Finite Group Databasebeta

← #7677807

Subgroups — #7677807

Order 512.

4663 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59876C212yesmaximal, complemented
2#59665C212yesmaximal, complemented
3#59643C212yesmaximal, complemented
4#59432C212yesmaximal, complemented
5#59321C211yesmaximal, characteristic, complemented
6#59312C211yesmaximal, characteristic, complemented
7#59262C211yesmaximal, characteristic, complemented
8#59257C211yesmaximal, characteristic, complemented
9#59245C211yesmaximal, characteristic, complemented
10#59242C211yesmaximal, characteristic, complemented
11#59234C211yesmaximal, characteristic, complemented
12#59214C211yesmaximal, characteristic, complemented
13#45237C212yesmaximal, complemented
14#45178C212yesmaximal, complemented
15#45116C212yesmaximal, complemented
16#45115C212yesmaximal, complemented
17#43596C214yesmaximal, complemented
18#43591C214yesmaximal, complemented
19#40299C214yesmaximal, complemented
20#39938C212yesmaximal, complemented
21#39913C212yesmaximal, complemented
22#38698C214yesmaximal, complemented
23#36461C212yesmaximal, complemented
24#36409C212yesmaximal, complemented
25#35653C212yesmaximal, complemented
26#35599C212yesmaximal, complemented
27#35247C211yesmaximal, characteristic, complemented
28#35184C212yesmaximal, complemented
29#34978C211yesmaximal, characteristic, complemented
30#34911C211yesmaximal, characteristic
31#34318C212yesmaximal, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34188C211yesmaximal, characteristic, complemented
34Q8×#117C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#536C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2863C2214yes—
42#2861C2214yes—
43#2855C2212yes—
44#2854C2212yes—
45#2799C2214yes—
46#2799C2214yes—
47#2793C2214yes—
48#2791C2214yes—
49#2788C2214yes—
50#2787C2214yes—
51#2780C2214yes—
52#2775C2214yes—
53#2773C2214yes—
54#2769C2214yes—
55#2758C2214yes—
56#2750C2214yes—
57#2743C2214yes—
58#2740C2214yes—
59#2740C2214yes—
60#2739C2214yes—
61#2738C2214yes—
62#2721C2214yes—
63#2716C2214yes—
64#2710C2214yes—
65#2706C2214yes—
66#2694C2214yes—
67#2694C2214yes—
68#2693C2214yes—
69#2654C2214yes—
70#2654C2214yes—
71#2637C2214yes—
72#2612C2214yes—
73#2611C2214yes—
74#2607C2214yes—
75#2604C2212yes—
76#2603C2212yes—
77#2602C2212yes—
78#2602C2212yes—
79#2596C2214yes—
80#2596C2214yes—
81#2594C2214yes—
82#2592C2211yescharacteristic
83#2592C2212yes—
84#2590C2214yes—
85#2588C2214yes—
86#2587C2214yes—
87#2584C2211yescharacteristic
88#2584C2212yes—
89#2582C2211yescharacteristic
90#2582C2211yescharacteristic
91#2575C2214yes—
92#2573C2214yes—
93#2573C2214yes—
94#2573C2214yes—
95#2573C2214yes—
96#2572C2214yes—
97#2572C2214yes—
98#2571C2212yes—
99#2571C2211yescharacteristic
100#2568C2212yes—
101#2566C2212yes—
102#2565C2212yes—
103#2562C2211yescharacteristic
104#2558C2214yes—
105#2558C2214yes—
106#2557C2214yes—
107#2557C2214yes—
108#2554C2214yes—
109#2552C2212yes—
110#2552C2211yescharacteristic
111#2552C2211yescharacteristic
112#2552C2212yes—
113#2551C2211yescharacteristic
114#2550C2214yes—
115#2547C2212yes—
116#2540C2211yescharacteristic
117#2538C2212yes—
118#2538C2211yescharacteristic
119#2538C2211yescharacteristic
120#2533C2214yes—
121#2532C2214yes—
122#2527C2214yes—
123#2527C2214yes—
124#2527C2214yes—
125#2526C2214yes—
126#2525C2214yes—
127#2525C2214yes—
128#2524C2214yes—
129#2524C2214yes—
130#2523C2214yes—
131#2516C2214yes—
132#2514C2212yes—
133#2514C2212yes—
134#2513C2212yes—
135#2512C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2509C2212yes—
139#2509C2214yes—
140#2509C2212yes—
141#2509C2212yes—
142#2506C2212yes—
143#2506C2212yes—
144#2506C2214yes—
145#2506C2212yes—
146#2503C2212yes—
147#2502C2212yes—
148#2501C2212yes—
149#2499C2212yes—
150#2497C2212yes—
151#2497C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2495C2212yes—
155#2495C2212yes—
156#2495C2212yes—
157#2495C2212yes—
158#2492C2212yes—
159#2492C2212yes—
160#2491C2212yes—
