Finite Group Databasebeta

← #7646451

Subgroups — #7646451

Order 512.

4239 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42859C212yesmaximal, complemented
2#42848C212yesmaximal, complemented
3#42753C212yesmaximal, complemented
4#42720C212yesmaximal, complemented
5#41866C214yesmaximal, complemented
6#41802C214yesmaximal, complemented
7#39753C211yesmaximal, characteristic, complemented
8#39724C211yesmaximal, characteristic, complemented
9#39675C212yesmaximal, complemented
10#39633C211yesmaximal, characteristic, complemented
11#39598C211yesmaximal, characteristic
12#39286C212yesmaximal
13#39173C211yesmaximal, characteristic, complemented
14#39146C211yesmaximal, characteristic
15#38986C211yesmaximal, characteristic, complemented
16#38931C211yesmaximal, characteristic, complemented
17#38275C212yesmaximal, complemented
18#38239C212yesmaximal, complemented
19#37598C212yesmaximal, complemented
20#37580C212yesmaximal, complemented
21#36953C214yesmaximal, complemented
22#36880C214yesmaximal, complemented
23#35657C212yesmaximal, complemented
24#35646C212yesmaximal, complemented
25#35283C211yesmaximal, characteristic, complemented
26#35235C212yesmaximal, complemented
27#35231C212yesmaximal, complemented
28#35214C212yesmaximal
29#35208C211yesmaximal, characteristic, complemented
30#35206C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34913C211yesmaximal, characteristic
33#34337C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2863C2212yes—
41#2862C2211yescharacteristic
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2214yes—
46#2855C2214yes—
47#2852C2214yes—
48#2851C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2838C2214yes—
52#2833C2214yes—
53#2805C2214yes—
54#2796C2214yes—
55#2791C2214yes—
56#2791C2214yes—
57#2790C2214yes—
58#2790C2214yes—
59#2789C2214yes—
60#2789C2214yes—
61#2787C2214yes—
62#2777C2214yes—
63#2776C2214yes—
64#2770C2214yes—
65#2762C2214yes—
66#2758C2214yes—
67#2758C2214yes—
68#2747C2214yes—
69#2746C2214yes—
70#2742C2214yes—
71#2741C2214yes—
72#2729C2214yes—
73#2721C2214yes—
74#2720C2214yes—
75#2719C2214yes—
76#2719C2214yes—
77#2713C2214yes—
78#2704C2214yes—
79#2704C2214yes—
80#2698C2214yes—
81#2690C2214yes—
82#2690C2214yes—
83#2690C2214yes—
84#2683C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2660C2212yes—
89#2655C2214yes—
90#2655C2214yes—
91#2655C2214yes—
92#2655C2214yes—
93#2654C2214yes—
94#2653C2214yes—
95#2652C2214yes—
96#2652C2214yes—
97#2652C2214yes—
98#2650C2214yes—
99#2647C2212yes—
100#2647C2212yes—
101#2647C2212yes—
102#2645C2212yes—
103#2645C2212yes—
104#2642C2212yes—
105#2629C2212yes—
106#2628C2212yes—
107#2621C2212yes—
108#2606C2214yes—
109#2605C2214yes—
110#2597C2214yes—
111#2587C2214yes—
112#2584C2212yes—
113#2582C2211yescharacteristic
114#2581C2212yes—
115#2578C2212yes—
116#2577C2214yes—
117#2577C2212yes—
118#2577C2214yes—
119#2576C2212yes—
120#2575C2212yes—
121#2574C2214yes—
122#2573C2214yes—
123#2571C2212yes—
124#2571C2211yescharacteristic
125#2570C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2569C2214yes—
129#2568C2211yescharacteristic
130#2568C2212yes—
131#2567C2211yescharacteristic
132#2567C2211yescharacteristic
133#2565C2212yes—
134#2565C2212yes—
135#2562C2212yes—
136#2560C2214yes—
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2550C2212yes—
140#2550C2212yes—
141#2549C2214yes—
142#2547C2212yes—
143#2547C2211yescharacteristic
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2538C2212yes—
147#2533C2214yes—
148#2533C2214yes—
149#2529C2214yes—
150#2528C2214yes—
151#2527C2214yes—
152#2526C2214yes—
153#2525C2214yes—
154#2524C2214yes—
