Finite Group Databasebeta

← #7987472

Subgroups — #7987472

Order 512.

4253 conjugacy classes of subgroups.

The subgroup lattice has 1597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59692C212yesmaximal, complemented
2#59434C211yesmaximal, characteristic, complemented
3#59432C212yesmaximal, complemented
4#59259C211yesmaximal, characteristic, complemented
5#59211C211yesmaximal, characteristic, complemented
6#51312C214yesmaximal, complemented
7#50989C214yesmaximal, complemented
8#46065C214yesmaximal, complemented
9#45348C212yesmaximal, complemented
10#45297C212yesmaximal, complemented
11#45273C212yesmaximal, complemented
12#45156C212yesmaximal, complemented
13#42769C212yesmaximal
14#42765C212yesmaximal, complemented
15#42662C212yesmaximal, complemented
16#42657C212yesmaximal, complemented
17#40209C214yesmaximal, complemented
18#39734C211yesmaximal, characteristic, complemented
19#39599C211yesmaximal, characteristic, complemented
20#39546C212yesmaximal, complemented
21#39283C212yesmaximal, complemented
22#39146C211yesmaximal, characteristic, complemented
23#39127C211yesmaximal, characteristic, complemented
24#36590C212yesmaximal, complemented
25#36491C212yesmaximal, complemented
26#36447C211yesmaximal, characteristic, complemented
27#36299C211yesmaximal, characteristic, complemented
28#36210C211yesmaximal, characteristic, complemented
29#35194C212yesmaximal, complemented
30#35183C212yesmaximal, complemented
31#34919C211yesmaximal, characteristic
32#34898C211yesmaximal, characteristic, complemented
33#34383C211yesmaximal, characteristic, complemented
34#34373C211yesmaximal, characteristic, complemented
35C4×#557C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2863C2212yes—
42#2861C2214yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2833C2214yes—
48#2829C2214yes—
49#2802C2214yes—
50#2801C2214yes—
51#2801C2214yes—
52#2795C2214yes—
53#2793C2214yes—
54#2790C2214yes—
55#2783C2214yes—
56#2779C2214yes—
57#2777C2214yes—
58#2777C2214yes—
59#2777C2214yes—
60#2776C2214yes—
61#2772C2214yes—
62#2772C2214yes—
63#2770C2214yes—
64#2768C2214yes—
65#2768C2214yes—
66#2766C2214yes—
67#2766C2214yes—
68#2766C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2761C2214yes—
72#2758C2214yes—
73#2755C2214yes—
74#2753C2214yes—
75#2747C2214yes—
76#2746C2214yes—
77#2740C2214yes—
78#2726C2214yes—
79#2725C2214yes—
80#2707C2214yes—
81#2704C2214yes—
82#2655C2214yes—
83#2655C2214yes—
84#2654C2214yes—
85#2651C2214yes—
86#2651C2214yes—
87#2650C2214yes—
88#2645C2212yes—
89#2629C2212yes—
90#2629C2212yes—
91#2621C2212yes—
92#2601C2214yes—
93#2597C2214yes—
94#2596C2214yes—
95#2596C2214yes—
96#2596C2214yes—
97#2594C2214yes—
98#2594C2214yes—
99#2594C2214yes—
100#2594C2214yes—
101#2593C2214yes—
102#2590C2214yes—
103#2590C2214yes—
104#2589C2214yes—
105#2587C2214yes—
106#2585C2214yes—
107#2585C2214yes—
108#2584C2212yes—
109#2582C2211yescharacteristic
110#2582C2212yes—
111#2577C2212yes—
112#2575C2212yes—
113#2573C2214yes—
114#2571C2211yescharacteristic
115#2571C2212yes—
116#2570C2212yes—
117#2570C2212yes—
118#2570C2211yescharacteristic
119#2565C2211yescharacteristic
120#2565C2212yes—
121#2562C2212yes—
122#2562C2211yescharacteristic
123#2562C2212yes—
124#2562C2212yes—
125#2560C2212yes—
126#2558C2212yes—
127#2552C2211yescharacteristic
128#2552C2212yes—
129#2550C2211yescharacteristic
130#2547C2211yescharacteristic
131#2546C2211yescharacteristic
132#2546C2212yes—
133#2545C2212yes—
134#2545C2212yes—
135#2545C2211yescharacteristic
136#2540C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2212yes—
139#2536C2211yescharacteristic
140#2536C2212yes—
141#2536C2211yescharacteristic
142#2525C2214yes—
143#2525C2214yes—
144#2525C2214yes—
145#2525C2214yes—
146#2525C2214yes—
147#2524C2212yes—
148#2524C2214yes—
149#2524C2214yes—
150#2522C2214yes—
151#2519C2212yes—
152#2519C2214yes—
153#2518C2214yes—
154#2515C2214yes—
155#2514C2212yes—
156#2514C2212yes—
157#2514C2214yes—
158#2514C2212yes—
159#2513C2214yes—
160#2513C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2508C2212yes—
