Finite Group Databasebeta

← #7711391

Subgroups — #7711391

Order 512.

4760 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59918C212yesmaximal, complemented
2#59867C212yesmaximal, complemented
3#59661C214yesmaximal, complemented
4#45500C212yesmaximal, complemented
5#45499C212yesmaximal, complemented
6#45496C214yesmaximal, complemented
7#39711C212yesmaximal, complemented
8#39709C212yesmaximal, complemented
9#39679C212yesmaximal, complemented
10#39678C212yesmaximal, complemented
11#39667C212yesmaximal, complemented
12#39665C212yesmaximal, complemented
13#39640C211yesmaximal, characteristic, complemented
14#39639C211yesmaximal, characteristic, complemented
15#39624C211yesmaximal, characteristic, complemented
16#39623C211yesmaximal, characteristic, complemented
17#38103C214yesmaximal, complemented
18#38097C214yesmaximal
19#37478C212yesmaximal
20#37194C212yesmaximal, complemented
21#37135C212yesmaximal, complemented
22#36625C211yesmaximal, characteristic
23C2×#2855C211yesmaximal, characteristic
24#36193C212yesmaximal, complemented
25#36190C212yesmaximal
26#36133C212yesmaximal, complemented
27#36130C212yesmaximal
28#35179C212yesmaximal, complemented
29#35015C212yesmaximal, complemented
30#34359C212yesmaximal
31C2×C4×C22⋊Q8C211yesmaximal, characteristic
32C2×#533C2211yescharacteristic
33C2×#533C2212yes—
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C22×C4×Q8C2211yescharacteristic
37C23×C42C2211yescharacteristic
38#2857C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2212yes—
43#2857C2212yes—
44#2855C2212yes—
45#2855C2212yes—
46#2855C2212yes—
47#2855C2212yes—
48#2855C2212yes—
49#2855C2212yes—
50#2855C2212yes—
51#2855C2212yes—
52#2855C2212yes—
53#2855C2212yes—
54#2855C2212yes—
55#2855C2212yes—
56#2851C2212yes—
57#2851C2212yes—
58#2848C2212yes—
59#2848C2212yes—
60#2841C2214yes—
61#2841C2214yes—
62#2811C2212yescomplemented
63#2809C2212yescomplemented
64#2809C2214yescomplemented
65#2807C2214yes—
66#2806C2214yescomplemented
67#2806C2214yescomplemented
68#2806C2212yescomplemented
69#2806C2212yescomplemented
70#2806C2212yescomplemented
71#2806C2214yescomplemented
72#2805C2212yescomplemented
73#2805C2214yescomplemented
74#2802C2214yescomplemented
75#2802C2214yescomplemented
76#2802C2214yescomplemented
77#2799C2214yescomplemented
78#2799C2214yescomplemented
79#2799C2214yescomplemented
80#2792C2214yescomplemented
81#2792C2214yescomplemented
82#2791C2214yescomplemented
83#2791C2214yescomplemented
84#2790C2214yes—
85#2790C2214yes—
86#2788C2214yes—
87#2774C2214yescomplemented
88#2774C2214yescomplemented
89#2768C2214yes—
90#2763C2214yes—
91#2755C2214yescomplemented
92#2755C2214yescomplemented
93#2734C2212yescomplemented
94#2729C2214yes—
95#2726C2212yescomplemented
96#2720C2214yes—
97#2713C2214yescomplemented
98#2667C2214yes—
99#2665C2214yes—
100#2659C2212yes—
101#2659C2212yes—
102#2646C2212yes—
103#2646C2212yes—
104#2646C2214yes—
105#2627C2214yes—
106#2627C2214yes—
107#2627C2214yes—
108#2590C2214yescomplemented
109#2590C2214yescomplemented
110#2590C2214yescomplemented
111#2588C2214yescomplemented
112#2588C2214yescomplemented
113#2588C2214yescomplemented
114#2586C2214yescomplemented
