Finite Group Databasebeta

← #7719983

Subgroups — #7719983

Order 512.

4937 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51447C214yesmaximal, complemented
2#51446C214yesmaximal, complemented
3#50965C214yesmaximal, complemented
4#50837C214yesmaximal, complemented
5#45386C212yesmaximal, complemented
6#45260C212yesmaximal, complemented
7#45234C212yesmaximal, complemented
8#45106C212yesmaximal, complemented
9#45074C212yesmaximal, complemented
10#45052C212yesmaximal, complemented
11#45024C212yesmaximal, complemented
12#44895C212yesmaximal, complemented
13#39270C212yesmaximal, complemented
14#39262C212yesmaximal, complemented
15#39183C211yesmaximal, characteristic, complemented
16#39169C211yesmaximal, characteristic, complemented
17#38942C211yesmaximal, characteristic, complemented
18#38942C212yesmaximal, complemented
19#38932C211yesmaximal, characteristic, complemented
20#38926C212yesmaximal, complemented
21#37373C212yesmaximal, complemented
22#37332C212yesmaximal, complemented
23#36492C211yesmaximal, characteristic, complemented
24#36468C211yesmaximal, characteristic, complemented
25#36463C211yesmaximal, characteristic, complemented
26#36455C211yesmaximal, characteristic, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35271C212yesmaximal, complemented
29#35271C212yesmaximal, complemented
30#35207C211yesmaximal, characteristic, complemented
31#35171C211yesmaximal, characteristic, complemented
32#34621C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34484C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#540C2212yes—
41C2×C4×#41C2211yescharacteristic
42#2859C2211yescharacteristic
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2212yes—
46#2856C2211yescharacteristic
47#2856C2212yes—
48#2854C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2851C2212yes—
53#2851C2212yes—
54#2803C2214yes—
55#2802C2214yes—
56#2800C2214yes—
57#2797C2214yes—
58#2797C2214yes—
59#2796C2214yes—
60#2795C2214yes—
61#2791C2214yes—
62#2778C2214yes—
63#2765C2214yes—
64#2764C2214yes—
65#2757C2214yes—
66#2756C2214yes—
67#2756C2214yes—
68#2756C2214yes—
69#2752C2214yes—
70#2750C2214yes—
71#2747C2214yes—
72#2744C2214yes—
73#2741C2214yes—
74#2738C2214yes—
75#2718C2214yes—
76#2709C2214yes—
77#2708C2214yes—
78#2703C2214yes—
79#2703C2214yes—
80#2701C2214yes—
81#2699C2214yes—
82#2699C2214yes—
83#2699C2214yes—
84#2699C2214yes—
85#2695C2214yes—
86#2691C2214yes—
87#2688C2214yes—
88#2687C2214yes—
89#2676C2214yes—
90#2676C2214yes—
91#2673C2214yes—
92#2673C2214yes—
93#2671C2214yes—
94#2661C2214yes—
95#2653C2214yes—
96#2651C2212yes—
97#2651C2212yes—
98#2648C2212yes—
99#2648C2212yes—
100#2647C2211yescharacteristic
101#2647C2212yes—
102#2647C2212yes—
103#2644C2211yescharacteristic
104#2644C2211yescharacteristic
105#2644C2212yes—
106#2641C2212yes—
107#2641C2211yescharacteristic
108#2641C2212yes—
109#2629C2211yescharacteristic
110#2624C2211yescharacteristic
111#2624C2211yescharacteristic
112#2624C2212yes—
113#2619C2211yescharacteristic
114#2602C2214yes—
115#2602C2214yes—
116#2598C2214yes—
117#2595C2214yes—
118#2577C2214yes—
119#2570C2212yes—
120#2566C2212yes—
121#2565C2212yes—
122#2563C2211yescharacteristic
123#2563C2211yescharacteristic
124#2562C2212yes—
125#2562C2212yes—
126#2562C2212yes—
127#2559C2214yes—
128#2557C2214yes—
129#2552C2211yescharacteristic
130#2552C2211yescharacteristic
131#2552C2212yes—
132#2552C2212yes—
133#2543C2214yes—
134#2541C2211yescharacteristic
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2541C2212yes—
138#2537C2214yes—
139#2537C2212yes—
140#2537C2212yes—
141#2537C2211yescharacteristic
142#2537C2211yescharacteristic
143#2535C2212yes—
144#2535C2212yes—
145#2531C2214yes—
146#2531C2214yes—
147#2531C2214yes—
148#2531C2214yes—
149#2526C2214yes—
150#2526C2214yes—
151#2526C2214yes—
152#2526C2214yes—
153#2513C2212yes—
154#2513C2212yes—
155#2510C2214yes—
156#2509C2212yes—
157#2500C2212yes—
158#2500C2214yes—
159#2496C2212yes—
160#2495C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2494C2212yes—
164#2493C2214yes—
