Finite Group Databasebeta

← #7677792

Subgroups — #7677792

Order 512.

4484 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59963C212yesmaximal, complemented
2#59653C211yesmaximal, characteristic, complemented
3#59489C212yesmaximal
4#59481C212yesmaximal, complemented
5#59467C211yesmaximal, characteristic, complemented
6#59443C211yesmaximal, characteristic, complemented
7#59437C211yesmaximal, characteristic, complemented
8#59434C212yesmaximal, complemented
9#59258C211yesmaximal, characteristic
10#59242C211yesmaximal, characteristic, complemented
11#59144C211yesmaximal, characteristic, complemented
12#59134C211yesmaximal, characteristic
13#45284C212yesmaximal, complemented
14#45185C212yesmaximal, complemented
15#45174C212yesmaximal, complemented
16#45127C212yesmaximal, complemented
17#43856C214yesmaximal, complemented
18#43813C214yesmaximal, complemented
19#40215C212yesmaximal, complemented
20#40200C212yesmaximal
21#40182C214yesmaximal, complemented
22#38875C214yesmaximal, complemented
23#36448C212yesmaximal, complemented
24#36421C212yesmaximal, complemented
25#35652C212yesmaximal, complemented
26#35641C212yesmaximal, complemented
27#35217C212yesmaximal, complemented
28#35184C211yesmaximal, characteristic, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34915C211yesmaximal, characteristic
31#34322C211yesmaximal, characteristic, complemented
32#34318C212yesmaximal, complemented
33#34216C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#552C2212yes—
39C2×#541C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41#2866C2214yes—
42#2863C2212yes—
43#2863C2214yes—
44#2861C2212yes—
45#2791C2214yes—
46#2788C2214yes—
47#2787C2214yes—
48#2787C2214yes—
49#2779C2214yes—
50#2777C2214yes—
51#2777C2214yes—
52#2776C2214yes—
53#2776C2214yes—
54#2775C2214yes—
55#2769C2214yes—
56#2767C2214yes—
57#2767C2214yes—
58#2758C2214yes—
59#2754C2214yes—
60#2741C2214yes—
61#2726C2214yes—
62#2725C2214yes—
63#2722C2214yes—
64#2719C2214yes—
65#2716C2214yes—
66#2713C2214yes—
67#2695C2214yes—
68#2695C2214yes—
69#2655C2214yes—
70#2654C2214yes—
71#2650C2214yes—
72#2612C2214yes—
73#2597C2212yes—
74#2596C2214yes—
75#2596C2212yes—
76#2595C2214yes—
77#2595C2212yes—
78#2594C2212yes—
79#2594C2214yes—
80#2594C2214yes—
81#2590C2214yes—
82#2590C2214yes—
83#2589C2214yes—
84#2588C2214yes—
85#2585C2214yes—
86#2585C2214yes—
87#2585C2214yes—
88#2582C2211yescharacteristic
89#2577C2214yes—
90#2577C2214yes—
91#2577C2214yes—
92#2574C2214yes—
93#2571C2212yes—
94#2570C2212yes—
95#2568C2211yescharacteristic
96#2568C2211yescharacteristic
97#2565C2212yes—
98#2565C2212yes—
99#2553C2214yes—
100#2552C2212yes—
101#2552C2211yescharacteristic
102#2552C2211yescharacteristic
103#2550C2212yes—
104#2547C2212yes—
105#2547C2211yescharacteristic
106#2546C2212yes—
107#2546C2211yescharacteristic
108#2545C2212yes—
109#2545C2212yes—
110#2538C2211yescharacteristic
111#2533C2214yes—
112#2533C2214yes—
113#2533C2214yes—
114#2532C2214yes—
115#2531C2214yes—
116#2530C2214yes—
117#2529C2214yes—
118#2528C2214yes—
119#2528C2214yes—
120#2525C2214yes—
121#2525C2214yes—
122#2524C2214yes—
123#2523C2214yes—
124#2522C2214yes—
125#2520C2214yes—
126#2519C2214yes—
127#2514C2212yes—
128#2514C2214yes—
129#2514C2214yes—
130#2514C2212yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2212yes—
134#2513C2211yescharacteristic
135#2511C2212yes—
136#2511C2214yes—
137#2511C2212yes—
138#2509C2211yescharacteristic
139#2509C2212yes—
140#2509C2212yes—
141#2507C2212yes—
142#2506C2212yes—
143#2499C2212yes—
144#2497C2214yes—
145#2496C2214yes—
146#2496C2212yes—
147#2495C2212yes—
148#2495C2214yes—
149#2495C2212yes—
150#2495C2212yes—
151#2494C2214yes—
152#2494C2212yes—
153#2494C2214yes—
154#2494C2211yescharacteristic
155#2492C2212yes—
156#2490C2211yescharacteristic
157#2489C2212yes—
158#2489C2212yes—
159#2485C2212yes—
160#2481C2214yes—
161#2475C2214yes—
162#2475C2214yes—
163#2473C2214yes—
164#2453C2212yes—
165#2453C2211yescharacteristic
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2451C2212yes—
170#2448C2212yes—
171#2448C2211yescharacteristic