115#2585C2214yescomplemented
116#2583C2214yes—
117#2582C2212yescomplemented
118#2582C2212yescomplemented
119#2582C2212yescomplemented
120#2582C2212yescomplemented
121#2581C2214yescomplemented
122#2581C2214yescomplemented
123#2574C2214yes—
124#2569C2214yes—
125#2569C2214yes—
126#2568C2212yescomplemented
127#2568C2212yescomplemented
128#2567C2212yescomplemented
129#2567C2212yescomplemented
130#2567C2212yescomplemented
131#2565C2214yescomplemented
132#2565C2214yescomplemented
133#2556C2214yes—
134#2552C2212yescomplemented
135#2551C2212yescomplemented
136#2549C2214yes—
137#2549C2214yes—
138#2549C2214yes—
139#2546C2212yescomplemented
140#2522C2214yes—
141#2520C2214yescomplemented
142#2520C2214yescomplemented
143#2520C2214yescomplemented
144#2520C2214yescomplemented
145#2511C2214yescomplemented
146#2511C2212yescomplemented
147#2511C2212yescomplemented
148#2511C2212yescomplemented
149#2511C2212yescomplemented
150#2508C2214yescomplemented
151#2507C2214yescomplemented
152#2507C2212yescomplemented
153#2507C2212yescomplemented
154#2507C2212yescomplemented
155#2507C2212yescomplemented
156#2506C2214yescomplemented
157#2505C2214yes—
158#2505C2214yes—
159#2505C2214yes—
160#2505C2214yes—
161#2502C2214yes—
162#2502C2212yes—
163#2497C2212yes—
164#2497C2212yes—
165#2492C2212yes—
166#2492C2212yes—
167#2473C2214yes—
168#2473C2214yes—
169#2465C2214yes—
170#2462C2214yescomplemented
171#2462C2214yescomplemented
172#2451C2212yescomplemented
173#2451C2212yescomplemented
174#2451C2212yescomplemented
175#2451C2212yescomplemented
176#2446C2212yescomplemented
177#2446C2212yescomplemented
178#2446C2212yescomplemented
179#2446C2212yescomplemented
180#2442C2214yes—
181#2440C2214yes—
182#2440C2212yes—
183#2440C2212yes—
184#2440C2214yes—
185#2438C2214yes—
186#2438C2214yes—
187#2438C2214yes—
188#2438C2214yes—
189#2438C2214yes—
190#2438C2214yes—
191#2437C2214yes—
192#2437C2214yes—
193#2434C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2423C2212yes—
197#2423C2212yes—
198#2378C2214yes—
199#2378C2214yes—
200#2370C2214yescomplemented
201#2369C2212yescomplemented
202#2368C2214yes—
203#2368C2214yes—
204#2368C2214yes—
205#2365C2214yescomplemented
206#2365C2212yescomplemented
207#2360C2214yes—
208#2360C2212yes—
209#2360C2212yes—
210#2355C2212yescomplemented
211Q8×C4⋊C4C2212yescomplemented
212#2345C2212yes—
213#2344C2214yes—
214#2344C2214yes—
215#2342C2214yes—
216#2342C2214yes—
217Q8×C22⋊C4C2212yes—
218#2332C2214yes—
219#2332C2214yes—
220#2329C2212yes—
221#2329C2212yes—
222#2329C2212yes—
223#2329C2212yes—
224#2329C2214yes—
225#2317C2214yes—
226#2313C2214yes—
227#2310C2214yes—
228C4×C22⋊Q8C2212yes—
229C4×C22⋊Q8C2212yes—
230C4×C22⋊Q8C2212yes—
231C4×C22⋊Q8C2212yes—
232C4×C22⋊Q8C2212yes—
233C4×C22⋊Q8C2212yes—
234C4×C22⋊Q8C2211yescharacteristic
235C4×C22⋊Q8C2211yescharacteristic
236C4×C22⋊Q8C2212yes—
237C4×C22⋊Q8C2212yes—
238C4×C22⋊Q8C2212yes—
239C4×C22⋊Q8C2212yes—
240C4×C22⋊Q8C2211yescharacteristic
241C4×C22⋊Q8C2211yescharacteristic
242C4×C22⋊Q8C2211yescharacteristic
243C4×C22⋊Q8C2211yescharacteristic
244C4×C22⋊Q8C2211yescharacteristic
245C4×C22⋊Q8C2211yescharacteristic
246#2296C2212yes—
247C2×#391C2211yescharacteristic
