Finite Group Databasebeta

← #7879710

Subgroups — #7879710

Order 512.

4295 conjugacy classes of subgroups.

The subgroup lattice has 1569 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59874C212yesmaximal, complemented
2#59653C211yesmaximal, characteristic, complemented
3#59582C212yesmaximal, complemented
4#59421C211yesmaximal, characteristic
5#59413C211yesmaximal, characteristic, complemented
6#51192C214yesmaximal, complemented
7#49221C214yesmaximal, complemented
8#46951C214yesmaximal, complemented
9#45229C212yesmaximal, complemented
10#45194C212yesmaximal, complemented
11#45174C212yesmaximal, complemented
12#44944C212yesmaximal, complemented
13#43713C214yesmaximal, complemented
14#42834C212yesmaximal, complemented
15#42779C212yesmaximal, complemented
16#40095C212yesmaximal, complemented
17#39762C211yesmaximal, characteristic, complemented
18#39225C212yesmaximal, complemented
19#39193C211yesmaximal, characteristic
20#38977C211yesmaximal, characteristic, complemented
21#38976C211yesmaximal, characteristic, complemented
22#38265C212yesmaximal, complemented
23#38057C212yesmaximal, complemented
24#36574C211yesmaximal, characteristic, complemented
25#36555C211yesmaximal, characteristic, complemented
26#36453C211yesmaximal, characteristic
27#36055C212yesmaximal, complemented
28#35883C212yesmaximal, complemented
29#35631C212yesmaximal, complemented
30#35587C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34481C211yesmaximal, characteristic, complemented
34#34334C211yesmaximal, characteristic, complemented
35#34328C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39#2864C2212yes—
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2855C2212yes—
44#2831C2214yes—
45#2798C2214yes—
46#2794C2214yes—
47#2788C2214yes—
48#2787C2214yes—
49#2780C2214yes—
50#2780C2214yes—
51#2779C2214yes—
52#2777C2214yes—
53#2776C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2776C2214yes—
57#2772C2214yes—
58#2768C2214yes—
59#2767C2214yes—
60#2766C2214yes—
61#2766C2214yes—
62#2765C2214yes—
63#2762C2214yes—
64#2762C2214yes—
65#2759C2214yes—
66#2758C2214yes—
67#2757C2214yes—
68#2755C2214yes—
69#2750C2214yes—
70#2745C2214yes—
71#2739C2214yes—
72#2739C2214yes—
73#2725C2214yes—
74#2720C2214yes—
75#2719C2214yes—
76#2704C2214yes—
77#2702C2214yes—
78#2666C2214yes—
79#2650C2214yes—
80#2649C2214yes—
81#2645C2214yes—
82#2645C2212yes—
83#2645C2212yes—
84#2642C2212yes—
85#2625C2212yes—
86#2597C2214yes—
87#2596C2212yes—
88#2595C2214yes—
89#2594C2212yes—
90#2592C2211yescharacteristic
91#2587C2214yes—
92#2584C2212yes—
93#2584C2212yes—
94#2582C2211yescharacteristic
95#2582C2211yescharacteristic
96#2582C2211yescharacteristic
97#2581C2211yescharacteristic
98#2581C2212yes—
99#2577C2214yes—
100#2576C2214yes—
101#2576C2214yes—
102#2575C2214yes—
103#2573C2214yes—
104#2573C2214yes—
105#2573C2212yes—
106#2573C2212yes—
107#2571C2211yescharacteristic
108#2570C2211yescharacteristic
109#2569C2214yes—
110#2568C2211yescharacteristic
111#2564C2214yes—
112#2560C2214yes—
113#2556C2214yes—
114#2550C2212yes—
115#2547C2211yescharacteristic
116#2545C2212yes—
117#2545C2211yescharacteristic
118#2538C2211yescharacteristic
119#2538C2211yescharacteristic
120#2538C2211yescharacteristic
121#2537C2211yescharacteristic
122#2530C2214yes—
123#2529C2214yes—
124#2528C2214yes—
125#2527C2214yes—
126#2526C2214yes—
127#2525C2212yes—
128#2523C2214yes—
129#2522C2214yes—
130#2519C2214yes—
131#2519C2214yes—
132#2518C2214yes—
133#2517C2214yes—
134#2516C2214yes—
135#2514C2212yes—
136#2514C2211yescharacteristic
137#2514C2214yes—
138#2514C2212yes—
139#2514C2214yes—
140#2514C2212yes—
141#2514C2212yes—
142#2514C2212yes—
143#2514C2211yescharacteristic
144#2514C2211yescharacteristic
145#2512C2211yescharacteristic
146#2511C2212yes—
147#2511C2214yes—
148#2510C2214yes—