172#2448C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2446C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2442C2212yes—
180#2442C2212yes—
181#2442C2212yes—
182#2441C2212yes—
183#2441C2214yes—
184#2439C2212yes—
185#2436C2212yes—
186#2434C2212yes—
187#2429C2212yes—
188#2426C2211yescharacteristic
189#2423C2212yes—
190#2422C2212yes—
191#2421C2211yescharacteristic
192#2421C2212yes—
193#2417C2212yes—
194#2402C2214yes—
195#2401C2212yes—
196#2395C2212yes—
197#2374C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2370C2214yes—
201#2370C2212yes—
202#2370C2214yes—
203#2370C2212yes—
204#2370C2212yes—
205#2369C2212yes—
206#2369C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2365C2211yescharacteristic
210#2365C2212yes—
211#2365C2212yes—
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2362C2212yes—
215#2360C2212yes—
216#2360C2212yes—
217#2356C2212yes—
218#2356C2212yes—
219#2355C2211yescharacteristic
220#2355C2211yescharacteristic
221#2355C2212yes—
222#2354C2212yes—
223#2352C2212yes—
224#2351C2212yes—
225#2351C2212yes—
226#2351C2212yes—
227Q8×C4⋊C4C2212yes—
228Q8×C4⋊C4C2211yescharacteristic
229D4×C4⋊C4C2211yescharacteristic
230#2347C2214yes—
231#2347C2212yes—
232#2346C2212yes—
233#2345C2212yes—
234#2345C2212yes—
235#2345C2212yes—
236Q8×C22⋊C4C2212yes—
237Q8×C22⋊C4C2212yes—
238Q8×C22⋊C4C2212yes—
239Q8×C22⋊C4C2212yes—
240#2336C2214yes—
241#2336C2212yes—
242#2336C2212yes—
243#2335C2214yes—
244#2334C2214yes—
245#2334C2212yes—
246#2334C2212yes—
247#2331C2212yes—
248#2331C2212yes—
249#2330C2211yescharacteristic
250#2327C2211yescharacteristic
251#2323C2211yescharacteristic
252#2323C2212yes—
253#2323C2212yes—
254#2323C2211yescharacteristic
255#2320C2211yescharacteristic
256#2320C2211yescharacteristic
257#2316C2212yes—
258#2314C2211yescharacteristic
259#2314C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2211yescharacteristic
271C4×#125C2211yescharacteristic
272C4×#125C2212yes—
273C4×#125C2214yes—
274C4×#126C2212yes—
275C4×#126C2214yes—
276C4×#126C2212yes—
277C4×#124C2211yescharacteristic
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2298C2214yes—
284#2298C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2285C2211yescharacteristic
291#2274C2212yes—
292#2274C2212yes—
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#557—28no—
301#556—28no—
302#552—216no—
303#541—28no—
304C2×C4⋊Q8—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2314yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C42C2311yescharacteristic
368#401C2314yes—
369#401C2312yes—
370#401C2314yes—
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2312yes—
399#399C2314yes—
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#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2312yes—
446#393C2314yes—
447#393C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#390C2312yes—
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#389C2312yes—
488#389C2312yes—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2314yes—
498#389C2314yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2311yescharacteristic
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
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#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2314yes—
680#383C2312yes—
681#383C2312yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#382C2314yes—
700#382C2311yescharacteristic
701#382C2314yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2314yes—
718#380C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8—28no—
816C22×Q8—44no—
817C22×Q8—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C4⋊Q8—28no—
833C4⋊Q8—24no—
834C4⋊Q8—28no—
835C4⋊Q8—28no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—44no—
839C4⋊Q8#4118yes—
840#126—216no—
841#126—28no—
842#126—28no—
843#126—216no—
844#125—24no—
845#125—28no—
846#125—28no—
847#125—216no—
848#125—28no—
849#125—216no—
850#125—28no—
851#125—42no—
852#125—44no—
853#124—28no—
854#124—42no—
855#124—44no—
856#123—216no—
857C22⋊Q8—28no—
858C22⋊Q8—24no—
859C22⋊Q8—28no—
