Finite Group Databasebeta

← #7710646

Subgroups — #7710646

Order 512.

4316 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59666C211yesmaximal, characteristic, complemented
2#59665C211yesmaximal, characteristic, complemented
3#59429C211yesmaximal, characteristic, complemented
4#59428C211yesmaximal, characteristic, complemented
5#59261C212yesmaximal, complemented
6#59069C212yesmaximal
7#46217C214yesmaximal, complemented
8#45668C212yesmaximal, complemented
9#45648C212yesmaximal, complemented
10#40095C212yesmaximal, complemented
11#40069C212yesmaximal
12#39250C212yesmaximal, complemented
13#39149C211yesmaximal, characteristic, complemented
14#39146C211yesmaximal, characteristic
15#39032C212yesmaximal, complemented
16#38932C211yesmaximal, characteristic
17#38931C211yesmaximal, characteristic, complemented
18#38620C214yesmaximal, complemented
19#38348C214yesmaximal, complemented
20#38227C212yesmaximal, complemented
21#38224C212yesmaximal, complemented
22#37580C212yesmaximal, complemented
23#36881C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36556C211yesmaximal, characteristic, complemented
27Q8×#125C211yesmaximal, characteristic, complemented
28#36196C212yesmaximal, complemented
29#36175C211yesmaximal, characteristic, complemented
30#36171C212yesmaximal, complemented
31#36165C211yesmaximal, characteristic, complemented
32#35142C212yesmaximal, complemented
33#35132C212yesmaximal, complemented
34#34499C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#529C2211yescharacteristic
38#2864C2212yes—
39#2864C2211yescharacteristic
40#2864C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2862C2211yescharacteristic
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2212yes—
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2855C2212yes—
56#2855C2212yes—
57#2855C2212yes—
58#2855C2212yes—
59#2851C2211yescharacteristic
60#2851C2212yes—
61#2851C2211yescharacteristic
62#2851C2212yes—
63#2851C2212yes—
64#2839C2214yes—
65#2833C2214yes—
66#2802C2214yes—
67#2799C2214yes—
68#2794C2214yes—
69#2794C2214yes—
70#2791C2214yes—
71#2788C2214yes—
72#2787C2214yes—
73#2776C2214yes—
74#2776C2214yes—
75#2770C2214yes—
76#2766C2214yes—
77#2765C2214yes—
78#2764C2214yes—
79#2758C2214yes—
80#2758C2214yes—
81#2747C2214yes—
82#2747C2214yes—
83#2746C2214yes—
84#2744C2214yes—
85#2739C2214yes—
86#2739C2214yes—
87#2738C2214yes—
88#2728C2214yes—
89#2720C2214yes—
90#2698C2214yes—
91#2698C2214yes—
92#2695C2214yes—
93#2695C2214yes—
94#2690C2214yes—
95#2689C2214yes—
96#2687C2214yes—
97#2680C2214yes—
98#2666C2214yes—
99#2666C2214yes—
100#2655C2214yes—
101#2655C2214yes—
102#2655C2214yes—
103#2652C2214yes—
104#2647C2212yes—
105#2647C2212yes—
106#2645C2212yes—
107#2645C2212yes—
108#2612C2214yes—
109#2612C2214yes—
110#2588C2214yes—
111#2584C2212yes—
112#2582C2212yes—
113#2581C2212yes—
114#2581C2212yes—
115#2581C2212yes—
116#2575C2214yes—
117#2573C2214yes—
118#2573C2214yes—
119#2571C2211yescharacteristic
120#2571C2211yescharacteristic
121#2570C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2567C2211yescharacteristic
125#2565C2212yes—
126#2563C2211yescharacteristic
127#2562C2212yes—
128#2562C2212yes—
129#2552C2211yescharacteristic
130#2552C2211yescharacteristic
131#2552C2212yes—
132#2552C2212yes—
133#2550C2212yes—
134#2550C2212yes—
135#2547C2211yescharacteristic
136#2546C2211yescharacteristic
137#2538C2212yes—
138#2533C2214yes—
139#2533C2214yes—
140#2533C2214yes—
141#2528C2214yes—
142#2528C2214yes—
143#2527C2214yes—
144#2524C2214yes—
145#2524C2214yes—
146#2524C2214yes—
147#2523C2214yes—
148#2520C2214yes—
149#2520C2214yes—
150#2517C2214yes—
151#2514C2212yes—
152#2511C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2508C2212yes—
158#2508C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2212yes—
162#2507C2214yes—
163#2507C2212yes—
164#2507C2212yes—
165#2507C2212yes—
166#2507C2214yes—
167#2506C2212yes—
168#2506C2212yes—
169#2505C2214yes—
170#2505C2214yes—
171#2497C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2496C2212yes—
