Finite Group Databasebeta

← #7647861

Subgroups — #7647861

Order 512.

4240 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42184C214yesmaximal, complemented
2#42183C214yesmaximal, complemented
3#40637C214yesmaximal, complemented
4#40630C214yesmaximal, complemented
5#39750C212yesmaximal, complemented
6#39493C212yesmaximal, complemented
7#39176C212yesmaximal, complemented
8#38961C212yesmaximal, complemented
9#38106C212yesmaximal, complemented
10#38105C212yesmaximal, complemented
11#37879C212yesmaximal, complemented
12#37878C212yesmaximal, complemented
13#37642C211yesmaximal, characteristic, complemented
14#37624C211yesmaximal, characteristic, complemented
15#37624C211yesmaximal, characteristic, complemented
16#37623C211yesmaximal, characteristic, complemented
17#37429C212yesmaximal, complemented
18#37426C212yesmaximal
19#37314C212yesmaximal, complemented
20#37310C212yesmaximal
21#35641C212yesmaximal, complemented
22#35577C212yesmaximal, complemented
23#35337C212yesmaximal, complemented
24#35286C211yesmaximal, characteristic, complemented
25#35282C212yesmaximal, complemented
26#35239C211yesmaximal, characteristic, complemented
27#35239C211yesmaximal, characteristic, complemented
28#35192C211yesmaximal, characteristic, complemented
29#35192C211yesmaximal, characteristic, complemented
30#35181C211yesmaximal, characteristic, complemented
31#34978C211yesmaximal, characteristic, complemented
32#34948C211yesmaximal, characteristic, complemented
33#34188C211yesmaximal, characteristic
34#34121C211yesmaximal, characteristic
35#34060C211yesmaximal, characteristic
36C2×C4×#41C2211yescharacteristic
37#2864C2212yes—
38#2864C2212yes—
39#2862C2212yes—
40#2862C2212yes—
41#2859C2212yes—
42#2859C2212yes—
43#2857C2212yes—
44#2857C2212yes—
45#2851C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2844C2214yes—
50#2843C2214yes—
51#2841C2214yes—
52#2841C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2805C2214yes—
56#2804C2214yes—
57#2804C2214yes—
58#2802C2214yes—
59#2799C2214yes—
60#2799C2214yes—
61#2799C2214yes—
62#2791C2214yes—
63#2790C2214yes—
64#2788C2214yes—
65#2788C2214yes—
66#2784C2214yes—
67#2784C2214yes—
68#2784C2214yes—
69#2780C2214yes—
70#2780C2214yes—
71#2774C2214yes—
72#2768C2214yes—
73#2763C2214yes—
74#2755C2214yes—
75#2755C2214yes—
76#2748C2214yes—
77#2748C2214yes—
78#2742C2214yes—
79#2732C2214yes—
80#2729C2214yes—
81#2713C2214yes—
82#2704C2214yes—
83#2692C2214yes—
84#2692C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2665C2214yes—
90#2665C2214yes—
91#2660C2212yes—
92#2660C2212yes—
93#2660C2212yes—
94#2660C2212yes—
95#2647C2212yes—
96#2647C2212yes—
97#2647C2212yes—
98#2647C2212yes—
99#2647C2214yes—
100#2646C2214yes—
101#2629C2212yes—
102#2629C2212yes—
103#2628C2212yes—
104#2628C2212yes—
105#2628C2212yes—
106#2628C2212yes—
107#2628C2212yes—
108#2628C2214yes—
109#2628C2212yes—
110#2627C2214yes—
111#2612C2214yes—
112#2605C2214yes—
113#2605C2214yes—
114#2590C2214yes—
115#2589C2214yes—
116#2589C2214yes—
117#2589C2214yes—
118#2589C2214yes—
119#2589C2214yes—
120#2588C2214yes—
121#2588C2214yes—
122#2588C2214yes—
123#2588C2214yes—
124#2588C2214yes—
125#2587C2214yes—
126#2586C2214yes—
127#2586C2214yes—
128#2585C2214yes—
129#2585C2214yes—
130#2574C2214yes—
131#2574C2214yes—
132#2574C2214yes—
133#2571C2212yes—
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2571C2211yescharacteristic
137#2571C2212yes—
138#2571C2211yescharacteristic
139#2571C2211yescharacteristic
140#2571C2212yes—
141#2571C2211yescharacteristic
142#2571C2211yescharacteristic
143#2570C2212yes—
144#2570C2212yes—
145#2570C2212yes—
146#2570C2212yes—
147#2570C2212yes—
148#2570C2212yes—
149#2570C2212yes—
150#2570C2212yes—
151#2570C2214yes—
152#2569C2214yes—
153#2556C2214yes—
154#2552C2212yes—
155#2552C2212yes—
156#2552C2211yescharacteristic
157#2552C2211yescharacteristic
158#2552C2211yescharacteristic
159#2552C2211yescharacteristic
160#2552C2211yescharacteristic
161#2552C2211yescharacteristic
162#2551C2212yes—
163#2551C2211yescharacteristic
164#2551C2211yescharacteristic
165#2551C2212yes—
166#2551C2211yescharacteristic
167#2551C2211yescharacteristic
168#2550C2212yes—
169#2550C2212yes—
170#2550C2212yes—
171#2550C2212yes—
172#2522C2214yes—
173#2522C2214yes—
174#2520C2214yes—
175#2520C2214yes—
