Finite Group Databasebeta

← #8402609

Subgroups — #8402609

Order 512.

5217 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59128C212yesmaximal, complemented
2#59125C212yesmaximal, complemented
3#55277C214yesmaximal, complemented
4#55179C214yesmaximal, complemented
5#50740C214yesmaximal, complemented
6#49248C214yesmaximal, complemented
7#48486C214yesmaximal, complemented
8#48476C214yesmaximal, complemented
9#45632C212yesmaximal, complemented
10#45497C212yesmaximal, complemented
11#45349C211yesmaximal, characteristic, complemented
12#45267C211yesmaximal, characteristic, complemented
13#45267C211yesmaximal, characteristic, complemented
14#45221C211yesmaximal, characteristic, complemented
15#43412C214yesmaximal, complemented
16#43127C214yesmaximal, complemented
17#42788C211yesmaximal, characteristic, complemented
18#42648C211yesmaximal, characteristic, complemented
19#40076C212yesmaximal, complemented
20#39864C212yesmaximal, complemented
21#39721C212yesmaximal, complemented
22#39659C212yesmaximal, complemented
23#37395C211yesmaximal, characteristic, complemented
24#36509C211yesmaximal, characteristic, complemented
25#36498C211yesmaximal, characteristic, complemented
26#36127C211yesmaximal, characteristic, complemented
27D4×C4⋊Q8C211yesmaximal, characteristic, complemented
28#36020C211yesmaximal, characteristic, complemented
29#35737C211yesmaximal, characteristic, complemented
30#35535C211yesmaximal, characteristic, complemented
31#34967C211yesmaximal, characteristic, complemented
32C2×D4×Q8C2211yescharacteristic
33C2×D4×Q8C2211yescharacteristic
34C2×#548C2212yes—
35C2×#548C2212yes—
36C2×#548C2212yes—
37C2×#547C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#547C2212yes—
40C2×#542C2211yescharacteristic
41C2×#532C2212yes—
42C22×C4⋊Q8C2212yes—
43C2×#520C2211yescharacteristic
44#2868C2211yescharacteristic
45#2864C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2855C2212yes—
49#2854C2212yes—
50#2841C2214yes—
51#2837C2214yes—
52#2821C2212yes—
53#2816C2212yes—
54#2807C2214yes—
55#2805C2214yes—
56#2793C2214yes—
57#2793C2214yes—
58#2792C2214yes—
59#2791C2214yes—
60#2791C2214yes—
61#2790C2214yes—
62#2788C2214yes—
63#2788C2214yes—
64#2784C2214yes—
65#2784C2214yes—
66#2780C2214yes—
67#2780C2214yes—
68#2772C2214yes—
69#2771C2214yes—
70#2770C2214yes—
71#2748C2214yes—
72#2747C2214yes—
73#2743C2214yes—
74#2742C2214yes—
75#2739C2214yes—
76#2731C2214yes—
77#2731C2214yes—
78#2729C2214yes—
79#2729C2214yes—
80#2718C2214yes—
81#2710C2214yes—
82#2705C2214yes—
83#2705C2214yes—
84#2703C2214yes—
85#2702C2214yes—
86#2696C2214yes—
87#2696C2214yes—
88#2693C2214yes—
89#2692C2214yes—
90#2688C2214yes—
91#2686C2214yes—
92#2686C2214yes—
93#2676C2214yes—
94#2676C2214yes—
95#2675C2214yes—
96#2674C2214yes—
97#2674C2214yes—
98#2674C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2665C2214yes—
103#2661C2212yes—
104#2649C2214yes—
105#2640C2212yes—
106#2638C2214yes—
107#2631C2212yes—
108#2623C2212yes—
109#2621C2211yescharacteristic
110#2621C2211yescharacteristic
111#2621C2212yes—
112#2618C2214yes—
113#2618C2212yes—
114#2603C2212yes—
115#2600C2214yes—
116#2597C2214yes—
117#2596C2214yes—
118#2591C2214yes—
119#2590C2214yes—
120#2587C2214yes—
121#2586C2214yes—
122#2579C2214yes—
123#2569C2214yes—
124#2567C2211yescharacteristic
125#2564C2214yes—
126#2555C2214yes—
127#2551C2214yes—
128#2547C2211yescharacteristic
129#2547C2211yescharacteristic
130#2547C2212yes—
131#2547C2212yes—
132#2546C2211yescharacteristic
133#2546C2211yescharacteristic
134#2545C2212yes—
135#2545C2211yescharacteristic
136#2544C2211yescharacteristic
137#2543C2212yes—
138#2542C2211yescharacteristic
139#2542C2212yes—
140#2540C2212yes—
141#2538C2212yes—
