Finite Group Databasebeta

← #7673910

Subgroups — #7673910

Order 512.

4474 conjugacy classes of subgroups.

The subgroup lattice has 1581 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45341C212yesmaximal, complemented
2#45295C212yesmaximal, complemented
3#45219C212yesmaximal, complemented
4#45199C212yesmaximal, complemented
5#45183C212yesmaximal, complemented
6#45174C212yesmaximal, complemented
7#45014C212yesmaximal, complemented
8#45001C212yesmaximal, complemented
9#39291C214yesmaximal, complemented
10#39288C214yesmaximal, complemented
11#39155C214yesmaximal, complemented
12#39151C214yesmaximal, complemented
13#38986C212yesmaximal, complemented
14#38984C212yesmaximal, complemented
15#38981C212yesmaximal, complemented
16#38980C212yesmaximal, complemented
17#38243C212yesmaximal, complemented
18#38240C212yesmaximal, complemented
19#38239C212yesmaximal, complemented
20#38236C212yesmaximal, complemented
21#35630C211yesmaximal, characteristic, complemented
22#35628C211yesmaximal, characteristic
23#35575C211yesmaximal, characteristic
24#35566C211yesmaximal, characteristic, complemented
25#35313C211yesmaximal, characteristic, complemented
26#35312C211yesmaximal, characteristic
27#35160C211yesmaximal, characteristic
28#35154C211yesmaximal, characteristic, complemented
29#34639C211yesmaximal, characteristic
30#34272C211yesmaximal, characteristic, complemented
31#34271C211yesmaximal, characteristic, complemented
32#34266C211yesmaximal, characteristic
33#34253C211yesmaximal, characteristic
34#34074C211yesmaximal, characteristic, complemented
35C2×#2320C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C22×C4×Q8C2211yescharacteristic
42#2863C2212yes—
43#2863C2212yes—
44#2862C2212yes—
45#2861C2212yes—
46#2855C2214yes—
47#2852C2214yes—
48#2810C2214yes—
49#2805C2214yes—
50#2798C2214yes—
51#2793C2214yes—
52#2789C2214yes—
53#2789C2214yes—
54#2789C2214yes—
55#2788C2214yes—
56#2787C2214yes—
57#2783C2214yes—
58#2783C2214yes—
59#2777C2214yes—
60#2777C2214yes—
61#2776C2214yes—
62#2776C2214yes—
63#2775C2214yes—
64#2775C2214yes—
65#2767C2214yes—
66#2767C2214yes—
67#2767C2214yes—
68#2762C2214yes—
69#2762C2214yes—
70#2762C2214yes—
71#2759C2214yes—
72#2759C2214yes—
73#2759C2214yes—
74#2758C2214yes—
75#2758C2214yes—
76#2758C2214yes—
77#2745C2214yes—
78#2716C2214yes—
79#2689C2214yes—
80#2645C2212yes—
81#2645C2212yes—
82#2645C2211yescharacteristic
83#2645C2211yescharacteristic
84#2645C2211yescharacteristic
85#2645C2211yescharacteristic
86#2644C2211yescharacteristic
87#2644C2211yescharacteristic
88#2644C2211yescharacteristic
89#2644C2211yescharacteristic
90#2643C2212yes—
91#2643C2212yes—
92#2643C2212yes—
93#2643C2212yes—
94#2643C2214yes—
95#2642C2212yes—
96#2640C2212yes—
97#2627C2214yes—
98#2605C2214yes—
99#2599C2214yes—
100#2596C2214yes—
101#2594C2214yes—
102#2592C2212yes—
103#2592C2212yes—
104#2588C2214yes—
105#2584C2212yes—
106#2584C2212yes—
107#2581C2214yes—
108#2577C2214yes—
109#2573C2214yes—
110#2573C2214yes—
111#2571C2214yes—
112#2570C2214yes—
113#2568C2212yes—
114#2568C2212yes—
115#2568C2214yes—
116#2567C2212yes—
117#2564C2214yes—
118#2552C2212yes—
119#2551C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2549C2214yes—
123#2546C2212yes—
124#2533C2214yes—
125#2533C2214yes—
126#2528C2214yes—
127#2525C2214yes—
128#2524C2214yes—
129#2523C2214yes—
130#2523C2214yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2212yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2214yes—
137#2514C2212yes—
138#2514C2214yes—
139#2514C2214yes—
140#2514C2214yes—
141#2514C2212yes—
142#2513C2212yes—
143#2512C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2511C2212yes—
147#2511C2212yes—
148#2511C2212yes—
149#2511C2212yes—
150#2511C2212yes—
151#2509C2214yes—
152#2499C2214yes—
153#2497C2212yes—
154#2496C2212yes—
155#2495C2212yes—
156#2494C2212yes—
157#2494C2214yes—
158#2493C2214yes—
159#2493C2214yes—
160#2493C2214yes—
161#2493C2214yes—
162#2492C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2492C2212yes—
166#2489C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2488C2214yes—
