Finite Group Databasebeta

← #7657991

Subgroups — #7657991

Order 512.

4190 conjugacy classes of subgroups.

The subgroup lattice has 1563 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42866C212yesmaximal, complemented
2#42856C212yesmaximal, complemented
3#42848C212yesmaximal, complemented
4#42844C212yesmaximal, complemented
5#41571C214yesmaximal, complemented
6#41566C214yesmaximal, complemented
7#41542C214yesmaximal, complemented
8#41539C214yesmaximal, complemented
9#39734C211yesmaximal, characteristic, complemented
10#39731C212yesmaximal
11#39606C211yesmaximal, characteristic
12#39603C212yesmaximal, complemented
13#38984C211yesmaximal, characteristic, complemented
14#38981C212yesmaximal, complemented
15#38977C211yesmaximal, characteristic, complemented
16#38970C212yesmaximal, complemented
17#37630C211yesmaximal, characteristic, complemented
18#37628C211yesmaximal, characteristic, complemented
19#37581C212yesmaximal, complemented
20#37580C212yesmaximal, complemented
21#36579C211yesmaximal, characteristic
22#36545C211yesmaximal, characteristic, complemented
23#36535C211yesmaximal, characteristic, complemented
24#36508C211yesmaximal, characteristic, complemented
25#35984C212yesmaximal, complemented
26#35899C212yesmaximal, complemented
27#35855C212yesmaximal, complemented
28#35818C212yesmaximal, complemented
29#35340C212yesmaximal
30#35291C211yesmaximal, characteristic, complemented
31#34629C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic
33#34328C211yesmaximal, characteristic, complemented
34#34322C211yesmaximal, characteristic, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C22×C4×Q8C2211yescharacteristic
39#2864C2212yes—
40#2862C2211yescharacteristic
41#2861C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2851C2212yes—
46#2850C2212yes—
47#2839C2214yes—
48#2839C2214yes—
49#2838C2214yes—
50#2836C2214yes—
51#2833C2214yes—
52#2831C2214yes—
53#2793C2214yes—
54#2792C2214yes—
55#2791C2214yes—
56#2790C2214yes—
57#2788C2214yes—
58#2787C2214yes—
59#2786C2214yes—
60#2777C2214yes—
61#2776C2214yes—
62#2776C2214yes—
63#2775C2214yes—
64#2774C2214yes—
65#2774C2214yes—
66#2768C2214yes—
67#2768C2214yes—
68#2767C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2762C2214yes—
72#2750C2214yes—
73#2748C2214yes—
74#2747C2214yes—
75#2745C2214yes—
76#2739C2214yes—
77#2666C2214yes—
78#2665C2214yes—
79#2655C2214yes—
80#2655C2214yes—
81#2655C2214yes—
82#2655C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2654C2212yes—
86#2654C2214yes—
87#2654C2214yes—
88#2653C2212yes—
89#2652C2214yes—
90#2652C2214yes—
91#2652C2214yes—
92#2650C2214yes—
93#2650C2212yes—
94#2649C2212yes—
95#2647C2212yes—
96#2647C2211yescharacteristic
97#2647C2212yes—
98#2645C2212yes—
99#2645C2211yescharacteristic
100#2645C2212yes—
101#2645C2212yes—
102#2645C2212yes—
103#2645C2212yes—
104#2644C2212yes—
105#2644C2211yescharacteristic
106#2642C2212yes—
107#2640C2211yescharacteristic
108#2629C2212yes—
109#2628C2211yescharacteristic
110#2625C2212yes—
111#2625C2211yescharacteristic
112#2625C2212yes—
113#2624C2211yescharacteristic
114#2621C2212yes—
115#2621C2212yes—
116#2620C2211yescharacteristic
117#2597C2214yes—
118#2596C2214yes—
119#2596C2214yes—
120#2595C2214yes—
121#2594C2214yes—
122#2592C2212yes—
123#2590C2214yes—
124#2588C2214yes—
125#2584C2212yes—
126#2582C2211yescharacteristic
127#2581C2212yes—
128#2581C2212yes—
129#2581C2212yes—
130#2581C2212yes—
131#2578C2214yes—
132#2578C2214yes—
133#2577C2214yes—
134#2576C2214yes—
135#2575C2214yes—
136#2574C2214yes—
137#2573C2214yes—
138#2571C2211yescharacteristic
139#2570C2212yes—
140#2570C2212yes—
141#2568C2212yes—
142#2568C2211yescharacteristic
143#2565C2212yes—
144#2565C2212yes—
145#2552C2211yescharacteristic
146#2550C2212yes—
147#2546C2211yescharacteristic
148#2546C2211yescharacteristic
149#2545C2212yes—
150#2542C2211yescharacteristic
151#2538C2212yes—
152#2538C2211yescharacteristic
153#2533C2214yes—
154#2531C2214yes—
