Finite Group Databasebeta

← #7683818

Subgroups — #7683818

Order 512.

4656 conjugacy classes of subgroups.

The subgroup lattice has 1581 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59872C212yesmaximal, complemented
2#59828C212yesmaximal, complemented
3#59669C212yesmaximal, complemented
4#59669C212yesmaximal, complemented
5#59667C212yesmaximal, complemented
6#59665C212yesmaximal, complemented
7#59665C212yesmaximal, complemented
8#59662C214yesmaximal
9#59445C212yesmaximal, complemented
10#59154C214yesmaximal
11#45426C212yesmaximal, complemented
12#45363C212yesmaximal, complemented
13#45280C212yesmaximal, complemented
14#45223C212yesmaximal, complemented
15#45073C212yesmaximal, complemented
16#44982C212yesmaximal, complemented
17#44953C212yesmaximal, complemented
18#44949C212yesmaximal, complemented
19#43130C214yesmaximal
20#43129C214yesmaximal
21#35585C211yesmaximal, characteristic
22#35566C211yesmaximal, characteristic
23#35566C211yesmaximal, characteristic
24#35555C211yesmaximal, characteristic
25#35543C211yesmaximal, characteristic
26#35543C211yesmaximal, characteristic
27#34938C211yesmaximal, characteristic
28#34815C211yesmaximal, characteristic
29C2×#2506C211yesmaximal, characteristic
30#34272C211yesmaximal, characteristic
31#34272C211yesmaximal, characteristic
32#34272C211yesmaximal, characteristic
33#34271C211yesmaximal, characteristic
34#34214C211yesmaximal, characteristic
35#34213C211yesmaximal, characteristic
36C2×#557C2214yes—
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#125C2212yes—
42#2809C2214yes—
43#2806C2214yes—
44#2802C2214yes—
45#2802C2214yes—
46#2802C2214yes—
47#2799C2214yes—
48#2799C2214yes—
49#2799C2214yes—
50#2799C2214yes—
51#2791C2214yes—
52#2791C2214yes—
53#2791C2214yes—
54#2774C2214yes—
55#2774C2214yes—
56#2774C2214yes—
57#2755C2214yes—
58#2755C2214yes—
59#2726C2214yes—
60#2726C2214yes—
61#2726C2214yes—
62#2726C2214yes—
63#2713C2214yes—
64#2713C2214yes—
65#2713C2214yes—
66#2590C2214yes—
67#2588C2214yes—
68#2588C2214yes—
69#2588C2214yes—
70#2585C2214yes—
71#2585C2214yes—
72#2584C2214yes—
73#2584C2212yes—
74#2584C2214yes—
75#2584C2212yes—
76#2584C2212yes—
77#2584C2212yes—
78#2582C2214yes—
79#2581C2214yes—
80#2571C2212yes—
81#2571C2212yes—
82#2570C2212yes—
83#2570C2212yes—
84#2570C2212yes—
85#2570C2212yes—
86#2570C2212yes—
87#2570C2212yes—
88#2569C2214yes—
89#2567C2212yes—
90#2567C2212yes—
91#2565C2214yes—
92#2552C2212yes—
93#2552C2212yes—
94#2552C2214yes—
95#2552C2212yes—
96#2552C2212yes—
97#2552C2211yescharacteristic
98#2552C2211yescharacteristic
99#2552C2212yes—
100#2552C2212yes—
101#2551C2212yes—
102#2551C2211yescharacteristic
103#2551C2212yes—
104#2551C2211yescharacteristic
105#2550C2211yescharacteristic
106#2550C2212yes—
107#2550C2211yescharacteristic
108#2550C2214yes—
109#2550C2212yes—
110#2550C2214yes—
111#2550C2211yescharacteristic
112#2550C2212yes—
113#2550C2212yes—
114#2550C2211yescharacteristic
115#2549C2212yes—
116#2549C2214yes—
117#2549C2212yes—
118#2549C2214yes—
119#2546C2212yes—
120#2546C2212yes—
121#2520C2214yes—
122#2520C2214yes—
123#2520C2214yes—
124#2511C2214yes—
125#2509C2212yes—
126#2509C2212yes—
127#2509C2214yes—
128#2509C2211yescharacteristic
129#2509C2214yes—
130#2509C2212yes—
131#2509C2212yes—
132#2509C2211yescharacteristic
133#2508C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2508C2211yescharacteristic
137#2508C2211yescharacteristic
138#2508C2212yes—
139#2507C2212yes—
140#2507C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2507C2212yes—
144#2507C2211yescharacteristic
145#2507C2212yes—
146#2507C2211yescharacteristic
147#2506C2212yes—
148#2506C2212yes—
149#2506C2212yes—
150#2506C2214yes—
151#2506C2214yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2211yescharacteristic
163#2506C2212yes—
164#2506C2211yescharacteristic
165#2505C2212yes—
166#2505C2214yes—
167#2505C2212yes—
168#2505C2214yes—
169#2473C2214yes—
170#2473C2214yes—
171#2473C2212yes—