161#2489C2212yes—
162#2487C2212yes—
163#2486C2212yes—
164#2486C2212yes—
165#2474C2214yes—
166#2474C2214yes—
167#2473C2214yes—
168#2470C2214yes—
169#2458C2214yes—
170#2453C2214yes—
171#2453C2214yes—
172#2448C2214yes—
173#2442C2212yes—
174#2441C2212yes—
175#2441C2212yes—
176#2441C2212yes—
177#2441C2212yes—
178#2439C2212yes—
179#2439C2212yes—
180#2439C2212yes—
181#2423C2212yes—
182#2423C2212yes—
183#2423C2212yes—
184#2420C2212yes—
185#2415C2212yes—
186#2415C2211yescharacteristic
187#2415C2212yes—
188#2415C2211yescharacteristic
189#2414C2211yescharacteristic
190#2414C2211yescharacteristic
191#2413C2214yes—
192#2413C2214yes—
193#2409C2212yes—
194#2396C2214yes—
195#2395C2212yes—
196#2388C2212yes—
197#2374C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2370C2214yes—
201#2370C2212yes—
202#2369C2212yes—
203#2369C2212yes—
204#2363C2212yes—
205#2363C2212yes—
206#2362C2212yes—
207#2362C2212yes—
208#2360C2212yes—
209#2360C2212yes—
210#2357C2212yes—
211#2356C2212yes—
212#2356C2212yes—
213#2355C2212yes—
214#2355C2212yes—
215#2355C2212yes—
216#2355C2211yescharacteristic
217#2355C2211yescharacteristic
218#2355C2211yescharacteristic
219#2355C2212yes—
220#2354C2212yes—
221#2354C2211yescharacteristic
222#2354C2212yes—
223#2354C2212yes—
224#2352C2212yes—
225#2352C2212yes—
226#2352C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2352C2212yes—
230Q8×C4⋊C4C2211yescharacteristic
231Q8×C4⋊C4C2211yescharacteristic
232Q8×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234#2347C2214yes—
235#2347C2212yes—
236#2347C2212yes—
237#2345C2212yes—
238#2345C2212yes—
239#2345C2214yes—
240#2344C2212yes—
241Q8×C22⋊C4C2212yes—
242#2336C2214yes—
243#2335C2214yes—
244#2335C2214yes—
245#2327C2212yes—
246#2326C2212yes—
247#2323C2211yescharacteristic
248#2323C2212yes—
249#2323C2211yescharacteristic
250#2323C2212yes—
251#2323C2211yescharacteristic
252#2323C2211yescharacteristic
253#2322C2212yes—
254#2322C2212yes—
255#2317C2211yescharacteristic
256#2314C2212yes—
257#2314C2212yes—
258#2314C2212yes—
259#2311C2211yescharacteristic
260#2311C2212yes—
261#2310C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#126C2214yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281#2298C2214yes—
282#2295C2212yes—
283#2295C2214yes—
284#2293C2212yes—
285#2293C2212yes—
286#2285C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2274C2212yes—
294#2274C2212yes—
295C42×Q8C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#552—216no—
302#536—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306#529—28no—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2314yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C4×#41—28no—
337C2×C4×Q8—28no—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387#401C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
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#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2312yes—
450#395C2314yes—
451#395C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#393C2314yes—
464#392C2312yes—
465#392C2312yes—
466#392C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2314yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2314yes—
812C43C2314yes—
813C43C2312yes—
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C4⋊Q8—28no—
849C4⋊Q8—28no—
850C4⋊Q8—44no—
851#126—216no—
852#126—28no—
853#125—216no—
854#125—28no—
855#125—24no—
856#125—44no—
857#125—84no—
858#125—84no—
859#124—28no—
860#124—24no—
861#124—84no—
862#123—28no—
863#123—28no—
864#123—28no—
865#123—216no—
866#123—84no—
867#123—84no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—42no—
875C22⋊Q8—44no—
876C22⋊Q8#4118yes—
877#121—24no—
878#121—24no—
879#121—42no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—84no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—44no—
904#117—24no—
905#117—24no—
906#117—28no—
907#117—24no—
908#117—216no—
909#117—24no—
910#117—24no—
911#117—28no—
912#117—42no—
913#117—44no—
