Finite Group Databasebeta

← #7712236

Subgroups — #7712236

Order 512.

4352 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59766C212yesmaximal, complemented
2#59756C212yesmaximal, complemented
3#59567C212yesmaximal
4#59563C212yesmaximal, complemented
5#46217C214yesmaximal, complemented
6#45585C214yesmaximal, complemented
7#39643C211yesmaximal, characteristic, complemented
8#39635C211yesmaximal, characteristic, complemented
9#39498C211yesmaximal, characteristic, complemented
10#39490C211yesmaximal, characteristic, complemented
11#38731C214yesmaximal, complemented
12#38559C214yesmaximal, complemented
13#38243C212yesmaximal, complemented
14#38230C212yesmaximal, complemented
15#38072C212yesmaximal, complemented
16#38060C212yesmaximal
17#37947C212yesmaximal, complemented
18#37938C212yesmaximal, complemented
19#37638C211yesmaximal, characteristic, complemented
20#37630C211yesmaximal, characteristic, complemented
21#37415C212yesmaximal, complemented
22#37407C212yesmaximal, complemented
23#36635C211yesmaximal, characteristic, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36405C211yesmaximal, characteristic
26#36400C212yesmaximal, complemented
27#36314C211yesmaximal, characteristic, complemented
28#36307C212yesmaximal, complemented
29#36287C211yesmaximal, characteristic, complemented
30#36275C211yesmaximal, characteristic
31#35324C212yesmaximal, complemented
32#35265C212yesmaximal, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35#34026C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2864C2212yes—
41#2864C2212yes—
42#2863C2211yescharacteristic
43#2863C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2863C2211yescharacteristic
47#2862C2211yescharacteristic
48#2862C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2855C2212yes—
57#2855C2211yescharacteristic
58#2855C2211yescharacteristic
59#2855C2212yes—
60#2855C2212yes—
61#2855C2212yes—
62#2855C2212yes—
63#2851C2212yes—
64#2851C2212yes—
65#2839C2214yes—
66#2833C2214yes—
67#2810C2214yes—
68#2807C2214yes—
69#2807C2214yes—
70#2802C2214yes—
71#2802C2214yes—
72#2799C2214yes—
73#2794C2214yes—
74#2790C2214yes—
75#2788C2214yes—
76#2787C2214yes—
77#2782C2214yes—
78#2776C2214yes—
79#2776C2214yes—
80#2771C2214yes—
81#2770C2214yes—
82#2767C2214yes—
83#2765C2214yes—
84#2764C2214yes—
85#2758C2214yes—
86#2755C2214yes—
87#2750C2214yes—
88#2747C2214yes—
89#2746C2214yes—
90#2746C2214yes—
91#2743C2214yes—
92#2743C2214yes—
93#2739C2214yes—
94#2739C2214yes—
95#2738C2214yes—
96#2738C2214yes—
97#2689C2214yes—
98#2689C2214yes—
99#2655C2214yes—
100#2647C2212yes—
101#2647C2212yes—
102#2647C2212yes—
103#2647C2212yes—
104#2647C2212yes—
105#2645C2212yes—
106#2645C2212yes—
107#2645C2212yes—
108#2645C2212yes—
109#2642C2212yes—
110#2634C2214yes—
111#2628C2212yes—
112#2621C2212yes—
113#2612C2214yes—
114#2611C2214yes—
115#2611C2214yes—
116#2606C2214yes—
117#2590C2214yes—
118#2588C2214yes—
119#2588C2214yes—
120#2584C2212yes—
121#2582C2211yescharacteristic
122#2582C2212yes—
123#2582C2211yescharacteristic
124#2580C2212yes—
125#2578C2214yes—
126#2575C2214yes—
127#2575C2214yes—
128#2575C2214yes—
129#2573C2214yes—
130#2571C2211yescharacteristic
131#2568C2211yescharacteristic
132#2568C2212yes—
133#2567C2211yescharacteristic
134#2567C2211yescharacteristic
135#2556C2214yes—
136#2556C2214yes—
137#2552C2211yescharacteristic
138#2546C2211yescharacteristic
139#2533C2214yes—
140#2533C2214yes—
141#2533C2214yes—
142#2533C2214yes—
143#2533C2214yes—
144#2530C2214yes—
145#2530C2214yes—
146#2528C2214yes—
147#2528C2214yes—
148#2528C2214yes—
149#2527C2214yes—
150#2527C2214yes—
151#2524C2214yes—
152#2522C2214yes—
153#2514C2212yes—
154#2514C2212yes—
155#2511C2212yes—
156#2511C2212yes—
157#2511C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2509C2214yes—
164#2508C2212yes—
165#2508C2214yes—
166#2507C2212yes—
167#2507C2214yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2506C2214yes—
172#2506C2212yes—
173#2505C2214yes—
174#2505C2214yes—