172#2473C2214yes—
173#2473C2214yes—
174#2473C2212yes—
175#2462C2214yes—
176#2462C2214yes—
177#2462C2214yes—
178#2462C2214yes—
179#2462C2214yes—
180#2453C2214yes—
181#2453C2214yes—
182#2453C2214yes—
183#2453C2214yes—
184#2453C2214yes—
185#2451C2214yes—
186#2446C2214yes—
187#2446C2214yes—
188#2446C2214yes—
189#2442C2214yes—
190#2440C2214yes—
191#2440C2212yes—
192#2440C2214yes—
193#2440C2212yes—
194#2402C2212yes—
195#2402C2212yes—
196#2399C2212yes—
197#2399C2212yes—
198C2×#400C2212yes—
199C2×#398C2212yes—
200#2370C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2214yes—
206#2370C2212yes—
207#2370C2212yes—
208#2370C2212yes—
209#2370C2212yes—
210#2370C2212yes—
211#2370C2212yes—
212#2370C2212yes—
213#2370C2212yes—
214#2369C2212yes—
215#2369C2212yes—
216#2369C2212yes—
217#2369C2212yes—
218#2369C2212yes—
219#2369C2212yes—
220#2368C2214yes—
221#2368C2214yes—
222#2368C2214yes—
223#2365C2212yes—
224#2365C2212yes—
225#2365C2212yes—
226#2365C2212yes—
227#2365C2212yes—
228#2365C2212yes—
229#2360C2214yes—
230#2360C2214yes—
231#2360C2214yes—
232#2360C2214yes—
233#2360C2214yes—
234#2355C2214yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2355C2212yes—
239#2355C2212yes—
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2212yes—
242Q8×C4⋊C4C2212yes—
243#2331C2212yes—
244#2331C2212yes—
245#2331C2212yes—
246#2330C2212yes—
247#2330C2212yes—
248#2330C2212yes—
249#2330C2212yes—
250#2330C2212yes—
251#2329C2214yes—
252#2329C2214yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2316C2211yescharacteristic
260#2316C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×C22⋊Q8C2214yes—
274C4×C22⋊Q8C2214yes—
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281C2×#389C2211yescharacteristic
282C2×#389C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#387C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288C2×#384C2211yescharacteristic
289#2274C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—416no—
300#544—28no—
301#544Q8116yescomplemented
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#125—48no—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2314yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#398C2312yes—
404#398C2312yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2312yes—
456#395C2312yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2312yes—
461#395C2312yes—
462#395C2312yes—
463#395C2312yes—
464#395C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
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#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
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#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2314yes—
686#384C2314yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2314yes—
711#382C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—44no—
841C4⋊Q8—48no—
842C4⋊Q8—48no—
843C4⋊Q8C2×Q8116yes—
844C4⋊Q8C2×Q8116yes—
845#125—24no—
846#125—24no—
847#125—24no—
848#125—24no—
849#125—28no—
850#125—216no—
851#125—28no—
852#125—28no—
853#125—48no—
854#125—44no—
855#125—48no—
856#125—48no—
857#125—48no—
858#125—48no—
859#125—48no—
860#125—48no—
861#125—48no—
862#125C2×Q8116yes—
863#125C2×Q8116yes—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8C2×Q8132yes—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—48no—
875C4×Q8—48no—
876C4×Q8—48no—
877C4×Q8—48no—
878C4×Q8—48no—
879C4×Q8—48no—
880C4×Q8—48no—
881#117—24no—
882#117—24no—
883#117—24no—
884#117—24no—
885#117—24no—
886#117C2×Q818yes—
887#117C2×Q818yes—
888#117#4118yes—
889C2×C4⋊C4—24no—
890C2×C4⋊C4—24no—
891C2×C4⋊C4—24no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4—42no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4C2×Q818yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C42—24no—
1020C2×C42—24no—
1021C2×C42—24no—
1022C2×C42—44no—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2411yescharacteristic
1069#95C2414yes—
1070#95C2414yes—