248C2×#391C2211yescharacteristic
249C2×#391C2211yescharacteristic
250C2×#389C2211yescharacteristic
251C2×#389C2211yescharacteristic
252C2×#389C2211yescharacteristic
253C2×#387C2212yes—
254C2×#387C2212yes—
255C2×#387C2212yes—
256C2×#385C2212yes—
257C2×#385C2212yes—
258#2285C2211yescharacteristic
259#2285C2212yes—
260#2280C2212yes—
261C2×#381C2212yes—
262C2×#380C2211yescharacteristic
263C2×#380C2211yescharacteristic
264C2×C4×C4⋊C4C2212yes—
265C2×C4×C4⋊C4C2211yescharacteristic
266C2×C4×C22⋊C4C2212yes—
267C23×Q8C2311yescharacteristic
268C23×Q8C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272#533—48no—
273#533—44no—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2314yes—
281C2×#125C2314yes—
282C2×#125C2312yes—
283C2×#125C2314yes—
284C2×C22⋊Q8—44no—
285C2×C22⋊Q8Q8116yescomplemented
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2312yes—
306C2×C4×Q8—44no—
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2312yes—
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2312yes—
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2314yes—
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2312yes—
317C2×C4×Q8C2312yes—
318C2×C4×Q8C2312yes—
319C2×C4×Q8C2312yes—
320C2×#117C2314yes—
321C2×#117C2314yes—
322C2×#117C2312yes—
323C2×#117C2312yes—
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2312yes—
326C22×C4⋊C4C2312yes—
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2312yes—
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2312yes—
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C42—44no—
341C22×C42C2311yescharacteristic
342C22×C42C2311yescharacteristic
343C22×C42C2312yes—
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2312yes—
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#399C2314yes—
376#399C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
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#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#393C2314yes—
434#393C2314yes—
435#391C2314yes—
436#391C2314yes—
437#391C2314yes—
438#391C2314yes—
439#391C2314yes—
440#391C2314yes—
441#391C2314yes—
442#391C2314yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2314yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2312yes—
458#391C2314yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
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#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2312yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2312yes—
629#385C2312yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2312yes—
634#385C2312yes—
635#384C2314yes—
636#384C2314yes—
637#384C2311yescharacteristic
638#384C2312yes—
639#384C2312yes—
640#384C2311yescharacteristic
641#384C2312yes—
642#384C2312yes—
643#384C2314yes—
644#382C2314yes—
645#382C2314yes—
646#382C2314yes—
647#382C2312yes—
648#382C2314yes—
649#381C2314yes—
650#381C2314yes—
651#381C2314yes—
652#381C2314yes—
653#381C2314yes—
654#381C2314yes—
655#381C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2311yescharacteristic
679#380C2311yescharacteristic
680#380C2311yescharacteristic
681#380C2311yescharacteristic
682#379C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C2×#95C2312yes—
