Finite Group Databasebeta

← #7880531

Subgroups — #7880531

Order 512.

4865 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59871C211yesmaximal, characteristic, complemented
2#59569C212yesmaximal, complemented
3#59459C211yesmaximal, characteristic, complemented
4#59456C211yesmaximal, characteristic, complemented
5#59321C212yesmaximal, complemented
6#50697C214yesmaximal, complemented
7#48858C214yesmaximal, complemented
8#46441C214yesmaximal, complemented
9#45275C212yesmaximal, complemented
10#45272C212yesmaximal, complemented
11#45110C212yesmaximal, complemented
12#44946C212yesmaximal, complemented
13#43133C214yesmaximal, complemented
14#42930C212yesmaximal, complemented
15#42489C212yesmaximal, complemented
16#39980C212yesmaximal, complemented
17#39689C212yesmaximal, complemented
18#39590C212yesmaximal, complemented
19#39498C211yesmaximal, characteristic, complemented
20#39370C211yesmaximal, characteristic, complemented
21#39369C211yesmaximal, characteristic, complemented
22#39178C212yesmaximal, complemented
23#38966C211yesmaximal, characteristic, complemented
24#36560C211yesmaximal, characteristic, complemented
25#36416C211yesmaximal, characteristic, complemented
26#36180C211yesmaximal, characteristic, complemented
27#35816C212yesmaximal, complemented
28#35783C212yesmaximal, complemented
29#35566C212yesmaximal, complemented
30#35532C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic
34#34316C211yesmaximal, characteristic
35#34308C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#554C2212yes—
38C2×#547C2211yescharacteristic
39C2×#544C2212yes—
40C2×#544C2212yes—
41C2×#533C2212yes—
42C2×#520C2212yes—
43#2868C2211yescharacteristic
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2851C2212yes—
48#2841C2214yes—
49#2807C2214yes—
50#2806C2214yes—
51#2804C2214yes—
52#2802C2214yes—
53#2802C2214yes—
54#2792C2214yes—
55#2792C2214yes—
56#2791C2214yes—
57#2791C2214yes—
58#2790C2214yes—
59#2788C2214yes—
60#2780C2214yes—
61#2774C2214yes—
62#2768C2214yes—
63#2763C2214yes—
64#2755C2214yes—
65#2748C2214yes—
66#2732C2214yes—
67#2732C2214yes—
68#2729C2214yes—
69#2729C2214yes—
70#2729C2214yes—
71#2726C2214yes—
72#2720C2214yes—
73#2720C2214yes—
74#2720C2214yes—
75#2713C2214yes—
76#2704C2214yes—
77#2692C2214yes—
78#2692C2214yes—
79#2692C2214yes—
80#2677C2214yes—
81#2677C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2646C2214yes—
85#2629C2212yes—
86#2629C2212yes—
87#2629C2214yes—
88#2628C2212yes—
89#2628C2212yes—
90#2607C2214yes—
91#2589C2214yes—
92#2589C2212yes—
93#2588C2214yes—
94#2587C2214yes—
95#2587C2212yes—
96#2587C2214yes—
97#2586C2214yes—
98#2586C2214yes—
99#2585C2214yes—
100#2584C2212yes—
101#2584C2212yes—
102#2584C2212yes—
103#2584C2212yes—
104#2584C2211yescharacteristic
105#2584C2212yes—
106#2582C2212yes—
107#2582C2212yes—
108#2580C2212yes—
109#2580C2212yes—
110#2580C2211yescharacteristic
111#2574C2214yes—
112#2571C2211yescharacteristic
113#2568C2212yes—
114#2567C2212yes—
115#2567C2212yes—
116#2567C2212yes—
117#2567C2212yes—
118#2566C2212yes—
119#2566C2211yescharacteristic
120#2566C2212yes—
121#2566C2214yes—
122#2565C2212yes—
123#2565C2212yes—
124#2565C2212yes—
125#2556C2214yes—
126#2556C2212yes—
127#2556C2212yes—
128#2556C2214yes—
129#2552C2212yes—
130#2552C2211yescharacteristic
131#2552C2211yescharacteristic
132#2552C2212yes—
133#2552C2212yes—
134#2552C2211yescharacteristic
135#2552C2211yescharacteristic
136#2552C2214yes—
137#2551C2211yescharacteristic
138#2551C2214yes—
139#2551C2211yescharacteristic
140#2551C2212yes—
141#2550C2214yes—
142#2550C2212yes—
143#2550C2211yescharacteristic
144#2550C2214yes—
145#2549C2214yes—
146#2549C2214yes—
147#2546C2212yes—
148#2546C2212yes—
149#2546C2211yescharacteristic
150#2546C2212yes—
151#2542C2212yes—
152#2542C2211yescharacteristic
153#2538C2214yes—
154#2538C2211yescharacteristic
155#2538C2212yes—
156#2522C2214yes—
157#2522C2212yes—
158#2511C2214yes—
159#2509C2211yescharacteristic
160#2509C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2507C2212yes—
164#2507C2211yescharacteristic
165#2507C2214yes—
166#2506C2212yes—
167#2506C2212yes—
168#2506C2212yes—
169#2506C2211yescharacteristic
170#2506C2211yescharacteristic
171#2506C2212yes—
172#2506C2212yes—
