Finite Group Databasebeta

← #7646513

Subgroups — #7646513

Order 512.

4520 conjugacy classes of subgroups.

The subgroup lattice has 1599 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42954C212yesmaximal
2#42933C212yesmaximal, complemented
3#42932C212yesmaximal, complemented
4#42931C212yesmaximal
5#42008C214yesmaximal, complemented
6#42007C214yesmaximal, complemented
7#39626C211yesmaximal, characteristic, complemented
8#39625C211yesmaximal, characteristic, complemented
9#39370C211yesmaximal, characteristic, complemented
10#39369C211yesmaximal, characteristic, complemented
11#39183C211yesmaximal, characteristic, complemented
12#39181C211yesmaximal, characteristic, complemented
13#38967C211yesmaximal, characteristic, complemented
14#38965C211yesmaximal, characteristic, complemented
15#38107C212yesmaximal, complemented
16#38105C212yesmaximal, complemented
17#37691C212yesmaximal, complemented
18#37690C212yesmaximal, complemented
19#37567C212yesmaximal, complemented
20#37565C212yesmaximal, complemented
21#36754C214yesmaximal, complemented
22#36753C214yesmaximal, complemented
23#35583C212yesmaximal, complemented
24#35582C212yesmaximal, complemented
25#35294C211yesmaximal, characteristic, complemented
26#35239C211yesmaximal, characteristic, complemented
27#35235C212yesmaximal, complemented
28#35177C212yesmaximal, complemented
29#35176C212yesmaximal, complemented
30#35167C212yesmaximal, complemented
31#34938C211yesmaximal, characteristic, complemented
32#34912C211yesmaximal, characteristic, complemented
33#34193C211yesmaximal, characteristic
34#34127C211yesmaximal, characteristic
35#34060C211yesmaximal, characteristic
36C2×#544C2212yes—
37C2×#544C2212yes—
38C2×#533C2212yes—
39C2×C4×#41C2211yescharacteristic
40#2868C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2857C2212yes—
45#2857C2214yes—
46#2857C2214yes—
47#2855C2214yes—
48#2855C2214yes—
49#2851C2212yes—
50#2843C2214yes—
51#2843C2214yes—
52#2841C2214yes—
53#2841C2214yes—
54#2807C2214yes—
55#2806C2214yes—
56#2802C2214yes—
57#2792C2214yes—
58#2792C2214yes—
59#2791C2214yes—
60#2790C2214yes—
61#2788C2214yes—
62#2788C2214yes—
63#2784C2214yes—
64#2780C2214yes—
65#2774C2214yes—
66#2768C2214yes—
67#2748C2214yes—
68#2742C2214yes—
69#2734C2214yes—
70#2732C2214yes—
71#2729C2214yes—
72#2729C2214yes—
73#2729C2214yes—
74#2720C2214yes—
75#2720C2214yes—
76#2713C2214yes—
77#2704C2214yes—
78#2704C2214yes—
79#2704C2214yes—
80#2692C2214yes—
81#2692C2214yes—
82#2692C2214yes—
83#2683C2214yes—
84#2677C2214yes—
85#2677C2214yes—
86#2667C2214yes—
87#2667C2214yes—
88#2667C2214yes—
89#2666C2214yes—
90#2666C2214yes—
91#2666C2214yes—
92#2666C2214yes—
93#2666C2214yes—
94#2665C2214yes—
95#2665C2214yes—
96#2665C2214yes—
97#2660C2212yes—
98#2660C2212yes—
99#2659C2214yes—
100#2659C2214yes—
101#2647C2212yes—
102#2647C2212yes—
103#2629C2212yes—
104#2629C2212yes—
105#2629C2212yes—
106#2628C2212yes—
107#2628C2212yes—
108#2628C2212yes—
109#2612C2214yes—
110#2612C2214yes—
111#2608C2212yes—
112#2607C2212yes—
113#2606C2212yes—
114#2606C2214yes—
115#2606C2214yes—
116#2605C2212yes—
117#2605C2214yes—
118#2605C2214yes—
119#2590C2214yes—
120#2588C2214yes—
121#2586C2214yes—
122#2585C2214yes—
123#2584C2212yes—
124#2582C2212yes—
125#2581C2212yes—
126#2571C2211yescharacteristic
127#2570C2212yes—
128#2570C2212yes—
129#2570C2212yes—
130#2570C2211yescharacteristic
131#2570C2211yescharacteristic
132#2570C2212yes—
133#2570C2212yes—
134#2569C2214yes—
135#2567C2212yes—
136#2567C2212yes—
137#2565C2212yes—
138#2563C2212yes—
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2552C2214yes—
144#2552C2211yescharacteristic
145#2552C2212yes—
146#2552C2211yescharacteristic
147#2551C2212yes—
148#2551C2211yescharacteristic
149#2551C2214yes—
150#2551C2211yescharacteristic
151#2551C2212yes—
152#2551C2212yes—
153#2551C2211yescharacteristic
154#2551C2212yes—
155#2550C2212yes—
156#2550C2212yes—
157#2550C2212yes—
158#2550C2212yes—
159#2550C2211yescharacteristic
160#2550C2212yes—
161#2550C2214yes—
162#2550C2214yes—
163#2550C2212yes—
164#2550C2212yes—
165#2550C2211yescharacteristic
166#2550C2212yes—
167#2549C2214yes—
168#2549C2214yes—
169#2546C2212yes—
170#2546C2212yes—
171#2542C2212yes—
172#2538C2212yes—
173#2538C2212yes—
174#2522C2214yes—
175#2522C2214yes—
176#2509C2212yes—
177#2509C2212yes—
178#2509C2212yes—
179#2507C2212yes—
180#2507C2212yes—
181#2507C2212yes—
182#2506C2212yes—
183#2506C2212yes—
184#2497C2214yes—
185#2492C2214yes—
186#2465C2214yes—
187#2465C2214yes—
188#2462C2214yes—
189#2462C2214yes—
190#2454C2212yes—
191#2454C2212yes—
192#2453C2212yes—
193#2452C2212yes—
194#2452C2212yes—