729C2×#95C2312yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C2×#95C2312yes—
738C2×#95C2312yes—
739C2×#95C2312yes—
740C25C2411yescharacteristic
741C22×Q8—24no—
742C22×Q8—42no—
743C22×Q8—42no—
744C22×Q8—42no—
745C22×Q8—42no—
746C22×Q8C2×Q818yescomplemented
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×Q8C2414yes—
752C22×Q8C2414yes—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C23×C4—24no—
757C23×C4—24no—
758C23×C4—42no—
759C23×C4—42no—
760C23×C4—42no—
761C23×C4—42no—
762C23×C4—42no—
763C23×C4—42no—
764C23×C4C2×Q818yes—
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C4⋊Q8—44no—
792C4⋊Q8—42no—
793C4⋊Q8—44no—
794C4⋊Q8—44no—
795C4⋊Q8—42no—
796C4⋊Q8—44no—
797C4⋊Q8—48no—
798#125—44no—
799#125—48no—
800#125—48no—
801C22⋊Q8—28no—
802C22⋊Q8—28no—
803C22⋊Q8—28no—
804C22⋊Q8—44no—
805C22⋊Q8—48no—
806C22⋊Q8—48no—
807C22⋊Q8—48no—
808C22⋊Q8—44no—
809C22⋊Q8—48no—
810C22⋊Q8—44no—
811C22⋊Q8—44no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—44no—
815C22⋊Q8C2×Q818yes—
816C22⋊Q8C2×Q818yes—
817C22⋊Q8C2×Q8116yes—
818C22⋊Q8C2×Q818yescomplemented
819C22⋊Q8C2×Q818yescomplemented
820C22⋊Q8C2×Q8116yescomplemented
821C4×Q8—42no—
822C4×Q8—42no—
823C4×Q8—44no—
824C4×Q8—44no—
825C4×Q8—42no—
826C4×Q8—42no—
827C4×Q8—44no—
828C4×Q8—48no—
829C4×Q8—44no—
830C4×Q8—44no—
831C4×Q8—44no—
832C4×Q8—44no—
833C4×Q8—44no—
834#117—48no—
835#117—44no—
836#117—48no—
837#117—44no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—42no—
840C2×C4⋊C4—44no—
841C2×C4⋊C4—44no—
842C2×C4⋊C4—44no—
843C2×C4⋊C4—42no—
844C2×C4⋊C4—42no—
845C2×C4⋊C4—44no—
846C2×C4⋊C4—42no—
847C2×C4⋊C4—44no—
848C2×C4⋊C4C2×Q8116yescomplemented
849C2×C4⋊C4C2×Q818yescomplemented
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C22⋊C4—44no—
926C2×C22⋊C4—44no—
927C2×C22⋊C4—44no—
928C2×C22⋊C4C2×Q8116yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C42—28no—
948C2×C42—24no—
949C2×C42—24no—
950C2×C42—42no—
951C2×C42—42no—
952C2×C42—42no—
953C2×C42—42no—
954C2×C42—42no—
955C2×C42—42no—
956C2×C42—42no—
957C2×C42—42no—
958C2×C42—44no—
959C2×C42—42no—
960C2×C42—42no—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967C2×C42C2411yescharacteristic
968C2×C42C2411yescharacteristic
969C2×C42C2411yescharacteristic
970C2×C42C2411yescharacteristic
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2411yescharacteristic
974C2×C42C2411yescharacteristic
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—41no—
1072C24—41no—
1073C24C22×Q814yes—
1074C24C2511yescharacteristic
1075C24C2511yescharacteristic
1076C24C2511yescharacteristic
1077C2×Q8—24no—
1078C2×Q8—24no—
1079C2×Q8—24no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—41no—
1086C2×Q8—42no—
1087C2×Q8—41no—
1088C2×Q8—416no—
1089C2×Q8—41no—
1090C2×Q8—42no—
1091C2×Q8—41no—
1092C2×Q8—42no—
1093C2×Q8—44no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×Q8—44no—
1098C2×Q8—42no—
1099C2×Q8—44no—
1100C2×Q8—44no—
1101C2×Q8—44no—
1102C2×Q8—88no—
1103C2×Q8C22×Q814yes—
1104C2×Q8C22×Q814yes—
1105C2×Q8C22×Q818yes—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—24no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—24no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—416no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—416no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—416no—
