Finite Group Databasebeta

← #7806384

Subgroups — #7806384

Order 512.

4337 conjugacy classes of subgroups.

The subgroup lattice has 1569 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59895C212yesmaximal, complemented
2#59870C211yesmaximal, characteristic, complemented
3#59671C212yesmaximal, complemented
4#59666C211yesmaximal, characteristic, complemented
5#59583C212yesmaximal, complemented
6#59509C212yesmaximal
7#59436C211yesmaximal, characteristic, complemented
8#59425C212yesmaximal, complemented
9#59413C211yesmaximal, characteristic, complemented
10#59402C212yesmaximal, complemented
11#59271C212yesmaximal, complemented
12#59262C212yesmaximal, complemented
13#59257C211yesmaximal, characteristic
14#59242C211yesmaximal, characteristic, complemented
15#59067C211yesmaximal, characteristic, complemented
16#59036C211yesmaximal, characteristic
17#47163C214yesmaximal, complemented
18#46982C214yesmaximal, complemented
19#42863C212yesmaximal, complemented
20#42851C212yesmaximal, complemented
21#42764C212yesmaximal, complemented
22#42744C212yesmaximal, complemented
23#42377C214yesmaximal, complemented
24#37638C211yesmaximal, characteristic, complemented
25#36055C212yesmaximal
26#35963C212yesmaximal, complemented
27#35945C212yesmaximal, complemented
28#35883C212yesmaximal, complemented
29#35835C214yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34969C211yesmaximal, characteristic
32#34941C211yesmaximal, characteristic, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34328C211yesmaximal, characteristic, complemented
35#34225C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2839C2214yes—
40#2833C2214yes—
41#2831C2214yes—
42#2805C2214yes—
43#2805C2214yes—
44#2802C2214yes—
45#2802C2214yes—
46#2789C2214yes—
47#2787C2214yes—
48#2787C2214yes—
49#2781C2214yes—
50#2776C2214yes—
51#2772C2214yes—
52#2771C2214yes—
53#2769C2214yes—
54#2769C2214yes—
55#2767C2214yes—
56#2762C2214yes—
57#2759C2214yes—
58#2758C2214yes—
59#2754C2214yes—
60#2750C2214yes—
61#2745C2214yes—
62#2744C2214yes—
63#2720C2214yes—
64#2704C2214yes—
65#2692C2214yes—
66#2667C2214yes—
67#2666C2214yes—
68#2655C2214yes—
69#2654C2214yes—
70#2649C2214yes—
71#2647C2212yes—
72#2647C2212yes—
73#2645C2212yes—
74#2645C2212yes—
75#2645C2214yes—
76#2634C2214yes—
77#2611C2214yes—
78#2611C2214yes—
79#2605C2214yes—
80#2599C2214yes—
81#2595C2214yes—
82#2594C2214yes—
83#2590C2214yes—
84#2589C2214yes—
85#2588C2214yes—
86#2587C2214yes—
87#2582C2211yescharacteristic
88#2582C2212yes—
89#2581C2212yes—
90#2581C2214yes—
91#2575C2214yes—
92#2574C2214yes—
93#2573C2214yes—
94#2573C2214yes—
95#2571C2211yescharacteristic
96#2571C2212yes—
97#2571C2212yes—
98#2570C2212yes—
99#2569C2214yes—
100#2568C2212yes—
101#2567C2211yescharacteristic
102#2567C2211yescharacteristic
103#2567C2211yescharacteristic
104#2565C2212yes—
105#2563C2211yescharacteristic
106#2558C2214yes—
107#2556C2214yes—
108#2552C2211yescharacteristic
109#2552C2212yes—
110#2550C2212yes—
111#2550C2212yes—
112#2550C2212yes—
113#2538C2212yes—
114#2538C2211yescharacteristic
115#2533C2214yes—
116#2533C2212yes—
117#2532C2214yes—
118#2530C2212yes—
119#2528C2212yes—
120#2527C2212yes—
121#2526C2214yes—
122#2524C2214yes—
123#2520C2214yes—
124#2520C2214yes—
125#2515C2214yes—
126#2514C2212yes—
127#2514C2212yes—
128#2514C2214yes—
129#2514C2212yes—
130#2514C2211yescharacteristic
131#2514C2214yes—
132#2514C2212yes—
133#2514C2212yes—
134#2511C2212yes—
135#2511C2214yes—
136#2511C2212yes—
137#2511C2211yescharacteristic
138#2510C2214yes—
139#2509C2212yes—
140#2509C2211yescharacteristic
141#2509C2212yes—
142#2509C2212yes—
143#2508C2212yes—
144#2508C2212yes—
145#2507C2212yes—
146#2506C2212yes—
147#2506C2212yes—
148#2506C2214yes—
149#2506C2211yescharacteristic
150#2503C2212yes—
151#2499C2212yes—
152#2498C2214yes—
153#2497C2212yes—
154#2497C2214yes—
155#2496C2211yescharacteristic
156#2495C2212yes—
157#2495C2212yes—
158#2495C2214yes—
159#2495C2212yes—
160#2495C2212yes—
