Finite Group Databasebeta

← #8174425

Subgroups — #8174425

Order 512.

4198 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59321C211yesmaximal, characteristic, complemented
2#59312C211yesmaximal, characteristic
3#59259C211yesmaximal, characteristic, complemented
4#59230C211yesmaximal, characteristic
5#56690C214yesmaximal, complemented
6#56082C214yesmaximal, complemented
7#55452C214yesmaximal, complemented
8#55146C214yesmaximal, complemented
9#53121C212yesmaximal, complemented
10#53086C212yesmaximal, complemented
11#53035C212yesmaximal, complemented
12#53017C212yesmaximal, complemented
13#45210C212yesmaximal, complemented
14#45185C212yesmaximal, complemented
15#42939C212yesmaximal
16#42888C212yesmaximal, complemented
17#42801C212yesmaximal, complemented
18#42568C212yesmaximal, complemented
19#42491C212yesmaximal, complemented
20#42489C212yesmaximal, complemented
21#39626C211yesmaximal, characteristic, complemented
22#39379C211yesmaximal, characteristic, complemented
23#39180C211yesmaximal, characteristic, complemented
24#39077C212yesmaximal, complemented
25#38978C211yesmaximal, characteristic, complemented
26#38976C211yesmaximal, characteristic, complemented
27#38965C211yesmaximal, characteristic, complemented
28#38260C212yesmaximal
29#37637C212yesmaximal, complemented
30#37344C212yesmaximal, complemented
31#36466C211yesmaximal, characteristic, complemented
32#36299C211yesmaximal, characteristic, complemented
33#35286C211yesmaximal, characteristic, complemented
34#34916C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#552C2212yes—
38C2×#541C2212yes—
39#2863C2212yes—
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2841C2214yes—
46#2841C2214yes—
47#2839C2214yes—
48#2839C2214yes—
49#2838C2214yes—
50#2836C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2831C2214yes—
54#2822C2214yes—
55#2822C2214yes—
56#2821C2214yes—
57#2806C2214yes—
58#2805C2214yes—
59#2802C2214yes—
60#2792C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2791C2214yes—
64#2784C2214yes—
65#2777C2214yes—
66#2776C2214yes—
67#2774C2214yes—
68#2773C2214yes—
69#2772C2214yes—
70#2770C2214yes—
71#2769C2214yes—
72#2768C2214yes—
73#2768C2214yes—
74#2766C2214yes—
75#2765C2214yes—
76#2764C2214yes—
77#2762C2214yes—
78#2762C2214yes—
79#2755C2214yes—
80#2755C2214yes—
81#2745C2214yes—
82#2726C2214yes—
83#2726C2214yes—
84#2726C2214yes—
85#2725C2214yes—
86#2725C2214yes—
87#2722C2214yes—
88#2721C2214yes—
89#2721C2214yes—
90#2719C2214yes—
91#2719C2214yes—
92#2719C2214yes—
93#2719C2214yes—
94#2719C2214yes—
95#2719C2214yes—
96#2716C2214yes—
97#2713C2214yes—
98#2707C2214yes—
99#2707C2214yes—
100#2704C2214yes—
101#2695C2214yes—
102#2694C2214yes—
103#2694C2214yes—
104#2687C2214yes—
105#2667C2214yes—
106#2665C2214yes—
107#2664C2214yes—
108#2660C2212yes—
109#2654C2212yes—
110#2653C2212yes—
111#2650C2212yes—
112#2649C2212yes—
113#2647C2212yes—
114#2647C2212yes—
115#2647C2212yes—
116#2647C2211yescharacteristic
117#2645C2211yescharacteristic
118#2645C2212yes—
119#2644C2211yescharacteristic
120#2644C2212yes—
121#2640C2211yescharacteristic
122#2637C2214yes—
123#2637C2214yes—
124#2629C2214yes—
125#2629C2212yes—
126#2629C2212yes—
127#2628C2211yescharacteristic
128#2628C2214yes—
129#2625C2214yes—
130#2625C2211yescharacteristic
131#2624C2211yescharacteristic
132#2620C2211yescharacteristic
133#2599C2214yes—
134#2590C2212yes—
135#2589C2212yes—
136#2588C2212yes—
137#2587C2212yes—
138#2585C2214yes—
139#2584C2212yes—
140#2584C2212yes—
141#2584C2212yes—
142#2584C2214yes—
143#2582C2212yes—
144#2582C2211yescharacteristic
145#2582C2211yescharacteristic
146#2582C2212yes—
147#2574C2214yes—
148#2571C2212yes—
149#2571C2212yes—
150#2567C2212yes—
151#2565C2212yes—
152#2565C2212yes—
153#2565C2214yes—
154#2563C2212yes—
155#2563C2212yes—
156#2556C2214yes—
157#2553C2214yes—
158#2552C2212yes—
159#2552C2211yescharacteristic
160#2552C2212yes—
161#2552C2211yescharacteristic
162#2552C2212yes—
163#2552C2211yescharacteristic
164#2552C2212yes—
165#2552C2212yes—
166#2552C2212yes—