149#2510C2214yes—
150#2509C2212yes—
151#2509C2212yes—
152#2509C2212yes—
153#2509C2212yes—
154#2508C2212yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2505C2214yes—
161#2504C2212yes—
162#2503C2212yes—
163#2497C2212yes—
164#2497C2214yes—
165#2495C2212yes—
166#2495C2212yes—
167#2495C2214yes—
168#2495C2214yes—
169#2494C2212yes—
170#2494C2214yes—
171#2494C2212yes—
172#2494C2212yes—
173#2494C2214yes—
174#2494C2212yes—
175#2493C2214yes—
176#2493C2214yes—
177#2492C2212yes—
178#2490C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2469C2212yes—
182#2468C2214yes—
183#2460C2214yes—
184#2454C2214yes—
185#2454C2212yes—
186#2454C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2451C2212yes—
191#2448C2212yes—
192#2448C2211yescharacteristic
193#2447C2211yescharacteristic
194#2447C2212yes—
195#2447C2211yescharacteristic
196#2446C2212yes—
197#2446C2212yes—
198#2446C2211yescharacteristic
199#2442C2212yes—
200#2442C2212yes—
201#2441C2212yes—
202#2439C2212yes—
203#2436C2212yes—
204#2434C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2427C2212yes—
208#2427C2212yes—
209#2427C2212yes—
210#2426C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2420C2212yes—
216#2401C2212yes—
217#2401C2214yes—
218#2401C2212yes—
219#2401C2212yes—
220#2396C2212yes—
221#2383C2214yes—
222#2371C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2369C2212yes—
227#2368C2214yes—
228#2367C2212yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2363C2212yes—
233#2362C2212yes—
234#2361C2212yes—
235#2360C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2356C2212yes—
239#2356C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2355C2211yescharacteristic
243#2353C2214yes—
244#2351C2212yes—
245#2351C2212yes—
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2345C2212yes—
253#2345C2212yes—
254Q8×C22⋊C4C2212yes—
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yes—
257#2336C2214yes—
258#2336C2214yes—
259#2334C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2329C2214yes—
263#2327C2212yes—
264#2326C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2320C2212yes—
268#2320C2212yes—
269#2319C2212yes—
270#2317C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic
280C4×#124C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×#121C2212yes—
286#2298C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291C2×#391C2212yes—
292#2293C2211yescharacteristic
293#2283C2212yes—
294#2276C2212yes—
295#2275C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C23×Q8C2312yes—
300#557—28no—
301#556—28no—
302D4×Q8—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2314yes—
309C2×#126C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C42C2312yes—
359#401C2314yes—
360#401C2314yes—
361#401C2312yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#401C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2312yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2312yes—
460#393C2314yes—
461#391C2314yes—
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2314yes—
496#391C2311yescharacteristic
497#390C2314yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2314yes—
686#384C2312yes—
687#383C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835C4⋊Q8—42no—
836C4⋊Q8—42no—
837C4⋊Q8#4118yes—
838#126—216no—
839#126—44no—
840#125—216no—
841#125—28no—
842#125—44no—
843#125—44no—
844#125—44no—
845#125—48no—
846#124—28no—
847#124—24no—
848#124—24no—
849#124—42no—
850#124—42no—
851C22⋊Q8—28no—
852C22⋊Q8—216no—
853C22⋊Q8—28no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857#121—28no—
858#121—44no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—42no—
867C4×Q8—42no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—42no—
876C4×D4—24no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—42no—
883C4×D4—48no—
