Finite Group Databasebeta

← #7987212

Subgroups — #7987212

Order 512.

4284 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59582C212yesmaximal, complemented
3#59329C211yesmaximal, characteristic, complemented
4#59309C212yesmaximal, complemented
5#59256C211yesmaximal, characteristic, complemented
6#49138C214yesmaximal, complemented
7#49134C214yesmaximal, complemented
8#46176C214yesmaximal, complemented
9#45288C212yesmaximal, complemented
10#45224C212yesmaximal
11#45221C212yesmaximal, complemented
12#45127C212yesmaximal, complemented
13#42948C212yesmaximal, complemented
14#42922C212yesmaximal, complemented
15#42776C212yesmaximal, complemented
16#42774C212yesmaximal, complemented
17#40248C214yesmaximal, complemented
18#39734C211yesmaximal, characteristic, complemented
19#39475C212yesmaximal, complemented
20#39286C212yesmaximal, complemented
21#39149C211yesmaximal, characteristic, complemented
22#38923C211yesmaximal, characteristic, complemented
23#38923C211yesmaximal, characteristic, complemented
24#36417C212yesmaximal, complemented
25#36408C212yesmaximal, complemented
26#36285C211yesmaximal, characteristic, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36165C211yesmaximal, characteristic, complemented
29#35339C212yesmaximal, complemented
30#35204C212yesmaximal, complemented
31#34932C211yesmaximal, characteristic
32#34898C211yesmaximal, characteristic, complemented
33#34384C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2865C2214yes—
40#2864C2214yes—
41#2864C2214yes—
42#2863C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2839C2214yes—
48#2836C2214yes—
49#2802C2214yes—
50#2796C2214yes—
51#2794C2214yes—
52#2794C2214yes—
53#2791C2214yes—
54#2787C2214yes—
55#2787C2214yes—
56#2787C2214yes—
57#2786C2214yes—
58#2779C2214yes—
59#2777C2214yes—
60#2776C2214yes—
61#2776C2214yes—
62#2770C2214yes—
63#2770C2214yes—
64#2770C2214yes—
65#2769C2214yes—
66#2766C2214yes—
67#2766C2214yes—
68#2761C2214yes—
69#2750C2214yes—
70#2747C2214yes—
71#2747C2214yes—
72#2747C2214yes—
73#2747C2214yes—
74#2746C2214yes—
75#2741C2214yes—
76#2739C2214yes—
77#2738C2214yes—
78#2722C2214yes—
79#2722C2214yes—
80#2695C2214yes—
81#2695C2214yes—
82#2667C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2654C2214yes—
86#2647C2214yes—
87#2647C2214yes—
88#2645C2212yes—
89#2625C2212yes—
90#2625C2212yes—
91#2621C2212yes—
92#2606C2214yes—
93#2597C2214yes—
94#2596C2214yes—
95#2590C2214yes—
96#2590C2214yes—
97#2590C2214yes—
98#2585C2214yes—
99#2582C2211yescharacteristic
100#2582C2211yescharacteristic
101#2577C2214yes—
102#2577C2212yes—
103#2576C2214yes—
104#2575C2212yes—
105#2573C2214yes—
106#2571C2211yescharacteristic
107#2571C2211yescharacteristic
108#2570C2211yescharacteristic
109#2570C2212yes—
110#2570C2212yes—
111#2570C2212yes—
112#2570C2212yes—
113#2570C2212yes—
114#2570C2212yes—
115#2570C2212yes—
116#2570C2212yes—
117#2569C2214yes—
118#2569C2214yes—
119#2569C2214yes—
120#2569C2214yes—
121#2569C2214yes—
122#2565C2211yescharacteristic
123#2565C2212yes—
124#2562C2211yescharacteristic
125#2553C2212yes—
126#2553C2212yes—
127#2552C2211yescharacteristic
128#2547C2212yes—
129#2547C2212yes—
130#2547C2211yescharacteristic
131#2546C2211yescharacteristic
132#2546C2211yescharacteristic
133#2546C2212yes—
134#2542C2211yescharacteristic
135#2537C2211yescharacteristic
136#2536C2211yescharacteristic
137#2533C2214yes—
138#2530C2214yes—
139#2530C2214yes—
140#2530C2214yes—
141#2529C2214yes—
142#2528C2214yes—
143#2528C2214yes—
144#2528C2214yes—
145#2526C2214yes—
146#2524C2214yes—
147#2524C2212yes—
148#2515C2214yes—
149#2514C2212yes—
150#2514C2212yes—
151#2511C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2510C2214yes—
156#2509C2212yes—
157#2509C2212yes—
158#2508C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2507C2212yes—
162#2507C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2505C2214yes—
166#2505C2214yes—
167#2503C2212yes—
168#2503C2212yes—
169#2499C2212yes—
170#2497C2212yes—
171#2497C2212yes—
172#2496C2211yescharacteristic
173#2496C2212yes—
174#2495C2212yes—
175#2495C2211yescharacteristic
176#2495C2214yes—
177#2494C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2489C2211yescharacteristic
181#2489C2211yescharacteristic
182#2487C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2214yes—
186#2484C2214yes—
187#2478C2214yes—
188#2476C2214yes—
189#2468C2212yes—
190#2468C2214yes—
191#2453C2212yes—
192#2453C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2444C2214yes—
197#2442C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2441C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2427C2211yescharacteristic
207#2427C2211yescharacteristic
208#2423C2211yescharacteristic
209#2423C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2421C2211yescharacteristic
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2402C2212yes—
218#2395C2212yes—
219#2395C2212yes—
220#2395C2212yes—
221#2383C2214yes—
222#2376C2214yes—
223#2373C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2362C2212yes—
232#2361C2212yes—
233#2360C2212yes—
234#2360C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2353C2214yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249#2349C2212yes—
250#2349C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254#2347C2212yes—
255#2346C2212yes—
256#2345C2212yes—
257#2344C2212yes—
258#2344C2212yes—
259#2334C2214yes—
260#2330C2212yes—
261#2327C2212yes—
262#2326C2212yes—
263#2324C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2322C2214yes—
267#2317C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2316C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#126C2212yes—