914#117—44no—
915#117—44no—
916#117—42no—
917#117—82no—
918#117—82no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—82no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—28no—
1049C2×C42—24no—
1050C2×C42—24no—
1051C2×C42#4118yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2511yescharacteristic
1168C24C2511yescharacteristic
1169#41—416no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—28no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—41no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—416no—
1188C2×Q8C2×#4114yes—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4C2×#4114yes—
1249C22×C4C2×#4114yes—
1250C22×C4C2×#4114yes—
1251C22×C4C2×#4114yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2514yes—
1261C22×C4C2514yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4C2×#4114yes—
1357C4⋊C4C2×#4118yes—
1358C4⋊C42−1+414yes—
1359C22⋊C4—24no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4C2×#4118yes—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—28no—
1417C42—24no—
1418C42—28no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—42no—
1431C42—44no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42C2×#4114yes—
1442C42C2×#4114yes—
1443C42C2×#4114yes—
1444C42C2×#4114yes—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23C22×#4112yes—
1472C23C22×#4112yes—
1473C23C2611yescharacteristic
1474Q8—28no—
1475Q8—48no—
1476Q8—44no—
1477Q8—44no—
1478Q8—44no—
1479Q8—88no—
1480D4—44no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—28no—
1504C2×C4—28no—
1505C2×C4—28no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—88no—
1578C2×C4—84no—
1579C2×C4—164no—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4114yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4114yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C2×2−1+414yes—
1591C2×C4C2×2−1+412yes—
1592C2×C4#58512yes—
1593C2×C4#58512yes—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22C23×#4111yescharacteristic
1623C22C23×#4111yescharacteristic
1624C22C22×2−1+411yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58511yescharacteristic
1627C22H(7,𝔽2)11yescharacteristic
1628C222−1+611yescharacteristic
1629C4—24no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—24no—
1634C4—22no—
1635C4—22no—
1636C4—24no—
1637C4—42no—
1638C4—42no—
1639C4—44no—
1640C4—44no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4#347514yes—
1659C4#350714yes—
1660C2—42no—
1661C2—42no—
1662C2—82no—
1663C2—81no—
1664C2C2×#347511yescharacteristic
1665C2C2×#350711yescharacteristic
1666C2#6285611yescharacteristic
1667C2#6295111yescharacteristic
1668C2#6296811yescharacteristic
1669C2#6300111yescharacteristic
1670C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34911C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59876C2semidirect
2. #59665C2semidirect
3. #59643C2semidirect
4. #59432C2semidirect
5. #59321C2semidirect
6. #59312C2semidirect
7. #59262C2semidirect
8. #59257C2semidirect
9. #59245C2semidirect
10. #59242C2semidirect
11. #59234C2semidirect
12. #59214C2semidirect
13. #45237C2semidirect
14. #45178C2semidirect
15. #45116C2semidirect
16. #45115C2semidirect
17. #43596C2semidirect
18. #43591C2semidirect
19. #40299C2semidirect
20. #39938C2semidirect
21. #39913C2semidirect
22. #38698C2semidirect
23. #36461C2semidirect
24. #36409C2semidirect
25. #35653C2semidirect
26. #35599C2semidirect
27. #35247C2semidirect
28. #35184C2semidirect
29. #34978C2semidirect
31. #34318C2semidirect
32. #34242C2semidirect
33. #34188C2semidirect
34. Q8×#117C2semidirect
35. C4×#536C2semidirect

Maximal subgroups

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

subgroupindex
#598762
#596652
#596432
#594322
#593212
#593122
#592622
#592572
#592452
#592422
#592342
#592142
#452372
#451782
#451162
#451152
#435962
#435912
#402992
#399382
#399132
#386982
#364612
#364092
#356532
#355992
#352472
#351842
#349782
#349112
#343182
#342422
#341882
Q8×#1172
C4×#5362