Finite Group Databasebeta

← #7986125

Subgroups — #7986125

Order 512.

4248 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59766C212yesmaximal, complemented
2#59467C211yesmaximal, characteristic, complemented
3#59292C212yesmaximal
4#59067C211yesmaximal, characteristic, complemented
5#59067C211yesmaximal, characteristic, complemented
6#50204C214yesmaximal, complemented
7#49036C214yesmaximal
8#45850C214yesmaximal, complemented
9#45223C212yesmaximal, complemented
10#45219C212yesmaximal, complemented
11#45089C212yesmaximal
12#45080C212yesmaximal, complemented
13#42865C212yesmaximal
14#42863C212yesmaximal, complemented
15#42716C212yesmaximal, complemented
16#42710C212yesmaximal, complemented
17#39642C211yesmaximal, characteristic, complemented
18#39642C211yesmaximal, characteristic, complemented
19#39607C211yesmaximal, characteristic, complemented
20#39157C211yesmaximal, characteristic, complemented
21#38303C214yesmaximal, complemented
22#38275C212yesmaximal, complemented
23#38072C212yesmaximal, complemented
24#36506C212yesmaximal
25#36447C212yesmaximal, complemented
26#36287C211yesmaximal, characteristic, complemented
27#36193C211yesmaximal, characteristic, complemented
28#36134C211yesmaximal, characteristic
29#35204C212yesmaximal, complemented
30#35202C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic
32#34780C211yesmaximal, characteristic
33#34488C211yesmaximal, characteristic, complemented
34#34394C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2865C2214yes—
41#2864C2214yes—
42#2859C2214yes—
43#2859C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2839C2214yes—
48#2836C2214yes—
49#2802C2214yes—
50#2802C2214yes—
51#2794C2214yes—
52#2793C2214yes—
53#2791C2214yes—
54#2791C2214yes—
55#2791C2214yes—
56#2783C2214yes—
57#2777C2214yes—
58#2776C2214yes—
59#2776C2214yes—
60#2771C2214yes—
61#2767C2214yes—
62#2765C2214yes—
63#2762C2214yes—
64#2755C2214yes—
65#2744C2214yes—
66#2739C2214yes—
67#2738C2214yes—
68#2726C2214yes—
69#2725C2214yes—
70#2721C2214yes—
71#2720C2214yes—
72#2720C2214yes—
73#2719C2214yes—
74#2719C2214yes—
75#2713C2214yes—
76#2713C2214yes—
77#2713C2214yes—
78#2713C2214yes—
79#2704C2214yes—
80#2694C2214yes—
81#2689C2214yes—
82#2667C2214yes—
83#2667C2214yes—
84#2655C2214yes—
85#2655C2214yes—
86#2655C2214yes—
87#2654C2214yes—
88#2647C2212yes—
89#2647C2212yes—
90#2645C2212yes—
91#2629C2212yes—
92#2612C2214yes—
93#2611C2214yes—
94#2606C2214yes—
95#2606C2214yes—
96#2601C2214yes—
97#2596C2214yes—
98#2590C2214yes—
99#2590C2214yes—
100#2585C2214yes—
101#2575C2214yes—
102#2571C2214yes—
103#2571C2212yes—
104#2567C2211yescharacteristic
105#2567C2211yescharacteristic
106#2567C2211yescharacteristic
107#2567C2211yescharacteristic
108#2565C2212yes—
109#2558C2214yes—
110#2556C2214yes—
111#2552C2212yes—
112#2552C2212yes—
113#2552C2211yescharacteristic
114#2552C2212yes—
115#2552C2211yescharacteristic
116#2552C2212yes—
117#2552C2214yes—
118#2552C2212yes—
119#2552C2212yes—
120#2552C2212yes—
121#2552C2212yes—
122#2552C2212yes—
123#2542C2212yes—
124#2538C2212yes—
125#2533C2214yes—
126#2533C2214yes—
127#2533C2214yes—
128#2530C2212yes—
129#2529C2214yes—
130#2529C2214yes—
131#2528C2214yes—
132#2528C2214yes—
133#2528C2212yes—
134#2524C2214yes—
135#2524C2212yes—
136#2520C2214yes—
137#2519C2214yes—
138#2517C2212yes—
139#2516C2214yes—
140#2515C2214yes—
141#2515C2212yes—
142#2514C2211yescharacteristic
143#2511C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2511C2212yes—
147#2511C2212yes—
148#2511C2211yescharacteristic
149#2509C2212yes—
150#2509C2212yes—
151#2508C2214yes—
152#2508C2211yescharacteristic
153#2508C2212yes—
154#2508C2214yes—
155#2507C2212yes—
156#2507C2212yes—
157#2507C2212yes—
158#2506C2212yes—
159#2506C2214yes—
160#2506C2212yes—
161#2506C2214yes—
162#2506C2212yes—
163#2506C2214yes—
164#2506C2212yes—
165#2506C2212yes—
