Finite Group Databasebeta

← #7632772

Subgroups — #7632772

Order 512.

4898 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36481C212yesmaximal, complemented
2#36478C212yesmaximal, complemented
3#36287C212yesmaximal, complemented
4#36284C212yesmaximal, complemented
5#36282C214yesmaximal, complemented
6#36280C214yesmaximal, complemented
7#35839C214yesmaximal
8#35788C212yesmaximal, complemented
9#35783C212yesmaximal, complemented
10#35779C214yesmaximal
11#35708C212yesmaximal, complemented
12#35708C212yesmaximal, complemented
13#35641C212yesmaximal, complemented
14#35640C211yesmaximal, characteristic, complemented
15#35579C212yesmaximal, complemented
16#35579C212yesmaximal, complemented
17#35578C212yesmaximal, complemented
18#35566C211yesmaximal, characteristic, complemented
19#35555C211yesmaximal, characteristic, complemented
20#35543C211yesmaximal, characteristic, complemented
21#35253C211yesmaximal, characteristic
22#35213C212yesmaximal, complemented
23#35202C212yesmaximal, complemented
24#35151C211yesmaximal, characteristic
25#34978C212yesmaximal, complemented
26#34912C212yesmaximal, complemented
27#34739C211yesmaximal, characteristic
28C2×#2441C211yesmaximal, characteristic
29#34272C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34217C211yesmaximal, characteristic, complemented
32#34214C211yesmaximal, characteristic, complemented
33#34180C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic
35#33996C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C22×#117C2211yescharacteristic
41C22×#117C2211yescharacteristic
42C22×#117C2211yescharacteristic
43#2864C2214yescomplemented
44#2863C2214yescomplemented
45#2863C2214yescomplemented
46#2859C2214yescomplemented
47#2857C2212yes—
48#2855C2214yes—
49#2851C2212yes—
50#2667C2214yes—
51#2667C2214yes—
52#2667C2214yes—
53#2665C2214yes—
54#2629C2212yes—
55#2628C2212yes—
56#2626C2214yes—
57#2612C2214yescomplemented
58#2612C2214yescomplemented
59#2612C2214yescomplemented
60#2612C2214yescomplemented
61#2608C2214yes—
62#2608C2214yes—
63#2607C2214yes—
64#2607C2214yes—
65#2606C2214yescomplemented
66#2606C2214yescomplemented
67#2606C2214yescomplemented
68#2605C2214yescomplemented
69#2590C2214yescomplemented
70#2590C2214yescomplemented
71#2589C2214yes—
72#2589C2214yes—
73#2588C2214yescomplemented
74#2588C2214yescomplemented
75#2587C2214yes—
76#2587C2214yes—
77#2586C2214yescomplemented
78#2585C2214yescomplemented
79#2585C2214yescomplemented
80#2585C2214yescomplemented
81#2584C2212yescomplemented
82#2584C2212yescomplemented
83#2583C2214yes—
84#2574C2214yes—
85#2571C2212yescomplemented
86#2570C2212yescomplemented
87#2570C2212yescomplemented
88#2570C2212yescomplemented
89#2570C2212yescomplemented
90#2567C2212yescomplemented
91#2556C2214yes—
92#2556C2214yes—
93#2556C2214yes—
94#2552C2212yescomplemented
95#2552C2212yescomplemented
96#2552C2212yescomplemented
97#2552C2212yescomplemented
98#2552C2212yescomplemented
99#2552C2212yescomplemented
100#2552C2212yescomplemented
101#2552C2212yescomplemented
102#2551C2212yescomplemented
103#2550C2212yescomplemented
104#2550C2212yescomplemented
105#2550C2212yescomplemented
106#2550C2212yescomplemented
107#2550C2212yescomplemented
108#2550C2212yescomplemented
109#2549C2214yes—
110#2546C2212yescomplemented
111#2522C2214yes—
112#2522C2214yes—
113#2522C2214yes—
114#2520C2214yescomplemented
115#2511C2214yescomplemented
116#2509C2212yescomplemented
117#2508C2212yescomplemented
118#2507C2212yescomplemented
119#2507C2214yescomplemented
120#2507C2214yescomplemented
121#2507C2212yescomplemented
122#2507C2212yescomplemented
123#2506C2212yescomplemented