1177C22×C4C22×Q818yes—
1178C22×C4C22×Q814yes—
1179C22×C4C22×Q814yes—
1180C22×C4C22×Q818yes—
1181C22×C4C22×Q814yes—
1182C22×C4C22×Q814yes—
1183C22×C4C22×Q814yes—
1184C22×C4C22×Q814yes—
1185C22×C4H(5,𝔽2)14yes—
1186C22×C42−1+414yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2514yes—
1189C22×C4C2514yes—
1190C22×C4C2512yes—
1191C22×C4C2514yes—
1192C22×C4C2514yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—41no—
1233C4⋊C4—42no—
1234C4⋊C4—41no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—41no—
1241C4⋊C4—42no—
1242C4⋊C4—41no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4C22×Q814yes—
1284C4⋊C4C22×Q814yes—
1285C4⋊C4C22×Q818yes—
1286C4⋊C4C22×Q818yes—
1287C4⋊C4C22×Q818yes—
1288C4⋊C4C22×Q818yes—
1289C4⋊C4C22×Q818yes—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4C22×Q818yes—
1305C22⋊C4C22×Q818yes—
1306C22⋊C4C22×Q818yes—
1307C22⋊C4C22×Q818yes—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—24no—
1317C42—24no—
1318C42—24no—
1319C42—24no—
1320C42—24no—
1321C42—24no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—42no—
1331C42—42no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—28no—
1357C23—28no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23C23×Q812yes—
1364C23C23×Q812yes—
1365C23C23×Q812yes—
1366C23C2×H(5,𝔽2)12yes—
1367C23C2×2−1+412yes—
1368C23#58512yes—
1369C23#58512yes—
1370C23C2611yescharacteristic
1371Q8—44no—
1372Q8—48no—
1373Q8—44no—
1374Q8—48no—
1375Q8—48no—
1376Q8—84no—
1377Q8—84no—
1378Q8—88no—
1379Q8—164no—
1380C2×C4—21no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—28no—
1403C2×C4—28no—
1404C2×C4—216no—
1405C2×C4—28no—
1406C2×C4—28no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—24no—
1420C2×C4—21no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—44no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—48no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—84no—
1471C2×C4—84no—
1472C2×C4—84no—
1473C2×C4—84no—
1474C2×C4—84no—
1475C2×C4—84no—
1476C2×C4C23×Q814yes—
1477C2×C4C23×Q814yes—
1478C2×C4C23×Q814yes—
1479C2×C4C23×Q814yes—
1480C2×C4C23×Q812yes—
1481C2×C4C23×Q812yes—
1482C2×C4C23×Q812yes—
1483C2×C4C23×Q812yes—
1484C2×C4C2×H(5,𝔽2)12yes—
1485C2×C4C2×H(5,𝔽2)12yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4#58512yes—
1489C2×C4#58512yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—416no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22#350114yes—
1511C22#350214yes—
1512C22C24×Q811yescharacteristic
1513C22C22×H(5,𝔽2)11yescharacteristic
1514C22C22×2−1+411yescharacteristic
1515C22C2×#58511yescharacteristic
1516C22C2×#58511yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—24no—
1527C4—24no—
1528C4—24no—
1529C4—24no—
1530C4—41no—
1531C4—44no—
1532C4—44no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—42no—
1537C4—44no—
1538C4—42no—
1539C4—44no—
1540C4—42no—
1541C4—44no—
1542C4—42no—
1543C4—44no—
1544C4—44no—
1545C4—44no—
1546C4#353514yes—
1547C2—24no—
1548C2—24no—
1549C2—42no—
1550C2C2×#353511yescharacteristic
1551C2#6272911yescharacteristic
1552C2C2×#350111yescharacteristic