176#2520C2214yes—
177#2511C2214yes—
178#2497C2214yes—
179#2492C2214yes—
180#2465C2214yes—
181#2465C2214yes—
182#2462C2214yes—
183#2446C2214yes—
184#2442C2212yes—
185#2442C2212yes—
186#2442C2212yes—
187#2442C2212yes—
188#2442C2212yes—
189#2442C2212yes—
190#2442C2212yes—
191#2442C2212yes—
192#2442C2214yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2440C2212yes—
198#2440C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2439C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2438C2214yes—
214#2438C2214yes—
215#2402C2214yes—
216#2396C2214yes—
217#2357C2212yes—
218#2356C2212yes—
219#2355C2211yescharacteristic
220#2355C2212yes—
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2212yes—
226#2354C2212yes—
227#2353C2212yes—
228#2353C2212yes—
229#2352C2211yescharacteristic
230#2352C2212yes—
231#2352C2211yescharacteristic
232#2352C2211yescharacteristic
233#2352C2211yescharacteristic
234#2352C2212yes—
235#2352C2212yes—
236#2352C2212yes—
237#2331C2212yes—
238#2331C2212yes—
239#2331C2212yes—
240#2331C2212yes—
241#2331C2212yes—
242#2331C2212yes—
243#2330C2212yes—
244#2330C2212yes—
245#2320C2212yes—
246#2319C2212yes—
247#2318C2212yes—
248#2318C2212yes—
249#2317C2211yescharacteristic
250#2317C2211yescharacteristic
251#2317C2212yes—
252#2317C2212yes—
253#2317C2212yes—
254#2316C2212yes—
255#2314C2211yescharacteristic
256#2314C2212yes—
257#2314C2211yescharacteristic
258#2314C2211yescharacteristic
259#2314C2211yescharacteristic
260#2314C2212yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270#2298C2212yes—
271#2298C2212yes—
272#2297C2212yes—
273#2296C2212yes—
274#2295C2212yes—
275#2293C2212yes—
276#2290C2212yes—
277#2290C2212yes—
278#2285C2211yescharacteristic
279#2285C2211yescharacteristic
280#2285C2211yescharacteristic
281#2285C2211yescharacteristic
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2285C2212yes—
286#2285C2211yescharacteristic
287C2×#384C2211yescharacteristic
288#2283C2211yescharacteristic
289#2283C2211yescharacteristic
290#2283C2211yescharacteristic
291#2283C2211yescharacteristic
292#2274C2212yes—
293C4×#117C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C4×#41Q8116yescomplemented
320C2×C4×Q8C2314yes—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2312yes—
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2311yescharacteristic
335C2×#117C2312yes—
336C2×#117C2312yes—
337C2×#117C2311yescharacteristic
338C2×#117C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C42C2312yes—
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
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#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2312yes—
623#386C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2312yes—
628#385C2312yes—
629#385C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#384C2312yes—
643#384C2312yes—
644#384C2312yes—
645#384C2311yescharacteristic
646#384C2311yescharacteristic
647#384C2311yescharacteristic
648#384C2311yescharacteristic
649#384C2312yes—
650#384C2312yes—
651#384C2312yes—
652#384C2314yes—
653#384C2312yes—
654#384C2311yescharacteristic
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2311yescharacteristic
662#383C2312yes—
663#383C2312yes—
664#383C2312yes—
665#383C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2312yes—
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2311yescharacteristic
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2314yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2311yescharacteristic
697#381C2312yes—
698#381C2312yes—
699#381C2312yes—
700#381C2312yes—
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C43C2312yes—
809C43C2312yes—
810C43C2312yes—
811C2×#41—42no—
812C2×#41—42no—
813C2×#41C2×Q818yes—
814C22×Q8C2414yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×Q8C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—84no—
845#125—44no—
846#125—44no—
847#125—44no—
848#125—44no—
849#125—44no—
850#125—44no—
851#125—84no—
852C22⋊Q8—84no—
853C22⋊Q8—84no—
854C22⋊Q8—84no—
855C4×Q8—84no—
856C4×Q8C2×Q818yes—
857C4×Q8C2×Q818yes—
858C4×D4C2×Q818yes—
859C4×D4C2×Q818yes—
860C4×D4C2×Q818yes—
861C4×D4C2×Q818yes—
862C4×D4C2×Q818yes—
863C4×D4C2×Q818yes—
864#117—44no—
865#117—44no—
866#117—44no—
867#117—42no—
868#117—42no—
869#117—42no—
870#117—42no—