142#2538C2212yes—
143#2537C2214yes—
144#2536C2211yescharacteristic
145#2536C2211yescharacteristic
146#2535C2211yescharacteristic
147#2535C2212yes—
148#2535C2211yescharacteristic
149#2530C2214yes—
150#2522C2214yes—
151#2522C2212yes—
152#2522C2212yes—
153#2516C2212yes—
154#2516C2212yes—
155#2515C2214yes—
156#2511C2212yes—
157#2511C2212yes—
158#2502C2212yes—
159#2502C2211yescharacteristic
160#2501C2211yescharacteristic
161#2497C2212yes—
162#2496C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2491C2214yes—
166#2486C2212yes—
167#2479C2214yes—
168#2467C2214yes—
169#2466C2214yes—
170#2464C2212yes—
171#2464C2212yes—
172#2464C2214yes—
173#2461C2214yes—
174#2461C2214yes—
175#2457C2214yes—
176#2457C2212yes—
177#2457C2212yes—
178#2456C2214yes—
179#2456C2214yes—
180#2456C2214yes—
181#2456C2214yes—
182#2455C2214yes—
183#2450C2214yes—
184#2449C2214yes—
185#2449C2214yes—
186#2449C2214yes—
187#2449C2214yes—
188#2448C2212yes—
189#2446C2212yes—
190#2446C2212yes—
191#2446C2212yes—
192#2443C2214yes—
193#2443C2214yes—
194#2440C2214yes—
195#2440C2214yes—
196#2440C2214yes—
197#2436C2212yes—
198#2434C2212yes—
199#2434C2212yes—
200#2432C2212yes—
201#2432C2212yes—
202#2432C2212yes—
203#2432C2211yescharacteristic
204#2431C2211yescharacteristic
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2428C2212yes—
210#2427C2214yes—
211#2427C2212yes—
212#2425C2214yes—
213#2422C2214yes—
214#2422C2214yes—
215#2417C2212yes—
216#2417C2212yes—
217#2417C2214yes—
218#2416C2214yes—
219#2413C2214yes—
220#2409C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2402C2211yescharacteristic
227#2397C2211yescharacteristic
228#2392C2211yescharacteristic
229#2392C2212yes—
230#2392C2211yescharacteristic
231C2×#398C2212yes—
232#2377C2214yes—
233#2376C2214yes—
234#2373C2214yes—
235#2367C2212yes—
236#2365C2212yes—
237#2364C2214yes—
238#2361C2214yes—
239#2357C2211yescharacteristic
240#2356C2211yescharacteristic
241#2351C2211yescharacteristic
242#2349C2211yescharacteristic
243D4×C4⋊C4C2214yes—
244D4×C4⋊C4C2214yes—
245D4×C4⋊C4C2214yes—
246Q8×C22⋊C4C2212yes—
247#2339C2212yes—
248#2335C2214yes—
249#2329C2214yes—
250#2327C2211yescharacteristic
251#2327C2211yescharacteristic
252#2326C2211yescharacteristic
253#2326C2211yescharacteristic
254#2325C2214yes—
255#2322C2214yes—
256C4×C4⋊Q8C2211yescharacteristic
257C4×#127C2211yescharacteristic
258C4×C22⋊Q8C2212yes—
259C4×#123C2212yes—
260C4×#123C2212yes—
261C4×#121C2212yes—
262C4×#121C2212yes—
263C4×#121C2212yes—
264#2298C2211yescharacteristic
265C42×D4C2211yescharacteristic
266C42×D4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C23×Q8C2312yes—
271C23×Q8C2312yes—
272D4×Q8—44no—
273D4×Q8—44no—
274#548—48no—
275#548—48no—
276#548—48no—
277#547—44no—
278#547—44no—
279#547—48no—
280#542—44no—
281#532—48no—
282C2×C4⋊Q8—48no—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2312yes—
287C2×C4⋊Q8C2312yes—
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2312yes—
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2314yes—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2314yes—
295C2×#127C2311yescharacteristic
296C2×#126C2312yes—
297C2×#126C2314yes—
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2312yes—
306C2×#124C2311yescharacteristic
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×#123C2312yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346#520—44no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2312yes—
408#398C2312yes—
409#398C2312yes—
410#398C2311yescharacteristic
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2312yes—
428#398C2311yescharacteristic
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2311yescharacteristic
446#397C2314yes—