124#2506C2212yescomplemented
125#2506C2212yescomplemented
126#2505C2214yes—
127#2502C2214yes—
128#2497C2214yes—
129#2473C2214yes—
130#2473C2214yes—
131#2473C2214yes—
132#2465C2214yes—
133#2462C2214yescomplemented
134#2462C2214yescomplemented
135#2462C2214yescomplemented
136#2451C2214yescomplemented
137#2442C2211yescharacteristic
138#2442C2212yes—
139#2442C2211yescharacteristic
140#2441C2212yes—
141#2441C2212yes—
142#2441C2212yes—
143#2441C2212yes—
144#2441C2212yes—
145#2441C2212yes—
146#2441C2212yes—
147#2441C2214yes—
148#2441C2212yes—
149#2441C2212yes—
150#2441C2214yes—
151#2441C2212yes—
152#2441C2212yes—
153#2441C2211yescharacteristic
154#2441C2212yes—
155#2441C2214yes—
156#2441C2211yescharacteristic
157#2441C2212yes—
158#2440C2211yescharacteristic
159#2440C2211yescharacteristic
160#2440C2212yes—
161#2440C2214yes—
162#2439C2212yes—
163#2439C2212yes—
164#2439C2212yes—
165#2439C2212yes—
166#2439C2211yescharacteristic
167#2439C2212yes—
168#2439C2211yescharacteristic
169#2439C2214yes—
170#2438C2212yes—
171#2438C2212yes—
172#2438C2214yes—
173#2437C2212yes—
174#2437C2212yes—
175#2437C2214yes—
176#2429C2214yes—
177#2423C2214yes—
178#2423C2214yes—
179#2396C2214yes—
180#2396C2214yes—
181#2396C2214yes—
182#2396C2212yes—
183#2396C2212yes—
184#2396C2214yes—
185C2×#399C2212yes—
186C2×#396C2212yes—
187#2370C2212yescomplemented
188#2370C2212yescomplemented
189#2370C2212yescomplemented
190#2370C2212yescomplemented
191#2370C2212yescomplemented
192#2370C2212yescomplemented
193#2370C2212yescomplemented
194#2370C2212yescomplemented
195#2369C2212yescomplemented
196#2369C2212yescomplemented
197#2368C2214yes—
198#2368C2214yes—
199#2365C2212yescomplemented
200#2365C2212yescomplemented
201#2360C2214yes—
202#2360C2214yes—
203#2360C2214yes—
204#2360C2214yes—
205#2355C2212yescomplemented
206#2355C2212yescomplemented
207Q8×C4⋊C4C2212yescomplemented
208Q8×C4⋊C4C2212yescomplemented
209#2347C2211yescharacteristic
210#2347C2211yescharacteristic
211#2347C2212yes—
212#2346C2211yescharacteristic
213#2346C2211yescharacteristic
214#2346C2212yes—
215#2345C2211yescharacteristic
216#2345C2211yescharacteristic
217#2345C2212yes—
218#2345C2214yes—
219#2345C2214yes—
220#2344C2211yescharacteristic
221#2344C2211yescharacteristic
222#2344C2212yes—
223#2343C2212yes—
224#2343C2212yes—
225#2343C2214yes—
226#2342C2212yes—
227#2342C2212yes—
228#2342C2214yes—
229#2331C2212yescomplemented
230#2331C2212yescomplemented
231#2330C2212yescomplemented
232#2330C2212yescomplemented
233#2330C2212yescomplemented
234#2330C2212yescomplemented
235#2330C2212yescomplemented
236#2330C2212yescomplemented
237#2317C2211yescharacteristic
238#2317C2211yescharacteristic
239#2317C2211yescharacteristic
240#2317C2211yescharacteristic
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2316C2211yescharacteristic
244#2316C2211yescharacteristic
245#2314C2212yes—
246#2314C2212yes—
247C4×C4⋊Q8C2212yescomplemented
248C4×C4⋊Q8C2212yescomplemented
249C4×C4⋊Q8C2214yescomplemented
250C4×C4⋊Q8C2212yescomplemented
251C4×C4⋊Q8C2212yescomplemented
252C4×#125C2212yescomplemented
253C4×#125C2212yescomplemented
254C4×#125C2212yescomplemented
255C4×#125C2214yescomplemented
256C4×#125C2212yescomplemented
257C4×C22⋊Q8C2212yes—
258C4×C22⋊Q8C2212yes—
259#2298C2212yes—
260#2298C2212yes—
261#2296C2211yescharacteristic
262#2296C2211yescharacteristic
263#2296C2211yescharacteristic
264#2296C2211yescharacteristic
265#2295C2214yescomplemented
266#2295C2214yescomplemented
267C2×#389C2212yes—
268C2×#389C2211yescharacteristic
269C2×#389C2211yescharacteristic
270C2×#387C2212yes—
271#2285C2212yes—