155#2530C2214yes—
156#2529C2214yes—
157#2528C2214yes—
158#2528C2214yes—
159#2528C2214yes—
160#2527C2214yes—
161#2525C2214yes—
162#2524C2214yes—
163#2524C2214yes—
164#2522C2214yes—
165#2520C2214yes—
166#2519C2214yes—
167#2519C2214yes—
168#2515C2214yes—
169#2514C2212yes—
170#2514C2212yes—
171#2514C2212yes—
172#2513C2212yes—
173#2511C2212yes—
174#2511C2212yes—
175#2509C2212yes—
176#2509C2212yes—
177#2508C2214yes—
178#2508C2212yes—
179#2508C2212yes—
180#2507C2212yes—
181#2507C2212yes—
182#2507C2212yes—
183#2503C2212yes—
184#2502C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2494C2212yes—
188#2494C2212yes—
189#2494C2214yes—
190#2494C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2481C2214yes—
194#2473C2214yes—
195#2469C2214yes—
196#2462C2214yes—
197#2454C2212yes—
198#2453C2212yes—
199#2453C2212yes—
200#2451C2212yes—
201#2447C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2442C2212yes—
207#2434C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2423C2212yes—
212#2421C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2417C2212yes—
216#2409C2212yes—
217#2402C2214yes—
218#2402C2214yes—
219#2401C2214yes—
220#2401C2212yes—
221#2401C2214yes—
222#2398C2212yes—
223#2396C2212yes—
224#2395C2212yes—
225#2373C2214yes—
226#2371C2214yes—
227#2370C2212yes—
228#2370C2212yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2365C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2356C2212yes—
240#2356C2212yes—
241#2355C2212yes—
242#2355C2211yescharacteristic
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2355C2212yes—
248#2355C2211yescharacteristic
249#2352C2212yes—
250#2351C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2346C2212yes—
255#2345C2211yescharacteristic
256#2345C2212yes—
257#2345C2212yes—
258#2345C2211yescharacteristic
259Q8×C22⋊C4C2211yescharacteristic
260Q8×C22⋊C4C2211yescharacteristic
261#2336C2214yes—
262#2334C2214yes—
263#2327C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2320C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×#121C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2276C2212yes—
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#557—28no—
301#556—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#124C2312yes—
314C2×#124C2311yescharacteristic
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×#121C2311yescharacteristic
323C2×C4×Q8—28no—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×#117C2312yes—
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356#401C2314yes—
357#401C2314yes—
358#401C2314yes—
359#401C2312yes—
360#401C2314yes—
361#401C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#396C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#393C2312yes—
473#393C2314yes—
474#393C2312yes—
475#393C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#381C2314yes—
713#381C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2311yescharacteristic
808#376C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8—24no—
814C22×Q8—42no—
815C22×Q8—42no—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2414yes—
832C4⋊Q8—28no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—42no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838#126—216no—
839#125—216no—
840#125—28no—
841#125—44no—
842#125—44no—
843#124—28no—
844#124—42no—
845C22⋊Q8—28no—
846C22⋊Q8—28no—
847C22⋊Q8—24no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—44no—
852#121—24no—
853C4×Q8—24no—
854C4×Q8—24no—
855C4×Q8—28no—
856C4×Q8—28no—
857C4×Q8—24no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—44no—
863C4×Q8—42no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—42no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×Q8#4118yes—
872C4×D4—24no—
873C4×D4—44no—
874C4×D4—44no—
875#117—24no—
876#117—28no—
877#117—44no—
878#117—44no—
879#117—42no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—28no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C42—24no—
995C2×C42—28no—
996C2×C42C2411yescharacteristic
