Finite Group Databasebeta

← #7878857

Subgroups — #7878857

Order 512.

5027 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59458C211yesmaximal, characteristic, complemented
3#59457C212yesmaximal, complemented
4#59457C211yesmaximal, characteristic, complemented
5#59455C212yesmaximal, complemented
6#51592C214yesmaximal, complemented
7#47974C214yesmaximal, complemented
8#46443C214yesmaximal, complemented
9#44952C212yesmaximal, complemented
10#44948C212yesmaximal, complemented
11#44946C212yesmaximal, complemented
12#44908C212yesmaximal, complemented
13#43555C214yesmaximal, complemented
14#42931C212yesmaximal, complemented
15#42500C212yesmaximal, complemented
16#39981C212yesmaximal, complemented
17#39976C212yesmaximal, complemented
18#39754C211yesmaximal, characteristic, complemented
19#39626C211yesmaximal, characteristic, complemented
20#39611C212yesmaximal, complemented
21#39598C212yesmaximal, complemented
22#39497C211yesmaximal, characteristic, complemented
23#38966C211yesmaximal, characteristic, complemented
24#36563C211yesmaximal, characteristic, complemented
25#36559C211yesmaximal, characteristic, complemented
26#36261C211yesmaximal, characteristic, complemented
27#35950C212yesmaximal, complemented
28#35806C212yesmaximal, complemented
29#35581C212yesmaximal, complemented
30#35519C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34920C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic
34#34330C211yesmaximal, characteristic
35#34313C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#554C2212yes—
39C2×#554C2212yes—
40C2×#550C2211yescharacteristic
41C2×#533C2212yes—
42C2×#520C2212yes—
43#2868C2211yescharacteristic
44#2859C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2841C2214yes—
49#2807C2214yes—
50#2806C2214yes—
51#2804C2214yes—
52#2802C2214yes—
53#2792C2214yes—
54#2790C2214yes—
55#2790C2214yes—
56#2788C2214yes—
57#2784C2214yes—
58#2780C2214yes—
59#2780C2214yes—
60#2780C2214yes—
61#2780C2214yes—
62#2774C2214yes—
63#2768C2214yes—
64#2768C2214yes—
65#2768C2214yes—
66#2763C2214yes—
67#2732C2214yes—
68#2732C2214yes—
69#2732C2214yes—
70#2729C2214yes—
71#2720C2214yes—
72#2704C2214yes—
73#2704C2214yes—
74#2692C2214yes—
75#2692C2214yes—
76#2692C2214yes—
77#2692C2214yes—
78#2683C2214yes—
79#2683C2214yes—
80#2683C2214yes—
81#2683C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2660C2212yes—
85#2660C2212yes—
86#2659C2214yes—
87#2629C2212yes—
88#2629C2212yes—
89#2627C2214yes—
90#2608C2214yes—
91#2590C2212yes—
92#2588C2212yes—
93#2587C2214yes—
94#2584C2212yes—
95#2584C2211yescharacteristic
96#2584C2212yes—
97#2583C2214yes—
98#2583C2214yes—
99#2582C2212yes—
100#2582C2212yes—
101#2581C2212yes—
102#2581C2211yescharacteristic
103#2580C2214yes—
104#2580C2212yes—
105#2580C2212yes—
106#2579C2214yes—
107#2574C2214yes—
108#2571C2212yes—
109#2571C2211yescharacteristic
110#2570C2212yes—
111#2567C2212yes—
112#2567C2212yes—
113#2566C2212yes—
114#2566C2212yes—
115#2566C2212yes—
116#2566C2212yes—
117#2566C2212yes—
118#2566C2214yes—
119#2566C2212yes—
120#2565C2211yescharacteristic
121#2563C2212yes—
122#2556C2212yes—
123#2556C2212yes—
124#2552C2212yes—
125#2552C2211yescharacteristic
126#2552C2211yescharacteristic
127#2552C2212yes—
128#2552C2211yescharacteristic
129#2552C2211yescharacteristic
130#2551C2211yescharacteristic
131#2551C2211yescharacteristic
132#2550C2212yes—
133#2550C2212yes—
134#2550C2212yes—
135#2550C2212yes—
136#2550C2211yescharacteristic
137#2550C2212yes—
138#2549C2214yes—
139#2549C2214yes—
140#2549C2214yes—
141#2549C2214yes—
142#2546C2211yescharacteristic
143#2542C2212yes—
144#2542C2212yes—
145#2542C2211yescharacteristic
146#2538C2212yes—
147#2538C2212yes—
148#2538C2214yes—
149#2538C2212yes—
150#2538C2212yes—
151#2538C2211yescharacteristic
152#2538C2212yes—
153#2538C2212yes—
154#2520C2212yes—
155#2508C2212yes—
156#2508C2211yescharacteristic
157#2508C2212yes—
158#2507C2214yes—
159#2507C2212yes—
160#2507C2212yes—
161#2506C2211yescharacteristic
162#2506C2211yescharacteristic
163#2506C2211yescharacteristic
164#2502C2214yes—
165#2492C2212yes—
166#2465C2214yes—
167#2462C2212yes—
168#2454C2212yes—
169#2454C2212yes—
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yes—