447#397C2311yescharacteristic
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#394C2311yescharacteristic
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2311yescharacteristic
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2311yescharacteristic
502#392C2314yes—
503#392C2311yescharacteristic
504#392C2312yes—
505#392C2312yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
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#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2314yes—
682#384C2314yes—
683#384C2314yes—
684#383C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#381C2312yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2314yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2311yescharacteristic
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741#376C2311yescharacteristic
742#376C2312yes—
743C2×#95C2314yes—
744C2×#95C2312yes—
745C43C2311yescharacteristic
746C2×#41—24no—
747C2×#41—24no—
748C2×#41—28no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—44no—
755C22×Q8—28no—
756C22×Q8—44no—
757C22×Q8—44no—
758C22×Q8—44no—
759C22×Q8—44no—
760C22×Q8—44no—
761C22×Q8C2411yescharacteristic
762C22×Q8C2412yes—
763C22×Q8C2412yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2414yes—
766C22×Q8C2412yes—
767C22×Q8C2414yes—
768C22×D4C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C4⋊Q8—24no—
801C4⋊Q8—28no—
802C4⋊Q8—24no—
803C4⋊Q8—24no—
804C4⋊Q8—42no—
805C4⋊Q8—44no—
806C4⋊Q8—44no—
807C4⋊Q8—44no—
808C4⋊Q8—44no—
809C4⋊Q8—44no—
810C4⋊Q8—48no—
811C4⋊Q8—48no—
812#127—24no—
813#126—44no—
814#126—48no—
815#124—24no—
816#124—28no—
817#124—24no—
818#124—44no—
819#124—44no—
820#124—42no—
821#124—48no—
822#124—48no—
823#124—48no—
824#123—28no—
825#123—48no—
826#123—48no—
827#123—48no—
828#123—44no—
829#123—48no—
830#123—44no—
831#123—48no—
832#123—48no—
833C22⋊Q8—28no—
834C22⋊Q8—48no—
835C22⋊Q8—48no—
836C22⋊Q8—48no—
837C22⋊Q8—48no—
838C22⋊Q8—48no—
839C22⋊Q8—48no—
840C22⋊Q8—44no—
841C22⋊Q8—42no—
842C22⋊Q8—44no—
843C22⋊Q8—44no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846C22⋊Q8—44no—
847C22⋊Q8—44no—
848C22⋊Q8—44no—
849#121—28no—
850#121—216no—
851#121—28no—
852#121—44no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—42no—
860#121—44no—
861#121—44no—
862#121—44no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—42no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×D4—28no—
870C4×D4—24no—
871C4×D4—24no—
872C4×D4—24no—
873C4×D4—24no—
874C4×D4—48no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—48no—
886C4×D4—44no—
887C4×D4—48no—
888C4×D4—48no—
889C4×D4—48no—
890C4×D4—48no—
891C4×D4—48no—
892#117—24no—
893#117—44no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4—48no—
897C2×C4⋊C4—48no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—48no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C42—44no—
1018C2×C42—44no—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099C24C2511yescharacteristic
1100C24C2512yes—
1101C24C2512yes—
1102C24C2512yes—
1103C24C2512yes—
1104#41—416no—
1105#41—816no—
1106#41—816no—
1107C2×Q8—22no—
1108C2×Q8—22no—
1109C2×Q8—22no—
1110C2×Q8—24no—
1111C2×Q8—24no—
1112C2×Q8—22no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—22no—
1118C2×Q8—28no—
1119C2×Q8—44no—
1120C2×Q8—44no—
1121C2×Q8—44no—
1122C2×Q8—44no—
1123C2×Q8—44no—
1124C2×Q8—42no—
1125C2×Q8—44no—
1126C2×Q8—816no—
1127C2×Q8—816no—
1128C2×Q8H(5,𝔽2)14yes—
1129C2×D4—24no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4H(5,𝔽2)14yes—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—28no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—28no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—28no—
