Finite Group Databasebeta

← #7648481

Subgroups — #7648481

Order 512.

4632 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42981C212yesmaximal, complemented
2#42972C212yesmaximal, complemented
3#42955C212yesmaximal, complemented
4#42932C212yesmaximal, complemented
5#42181C214yesmaximal, complemented
6#42000C214yesmaximal, complemented
7#39751C212yesmaximal, complemented
8#39496C212yesmaximal, complemented
9#39178C212yesmaximal, complemented
10#38963C212yesmaximal, complemented
11#38097C214yesmaximal
12#37873C214yesmaximal
13#37623C212yesmaximal, complemented
14#37561C212yesmaximal, complemented
15#37429C212yesmaximal, complemented
16#37429C212yesmaximal, complemented
17#37314C212yesmaximal, complemented
18#37313C212yesmaximal, complemented
19#35640C211yesmaximal, characteristic, complemented
20#35627C211yesmaximal, characteristic, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35543C211yesmaximal, characteristic, complemented
23#35335C211yesmaximal, characteristic, complemented
24#35330C211yesmaximal, characteristic, complemented
25#35286C212yesmaximal, complemented
26#35265C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic
29#35224C211yesmaximal, characteristic
30#35132C212yesmaximal, complemented
31#34739C211yesmaximal, characteristic
32C2×#2442C211yesmaximal, characteristic
33#34180C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic
35C2×#2317C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C22×#117C2211yescharacteristic
41C22×#117C2211yescharacteristic
42C23×C4⋊C4C2211yescharacteristic
43#2864C2212yescomplemented
44#2864C2212yescomplemented
45#2862C2212yescomplemented
46#2859C2212yescomplemented
47#2859C2212yescomplemented
48#2859C2212yescomplemented
49#2859C2212yescomplemented
50#2859C2212yescomplemented
51#2857C2212yes—
52#2851C2212yes—
53#2848C2214yes—
54#2845C2214yescomplemented
55#2844C2214yescomplemented
56#2843C2214yescomplemented
57#2843C2214yescomplemented
58#2807C2214yes—
59#2806C2214yescomplemented
60#2805C2214yescomplemented
61#2805C2214yescomplemented
62#2802C2214yescomplemented
63#2802C2214yescomplemented
64#2802C2214yescomplemented
65#2792C2214yescomplemented
66#2791C2214yescomplemented
67#2791C2214yescomplemented
68#2790C2214yes—
69#2790C2214yes—
70#2788C2214yes—
71#2788C2214yes—
72#2788C2214yes—
73#2774C2214yescomplemented
74#2774C2214yescomplemented
75#2768C2214yes—
76#2768C2214yes—
77#2768C2214yes—
78#2763C2214yes—
79#2755C2214yescomplemented
80#2755C2214yescomplemented
81#2755C2214yescomplemented
82#2742C2214yes—
83#2742C2214yes—
84#2729C2214yes—
85#2726C2214yescomplemented
86#2720C2214yes—
87#2713C2214yescomplemented
88#2704C2214yes—
89#2704C2214yes—
90#2666C2214yescomplemented
91#2666C2214yescomplemented
92#2666C2214yescomplemented
93#2666C2214yescomplemented
94#2660C2212yescomplemented
95#2660C2212yescomplemented
96#2660C2212yescomplemented
97#2660C2212yescomplemented
98#2660C2214yescomplemented
99#2659C2214yes—
100#2647C2214yescomplemented
101#2647C2212yescomplemented
102#2647C2212yescomplemented
103#2647C2212yescomplemented
104#2647C2212yescomplemented
105#2647C2214yescomplemented
106#2647C2214yescomplemented
107#2646C2214yes—
108#2629C2212yes—
109#2628C2212yes—
110#2627C2214yes—
111#2627C2214yes—
112#2627C2214yes—
113#2612C2214yescomplemented
114#2612C2214yescomplemented
115#2584C2212yescomplemented
116#2584C2212yescomplemented
117#2584C2212yescomplemented
118#2584C2212yescomplemented
119#2584C2212yescomplemented
120#2584C2212yescomplemented
121#2583C2214yes—
122#2583C2214yes—
123#2583C2214yes—
124#2571C2212yescomplemented
125#2571C2212yescomplemented
126#2571C2212yescomplemented
127#2571C2214yescomplemented
128#2570C2212yescomplemented
129#2570C2212yescomplemented
130#2570C2212yescomplemented
131#2570C2212yescomplemented
132#2567C2212yescomplemented
133#2552C2212yescomplemented
134#2552C2214yescomplemented
135#2552C2212yescomplemented
136#2552C2212yescomplemented
137#2552C2212yescomplemented
138#2552C2212yescomplemented
139#2552C2212yescomplemented
140#2551C2212yescomplemented
141#2550C2212yescomplemented
142#2550C2212yescomplemented
143#2550C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2550C2212yescomplemented