165#2490C2212yes—
166#2490C2212yes—
167#2490C2212yes—
168#2490C2212yes—
169#2490C2212yes—
170#2486C2212yes—
171#2477C2214yes—
172#2476C2214yes—
173#2468C2214yes—
174#2464C2214yes—
175#2463C2214yes—
176#2459C2214yes—
177#2458C2214yes—
178#2455C2214yes—
179#2454C2212yes—
180#2453C2212yes—
181#2448C2212yes—
182#2447C2212yes—
183#2445C2212yes—
184#2445C2214yes—
185#2444C2214yes—
186#2444C2214yes—
187#2444C2214yes—
188#2444C2214yes—
189#2442C2212yes—
190#2428C2212yes—
191#2428C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2214yes—
196#2427C2212yes—
197#2426C2212yes—
198#2425C2214yes—
199#2425C2214yes—
200#2425C2214yes—
201#2425C2214yes—
202#2422C2212yes—
203#2422C2212yes—
204#2422C2212yes—
205#2421C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2420C2214yes—
209#2420C2212yes—
210#2419C2214yes—
211#2416C2212yes—
212#2416C2212yes—
213#2414C2214yes—
214#2414C2214yes—
215#2414C2212yes—
216#2414C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2395C2212yes—
221#2395C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2378C2214yes—
225#2377C2214yes—
226#2370C2212yes—
227#2369C2211yescharacteristic
228#2366C2212yes—
229#2366C2212yes—
230#2366C2211yescharacteristic
231#2362C2212yes—
232#2361C2212yes—
233#2361C2212yes—
234#2357C2212yes—
235#2356C2211yescharacteristic
236#2356C2211yescharacteristic
237#2355C2211yescharacteristic
238#2354C2212yes—
239#2354C2211yescharacteristic
240#2353C2212yes—
241#2353C2212yes—
242#2352C2212yes—
243#2352C2212yes—
244Q8×C4⋊C4C2211yescharacteristic
245#2349C2212yes—
246#2349C2211yescharacteristic
247#2349C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249#2346C2211yescharacteristic
250#2346C2211yescharacteristic
251#2344C2212yes—
252#2343C2212yes—
253#2343C2212yes—
254#2341C2212yes—
255#2339C2211yescharacteristic
256#2339C2211yescharacteristic
257#2339C2212yes—
258#2330C2212yes—
259#2330C2212yes—
260#2328C2212yes—
261#2328C2212yes—
262#2325C2214yes—
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2323C2214yes—
269#2319C2212yes—
270#2319C2212yes—
271#2319C2212yes—
272#2319C2212yes—
273#2319C2212yes—
274#2316C2212yes—
275#2314C2212yes—
276#2311C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2290C2212yes—
293#2283C2212yes—
294#2283C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#554—28no—
302#553—48no—
303#550—28no—
304#550—48no—
305#540—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C4×#41—28no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2312yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2312yes—
413#399C2312yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#396C2312yes—
455#396C2312yes—
456#396C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2314yes—
549#390C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
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#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2314yes—
708#383C2312yes—
709#383C2314yes—
710#383C2312yes—
711#383C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2312yes—
728#381C2312yes—
729#381C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—28no—
818C2×#41—24no—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C4⋊Q8—24no—
862#127—28no—
863#127—28no—
864#127—24no—
865#127—44no—
866#127—42no—
867#127—48no—
868#126—48no—
869#125—28no—
870#125—44no—
871#125—42no—
872#125—44no—
873#125—44no—
874#124—82no—
875#124—82no—
876#123—48no—
877#123—48no—
878#123—48no—
879#123—84no—
880#123—84no—
881#123—84no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—82no—
885#121—28no—
886#121—28no—
887#121—28no—
888#121—216no—
889#121—48no—
890#121—48no—
891#121—48no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—44no—
896#121—42no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—48no—
903#121—48no—
904#121—84no—
905#121—84no—
906#121—84no—
907#121—82no—
908#121—84no—
909#121—84no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—82no—
913C4×Q8#4118yes—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4—84no—
938C4×D4—84no—
939C4×D4—84no—
940C4×D4—82no—