175#2503C2212yes—
176#2499C2212yes—
177#2499C2212yes—
178#2497C2212yes—
179#2495C2212yes—
180#2493C2214yes—
181#2487C2212yes—
182#2485C2212yes—
183#2484C2214yes—
184#2478C2214yes—
185#2477C2214yes—
186#2475C2214yes—
187#2473C2214yes—
188#2473C2214yes—
189#2468C2214yes—
190#2454C2212yes—
191#2453C2212yes—
192#2453C2212yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2453C2212yes—
197#2449C2214yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2446C2212yes—
202#2446C2212yes—
203#2442C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2441C2212yes—
207#2438C2214yes—
208#2432C2212yes—
209#2423C2212yes—
210#2421C2212yes—
211#2417C2212yes—
212#2415C2212yes—
213#2383C2214yes—
214#2378C2214yes—
215#2371C2214yes—
216#2370C2214yes—
217#2370C2212yes—
218#2370C2212yes—
219#2369C2211yescharacteristic
220#2367C2212yes—
221#2365C2212yes—
222#2365C2211yescharacteristic
223#2362C2212yes—
224#2362C2212yes—
225#2362C2212yes—
226#2360C2212yes—
227#2356C2212yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230Q8×C4⋊C4C2212yes—
231Q8×C4⋊C4C2211yescharacteristic
232Q8×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2212yes—
235#2347C2212yes—
236#2346C2212yes—
237#2344C2212yes—
238#2344C2214yes—
239#2343C2214yes—
240#2339C2212yes—
241#2334C2214yes—
242#2331C2212yes—
243#2330C2212yes—
244#2327C2212yes—
245#2326C2212yes—
246#2323C2212yes—
247#2323C2212yes—
248#2323C2214yes—
249#2320C2212yes—
250#2319C2212yes—
251#2317C2212yes—
252#2317C2212yes—
253#2317C2212yes—
254#2316C2212yes—
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×#125C2212yes—
260C4×#125C2212yes—
261C4×C22⋊Q8C2211yescharacteristic
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2211yescharacteristic
266#2298C2212yes—
267#2298C2212yes—
268#2297C2211yescharacteristic
269#2297C2211yescharacteristic
270#2296C2212yes—
271#2296C2211yescharacteristic
272#2296C2211yescharacteristic
273#2295C2211yescharacteristic
274#2295C2211yescharacteristic
275#2295C2212yes—
276#2295C2212yes—
277#2295C2212yes—
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2295C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288C2×#389C2212yes—
289#2290C2212yes—
290#2290C2212yes—
291#2290C2212yes—
292#2290C2212yes—
293#2283C2212yes—
294#2283C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#556—28no—
301#554—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C4×#41—28no—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2314yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2314yes—
355C22×C42C2312yes—
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#401C2314yes—
365#401C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
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#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#394C2314yes—
441#394C2314yes—
442#393C2314yes—
443#391C2312yes—
444#391C2312yes—
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2312yes—
453#391C2314yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2312yes—
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2311yescharacteristic
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793#376C2312yes—
794#376C2312yes—
795#376C2312yes—
796#376C2314yes—
797#376C2314yes—
798#376C2314yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803C2×#95C2314yes—
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841#126—216no—
842#125—28no—
843#125—44no—
844#125—44no—
845#125—48no—
846#125—48no—
847#125—44no—
848#124—28no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—216no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856C22⋊Q8—42no—
857C4×Q8—24no—
858C4×Q8—28no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×D4—24no—
869C4×D4—28no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—44no—
873C4×D4#4118yes—
874#117—28no—
875#117—24no—
876#117—24no—
877#117—28no—
878#117—28no—
879#117—44no—
880#117—44no—
881#117—44no—
882#117—48no—
883#117—44no—