173#2506C2212yes—
174#2502C2214yes—
175#2502C2214yes—
176#2492C2212yes—
177#2473C2214yes—
178#2473C2214yes—
179#2465C2212yes—
180#2462C2214yes—
181#2454C2212yes—
182#2454C2212yes—
183#2454C2211yescharacteristic
184#2454C2214yes—
185#2453C2212yes—
186#2452C2214yes—
187#2452C2211yescharacteristic
188#2452C2212yes—
189#2452C2211yescharacteristic
190#2452C2211yescharacteristic
191#2452C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2449C2214yes—
196#2449C2214yes—
197#2449C2214yes—
198#2449C2214yes—
199#2442C2212yes—
200#2442C2214yes—
201#2442C2212yes—
202#2442C2212yes—
203#2441C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2441C2214yes—
207#2441C2212yes—
208#2441C2214yes—
209#2440C2214yes—
210#2440C2214yes—
211#2440C2214yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2214yes—
216#2439C2212yes—
217#2439C2212yes—
218#2429C2212yes—
219#2429C2214yes—
220#2396C2212yes—
221#2396C2212yes—
222#2396C2212yes—
223#2396C2212yes—
224#2396C2214yes—
225#2376C2214yes—
226#2374C2214yes—
227#2370C2212yes—
228#2370C2212yes—
229#2369C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2365C2211yescharacteristic
234#2365C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2362C2212yes—
238#2361C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2359C2214yes—
242#2355C2212yes—
243#2355C2212yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254#2345C2212yes—
255#2345C2212yes—
256#2345C2214yes—
257#2344C2212yes—
258#2341C2212yes—
259#2341C2212yes—
260#2339C2212yes—
261#2335C2214yes—
262#2335C2214yes—
263#2329C2214yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2317C2212yes—
270#2317C2212yes—
271#2316C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×#121C2212yes—
286#2297C2212yes—
287#2296C2212yes—
288#2296C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293C2×#389C2212yes—
294C2×#384C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300#557—48no—
301#554—48no—
302#547Q8116yescomplemented
303#544—48no—
304#544—48no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2314yes—
335C2×#123C2314yes—
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⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×#121C2312yes—
352#520—48no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2312yes—
393C22×C42C2312yes—
394C22×C42C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#399C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2312yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#393C2312yes—
493#393C2312yes—
494#393C2312yes—
495#393C2314yes—
496#393C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2311yescharacteristic
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2314yes—
717#384C2312yes—
718#384C2314yes—
719#384C2314yes—
720#384C2312yes—
721#384C2314yes—
722#384C2312yes—
723#384C2312yes—
724#384C2314yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#382C2314yes—
733#381C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C2×#41—44no—
818C2×#41—44no—
819C2×#41C2×Q8116yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—28no—
844C4⋊Q8—42no—
845C4⋊Q8—42no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—48no—
853C4⋊Q8—48no—
854C4⋊Q8—48no—
855C4⋊Q8C2×Q818yes—
856#125—24no—
857#125—24no—
858#125—28no—
859#125—44no—
860#125—44no—
861#125—44no—
862#125—44no—
863#125—48no—
864#125—44no—
865#125—44no—
866#125—44no—
867#125—48no—
868#125—48no—
869#125—48no—
870#123C2×Q8132yes—
871C22⋊Q8—44no—
872C22⋊Q8—48no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
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—44no—
884C22⋊Q8—48no—
885C22⋊Q8C2×Q8116yes—
886#121C2×Q8116yes—
887C4×Q8—28no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—48no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—48no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4C2×Q818yes—
911C4×D4C2×Q818yes—
912#117—28no—
913#117—28no—
914#117—28no—
915#117—44no—
916#117—44no—
917#117—48no—
918#117—44no—
919#117—44no—
920C2×C4⋊C4—48no—
921C2×C4⋊C4—48no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4C2×Q8116yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C42—44no—
1062C2×C42—44no—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2512yes—
1172C24C2512yes—
