Finite Group Databasebeta

← #7658071

Subgroups — #7658071

Order 512.

4231 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42717C212yesmaximal, complemented
2#42710C212yesmaximal, complemented
3#42639C212yesmaximal, complemented
4#42622C212yesmaximal
5#41791C214yesmaximal, complemented
6#41784C214yesmaximal, complemented
7#41777C214yesmaximal, complemented
8#41771C214yesmaximal, complemented
9#39553C212yesmaximal, complemented
10#39547C212yesmaximal, complemented
11#39497C211yesmaximal, characteristic, complemented
12#39490C211yesmaximal, characteristic, complemented
13#38923C211yesmaximal, characteristic
14#38921C211yesmaximal, characteristic
15#38265C212yesmaximal, complemented
16#38263C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37630C211yesmaximal, characteristic, complemented
19#37509C212yesmaximal, complemented
20#37503C212yesmaximal, complemented
21#36563C211yesmaximal, characteristic, complemented
22#36556C211yesmaximal, characteristic, complemented
23#36314C211yesmaximal, characteristic, complemented
24#36287C211yesmaximal, characteristic, complemented
25#35973C212yesmaximal, complemented
26#35972C212yesmaximal, complemented
27#35900C212yesmaximal
28#35899C212yesmaximal, complemented
29#35283C211yesmaximal, characteristic, complemented
30#35265C212yesmaximal, complemented
31#34629C211yesmaximal, characteristic, complemented
32#34629C212yesmaximal, complemented
33#34332C211yesmaximal, characteristic, complemented
34#34324C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2868C2211yescharacteristic
40#2864C2212yes—
41#2864C2212yes—
42#2862C2211yescharacteristic
43#2859C2212yes—
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2839C2214yes—
48#2839C2214yes—
49#2838C2214yes—
50#2835C2214yes—
51#2833C2214yes—
52#2827C2214yes—
53#2802C2214yes—
54#2796C2214yes—
55#2794C2214yes—
56#2790C2214yes—
57#2787C2214yes—
58#2787C2214yes—
59#2777C2214yes—
60#2774C2214yes—
61#2772C2214yes—
62#2762C2214yes—
63#2745C2214yes—
64#2739C2214yes—
65#2739C2214yes—
66#2729C2214yes—
67#2722C2214yes—
68#2719C2214yes—
69#2719C2214yes—
70#2707C2214yes—
71#2698C2214yes—
72#2695C2214yes—
73#2690C2214yes—
74#2689C2214yes—
75#2689C2214yes—
76#2680C2214yes—
77#2666C2214yes—
78#2655C2214yes—
79#2655C2214yes—
80#2655C2212yes—
81#2655C2212yes—
82#2655C2214yes—
83#2655C2214yes—
84#2654C2214yes—
85#2653C2214yes—
86#2652C2212yes—
87#2652C2214yes—
88#2652C2212yes—
89#2652C2214yes—
90#2652C2214yes—
91#2650C2214yes—
92#2647C2212yes—
93#2647C2212yes—
94#2647C2211yescharacteristic
95#2647C2212yes—
96#2647C2212yes—
97#2645C2212yes—
98#2645C2212yes—
99#2645C2212yes—
100#2645C2211yescharacteristic
101#2645C2211yescharacteristic
102#2645C2212yes—
103#2642C2211yescharacteristic
104#2642C2212yes—
105#2634C2214yes—
106#2629C2212yes—
107#2629C2211yescharacteristic
108#2628C2212yes—
109#2627C2214yes—
110#2625C2212yes—
111#2625C2212yes—
112#2625C2211yescharacteristic
113#2625C2211yescharacteristic
114#2623C2214yes—
115#2621C2212yes—
116#2621C2211yescharacteristic
117#2612C2214yes—
118#2612C2214yes—
119#2606C2214yes—
120#2597C2214yes—
121#2596C2214yes—
122#2594C2214yes—
123#2590C2214yes—
124#2588C2214yes—
125#2588C2214yes—
126#2582C2211yescharacteristic
127#2582C2211yescharacteristic
128#2577C2214yes—
129#2573C2214yes—
130#2571C2211yescharacteristic
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2567C2211yescharacteristic
134#2567C2212yes—
135#2566C2212yes—
136#2558C2214yes—
137#2556C2214yes—
138#2552C2212yes—
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2550C2214yes—
142#2550C2212yes—
143#2547C2212yes—
144#2546C2211yescharacteristic
145#2533C2214yes—
146#2530C2214yes—
147#2530C2214yes—
148#2529C2214yes—
149#2528C2214yes—
150#2528C2214yes—
151#2527C2214yes—
152#2520C2214yes—
153#2515C2214yes—