171#2488C2214yes—
172#2488C2214yes—
173#2488C2214yes—
174#2478C2214yes—
175#2469C2214yes—
176#2465C2214yes—
177#2454C2212yes—
178#2453C2212yes—
179#2453C2212yes—
180#2453C2212yes—
181#2453C2212yes—
182#2453C2212yes—
183#2452C2212yes—
184#2451C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2212yes—
189#2446C2214yes—
190#2442C2212yes—
191#2441C2212yes—
192#2440C2212yes—
193#2440C2214yes—
194#2439C2214yes—
195#2439C2212yes—
196#2421C2214yes—
197#2417C2214yes—
198#2401C2212yes—
199#2401C2212yes—
200#2401C2212yes—
201#2401C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2369C2212yes—
209#2369C2212yes—
210#2369C2212yes—
211#2368C2214yes—
212#2367C2212yes—
213#2367C2212yes—
214#2365C2212yes—
215#2365C2212yes—
216#2365C2212yes—
217#2365C2212yes—
218#2365C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2360C2212yes—
222#2360C2212yes—
223#2360C2214yes—
224#2353C2214yes—
225#2352C2214yes—
226#2347C2212yes—
227#2346C2212yes—
228#2345C2212yes—
229#2344C2212yes—
230#2331C2211yescharacteristic
231#2331C2211yescharacteristic
232#2331C2211yescharacteristic
233#2331C2211yescharacteristic
234#2331C2212yes—
235#2330C2211yescharacteristic
236#2330C2211yescharacteristic
237#2330C2211yescharacteristic
238#2330C2211yescharacteristic
239#2330C2212yes—
240#2329C2212yes—
241#2329C2212yes—
242#2329C2212yes—
243#2329C2212yes—
244#2329C2214yes—
245#2322C2214yes—
246#2320C2212yes—
247#2320C2212yes—
248#2320C2212yes—
249#2320C2212yes—
250#2320C2212yes—
251#2320C2212yes—
252#2320C2212yes—
253#2320C2212yes—
254#2320C2212yes—
255#2319C2212yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2310C2211yescharacteristic
263#2310C2211yescharacteristic
264#2310C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×C22⋊Q8C2214yes—
268C4×#123C2214yes—
269#2297C2211yescharacteristic
270#2297C2211yescharacteristic
271#2297C2211yescharacteristic
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2295C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282C2×#391C2211yescharacteristic
283C2×#391C2211yescharacteristic
284#2293C2212yes—
285C2×#389C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#387C2212yes—
288C2×#387C2212yes—
289#2285C2211yescharacteristic
290C2×#383C2212yes—
291C2×#382C2212yes—
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#544—28no—
302#544—28no—
303#536—28no—
304#533—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329#520—28no—
330C2×C4×Q8—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2314yes—
339C2×C4×Q8C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2314yes—
350C2×#117C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C42C2312yes—
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2312yes—
363#401C2314yes—
364#401C2312yes—
365#401C2312yes—
366#401C2312yes—
367#401C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2311yescharacteristic
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#384C2312yes—
690#384C2314yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792#376C2312yes—
793#376C2311yescharacteristic
794#376C2311yescharacteristic
795#376C2311yescharacteristic
796#376C2311yescharacteristic
797#376C2311yescharacteristic
798#376C2311yescharacteristic
799#376C2311yescharacteristic
800#376C2311yescharacteristic
801#376C2312yes—
802#376C2314yes—
803C2×#95C2312yes—
804C2×#95C2311yescharacteristic
805C2×#95C2311yescharacteristic
806C2×#95C2311yescharacteristic
807C2×#95C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8—24no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—28no—
850C4⋊Q8—28no—
851C4⋊Q8—84no—
852#126—84no—
853#125—24no—
854#125—24no—
855#125—28no—
856#125—28no—
857#125—28no—
858#125—28no—
859#124—28no—
860#123—216no—
861C22⋊Q8—216no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—84no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—84no—
876C4×Q8—84no—
877C4×D4—216no—
878C4×D4—28no—
879#117—24no—
880#117—24no—
881#117—24no—
882#117—24no—
883#117—24no—
884#117—24no—
885#117—28no—
886#117—84no—
887#117#4118yes—
888C2×C4⋊C4—28no—
