Finite Group Databasebeta

← #7647107

Subgroups — #7647107

Order 512.

4239 conjugacy classes of subgroups.

The subgroup lattice has 1571 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42774C212yesmaximal, complemented
2#42770C212yesmaximal, complemented
3#42639C212yesmaximal, complemented
4#42572C212yesmaximal
5#41355C214yesmaximal, complemented
6#41223C214yesmaximal, complemented
7#39643C211yesmaximal, characteristic, complemented
8#39609C211yesmaximal, characteristic, complemented
9#39544C212yesmaximal, complemented
10#39490C211yesmaximal, characteristic, complemented
11#39480C211yesmaximal, characteristic, complemented
12#39078C212yesmaximal, complemented
13#38976C211yesmaximal, characteristic, complemented
14#38964C211yesmaximal, characteristic, complemented
15#38923C211yesmaximal, characteristic
16#38921C211yesmaximal, characteristic
17#38265C212yesmaximal, complemented
18#38217C212yesmaximal, complemented
19#37526C212yesmaximal, complemented
20#37503C212yesmaximal, complemented
21#37076C214yesmaximal, complemented
22#37064C214yesmaximal, complemented
23#35632C212yesmaximal, complemented
24#35595C212yesmaximal
25#35291C211yesmaximal, characteristic, complemented
26#35265C212yesmaximal, complemented
27#35208C212yesmaximal, complemented
28#35204C212yesmaximal, complemented
29#35187C211yesmaximal, characteristic, complemented
30#35162C212yesmaximal, complemented
31#34950C211yesmaximal, characteristic, complemented
32#34916C211yesmaximal, characteristic, complemented
33#34332C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2865C2214yes—
40#2864C2212yes—
41#2864C2214yes—
42#2863C2212yes—
43#2863C2214yes—
44#2862C2211yescharacteristic
45#2859C2211yescharacteristic
46#2859C2214yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2839C2214yes—
50#2838C2214yes—
51#2835C2214yes—
52#2834C2214yes—
53#2799C2214yes—
54#2794C2214yes—
55#2793C2214yes—
56#2787C2214yes—
57#2776C2214yes—
58#2775C2214yes—
59#2774C2214yes—
60#2770C2214yes—
61#2769C2214yes—
62#2766C2214yes—
63#2766C2214yes—
64#2763C2214yes—
65#2762C2214yes—
66#2762C2214yes—
67#2758C2214yes—
68#2757C2214yes—
69#2755C2214yes—
70#2745C2214yes—
71#2745C2214yes—
72#2742C2214yes—
73#2739C2214yes—
74#2722C2214yes—
75#2720C2214yes—
76#2719C2214yes—
77#2698C2214yes—
78#2695C2214yes—
79#2694C2214yes—
80#2690C2214yes—
81#2690C2214yes—
82#2689C2214yes—
83#2689C2214yes—
84#2680C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2655C2214yes—
89#2655C2214yes—
90#2655C2214yes—
91#2654C2214yes—
92#2653C2214yes—
93#2652C2214yes—
94#2647C2214yes—
95#2647C2214yes—
96#2647C2212yes—
97#2645C2212yes—
98#2645C2212yes—
99#2628C2212yes—
100#2628C2212yes—
101#2627C2214yes—
102#2625C2212yes—
103#2625C2212yes—
104#2625C2212yes—
105#2625C2212yes—
106#2623C2214yes—
107#2621C2212yes—
108#2596C2214yes—
109#2595C2214yes—
110#2590C2212yes—
111#2590C2214yes—
112#2589C2212yes—
113#2588C2212yes—
114#2587C2212yes—
115#2586C2214yes—
116#2582C2211yescharacteristic
117#2582C2211yescharacteristic
118#2582C2212yes—
119#2580C2212yes—
120#2577C2214yes—
121#2575C2214yes—
122#2573C2214yes—
123#2571C2211yescharacteristic
124#2570C2212yes—
125#2568C2212yes—
126#2568C2211yescharacteristic
127#2567C2211yescharacteristic
128#2567C2212yes—
129#2567C2211yescharacteristic
130#2567C2212yes—
131#2552C2212yes—
132#2551C2211yescharacteristic
133#2547C2212yes—
134#2546C2211yescharacteristic
135#2532C2214yes—
136#2530C2214yes—
137#2529C2214yes—
138#2528C2214yes—
139#2528C2214yes—
140#2527C2214yes—
141#2524C2214yes—
142#2523C2214yes—
143#2523C2214yes—
144#2518C2214yes—
145#2517C2214yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2212yes—
150#2514C2212yes—
151#2511C2214yes—
152#2511C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2511C2211yescharacteristic
156#2509C2212yes—
157#2509C2212yes—
158#2509C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2508C2212yes—
164#2507C2212yes—
165#2507C2214yes—
166#2507C2212yes—
167#2507C2211yescharacteristic
168#2506C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2505C2214yes—