164#2508C2214yes—
165#2508C2212yes—
166#2507C2212yes—
167#2507C2214yes—
168#2507C2212yes—
169#2506C2214yes—
170#2506C2212yes—
171#2500C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2496C2211yescharacteristic
175#2495C2211yescharacteristic
176#2495C2212yes—
177#2495C2212yes—
178#2495C2212yes—
179#2495C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2494C2212yes—
183#2494C2212yes—
184#2494C2212yes—
185#2491C2211yescharacteristic
186#2489C2211yescharacteristic
187#2487C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2475C2214yes—
191#2475C2214yes—
192#2474C2214yes—
193#2468C2212yes—
194#2461C2212yes—
195#2453C2212yes—
196#2451C2212yes—
197#2448C2212yes—
198#2447C2212yes—
199#2446C2212yes—
200#2442C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2211yescharacteristic
207#2427C2212yes—
208#2426C2212yes—
209#2426C2211yescharacteristic
210#2423C2212yes—
211#2423C2212yes—
212#2423C2211yescharacteristic
213#2421C2211yescharacteristic
214#2421C2212yes—
215#2421C2212yes—
216#2415C2212yes—
217#2402C2212yes—
218#2396C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2378C2214yes—
222#2376C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2214yes—
226#2370C2212yes—
227#2367C2212yes—
228#2365C2212yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2362C2212yes—
232#2362C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2360C2212yes—
237#2355C2212yes—
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2212yes—
242#2355C2212yes—
243#2354C2211yescharacteristic
244#2354C2212yes—
245#2352C2212yes—
246#2351C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2347C2214yes—
255#2347C2212yes—
256#2347C2212yes—
257#2347C2212yes—
258#2344C2212yes—
259#2336C2214yes—
260#2334C2214yes—
261#2331C2212yes—
262#2327C2212yes—
263#2326C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#125C2214yes—
276C4×#125C2214yes—
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#125C2211yescharacteristic
280C4×#126C2212yes—
281C4×#124C2212yes—
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×Q8C2212yes—
298C42×D4C2211yescharacteristic
299#557—28no—
300#533—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306#529—28no—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2314yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367#401C2314yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#399C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#396C2314yes—
455#395C2312yes—
456#395C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#393C2312yes—
468#392C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2314yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#389C2311yescharacteristic
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2314yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
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#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2314yes—
689#383C2312yes—
690#383C2314yes—
691#383C2312yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2311yescharacteristic
713#381C2314yes—
714#381C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2314yes—
737#380C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C4⋊Q8—24no—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—44no—
835#126—28no—
836#126—44no—
837#125—24no—
838#125—28no—
839#125—216no—
840#125—28no—
841#125—44no—
842#125—42no—
843#125—44no—
844#125—48no—
845#124—24no—
846#124—44no—
847#124—42no—
848#124—44no—
849#123—28no—
850C22⋊Q8—24no—
851C22⋊Q8—24no—
852C22⋊Q8—24no—
853C22⋊Q8—28no—
854C22⋊Q8—24no—
855C22⋊Q8—24no—
856C22⋊Q8—28no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—42no—
860#121—24no—
861#121—42no—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×Q8—42no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8#4118yes—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—42no—
881C4×D4—44no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—42no—
885#117—28no—
886#117—28no—
887#117—44no—
888#117—48no—
889#117—44no—
890#117—44no—
