Finite Group Databasebeta

← #7648468

Subgroups — #7648468

Order 512.

4936 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42973C212yesmaximal, complemented
2#42972C212yesmaximal, complemented
3#42933C212yesmaximal, complemented
4#42932C212yesmaximal, complemented
5#42000C214yesmaximal, complemented
6#41999C214yesmaximal, complemented
7#39623C212yesmaximal, complemented
8#39368C212yesmaximal, complemented
9#39178C212yesmaximal, complemented
10#38963C212yesmaximal, complemented
11#38097C214yesmaximal
12#37685C214yesmaximal
13#37623C212yesmaximal, complemented
14#37561C212yesmaximal, complemented
15#37314C212yesmaximal, complemented
16#37313C212yesmaximal, complemented
17#37312C212yesmaximal, complemented
18#37312C212yesmaximal, complemented
19#35576C211yesmaximal, characteristic, complemented
20#35566C211yesmaximal, characteristic, complemented
21#35555C211yesmaximal, characteristic, complemented
22#35543C211yesmaximal, characteristic, complemented
23#35281C211yesmaximal, characteristic, complemented
24#35275C211yesmaximal, characteristic, complemented
25#35275C212yesmaximal, complemented
26#35265C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic
29#35224C211yesmaximal, characteristic
30#35132C212yesmaximal, complemented
31#34739C211yesmaximal, characteristic
32C2×#2440C211yesmaximal, characteristic
33#34180C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic
35C2×#2317C211yesmaximal, characteristic
36C2×#544C2214yes—
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2212yes—
42C22×#117C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2868C2212yescomplemented
46#2868C2212yescomplemented
47#2864C2212yescomplemented
48#2864C2212yescomplemented
49#2862C2212yescomplemented
50#2859C2212yescomplemented
51#2859C2212yescomplemented
52#2859C2212yescomplemented
53#2857C2212yes—
54#2851C2212yes—
55#2848C2214yes—
56#2845C2214yescomplemented
57#2844C2214yescomplemented
58#2843C2214yescomplemented
59#2843C2214yescomplemented
60#2807C2214yes—
61#2806C2214yescomplemented
62#2802C2214yescomplemented
63#2792C2214yescomplemented
64#2792C2214yescomplemented
65#2792C2214yescomplemented
66#2791C2214yescomplemented
67#2791C2214yescomplemented
68#2790C2214yes—
69#2790C2214yes—
70#2788C2214yes—
71#2774C2214yescomplemented
72#2774C2214yescomplemented
73#2768C2214yes—
74#2763C2214yes—
75#2755C2214yescomplemented
76#2734C2214yescomplemented
77#2734C2214yescomplemented
78#2729C2214yes—
79#2729C2214yes—
80#2729C2214yes—
81#2726C2214yescomplemented
82#2720C2214yes—
83#2720C2214yes—
84#2720C2214yes—
85#2713C2214yescomplemented
86#2713C2214yescomplemented
87#2713C2214yescomplemented
88#2704C2214yes—
89#2704C2214yes—
90#2677C2214yes—
91#2677C2214yes—
92#2666C2214yescomplemented
93#2666C2214yescomplemented
94#2666C2214yescomplemented
95#2666C2214yescomplemented
96#2660C2214yescomplemented
97#2660C2214yescomplemented
98#2660C2214yescomplemented
99#2660C2212yescomplemented
100#2660C2212yescomplemented
101#2660C2212yescomplemented
102#2660C2212yescomplemented
103#2659C2214yes—
104#2647C2214yescomplemented
105#2647C2212yescomplemented
106#2647C2212yescomplemented
107#2647C2212yescomplemented
108#2647C2212yescomplemented
109#2646C2214yes—
110#2629C2212yes—
111#2628C2212yes—
112#2627C2214yes—
113#2627C2214yes—
114#2627C2214yes—
115#2612C2214yescomplemented
116#2612C2214yescomplemented
117#2584C2212yescomplemented
118#2584C2212yescomplemented
119#2583C2214yes—
120#2571C2212yescomplemented
121#2570C2212yescomplemented
122#2570C2212yescomplemented
123#2570C2212yescomplemented
124#2570C2212yescomplemented
125#2567C2212yescomplemented
126#2567C2212yescomplemented
127#2567C2212yescomplemented
128#2552C2212yescomplemented
129#2552C2214yescomplemented
130#2552C2212yescomplemented
131#2552C2212yescomplemented
132#2552C2212yescomplemented
133#2552C2212yescomplemented
134#2552C2212yescomplemented
135#2551C2214yescomplemented
136#2551C2212yescomplemented
137#2551C2212yescomplemented
138#2551C2212yescomplemented