1192C22×C4—24no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2514yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
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—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C42−1+418yes—
1360C42—22no—
1361C42—22no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—24no—
1366C42—22no—
1367C42—22no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42H(5,𝔽2)14yes—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23—24no—
1390C23—22no—
1391C23—22no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—24no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—24no—
1407C23—22no—
1408C23—22no—
1409C23C2×H(5,𝔽2)14yes—
1410C23C2×2−1+414yes—
1411C23C2611yescharacteristic
1412Q8—28no—
1413Q8—44no—
1414Q8—48no—
1415Q8—48no—
1416Q8—88no—
1417Q8—88no—
1418Q8—162no—
1419D4—28no—
1420D4—28no—
1421D4—416no—
1422D4—48no—
1423D4—44no—
1424D4—416no—
1425D4—44no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—88no—
1430D4—84no—
1431D4—88no—
1432D4—88no—
1433D4—162no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—48no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—44no—
1500C2×C4—48no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—88no—
1504C2×C4—84no—
1505C2×C4—84no—
1506C2×C4—88no—
1507C2×C4—88no—
1508C2×C4—88no—
1509C2×C4—88no—
1510C2×C4—162no—
1511C2×C4—162no—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C2×C4C2×H(5,𝔽2)12yes—
1514C2×C4C2×H(5,𝔽2)14yes—
1515C2×C4C2×H(5,𝔽2)12yes—
1516C2×C4C2×H(5,𝔽2)12yes—
1517C2×C4C2×H(5,𝔽2)12yes—
1518C2×C4C2×2−1+414yes—
1519C2×C4C2×2−1+414yes—
1520C2×C4#58514yes—
1521C22—24no—
1522C22—24no—
1523C22—28no—
1524C22—24no—
1525C22—24no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—44no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—44no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—44no—
1543C22—42no—
1544C22—41no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22C22×H(5,𝔽2)11yescharacteristic
1551C22C22×H(5,𝔽2)11yescharacteristic
1552C22C22×H(5,𝔽2)11yescharacteristic
1553C22C22×2−1+412yes—
1554C22C2×#58512yes—
1555C4—24no—
1556C4—24no—
1557C4—24no—
1558C4—24no—
1559C4—22no—
1560C4—22no—
1561C4—41no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—44no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—44no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—42no—
1574C4—41no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4#353714yes—
1581C2—44no—
1582C2—44no—
1583C2—81no—
1584C2—82no—
1585C2—82no—
1586C2C2×#353711yescharacteristic
1587C2#6283311yescharacteristic
1588C2#6283611yescharacteristic
1589C2#6301312yes—
1590C2#6301512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59128C2semidirect
2. #59125C2semidirect
3. #55277C2semidirect
4. #55179C2semidirect
5. #50740C2semidirect
6. #49248C2semidirect
7. #48486C2semidirect
8. #48476C2semidirect
9. #45632C2semidirect
10. #45497C2semidirect
11. #45349C2semidirect
12. #45267C2semidirect
13. #45267C2semidirect
14. #45221C2semidirect
15. #43412C2semidirect
16. #43127C2semidirect
17. #42788C2semidirect
18. #42648C2semidirect
19. #40076C2semidirect
20. #39864C2semidirect
21. #39721C2semidirect
22. #39659C2semidirect
23. #37395C2semidirect
24. #36509C2semidirect
25. #36498C2semidirect
26. #36127C2semidirect
27. D4×C4⋊Q8C2semidirect
28. #36020C2semidirect
29. #35737C2semidirect
30. #35535C2semidirect
31. #34967C2semidirect

Maximal subgroups

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

subgroupindex
#591282
#591252
#552772
#551792
#507402
#492482
#484862
#484762
#456322
#454972
#453492
#452672
#452212
#434122
#431272
#427882
#426482
#400762
#398642
#397212
#396592
#373952
#365092
#364982
#361272
D4×C4⋊Q82
#360202
#357372
#355352
#349672