167#2552C2212yes—
168#2551C2212yes—
169#2551C2211yescharacteristic
170#2550C2212yes—
171#2550C2214yes—
172#2550C2212yes—
173#2550C2212yes—
174#2538C2212yes—
175#2538C2211yescharacteristic
176#2538C2211yescharacteristic
177#2524C2214yes—
178#2517C2214yes—
179#2515C2214yes—
180#2514C2212yes—
181#2512C2212yes—
182#2512C2212yes—
183#2512C2212yes—
184#2511C2212yes—
185#2511C2212yes—
186#2511C2211yescharacteristic
187#2509C2212yes—
188#2509C2212yes—
189#2508C2212yes—
190#2508C2212yes—
191#2508C2212yes—
192#2507C2212yes—
193#2507C2212yes—
194#2507C2211yescharacteristic
195#2507C2212yes—
196#2506C2212yes—
197#2506C2212yes—
198#2506C2212yes—
199#2506C2212yes—
200#2506C2212yes—
201#2506C2212yes—
202#2502C2212yes—
203#2501C2212yes—
204#2499C2212yes—
205#2497C2211yescharacteristic
206#2497C2212yes—
207#2496C2214yes—
208#2495C2212yes—
209#2495C2212yes—
210#2492C2212yes—
211#2492C2211yescharacteristic
212#2489C2214yes—
213#2489C2212yes—
214#2486C2212yes—
215#2475C2214yes—
216#2475C2214yes—
217#2473C2214yes—
218#2470C2214yes—
219#2454C2212yes—
220#2453C2212yes—
221#2451C2212yes—
222#2451C2211yescharacteristic
223#2448C2212yes—
224#2447C2212yes—
225#2446C2211yescharacteristic
226#2446C2212yes—
227#2442C2212yes—
228#2442C2212yes—
229#2442C2212yes—
230#2442C2212yes—
231#2442C2212yes—
232#2441C2212yes—
233#2441C2212yes—
234#2441C2212yes—
235#2441C2214yes—
236#2441C2214yes—
237#2441C2212yes—
238#2440C2212yes—
239#2439C2212yes—
240#2429C2211yescharacteristic
241#2423C2212yes—
242#2423C2211yescharacteristic
243#2423C2212yes—
244#2421C2212yes—
245#2421C2212yes—
246#2421C2212yes—
247#2417C2212yes—
248#2413C2214yes—
249#2402C2212yes—
250#2401C2212yes—
251#2398C2212yes—
252#2396C2212yes—
253#2396C2212yes—
254#2395C2212yes—
255#2363C2212yes—
256#2362C2212yes—
257#2360C2212yes—
258#2360C2212yes—
259#2355C2211yescharacteristic
260#2355C2212yes—
261#2355C2211yescharacteristic
262#2354C2211yescharacteristic
263#2351C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269#2345C2212yes—
270#2345C2212yes—
271#2344C2212yes—
272#2344C2212yes—
273#2331C2212yes—
274#2330C2212yes—
275#2320C2212yes—
276#2320C2212yes—
277#2317C2212yes—
278#2316C2212yes—
279#2316C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289#2298C2212yes—
290#2295C2212yes—
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2293C2212yes—
294#2293C2211yescharacteristic
295#2285C2211yescharacteristic
296C2×#384C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—48no—
300#552—48no—
301#541—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×#121C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2314yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#401C2312yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
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#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2312yes—
495#395C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2312yes—
505#393C2312yes—
506#393C2312yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2314yes—
620#389C2311yescharacteristic
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#386C2314yes—
691#386C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2314yes—
708#384C2312yes—
709#384C2314yes—
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#383C2314yes—
722#383C2314yes—
723#383C2314yes—
724#382C2312yes—
725#382C2314yes—
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2314yes—
730#382C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#381C2314yes—
739#381C2314yes—
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2414yes—
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—42no—
830C4⋊Q8—44no—
831C4⋊Q8—48no—
832C4⋊Q8—44no—
833#126—48no—
834#126—48no—
835#126—48no—
836#125—44no—
837#125—44no—
838#125—48no—
839#125—44no—
840#125—44no—
841#125—44no—
842#125—48no—
843#125—48no—
844#125—48no—
845#125—48no—
846#125—84no—
847#125—82no—
848#125—82no—
849#125—84no—
850#125—84no—
851#124—42no—
852#123—48no—
853#123—84no—
854C22⋊Q8—28no—