173#2505C2214yes—
174#2503C2212yes—
175#2499C2212yes—
176#2497C2211yescharacteristic
177#2495C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2493C2214yes—
182#2492C2212yes—
183#2492C2211yescharacteristic
184#2489C2212yes—
185#2489C2212yes—
186#2488C2214yes—
187#2486C2212yes—
188#2485C2212yes—
189#2473C2214yes—
190#2473C2214yes—
191#2462C2214yes—
192#2462C2214yes—
193#2458C2214yes—
194#2453C2212yes—
195#2453C2212yes—
196#2453C2212yes—
197#2453C2212yes—
198#2452C2212yes—
199#2451C2212yes—
200#2451C2211yescharacteristic
201#2451C2212yes—
202#2451C2212yes—
203#2447C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2446C2211yescharacteristic
209#2446C2212yes—
210#2440C2212yes—
211#2439C2212yes—
212#2429C2212yes—
213#2429C2211yescharacteristic
214#2427C2212yes—
215#2423C2212yes—
216#2423C2211yescharacteristic
217#2422C2212yes—
218#2421C2212yes—
219#2421C2214yes—
220#2417C2212yes—
221#2415C2212yes—
222#2402C2212yes—
223#2399C2214yes—
224#2396C2212yes—
225#2373C2214yes—
226#2370C2212yes—
227#2369C2211yescharacteristic
228#2367C2212yes—
229#2365C2211yescharacteristic
230#2362C2212yes—
231#2360C2214yes—
232#2360C2212yes—
233#2356C2212yes—
234#2355C2211yescharacteristic
235#2354C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239#2347C2212yes—
240#2345C2212yes—
241#2335C2212yes—
242#2335C2212yes—
243#2334C2212yes—
244#2334C2212yes—
245#2331C2212yes—
246#2330C2211yescharacteristic
247#2330C2212yes—
248#2330C2211yescharacteristic
249#2329C2214yes—
250#2327C2212yes—
251#2326C2211yescharacteristic
252#2326C2211yescharacteristic
253#2324C2211yescharacteristic
254#2324C2211yescharacteristic
255#2323C2212yes—
256#2323C2211yescharacteristic
257#2323C2211yescharacteristic
258#2323C2212yes—
259#2320C2212yes—
260#2320C2212yes—
261#2320C2212yes—
262#2317C2212yes—
263#2317C2212yes—
264#2317C2212yes—
265#2316C2212yes—
266#2314C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2212yes—
273C4×#126C2214yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279#2298C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289C2×#389C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2275C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299#556—28no—
300#554—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308#529—28no—
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×#121C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2314yes—
360C22×C42C2311yescharacteristic
361C22×C42C2312yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2314yes—
403#398C2314yes—
404#398C2312yes—
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#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2312yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2314yes—
503#391C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
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#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2314yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2314yes—
806#376C2314yes—
807C2×#95C2314yes—
808C43C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2412yes—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—42no—
836C4⋊Q8—44no—
837#126—28no—
838#126—216no—
839#125—24no—
840#125—28no—
841#125—84no—
842#125—84no—
843#125—82no—
844#124—24no—
845#124—28no—
846#123—28no—
847#123—84no—
848C22⋊Q8—28no—
849C22⋊Q8—28no—
850C22⋊Q8—24no—
851C22⋊Q8—24no—
852C22⋊Q8—216no—
853C22⋊Q8—42no—
854C22⋊Q8—44no—
855C22⋊Q8—84no—
856C22⋊Q8—82no—
857#121—24no—
858C4×Q8—28no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×Q8—82no—
871C4×Q8—84no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—24no—
875C4×D4—42no—
876C4×D4—44no—
877C4×D4#4118yes—
878#117—28no—
879#117—28no—
880#117—28no—
881#117—24no—
882#117—44no—
883#117—44no—
884#117—42no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—84no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C42—24no—
1002C2×C42—44no—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
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#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