272#2285C2211yescharacteristic
273C2×#384C2211yescharacteristic
274#2283C2212yes—
275#2283C2212yes—
276#2280C2211yescharacteristic
277#2280C2211yescharacteristic
278C2×#380C2211yescharacteristic
279#2274C2211yescharacteristic
280#2274C2212yes—
281#2274C2212yes—
282#2274C2212yes—
283#2274C2211yescharacteristic
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2274C2212yes—
289#2273C2214yes—
290C4×#117C2212yes—
291C4×#117C2211yescharacteristic
292C4×#117C2211yescharacteristic
293C4×#117C2212yes—
294C4×#117C2212yes—
295C4×#117C2212yes—
296C4×#117C2214yes—
297C4×#117C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C24×C4C2311yescharacteristic
300#544—28no—
301#544—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×#125—28no—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2314yes—
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2314yes—
336C2×C4×Q8C2314yes—
337C2×#117—28no—
338C2×#117—28no—
339C2×#117Q8116yescomplemented
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2314yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C42C2312yes—
384C22×C42C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2312yes—
455#393C2314yes—
456#393C2314yes—
457#393C2312yes—
458#393C2314yes—
459#393C2312yes—
460#391C2312yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#389C2311yescharacteristic
478#389C2311yescharacteristic
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2314yes—
486#389C2314yes—
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
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#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2312yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#384C2312yes—
649#384C2312yes—
650#384C2312yes—
651#384C2314yes—
652#384C2314yes—
653#384C2312yes—
654#384C2312yes—
655#384C2311yescharacteristic
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2314yes—
661#384C2312yes—
662#384C2312yes—
663#383C2314yes—
664#383C2312yes—
665#383C2312yes—
666#382C2311yescharacteristic
667#382C2311yescharacteristic
668#382C2312yes—
669#382C2312yes—
670#382C2314yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2314yes—
677#382C2312yes—
678#381C2312yes—
679#381C2314yes—
680#381C2312yes—
681#381C2312yes—
682#381C2312yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2312yes—
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2314yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2311yescharacteristic
705#379C2312yes—
706#379C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2311yescharacteristic
809C2×#95C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2314yes—
816C43C2314yes—
817C25C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C23×C4—24no—
823C23×C4—24no—
824C23×C4C2×Q818yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—48no—
850#125—28no—
851#125—28no—
852#125—28no—
853#125—28no—
854#125—24no—
855#125—24no—
856#125—28no—
857#125—28no—
858#125—28no—
859#125—28no—
860#125—48no—
861#125—84no—
862#125—84no—
863C22⋊Q8—216no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—84no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—48no—
873C4×Q8—48no—
874C4×Q8—84no—
875C4×Q8—84no—
876#117—24no—
877#117—24no—
878#117—24no—
879#117—24no—
880#117—24no—
881#117—24no—
882#117—24no—
883#117—28no—
884#117—28no—
885#117—28no—
886#117—28no—
887#117—28no—
888#117—28no—
889#117—44no—
890#117—44no—
891#117—84no—
892#117C2×Q8116yes—
893#117C2×Q8116yes—
894#117C2×Q818yes—
895#117C2×Q818yes—
896#117C2×Q818yes—
897#117C2×Q818yes—
898#117#4118yes—
899C2×C4⋊C4—24no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4—24no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—24no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—82no—