277C4×#126C2214yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2212yes—
285#2298C2214yes—
286#2298C2212yes—
287#2295C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293C2×#382C2212yes—
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#556—28no—
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304#529—28no—
305#529—28no—
306C2×#126C2314yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2314yes—
358C2×#117C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367#401C2314yes—
368#401C2314yes—
369#401C2314yes—
370#400C2312yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2312yes—
403#399C2312yes—
404#399C2314yes—
405#399C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#383C2314yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2312yes—
686#383C2314yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2314yes—
708#381C2314yes—
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C4⋊Q8—24no—
834C4⋊Q8—44no—
835C4⋊Q8—42no—
836C4⋊Q8—44no—
837#126—28no—
838#126—28no—
839#126—216no—
840#126—44no—
841#125—24no—
842#125—24no—
843#125—24no—
844#125—44no—
845#124—24no—
846#124—24no—
847#124—28no—
848#123—28no—
849#123—28no—
850C22⋊Q8—28no—
851C22⋊Q8—24no—
852C22⋊Q8—24no—
853C22⋊Q8—42no—
854C22⋊Q8—42no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C22⋊Q8—42no—
858C22⋊Q8—42no—
859#121—24no—
860#121—24no—
861#121—44no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—24no—
875C4×D4—44no—
876C4×D4—42no—
877C4×D4—42no—
878C4×D4—44no—
879C4×D4—42no—
880C4×D4—48no—
881C4×D4—42no—
882C4×D4#4118yes—
883#117—28no—
884#117—28no—
885#117—28no—
886#117—44no—
887#117—48no—
888#117—44no—
889#117—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4—44no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42—24no—
1015C2×C42—24no—
1016C2×C42—28no—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
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—22no—
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—22no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—22no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4C2×#4114yes—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—28no—
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—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—41no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4C2×#4118yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4C2×#4114yes—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—41no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4C2×#4118yes—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—28no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—41no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—41no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C42—42no—
1389C42C2×#4114yes—
1390C422−1+414yes—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23C22×#4114yes—
1411C23#58512yes—
1412C23C2611yescharacteristic
1413Q8—44no—
1414Q8—44no—
1415Q8—48no—
1416Q8—44no—
1417D4—28no—
1418D4—44no—
1419D4—48no—
1420D4—84no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—216no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
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—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—82no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—88no—
1517C2×C4—164no—
1518C2×C4—164no—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4114yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4C2×2−1+412yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4#58512yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C22—22no—
1530C22—24no—
1531C22—22no—
1532C22—22no—
1533C22—24no—
1534C22—24no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22C23×#4111yescharacteristic
1551C22C22×2−1+411yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22C2×#58511yescharacteristic
1556C222−1+611yescharacteristic
1557C4—22no—
1558C4—22no—
1559C4—24no—
1560C4—22no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—44no—
1571C4—44no—
1572C4—42no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—41no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—41no—
1585C4—44no—
1586C4—42no—
1587C4#351214yes—
1588C4#351514yes—
1589C2—42no—
1590C2—44no—
1591C2—81no—
1592C2#6275211yescharacteristic
1593C2C2×#351511yescharacteristic
1594C2C2×#351211yescharacteristic
1595C2#6295911yescharacteristic
1596C2#6296811yescharacteristic
1597C2#6299311yescharacteristic
1598C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59681C2semidirect
2. #59582C2semidirect
3. #59329C2semidirect
4. #59309C2semidirect
5. #59256C2semidirect
6. #49138C2semidirect
7. #49134C2semidirect
8. #46176C2semidirect
9. #45288C2semidirect
11. #45221C2semidirect
12. #45127C2semidirect
13. #42948C2semidirect
14. #42922C2semidirect
15. #42776C2semidirect
16. #42774C2semidirect
17. #40248C2semidirect
18. #39734C2semidirect
19. #39475C2semidirect
20. #39286C2semidirect
21. #39149C2semidirect
22. #38923C2semidirect
23. #38923C2semidirect
24. #36417C2semidirect
25. #36408C2semidirect
26. #36285C2semidirect
27. #36189C2semidirect
28. #36165C2semidirect
29. #35339C2semidirect
30. #35204C2semidirect
32. #34898C2semidirect
33. #34384C2semidirect
34. #34383C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#595822
#593292
#593092
#592562
#491382
#491342
#461762
#452882
#452242
#452212
#451272
#429482
#429222
#427762
#427742
#402482
#397342
#394752
#392862
#391492
#389232
#364172
#364082
#362852
#361892
#361652
#353392
#352042
#349322
#348982
#343842
#343832
C4×#5562