1071#95C2411yescharacteristic
1072#95C2414yes—
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151C24C2511yescharacteristic
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—28no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8C22×Q8116yes—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—42no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—41no—
1199C22×C4C22×Q818yes—
1200C22×C4C22×Q814yes—
1201C22×C4C2×#4114yes—
1202C22×C42−1+414yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—28no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—41no—
1290C4⋊C4—44no—
1291C4⋊C4—41no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
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—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4C22×Q818yes—
1336C4⋊C4C22×Q818yes—
1337C4⋊C4C22×Q814yes—
1338C4⋊C4C22×Q814yes—
1339C4⋊C4C22×Q814yes—
1340C4⋊C4C22×Q814yes—
1341C4⋊C4C22×Q8116yes—
1342C4⋊C4C22×Q8116yes—
1343C4⋊C4C22×Q8116yes—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4H(5,𝔽2)14yes—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4C22×Q818yes—
1353C22⋊C4C22×Q818yes—
1354C22⋊C4C2×#4118yes—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—28no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42—44no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—42no—
1394C42C22×Q818yes—
1395C42C22×Q818yes—
1396C42C2×#4118yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23C23×Q812yes—
1402C23C22×#4112yes—
1403C23C2×2−1+412yes—
1404C23C2611yescharacteristic
1405Q8—416no—
1406Q8—48no—
1407Q8—48no—
1408Q8—48no—
1409Q8—88no—
1410Q8—84no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—48no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—84no—
1502C2×C4—82no—
1503C2×C4—84no—
1504C2×C4—84no—
1505C2×C4—82no—
1506C2×C4#557116yescomplemented
1507C2×C4C23×Q814yes—
1508C2×C4C23×Q814yes—
1509C2×C4C23×Q814yes—
1510C2×C4C23×Q814yes—
1511C2×C4C23×Q818yes—
1512C2×C4C23×Q812yes—
1513C2×C4C23×Q812yes—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4114yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C2×H(5,𝔽2)12yes—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×H(5,𝔽2)12yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4#58512yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22C2×#55714yes—
1531C22C24×Q811yescharacteristic
1532C22C23×#4111yescharacteristic
1533C22C22×H(5,𝔽2)11yescharacteristic
1534C22C22×2−1+411yescharacteristic
1535C22C2×#58511yescharacteristic
1536C222−1+611yescharacteristic
1537C222−1+611yescharacteristic
1538C4—28no—
1539C4—24no—
1540C4—24no—
1541C4—22no—
1542C4—22no—
1543C4—24no—
1544C4—22no—
1545C4—24no—
1546C4—24no—
1547C4—24no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—44no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—44no—
1565C4—44no—
1566C4—42no—
1567C4—42no—
1568C4—41no—
1569C4—41no—
1570C4C2×#55714yes—
1571C4C2×#55714yes—
1572C2—24no—
1573C2C22×#55711yescharacteristic
1574C2#6283511yescharacteristic
1575C2#6288911yescharacteristic
1576C2Q8×H(5,𝔽2)11yescharacteristic
1577C2#6298511yescharacteristic
1578C2#6299311yescharacteristic
1579C2#6300411yescharacteristic
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. #59872C2semidirect
2. #59828C2semidirect
3. #59669C2semidirect
4. #59669C2semidirect
5. #59667C2semidirect
6. #59665C2semidirect
7. #59665C2semidirect
9. #59445C2semidirect
11. #45426C2semidirect
12. #45363C2semidirect
13. #45280C2semidirect
14. #45223C2semidirect
15. #45073C2semidirect
16. #44982C2semidirect
17. #44953C2semidirect
18. #44949C2semidirect
301. #544Q8semidirect
1506. C2×C4#557semidirect

Maximal subgroups

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

subgroupindex
#598722
#598282
#596692
#596672
#596652
#596622
#594452
#591542
#454262
#453632
#452802
#452232
#450732
#449822
#449532
#449492
#431302
#431292
#355852
#355662
#355552
#355432
#349382
#348152
C2×#25062
#342722
#342712
#342142
#342132