Finite Group Databasebeta

← #7647153

Subgroups — #7647153

Order 512.

4217 conjugacy classes of subgroups.

The subgroup lattice has 1565 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42901C212yesmaximal, complemented
2#42896C212yesmaximal, complemented
3#42640C212yesmaximal, complemented
4#42573C212yesmaximal, complemented
5#41357C214yesmaximal, complemented
6#41225C214yesmaximal, complemented
7#39800C212yesmaximal, complemented
8#39761C211yesmaximal, characteristic, complemented
9#39724C211yesmaximal, characteristic, complemented
10#39625C211yesmaximal, characteristic, complemented
11#39598C211yesmaximal, characteristic
12#39294C212yesmaximal, complemented
13#39173C211yesmaximal, characteristic, complemented
14#39157C211yesmaximal, characteristic, complemented
15#38986C211yesmaximal, characteristic, complemented
16#38940C211yesmaximal, characteristic
17#38291C212yesmaximal
18#38243C212yesmaximal, complemented
19#37631C212yesmaximal, complemented
20#37598C212yesmaximal, complemented
21#37180C214yesmaximal, complemented
22#37153C214yesmaximal, complemented
23#35652C212yesmaximal, complemented
24#35577C212yesmaximal, complemented
25#35283C211yesmaximal, characteristic, complemented
26#35221C212yesmaximal, complemented
27#35217C212yesmaximal, complemented
28#35216C212yesmaximal
29#35185C212yesmaximal, complemented
30#35184C211yesmaximal, characteristic, complemented
31#34950C211yesmaximal, characteristic, complemented
32#34915C211yesmaximal, characteristic
33#34317C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2866C2214yes—
41#2864C2214yes—
42#2863C2214yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2861C2212yes—
46#2860C2214yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2839C2214yes—
50#2838C2214yes—
51#2838C2214yes—
52#2838C2214yes—
53#2810C2214yes—
54#2808C2214yes—
55#2793C2214yes—
56#2792C2214yes—
57#2789C2214yes—
58#2789C2214yes—
59#2783C2214yes—
60#2783C2214yes—
61#2776C2214yes—
62#2776C2214yes—
63#2775C2214yes—
64#2775C2214yes—
65#2775C2214yes—
66#2767C2214yes—
67#2762C2214yes—
68#2758C2214yes—
69#2758C2214yes—
70#2745C2214yes—
71#2744C2214yes—
72#2737C2214yes—
73#2737C2214yes—
74#2734C2214yes—
75#2719C2214yes—
76#2716C2214yes—
77#2716C2214yes—
78#2704C2214yes—
79#2690C2214yes—
80#2690C2214yes—
81#2690C2214yes—
82#2689C2214yes—
83#2689C2214yes—
84#2683C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2660C2212yes—
89#2655C2214yes—
90#2654C2214yes—
91#2654C2214yes—
92#2654C2214yes—
93#2651C2214yes—
94#2650C2214yes—
95#2650C2214yes—
96#2650C2214yes—
97#2647C2212yes—
98#2645C2212yes—
99#2645C2212yes—
100#2642C2212yes—
101#2640C2212yes—
102#2640C2212yes—
103#2629C2212yes—
104#2628C2214yes—
105#2628C2212yes—
106#2625C2214yes—
107#2621C2212yes—
108#2597C2212yes—
109#2596C2212yes—
110#2595C2212yes—
111#2595C2214yes—
112#2594C2214yes—
113#2594C2214yes—
114#2594C2212yes—
115#2590C2214yes—
116#2588C2214yes—
117#2588C2214yes—
118#2588C2214yes—
119#2587C2214yes—
120#2586C2214yes—
121#2586C2214yes—
122#2585C2214yes—
123#2584C2212yes—
124#2582C2211yescharacteristic
125#2581C2212yes—
126#2577C2214yes—
127#2574C2214yes—
128#2571C2212yes—
129#2571C2212yes—
130#2570C2212yes—
131#2568C2211yescharacteristic
132#2568C2212yes—
133#2567C2211yescharacteristic
134#2567C2211yescharacteristic
135#2567C2212yes—
136#2565C2212yes—
137#2563C2212yes—
138#2552C2211yescharacteristic
139#2551C2211yescharacteristic
140#2551C2212yes—
141#2551C2212yes—
142#2550C2212yes—
143#2550C2212yes—
144#2547C2211yescharacteristic
145#2547C2212yes—
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2538C2212yes—
149#2533C2214yes—
150#2532C2214yes—
151#2531C2214yes—
152#2528C2214yes—
153#2525C2214yes—
154#2525C2214yes—
155#2520C2214yes—
156#2514C2212yes—
157#2514C2212yes—
158#2514C2212yes—
159#2513C2214yes—
160#2513C2211yescharacteristic
161#2512C2212yes—
162#2511C2212yes—
163#2511C2212yes—
164#2511C2212yes—
165#2509C2212yes—
166#2509C2211yescharacteristic