154#2514C2212yes—
155#2514C2212yes—
156#2511C2214yes—
157#2511C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2511C2212yes—
161#2511C2212yes—
162#2509C2214yes—
163#2509C2212yes—
164#2509C2212yes—
165#2508C2214yes—
166#2508C2212yes—
167#2507C2214yes—
168#2507C2214yes—
169#2507C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2506C2214yes—
173#2506C2212yes—
174#2505C2214yes—
175#2505C2214yes—
176#2503C2212yes—
177#2499C2212yes—
178#2499C2212yes—
179#2497C2212yes—
180#2495C2212yes—
181#2493C2214yes—
182#2492C2212yes—
183#2492C2212yes—
184#2489C2212yes—
185#2489C2214yes—
186#2488C2214yes—
187#2486C2212yes—
188#2485C2212yes—
189#2473C2214yes—
190#2473C2214yes—
191#2453C2212yes—
192#2453C2212yes—
193#2453C2212yes—
194#2453C2212yes—
195#2452C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2451C2212yes—
199#2451C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2441C2212yes—
206#2440C2212yes—
207#2439C2212yes—
208#2429C2212yes—
209#2427C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2422C2212yes—
214#2421C2212yes—
215#2417C2212yes—
216#2415C2212yes—
217#2402C2214yes—
218#2402C2214yes—
219#2402C2212yes—
220#2402C2212yes—
221#2401C2214yes—
222#2401C2212yes—
223#2401C2214yes—
224#2401C2212yes—
225#2374C2212yes—
226#2374C2212yes—
227#2373C2214yes—
228#2373C2212yes—
229#2373C2212yes—
230#2370C2212yes—
231#2370C2211yescharacteristic
232#2370C2211yescharacteristic
233#2370C2212yes—
234#2369C2211yescharacteristic
235#2369C2212yes—
236#2367C2212yes—
237#2367C2211yescharacteristic
238#2367C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2212yes—
241#2363C2211yescharacteristic
242#2363C2211yescharacteristic
243#2362C2212yes—
244#2362C2211yescharacteristic
245#2362C2212yes—
246#2362C2211yescharacteristic
247#2360C2214yes—
248#2360C2212yes—
249#2356C2212yes—
250#2355C2212yes—
251#2355C2212yes—
252#2355C2212yes—
253#2354C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258#2346C2212yes—
259#2346C2212yes—
260#2345C2212yes—
261#2334C2214yes—
262#2331C2212yes—
263#2330C2212yes—
264#2329C2214yes—
265#2326C2212yes—
266#2317C2212yes—
267#2317C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2314C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281#2298C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290C2×#389C2212yes—
291#2290C2212yes—
292#2276C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#556—28no—
300#554—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308#529—28no—
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2314yes—
360C22×C42C2311yescharacteristic
361C22×C42C2312yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#401C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2311yescharacteristic
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2412yes—
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—82no—
836#126—28no—
837#126—216no—
838#125—24no—
839#125—28no—
840#125—24no—
841#125—44no—
842#125—84no—
843#125—84no—
844#125—84no—
845#124—24no—
846#124—28no—
847#123—28no—
848#123—84no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—24no—
852C22⋊Q8—216no—
853C22⋊Q8—42no—
854C22⋊Q8—42no—
855C22⋊Q8—44no—
856C22⋊Q8—84no—
857C22⋊Q8—82no—
858#121—24no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—82no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—24no—
873C4×D4—42no—
874C4×D4—44no—
875C4×D4#4118yes—
876#117—28no—
877#117—28no—
878#117—24no—
879#117—28no—
880#117—24no—
881#117—42no—
882#117—44no—
883#117—42no—
884C2×C4⋊C4—28no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—84no—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—24no—
1000C2×C42—44no—
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
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—
1136C24C2511yescharacteristic
