Finite Group Databasebeta

← #8429546

Subgroups — #8429546

Order 512.

4083 conjugacy classes of subgroups.

The subgroup lattice has 1587 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59497C212yesmaximal, complemented
2#59457C211yesmaximal, characteristic, complemented
3#59448C212yesmaximal, complemented
4#59256C211yesmaximal, characteristic, complemented
5#59249C211yesmaximal, characteristic, complemented
6#56970C214yesmaximal, complemented
7#55960C214yesmaximal, complemented
8#53083C212yesmaximal, complemented
9#53083C212yesmaximal, complemented
10#53079C212yesmaximal, complemented
11#53069C212yesmaximal, complemented
12#52557C214yesmaximal, complemented
13#42783C212yesmaximal, complemented
14#42781C212yesmaximal, complemented
15#42757C212yesmaximal, complemented
16#42727C212yesmaximal, complemented
17#40848C214yesmaximal, complemented
18#39800C212yesmaximal, complemented
19#39780C212yesmaximal, complemented
20#39754C211yesmaximal, characteristic, complemented
21#39736C211yesmaximal, characteristic, complemented
22#39298C212yesmaximal, complemented
23#39251C212yesmaximal, complemented
24#39183C211yesmaximal, characteristic, complemented
25#39147C211yesmaximal, characteristic, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37571C212yesmaximal, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36302C211yesmaximal, characteristic, complemented
32#36211C211yesmaximal, characteristic
33#34978C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34793C211yesmaximal, characteristic, complemented
36#2861C2212yes—
37#2860C2212yes—
38#2859C2211yescharacteristic
39#2856C2211yescharacteristic
40#2856C2211yescharacteristic
41#2841C2214yes—
42#2836C2214yes—
43#2832C2214yes—
44#2831C2214yes—
45#2831C2214yes—
46#2830C2214yes—
47#2830C2214yes—
48#2830C2214yes—
49#2829C2214yes—
50#2829C2214yes—
51#2827C2214yes—
52#2827C2214yes—
53#2824C2214yes—
54#2823C2214yes—
55#2802C2214yes—
56#2802C2214yes—
57#2800C2214yes—
58#2798C2214yes—
59#2796C2214yes—
60#2793C2214yes—
61#2793C2214yes—
62#2791C2214yes—
63#2787C2214yes—
64#2786C2214yes—
65#2783C2214yes—
66#2780C2214yes—
67#2779C2214yes—
68#2775C2214yes—
69#2774C2214yes—
70#2772C2214yes—
71#2772C2214yes—
72#2770C2214yes—
73#2767C2214yes—
74#2765C2214yes—
75#2765C2214yes—
76#2761C2214yes—
77#2761C2214yes—
78#2757C2214yes—
79#2757C2214yes—
80#2751C2214yes—
81#2745C2214yes—
82#2740C2214yes—
83#2739C2214yes—
84#2739C2214yes—
85#2723C2214yes—
86#2723C2214yes—
87#2705C2214yes—
88#2701C2214yes—
89#2691C2214yes—
90#2689C2214yes—
91#2689C2214yes—
92#2666C2214yes—
93#2664C2214yes—
94#2663C2214yes—
95#2660C2212yes—
96#2660C2212yes—
97#2652C2214yes—
98#2652C2214yes—
99#2652C2214yes—
100#2651C2214yes—
101#2650C2214yes—
102#2647C2212yes—
103#2647C2212yes—
104#2644C2214yes—
105#2644C2212yes—
106#2644C2212yes—
107#2644C2212yes—
108#2643C2214yes—
109#2640C2212yes—
110#2640C2212yes—
111#2638C2214yes—
112#2629C2212yes—
113#2628C2212yes—
114#2620C2212yes—
115#2612C2214yes—
116#2601C2214yes—
117#2594C2214yes—
118#2584C2212yes—
119#2582C2211yescharacteristic
120#2581C2212yes—
121#2580C2212yes—
122#2577C2214yes—
123#2571C2212yes—
124#2571C2211yescharacteristic
125#2571C2211yescharacteristic
126#2570C2212yes—
127#2570C2212yes—
128#2570C2212yes—
129#2570C2212yes—
130#2566C2212yes—
131#2566C2212yes—
132#2566C2212yes—
133#2566C2212yes—
134#2565C2212yes—
135#2559C2214yes—
136#2552C2212yes—
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2551C2211yescharacteristic
143#2550C2212yes—
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2538C2212yes—
147#2535C2212yes—
148#2533C2212yes—
149#2531C2214yes—
150#2530C2214yes—
151#2530C2212yes—
152#2528C2214yes—
153#2528C2212yes—
154#2527C2214yes—
155#2527C2212yes—
156#2526C2214yes—
157#2523C2212yes—
158#2517C2212yes—
159#2515C2214yes—
160#2514C2211yescharacteristic
161#2514C2212yes—