173#2453C2211yescharacteristic
174#2453C2212yes—
175#2452C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2452C2211yescharacteristic
179#2452C2212yes—
180#2452C2212yes—
181#2452C2212yes—
182#2452C2212yes—
183#2452C2211yescharacteristic
184#2452C2212yes—
185#2452C2212yes—
186#2451C2212yes—
187#2451C2211yescharacteristic
188#2451C2214yes—
189#2450C2214yes—
190#2450C2214yes—
191#2450C2214yes—
192#2450C2214yes—
193#2450C2214yes—
194#2449C2214yes—
195#2449C2214yes—
196#2449C2214yes—
197#2449C2214yes—
198#2449C2214yes—
199#2449C2214yes—
200#2449C2214yes—
201#2442C2214yes—
202#2442C2212yes—
203#2441C2214yes—
204#2441C2212yes—
205#2440C2212yes—
206#2440C2214yes—
207#2440C2214yes—
208#2440C2212yes—
209#2440C2212yes—
210#2439C2212yes—
211#2439C2214yes—
212#2438C2214yes—
213#2438C2214yes—
214#2429C2212yes—
215#2429C2214yes—
216#2417C2214yes—
217#2417C2214yes—
218#2417C2214yes—
219#2417C2214yes—
220#2402C2212yes—
221#2399C2212yes—
222#2396C2212yes—
223#2396C2212yes—
224C2×#398C2214yes—
225#2377C2214yes—
226#2369C2212yes—
227#2366C2211yescharacteristic
228#2366C2212yes—
229#2366C2211yescharacteristic
230#2366C2212yes—
231#2366C2212yes—
232#2366C2211yescharacteristic
233#2364C2214yes—
234#2363C2212yes—
235#2361C2214yes—
236#2361C2212yes—
237#2361C2212yes—
238#2357C2212yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2354C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2212yes—
244#2349C2214yes—
245#2349C2212yes—
246#2349C2212yes—
247#2349C2212yes—
248#2349C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yes—
256#2341C2212yes—
257#2339C2212yes—
258#2339C2212yes—
259#2333C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2329C2214yes—
263#2328C2212yes—
264#2328C2212yes—
265#2325C2214yes—
266#2324C2214yes—
267#2324C2212yes—
268#2324C2212yes—
269#2319C2212yes—
270#2317C2212yes—
271#2317C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2212yes—
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2212yes—
283C4×#125C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×#121C2212yes—
287#2297C2212yes—
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2295C2211yescharacteristic
291#2293C2212yes—
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294C2×#389C2212yes—
295#2275C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300#554—48no—
301#554—48no—
302#554—48no—
303#554—48no—
304#550Q8116yescomplemented
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353#520—48no—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2314yes—
403C22×C42C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2312yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2312yes—
493#395C2314yes—
494#395C2314yes—
495#395C2312yes—
496#395C2314yes—
497#395C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2311yescharacteristic
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2314yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2314yes—
622#389C2311yescharacteristic
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2314yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2314yes—
727#384C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2314yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#381C2314yes—
740#381C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C2×#41—44no—
818C2×#41—44no—
819C2×#41C2×Q8116yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—82no—
857#127C2×Q818yes—
858#127C2×Q8116yes—
859#125—24no—
860#125—28no—
861#125—42no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—44no—
870C22⋊Q8—44no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—84no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891#121C2×Q8116yes—
892#121C2×Q8132yes—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—84no—
904C4×Q8C2×Q818yes—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—82no—
926C4×D4—82no—
927C4×D4—84no—
928C4×D4—84no—
929C4×D4C2×Q818yes—
930C4×D4C2×Q8116yes—
931#117—28no—
932#117—44no—
933#117—48no—
934#117—44no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—48no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4—48no—
