Finite Group Databasebeta

← #7710394

Subgroups — #7710394

Order 512.

4564 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59259C211yesmaximal, characteristic, complemented
2#59245C211yesmaximal, characteristic, complemented
3#59230C211yesmaximal, characteristic
4#59214C211yesmaximal, characteristic
5#59153C212yesmaximal
6#59152C212yesmaximal, complemented
7#45798C214yesmaximal, complemented
8#45502C212yesmaximal, complemented
9#45501C212yesmaximal, complemented
10#39978C212yesmaximal, complemented
11#39977C212yesmaximal, complemented
12#39969C214yesmaximal, complemented
13#39707C214yesmaximal, complemented
14#39661C212yesmaximal, complemented
15#39660C212yesmaximal, complemented
16#39638C212yesmaximal, complemented
17#39633C211yesmaximal, characteristic, complemented
18#39633C211yesmaximal, characteristic, complemented
19#39625C211yesmaximal, characteristic, complemented
20#39625C211yesmaximal, characteristic, complemented
21#39613C212yesmaximal, complemented
22#37567C212yesmaximal, complemented
23#36754C214yesmaximal, complemented
24#36645C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36480C212yesmaximal, complemented
27#36477C211yesmaximal, characteristic, complemented
28#36466C211yesmaximal, characteristic, complemented
29#36285C211yesmaximal, characteristic, complemented
30#36280C212yesmaximal, complemented
31#36261C211yesmaximal, characteristic, complemented
32#35177C212yesmaximal, complemented
33#35017C212yesmaximal, complemented
34#34392C212yesmaximal
35C4×#529C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#554C2212yes—
38C2×#533C2212yes—
39C2×#529C2211yescharacteristic
40#2868C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2863C2212yes—
44#2863C2211yescharacteristic
45#2863C2211yescharacteristic
46#2863C2212yes—
47#2862C2211yescharacteristic
48#2862C2212yes—
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2212yes—
53#2859C2212yes—
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2212yes—
57#2857C2212yes—
58#2857C2212yes—
59#2857C2212yes—
60#2857C2212yes—
61#2855C2211yescharacteristic
62#2855C2212yes—
63#2855C2211yescharacteristic
64#2855C2212yes—
65#2851C2212yes—
66#2841C2214yes—
67#2841C2214yes—
68#2806C2214yes—
69#2802C2214yes—
70#2802C2214yes—
71#2792C2214yes—
72#2792C2214yes—
73#2790C2214yes—
74#2790C2214yes—
75#2788C2214yes—
76#2788C2214yes—
77#2784C2214yes—
78#2780C2214yes—
79#2774C2214yes—
80#2774C2214yes—
81#2774C2214yes—
82#2768C2214yes—
83#2763C2214yes—
84#2755C2214yes—
85#2734C2214yes—
86#2734C2214yes—
87#2729C2214yes—
88#2729C2214yes—
89#2729C2214yes—
90#2729C2214yes—
91#2729C2214yes—
92#2713C2214yes—
93#2704C2214yes—
94#2704C2214yes—
95#2704C2214yes—
96#2704C2214yes—
97#2692C2214yes—
98#2683C2214yes—
99#2677C2214yes—
100#2667C2214yes—
101#2666C2214yes—
102#2666C2214yes—
103#2666C2214yes—
104#2665C2214yes—
105#2665C2214yes—
106#2660C2212yes—
107#2660C2212yes—
108#2647C2212yes—
109#2647C2212yes—
110#2612C2214yes—
111#2608C2214yes—
112#2606C2214yes—
113#2606C2214yes—
114#2605C2214yes—
115#2605C2214yes—
116#2590C2214yes—
117#2588C2214yes—
118#2587C2214yes—
119#2587C2214yes—
120#2585C2214yes—
121#2585C2214yes—
122#2585C2214yes—
123#2584C2212yes—
124#2584C2212yes—
125#2584C2214yes—
126#2583C2214yes—
127#2582C2211yescharacteristic
128#2582C2211yescharacteristic
129#2574C2214yes—
130#2570C2212yes—
131#2570C2212yes—
132#2568C2212yes—
133#2567C2212yes—
134#2567C2212yes—
135#2566C2212yes—
136#2566C2212yes—
137#2565C2212yes—
138#2565C2212yes—
139#2563C2212yes—
140#2563C2212yes—
141#2556C2214yes—
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2551C2212yes—
146#2551C2212yes—
147#2551C2211yescharacteristic
148#2551C2212yes—
149#2551C2211yescharacteristic
150#2551C2212yes—
151#2551C2212yes—
152#2550C2212yes—
153#2550C2212yes—
154#2550C2214yes—
155#2550C2212yes—
156#2550C2212yes—
157#2549C2214yes—
158#2538C2212yes—
159#2538C2211yescharacteristic
160#2538C2211yescharacteristic
161#2511C2212yes—
162#2509C2214yes—