148#2550C2212yescomplemented
149#2550C2212yescomplemented
150#2550C2212yescomplemented
151#2549C2214yes—
152#2549C2214yes—
153#2549C2214yes—
154#2546C2212yescomplemented
155#2509C2212yescomplemented
156#2509C2212yescomplemented
157#2509C2212yescomplemented
158#2509C2212yescomplemented
159#2509C2212yescomplemented
160#2508C2212yescomplemented
161#2508C2212yescomplemented
162#2508C2212yescomplemented
163#2508C2212yescomplemented
164#2508C2212yescomplemented
165#2507C2212yescomplemented
166#2507C2212yescomplemented
167#2507C2212yescomplemented
168#2506C2212yescomplemented
169#2506C2212yescomplemented
170#2506C2212yescomplemented
171#2505C2214yes—
172#2505C2214yes—
173#2505C2214yes—
174#2505C2214yes—
175#2505C2214yes—
176#2502C2214yes—
177#2473C2214yes—
178#2473C2214yes—
179#2473C2214yes—
180#2442C2212yes—
181#2442C2214yes—
182#2442C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2442C2212yes—
186#2442C2211yescharacteristic
187#2442C2212yes—
188#2442C2212yes—
189#2442C2214yes—
190#2442C2214yes—
191#2442C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2442C2212yes—
196#2442C2211yescharacteristic
197#2442C2212yes—
198#2441C2211yescharacteristic
199#2441C2212yes—
200#2441C2211yescharacteristic
201#2440C2212yes—
202#2440C2214yes—
203#2440C2214yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2211yescharacteristic
209#2440C2211yescharacteristic
210#2439C2211yescharacteristic
211#2439C2212yes—
212#2439C2211yescharacteristic
213#2438C2212yes—
214#2438C2214yes—
215#2438C2214yes—
216#2438C2214yes—
217#2438C2214yes—
218#2438C2214yes—
219#2438C2212yes—
220#2437C2212yes—
221#2437C2212yes—
222#2437C2214yes—
223#2396C2212yes—
224#2396C2212yes—
225C2×#400C2212yes—
226C2×#398C2212yes—
227#2347C2211yescharacteristic
228#2347C2211yescharacteristic
229#2347C2212yes—
230#2346C2211yescharacteristic
231#2346C2211yescharacteristic
232#2346C2212yes—
233#2345C2211yescharacteristic
234#2345C2212yes—
235#2345C2211yescharacteristic
236#2344C2211yescharacteristic
237#2344C2212yes—
238#2344C2211yescharacteristic
239#2343C2212yes—
240#2343C2214yes—
241#2343C2212yes—
242#2342C2212yes—
243#2342C2212yes—
244#2342C2214yes—
245#2329C2214yes—
246#2329C2214yes—
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2317C2211yescharacteristic
250#2317C2214yes—
251#2317C2211yescharacteristic
252#2317C2212yes—
253#2317C2212yes—
254#2317C2211yescharacteristic
255#2317C2212yes—
256#2317C2212yes—
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2214yes—
265#2316C2211yescharacteristic
266#2314C2212yes—
267#2314C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270#2298C2212yes—
271#2298C2212yes—
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276C2×#389C2212yes—
277C2×#389C2212yes—
278C2×#389C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#385C2214yes—
281C2×#385C2212yes—
282#2285C2211yescharacteristic
283#2285C2212yes—
284C2×#384C2212yes—
285#2283C2212yes—
286#2283C2212yes—
287C2×#382C2211yescharacteristic
288C2×#382C2212yes—
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292C2×#380C2212yes—
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C24×C4C2311yescharacteristic
300C24×C4C2312yes—
301#544—44no—
302#544—44no—
303#533—44no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×#125—44no—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×#117—44no—
337C2×#117Q8116yescomplemented
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2314yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C22×C4⋊C4—44no—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2314yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385C22×C42C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2312yes—
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#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2312yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2312yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#384C2314yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2314yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2314yes—
682#384C2312yes—
683#384C2312yes—
684#384C2314yes—
685#384C2311yescharacteristic
686#384C2314yes—
687#383C2314yes—
688#383C2312yes—
