Finite Group Databasebeta

← #7986155

Subgroups — #7986155

Order 512.

4193 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59583C212yesmaximal, complemented
2#59443C211yesmaximal, characteristic, complemented
3#59443C212yesmaximal, complemented
4#59248C211yesmaximal, characteristic, complemented
5#59245C211yesmaximal, characteristic, complemented
6#50633C214yesmaximal
7#49535C214yesmaximal, complemented
8#45935C214yesmaximal, complemented
9#45329C212yesmaximal, complemented
10#45281C212yesmaximal, complemented
11#45225C212yesmaximal
12#45124C212yesmaximal, complemented
13#42896C212yesmaximal
14#42864C212yesmaximal, complemented
15#42672C212yesmaximal, complemented
16#42665C212yesmaximal, complemented
17#40259C214yesmaximal, complemented
18#39724C211yesmaximal, characteristic, complemented
19#39724C211yesmaximal, characteristic, complemented
20#39609C211yesmaximal, characteristic, complemented
21#39501C212yesmaximal
22#39296C212yesmaximal, complemented
23#39159C211yesmaximal, characteristic, complemented
24#36565C211yesmaximal, characteristic, complemented
25#36311C212yesmaximal, complemented
26#36286C212yesmaximal, complemented
27#36285C211yesmaximal, characteristic, complemented
28#36209C211yesmaximal, characteristic
29#35217C212yesmaximal, complemented
30#35183C212yesmaximal
31#34929C211yesmaximal, characteristic
32#34898C211yesmaximal, characteristic
33#34374C211yesmaximal, characteristic, complemented
34#34373C211yesmaximal, characteristic, complemented
35C4×#557C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2863C2214yes—
42#2863C2212yes—
43#2862C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2839C2214yes—
48#2838C2214yes—
49#2810C2214yes—
50#2809C2214yes—
51#2809C2214yes—
52#2808C2214yes—
53#2808C2214yes—
54#2805C2214yes—
55#2799C2214yes—
56#2798C2214yes—
57#2798C2214yes—
58#2789C2214yes—
59#2789C2214yes—
60#2788C2214yes—
61#2783C2214yes—
62#2776C2214yes—
63#2776C2214yes—
64#2776C2214yes—
65#2775C2214yes—
66#2774C2214yes—
67#2773C2214yes—
68#2767C2214yes—
69#2767C2214yes—
70#2762C2214yes—
71#2759C2214yes—
72#2759C2214yes—
73#2758C2214yes—
74#2755C2214yes—
75#2754C2214yes—
76#2745C2214yes—
77#2742C2214yes—
78#2719C2214yes—
79#2719C2214yes—
80#2690C2214yes—
81#2690C2214yes—
82#2666C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2654C2214yes—
86#2651C2214yes—
87#2650C2214yes—
88#2645C2212yes—
89#2628C2212yes—
90#2621C2212yes—
91#2621C2212yes—
92#2606C2214yes—
93#2605C2214yes—
94#2605C2214yes—
95#2599C2214yes—
96#2596C2214yes—
97#2596C2214yes—
98#2594C2214yes—
99#2594C2214yes—
100#2593C2214yes—
101#2590C2214yes—
102#2588C2214yes—
103#2588C2214yes—
104#2588C2214yes—
105#2588C2214yes—
106#2586C2214yes—
107#2586C2214yes—
108#2585C2214yes—
109#2582C2211yescharacteristic
110#2582C2211yescharacteristic
111#2581C2212yes—
112#2581C2214yes—
113#2581C2212yes—
114#2577C2212yes—
115#2575C2212yes—
116#2570C2214yes—
117#2570C2212yes—
118#2570C2211yescharacteristic
119#2570C2212yes—
120#2568C2212yes—
121#2568C2212yes—
122#2568C2211yescharacteristic
123#2568C2211yescharacteristic
124#2568C2212yes—
125#2568C2212yes—
126#2567C2212yes—
127#2565C2211yescharacteristic
128#2565C2212yes—
129#2565C2212yes—
130#2562C2211yescharacteristic
131#2556C2212yes—
132#2556C2212yes—
133#2551C2211yescharacteristic
134#2551C2211yescharacteristic
135#2551C2211yescharacteristic
136#2550C2212yes—
137#2550C2212yes—
138#2550C2212yes—
139#2550C2212yes—
140#2546C2211yescharacteristic
141#2542C2211yescharacteristic
142#2538C2211yescharacteristic
143#2536C2211yescharacteristic
144#2536C2212yes—
145#2533C2214yes—
146#2533C2214yes—
147#2533C2214yes—
148#2532C2214yes—
149#2532C2214yes—
150#2532C2214yes—
151#2532C2214yes—
152#2525C2214yes—
153#2524C2214yes—
154#2524C2212yes—
155#2520C2214yes—
156#2514C2212yes—
157#2514C2212yes—
158#2514C2214yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2214yes—
162#2514C2212yes—
163#2511C2212yes—
164#2511C2212yes—
165#2511C2212yes—
166#2511C2214yes—
167#2509C2212yes—
168#2509C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2507C2212yes—
172#2506C2212yes—
173#2497C2212yes—
174#2496C2211yescharacteristic
175#2495C2211yescharacteristic
176#2495C2212yes—
177#2495C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2492C2212yes—
182#2492C2212yes—
183#2492C2212yes—
184#2492C2212yes—
185#2492C2212yes—
186#2492C2211yescharacteristic
187#2492C2211yescharacteristic
188#2492C2212yes—
189#2489C2212yes—
190#2489C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2485C2212yes—
194#2485C2212yes—
195#2469C2214yes—
196#2469C2214yes—
197#2468C2212yes—
198#2452C2212yes—
199#2451C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2451C2214yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2446C2214yes—
207#2446C2212yes—
208#2439C2212yes—
209#2429C2211yescharacteristic
210#2429C2211yescharacteristic
211#2423C2211yescharacteristic
212#2423C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2421C2211yescharacteristic
216#2421C2212yes—
217#2402C2212yes—
218#2396C2212yes—
219#2396C2212yes—
220#2395C2212yes—
221#2382C2214yes—
222#2378C2214yes—
223#2370C2212yes—
224#2370C2214yes—
225#2370C2212yes—
226#2369C2212yes—
227#2369C2212yes—
228#2369C2212yes—
229#2365C2212yes—
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2356C2214yes—
239#2356C2212yes—
240#2356C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2355C2211yescharacteristic
248#2355C2212yes—
249#2355C2212yes—
250#2355C2211yescharacteristic
251#2355C2211yescharacteristic
252#2351C2212yes—
253Q8×C4⋊C4C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256Q8×C4⋊C4C2211yescharacteristic