884#117—42no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—48no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C42—28no—
993C2×C42—24no—
994C2×C42—24no—
995C2×C42—24no—
996C2×C42—42no—
997C2×C42—42no—
998C2×C42—42no—
999C2×C42—42no—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
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#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2512yes—
1140C24C2511yescharacteristic
1141#41—416no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—42no—
1165C2×D4C2×#4114yes—
1166C22×C4—22no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—28no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4C2×#4118yes—
1201C22×C42−1+414yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C4⋊C4—22no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4C2×#4114yes—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4C2×#4118yes—
1339C42—22no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—28no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—28no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—42no—
1379C42—42no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42C2×#4114yes—
1387C422−1+414yes—
1388C23—21no—
1389C23—22no—
1390C23—21no—
1391C23—22no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—21no—
1397C23—22no—
1398C23—21no—
1399C23—22no—
1400C23C22×#4114yes—
1401C23C2×2−1+412yes—
1402C23C2611yescharacteristic
1403Q8—48no—
1404Q8—44no—
1405Q8—44no—
1406Q8—44no—
1407Q8—84no—
1408Q8—84no—
1409D4—28no—
1410D4—48no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—28no—
1426C2×C4—216no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—48no—
1502C2×C4—44no—
1503C2×C4—48no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—88no—
1508C2×C4—88no—
1509C2×C4C22×#4114yes—
1510C2×C4C22×#4112yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4112yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4C2×2−1+412yes—
1518C2×C4#58512yes—
1519C2×C4#58512yes—
1520C2×C4#58512yes—
1521C2×C4#58512yes—
1522C22—22no—
1523C22—24no—
1524C22—22no—
1525C22—24no—
1526C22—24no—
1527C22—22no—
1528C22—42no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22C23×#4111yescharacteristic
1537C22C22×2−1+411yescharacteristic
1538C22C22×2−1+411yescharacteristic
1539C22C2×#58511yescharacteristic
1540C22C2×#58511yescharacteristic
1541C22C2×#58511yescharacteristic
1542C22C2×#58511yescharacteristic
1543C4—24no—
1544C4—22no—
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—42no—
1551C4—44no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—44no—
1559C4—42no—
1560C4—41no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4#349514yes—
1575C4#351514yes—
1576C2—42no—
1577C2—44no—
1578C2#6276111yescharacteristic
1579C2#6276211yescharacteristic
1580C2C2×#351511yescharacteristic
1581C2C2×#349511yescharacteristic
1582C2#6281011yescharacteristic
1583C2#6283111yescharacteristic
1584C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59766C2semidirect
2. #59756C2semidirect
4. #59563C2semidirect
5. #46217C2semidirect
6. #45585C2semidirect
7. #39643C2semidirect
8. #39635C2semidirect
9. #39498C2semidirect
10. #39490C2semidirect
11. #38731C2semidirect
12. #38559C2semidirect
13. #38243C2semidirect
14. #38230C2semidirect
15. #38072C2semidirect
17. #37947C2semidirect
18. #37938C2semidirect
19. #37638C2semidirect
20. #37630C2semidirect
21. #37415C2semidirect
22. #37407C2semidirect
23. #36635C2semidirect
24. #36635C2semidirect
26. #36400C2semidirect
27. #36314C2semidirect
28. #36307C2semidirect
29. #36287C2semidirect
31. #35324C2semidirect
32. #35265C2semidirect
33. #34484C2semidirect
34. #34481C2semidirect

Maximal subgroups

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

subgroupindex
#597662
#597562
#595672
#595632
#462172
#455852
#396432
#396352
#394982
#394902
#387312
#385592
#382432
#382302
#380722
#380602
#379472
#379382
#376382
#376302
#374152
#374072
#366352
#364052
#364002
#363142
#363072
#362872
#362752
#353242
#352652
#344842
#344812
#340262