166#2506C2211yescharacteristic
167#2506C2212yes—
168#2503C2211yescharacteristic
169#2499C2211yescharacteristic
170#2497C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2495C2211yescharacteristic
176#2494C2212yes—
177#2494C2211yescharacteristic
178#2493C2212yes—
179#2489C2211yescharacteristic
180#2489C2212yes—
181#2489C2211yescharacteristic
182#2486C2211yescharacteristic
183#2485C2211yescharacteristic
184#2462C2214yes—
185#2462C2214yes—
186#2460C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2453C2212yes—
191#2453C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2442C2211yescharacteristic
195#2442C2212yes—
196#2441C2214yes—
197#2441C2214yes—
198#2441C2212yes—
199#2441C2212yes—
200#2441C2211yescharacteristic
201#2441C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2438C2214yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2419C2212yes—
215#2417C2211yescharacteristic
216#2415C2211yescharacteristic
217#2402C2212yes—
218#2401C2212yes—
219#2401C2212yes—
220#2395C2212yes—
221#2382C2214yes—
222#2378C2214yes—
223#2371C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2369C2211yescharacteristic
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2214yes—
235#2365C2212yes—
236#2365C2212yes—
237#2365C2211yescharacteristic
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2362C2212yes—
241#2362C2212yes—
242#2360C2212yes—
243#2360C2212yes—
244#2356C2212yes—
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2354C2212yes—
248#2351C2212yes—
249#2351C2212yes—
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255#2347C2212yes—
256#2346C2212yes—
257#2346C2212yes—
258#2344C2212yes—
259#2336C2214yes—
260#2330C2212yes—
261#2330C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2330C2212yes—
265#2330C2212yes—
266#2327C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2320C2212yes—
271#2320C2214yes—
272#2320C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2214yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283#2298C2212yes—
284#2296C2212yes—
285#2295C2214yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2212yes—
292#2283C2211yescharacteristic
293#2283C2212yes—
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—28no—
300#533—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2314yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#123C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2314yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C42C2312yes—
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2312yes—
364#401C2312yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2312yes—
463#394C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#390C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2311yescharacteristic
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2312yes—
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#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#386C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2314yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2314yes—
686#384C2312yes—
687#384C2314yes—
688#384C2314yes—
689#384C2312yes—
690#384C2312yes—
691#383C2314yes—
692#383C2312yes—
693#383C2314yes—
694#383C2312yes—
695#383C2312yes—
696#382C2311yescharacteristic
697#382C2314yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2314yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#381C2312yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809C2×#95C2312yes—
810C43C2311yescharacteristic
811C43C2314yes—
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C4⋊Q8—28no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—44no—
831C4⋊Q8—82no—
832C4⋊Q8#4118yes—
833#126—84no—
834#125—28no—
835#125—28no—
836#125—216no—
837#125—28no—
838#125—24no—
839#125—24no—
840#125—28no—
841#125—44no—
842#125—44no—
843#125—48no—
844#125—48no—
845#125—84no—
846#125—84no—
847#125—84no—