1137C24C2512yes—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4C2×#4114yes—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—28no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—44no—
1177C22×C4—42no—
1178C22×C4—41no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4C2×#4118yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—28no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4C2×#4114yes—
1301C4⋊C42−1+414yes—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—24no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4C2×#4118yes—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—24no—
1335C42—28no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—22no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—28no—
1346C42—22no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—42no—
1353C42—42no—
1354C42—42no—
1355C42—44no—
1356C42—42no—
1357C42—41no—
1358C42—41no—
1359C42—44no—
1360C42—42no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—44no—
1365C42—41no—
1366C42—44no—
1367C42—42no—
1368C42—42no—
1369C42—41no—
1370C42C2×#4114yes—
1371C422−1+414yes—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23C22×#4114yes—
1386C23C2611yescharacteristic
1387Q8—44no—
1388Q8—48no—
1389Q8—44no—
1390Q8—44no—
1391Q8—84no—
1392Q8—164no—
1393D4—28no—
1394D4—84no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—216no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—84no—
1488C2×C4—88no—
1489C2×C4—84no—
1490C2×C4—164no—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4112yes—
1493C2×C4C22×#4112yes—
1494C2×C4C22×#4112yes—
1495C2×C4C2×2−1+414yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4#58512yes—
1501C2×C4#58512yes—
1502C22—24no—
1503C22—24no—
1504C22—24no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22C23×#4111yescharacteristic
1517C22C22×2−1+411yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C22C2×#58511yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22H(7,𝔽2)11yescharacteristic
1522C222−1+611yescharacteristic
1523C4—24no—
1524C4—22no—
1525C4—22no—
1526C4—24no—
1527C4—22no—
1528C4—41no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—41no—
1533C4—42no—
1534C4—44no—
1535C4—42no—
1536C4—41no—
1537C4—42no—
1538C4—44no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—41no—
1543C4—42no—
1544C4—41no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—42no—
1551C4—44no—
1552C4—44no—
1553C4—41no—
1554C4#346114yes—
1555C4#351514yes—
1556C2—44no—
1557C2—81no—
1558C2C2×#346111yescharacteristic
1559C2C2×#351511yescharacteristic
1560C2#6285711yescharacteristic
1561C2#6294311yescharacteristic
1562C2#6295011yescharacteristic
1563C2#6295611yescharacteristic
1564C2#6296611yescharacteristic
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. #42717C2semidirect
2. #42710C2semidirect
3. #42639C2semidirect
5. #41791C2semidirect
6. #41784C2semidirect
7. #41777C2semidirect
8. #41771C2semidirect
9. #39553C2semidirect
10. #39547C2semidirect
11. #39497C2semidirect
12. #39490C2semidirect
15. #38265C2semidirect
16. #38263C2semidirect
17. #37638C2semidirect
18. #37630C2semidirect
19. #37509C2semidirect
20. #37503C2semidirect
21. #36563C2semidirect
22. #36556C2semidirect
23. #36314C2semidirect
24. #36287C2semidirect
25. #35973C2semidirect
26. #35972C2semidirect
28. #35899C2semidirect
29. #35283C2semidirect
30. #35265C2semidirect
31. #34629C2semidirect
32. #34629C2semidirect
33. #34332C2semidirect
34. #34324C2semidirect

Maximal subgroups

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

subgroupindex
#427172
#427102
#426392
#426222
#417912
#417842
#417772
#417712
#395532
#395472
#394972
#394902
#389232
#389212
#382652
#382632
#376382
#376302
#375092
#375032
#365632
#365562
#363142
#362872
#359732
#359722
#359002
#358992
#352832
#352652
#346292
#343322
#343242
#341512