871#117—44no—
872#117—44no—
873#117—42no—
874#117—44no—
875#117—42no—
876#117—82no—
877#117—82no—
878#117C2×Q818yes—
879#117C2×Q818yes—
880#117C2×Q818yes—
881C2×C4⋊C4—42no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—42no—
887C2×C4⋊C4—82no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C42—44no—
1005C2×C42—44no—
1006C2×C42C2×Q818yes—
1007C2×C42C2×Q818yes—
1008C2×C42C2×Q818yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24C2511yescharacteristic
1135C24C2511yescharacteristic
1136C24C2511yescharacteristic
1137#41—416no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8C22×Q814yes—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4C22×Q814yes—
1160C2×D4C22×Q814yes—
1161C2×D4C22×Q814yes—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4C22×Q814yes—
1196C22×C4C22×Q814yes—
1197C22×C4C22×Q814yes—
1198C22×C4C22×Q814yes—
1199C22×C4C22×Q814yes—
1200C22×C4C22×Q814yes—
1201C22×C4C22×Q814yes—
1202C22×C4C22×Q814yes—
1203C22×C4C22×Q814yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4C22×Q814yes—
1316C4⋊C4C22×Q814yes—
1317C4⋊C4C22×Q814yes—
1318C4⋊C4C22×Q814yes—
1319C4⋊C4C22×Q814yes—
1320C4⋊C4C22×Q814yes—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4C22×Q814yes—
1347C22⋊C4C22×Q814yes—
1348C22⋊C4C22×Q814yes—
1349C22⋊C4C22×Q814yes—
1350C22⋊C4C22×Q814yes—
1351C22⋊C4C22×Q814yes—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—42no—
1361C42—42no—
1362C42—42no—
1363C42—42no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C42—42no—
1381C42C22×Q814yes—
1382C42C22×Q814yes—
1383C42C22×Q814yes—
1384C42C22×Q814yes—
1385C42C22×Q814yes—
1386C42C22×Q814yes—
1387C42C22×Q814yes—
1388C42C22×Q814yes—
1389C42C22×Q814yes—
1390C42C22×Q814yes—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23C23×Q812yes—
1410C23C23×Q812yes—
1411C23C23×Q812yes—
1412C23C2611yescharacteristic
1413Q8—44no—
1414Q8—88no—
1415Q8—164no—
1416Q8—164no—
1417Q8—164no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—28no—
1442C2×C4—28no—
1443C2×C4—28no—
1444C2×C4—28no—
1445C2×C4—28no—
1446C2×C4—28no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—84no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4—164no—
1515C2×C4C23×Q812yes—
1516C2×C4C23×Q812yes—
1517C2×C4C23×Q812yes—
1518C2×C4C23×Q812yes—
1519C2×C4C23×Q812yes—
1520C2×C4C23×Q812yes—
1521C2×C4C23×Q812yes—
1522C2×C4C23×Q812yes—
1523C2×C4C23×Q812yes—
1524C2×C4C23×Q812yes—
1525C2×C4C23×Q812yes—
1526C2×C4C23×Q812yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C2×C4#58512yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22C24×Q811yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22H(7,𝔽2)11yescharacteristic
1558C222−1+611yescharacteristic
1559C4—22no—
1560C4—22no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—44no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—44no—
1583C4—44no—
1584C4—42no—
1585C4—42no—
1586C4—44no—
1587C4—42no—
1588C4—42no—
1589C4#345814yes—
1590C4#350414yes—
1591C2—42no—
1592C2—42no—
1593C2—42no—
1594C2C2×#345811yescharacteristic
1595C2C2×#350411yescharacteristic
1596C2#6285411yescharacteristic
1597C2#6293611yescharacteristic
1598C2#6293811yescharacteristic
1599C2#6296611yescharacteristic
1600C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42184C2semidirect
2. #42183C2semidirect
3. #40637C2semidirect
4. #40630C2semidirect
5. #39750C2semidirect
6. #39493C2semidirect
7. #39176C2semidirect
8. #38961C2semidirect
9. #38106C2semidirect
10. #38105C2semidirect
11. #37879C2semidirect
12. #37878C2semidirect
13. #37642C2semidirect
14. #37624C2semidirect
15. #37624C2semidirect
16. #37623C2semidirect
17. #37429C2semidirect
19. #37314C2semidirect
21. #35641C2semidirect
22. #35577C2semidirect
23. #35337C2semidirect
24. #35286C2semidirect
25. #35282C2semidirect
26. #35239C2semidirect
27. #35239C2semidirect
28. #35192C2semidirect
29. #35192C2semidirect
30. #35181C2semidirect
31. #34978C2semidirect
32. #34948C2semidirect
319. C4×#41Q8semidirect

Maximal subgroups

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

subgroupindex
#421842
#421832
#406372
#406302
#397502
#394932
#391762
#389612
#381062
#381052
#378792
#378782
#376422
#376242
#376232
#374292
#374262
#373142
#373102
#356412
#355772
#353372
#352862
#352822
#352392
#351922
#351812
#349782
#349482
#341882
#341212
#340602