Finite Group Databasebeta

← #7681029

Subgroups — #7681029

Order 512.

4646 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59920C212yesmaximal
2#59871C211yesmaximal, characteristic, complemented
3#59828C211yesmaximal, characteristic, complemented
4#59756C212yesmaximal
5#59667C211yesmaximal, characteristic, complemented
6#59667C211yesmaximal, characteristic, complemented
7#59467C211yesmaximal, characteristic, complemented
8#59467C211yesmaximal, characteristic, complemented
9#59459C211yesmaximal, characteristic, complemented
10#59459C211yesmaximal, characteristic, complemented
11#59152C212yesmaximal
12#59067C212yesmaximal
13#45413C212yesmaximal
14#45272C212yesmaximal
15#45025C212yesmaximal
16#44923C212yesmaximal
17#44419C214yesmaximal, complemented
18#44297C214yesmaximal, complemented
19#39979C212yesmaximal, complemented
20#39974C212yesmaximal, complemented
21#39968C214yesmaximal
22#38457C214yesmaximal
23#36466C212yesmaximal, complemented
24#36283C212yesmaximal, complemented
25#35583C212yesmaximal, complemented
26#35582C212yesmaximal, complemented
27#35208C212yesmaximal, complemented
28#35202C211yesmaximal, characteristic
29#34938C211yesmaximal, characteristic
30#34912C211yesmaximal, characteristic
31#34337C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic
33#34225C211yesmaximal, characteristic
34#34154C211yesmaximal, characteristic
35C4×#544C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#557C2212yes—
38C2×#557C2212yes—
39C2×#544C2211yescharacteristic
40C2×#533C2212yes—
41C2×#533C2211yescharacteristic
42#2864C2212yes—
43#2863C2214yes—
44#2859C2212yes—
45#2859C2214yes—
46#2807C2214yes—
47#2806C2214yes—
48#2805C2214yes—
49#2802C2214yes—
50#2792C2214yes—
51#2792C2214yes—
52#2792C2214yes—
53#2792C2214yes—
54#2791C2214yes—
55#2791C2214yes—
56#2791C2214yes—
57#2790C2214yes—
58#2788C2214yes—
59#2774C2214yes—
60#2726C2214yes—
61#2726C2214yes—
62#2720C2214yes—
63#2720C2214yes—
64#2720C2214yes—
65#2713C2214yes—
66#2713C2214yes—
67#2713C2214yes—
68#2704C2214yes—
69#2677C2214yes—
70#2667C2214yes—
71#2666C2214yes—
72#2666C2214yes—
73#2612C2214yes—
74#2612C2214yes—
75#2608C2212yes—
76#2607C2212yes—
77#2606C2212yes—
78#2606C2214yes—
79#2606C2214yes—
80#2606C2214yes—
81#2605C2214yes—
82#2605C2214yes—
83#2605C2212yes—
84#2590C2214yes—
85#2590C2214yes—
86#2590C2214yes—
87#2589C2214yes—
88#2588C2214yes—
89#2587C2214yes—
90#2586C2214yes—
91#2586C2214yes—
92#2586C2214yes—
93#2586C2214yes—
94#2585C2214yes—
95#2585C2214yes—
96#2584C2214yes—
97#2584C2212yes—
98#2584C2212yes—
99#2584C2212yes—
100#2584C2212yes—
101#2584C2214yes—
102#2582C2212yes—
103#2582C2212yes—
104#2582C2212yes—
105#2581C2212yes—
106#2581C2212yes—
107#2570C2211yescharacteristic
108#2570C2211yescharacteristic
109#2567C2212yes—
110#2567C2212yes—
111#2567C2212yes—
112#2567C2212yes—
113#2567C2212yes—
114#2565C2212yes—
115#2565C2212yes—
116#2556C2214yes—
117#2556C2214yes—
118#2552C2214yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2552C2212yes—
122#2552C2211yescharacteristic
123#2552C2211yescharacteristic
124#2552C2212yes—
125#2552C2211yescharacteristic
126#2552C2211yescharacteristic
127#2552C2212yes—
128#2551C2212yes—
129#2551C2211yescharacteristic
130#2551C2212yes—
131#2551C2211yescharacteristic
132#2551C2214yes—
133#2550C2212yes—
134#2550C2214yes—
135#2550C2212yes—
136#2550C2214yes—
137#2550C2212yes—
138#2550C2211yescharacteristic
139#2550C2211yescharacteristic
140#2550C2212yes—
141#2549C2214yes—
142#2546C2212yes—
143#2522C2214yes—
144#2520C2214yes—
145#2511C2214yes—
146#2509C2212yes—
147#2509C2212yes—
148#2507C2214yes—
149#2507C2214yes—
150#2507C2212yes—
151#2507C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2465C2214yes—
159#2462C2214yes—
160#2462C2214yes—
161#2462C2214yes—
162#2462C2214yes—
163#2462C2214yes—
164#2462C2214yes—
165#2462C2214yes—
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2453C2212yes—