889C2×C4⋊C4—24no—
890C2×C4⋊C4—24no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—82no—
893C2×C4⋊C4—82no—
894C2×C4⋊C4#4118yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C42—24no—
995C2×C42—28no—
996C2×C42—24no—
997C2×C42—24no—
998C2×C42—82no—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143#41—416no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—28no—
1153C2×Q8—28no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—42no—
1164C2×Q8—44no—
1165C2×Q8—416no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—42no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4C2×#4118yes—
1208C22×C4C2×#4114yes—
1209C22×C4C2×#4114yes—
1210C22×C42−1+414yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C4⋊C4—22no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4C2×#4118yes—
1314C4⋊C4C2×#4118yes—
1315C4⋊C4C2×#4114yes—
1316C4⋊C4C2×#4114yes—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4C2×#4118yes—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—28no—
1348C42—28no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—28no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—42no—
1369C42—44no—
1370C42—42no—
1371C42—44no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—44no—
1380C42C2×#4118yes—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23C22×#4112yes—
1393C23C22×#4112yes—
1394C23C2×2−1+412yes—
1395C23C2611yescharacteristic
1396Q8—48no—
1397Q8—48no—
1398Q8—44no—
1399Q8—88no—
1400Q8—88no—
1401Q8—84no—
1402Q8—84no—
1403D4—48no—
1404D4—44no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—21no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
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—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—48no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—48no—
1499C2×C4—48no—
1500C2×C4—88no—
1501C2×C4—82no—
1502C2×C4—84no—
1503C2×C4—82no—
1504C2×C4—82no—
1505C2×C4—84no—
1506C2×C4—82no—
1507C2×C4#556116yes—
1508C2×C4C22×#4118yes—
1509C2×C4C22×#4114yes—
1510C2×C4C22×#4114yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4112yes—
1513C2×C4C22×#4112yes—
1514C2×C4C22×#4112yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22C2×#55614yes—
1531C22C23×#4111yescharacteristic
1532C22C23×#4111yescharacteristic
1533C22C22×2−1+411yescharacteristic
1534C22H(7,𝔽2)11yescharacteristic
1535C222−1+611yescharacteristic
1536C222−1+611yescharacteristic
1537C222−1+611yescharacteristic
1538C4—28no—
1539C4—24no—
1540C4—24no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—44no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4—41no—
1563C4—44no—
1564C4—42no—
1565C4—41no—
1566C4—41no—
1567C4—42no—
1568C4—44no—
1569C4C2×#55614yes—
1570C4C2×#55614yes—
1571C2—24no—
1572C2—82no—
1573C2C22×#55611yescharacteristic
1574C2#6284711yescharacteristic
1575C2#6285011yescharacteristic
1576C2#6285711yescharacteristic
1577C2#6286111yescharacteristic
1578C2#6287911yescharacteristic
1579C2#6288911yescharacteristic
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. #45341C2semidirect
2. #45295C2semidirect
3. #45219C2semidirect
4. #45199C2semidirect
5. #45183C2semidirect
6. #45174C2semidirect
7. #45014C2semidirect
8. #45001C2semidirect
9. #39291C2semidirect
10. #39288C2semidirect
11. #39155C2semidirect
12. #39151C2semidirect
13. #38986C2semidirect
14. #38984C2semidirect
15. #38981C2semidirect
16. #38980C2semidirect
17. #38243C2semidirect
18. #38240C2semidirect
19. #38239C2semidirect
20. #38236C2semidirect
21. #35630C2semidirect
24. #35566C2semidirect
25. #35313C2semidirect
28. #35154C2semidirect
30. #34272C2semidirect
31. #34271C2semidirect
34. #34074C2semidirect
35. C2×#2320C2semidirect

Maximal subgroups

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

subgroupindex
#453412
#452952
#452192
#451992
#451832
#451742
#450142
#450012
#392912
#392882
#391552
#391512
#389862
#389842
#389812
#389802
#382432
#382402
#382392
#382362
#356302
#356282
#355752
#355662
#353132
#353122
#351602
#351542
#346392
#342722
#342712
#342662
#342532
#340742
C2×#23202