941#117—24no—
942#117—28no—
943#117—42no—
944#117—42no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—84no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C42—28no—
1076C2×C42—24no—
1077C2×C42—44no—
1078C2×C42—44no—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C24C2514yes—
1182C24C2512yes—
1183C24C2512yes—
1184#41—416no—
1185#41—816no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8C2×#4114yes—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4H(5,𝔽2)14yes—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—44no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4C2×#4114yes—
1390C4⋊C4C2×#4118yes—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—41no—
1484C42—41no—
1485C42—41no—
1486C42—41no—
1487C42C2×#4118yes—
1488C42C2×#4114yes—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—24no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—21no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—21no—
1523C23C2×H(5,𝔽2)14yes—
1524C23C2611yescharacteristic
1525Q8—28no—
1526Q8—84no—
1527D4—28no—
1528D4—48no—
1529D4—48no—
1530D4—44no—
1531D4—44no—
1532D4—48no—
1533D4—88no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539D4—88no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—84no—
1544D4—164no—
1545D4—164no—
1546D4—164no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—48no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—82no—
1637C2×C4—88no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—164no—
1643C2×C4—164no—
1644C2×C4—164no—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4114yes—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4112yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4#58512yes—
1652C2×C4#58512yes—
1653C2×C4#58512yes—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—44no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—44no—
1669C22—42no—
1670C22—41no—
1671C22—44no—
1672C22—42no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—44no—
1679C22—42no—
1680C22—41no—
1681C22—44no—
1682C22—41no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—41no—
1689C22C23×#4111yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22H(7,𝔽2)11yescharacteristic
1695C22H(7,𝔽2)11yescharacteristic
1696C4—24no—
1697C4—24no—
1698C4—22no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—44no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—44no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—44no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—41no—
1724C4#349414yes—
1725C4#352414yes—
1726C2—44no—
1727C2—81no—
1728C2—82no—
1729C2—82no—
1730C2—84no—
1731C2C2×#352411yescharacteristic
1732C2C2×#349411yescharacteristic
1733C2#6285811yescharacteristic
1734C2#6292011yescharacteristic
1735C2#6292011yescharacteristic
1736C2#6293711yescharacteristic
1737C2#6293711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #51447C2semidirect
2. #51446C2semidirect
3. #50965C2semidirect
4. #50837C2semidirect
5. #45386C2semidirect
6. #45260C2semidirect
7. #45234C2semidirect
8. #45106C2semidirect
9. #45074C2semidirect
10. #45052C2semidirect
11. #45024C2semidirect
12. #44895C2semidirect
13. #39270C2semidirect
14. #39262C2semidirect
15. #39183C2semidirect
16. #39169C2semidirect
17. #38942C2semidirect
18. #38942C2semidirect
19. #38932C2semidirect
20. #38926C2semidirect
21. #37373C2semidirect
22. #37332C2semidirect
23. #36492C2semidirect
24. #36468C2semidirect
25. #36463C2semidirect
26. #36455C2semidirect
27. #35288C2semidirect
28. #35271C2semidirect
29. #35271C2semidirect
30. #35207C2semidirect
31. #35171C2semidirect
32. #34621C2semidirect
33. #34494C2semidirect
34. #34484C2semidirect
35. #34123C2semidirect

Maximal subgroups

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

subgroupindex
#514472
#514462
#509652
#508372
#453862
#452602
#452342
#451062
#450742
#450522
#450242
#448952
#392702
#392622
#391832
#391692
#389422
#389322
#389262
#373732
#373322
#364922
#364682
#364632
#364552
#352882
#352712
#352072
#351712
#346212
#344942
#344842
#341232