689#383C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2314yes—
748#380C2314yes—
749#379C2312yes—
750#379C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2312yes—
817C25C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C23×C4—24no—
823C23×C4—24no—
824C23×C4—44no—
825C23×C4—44no—
826C23×C4—82no—
827C23×C4C2×Q818yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C4⋊Q8—42no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—84no—
855#125—44no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—42no—
860#125—42no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—84no—
866#125—84no—
867#125—84no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—84no—
877C4×Q8—44no—
878C4×Q8—44no—
879#117—24no—
880#117—24no—
881#117—24no—
882#117—24no—
883#117—24no—
884#117—24no—
885#117—44no—
886#117—44no—
887#117—44no—
888#117—44no—
889#117—48no—
890#117—42no—
891#117—42no—
892#117C2×Q8116yes—
893#117C2×Q8116yes—
894#117C2×Q818yes—
895#117C2×Q818yes—
896#117C2×Q818yes—
897#117C2×Q818yes—
898C2×C4⋊C4—24no—
899C2×C4⋊C4—24no—
900C2×C4⋊C4—24no—
901C2×C4⋊C4—24no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4—44no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—42no—
907C2×C4⋊C4—42no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—48no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—82no—
913C2×C4⋊C4—84no—
914C2×C4⋊C4—82no—
915C2×C4⋊C4C2×Q818yes—
916C2×C4⋊C4C2×Q818yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C22⋊C4—42no—
1012C2×C22⋊C4—42no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4C2×Q8116yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—44no—
1049C2×C42C2×Q8116yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2414yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
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#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
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#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24C22×Q814yes—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C24C2511yescharacteristic
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—232no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—24no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—816no—
1238C22×C4C22×Q814yes—
1239C22×C4C22×Q818yes—
1240C22×C4C22×Q814yes—
1241C22×C4C22×Q814yes—
1242C22×C4C22×Q814yes—
1243C22×C4C22×Q814yes—
1244C22×C4C22×Q818yes—
1245C22×C4C22×Q814yes—
1246C22×C4H(5,𝔽2)14yes—
1247C22×C42−1+414yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2514yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
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—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4C22×Q818yes—
1369C4⋊C4C22×Q818yes—
1370C4⋊C4C22×Q814yes—
1371C4⋊C4C22×Q814yes—
1372C4⋊C4C22×Q814yes—
1373C4⋊C4C22×Q814yes—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—28no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4C22×Q818yes—
1401C22⋊C4C22×Q818yes—
1402C22⋊C4C22×Q818yes—
1403C22⋊C4C22×Q818yes—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—42no—
1419C42—42no—
1420C42—44no—
1421C42—42no—
1422C42—42no—
1423C42—44no—
1424C42—44no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—44no—
1432C42C22×Q818yes—
1433C42C22×Q818yes—
1434C42C22×Q818yes—
1435C42C22×Q818yes—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—28no—
1451C23—28no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23C23×Q812yes—
1458C23C23×Q812yes—
1459C23C23×Q812yes—
1460C23C2×H(5,𝔽2)12yes—
1461C23C2×2−1+412yes—
1462C23#58512yes—
1463C23#58512yes—
1464C23C2611yescharacteristic
1465Q8—84no—
1466Q8—84no—
1467Q8—164no—
1468Q8—164no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—28no—
1482C2×C4—216no—
1483C2×C4—28no—
1484C2×C4—28no—
1485C2×C4—28no—
1486C2×C4—28no—
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—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—84no—
1562C2×C4—82no—
1563C2×C4—82no—
1564C2×C4—82no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—82no—
1568C2×C4—84no—
1569C2×C4—88no—
1570C2×C4—84no—
1571C2×C4—88no—
1572C2×C4#544116yes—
1573C2×C4C23×Q812yes—
1574C2×C4C23×Q814yes—
1575C2×C4C23×Q814yes—
1576C2×C4C23×Q814yes—
1577C2×C4C23×Q814yes—
1578C2×C4C23×Q812yes—
