Finite Group Databasebeta

← #7709657

Subgroups — #7709657

Order 512.

4302 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59665C211yesmaximal, characteristic, complemented
2#59639C211yesmaximal, characteristic, complemented
3#59557C212yesmaximal, complemented
4#59511C212yesmaximal, complemented
5#59459C211yesmaximal, characteristic, complemented
6#59429C211yesmaximal, characteristic, complemented
7#45666C214yesmaximal, complemented
8#45640C212yesmaximal
9#45618C212yesmaximal, complemented
10#40181C214yesmaximal, complemented
11#39939C212yesmaximal, complemented
12#39907C212yesmaximal, complemented
13#39905C212yesmaximal
14#39890C212yesmaximal, complemented
15#39293C212yesmaximal, complemented
16#39203C211yesmaximal, characteristic, complemented
17#39183C211yesmaximal, characteristic, complemented
18#39078C212yesmaximal, complemented
19#38986C211yesmaximal, characteristic, complemented
20#38967C211yesmaximal, characteristic, complemented
21#38742C214yesmaximal, complemented
22#37509C212yesmaximal, complemented
23#37001C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic
25#36635C211yesmaximal, characteristic, complemented
26#36535C212yesmaximal, complemented
27#36480C211yesmaximal, characteristic, complemented
28#36459C211yesmaximal, characteristic
29#36395C212yesmaximal, complemented
30#36314C211yesmaximal, characteristic, complemented
31#36272C211yesmaximal, characteristic
32#35185C212yesmaximal, complemented
33#35115C212yesmaximal, complemented
34#34462C212yesmaximal, complemented
35C4×#533C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#533C2211yescharacteristic
38#2866C2212yes—
39#2865C2212yes—
40#2864C2212yes—
41#2864C2211yescharacteristic
42#2864C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2863C2211yescharacteristic
46#2863C2212yes—
47#2862C2211yescharacteristic
48#2861C2211yescharacteristic
49#2860C2211yescharacteristic
50#2860C2212yes—
51#2859C2211yescharacteristic
52#2859C2212yes—
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2855C2212yes—
56#2855C2212yes—
57#2855C2211yescharacteristic
58#2854C2211yescharacteristic
59#2853C2212yes—
60#2852C2212yes—
61#2851C2212yes—
62#2851C2211yescharacteristic
63#2850C2211yescharacteristic
64#2835C2214yes—
65#2827C2214yes—
66#2805C2214yes—
67#2802C2214yes—
68#2799C2214yes—
69#2798C2214yes—
70#2798C2214yes—
71#2794C2214yes—
72#2793C2214yes—
73#2792C2214yes—
74#2791C2214yes—
75#2789C2214yes—
76#2788C2214yes—
77#2788C2214yes—
78#2777C2214yes—
79#2770C2214yes—
80#2770C2214yes—
81#2769C2214yes—
82#2762C2214yes—
83#2759C2214yes—
84#2758C2214yes—
85#2758C2214yes—
86#2758C2214yes—
87#2754C2214yes—
88#2745C2214yes—
89#2742C2214yes—
90#2739C2214yes—
91#2737C2214yes—
92#2707C2214yes—
93#2698C2214yes—
94#2690C2214yes—
95#2689C2214yes—
96#2687C2214yes—
97#2680C2214yes—
98#2655C2214yes—
99#2653C2214yes—
100#2652C2214yes—
101#2650C2214yes—
102#2650C2214yes—
103#2647C2212yes—
104#2645C2212yes—
105#2634C2214yes—
106#2628C2212yes—
107#2625C2212yes—
108#2611C2214yes—
109#2605C2214yes—
110#2604C2214yes—
111#2599C2214yes—
112#2596C2214yes—
113#2596C2214yes—
114#2594C2214yes—
115#2594C2214yes—
116#2592C2212yes—
117#2590C2214yes—
118#2590C2214yes—
119#2588C2214yes—
120#2588C2214yes—
121#2586C2214yes—
122#2584C2212yes—
123#2584C2212yes—
124#2581C2212yes—
125#2581C2214yes—
126#2577C2214yes—
127#2571C2211yescharacteristic
128#2571C2212yes—
129#2571C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2568C2211yescharacteristic
135#2567C2212yes—
136#2567C2211yescharacteristic
137#2567C2212yes—
138#2565C2212yes—
139#2565C2214yes—
140#2563C2211yescharacteristic
141#2563C2212yes—
142#2560C2214yes—
143#2553C2214yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2552C2212yes—
147#2552C2212yes—
148#2551C2211yescharacteristic
149#2550C2212yes—
150#2550C2212yes—
151#2550C2212yes—
152#2542C2211yescharacteristic
153#2538C2212yes—
154#2533C2214yes—
155#2533C2214yes—
156#2533C2214yes—
157#2533C2214yes—
158#2532C2214yes—
159#2532C2214yes—
160#2530C2214yes—
