
257#2318C2214yes—
258#2317C2212yes—
259#2314C2212yes—
260#2311C2212yes—
261#2311C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#124C2211yescharacteristic
270C4×#124C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2214yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2297C2212yes—
283#2296C2212yes—
284#2295C2212yes—
285#2290C2214yes—
286#2290C2214yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2283C2214yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#554—28no—
301#552—28no—
302#532—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343#520—216no—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2314yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388#401C2314yes—
389#401C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#392C2312yes—
464#392C2312yes—
465#392C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2311yescharacteristic
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2314yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2314yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2314yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2314yes—
683#382C2312yes—
684#382C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2312yes—
688#382C2314yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2311yescharacteristic
719#380C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851#127—24no—
852#126—28no—
853#126—28no—
854#126—84no—
855#126—84no—
856#125—24no—
857#125—28no—
858#125—24no—
859#125—28no—
860#125—28no—
861#125—82no—
862#124—24no—
863#124—28no—
864#124—42no—
865#123—28no—
866#123—28no—
867#123—84no—
868#123—84no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—216no—
875C22⋊Q8—44no—
876C22⋊Q8—82no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879C22⋊Q8—82no—
880#121—24no—
881#121—24no—
882#121—24no—
883#121—24no—
884#121—28no—
885#121—44no—
886C4×Q8—216no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×D4—28no—
894C4×D4—216no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—216no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4#4118yes—
909#117—28no—
910#117—28no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—24no—
915#117—44no—
916#117—48no—
917#117—42no—
918#117—44no—
919#117—44no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4#4118yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—48no—
1045C2×C42—44no—
1046C2×C42—44no—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2511yescharacteristic
1165C24C2512yes—
1166C24C2512yes—
1167C24C2511yescharacteristic
1168#41—432no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4C2×#4114yes—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—28no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4C2×#4118yes—
1254C22×C4C2×#4114yes—
1255C22×C4C2×#4118yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4C2×#4114yes—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4C2×#4118yes—
1353C4⋊C4C2×#4114yes—
1354C4⋊C42−1+414yes—
1355C22⋊C4—22no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4C2×#4118yes—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—28no—
1412C42—28no—
1413C42—28no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—28no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—42no—
1429C42—44no—
1430C42—42no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—41no—
1442C42—42no—
1443C42—42no—
1444C42C2×#4114yes—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23C22×#4112yes—
1472C23C22×#4114yes—
1473C23C2611yescharacteristic
1474Q8—48no—
1475Q8—44no—
1476Q8—44no—
1477Q8—84no—
1478Q8—164no—
1479D4—28no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—44no—
1484D4—44no—
1485D4—84no—
1486D4—84no—
1487D4—84no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—216no—
1503C2×C4—28no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—44no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—82no—
1577C2×C4—82no—
1578C2×C4—88no—
1579C2×C4—88no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4C22×#4114yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C2×2−1+414yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4#58512yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C22—24no—
1597C22—22no—
1598C22—24no—
1599C22—22no—
1600C22—22no—
1601C22—24no—
1602C22—41no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22C23×#4111yescharacteristic
1625C22C23×#4111yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22H(7,𝔽2)11yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—24no—
1634C4—24no—
1635C4—24no—
1636C4—22no—
1637C4—24no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4—44no—
1642C4—42no—
1643C4—44no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—44no—
1651C4—41no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—44no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4#347514yes—
1661C4#350714yes—
1662C2—44no—
1663C2—42no—
1664C2—81no—
1665C2—82no—
1666C2C2×#347511yescharacteristic
1667C2C2×#350711yescharacteristic
1668C2#6278111yescharacteristic
1669C2#6293711yescharacteristic
1670C2#6299411yescharacteristic
1671C2#6299911yescharacteristic
1672C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34889C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59627C2semidirect
2. #59587C2semidirect
3. #59583C2semidirect
4. #59566C2semidirect
5. #59436C2semidirect
6. #59343C2semidirect
7. #59242C2semidirect
8. #59230C2semidirect
9. #45126C2semidirect
10. #45118C2semidirect
11. #43630C2semidirect
12. #43520C2semidirect
13. #40317C2semidirect
14. #39561C2semidirect
15. #39529C2semidirect
16. #39470C2semidirect
17. #39001C2semidirect
18. #38921C2semidirect
19. #36564C2semidirect
20. #36459C2semidirect
21. #36459C2semidirect
22. #36407C2semidirect
23. #36312C2semidirect
24. #36251C2semidirect
25. #36209C2semidirect
26. #36176C2semidirect
27. #35804C2semidirect
28. #35758C2semidirect
29. #34913C2semidirect
31. #34252C2semidirect
32. #34242C2semidirect
33. #34206C2semidirect
34. C4×#554C2semidirect
35. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#596272
#595872
#595832
#595662
#594362
#593432
#592422
#592302
#451262
#451182
#436302
#435202
#403172
#395612
#395292
#394702
#390012
#389212
#365642
#364592
#364072
#363122
#362512
#362092
#361762
#358042
#357582
#349132
#348892
#342522
#342422
#342062
C4×#5542
C4×#5522