855C22⋊Q8—24no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—44no—
859C22⋊Q8—84no—
860#121—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—48no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×D4—24no—
874C4×D4—44no—
875C4×D4—44no—
876#117—24no—
877#117—42no—
878#117—44no—
879#117—48no—
880#117—44no—
881#117—44no—
882#117—84no—
883C2×C4⋊C4—28no—
884C2×C4⋊C4—28no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—82no—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C42—24no—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137C24C2512yes—
1138C24C2511yescharacteristic
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—42no—
1149C2×Q8—44no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8H(5,𝔽2)14yes—
1157C2×D4—24no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—28no—
1166C22×C4—22no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—28no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C42−1+414yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2514yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C42−1+414yes—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C42—22no—
1341C42—24no—
1342C42—28no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—28no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—22no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—41no—
1363C42—41no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—41no—
1372C42—41no—
1373C42—44no—
1374C422−1+414yes—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23C2×2−1+412yes—
1389C23C2611yescharacteristic
1390Q8—28no—
1391Q8—44no—
1392Q8—44no—
1393Q8—84no—
1394Q8—84no—
1395Q8—88no—
1396D4—44no—
1397D4—84no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—28no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—48no—
1491C2×C4—88no—
1492C2×C4—88no—
1493C2×C4C2×H(5,𝔽2)14yes—
1494C2×C4C2×H(5,𝔽2)12yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+414yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4C2×2−1+412yes—
1502C2×C4#58512yes—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22C22×H(5,𝔽2)11yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C22C22×2−1+411yescharacteristic
1520C22C22×2−1+411yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22H(7,𝔽2)11yescharacteristic
1523C222−1+611yescharacteristic
1524C4—22no—
1525C4—24no—
1526C4—22no—
1527C4—24no—
1528C4—42no—
1529C4—42no—
1530C4—41no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—41no—
1538C4—41no—
1539C4—44no—
1540C4—44no—
1541C4—42no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4—41no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—44no—
1553C4—42no—
1554C4—41no—
1555C4#354414yes—
1556C4#356314yes—
1557C2—42no—
1558C2—82no—
1559C2C2×#356311yescharacteristic
1560C2C2×#354411yescharacteristic
1561C2#6287711yescharacteristic
1562C2#6291711yescharacteristic
1563C2#6292211yescharacteristic
1564C2#6294711yescharacteristic
1565C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59321C2semidirect
3. #59259C2semidirect
5. #56690C2semidirect
6. #56082C2semidirect
7. #55452C2semidirect
8. #55146C2semidirect
9. #53121C2semidirect
10. #53086C2semidirect
11. #53035C2semidirect
12. #53017C2semidirect
13. #45210C2semidirect
14. #45185C2semidirect
16. #42888C2semidirect
17. #42801C2semidirect
18. #42568C2semidirect
19. #42491C2semidirect
20. #42489C2semidirect
21. #39626C2semidirect
22. #39379C2semidirect
23. #39180C2semidirect
24. #39077C2semidirect
25. #38978C2semidirect
26. #38976C2semidirect
27. #38965C2semidirect
29. #37637C2semidirect
30. #37344C2semidirect
31. #36466C2semidirect
32. #36299C2semidirect
33. #35286C2semidirect
34. #34916C2semidirect

Maximal subgroups

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

subgroupindex
#593212
#593122
#592592
#592302
#566902
#560822
#554522
#551462
#531212
#530862
#530352
#530172
#452102
#451852
#429392
#428882
#428012
#425682
#424912
#424892
#396262
#393792
#391802
#390772
#389782
#389762
#389652
#382602
#376372
#373442
#364662
#362992
#352862
#349162
#346192