155#2524C2214yes—
156#2520C2214yes—
157#2519C2214yes—
158#2515C2214yes—
159#2515C2214yes—
160#2514C2212yes—
161#2514C2214yes—
162#2514C2212yes—
163#2514C2212yes—
164#2514C2211yescharacteristic
165#2514C2212yes—
166#2511C2212yes—
167#2511C2212yes—
168#2511C2212yes—
169#2510C2214yes—
170#2508C2212yes—
171#2508C2211yescharacteristic
172#2507C2212yes—
173#2506C2212yes—
174#2506C2212yes—
175#2505C2214yes—
176#2502C2212yes—
177#2497C2212yes—
178#2496C2212yes—
179#2496C2212yes—
180#2495C2212yes—
181#2495C2214yes—
182#2495C2211yescharacteristic
183#2494C2212yes—
184#2494C2212yes—
185#2492C2212yes—
186#2492C2212yes—
187#2492C2212yes—
188#2489C2214yes—
189#2489C2212yes—
190#2489C2211yescharacteristic
191#2487C2212yes—
192#2462C2214yes—
193#2454C2211yescharacteristic
194#2453C2212yes—
195#2453C2212yes—
196#2452C2212yes—
197#2451C2212yes—
198#2451C2212yes—
199#2451C2212yes—
200#2451C2212yes—
201#2447C2211yescharacteristic
202#2447C2212yes—
203#2446C2212yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2429C2212yes—
210#2427C2211yescharacteristic
211#2427C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2421C2212yes—
218#2421C2212yes—
219#2421C2212yes—
220#2420C2211yescharacteristic
221#2417C2212yes—
222#2401C2212yes—
223#2401C2214yes—
224#2395C2212yes—
225#2370C2212yes—
226#2370C2214yes—
227#2370C2212yes—
228#2369C2211yescharacteristic
229#2368C2214yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2360C2212yes—
233#2355C2211yescharacteristic
234Q8×C4⋊C4C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2212yes—
237Q8×C4⋊C4C2212yes—
238#2349C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240#2345C2212yes—
241#2336C2212yes—
242#2336C2212yes—
243#2332C2212yes—
244#2332C2212yes—
245#2331C2211yescharacteristic
246#2331C2211yescharacteristic
247#2331C2212yes—
248#2331C2212yes—
249#2330C2214yes—
250#2330C2212yes—
251#2330C2212yes—
252#2327C2211yescharacteristic
253#2327C2211yescharacteristic
254#2326C2212yes—
255#2326C2212yes—
256#2326C2212yes—
257#2324C2212yes—
258#2323C2211yescharacteristic
259#2323C2211yescharacteristic
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2212yes—
263#2320C2212yes—
264#2320C2212yes—
265#2320C2212yes—
266#2314C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×C22⋊Q8C2214yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2211yescharacteristic
279#2298C2212yes—
280#2298C2212yes—
281#2295C2211yescharacteristic
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2290C2212yes—
289#2283C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292#2276C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#557—28no—
300#554—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C42C2311yescharacteristic
360C22×C42C2312yes—
361C22×C42C2314yes—
362#401C2312yes—
363#401C2314yes—
364#401C2314yes—
365#401C2314yes—
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2312yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2312yes—
464#393C2314yes—
465#393C2314yes—
466#391C2314yes—
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2314yes—
689#384C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2312yes—
696#383C2312yes—
697#383C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#381C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—28no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—82no—
838#126—84no—
839#125—28no—
840#125—28no—
841#125—216no—
842#125—28no—
843#125—44no—
844#125—42no—
845#125—84no—
846#125—84no—
847#124—28no—
848#124—24no—
849C22⋊Q8—24no—
850C22⋊Q8—28no—
851C22⋊Q8—24no—
852C22⋊Q8—28no—
853C22⋊Q8—216no—
