Finite Group Databasebeta

← #7681154

Subgroups — #7681154

Order 512.

4500 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59669C212yesmaximal, complemented
2#59668C212yesmaximal, complemented
3#59664C214yesmaximal
4#59662C214yesmaximal
5#59587C212yesmaximal, complemented
6#59467C212yesmaximal, complemented
7#45281C212yesmaximal, complemented
8#45280C212yesmaximal, complemented
9#45223C212yesmaximal, complemented
10#45044C212yesmaximal, complemented
11#43556C214yesmaximal
12#43130C214yesmaximal
13#39683C212yesmaximal, complemented
14#39682C212yesmaximal, complemented
15#39681C212yesmaximal, complemented
16#39680C212yesmaximal, complemented
17#39641C212yesmaximal, complemented
18#39637C212yesmaximal, complemented
19#36567C212yesmaximal, complemented
20#36563C212yesmaximal, complemented
21#35585C211yesmaximal, characteristic
22#35566C211yesmaximal, characteristic
23#35566C211yesmaximal, characteristic
24#35555C211yesmaximal, characteristic
25#35275C211yesmaximal, characteristic
26#35265C211yesmaximal, characteristic
27#35265C211yesmaximal, characteristic
28#34815C211yesmaximal, characteristic
29C2×#2507C211yesmaximal, characteristic
30#34272C211yesmaximal, characteristic
31#34272C211yesmaximal, characteristic
32#34272C211yesmaximal, characteristic
33#34271C211yesmaximal, characteristic
34#34145C211yesmaximal, characteristic
35C4×#544C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#533C2211yescharacteristic
40#2868C2212yes—
41#2864C2212yes—
42#2864C2212yes—
43#2859C2212yes—
44#2859C2212yes—
45#2859C2212yes—
46#2809C2214yes—
47#2809C2214yes—
48#2806C2214yes—
49#2806C2214yes—
50#2805C2214yes—
51#2805C2214yes—
52#2802C2214yes—
53#2802C2214yes—
54#2799C2214yes—
55#2799C2214yes—
56#2791C2214yes—
57#2791C2214yes—
58#2791C2214yes—
59#2791C2214yes—
60#2791C2214yes—
61#2791C2214yes—
62#2774C2214yes—
63#2774C2214yes—
64#2755C2214yes—
65#2755C2214yes—
66#2726C2214yes—
67#2726C2214yes—
68#2713C2214yes—
69#2713C2214yes—
70#2660C2212yes—
71#2660C2212yes—
72#2647C2212yes—
73#2647C2212yes—
74#2647C2212yes—
75#2647C2212yes—
76#2590C2214yes—
77#2590C2214yes—
78#2590C2214yes—
79#2590C2214yes—
80#2588C2214yes—
81#2588C2214yes—
82#2585C2214yes—
83#2585C2214yes—
84#2585C2214yes—
85#2585C2214yes—
86#2584C2212yes—
87#2584C2212yes—
88#2584C2212yes—
89#2584C2214yes—
90#2584C2212yes—
91#2582C2214yes—
92#2581C2214yes—
93#2570C2212yes—
94#2570C2212yes—
95#2569C2214yes—
96#2567C2212yes—
97#2567C2212yes—
98#2565C2214yes—
99#2552C2212yes—
100#2552C2214yes—
101#2552C2212yes—
102#2552C2212yes—
103#2552C2212yes—
104#2552C2212yes—
105#2552C2212yes—
106#2551C2212yes—
107#2551C2212yes—
108#2551C2212yes—
109#2551C2212yes—
110#2550C2214yes—
111#2550C2214yes—
112#2550C2212yes—
113#2550C2212yes—
114#2550C2214yes—
115#2550C2212yes—
116#2550C2212yes—
117#2549C2214yes—
118#2549C2214yes—
119#2546C2212yes—
120#2546C2212yes—
121#2546C2214yes—
122#2546C2214yes—
123#2520C2214yes—
124#2520C2214yes—
125#2509C2211yescharacteristic
126#2509C2212yes—
127#2509C2212yes—
128#2509C2211yescharacteristic
129#2509C2212yes—
130#2509C2212yes—
131#2508C2212yes—
132#2508C2212yes—
133#2508C2211yescharacteristic
134#2508C2211yescharacteristic
135#2508C2214yes—
136#2508C2212yes—
137#2508C2212yes—
138#2507C2212yes—
139#2507C2212yes—
140#2507C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2507C2212yes—
146#2507C2212yes—
147#2507C2212yes—
148#2507C2212yes—
149#2507C2212yes—
150#2507C2211yescharacteristic
151#2507C2212yes—
152#2507C2212yes—
153#2507C2211yescharacteristic
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2506C2214yes—
159#2506C2212yes—
160#2506C2212yes—
161#2506C2211yescharacteristic
162#2506C2211yescharacteristic
163#2505C2214yes—
164#2505C2214yes—
165#2505C2212yes—
166#2505C2212yes—
167#2473C2212yes—
168#2473C2214yes—
169#2473C2214yes—
170#2473C2214yes—
171#2473C2214yes—
172#2473C2212yes—
173#2462C2214yes—
174#2462C2214yes—
175#2462C2214yes—
176#2462C2214yes—
177#2453C2214yes—
178#2453C2214yes—
179#2453C2214yes—
180#2451C2214yes—
181#2451C2214yes—
182#2451C2214yes—