161#2495C2214yes—
162#2494C2212yes—
163#2494C2211yescharacteristic
164#2494C2214yes—
165#2493C2214yes—
166#2493C2214yes—
167#2492C2211yescharacteristic
168#2489C2212yes—
169#2489C2211yescharacteristic
170#2479C2214yes—
171#2478C2212yes—
172#2477C2212yes—
173#2475C2212yes—
174#2470C2212yes—
175#2469C2214yes—
176#2465C2214yes—
177#2462C2214yes—
178#2454C2212yes—
179#2454C2212yes—
180#2454C2212yes—
181#2453C2211yescharacteristic
182#2453C2212yes—
183#2452C2211yescharacteristic
184#2451C2212yes—
185#2447C2212yes—
186#2447C2211yescharacteristic
187#2446C2211yescharacteristic
188#2446C2212yes—
189#2442C2212yes—
190#2441C2212yes—
191#2439C2212yes—
192#2438C2214yes—
193#2434C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2429C2211yescharacteristic
197#2427C2211yescharacteristic
198#2423C2212yes—
199#2423C2214yes—
200#2423C2212yes—
201#2423C2212yes—
202#2423C2212yes—
203#2422C2211yescharacteristic
204#2421C2211yescharacteristic
205#2420C2212yes—
206#2415C2212yes—
207#2409C2212yes—
208#2402C2212yes—
209#2401C2212yes—
210#2401C2212yes—
211#2401C2214yes—
212#2398C2212yes—
213#2396C2214yes—
214#2396C2214yes—
215#2371C2214yes—
216#2370C2214yes—
217#2370C2212yes—
218#2370C2212yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2212yes—
222#2369C2212yes—
223#2368C2214yes—
224#2367C2212yes—
225#2365C2212yes—
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2363C2212yes—
230#2362C2212yes—
231#2362C2212yes—
232#2362C2212yes—
233#2360C2212yes—
234#2357C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2356C2214yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2212yes—
243#2352C2212yes—
244#2351C2212yes—
245#2351C2212yes—
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2212yes—
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250#2347C2212yes—
251#2347C2212yes—
252#2346C2212yes—
253#2344C2212yes—
254#2343C2214yes—
255#2343C2214yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259#2336C2214yes—
260#2331C2212yes—
261#2329C2214yes—
262#2327C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2320C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#126C2212yes—
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#121C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2295C2212yes—
289C2×#391C2212yes—
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2276C2212yes—
294#2276C2212yes—
295#2275C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#557—28no—
301D4×Q8—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#126C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2311yescharacteristic
318C2×#123C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×#121C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2314yes—
356C2×#117C2314yes—
357C2×#117C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C42C2311yescharacteristic
360C22×C42C2312yes—
361#401C2314yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#401C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#393C2314yes—
462#393C2314yes—
463#393C2312yes—
464#393C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#390C2312yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2311yescharacteristic
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2314yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2314yes—
696#382C2311yescharacteristic
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#381C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2311yescharacteristic
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—42no—
838C4⋊Q8#4118yes—
839#126—44no—
840#125—28no—
841#125—216no—
842#125—28no—
843#125—28no—
844#125—44no—
845#125—48no—
846#125—42no—
847#124—24no—
848#123—44no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—216no—
853C22⋊Q8—24no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—42no—
857C22⋊Q8—42no—
858#121—24no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8—48no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×D4—24no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—44no—