167#2509C2214yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2212yes—
171#2499C2212yes—
172#2496C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2495C2212yes—
176#2495C2212yes—
177#2494C2214yes—
178#2494C2212yes—
179#2494C2211yescharacteristic
180#2492C2212yes—
181#2492C2212yes—
182#2492C2214yes—
183#2492C2212yes—
184#2492C2212yes—
185#2490C2211yescharacteristic
186#2489C2212yes—
187#2489C2212yes—
188#2485C2212yes—
189#2479C2214yes—
190#2478C2214yes—
191#2469C2214yes—
192#2469C2214yes—
193#2465C2214yes—
194#2453C2212yes—
195#2453C2211yescharacteristic
196#2453C2212yes—
197#2451C2212yes—
198#2451C2212yes—
199#2451C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2448C2211yescharacteristic
203#2448C2212yes—
204#2446C2212yes—
205#2446C2214yes—
206#2442C2212yes—
207#2442C2212yes—
208#2440C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2429C2212yes—
212#2426C2212yes—
213#2426C2211yescharacteristic
214#2423C2212yes—
215#2423C2212yes—
216#2423C2212yes—
217#2421C2212yes—
218#2421C2212yes—
219#2421C2212yes—
220#2421C2211yescharacteristic
221#2417C2212yes—
222#2401C2212yes—
223#2399C2214yes—
224#2395C2212yes—
225#2370C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2362C2214yes—
232#2362C2212yes—
233#2357C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2212yes—
237#2354C2211yescharacteristic
238#2351C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240#2344C2212yes—
241#2336C2212yes—
242#2336C2212yes—
243#2332C2212yes—
244#2332C2214yes—
245#2332C2212yes—
246#2331C2211yescharacteristic
247#2331C2211yescharacteristic
248#2331C2212yes—
249#2331C2212yes—
250#2330C2212yes—
251#2330C2212yes—
252#2327C2211yescharacteristic
253#2327C2211yescharacteristic
254#2326C2212yes—
255#2324C2212yes—
256#2323C2212yes—
257#2323C2211yescharacteristic
258#2323C2211yescharacteristic
259#2323C2211yescharacteristic
260#2323C2211yescharacteristic
261#2323C2212yes—
262#2323C2212yes—
263#2320C2212yes—
264#2320C2212yes—
265#2314C2212yes—
266#2314C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×#125C2212yes—
273C4×#125C2214yes—
274C4×#125C2212yes—
275C4×#125C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2298C2212yes—
280#2298C2212yes—
281#2298C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yes—
291#2283C2211yescharacteristic
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×Q8C2212yes—
298C4×#117C2211yescharacteristic
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×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2314yes—
360C22×C4⋊C4C2312yes—
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2312yes—
396#399C2314yes—
397#399C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
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#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2312yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#386C2314yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2312yes—
704#383C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2311yescharacteristic
709#382C2314yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2314yes—
717#382C2314yes—
718#382C2311yescharacteristic
719#381C2312yes—
720#381C2314yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2311yescharacteristic
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2314yes—
807C43C2312yes—
808C43C2312yes—
809C43C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2411yescharacteristic
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—28no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—84no—
838C4⋊Q8—82no—
839#126—84no—
840#126—84no—
841#125—28no—
842#125—28no—
843#125—216no—
844#125—24no—
845#125—28no—
846#125—44no—
847#124—44no—
848#124—42no—
849C22⋊Q8—24no—
850C22⋊Q8—28no—
851C22⋊Q8—24no—
852C22⋊Q8—28no—
853C22⋊Q8—216no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8—84no—
858C22⋊Q8—82no—
859#121—24no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—42no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—82no—
875C4×Q8—84no—
876C4×Q8#4118yes—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—44no—