139#2551C2212yescomplemented
140#2551C2212yescomplemented
141#2551C2212yescomplemented
142#2551C2212yescomplemented
143#2550C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2550C2212yescomplemented
148#2550C2212yescomplemented
149#2549C2214yes—
150#2546C2212yescomplemented
151#2546C2212yescomplemented
152#2546C2212yescomplemented
153#2509C2212yescomplemented
154#2509C2212yescomplemented
155#2509C2212yescomplemented
156#2508C2212yescomplemented
157#2508C2212yescomplemented
158#2508C2212yescomplemented
159#2507C2212yescomplemented
160#2507C2212yescomplemented
161#2507C2212yescomplemented
162#2507C2212yescomplemented
163#2507C2212yescomplemented
164#2506C2212yescomplemented
165#2506C2212yescomplemented
166#2506C2212yescomplemented
167#2506C2212yescomplemented
168#2506C2212yescomplemented
169#2505C2214yes—
170#2505C2214yes—
171#2505C2214yes—
172#2502C2214yes—
173#2473C2214yes—
174#2473C2214yes—
175#2473C2214yes—
176#2473C2214yes—
177#2473C2214yes—
178#2442C2212yes—
179#2442C2214yes—
180#2442C2212yes—
181#2442C2212yes—
182#2442C2212yes—
183#2442C2212yes—
184#2442C2211yescharacteristic
185#2442C2211yescharacteristic
186#2441C2211yescharacteristic
187#2441C2211yescharacteristic
188#2441C2212yes—
189#2440C2214yes—
190#2440C2212yes—
191#2440C2214yes—
192#2440C2214yes—
193#2440C2214yes—
194#2440C2212yes—
195#2440C2214yes—
196#2440C2211yescharacteristic
197#2440C2212yes—
198#2440C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2440C2212yes—
203#2440C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2211yescharacteristic
208#2440C2212yes—
209#2440C2214yes—
210#2439C2211yescharacteristic
211#2439C2211yescharacteristic
212#2439C2212yes—
213#2438C2212yes—
214#2438C2214yes—
215#2438C2212yes—
216#2438C2214yes—
217#2438C2214yes—
218#2438C2214yes—
219#2438C2214yes—
220#2437C2212yes—
221#2437C2214yes—
222#2437C2212yes—
223#2434C2214yes—
224#2434C2214yes—
225#2396C2212yes—
226#2396C2212yes—
227C2×#398C2212yes—
228C2×#395C2212yes—
229#2347C2211yescharacteristic
230#2347C2211yescharacteristic
231#2347C2212yes—
232#2346C2211yescharacteristic
233#2346C2211yescharacteristic
234#2346C2212yes—
235#2345C2211yescharacteristic
236#2345C2212yes—
237#2345C2211yescharacteristic
238#2344C2211yescharacteristic
239#2344C2212yes—
240#2344C2211yescharacteristic
241#2343C2212yes—
242#2343C2214yes—
243#2343C2212yes—
244#2342C2212yes—
245#2342C2214yes—
246#2342C2212yes—
247#2329C2214yes—
248#2329C2214yes—
249#2317C2214yes—
250#2317C2212yes—
251#2317C2212yes—
252#2317C2212yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2212yes—
257#2317C2211yescharacteristic
258#2317C2214yes—
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2314C2212yes—
268#2314C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271#2298C2212yes—
272#2298C2212yes—
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277C2×#389C2212yes—
278C2×#389C2212yes—
279C2×#389C2211yescharacteristic
280C2×#389C2211yescharacteristic
281C2×#385C2214yes—
282C2×#385C2212yes—
283#2285C2212yes—
284#2285C2211yescharacteristic
285C2×#384C2212yes—
286C2×#384C2211yescharacteristic
287#2283C2212yes—
288#2283C2212yes—
289C2×#382C2212yes—
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292C2×#380C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300C24×C4C2311yescharacteristic
301C24×C4C2312yes—
302#544—44no—
303#544—44no—
304#544—416no—
305#533—44no—
306C2×C4⋊Q8—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2314yes—
321C2×C4⋊Q8C2314yes—
322C2×C4⋊Q8C2314yes—
323C2×C4⋊Q8C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2314yes—
335C2×C22⋊Q8—48no—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×#117—44no—
352C2×#117Q8116yescomplemented
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C22×C4⋊C4—44no—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2312yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
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#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#384C2314yes—