860C22⋊Q8—42no—
861C22⋊Q8#4118yes—
862#121—42no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×D4—28no—
883C4×D4—24no—
884C4×D4—44no—
885#117—24no—
886#117—28no—
887#117—216no—
888#117—28no—
889#117—24no—
890#117—28no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—28no—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C42—24no—
1007C2×C42C2414yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C24C2511yescharacteristic
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—28no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—816no—
1163C2×Q8C2×#4114yes—
1164C2×Q8C2×#4118yes—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—28no—
1181C22×C4—28no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4C2×#4114yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—28no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4C2×#4114yes—
1300C4⋊C4C2×#4118yes—
1301C4⋊C4C2×#4118yes—
1302C4⋊C4C2×#4118yes—
1303C22⋊C4—28no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4C2×#4118yes—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—28no—
1338C42—22no—
1339C42—28no—
1340C42—28no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—28no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—41no—
1360C42—41no—
1361C42—42no—
1362C42—42no—
1363C42—42no—
1364C42—42no—
1365C42—41no—
1366C42—41no—
1367C42—42no—
1368C42—42no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—42no—
1373C42—44no—
1374C42—42no—
1375C42—44no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42C2×#4114yes—
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—28no—
1397Q8—216no—
1398Q8—44no—
1399Q8—44no—
1400Q8—48no—
1401Q8—88no—
1402D4—44no—
1403D4—84no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—28no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—44no—
1492C2×C4—48no—
1493C2×C4—44no—
1494C2×C4—88no—
1495C2×C4—88no—
1496C2×C4C22×#4112yes—
1497C2×C4C22×#4114yes—
1498C2×C4C22×#4118yes—
1499C2×C4C22×#4112yes—
1500C2×C4C22×#4114yes—
1501C2×C4C22×#4112yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4#58512yes—
1508C2×C4#58512yes—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22C23×#4111yescharacteristic
1524C22C23×#4111yescharacteristic
1525C22C22×2−1+411yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22C2×#58511yescharacteristic
1528C222−1+611yescharacteristic
1529C222−1+611yescharacteristic
1530C4—24no—
1531C4—28no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—24no—
1537C4—42no—
1538C4—41no—
1539C4—44no—
1540C4—41no—
1541C4—42no—
1542C4—41no—
1543C4—41no—
1544C4—44no—
1545C4—42no—
1546C4—41no—
1547C4—44no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4#348214yes—
1562C4#352114yes—
1563C2—42no—
1564C2—82no—
1565C2C2×#348211yescharacteristic
1566C2C2×#352111yescharacteristic
1567C2#6285011yescharacteristic
1568C2#6295611yescharacteristic
1569C2#6295611yescharacteristic
1570C2#6300711yescharacteristic
1571C2#6300911yescharacteristic
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. #59963C2semidirect
2. #59653C2semidirect
4. #59481C2semidirect
5. #59467C2semidirect
6. #59443C2semidirect
7. #59437C2semidirect
8. #59434C2semidirect
10. #59242C2semidirect
11. #59144C2semidirect
13. #45284C2semidirect
14. #45185C2semidirect
15. #45174C2semidirect
16. #45127C2semidirect
17. #43856C2semidirect
18. #43813C2semidirect
19. #40215C2semidirect
21. #40182C2semidirect
22. #38875C2semidirect
23. #36448C2semidirect
24. #36421C2semidirect
25. #35652C2semidirect
26. #35641C2semidirect
27. #35217C2semidirect
28. #35184C2semidirect
29. #34951C2semidirect
31. #34322C2semidirect
32. #34318C2semidirect
33. #34216C2semidirect
34. C4×#557C2semidirect
35. C4×#541C2semidirect

Maximal subgroups

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

subgroupindex
#599632
#596532
#594892
#594812
#594672
#594432
#594372
#594342
#592582
#592422
#591442
#591342
#452842
#451852
#451742
#451272
#438562
#438132
#402152
#402002
#401822
#388752
#364482
#364212
#356522
#356412
#352172
#351842
#349512
#349152
#343222
#343182
#342162
C4×#5572
C4×#5412