162#2513C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2512C2212yes—
167#2512C2212yes—
168#2512C2214yes—
169#2512C2212yes—
170#2511C2212yes—
171#2511C2211yescharacteristic
172#2509C2212yes—
173#2509C2211yescharacteristic
174#2509C2212yes—
175#2508C2212yes—
176#2508C2212yes—
177#2506C2211yescharacteristic
178#2500C2212yes—
179#2500C2212yes—
180#2499C2211yescharacteristic
181#2499C2212yes—
182#2499C2211yescharacteristic
183#2496C2212yes—
184#2496C2212yes—
185#2496C2211yescharacteristic
186#2494C2212yes—
187#2494C2211yescharacteristic
188#2493C2214yes—
189#2492C2211yescharacteristic
190#2490C2212yes—
191#2490C2212yes—
192#2490C2212yes—
193#2490C2212yes—
194#2490C2212yes—
195#2489C2212yes—
196#2489C2211yescharacteristic
197#2488C2214yes—
198#2485C2211yescharacteristic
199#2485C2211yescharacteristic
200#2478C2214yes—
201#2478C2214yes—
202#2476C2214yes—
203#2475C2214yes—
204#2469C2214yes—
205#2466C2212yes—
206#2465C2214yes—
207#2460C2212yes—
208#2458C2214yes—
209#2454C2212yes—
210#2453C2212yes—
211#2453C2212yes—
212#2452C2212yes—
213#2452C2212yes—
214#2452C2212yes—
215#2450C2214yes—
216#2447C2212yes—
217#2447C2212yes—
218#2447C2212yes—
219#2441C2212yes—
220#2441C2212yes—
221#2441C2212yes—
222#2441C2211yescharacteristic
223#2439C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2439C2211yescharacteristic
227#2427C2212yes—
228#2426C2212yes—
229#2426C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2421C2212yes—
233#2421C2212yes—
234#2421C2214yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2415C2211yescharacteristic
240#2415C2211yescharacteristic
241#2414C2212yes—
242#2414C2212yes—
243#2401C2212yes—
244#2401C2212yes—
245#2398C2212yes—
246#2396C2214yes—
247#2395C2212yes—
248#2370C2212yes—
249#2366C2211yescharacteristic
250#2366C2211yescharacteristic
251#2363C2212yes—
252#2363C2212yes—
253#2363C2212yes—
254#2363C2212yes—
255#2357C2212yes—
256#2357C2212yes—
257#2356C2212yes—
258#2355C2211yescharacteristic
259#2355C2211yescharacteristic
260#2355C2212yes—
261#2354C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263Q8×C4⋊C4C2211yescharacteristic
264#2349C2212yes—
265#2349C2212yes—
266#2346C2212yes—
267#2343C2214yes—
268#2334C2214yes—
269#2330C2212yes—
270#2330C2212yes—
271#2326C2212yes—
272#2324C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287#2298C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2311yescharacteristic
302C2×#127C2311yescharacteristic
303C2×#126C2312yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×#117C2312yes—
346C2×#117C2314yes—
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355#401C2314yes—
356#401C2312yes—
357#401C2312yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#399C2312yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2312yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2314yes—
486#393C2312yes—
487#393C2314yes—
488#392C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#383C2312yes—
704#383C2314yes—
705#383C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2314yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2414yes—
814C22×D4C2412yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2414yes—
819C22×D4C2414yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—42no—
832#127—24no—
833#126—44no—
834#126—48no—
835#126—84no—
836#126—84no—
837#125—44no—
838#125—42no—
839#125—44no—
840#125—44no—
841#125—44no—
842#125—44no—
843#125—44no—
844#124—44no—
845#124—44no—
846#123—84no—
847C22⋊Q8—42no—
848C22⋊Q8—42no—
849C22⋊Q8—42no—
850C22⋊Q8—42no—
851C22⋊Q8—84no—
852C22⋊Q8—84no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—44no—
858#121—82no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8—84no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—42no—
872C4×D4—42no—
873C4×D4—42no—
874C4×D4—82no—
875#117—44no—
876#117—48no—
877#117—42no—
878#117—42no—
879#117—44no—
880#117—42no—
881#117—42no—