183#2446C2214yes—
184#2446C2214yes—
185#2442C2214yes—
186#2440C2214yes—
187#2440C2214yes—
188#2440C2214yes—
189#2440C2214yes—
190#2402C2212yes—
191#2402C2212yes—
192C2×#398C2212yes—
193C2×#398C2212yes—
194#2370C2212yes—
195#2370C2212yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2214yes—
199#2370C2214yes—
200#2370C2211yescharacteristic
201#2370C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2211yescharacteristic
207#2370C2212yes—
208#2370C2212yes—
209#2370C2212yes—
210#2369C2212yes—
211#2369C2212yes—
212#2369C2211yescharacteristic
213#2369C2212yes—
214#2369C2212yes—
215#2369C2212yes—
216#2369C2211yescharacteristic
217#2368C2214yes—
218#2368C2214yes—
219#2368C2214yes—
220#2368C2212yes—
221#2368C2212yes—
222#2365C2212yes—
223#2365C2212yes—
224#2365C2212yes—
225#2365C2212yes—
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2360C2212yes—
230#2360C2214yes—
231#2360C2214yes—
232#2360C2214yes—
233#2360C2212yes—
234#2355C2214yes—
235Q8×C4⋊C4C2214yes—
236#2331C2212yes—
237#2331C2212yes—
238#2331C2212yes—
239#2331C2212yes—
240#2331C2212yes—
241#2330C2212yes—
242#2330C2212yes—
243#2330C2212yes—
244#2330C2212yes—
245#2330C2212yes—
246#2329C2214yes—
247#2329C2214yes—
248#2317C2211yescharacteristic
249#2317C2211yescharacteristic
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2316C2211yescharacteristic
255#2316C2211yescharacteristic
256#2316C2211yescharacteristic
257C4×C4⋊Q8C2212yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×#125C2212yes—
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×C22⋊Q8C2214yes—
270C4×C22⋊Q8C2214yes—
271#2296C2211yescharacteristic
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2295C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280C2×#389C2211yescharacteristic
281C2×#389C2212yes—
282C2×#389C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#387C2212yes—
286#2285C2211yescharacteristic
287C2×#384C2211yescharacteristic
288#2274C2211yescharacteristic
289#2274C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2211yescharacteristic
292C42×Q8C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#544—28no—
300#544—28no—
301#544Q8116yescomplemented
302#533—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2314yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2314yes—
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
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#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
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#391C2314yes—
449#391C2314yes—
450#391C2314yes—
451#391C2314yes—
452#391C2314yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#389C2311yescharacteristic
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2314yes—
680#384C2314yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2314yes—
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2314yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#380C2312yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2311yescharacteristic
806C2×#95C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2312yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—28no—
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835C4⋊Q8—28no—
836C4⋊Q8—84no—
837C4⋊Q8—84no—
838C4⋊Q8—84no—
839C4⋊Q8—84no—
840C4⋊Q8C2×Q8116yes—
841C4⋊Q8C2×Q8116yes—
842#125—24no—
843#125—24no—
844#125—28no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—28no—
849#125—48no—
850#125—44no—
851#125—84no—
852#125—84no—
853#125—84no—
854#125—84no—
855#125C2×Q8116yes—
856#125C2×Q8116yes—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—216no—
860C22⋊Q8—216no—
861C22⋊Q8C2×Q8132yes—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—44no—
866C4×Q8—48no—
867C4×Q8—84no—
868C4×Q8—84no—
869C4×Q8—84no—
870C4×Q8—84no—
871#117—24no—
872#117—24no—
873#117—24no—
874#117—24no—
875#117—24no—
876#117C2×Q818yes—
877#117C2×Q818yes—
878#117#4118yes—
879C2×C4⋊C4—24no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—24no—
882C2×C4⋊C4—24no—
883C2×C4⋊C4—42no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4—82no—