1173#41—432no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—28no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—41no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8C22×Q818yes—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4C22×Q814yes—
1205C2×D4C22×Q814yes—
1206C2×D4C22×Q8116yes—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4C22×Q818yes—
1235C22×C4C22×Q818yes—
1236C22×C4C22×Q8116yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2514yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—41no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4C22×Q814yes—
1367C4⋊C4C22×Q818yes—
1368C4⋊C4C22×Q8116yes—
1369C4⋊C4C22×Q814yes—
1370C4⋊C4C22×Q818yes—
1371C4⋊C42−1+414yes—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4C22×Q818yes—
1402C22⋊C4C22×Q818yes—
1403C22⋊C4C22×Q8116yes—
1404C42—22no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—28no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—28no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—41no—
1428C42—41no—
1429C42—41no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—41no—
1435C42—41no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42C22×Q814yes—
1440C42H(5,𝔽2)14yes—
1441C42H(5,𝔽2)14yes—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23C23×Q814yes—
1455C23C23×Q814yes—
1456C23C2611yescharacteristic
1457Q8—216no—
1458Q8—44no—
1459Q8—84no—
1460Q8—84no—
1461Q8—88no—
1462Q8—84no—
1463Q8—84no—
1464Q8—164no—
1465D4—28no—
1466D4—28no—
1467D4—416no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—216no—
1489C2×C4—216no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—416no—
1554C2×C4—48no—
1555C2×C4—48no—
1556C2×C4—84no—
1557C2×C4—84no—
1558C2×C4—164no—
1559C2×C4—164no—
1560C2×C4—164no—
1561C2×C4C23×Q812yes—
1562C2×C4C23×Q814yes—
1563C2×C4C23×Q814yes—
1564C2×C4C23×Q818yes—
1565C2×C4C23×Q812yes—
1566C2×C4C23×Q812yes—
1567C2×C4C2×H(5,𝔽2)12yes—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C2×C4C2×H(5,𝔽2)12yes—
1570C2×C4C2×H(5,𝔽2)12yes—
1571C2×C4C2×H(5,𝔽2)12yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×2−1+414yes—
1574C2×C4C2×2−1+412yes—
1575C2×C4#58512yes—
1576C2×C4#58512yes—
1577C22—24no—
1578C22—24no—
1579C22—24no—
1580C22—24no—
1581C22—24no—
1582C22—24no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22C24×Q811yescharacteristic
1592C22C22×H(5,𝔽2)11yescharacteristic
1593C22C22×H(5,𝔽2)11yescharacteristic
1594C22C22×2−1+411yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C222−1+611yescharacteristic
1598C4—22no—
1599C4—24no—
1600C4—28no—
1601C4—22no—
1602C4—24no—
1603C4—24no—
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—41no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—44no—
1613C4—42no—
1614C4—42no—
1615C4—44no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—42no—
1627C4—41no—
1628C4—44no—
1629C4#350114yes—
1630C4#350314yes—
1631C2—44no—
1632C2—44no—
1633C2C2×#350111yescharacteristic
1634C2C2×#350311yescharacteristic
1635C2#6283411yescharacteristic
1636C2#6292511yescharacteristic
1637C2#6294611yescharacteristic
1638C2#6300411yescharacteristic
1639C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59871C2semidirect
2. #59569C2semidirect
3. #59459C2semidirect
4. #59456C2semidirect
5. #59321C2semidirect
6. #50697C2semidirect
7. #48858C2semidirect
8. #46441C2semidirect
9. #45275C2semidirect
10. #45272C2semidirect
11. #45110C2semidirect
12. #44946C2semidirect
13. #43133C2semidirect
14. #42930C2semidirect
15. #42489C2semidirect
16. #39980C2semidirect
17. #39689C2semidirect
18. #39590C2semidirect
19. #39498C2semidirect
20. #39370C2semidirect
21. #39369C2semidirect
22. #39178C2semidirect
23. #38966C2semidirect
24. #36560C2semidirect
25. #36416C2semidirect
26. #36180C2semidirect
27. #35816C2semidirect
28. #35783C2semidirect
29. #35566C2semidirect
30. #35532C2semidirect
31. #34929C2semidirect
32. #34893C2semidirect
302. #547Q8semidirect

Maximal subgroups

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

subgroupindex
#598712
#595692
#594592
#594562
#593212
#506972
#488582
#464412
#452752
#452722
#451102
#449462
#431332
#429302
#424892
#399802
#396892
#395902
#394982
#393702
#393692
#391782
#389662
#365602
#364162
#361802
#358162
#357832
#355662
#355322
#349292
#348932
#344802
#343162
#343082