882#117—82no—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C42—24no—
1007C2×C42—24no—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129C24C2511yescharacteristic
1130C24C2511yescharacteristic
1131C24C2514yes—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—22no—
1138C2×Q8—42no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—42no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—41no—
1178C22×C4—44no—
1179C22×C4—41no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—41no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2514yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
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—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C22⋊C4—28no—
1298C22⋊C4—22no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—22no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—24no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C42—44no—
1371C42—41no—
1372C42—41no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C422−1+414yes—
1379C23—21no—
1380C23—21no—
1381C23—24no—
1382C23—21no—
1383C23—24no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—24no—
1389C23—24no—
1390C23—24no—
1391C23—24no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—24no—
1399C23—21no—
1400C23C2611yescharacteristic
1401Q8—44no—
1402Q8—44no—
1403Q8—84no—
1404Q8—88no—
1405D4—44no—
1406D4—48no—
1407D4—48no—
1408D4—84no—
1409D4—164no—
1410D4—164no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—88no—
1506C2×C4—164no—
1507C2×C4—164no—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4#58512yes—
1512C2×C4#58512yes—
1513C2×C4#58512yes—
1514C2×C4#58512yes—
1515C2×C4#58512yes—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—44no—
1521C22—44no—
1522C22—44no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—44no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—44no—
1531C22—44no—
1532C22—41no—
1533C22—41no—
1534C22—44no—
1535C22—41no—
1536C22—41no—
1537C22C22×2−1+411yescharacteristic
1538C22C2×#58511yescharacteristic
1539C22C2×#58511yescharacteristic
1540C22C2×#58511yescharacteristic
1541C22C2×#58511yescharacteristic
1542C22C2×#58511yescharacteristic
1543C22H(7,𝔽2)11yescharacteristic
1544C4—22no—
1545C4—22no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—42no—
1560C4—44no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4—41no—
1571C4—44no—
1572C4—42no—
1573C4—42no—
1574C4#356514yes—
1575C4#356514yes—
1576C2—81no—
1577C2—81no—
1578C2—84no—
1579C2C2×#356511yescharacteristic
1580C2C2×#356511yescharacteristic
1581C2#6276211yescharacteristic
1582C2#6295811yescharacteristic
1583C2#6296611yescharacteristic
1584C2#6296911yescharacteristic
1585C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36211C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59497C2semidirect
2. #59457C2semidirect
3. #59448C2semidirect
4. #59256C2semidirect
5. #59249C2semidirect
6. #56970C2semidirect
7. #55960C2semidirect
8. #53083C2semidirect
9. #53083C2semidirect
10. #53079C2semidirect
11. #53069C2semidirect
12. #52557C2semidirect
13. #42783C2semidirect
14. #42781C2semidirect
15. #42757C2semidirect
16. #42727C2semidirect
17. #40848C2semidirect
18. #39800C2semidirect
19. #39780C2semidirect
20. #39754C2semidirect
21. #39736C2semidirect
22. #39298C2semidirect
23. #39251C2semidirect
24. #39183C2semidirect
25. #39147C2semidirect
26. #37629C2semidirect
27. #37624C2semidirect
28. #37593C2semidirect
29. #37571C2semidirect
30. #36460C2semidirect
31. #36302C2semidirect
33. #34978C2semidirect
34. #34803C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#594972
#594572
#594482
#592562
#592492
#569702
#559602
#530832
#530792
#530692
#525572
#427832
#427812
#427572
#427272
#408482
#398002
#397802
#397542
#397362
#392982
#392512
#391832
#391472
#376292
#376242
#375932
#375712
#364602
#363022
#362112
#349782
#348032
#347932