161#2530C2214yes—
162#2528C2214yes—
163#2524C2214yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2511C2212yes—
171#2511C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2509C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2499C2212yes—
180#2499C2212yes—
181#2497C2212yes—
182#2497C2212yes—
183#2497C2212yes—
184#2496C2212yes—
185#2496C2214yes—
186#2496C2212yes—
187#2495C2212yes—
188#2495C2212yes—
189#2492C2212yes—
190#2492C2212yes—
191#2490C2212yes—
192#2489C2212yes—
193#2489C2212yes—
194#2485C2212yes—
195#2469C2214yes—
196#2469C2214yes—
197#2465C2214yes—
198#2465C2214yes—
199#2462C2214yes—
200#2454C2212yes—
201#2453C2212yes—
202#2453C2214yes—
203#2453C2212yes—
204#2451C2212yes—
205#2451C2212yes—
206#2442C2212yes—
207#2440C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2421C2214yes—
214#2421C2212yes—
215#2415C2212yes—
216#2383C2214yes—
217#2376C2214yes—
218#2373C2214yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2214yes—
222#2369C2211yescharacteristic
223#2369C2211yescharacteristic
224#2367C2212yes—
225#2365C2211yescharacteristic
226#2365C2211yescharacteristic
227#2365C2212yes—
228#2362C2212yes—
229#2362C2212yes—
230#2360C2212yes—
231#2356C2212yes—
232#2355C2211yescharacteristic
233#2355C2212yes—
234#2355C2214yes—
235#2355C2212yes—
236#2354C2212yes—
237#2354C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241#2347C2214yes—
242#2347C2212yes—
243#2347C2212yes—
244#2345C2212yes—
245#2336C2214yes—
246#2336C2214yes—
247#2335C2214yes—
248#2334C2214yes—
249#2330C2212yes—
250#2323C2212yes—
251#2323C2214yes—
252#2320C2212yes—
253#2316C2212yes—
254#2314C2214yes—
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×#125C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2211yescharacteristic
267C4×#125C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#126C2212yes—
270C4×#124C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2283C2212yes—
294C42×Q8C2212yes—
295C42×Q8C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C43C2211yescharacteristic
299#552—216no—
300#533—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2311yescharacteristic
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×#117C2314yes—
347C2×#117C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361#401C2314yes—
362#401C2314yes—
363#400C2314yes—
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#399C2314yes—
392#399C2314yes—
393#398C2314yes—
394#398C2314yes—
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#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#391C2314yes—
442#391C2312yes—
443#391C2312yes—
444#391C2314yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2311yescharacteristic
450#391C2314yes—
451#391C2314yes—
452#391C2312yes—
453#391C2314yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2311yescharacteristic
461#391C2314yes—
462#391C2314yes—
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#390C2314yes—
474#390C2311yescharacteristic
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#389C2312yes—
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#389C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2314yes—
686#384C2314yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2314yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#381C2312yes—
713#381C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797#376C2312yes—
798#376C2314yes—
799#376C2312yes—
800#376C2312yes—
801#376C2314yes—
802C43C2311yescharacteristic
803C43C2311yescharacteristic
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2312yes—
807C43C2311yescharacteristic
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835#126—216no—
836#126—44no—
837#126—48no—
838#125—24no—
839#125—24no—
840#125—28no—
841#125—216no—
842#125—24no—
843#125—44no—
844#125—44no—
845#125—48no—
846#124—24no—
847#123—216no—
848#123—44no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—48no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—42no—