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2496C2214yes—
179#2495C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2495C2212yes—
183#2494C2212yes—
184#2494C2212yes—
185#2494C2212yes—
186#2493C2214yes—
187#2487C2212yes—
188#2486C2212yes—
189#2478C2214yes—
190#2478C2214yes—
191#2478C2214yes—
192#2475C2214yes—
193#2466C2214yes—
194#2466C2214yes—
195#2465C2214yes—
196#2453C2214yes—
197#2447C2212yes—
198#2447C2212yes—
199#2446C2212yes—
200#2446C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2442C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2438C2214yes—
208#2438C2214yes—
209#2429C2212yes—
210#2427C2212yes—
211#2423C2212yes—
212#2422C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2419C2214yes—
216#2383C2214yes—
217#2378C2214yes—
218#2373C2214yes—
219#2373C2214yes—
220#2370C2212yes—
221#2370C2212yes—
222#2369C2211yescharacteristic
223#2369C2211yescharacteristic
224#2367C2212yes—
225#2367C2212yes—
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2359C2214yes—
230#2356C2212yes—
231#2355C2212yes—
232#2355C2212yes—
233#2351C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2212yes—
237Q8×C4⋊C4C2212yes—
238#2349C2212yes—
239#2349C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242#2345C2212yes—
243#2344C2212yes—
244#2343C2214yes—
245#2336C2214yes—
246#2334C2214yes—
247#2334C2214yes—
248#2329C2214yes—
249#2329C2214yes—
250#2327C2212yes—
251#2326C2212yes—
252#2320C2212yes—
253#2319C2212yes—
254#2314C2214yes—
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×#125C2211yescharacteristic
260C4×#125C2211yescharacteristic
261C4×#125C2211yescharacteristic
262C4×#125C2212yes—
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2211yescharacteristic
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2283C2211yescharacteristic
289#2283C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293C2×#382C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#556—216no—
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×#121C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×#117C2314yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C42C2311yescharacteristic
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361#401C2314yes—
362#401C2314yes—
363#401C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#394C2314yes—
439#394C2314yes—
440#393C2314yes—
441#391C2312yes—
442#391C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2311yescharacteristic
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2314yes—
458#391C2312yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#390C2312yes—
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2311yescharacteristic
479#389C2311yescharacteristic
480#389C2311yescharacteristic
481#389C2311yescharacteristic
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
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#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2312yes—
640#385C2312yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2312yes—
666#384C2312yes—
667#384C2314yes—
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2314yes—
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2312yes—
678#383C2312yes—
679#383C2314yes—
680#382C2311yescharacteristic
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2314yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2314yes—
700#382C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#381C2312yes—
706#381C2314yes—
707#381C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795#376C2312yes—
796#376C2312yes—
797#376C2314yes—
798#376C2314yes—
799#376C2312yes—
800#376C2312yes—
801C2×#95C2314yes—
802C2×#95C2314yes—
803C43C2311yescharacteristic
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—42no—
835C4⋊Q8—42no—
836#126—28no—
837#126—216no—
838#126—216no—
839#126—48no—
840#125—24no—
841#125—24no—
842#125—24no—
843#125—44no—
844#125—44no—
845#125—44no—
846#125—48no—
847#124—28no—
848#124#4118yes—
849#123—28no—
850#123—48no—
851C22⋊Q8—24no—