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2412yes—
1049#95C2412yes—
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2412yes—
1053#95C2412yes—
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132C24C2512yes—
1133C24C2511yescharacteristic
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8—416no—
1155C2×Q8C2×#4114yes—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C42−1+414yes—
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—28no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
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—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4C2×#4114yes—
1296C4⋊C4C2×#4118yes—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—41no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—41no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C42—24no—
1328C42—22no—
1329C42—24no—
1330C42—22no—
1331C42—22no—
1332C42—24no—
1333C42—28no—
1334C42—28no—
1335C42—24no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—24no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—42no—
1349C42—42no—
1350C42—42no—
1351C42—42no—
1352C42—44no—
1353C42—44no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—44no—
1359C42—42no—
1360C42—42no—
1361C42—42no—
1362C42—42no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42C2×#4114yes—
1368C42C2×#4118yes—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23C2×2−1+412yes—
1383C23C2611yescharacteristic
1384Q8—28no—
1385Q8—48no—
1386Q8—48no—
1387Q8—44no—
1388Q8—44no—
1389Q8—48no—
1390Q8—84no—
1391D4—44no—
1392D4—84no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—28no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—48no—
1484C2×C4—48no—
1485C2×C4—44no—
1486C2×C4—84no—
1487C2×C4—82no—
1488C2×C4—164no—
1489C2×C4C22×#4114yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4112yes—
1493C2×C4C22×#4112yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4#58512yes—
1497C2×C4#58512yes—
1498C2×C4#58512yes—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22C23×#4111yescharacteristic
1514C22C22×2−1+411yescharacteristic
1515C22C2×#58511yescharacteristic
1516C22C2×#58511yescharacteristic
1517C22C2×#58511yescharacteristic
1518C222−1+611yescharacteristic
1519C222−1+611yescharacteristic
1520C4—22no—
1521C4—24no—
1522C4—22no—
1523C4—24no—
1524C4—42no—
1525C4—44no—
1526C4—42no—
1527C4—42no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—44no—
1543C4—41no—
1544C4—41no—
1545C4—44no—
1546C4—41no—
1547C4—41no—
1548C4—42no—
1549C4—44no—
1550C4—42no—
1551C4#345514yes—
1552C4#351614yes—
1553C2—42no—
1554C2—82no—
1555C2C2×#345511yescharacteristic
1556C2C2×#351611yescharacteristic
1557C2#6286111yescharacteristic
1558C2#6293211yescharacteristic
1559C2#6293911yescharacteristic
1560C2#6295611yescharacteristic
1561C2#6296811yescharacteristic
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. #42866C2semidirect
2. #42856C2semidirect
3. #42848C2semidirect
4. #42844C2semidirect
5. #41571C2semidirect
6. #41566C2semidirect
7. #41542C2semidirect
8. #41539C2semidirect
9. #39734C2semidirect
12. #39603C2semidirect
13. #38984C2semidirect
14. #38981C2semidirect
15. #38977C2semidirect
16. #38970C2semidirect
17. #37630C2semidirect
18. #37628C2semidirect
19. #37581C2semidirect
20. #37580C2semidirect
22. #36545C2semidirect
23. #36535C2semidirect
24. #36508C2semidirect
25. #35984C2semidirect
26. #35899C2semidirect
27. #35855C2semidirect
28. #35818C2semidirect
30. #35291C2semidirect
31. #34629C2semidirect
33. #34328C2semidirect
34. #34322C2semidirect
35. Q8×#117C2semidirect

Maximal subgroups

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

subgroupindex
#428662
#428562
#428482
#428442
#415712
#415662
#415422
#415392
#397342
#397312
#396062
#396032
#389842
#389812
#389772
#389702
#376302
#376282
#375812
#375802
#365792
#365452
#365352
#365082
#359842
#358992
#358552
#358182
#353402
#352912
#346292
#346192
#343282
#343222
Q8×#1172