880#117—28no—
881#117—24no—
882#117—28no—
883#117—42no—
884#117—44no—
885#117—84no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—24no—
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
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—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8C2×#4114yes—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—28no—
1179C22×C4—44no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—44no—
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C4⋊C4—28no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4C2×#4114yes—
1294C4⋊C4C2×#4118yes—
1295C4⋊C42−1+414yes—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—22no—
1301C22⋊C4—24no—
1302C22⋊C4—22no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—24no—
1332C42—28no—
1333C42—24no—
1334C42—22no—
1335C42—24no—
1336C42—22no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—28no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—24no—
1348C42—22no—
1349C42—41no—
1350C42—42no—
1351C42—42no—
1352C42—41no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C42—42no—
1357C42—44no—
1358C42—44no—
1359C42—42no—
1360C42—44no—
1361C42—42no—
1362C42—42no—
1363C42—41no—
1364C42—42no—
1365C42—44no—
1366C42—42no—
1367C42—44no—
1368C42—41no—
1369C42C2×#4114yes—
1370C42C2×#4118yes—
1371C422−1+414yes—
1372C23—21no—
1373C23—22no—
1374C23—21no—
1375C23—22no—
1376C23—22no—
1377C23—21no—
1378C23—21no—
1379C23—22no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—21no—
1386C23C2611yescharacteristic
1387Q8—28no—
1388Q8—44no—
1389Q8—44no—
1390Q8—48no—
1391Q8—84no—
1392Q8—84no—
1393Q8—88no—
1394Q8—164no—
1395D4—44no—
1396D4—84no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—48no—
1486C2×C4—44no—
1487C2×C4—88no—
1488C2×C4—82no—
1489C2×C4C22×#4114yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4112yes—
1493C2×C4C22×#4112yes—
1494C2×C4C2×2−1+414yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4#58512yes—
1500C2×C4#58512yes—
1501C22—41no—
1502C22—42no—
1503C22—42no—
1504C22—41no—
1505C22—41no—
1506C22—42no—
1507C22—42no—
1508C22—41no—
1509C22—41no—
1510C22—42no—
1511C22—41no—
1512C22—42no—
1513C22—41no—
1514C22—42no—
1515C22C23×#4111yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C22×2−1+411yescharacteristic
1518C22C2×#58511yescharacteristic
1519C22C2×#58511yescharacteristic
1520C22H(7,𝔽2)11yescharacteristic
1521C222−1+611yescharacteristic
1522C4—24no—
1523C4—22no—
1524C4—24no—
1525C4—22no—
1526C4—24no—
1527C4—22no—
1528C4—41no—
1529C4—44no—
1530C4—42no—
1531C4—42no—
1532C4—44no—
1533C4—41no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—44no—
1552C4—41no—
1553C4#346114yes—
1554C4#351814yes—
1555C2—81no—
1556C2—82no—
1557C2C2×#346111yescharacteristic
1558C2C2×#351811yescharacteristic
1559C2#6285711yescharacteristic
1560C2#6294311yescharacteristic
1561C2#6295011yescharacteristic
1562C2#6295611yescharacteristic
1563C2#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. #42901C2semidirect
2. #42896C2semidirect
3. #42640C2semidirect
4. #42573C2semidirect
5. #41357C2semidirect
6. #41225C2semidirect
7. #39800C2semidirect
8. #39761C2semidirect
9. #39724C2semidirect
10. #39625C2semidirect
12. #39294C2semidirect
13. #39173C2semidirect
14. #39157C2semidirect
15. #38986C2semidirect
18. #38243C2semidirect
19. #37631C2semidirect
20. #37598C2semidirect
21. #37180C2semidirect
22. #37153C2semidirect
23. #35652C2semidirect
24. #35577C2semidirect
25. #35283C2semidirect
26. #35221C2semidirect
27. #35217C2semidirect
29. #35185C2semidirect
30. #35184C2semidirect
31. #34950C2semidirect
33. #34317C2semidirect
34. C4×#557C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#429012
#428962
#426402
#425732
#413572
#412252
#398002
#397612
#397242
#396252
#395982
#392942
#391732
#391572
#389862
#389402
#382912
#382432
#376312
#375982
#371802
#371532
#356522
#355772
#352832
#352212
#352172
#352162
#351852
#351842
#349502
#349152
#343172
C4×#5572
#340852