679#384C2314yes—
680#384C2314yes—
681#384C2312yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2314yes—
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2314yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2314yes—
699#384C2312yes—
700#384C2312yes—
701#383C2314yes—
702#383C2312yes—
703#383C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#382C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2314yes—
727#381C2312yes—
728#381C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#379C2312yes—
754#379C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8—82no—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—44no—
832C23×C4—44no—
833C23×C4—82no—
834C23×C4C2×Q818yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860C4⋊Q8—42no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—48no—
866C4⋊Q8—48no—
867C4⋊Q8—48no—
868C4⋊Q8—48no—
869C4⋊Q8—84no—
870C4⋊Q8—84no—
871C4⋊Q8—84no—
872#125—42no—
873#125—42no—
874#125—44no—
875#125—44no—
876#125—44no—
877#125—44no—
878#125—48no—
879#125—48no—
880#125—48no—
881#125—48no—
882#125—84no—
883C22⋊Q8—216no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—84no—
896C4×Q8—44no—
897C4×Q8—44no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—28no—
905#117—28no—
906#117—44no—
907#117—44no—
908#117—48no—
909#117—42no—
910#117—42no—
911#117C2×Q8116yes—
912#117C2×Q818yes—
913#117C2×Q818yes—
914#117C2×Q8116yescomplemented
915#117C2×Q818yescomplemented
916#117C2×Q818yescomplemented
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—48no—
933C2×C4⋊C4—82no—
934C2×C4⋊C4—84no—
935C2×C4⋊C4C2×Q818yescomplemented
936C2×C4⋊C4C2×Q818yescomplemented
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C22⋊C4—24no—
1034C2×C22⋊C4—24no—
1035C2×C22⋊C4—44no—
1036C2×C22⋊C4—44no—
1037C2×C22⋊C4C2×Q8116yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C42—24no—
1069C2×C42—24no—
1070C2×C42—44no—
1071C2×C42C2×Q8116yescomplemented
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—41no—
1187C24—41no—
1188C24C22×Q814yes—
1189C24C2511yescharacteristic
1190C24C2511yescharacteristic
1191C24C2511yescharacteristic
1192C2×Q8—28no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—816no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—232no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—816no—
1263C22×C4C22×Q814yes—
1264C22×C4C22×Q818yes—
1265C22×C4C22×Q814yes—
1266C22×C4C22×Q814yes—
1267C22×C4C22×Q814yes—
1268C22×C4C22×Q814yes—
1269C22×C4C22×Q818yes—
1270C22×C4C22×Q814yes—
1271C22×C4H(5,𝔽2)14yes—
1272C22×C42−1+414yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
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—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4C22×Q818yes—
1396C4⋊C4C22×Q818yes—
1397C4⋊C4C22×Q814yes—
1398C4⋊C4C22×Q814yes—
1399C4⋊C4C22×Q814yes—
1400C4⋊C4C22×Q814yes—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4C22×Q818yes—
1426C22⋊C4C22×Q818yes—
1427C22⋊C4C22×Q818yes—
1428C22⋊C4C22×Q818yes—
1429C22⋊C4H(5,𝔽2)14yes—
1430C22⋊C42−1+414yes—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42C22×Q818yes—
1460C42C22×Q818yes—
1461C42C22×Q818yes—
1462C42C22×Q818yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—28no—
1478C23—28no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23C23×Q812yes—
1485C23C23×Q812yes—
1486C23C23×Q812yes—
1487C23C2×H(5,𝔽2)12yes—
1488C23C2×H(5,𝔽2)12yes—
1489C23C2×2−1+412yes—
1490C23C2×2−1+412yes—
1491C23C2611yescharacteristic
1492Q8—84no—
1493Q8—84no—
1494Q8—88no—
1495Q8—88no—
1496Q8—164no—
1497Q8—164no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—28no—
1519C2×C4—216no—
1520C2×C4—28no—
1521C2×C4—28no—
1522C2×C4—28no—
1523C2×C4—28no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—88no—
1597C2×C4#544116yescomplemented
1598C2×C4C23×Q812yes—
1599C2×C4C23×Q814yes—
1600C2×C4C23×Q814yes—
1601C2×C4C23×Q814yes—
1602C2×C4C23×Q814yes—
1603C2×C4C23×Q812yes—
1604C2×C4C23×Q812yes—
1605C2×C4C23×Q812yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—416no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22C2×#54414yes—