1553C2C2×#350211yescharacteristic
1554C2#6281311yescharacteristic
1555C2#6282811yescharacteristic
1556C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59918C2semidirect
2. #59867C2semidirect
3. #59661C2semidirect
4. #45500C2semidirect
5. #45499C2semidirect
6. #45496C2semidirect
7. #39711C2semidirect
8. #39709C2semidirect
9. #39679C2semidirect
10. #39678C2semidirect
11. #39667C2semidirect
12. #39665C2semidirect
13. #39640C2semidirect
14. #39639C2semidirect
15. #39624C2semidirect
16. #39623C2semidirect
17. #38103C2semidirect
20. #37194C2semidirect
21. #37135C2semidirect
24. #36193C2semidirect
26. #36133C2semidirect
28. #35179C2semidirect
29. #35015C2semidirect
62. #2811C22semidirect
63. #2809C22semidirect
64. #2809C22semidirect
66. #2806C22semidirect
67. #2806C22semidirect
68. #2806C22semidirect
69. #2806C22semidirect
70. #2806C22semidirect
71. #2806C22semidirect
72. #2805C22semidirect
73. #2805C22semidirect
74. #2802C22semidirect
75. #2802C22semidirect
76. #2802C22semidirect
77. #2799C22semidirect
78. #2799C22semidirect
79. #2799C22semidirect
80. #2792C22semidirect
81. #2792C22semidirect
82. #2791C22semidirect
83. #2791C22semidirect
87. #2774C22semidirect
88. #2774C22semidirect
91. #2755C22semidirect
92. #2755C22semidirect
93. #2734C22semidirect
95. #2726C22semidirect
97. #2713C22semidirect
108. #2590C22semidirect
109. #2590C22semidirect
110. #2590C22semidirect
111. #2588C22semidirect
112. #2588C22semidirect
113. #2588C22semidirect
114. #2586C22semidirect
115. #2585C22semidirect
117. #2582C22semidirect
118. #2582C22semidirect
119. #2582C22semidirect
120. #2582C22semidirect
121. #2581C22semidirect
122. #2581C22semidirect
126. #2568C22semidirect
127. #2568C22semidirect
128. #2567C22semidirect
129. #2567C22semidirect
130. #2567C22semidirect
131. #2565C22semidirect
132. #2565C22semidirect
134. #2552C22semidirect
135. #2551C22semidirect
139. #2546C22semidirect
141. #2520C22semidirect
142. #2520C22semidirect
143. #2520C22semidirect
144. #2520C22semidirect
145. #2511C22semidirect
146. #2511C22semidirect
147. #2511C22semidirect
148. #2511C22semidirect
149. #2511C22semidirect
150. #2508C22semidirect
151. #2507C22semidirect
152. #2507C22semidirect
153. #2507C22semidirect
154. #2507C22semidirect
155. #2507C22semidirect
156. #2506C22semidirect
170. #2462C22semidirect
171. #2462C22semidirect
172. #2451C22semidirect
173. #2451C22semidirect
174. #2451C22semidirect
175. #2451C22semidirect
176. #2446C22semidirect
177. #2446C22semidirect
178. #2446C22semidirect
179. #2446C22semidirect
200. #2370C22semidirect
201. #2369C22semidirect
205. #2365C22semidirect
206. #2365C22semidirect
210. #2355C22semidirect
211. Q8×C4⋊C4C22semidirect
285. C2×C22⋊Q8Q8semidirect
746. C22×Q8C2×Q8semidirect
818. C22⋊Q8C2×Q8semidirect
819. C22⋊Q8C2×Q8semidirect
820. C22⋊Q8C2×Q8semidirect
848. C2×C4⋊C4C2×Q8semidirect
849. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599182
#598672
#596612
#455002
#454992
#454962
#397112
#397092
#396792
#396782
#396672
#396652
#396402
#396392
#396242
#396232
#381032
#380972
#374782
#371942
#371352
#366252
C2×#28552
#361932
#361902
#361332
#361302
#351792
#350152
#343592
C2×C4×C22⋊Q82