882#117—28no—
883#117—48no—
884#117—48no—
885#117—42no—
886#117—42no—
887#117—44no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C42—24no—
999C2×C42—44no—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2411yescharacteristic
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137C24C2511yescharacteristic
1138C24C2512yes—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—28no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—816no—
1160C2×Q8C2×#4118yes—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D42−1+414yes—
1167C22×C4—24no—
1168C22×C4—28no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—28no—
1181C22×C4—24no—
1182C22×C4—42no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4C2×#4118yes—
1302C4⋊C4C2×#4118yes—
1303C4⋊C42−1+414yes—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—28no—
1337C42—24no—
1338C42—28no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—24no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—28no—
1353C42—28no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—42no—
1359C42—42no—
1360C42—41no—
1361C42—41no—
1362C42—44no—
1363C42—44no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—42no—
1372C42—42no—
1373C42C2×#4114yes—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23C2×2−1+414yes—
1388C23C2611yescharacteristic
1389Q8—216no—
1390Q8—48no—
1391Q8—48no—
1392Q8—44no—
1393Q8—44no—
1394Q8—44no—
1395Q8—88no—
1396D4—28no—
1397D4—84no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—24no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—48no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—48no—
1490C2×C4—44no—
1491C2×C4—84no—
1492C2×C4—88no—
1493C2×C4—88no—
1494C2×C4C22×#4118yes—
1495C2×C4C22×#4112yes—
1496C2×C4C22×#4112yes—
1497C2×C4C22×#4112yes—
1498C2×C4C2×2−1+414yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C2×C4#58512yes—
1504C2×C4#58512yes—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22C23×#4111yescharacteristic
1520C22C22×2−1+411yescharacteristic
1521C22C22×2−1+411yescharacteristic
1522C22C2×#58511yescharacteristic
1523C22C2×#58511yescharacteristic
1524C22C2×#58511yescharacteristic
1525C22C2×#58511yescharacteristic
1526C4—22no—
1527C4—24no—
1528C4—22no—
1529C4—28no—
1530C4—22no—
1531C4—42no—
1532C4—41no—
1533C4—42no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—41no—
1540C4—44no—
1541C4—42no—
1542C4—41no—
1543C4—42no—
1544C4—41no—
1545C4—44no—
1546C4—41no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—41no—
1556C4—44no—
1557C4#352114yes—
1558C4#352314yes—
1559C2—44no—
1560C2—81no—
1561C2C2×#352111yescharacteristic
1562C2C2×#352311yescharacteristic
1563C2#6279311yescharacteristic
1564C2#6302311yescharacteristic
1565C2#6302311yescharacteristic
1566C2#6302511yescharacteristic
1567C2#6303411yescharacteristic
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. #59895C2semidirect
2. #59870C2semidirect
3. #59671C2semidirect
4. #59666C2semidirect
5. #59583C2semidirect
7. #59436C2semidirect
8. #59425C2semidirect
9. #59413C2semidirect
10. #59402C2semidirect
11. #59271C2semidirect
12. #59262C2semidirect
14. #59242C2semidirect
15. #59067C2semidirect
17. #47163C2semidirect
18. #46982C2semidirect
19. #42863C2semidirect
20. #42851C2semidirect
21. #42764C2semidirect
22. #42744C2semidirect
23. #42377C2semidirect
24. #37638C2semidirect
26. #35963C2semidirect
27. #35945C2semidirect
28. #35883C2semidirect
29. #35835C2semidirect
30. #34975C2semidirect
32. #34941C2semidirect
33. #34334C2semidirect
34. #34328C2semidirect
35. #34225C2semidirect

Maximal subgroups

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

subgroupindex
#598952
#598702
#596712
#596662
#595832
#595092
#594362
#594252
#594132
#594022
#592712
#592622
#592572
#592422
#590672
#590362
#471632
#469822
#428632
#428512
#427642
#427442
#423772
#376382
#360552
#359632
#359452
#358832
#358352
#349752
#349692
#349412
#343342
#343282
#342252