1635C22#350314yes—
1636C22C24×Q811yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C222−1+611yescharacteristic
1643C4—24no—
1644C4—24no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—44no—
1654C4—41no—
1655C4—44no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—44no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4C2×#54414yes—
1674C4C2×#54414yes—
1675C2—24no—
1676C2—24no—
1677C2—42no—
1678C2C22×#54411yescharacteristic
1679C2C2×#350311yescharacteristic
1680C2#6285411yescharacteristic
1681C2#6291211yescharacteristic
1682C2#6291511yescharacteristic
1683C2#6294211yescharacteristic
1684C2#6294511yescharacteristic
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. #42973C2semidirect
2. #42972C2semidirect
3. #42933C2semidirect
4. #42932C2semidirect
5. #42000C2semidirect
6. #41999C2semidirect
7. #39623C2semidirect
8. #39368C2semidirect
9. #39178C2semidirect
10. #38963C2semidirect
13. #37623C2semidirect
14. #37561C2semidirect
15. #37314C2semidirect
16. #37313C2semidirect
17. #37312C2semidirect
18. #37312C2semidirect
19. #35576C2semidirect
20. #35566C2semidirect
21. #35555C2semidirect
22. #35543C2semidirect
23. #35281C2semidirect
24. #35275C2semidirect
25. #35275C2semidirect
26. #35265C2semidirect
27. #35265C2semidirect
30. #35132C2semidirect
45. #2868C22semidirect
46. #2868C22semidirect
47. #2864C22semidirect
48. #2864C22semidirect
49. #2862C22semidirect
50. #2859C22semidirect
51. #2859C22semidirect
52. #2859C22semidirect
56. #2845C22semidirect
57. #2844C22semidirect
58. #2843C22semidirect
59. #2843C22semidirect
61. #2806C22semidirect
62. #2802C22semidirect
63. #2792C22semidirect
64. #2792C22semidirect
65. #2792C22semidirect
66. #2791C22semidirect
67. #2791C22semidirect
71. #2774C22semidirect
72. #2774C22semidirect
75. #2755C22semidirect
76. #2734C22semidirect
77. #2734C22semidirect
81. #2726C22semidirect
85. #2713C22semidirect
86. #2713C22semidirect
87. #2713C22semidirect
92. #2666C22semidirect
93. #2666C22semidirect
94. #2666C22semidirect
95. #2666C22semidirect
96. #2660C22semidirect
97. #2660C22semidirect
98. #2660C22semidirect
99. #2660C22semidirect
100. #2660C22semidirect
101. #2660C22semidirect
102. #2660C22semidirect
104. #2647C22semidirect
105. #2647C22semidirect
106. #2647C22semidirect
107. #2647C22semidirect
108. #2647C22semidirect
115. #2612C22semidirect
116. #2612C22semidirect
117. #2584C22semidirect
118. #2584C22semidirect
120. #2571C22semidirect
121. #2570C22semidirect
122. #2570C22semidirect
123. #2570C22semidirect
124. #2570C22semidirect
125. #2567C22semidirect
126. #2567C22semidirect
127. #2567C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
133. #2552C22semidirect
134. #2552C22semidirect
135. #2551C22semidirect
136. #2551C22semidirect
137. #2551C22semidirect
138. #2551C22semidirect
139. #2551C22semidirect
140. #2551C22semidirect
141. #2551C22semidirect
142. #2551C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
150. #2546C22semidirect
151. #2546C22semidirect
152. #2546C22semidirect
153. #2509C22semidirect
154. #2509C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2508C22semidirect
158. #2508C22semidirect
159. #2507C22semidirect
160. #2507C22semidirect
161. #2507C22semidirect
162. #2507C22semidirect
163. #2507C22semidirect
164. #2506C22semidirect
165. #2506C22semidirect
166. #2506C22semidirect
167. #2506C22semidirect
168. #2506C22semidirect
352. C2×#117Q8semidirect
914. #117C2×Q8semidirect
915. #117C2×Q8semidirect
916. #117C2×Q8semidirect
935. C2×C4⋊C4C2×Q8semidirect
936. C2×C4⋊C4C2×Q8semidirect
1071. C2×C42C2×Q8semidirect
1597. C2×C4#544semidirect

Maximal subgroups

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

subgroupindex
#429732
#429722
#429332
#429322
#420002
#419992
#396232
#393682
#391782
#389632
#380972
#376852
#376232
#375612
#373142
#373132
#373122
#355762
#355662
#355552
#355432
#352812
#352752
#352652
#352532
#352242
#351322
#347392
C2×#24402
#341802
#341092
C2×#23172