941C2×C4⋊C4—48no—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—44no—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24C2512yes—
1181C24C2514yes—
1182#41—432no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—41no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8C22×Q814yes—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4C22×Q814yes—
1220C2×D4C22×Q818yes—
1221C2×D4C22×Q818yes—
1222C2×D4C22×Q8116yes—
1223C2×D4C22×Q818yes—
1224C2×D4C22×Q8116yes—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4C22×Q818yes—
1260C22×C4C22×Q8116yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
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—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4C22×Q814yes—
1388C4⋊C4C22×Q818yes—
1389C4⋊C4C22×Q814yes—
1390C4⋊C42−1+414yes—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4C22×Q818yes—
1424C22⋊C4C22×Q8116yes—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—41no—
1449C42—41no—
1450C42—44no—
1451C42—44no—
1452C42—42no—
1453C42—41no—
1454C42—41no—
1455C42—42no—
1456C42—41no—
1457C42C22×Q818yes—
1458C42C22×Q814yes—
1459C42H(5,𝔽2)14yes—
1460C42H(5,𝔽2)14yes—
1461C23—22no—
1462C23—22no—
1463C23—24no—
1464C23—24no—
1465C23—22no—
1466C23—24no—
1467C23—24no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—24no—
1473C23C23×Q814yes—
1474C23C23×Q818yes—
1475C23C2611yescharacteristic
1476Q8—28no—
1477Q8—44no—
1478Q8—48no—
1479Q8—84no—
1480Q8—84no—
1481Q8—84no—
1482Q8—164no—
1483Q8—164no—
1484D4—216no—
1485D4—28no—
1486D4—216no—
1487D4—48no—
1488D4—416no—
1489D4—416no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—216no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—416no—
1575C2×C4—88no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—88no—
1579C2×C4—88no—
1580C2×C4—88no—
1581C2×C4—164no—
1582C2×C4—164no—
1583C2×C4—164no—
1584C2×C4—164no—
1585C2×C4C23×Q812yes—
1586C2×C4C23×Q814yes—
1587C2×C4C23×Q814yes—
1588C2×C4C23×Q814yes—
1589C2×C4C23×Q812yes—
1590C2×C4C23×Q812yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×2−1+414yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C22—24no—
1602C22—28no—
1603C22—24no—
1604C22—28no—
1605C22—24no—
1606C22—28no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22C24×Q811yescharacteristic
1616C22C22×H(5,𝔽2)11yescharacteristic
1617C22C22×H(5,𝔽2)11yescharacteristic
1618C22C22×2−1+411yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22H(7,𝔽2)11yescharacteristic
1622C4—22no—
1623C4—24no—
1624C4—24no—
1625C4—24no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—24no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—42no—
1634C4—41no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—44no—
1649C4—44no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4#350114yes—
1654C4#350314yes—
1655C2—44no—
1656C2—48no—
1657C2C2×#350111yescharacteristic
1658C2C2×#350311yescharacteristic
1659C2#6283411yescharacteristic
1660C2#6294411yescharacteristic
1661C2#6295511yescharacteristic
1662C2#6298911yescharacteristic
1663C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#550C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59823C2semidirect
2. #59458C2semidirect
3. #59457C2semidirect
4. #59457C2semidirect
5. #59455C2semidirect
6. #51592C2semidirect
7. #47974C2semidirect
8. #46443C2semidirect
9. #44952C2semidirect
10. #44948C2semidirect
11. #44946C2semidirect
12. #44908C2semidirect
13. #43555C2semidirect
14. #42931C2semidirect
15. #42500C2semidirect
16. #39981C2semidirect
17. #39976C2semidirect
18. #39754C2semidirect
19. #39626C2semidirect
20. #39611C2semidirect
21. #39598C2semidirect
22. #39497C2semidirect
23. #38966C2semidirect
24. #36563C2semidirect
25. #36559C2semidirect
26. #36261C2semidirect
27. #35950C2semidirect
28. #35806C2semidirect
29. #35581C2semidirect
30. #35519C2semidirect
31. #34929C2semidirect
32. #34920C2semidirect
304. #550Q8semidirect

Maximal subgroups

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

subgroupindex
#598232
#594582
#594572
#594552
#515922
#479742
#464432
#449522
#449482
#449462
#449082
#435552
#429312
#425002
#399812
#399762
#397542
#396262
#396112
#395982
#394972
#389662
#365632
#365592
#362612
#359502
#358062
#355812
#355192
#349292
#349202
#344942
#343302
#343132