174#2451C2212yes—
175#2451C2212yes—
176#2451C2214yes—
177#2451C2212yes—
178#2451C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2446C2214yes—
182#2446C2214yes—
183#2441C2212yes—
184#2441C2211yescharacteristic
185#2441C2211yescharacteristic
186#2441C2212yes—
187#2441C2212yes—
188#2441C2212yes—
189#2440C2212yes—
190#2440C2212yes—
191#2439C2211yescharacteristic
192#2439C2211yescharacteristic
193#2429C2214yes—
194#2423C2214yes—
195#2399C2214yes—
196#2396C2212yes—
197#2396C2212yes—
198#2371C2214yes—
199#2370C2212yes—
200#2370C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2212yes—
206#2370C2212yes—
207#2369C2212yes—
208#2365C2214yes—
209#2365C2212yes—
210#2365C2211yescharacteristic
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2365C2211yescharacteristic
218#2365C2211yescharacteristic
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2360C2212yes—
226#2360C2212yes—
227#2356C2212yes—
228#2356C2212yes—
229#2351C2212yes—
230#2351C2212yes—
231Q8×C4⋊C4C2214yes—
232Q8×C4⋊C4C2212yes—
233Q8×C4⋊C4C2212yes—
234Q8×C4⋊C4C2212yes—
235Q8×C4⋊C4C2212yes—
236Q8×C4⋊C4C2212yes—
237Q8×C4⋊C4C2212yes—
238#2347C2212yes—
239#2346C2212yes—
240#2343C2214yes—
241#2336C2214yes—
242#2331C2212yes—
243#2331C2211yescharacteristic
244#2331C2211yescharacteristic
245#2330C2212yes—
246#2330C2214yes—
247#2330C2211yescharacteristic
248#2330C2214yes—
249#2330C2212yes—
250#2330C2211yescharacteristic
251#2330C2212yes—
252#2329C2212yes—
253#2329C2212yes—
254#2323C2212yes—
255#2323C2212yes—
256#2320C2212yes—
257#2320C2212yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2214yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2212yes—
273C4×#125C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282#2298C2214yes—
283#2296C2212yes—
284#2295C2214yes—
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2276C2212yes—
292#2276C2212yes—
293C42×Q8C2212yes—
294C42×Q8C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—216no—
300#557—48no—
301#557—48no—
302#544—28no—
303#533—48no—
304#533Q8116yescomplemented
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2314yes—
335C2×#125C2312yes—
336C2×#125C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#399C2314yes—
391#399C2312yes—
392#399C2312yes—
393#399C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
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#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2312yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#393C2312yes—
457#393C2312yes—
458#391C2314yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2314yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2314yes—
700#384C2314yes—
701#384C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2312yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#381C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C43C2314yes—
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C4⋊Q8—28no—
830C4⋊Q8—24no—
831C4⋊Q8—216no—
832C4⋊Q8—28no—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—48no—
840C4⋊Q8—48no—
841C4⋊Q8C2×Q818yes—
842C4⋊Q8C2×Q818yes—
843#125—28no—
844#125—24no—
845#125—216no—
846#125—28no—
847#125—216no—
848#125—28no—
849#125—24no—
850#125—24no—
851#125—44no—
852#125—44no—
853#125—44no—
854#125—44no—
855#125—48no—
856#125—48no—
857#125—48no—
858#125—48no—
859#125C2×Q8116yes—
860#125#4118yes—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8C2×Q8116yes—
866C22⋊Q8C2×Q8116yes—
867C4×Q8—28no—
868C4×Q8—216no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—48no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—48no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—48no—
885C4×Q8—48no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8C2×Q8116yes—
889C4×Q8C2×Q8116yes—
890#117—24no—
891#117—24no—
892#117—24no—
893#117—24no—
894#117—42no—
895#117—42no—
896#117—44no—
897#117C2×Q8116yes—