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—22no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4C2×#4114yes—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—28no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—41no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4C2×#4118yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2514yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—28no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4C2×#4114yes—
1305C4⋊C42−1+414yes—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—22no—
1314C22⋊C4—28no—
1315C22⋊C4—22no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—41no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—41no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4C2×#4118yes—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—28no—
1340C42—24no—
1341C42—24no—
1342C42—28no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—24no—
1357C42—42no—
1358C42—42no—
1359C42—41no—
1360C42—42no—
1361C42—41no—
1362C42—42no—
1363C42—44no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—41no—
1369C42—42no—
1370C42—44no—
1371C42—42no—
1372C42—41no—
1373C42—44no—
1374C42C2×#4114yes—
1375C422−1+414yes—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23C22×#4114yes—
1390C23C2611yescharacteristic
1391Q8—44no—
1392Q8—48no—
1393Q8—44no—
1394Q8—44no—
1395Q8—84no—
1396Q8—84no—
1397Q8—88no—
1398D4—28no—
1399D4—84no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—216no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—21no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—24no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—82no—
1492C2×C4—84no—
1493C2×C4—88no—
1494C2×C4—84no—
1495C2×C4—164no—
1496C2×C4C22×#4114yes—
1497C2×C4C22×#4112yes—
1498C2×C4C22×#4112yes—
1499C2×C4C22×#4112yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4C2×2−1+414yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4#58512yes—
1506C2×C4#58512yes—
1507C22—24no—
1508C22—24no—
1509C22—24no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22C23×#4111yescharacteristic
1522C22C22×2−1+411yescharacteristic
1523C22C22×2−1+411yescharacteristic
1524C22C2×#58511yescharacteristic
1525C22C2×#58511yescharacteristic
1526C22H(7,𝔽2)11yescharacteristic
1527C222−1+611yescharacteristic
1528C4—24no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—24no—
1533C4—41no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—41no—
1538C4—42no—
1539C4—44no—
1540C4—42no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—41no—
1545C4—42no—
1546C4—44no—
1547C4—41no—
1548C4—42no—
1549C4—41no—
1550C4—42no—
1551C4—44no—
1552C4—42no—
1553C4—42no—
1554C4—44no—
1555C4—41no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4#346114yes—
1560C4#351514yes—
1561C2—44no—
1562C2—81no—
1563C2C2×#346111yescharacteristic
1564C2C2×#351511yescharacteristic
1565C2#6285711yescharacteristic
1566C2#6293211yescharacteristic
1567C2#6293811yescharacteristic
1568C2#6294311yescharacteristic
1569C2#6295011yescharacteristic
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. #42774C2semidirect
2. #42770C2semidirect
3. #42639C2semidirect
5. #41355C2semidirect
6. #41223C2semidirect
7. #39643C2semidirect
8. #39609C2semidirect
9. #39544C2semidirect
10. #39490C2semidirect
11. #39480C2semidirect
12. #39078C2semidirect
13. #38976C2semidirect
14. #38964C2semidirect
17. #38265C2semidirect
18. #38217C2semidirect
19. #37526C2semidirect
20. #37503C2semidirect
21. #37076C2semidirect
22. #37064C2semidirect
23. #35632C2semidirect
25. #35291C2semidirect
26. #35265C2semidirect
27. #35208C2semidirect
28. #35204C2semidirect
29. #35187C2semidirect
30. #35162C2semidirect
31. #34950C2semidirect
32. #34916C2semidirect
33. #34332C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#427742
#427702
#426392
#425722
#413552
#412232
#396432
#396092
#395442
#394902
#394802
#390782
#389762
#389642
#389232
#389212
#382652
#382172
#375262
#375032
#370762
#370642
#356322
#355952
#352912
#352652
#352082
#352042
#351872
#351622
#349502
#349162
#343322
C4×#5562
#340842