886C2×C4⋊C4—82no—
887C2×C4⋊C4—82no—
888C2×C4⋊C4—82no—
889C2×C4⋊C4—82no—
890C2×C4⋊C4C2×Q818yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—24no—
1007C2×C42—82no—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2414yes—
1059#95C2414yes—
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
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#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2511yescharacteristic
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—28no—
1146C2×Q8—28no—
1147C2×Q8—24no—
1148C2×Q8—42no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8C22×Q8116yes—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—41no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4C22×Q818yes—
1188C22×C4C22×Q814yes—
1189C22×C4C2×#4114yes—
1190C22×C42−1+414yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—28no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—44no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
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—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4C22×Q818yes—
1319C4⋊C4C22×Q818yes—
1320C4⋊C4C22×Q814yes—
1321C4⋊C4C22×Q814yes—
1322C4⋊C4C22×Q814yes—
1323C4⋊C4C22×Q814yes—
1324C4⋊C4C22×Q8116yes—
1325C4⋊C4C22×Q8116yes—
1326C4⋊C4C22×Q8116yes—
1327C4⋊C4C2×#4114yes—
1328C4⋊C4C2×#4114yes—
1329C4⋊C42−1+414yes—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4C22×Q818yes—
1336C22⋊C4C22×Q818yes—
1337C22⋊C4C2×#4118yes—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—44no—
1370C42—42no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42—44no—
1377C42—42no—
1378C42—42no—
1379C42—42no—
1380C42—42no—
1381C42C22×Q818yes—
1382C42C22×Q818yes—
1383C42C2×#4118yes—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23C23×Q812yes—
1389C23C22×#4112yes—
1390C23C2×2−1+412yes—
1391C23C2611yescharacteristic
1392Q8—416no—
1393Q8—48no—
1394Q8—88no—
1395Q8—88no—
1396Q8—84no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—48no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—82no—
1488C2×C4—84no—
1489C2×C4—84no—
1490C2×C4—82no—
1491C2×C4—84no—
1492C2×C4#557116yes—
1493C2×C4C23×Q814yes—
1494C2×C4C23×Q814yes—
1495C2×C4C23×Q814yes—
1496C2×C4C23×Q814yes—
1497C2×C4C23×Q818yes—
1498C2×C4C23×Q812yes—
1499C2×C4C23×Q812yes—
1500C2×C4C22×#4114yes—
1501C2×C4C22×#4114yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4#58512yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22C2×#55714yes—
1517C22C24×Q811yescharacteristic
1518C22C23×#4111yescharacteristic
1519C22C22×2−1+411yescharacteristic
1520C22C22×2−1+411yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22H(7,𝔽2)11yescharacteristic
1523C22H(7,𝔽2)11yescharacteristic
1524C4—28no—
1525C4—24no—
1526C4—24no—
1527C4—24no—
1528C4—24no—
1529C4—22no—
1530C4—24no—
1531C4—24no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—42no—
1536C4—42no—
1537C4—41no—
1538C4—42no—
1539C4—41no—
1540C4—44no—
1541C4—44no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—44no—
1556C4C2×#55714yes—
1557C4C2×#55714yes—
1558C2—24no—
1559C2C22×#55711yescharacteristic
1560C2#6280511yescharacteristic
1561C2#6285811yescharacteristic
1562C2#6294511yescharacteristic
1563C2#6295811yescharacteristic
1564C2#6298911yescharacteristic
1565C2Q8×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59669C2semidirect
2. #59668C2semidirect
5. #59587C2semidirect
6. #59467C2semidirect
7. #45281C2semidirect
8. #45280C2semidirect
9. #45223C2semidirect
10. #45044C2semidirect
13. #39683C2semidirect
14. #39682C2semidirect
15. #39681C2semidirect
16. #39680C2semidirect
17. #39641C2semidirect
18. #39637C2semidirect
19. #36567C2semidirect
20. #36563C2semidirect
301. #544Q8semidirect

Maximal subgroups

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

subgroupindex
#596692
#596682
#596642
#596622
#595872
#594672
#452812
#452802
#452232
#450442
#435562
#431302
#396832
#396822
#396812
#396802
#396412
#396372
#365672
#365632
#355852
#355662
#355552
#352752
#352652
#348152
C2×#25072
#342722
#342712
#341452
C4×#5442