909C2×C4⋊C4—82no—
910C2×C4⋊C4C2×Q818yes—
911C2×C4⋊C4C2×Q818yes—
912C2×C4⋊C4#4118yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—42no—
1004C2×C22⋊C4—42no—
1005C2×C22⋊C4—82no—
1006C2×C22⋊C4C2×Q8116yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C42—28no—
1040C2×C42—24no—
1041C2×C42—24no—
1042C2×C42—28no—
1043C2×C42C2×Q8116yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2414yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
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#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24C22×Q814yes—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C24C2511yescharacteristic
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—28no—
1177C2×Q8—28no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—232no—
1189C22×C4—22no—
1190C22×C4—22no—
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—42no—
1209C22×C4—41no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4C22×Q814yes—
1231C22×C4C22×Q814yes—
1232C22×C4C22×Q814yes—
1233C22×C4C22×Q814yes—
1234C22×C4C22×Q814yes—
1235C22×C4C22×Q818yes—
1236C22×C4C22×Q818yes—
1237C22×C4C22×Q814yes—
1238C22×C4C2×#4118yes—
1239C22×C4C2×#4114yes—
1240C22×C4C2×#4114yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4C22×Q818yes—
1352C4⋊C4C22×Q818yes—
1353C4⋊C4C22×Q814yes—
1354C4⋊C4C22×Q814yes—
1355C4⋊C4C22×Q814yes—
1356C4⋊C4C22×Q814yes—
1357C4⋊C4C2×#4114yes—
1358C4⋊C4C2×#4114yes—
1359C4⋊C4C2×#4118yes—
1360C4⋊C4C2×#4118yes—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4C22×Q818yes—
1389C22⋊C4C22×Q818yes—
1390C22⋊C4C22×Q818yes—
1391C22⋊C4C22×Q818yes—
1392C22⋊C4C2×#4118yes—
1393C42—28no—
1394C42—28no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—44no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—42no—
1417C42—42no—
1418C42—44no—
1419C42—44no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—42no—
1425C42—44no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42C22×Q818yes—
1431C42C22×Q818yes—
1432C42C22×Q818yes—
1433C42C22×Q818yes—
1434C42C2×#4118yes—
1435C23—21no—
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—21no—
1451C23—28no—
1452C23—44no—
1453C23—44no—
1454C23—82no—
1455C23—82no—
1456C23—82no—
1457C23—82no—
1458C23C23×Q812yes—
1459C23C23×Q812yes—
1460C23C23×Q812yes—
1461C23C22×#4112yes—
1462C23C22×#4112yes—
1463C23C2611yescharacteristic
1464Q8—48no—
1465Q8—48no—
1466Q8—88no—
1467Q8—88no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—28no—
1491C2×C4—28no—
1492C2×C4—28no—
1493C2×C4—28no—
1494C2×C4—28no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—82no—
1560C2×C4—84no—
1561C2×C4—82no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4#533116yes—
1565C2×C4C23×Q812yes—
1566C2×C4C23×Q814yes—
1567C2×C4C23×Q814yes—
1568C2×C4C23×Q814yes—
1569C2×C4C23×Q814yes—
1570C2×C4C23×Q812yes—
1571C2×C4C23×Q812yes—
1572C2×C4C23×Q812yes—
1573C2×C4C22×#4118yes—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4114yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—88no—
1603C22C2×#53314yes—
1604C22C24×Q811yescharacteristic
1605C22C23×#4111yescharacteristic
1606C22C23×#4111yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22H(7,𝔽2)11yescharacteristic
1610C222−1+611yescharacteristic
1611C4—28no—
1612C4—22no—
1613C4—24no—
1614C4—22no—
1615C4—24no—
1616C4—24no—
1617C4—24no—
1618C4—24no—
1619C4—24no—
1620C4—22no—
1621C4—22no—
1622C4—41no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—41no—
1634C4—41no—
1635C4—44no—
1636C4—41no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4C2×#53314yes—