1579C2×C4C23×Q812yes—
1580C2×C4C23×Q812yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×H(5,𝔽2)12yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4C2×2−1+412yes—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—416no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22C2×#54414yes—
1606C22#350414yes—
1607C22C24×Q811yescharacteristic
1608C22C22×H(5,𝔽2)11yescharacteristic
1609C22C22×2−1+411yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22H(7,𝔽2)11yescharacteristic
1613C222−1+611yescharacteristic
1614C4—24no—
1615C4—24no—
1616C4—24no—
1617C4—24no—
1618C4—22no—
1619C4—22no—
1620C4—44no—
1621C4—41no—
1622C4—42no—
1623C4—44no—
1624C4—42no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—41no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—41no—
1643C4—44no—
1644C4C2×#54414yes—
1645C4C2×#54414yes—
1646C2—24no—
1647C2—24no—
1648C2—42no—
1649C2C22×#54411yescharacteristic
1650C2C2×#350411yescharacteristic
1651C2#6285411yescharacteristic
1652C2#6292411yescharacteristic
1653C2#6292811yescharacteristic
1654C2#6295411yescharacteristic
1655C2#6295811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42981C2semidirect
2. #42972C2semidirect
3. #42955C2semidirect
4. #42932C2semidirect
5. #42181C2semidirect
6. #42000C2semidirect
7. #39751C2semidirect
8. #39496C2semidirect
9. #39178C2semidirect
10. #38963C2semidirect
13. #37623C2semidirect
14. #37561C2semidirect
15. #37429C2semidirect
16. #37429C2semidirect
17. #37314C2semidirect
18. #37313C2semidirect
19. #35640C2semidirect
20. #35627C2semidirect
21. #35566C2semidirect
22. #35543C2semidirect
23. #35335C2semidirect
24. #35330C2semidirect
25. #35286C2semidirect
26. #35265C2semidirect
27. #35265C2semidirect
30. #35132C2semidirect
43. #2864C22semidirect
44. #2864C22semidirect
45. #2862C22semidirect
46. #2859C22semidirect
47. #2859C22semidirect
48. #2859C22semidirect
49. #2859C22semidirect
50. #2859C22semidirect
54. #2845C22semidirect
55. #2844C22semidirect
56. #2843C22semidirect
57. #2843C22semidirect
59. #2806C22semidirect
60. #2805C22semidirect
61. #2805C22semidirect
62. #2802C22semidirect
63. #2802C22semidirect
64. #2802C22semidirect
65. #2792C22semidirect
66. #2791C22semidirect
67. #2791C22semidirect
73. #2774C22semidirect
74. #2774C22semidirect
79. #2755C22semidirect
80. #2755C22semidirect
81. #2755C22semidirect
85. #2726C22semidirect
87. #2713C22semidirect
90. #2666C22semidirect
91. #2666C22semidirect
92. #2666C22semidirect
93. #2666C22semidirect
94. #2660C22semidirect
95. #2660C22semidirect
96. #2660C22semidirect
97. #2660C22semidirect
98. #2660C22semidirect
100. #2647C22semidirect
101. #2647C22semidirect
102. #2647C22semidirect
103. #2647C22semidirect
104. #2647C22semidirect
105. #2647C22semidirect
106. #2647C22semidirect
113. #2612C22semidirect
114. #2612C22semidirect
115. #2584C22semidirect
116. #2584C22semidirect
117. #2584C22semidirect
118. #2584C22semidirect
119. #2584C22semidirect
120. #2584C22semidirect
124. #2571C22semidirect
125. #2571C22semidirect
126. #2571C22semidirect
127. #2571C22semidirect
128. #2570C22semidirect
129. #2570C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
132. #2567C22semidirect
133. #2552C22semidirect
134. #2552C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2551C22semidirect
141. #2550C22semidirect
142. #2550C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
150. #2550C22semidirect
154. #2546C22semidirect
155. #2509C22semidirect
156. #2509C22semidirect
157. #2509C22semidirect
158. #2509C22semidirect
159. #2509C22semidirect
160. #2508C22semidirect
161. #2508C22semidirect
162. #2508C22semidirect
163. #2508C22semidirect
164. #2508C22semidirect
165. #2507C22semidirect
166. #2507C22semidirect
167. #2507C22semidirect
168. #2506C22semidirect
169. #2506C22semidirect
170. #2506C22semidirect
337. C2×#117Q8semidirect

Maximal subgroups

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

subgroupindex
#429812
#429722
#429552
#429322
#421812
#420002
#397512
#394962
#391782
#389632
#380972
#378732
#376232
#375612
#374292
#373142
#373132
#356402
#356272
#355662
#355432
#353352
#353302
#352862
#352652
#352532
#352242
#351322
#347392
C2×#24422
#341802
#341092
C2×#23172