884#117—28no—
885#117—44no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C42—44no—
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135C24C2512yes—
1136C24C2512yes—
1137C2×Q8—22no—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—28no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—41no—
1154C2×Q8—41no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—816no—
1158C2×Q8C2×#4118yes—
1159C2×D4—28no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D42−1+414yes—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—24no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—41no—
1269C4⋊C4—42no—
1270C4⋊C4—41no—
1271C4⋊C4—44no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
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—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4C2×#4118yes—
1297C4⋊C4C2×#4118yes—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C42—28no—
1334C42—24no—
1335C42—24no—
1336C42—28no—
1337C42—24no—
1338C42—24no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—42no—
1355C42—42no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42—42no—
1360C42—44no—
1361C42—44no—
1362C42—41no—
1363C42—41no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—42no—
1369C42—44no—
1370C42—42no—
1371C42—44no—
1372C42—42no—
1373C42C2×#4114yes—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23C2×2−1+414yes—
1388C23C2611yescharacteristic
1389Q8—216no—
1390Q8—44no—
1391Q8—44no—
1392Q8—44no—
1393Q8—44no—
1394Q8—44no—
1395Q8—88no—
1396D4—28no—
1397D4—44no—
1398D4—88no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—84no—
1492C2×C4—88no—
1493C2×C4—84no—
1494C2×C4—164no—
1495C2×C4—164no—
1496C2×C4C22×#4118yes—
1497C2×C4C22×#4112yes—
1498C2×C4C22×#4112yes—
1499C2×C4C22×#4112yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C2×C4#58512yes—
1504C2×C4#58512yes—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22C23×#4111yescharacteristic
1520C22C22×2−1+411yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22C2×#58511yescharacteristic
1523C22C2×#58511yescharacteristic
1524C22C2×#58511yescharacteristic
1525C222−1+611yescharacteristic
1526C4—22no—
1527C4—28no—
1528C4—22no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—44no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—42no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—44no—
1556C4—42no—
1557C4#351614yes—
1558C4#352114yes—
1559C2—44no—
1560C2—82no—
1561C2C2×#352111yescharacteristic
1562C2C2×#351611yescharacteristic
1563C2#6282711yescharacteristic
1564C2#6295011yescharacteristic
1565C2#6296811yescharacteristic
1566C2#6300711yescharacteristic
1567C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59874C2semidirect
2. #59653C2semidirect
3. #59582C2semidirect
5. #59413C2semidirect
6. #51192C2semidirect
7. #49221C2semidirect
8. #46951C2semidirect
9. #45229C2semidirect
10. #45194C2semidirect
11. #45174C2semidirect
12. #44944C2semidirect
13. #43713C2semidirect
14. #42834C2semidirect
15. #42779C2semidirect
16. #40095C2semidirect
17. #39762C2semidirect
18. #39225C2semidirect
20. #38977C2semidirect
21. #38976C2semidirect
22. #38265C2semidirect
23. #38057C2semidirect
24. #36574C2semidirect
25. #36555C2semidirect
27. #36055C2semidirect
28. #35883C2semidirect
29. #35631C2semidirect
30. #35587C2semidirect
31. #34945C2semidirect
32. #34902C2semidirect
33. #34481C2semidirect
34. #34334C2semidirect
35. #34328C2semidirect

Maximal subgroups

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

subgroupindex
#598742
#596532
#595822
#594212
#594132
#511922
#492212
#469512
#452292
#451942
#451742
#449442
#437132
#428342
#427792
#400952
#397622
#392252
#391932
#389772
#389762
#382652
#380572
#365742
#365552
#364532
#360552
#358832
#356312
#355872
#349452
#349022
#344812
#343342
#343282