1642C4C2×#53314yes—
1643C2—24no—
1644C2—42no—
1645C2—42no—
1646C2C22×#53311yescharacteristic
1647C2#6281311yescharacteristic
1648C2#6285411yescharacteristic
1649C2#6299111yescharacteristic
1650C2#6299311yescharacteristic
1651C2#6300611yescharacteristic
1652C2#6300811yescharacteristic
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. #36481C2semidirect
2. #36478C2semidirect
3. #36287C2semidirect
4. #36284C2semidirect
5. #36282C2semidirect
6. #36280C2semidirect
8. #35788C2semidirect
9. #35783C2semidirect
11. #35708C2semidirect
12. #35708C2semidirect
13. #35641C2semidirect
14. #35640C2semidirect
15. #35579C2semidirect
16. #35579C2semidirect
17. #35578C2semidirect
18. #35566C2semidirect
19. #35555C2semidirect
20. #35543C2semidirect
22. #35213C2semidirect
23. #35202C2semidirect
25. #34978C2semidirect
26. #34912C2semidirect
29. #34272C2semidirect
30. #34272C2semidirect
31. #34217C2semidirect
32. #34214C2semidirect
43. #2864C22semidirect
44. #2863C22semidirect
45. #2863C22semidirect
46. #2859C22semidirect
57. #2612C22semidirect
58. #2612C22semidirect
59. #2612C22semidirect
60. #2612C22semidirect
65. #2606C22semidirect
66. #2606C22semidirect
67. #2606C22semidirect
68. #2605C22semidirect
69. #2590C22semidirect
70. #2590C22semidirect
73. #2588C22semidirect
74. #2588C22semidirect
77. #2586C22semidirect
78. #2585C22semidirect
79. #2585C22semidirect
80. #2585C22semidirect
81. #2584C22semidirect
82. #2584C22semidirect
85. #2571C22semidirect
86. #2570C22semidirect
87. #2570C22semidirect
88. #2570C22semidirect
89. #2570C22semidirect
90. #2567C22semidirect
94. #2552C22semidirect
95. #2552C22semidirect
96. #2552C22semidirect
97. #2552C22semidirect
98. #2552C22semidirect
99. #2552C22semidirect
100. #2552C22semidirect
101. #2552C22semidirect
102. #2551C22semidirect
103. #2550C22semidirect
104. #2550C22semidirect
105. #2550C22semidirect
106. #2550C22semidirect
107. #2550C22semidirect
108. #2550C22semidirect
110. #2546C22semidirect
114. #2520C22semidirect
115. #2511C22semidirect
116. #2509C22semidirect
117. #2508C22semidirect
118. #2507C22semidirect
119. #2507C22semidirect
120. #2507C22semidirect
121. #2507C22semidirect
122. #2507C22semidirect
123. #2506C22semidirect
124. #2506C22semidirect
125. #2506C22semidirect
133. #2462C22semidirect
134. #2462C22semidirect
135. #2462C22semidirect
136. #2451C22semidirect
187. #2370C22semidirect
188. #2370C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2370C22semidirect
192. #2370C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2369C22semidirect
196. #2369C22semidirect
199. #2365C22semidirect
200. #2365C22semidirect
205. #2355C22semidirect
206. #2355C22semidirect
207. Q8×C4⋊C4C22semidirect
208. Q8×C4⋊C4C22semidirect
229. #2331C22semidirect
230. #2331C22semidirect
231. #2330C22semidirect
232. #2330C22semidirect
233. #2330C22semidirect
234. #2330C22semidirect
235. #2330C22semidirect
236. #2330C22semidirect
247. C4×C4⋊Q8C22semidirect
248. C4×C4⋊Q8C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×C4⋊Q8C22semidirect
251. C4×C4⋊Q8C22semidirect
252. C4×#125C22semidirect
253. C4×#125C22semidirect
254. C4×#125C22semidirect
255. C4×#125C22semidirect
256. C4×#125C22semidirect
265. #2295C22semidirect
266. #2295C22semidirect
339. C2×#117Q8semidirect

Maximal subgroups

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

subgroupindex
#364812
#364782
#362872
#362842
#362822
#362802
#358392
#357882
#357832
#357792
#357082
#356412
#356402
#355792
#355782
#355662
#355552
#355432
#352532
#352132
#352022
#351512
#349782
#349122
#347392
C2×#24412
#342722
#342172
#342142
#341802
#341092
#339962