257#2346C2212yes—
258#2346C2212yes—
259#2336C2214yes—
260#2331C2212yes—
261#2331C2212yes—
262#2327C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2323C2214yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2314C2212yes—
270#2314C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2214yes—
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286#2298C2212yes—
287#2295C2214yes—
288#2295C2212yes—
289#2293C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2212yes—
298C42×D4C2211yescharacteristic
299#557—28no—
300#533—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2314yes—
404#399C2312yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2312yes—
444#396C2312yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2312yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2312yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2312yes—
462#393C2312yes—
463#393C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#390C2312yes—
512#390C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2312yes—
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#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#383C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#381C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2314yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—28no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—42no—
840C4⋊Q8—44no—
841#126—44no—
842#125—28no—
843#125—28no—
844#125—216no—
845#125—28no—
846#125—24no—
847#125—44no—
848C22⋊Q8—24no—
849C22⋊Q8—24no—
850C22⋊Q8—24no—
851C22⋊Q8—24no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—24no—
855C22⋊Q8—24no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859C22⋊Q8—42no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—48no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—48no—
874C4×Q8—44no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8#4118yes—
879C4×D4—24no—
880C4×D4—42no—
881C4×D4—42no—
882#117—28no—
883#117—28no—
884#117—44no—
885#117—44no—
886#117—44no—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
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—24no—
1000C2×C42C2412yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2511yescharacteristic
1137C24C2511yescharacteristic
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—28no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8C2×#4114yes—
1165C2×D4—22no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—28no—
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—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4C2×#4118yes—
1302C4⋊C4C2×#4114yes—
1303C4⋊C42−1+414yes—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—22no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—24no—
1337C42—24no—
1338C42—28no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—24no—
1343C42—28no—
1344C42—24no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—42no—
1352C42—41no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C42—41no—
1357C42—42no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42C2×#4114yes—
1370C42C2×#4118yes—
1371C422−1+414yes—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23C2611yescharacteristic
1387Q8—28no—
1388Q8—48no—
1389Q8—44no—
1390Q8—44no—
1391Q8—44no—
1392Q8—48no—
1393Q8—84no—
1394Q8—88no—
1395Q8—164no—
1396D4—44no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—82no—
1489C2×C4C22×#4114yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4112yes—
1493C2×C4C22×#4112yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+414yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4#58512yes—
1500C2×C4#58512yes—
1501C2×C4#58512yes—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22C23×#4111yescharacteristic
1517C22C22×2−1+411yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C22C2×#58511yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22C2×#58511yescharacteristic
1522C222−1+611yescharacteristic
1523C4—22no—
1524C4—22no—
1525C4—24no—
1526C4—22no—
1527C4—24no—
1528C4—24no—
1529C4—22no—
1530C4—42no—
1531C4—41no—
1532C4—42no—
1533C4—42no—
1534C4—44no—
1535C4—42no—
1536C4—42no—
1537C4—41no—
1538C4—44no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—41no—
1545C4—41no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—41no—
1551C4—44no—
1552C4—42no—
1553C4—42no—
1554C4#350714yes—
1555C4#351814yes—
1556C2—81no—
1557C2—81no—
1558C2#6276111yescharacteristic
1559C2C2×#350711yescharacteristic
1560C2C2×#351811yescharacteristic
1561C2#6294711yescharacteristic
1562C2#6296811yescharacteristic
1563C2#6299311yescharacteristic
1564C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59583C2semidirect
2. #59443C2semidirect
3. #59443C2semidirect
4. #59248C2semidirect
5. #59245C2semidirect
7. #49535C2semidirect
8. #45935C2semidirect
9. #45329C2semidirect
10. #45281C2semidirect
12. #45124C2semidirect
14. #42864C2semidirect
15. #42672C2semidirect
16. #42665C2semidirect
17. #40259C2semidirect
18. #39724C2semidirect
19. #39724C2semidirect
20. #39609C2semidirect
22. #39296C2semidirect
23. #39159C2semidirect
24. #36565C2semidirect
25. #36311C2semidirect
26. #36286C2semidirect
27. #36285C2semidirect
29. #35217C2semidirect
33. #34374C2semidirect
34. #34373C2semidirect
35. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#595832
#594432
#592482
#592452
#506332
#495352
#459352
#453292
#452812
#452252
#451242
#428962
#428642
#426722
#426652
#402592
#397242
#396092
#395012
#392962
#391592
#365652
#363112
#362862
#362852
#362092
#352172
#351832
#349292
#348982
#343742
#343732
C4×#5572