891#117—44no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C42—24no—
1018C2×C42—24no—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2511yescharacteristic
1142C24C2512yes—
1143C24C2511yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8C2×#4114yes—
1158C2×Q82−1+414yes—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
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—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—44no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—44no—
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—44no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—41no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4C2×#4114yes—
1308C4⋊C4C2×#4118yes—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—44no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—41no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—28no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—24no—
1371C42—24no—
1372C42—44no—
1373C42—42no—
1374C42—41no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42—44no—
1382C42—42no—
1383C42—44no—
1384C42—44no—
1385C42—42no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42C2×#4114yes—
1390C42C2×#4118yes—
1391C23—21no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—21no—
1409C23—22no—
1410C23—21no—
1411C23—21no—
1412C23C2611yescharacteristic
1413Q8—28no—
1414Q8—28no—
1415Q8—44no—
1416Q8—48no—
1417Q8—84no—
1418D4—44no—
1419D4—44no—
1420D4—84no—
1421D4—84no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—82no—
1513C2×C4—82no—
1514C2×C4—88no—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4114yes—
1517C2×C4C22×#4114yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C2×2−1+414yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4#58512yes—
1523C2×C4#58512yes—
1524C2×C4#58512yes—
1525C2×C4#58512yes—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—41no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—41no—
1542C22—41no—
1543C22—42no—
1544C22—41no—
1545C22—42no—
1546C22—41no—
1547C22C23×#4111yescharacteristic
1548C22C22×2−1+411yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22C2×#58511yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C222−1+611yescharacteristic
1554C4—22no—
1555C4—24no—
1556C4—22no—
1557C4—24no—
1558C4—24no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—44no—
1566C4—42no—
1567C4—41no—
1568C4—42no—
1569C4—44no—
1570C4—41no—
1571C4—41no—
1572C4—42no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—44no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4—42no—
1582C4—44no—
1583C4—42no—
1584C4#351214yes—
1585C4#351614yes—
1586C2—81no—
1587C2—81no—
1588C2—82no—
1589C2#6276211yescharacteristic
1590C2C2×#351611yescharacteristic
1591C2C2×#351211yescharacteristic
1592C2#6295311yescharacteristic
1593C2#6296711yescharacteristic
1594C2#6300911yescharacteristic
1595C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2540C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59692C2semidirect
2. #59434C2semidirect
3. #59432C2semidirect
4. #59259C2semidirect
5. #59211C2semidirect
6. #51312C2semidirect
7. #50989C2semidirect
8. #46065C2semidirect
9. #45348C2semidirect
10. #45297C2semidirect
11. #45273C2semidirect
12. #45156C2semidirect
14. #42765C2semidirect
15. #42662C2semidirect
16. #42657C2semidirect
17. #40209C2semidirect
18. #39734C2semidirect
19. #39599C2semidirect
20. #39546C2semidirect
21. #39283C2semidirect
22. #39146C2semidirect
23. #39127C2semidirect
24. #36590C2semidirect
25. #36491C2semidirect
26. #36447C2semidirect
27. #36299C2semidirect
28. #36210C2semidirect
29. #35194C2semidirect
30. #35183C2semidirect
32. #34898C2semidirect
33. #34383C2semidirect
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
#596922
#594342
#594322
#592592
#592112
#513122
#509892
#460652
#453482
#452972
#452732
#451562
#427692
#427652
#426622
#426572
#402092
#397342
#395992
#395462
#392832
#391462
#391272
#365902
#364912
#364472
#362992
#362102
#351942
#351832
#349192
#348982
#343832
#343732
C4×#5572