163#2509C2212yes—
164#2509C2212yes—
165#2509C2214yes—
166#2508C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2212yes—
171#2507C2212yes—
172#2502C2212yes—
173#2502C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2492C2212yes—
181#2492C2212yes—
182#2492C2212yes—
183#2492C2212yes—
184#2487C2212yes—
185#2473C2214yes—
186#2473C2214yes—
187#2465C2214yes—
188#2465C2214yes—
189#2465C2214yes—
190#2465C2214yes—
191#2465C2214yes—
192#2462C2214yes—
193#2462C2214yes—
194#2452C2212yes—
195#2452C2212yes—
196#2452C2214yes—
197#2451C2214yes—
198#2451C2212yes—
199#2451C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2449C2214yes—
203#2446C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2440C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2214yes—
213#2438C2214yes—
214#2429C2214yes—
215#2429C2212yes—
216#2423C2212yes—
217#2417C2212yes—
218#2376C2214yes—
219#2376C2214yes—
220#2370C2212yes—
221#2370C2212yes—
222#2369C2212yes—
223#2365C2214yes—
224#2363C2212yes—
225#2363C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2360C2214yes—
229#2360C2212yes—
230#2357C2212yes—
231#2356C2212yes—
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2212yes—
235#2351C2212yes—
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240#2349C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243#2347C2214yes—
244#2345C2212yes—
245#2343C2214yes—
246#2334C2214yes—
247#2334C2214yes—
248#2331C2214yes—
249#2330C2212yes—
250#2330C2212yes—
251#2329C2214yes—
252#2326C2212yes—
253#2326C2212yes—
254#2319C2214yes—
255#2318C2214yes—
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2295C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2211yescharacteristic
287C2×#389C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2212yes—
291#2285C2211yescharacteristic
292#2283C2212yes—
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#557—48no—
300#554—48no—
301#533—48no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317#529Q8116yescomplemented
318C2×#126C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#123C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C22×C4⋊C4C2314yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#391C2314yes—
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
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#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#383C2312yes—
696#383C2314yes—
697#383C2312yes—
698#383C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2314yes—
716#381C2312yes—
717#380C2311yescharacteristic
718#380C2314yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2314yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804C2×#95C2314yes—
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C4⋊Q8—44no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—42no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—48no—
849C4⋊Q8—48no—
850C4⋊Q8—48no—
851#126C2×Q8116yes—
852#125—28no—
853#125—28no—
854#125—44no—
855#125—44no—
856#125—44no—
857#125—48no—
858#125—48no—
859#125C2×Q818yes—
860#124C2×Q818yes—
861#123C2×Q8116yes—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—44no—
867C22⋊Q8—48no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—42no—
871C22⋊Q8—44no—
872C22⋊Q8—42no—
873C22⋊Q8—44no—
874C22⋊Q8C2×Q818yes—
875#121C2×Q818yes—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—48no—
882C4×Q8—48no—
883C4×Q8—48no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8C2×Q818yes—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4C2×Q818yes—
896C4×D4C2×Q8116yes—
897#117—44no—
898#117—44no—
899#117—44no—
900#117C2×Q8116yes—
901C2×C4⋊C4—44no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4—48no—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C42—24no—
1017C2×C42—24no—
1018C2×C42—44no—
1019C2×C42—42no—
1020C2×C42—42no—
1021C2×C42—42no—
1022C2×C42—42no—
1023C2×C42C2×Q818yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2512yes—
1154C24C2511yescharacteristic
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—28no—