852C22⋊Q8—216no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—48no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858#121—24no—
859C4×Q8—24no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×D4—24no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—24no—
874C4×D4—42no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878#117—28no—
879#117—216no—
880#117—44no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C42—24no—
989C2×C42—24no—
990C2×C42—28no—
991C2×C42—24no—
992C2×C42—42no—
993C2×C42—42no—
994C2×C42—42no—
995C2×C42—42no—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135C24C2512yes—
1136C24C2511yescharacteristic
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8C2×#4114yes—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—42no—
1157C2×D4C2×#4114yes—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—28no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4C2×#4118yes—
1331C22⋊C4C2×#4118yes—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—24no—
1336C42—28no—
1337C42—28no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—41no—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—42no—
1370C42—42no—
1371C42—44no—
1372C42—42no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—44no—
1377C42—44no—
1378C42C2×#4114yes—
1379C422−1+414yes—
1380C422−1+414yes—
1381C23—21no—
1382C23—22no—
1383C23—21no—
1384C23—22no—
1385C23—21no—
1386C23—22no—
1387C23—21no—
1388C23—21no—
1389C23—22no—
1390C23—22no—
1391C23—21no—
1392C23—22no—
1393C23C22×#4114yes—
1394C23#58512yes—
1395C23C2611yescharacteristic
1396Q8—28no—
1397Q8—48no—
1398Q8—84no—
1399Q8—84no—
1400Q8—84no—
1401D4—28no—
1402D4—48no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—48no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—48no—
1498C2×C4—84no—
1499C2×C4—88no—
1500C2×C4—164no—
1501C2×C4C22×#4112yes—
1502C2×C4C22×#4114yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4#58512yes—
1512C2×C4#58512yes—
1513C2×C4#58512yes—
1514C22—22no—
1515C22—24no—
1516C22—24no—
1517C22—22no—
1518C22—24no—
1519C22—22no—
1520C22—42no—
1521C22—41no—
1522C22—42no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—42no—
1527C22—42no—
1528C22C23×#4111yescharacteristic
1529C22C22×2−1+411yescharacteristic
1530C22C22×2−1+411yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58511yescharacteristic
1535C4—22no—
1536C4—24no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—42no—
1548C4—41no—
1549C4—44no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—41no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—41no—
1560C4—44no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—41no—
1565C4—44no—
1566C4#351514yes—
1567C4#355514yes—
1568C2—42no—
1569C2—44no—
1570C2C2×#355511yescharacteristic
1571C2#6275211yescharacteristic
1572C2C2×#351511yescharacteristic
1573C2#6280511yescharacteristic
1574C2#6281611yescharacteristic
1575C2#6282711yescharacteristic
1576C2#6283111yescharacteristic
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. #59666C2semidirect
2. #59665C2semidirect
3. #59429C2semidirect
4. #59428C2semidirect
5. #59261C2semidirect
7. #46217C2semidirect
8. #45668C2semidirect
9. #45648C2semidirect
10. #40095C2semidirect
12. #39250C2semidirect
13. #39149C2semidirect
15. #39032C2semidirect
17. #38931C2semidirect
18. #38620C2semidirect
19. #38348C2semidirect
20. #38227C2semidirect
21. #38224C2semidirect
22. #37580C2semidirect
23. #36881C2semidirect
24. #36635C2semidirect
25. #36635C2semidirect
26. #36556C2semidirect
27. Q8×#125C2semidirect
28. #36196C2semidirect
29. #36175C2semidirect
30. #36171C2semidirect
31. #36165C2semidirect
32. #35142C2semidirect
33. #35132C2semidirect
34. #34499C2semidirect

Maximal subgroups

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

subgroupindex
#596662
#596652
#594292
#594282
#592612
#590692
#462172
#456682
#456482
#400952
#400692
#392502
#391492
#391462
#390322
#389322
#389312
#386202
#383482
#382272
#382242
#375802
#368812
#366352
#365562
Q8×#1252
#361962
#361752
#361712
#361652
#351422
#351322
#344992
C4×#5292