898C2×C4⋊C4—24no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C42—44no—
1017C2×C42C2×Q818yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152C24C2511yescharacteristic
1153C2×Q8—24no—
1154C2×Q8—28no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—28no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—44no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8C22×Q818yes—
1176C2×Q8C22×Q818yes—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4C22×Q814yes—
1190C22×C4C22×Q814yes—
1191C22×C4C22×Q814yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4C22×Q818yes—
1319C4⋊C4C22×Q818yes—
1320C4⋊C4C22×Q8116yes—
1321C4⋊C4C22×Q8116yes—
1322C4⋊C4C22×Q818yes—
1323C4⋊C4C22×Q818yes—
1324C4⋊C4C2×#4114yes—
1325C4⋊C4C2×#4114yes—
1326C4⋊C4C2×#4118yes—
1327C4⋊C4C2×#4118yes—
1328C4⋊C4H(5,𝔽2)14yes—
1329C4⋊C42−1+414yes—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4C22×Q8116yes—
1342C42—24no—
1343C42—22no—
1344C42—28no—
1345C42—28no—
1346C42—24no—
1347C42—28no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—28no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—24no—
1357C42—28no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42C22×Q814yes—
1385C42C22×Q814yes—
1386C42C22×Q814yes—
1387C42C22×Q814yes—
1388C42C22×Q8116yes—
1389C42C2×#4114yes—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23C23×Q812yes—
1397C23C2611yescharacteristic
1398Q8—216no—
1399Q8—216no—
1400Q8—416no—
1401Q8—48no—
1402Q8—84no—
1403Q8—84no—
1404Q8—84no—
1405Q8—88no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—24no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—28no—
1431C2×C4—28no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—44no—
1493C2×C4—84no—
1494C2×C4—84no—
1495C2×C4C23×Q812yes—
1496C2×C4C23×Q812yes—
1497C2×C4C23×Q812yes—
1498C2×C4C23×Q812yes—
1499C2×C4C23×Q818yes—
1500C2×C4C23×Q818yes—
1501C2×C4C23×Q812yes—
1502C2×C4C23×Q812yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4114yes—
1505C2×C4C22×#4114yes—
1506C2×C4C22×#4112yes—
1507C2×C4C22×#4112yes—
1508C2×C4C2×H(5,𝔽2)14yes—
1509C2×C4C2×H(5,𝔽2)12yes—
1510C2×C4C2×2−1+414yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4#58512yes—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22C24×Q811yescharacteristic
1521C22C23×#4111yescharacteristic
1522C22C22×H(5,𝔽2)11yescharacteristic
1523C22C22×2−1+411yescharacteristic
1524C22C2×#58511yescharacteristic
1525C222−1+611yescharacteristic
1526C222−1+611yescharacteristic
1527C4—24no—
1528C4—22no—
1529C4—24no—
1530C4—24no—
1531C4—22no—
1532C4—22no—
1533C4—28no—
1534C4—22no—
1535C4—22no—
1536C4—24no—
1537C4—22no—
1538C4—28no—
1539C4—42no—
1540C4—44no—
1541C4—42no—
1542C4—42no—
1543C4—41no—
1544C4—42no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—44no—
1554C4—42no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4Q8×#4114yes—
1560C4#350314yes—
1561C2—42no—
1562C2C2×Q8×#4111yescharacteristic
1563C2C2×#350311yescharacteristic
1564C2#6284911yescharacteristic
1565C2#6292211yescharacteristic
1566C2#6295011yescharacteristic
1567C2#6298511yescharacteristic
1568C2#6300111yescharacteristic
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
2. #59871C2semidirect
3. #59828C2semidirect
5. #59667C2semidirect
6. #59667C2semidirect
7. #59467C2semidirect
8. #59467C2semidirect
9. #59459C2semidirect
10. #59459C2semidirect
17. #44419C2semidirect
18. #44297C2semidirect
19. #39979C2semidirect
20. #39974C2semidirect
23. #36466C2semidirect
24. #36283C2semidirect
25. #35583C2semidirect
26. #35582C2semidirect
27. #35208C2semidirect
31. #34337C2semidirect
304. #533Q8semidirect

Maximal subgroups

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

subgroupindex
#599202
#598712
#598282
#597562
#596672
#594672
#594592
#591522
#590672
#454132
#452722
#450252
#449232
#444192
#442972
#399792
#399742
#399682
#384572
#364662
#362832
#355832
#355822
#352082
#352022
#349382
#349122
#343372
#342352
#342252
#341542
C4×#5442