1165C2×Q8—28no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8C22×Q814yes—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4C22×Q814yes—
1184C2×D4C22×Q818yes—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4C22×Q814yes—
1218C22×C4C22×Q814yes—
1219C22×C4C22×Q814yes—
1220C22×C4C22×Q818yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4C22×Q818yes—
1336C4⋊C4C22×Q818yes—
1337C4⋊C4C22×Q814yes—
1338C4⋊C4C22×Q818yes—
1339C4⋊C4C22×Q814yes—
1340C4⋊C4C22×Q818yes—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4C22×Q818yes—
1362C22⋊C4C22×Q818yes—
1363C22⋊C4C22×Q818yes—
1364C22⋊C4C22×Q818yes—
1365C22⋊C4C22×Q818yes—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—24no—
1388C42—42no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—42no—
1393C42—41no—
1394C42—41no—
1395C42—41no—
1396C42—41no—
1397C42—41no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42—44no—
1408C42C22×Q814yes—
1409C42C22×Q814yes—
1410C42C22×Q814yes—
1411C42C22×Q814yes—
1412C42C22×Q818yes—
1413C42H(5,𝔽2)14yes—
1414C422−1+414yes—
1415C23—22no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23—22no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23C23×Q814yes—
1428C23C23×Q812yes—
1429C23C2611yescharacteristic
1430Q8—28no—
1431Q8—44no—
1432Q8—44no—
1433Q8—84no—
1434Q8—88no—
1435Q8—88no—
1436Q8—88no—
1437Q8—164no—
1438D4—28no—
1439D4—48no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—28no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—48no—
1529C2×C4—84no—
1530C2×C4—88no—
1531C2×C4—164no—
1532C2×C4C23×Q812yes—
1533C2×C4C23×Q812yes—
1534C2×C4C23×Q812yes—
1535C2×C4C23×Q812yes—
1536C2×C4C23×Q812yes—
1537C2×C4C23×Q814yes—
1538C2×C4C23×Q814yes—
1539C2×C4C23×Q814yes—
1540C2×C4C23×Q812yes—
1541C2×C4C2×H(5,𝔽2)12yes—
1542C2×C4C2×H(5,𝔽2)12yes—
1543C2×C4C2×H(5,𝔽2)12yes—
1544C2×C4C2×2−1+412yes—
1545C2×C4C2×2−1+412yes—
1546C2×C4C2×2−1+412yes—
1547C2×C4#58512yes—
1548C2×C4#58512yes—
1549C2×C4#58512yes—
1550C2×C4#58512yes—
1551C22—22no—
1552C22—24no—
1553C22—22no—
1554C22—24no—
1555C22—22no—
1556C22—24no—
1557C22—42no—
1558C22—41no—
1559C22—41no—
1560C22—42no—
1561C22—41no—
1562C22—42no—
1563C22—41no—
1564C22—42no—
1565C22C24×Q811yescharacteristic
1566C22C22×H(5,𝔽2)11yescharacteristic
1567C22C22×2−1+411yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—24no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—24no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—44no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—44no—
1597C4—44no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4#350314yes—
1604C4#356514yes—
1605C2—42no—
1606C2—44no—
1607C2C2×#356511yescharacteristic
1608C2#6274811yescharacteristic
1609C2C2×#350311yescharacteristic
1610C2#6281311yescharacteristic
1611C2#6281311yescharacteristic
1612C2#6283011yescharacteristic
1613C2#6283811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59259C2semidirect
2. #59245C2semidirect
6. #59152C2semidirect
7. #45798C2semidirect
8. #45502C2semidirect
9. #45501C2semidirect
10. #39978C2semidirect
11. #39977C2semidirect
12. #39969C2semidirect
13. #39707C2semidirect
14. #39661C2semidirect
15. #39660C2semidirect
16. #39638C2semidirect
17. #39633C2semidirect
18. #39633C2semidirect
19. #39625C2semidirect
20. #39625C2semidirect
21. #39613C2semidirect
22. #37567C2semidirect
23. #36754C2semidirect
24. #36645C2semidirect
25. #36635C2semidirect
26. #36480C2semidirect
27. #36477C2semidirect
28. #36466C2semidirect
29. #36285C2semidirect
30. #36280C2semidirect
31. #36261C2semidirect
32. #35177C2semidirect
33. #35017C2semidirect
317. #529Q8semidirect

Maximal subgroups

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

subgroupindex
#592592
#592452
#592302
#592142
#591532
#591522
#457982
#455022
#455012
#399782
#399772
#399692
#397072
#396612
#396602
#396382
#396332
#396252
#396132
#375672
#367542
#366452
#366352
#364802
#364772
#364662
#362852
#362802
#362612
#351772
#350172
#343922
C4×#5292