848#125—84no—
849#123—44no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—24no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—24no—
856C22⋊Q8—24no—
857C22⋊Q8—42no—
858C22⋊Q8—82no—
859C22⋊Q8—82no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×D4—24no—
874C4×D4—42no—
875C4×D4—42no—
876#117—24no—
877#117—28no—
878#117—28no—
879#117—24no—
880#117—44no—
881#117—84no—
882C2×C4⋊C4—24no—
883C2×C4⋊C4—42no—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—28no—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2511yescharacteristic
1137C24C2511yescharacteristic
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8C2×#4118yes—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—41no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C42−1+414yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—41no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4C2×#4118yes—
1301C4⋊C4C2×#4118yes—
1302C4⋊C42−1+414yes—
1303C4⋊C42−1+414yes—
1304C22⋊C4—24no—
1305C22⋊C4—22no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—22no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—28no—
1335C42—28no—
1336C42—28no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—28no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—42no—
1366C42—41no—
1367C42C2×#4114yes—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23C2×2−1+412yes—
1382C23C2611yescharacteristic
1383Q8—216no—
1384Q8—44no—
1385Q8—44no—
1386Q8—84no—
1387Q8—84no—
1388D4—44no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—24no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—28no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—48no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—84no—
1484C2×C4C22×#4118yes—
1485C2×C4C22×#4112yes—
1486C2×C4C22×#4112yes—
1487C2×C4C22×#4112yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4C2×2−1+414yes—
1490C2×C4C2×2−1+414yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4C2×2−1+412yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4#58512yes—
1495C2×C4#58512yes—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22C23×#4111yescharacteristic
1511C22C22×2−1+411yescharacteristic
1512C22C22×2−1+411yescharacteristic
1513C22C22×2−1+411yescharacteristic
1514C22C2×#58511yescharacteristic
1515C22C2×#58511yescharacteristic
1516C22H(7,𝔽2)11yescharacteristic
1517C4—22no—
1518C4—22no—
1519C4—24no—
1520C4—28no—
1521C4—22no—
1522C4—24no—
1523C4—42no—
1524C4—42no—
1525C4—41no—
1526C4—41no—
1527C4—44no—
1528C4—44no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—42no—
1538C4—41no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—44no—
1548C4#351514yes—
1549C4#352314yes—
1550C2—42no—
1551C2—81no—
1552C2#6275211yescharacteristic
1553C2C2×#351511yescharacteristic
1554C2C2×#352311yescharacteristic
1555C2#6294511yescharacteristic
1556C2#6295211yescharacteristic
1557C2#6300611yescharacteristic
1558C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59766C2semidirect
2. #59467C2semidirect
4. #59067C2semidirect
5. #59067C2semidirect
6. #50204C2semidirect
8. #45850C2semidirect
9. #45223C2semidirect
10. #45219C2semidirect
12. #45080C2semidirect
14. #42863C2semidirect
15. #42716C2semidirect
16. #42710C2semidirect
17. #39642C2semidirect
18. #39642C2semidirect
19. #39607C2semidirect
20. #39157C2semidirect
21. #38303C2semidirect
22. #38275C2semidirect
23. #38072C2semidirect
25. #36447C2semidirect
26. #36287C2semidirect
27. #36193C2semidirect
29. #35204C2semidirect
30. #35202C2semidirect
33. #34488C2semidirect
34. #34394C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#597662
#594672
#592922
#590672
#502042
#490362
#458502
#452232
#452192
#450892
#450802
#428652
#428632
#427162
#427102
#396422
#396072
#391572
#383032
#382752
#380722
#365062
#364472
#362872
#361932
#361342
#352042
#352022
#347932
#347802
#344882
#343942
#341452