854C22⋊Q8—42no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C22⋊Q8—84no—
858C22⋊Q8—84no—
859C22⋊Q8—82no—
860#121—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—42no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—82no—
875C4×Q8#4118yes—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—42no—
880C4×D4—44no—
881C4×D4—44no—
882#117—28no—
883#117—24no—
884#117—42no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C42—24no—
997C2×C42—28no—
998C2×C42—84no—
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2511yescharacteristic
1137C24C2512yes—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8C2×#4114yes—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D42−1+414yes—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—41no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—44no—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4C2×#4114yes—
1301C4⋊C4C2×#4118yes—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—24no—
1335C42—28no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—42no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—41no—
1357C42—42no—
1358C42—41no—
1359C42—42no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—42no—
1366C42—41no—
1367C42—42no—
1368C42—41no—
1369C42C2×#4114yes—
1370C42C2×#4118yes—
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—
1385C23C2×2−1+414yes—
1386C23C2611yescharacteristic
1387Q8—28no—
1388Q8—44no—
1389Q8—44no—
1390Q8—48no—
1391Q8—84no—
1392Q8—84no—
1393Q8—164no—
1394D4—28no—
1395D4—84no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—48no—
1485C2×C4—48no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—88no—
1489C2×C4—82no—
1490C2×C4—84no—
1491C2×C4—88no—
1492C2×C4C22×#4114yes—
1493C2×C4C22×#4112yes—
1494C2×C4C22×#4114yes—
1495C2×C4C22×#4112yes—
1496C2×C4C22×#4112yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22C23×#4111yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C22C22×2−1+411yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22H(7,𝔽2)11yescharacteristic
1523C222−1+611yescharacteristic
1524C4—24no—
1525C4—22no—
1526C4—24no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—44no—
1531C4—42no—
1532C4—42no—
1533C4—44no—
1534C4—41no—
1535C4—42no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—44no—
1553C4—44no—
1554C4—41no—
1555C4#346114yes—
1556C4#351614yes—
1557C2—44no—
1558C2—81no—
1559C2C2×#346111yescharacteristic
1560C2C2×#351611yescharacteristic
1561C2#6285711yescharacteristic
1562C2#6294511yescharacteristic
1563C2#6295011yescharacteristic
1564C2#6295911yescharacteristic
1565C2#6296911yescharacteristic
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. #42859C2semidirect
2. #42848C2semidirect
3. #42753C2semidirect
4. #42720C2semidirect
5. #41866C2semidirect
6. #41802C2semidirect
7. #39753C2semidirect
8. #39724C2semidirect
9. #39675C2semidirect
10. #39633C2semidirect
13. #39173C2semidirect
15. #38986C2semidirect
16. #38931C2semidirect
17. #38275C2semidirect
18. #38239C2semidirect
19. #37598C2semidirect
20. #37580C2semidirect
21. #36953C2semidirect
22. #36880C2semidirect
23. #35657C2semidirect
24. #35646C2semidirect
25. #35283C2semidirect
26. #35235C2semidirect
27. #35231C2semidirect
29. #35208C2semidirect
30. #35206C2semidirect
31. #34945C2semidirect
33. #34337C2semidirect
34. C4×#554C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#428592
#428482
#427532
#427202
#418662
#418022
#397532
#397242
#396752
#396332
#395982
#392862
#391732
#391462
#389862
#389312
#382752
#382392
#375982
#375802
#369532
#368802
#356572
#356462
#352832
#352352
#352312
#352142
#352082
#352062
#349452
#349132
#343372
C4×#5542
#340852