857#121—42no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—28no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—48no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×D4—28no—
872C4×D4—24no—
873C4×D4—44no—
874#117—24no—
875#117—216no—
876#117—44no—
877#117—42no—
878#117—44no—
879#117—42no—
880#117#4118yes—
881C2×C4⋊C4—28no—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C42—24no—
991C2×C42—24no—
992C2×C42—24no—
993C2×C42—42no—
994C2×C42—42no—
995C2×C42—42no—
996C2×C42—42no—
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
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—24no—
1140C2×Q8—24no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×Q8—42no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—28no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4C2×#4114yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4C2×#4114yes—
1300C4⋊C4C2×#4114yes—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4C2×#4118yes—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—24no—
1334C42—28no—
1335C42—24no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—41no—
1359C42—41no—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—42no—
1367C42—42no—
1368C42—44no—
1369C42—42no—
1370C42—42no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—44no—
1377C42—44no—
1378C42C2×#4118yes—
1379C422−1+414yes—
1380C422−1+414yes—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23C22×#4112yes—
1395C23C2611yescharacteristic
1396Q8—48no—
1397Q8—48no—
1398Q8—48no—
1399Q8—44no—
1400Q8—84no—
1401Q8—88no—
1402D4—44no—
1403D4—84no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—28no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
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—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
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—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—48no—
1496C2×C4—44no—
1497C2×C4—88no—
1498C2×C4C22×#4112yes—
1499C2×C4C22×#4114yes—
1500C2×C4C22×#4114yes—
1501C2×C4C22×#4112yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4#58512yes—
1509C2×C4#58512yes—
1510C2×C4#58512yes—
1511C2×C4#58512yes—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22C23×#4111yescharacteristic
1527C22C22×2−1+411yescharacteristic
1528C22C22×2−1+411yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22C2×#58511yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C4—22no—
1534C4—22no—
1535C4—24no—
1536C4—22no—
1537C4—24no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—41no—
1545C4—41no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—41no—
1553C4—42no—
1554C4—41no—
1555C4—44no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4#350714yes—
1565C4#355514yes—
1566C2—42no—
1567C2—82no—
1568C2C2×#355511yescharacteristic
1569C2#6276211yescharacteristic
1570C2C2×#350711yescharacteristic
1571C2#6280511yescharacteristic
1572C2#6281611yescharacteristic
1573C2#6283111yescharacteristic
1574C2#6283811yescharacteristic
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. #59665C2semidirect
2. #59639C2semidirect
3. #59557C2semidirect
4. #59511C2semidirect
5. #59459C2semidirect
6. #59429C2semidirect
7. #45666C2semidirect
9. #45618C2semidirect
10. #40181C2semidirect
11. #39939C2semidirect
12. #39907C2semidirect
14. #39890C2semidirect
15. #39293C2semidirect
16. #39203C2semidirect
17. #39183C2semidirect
18. #39078C2semidirect
19. #38986C2semidirect
20. #38967C2semidirect
21. #38742C2semidirect
22. #37509C2semidirect
23. #37001C2semidirect
25. #36635C2semidirect
26. #36535C2semidirect
27. #36480C2semidirect
29. #36395C2semidirect
30. #36314C2semidirect
32. #35185C2semidirect
33. #35115C2semidirect
34. #34462C2semidirect
35. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#596652
#596392
#595572
#595112
#594592
#594292
#456662
#456402
#456182
#401812
#399392
#399072
#399052
#398902
#392932
#392032
#391832
#390782
#389862
#389672
#387422
#375092
#370012
#366382
#366352
#365352
#364802
#364592
#363952
#363142
#362722
#351852
#351152
#344622
C4×#5332