195#2451C2212yes—
196#2451C2214yes—
197#2451C2212yes—
198#2451C2212yes—
199#2446C2214yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2441C2212yes—
204#2441C2212yes—
205#2441C2211yescharacteristic
206#2441C2211yescharacteristic
207#2441C2212yes—
208#2441C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2439C2212yes—
215#2439C2211yescharacteristic
216#2439C2212yes—
217#2439C2211yescharacteristic
218#2439C2212yes—
219#2439C2212yes—
220#2438C2214yes—
221#2429C2214yes—
222#2423C2214yes—
223#2399C2214yes—
224#2396C2212yes—
225#2396C2212yes—
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2354C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238#2347C2214yes—
239#2347C2212yes—
240#2347C2212yes—
241#2343C2214yes—
242#2341C2212yes—
243#2339C2212yes—
244#2331C2212yes—
245#2331C2212yes—
246#2331C2212yes—
247#2331C2212yes—
248#2330C2212yes—
249#2330C2212yes—
250#2330C2212yes—
251#2330C2212yes—
252#2320C2211yescharacteristic
253#2320C2211yescharacteristic
254#2319C2211yescharacteristic
255#2319C2211yescharacteristic
256#2319C2212yes—
257#2319C2214yes—
258#2318C2212yes—
259#2318C2212yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2316C2212yes—
263#2316C2212yes—
264#2314C2212yes—
265#2314C2212yes—
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×#125C2211yescharacteristic
273C4×#125C2211yescharacteristic
274#2296C2212yes—
275#2295C2211yescharacteristic
276#2295C2211yescharacteristic
277#2295C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2290C2212yes—
283#2290C2212yes—
284#2290C2214yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
291#2283C2211yescharacteristic
292#2283C2212yes—
293#2276C2212yes—
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300#544—48no—
301#544—48no—
302#533—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C4×#41Q8116yescomplemented
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2314yes—
371C22×C42C2311yescharacteristic
372C22×C42C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2312yes—
391#399C2312yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2312yes—
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#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2312yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2312yes—
475#393C2314yes—
476#393C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#384C2312yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2314yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2312yes—
692#383C2312yes—
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2312yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#381C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801#376C2311yescharacteristic
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C2×#41—42no—
815C2×#41—42no—
816C2×#41C2×Q818yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846C4⋊Q8—48no—
847C4⋊Q8—48no—
848C4⋊Q8—84no—
849C4⋊Q8—84no—
850C4⋊Q8—82no—
851#125—28no—
852#125—24no—
853#125—24no—
854#125—44no—
855#125—44no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—48no—
860#125—48no—
861#125—82no—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—48no—
868C22⋊Q8—84no—
869C22⋊Q8—84no—
870C22⋊Q8—84no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—48no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—48no—
877C4×Q8C2×Q818yes—
878C4×Q8C2×Q818yes—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4C2×Q818yes—
882C4×D4C2×Q8116yes—
883C4×D4C2×Q818yes—
884C4×D4C2×Q8116yes—
885#117—24no—
886#117—24no—
887#117—42no—
888#117—42no—
889#117—44no—
890#117—44no—
891#117—44no—
892#117—44no—
893#117—44no—
894#117—82no—
895#117C2×Q818yes—
896#117C2×Q8116yes—
897C2×C4⋊C4—28no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—42no—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C42—44no—
1023C2×C42—84no—
1024C2×C42C2×Q818yes—
1025C2×C42C2×Q8116yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2511yescharacteristic
1150C24C2512yes—
1151#41—416no—
1152C2×Q8—28no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—44no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—44no—
1172C2×Q8C22×Q814yes—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4C22×Q814yes—
1178C2×D4C22×Q818yes—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—28no—
1186C22×C4—28no—
1187C22×C4—42no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4C22×Q814yes—
1204C22×C4C22×Q818yes—
1205C22×C4C22×Q814yes—
1206C22×C4C22×Q818yes—
1207C22×C4C22×Q814yes—
1208C22×C4C22×Q818yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4C22×Q818yes—
1331C4⋊C4C22×Q818yes—
1332C4⋊C4C22×Q814yes—
1333C4⋊C4C22×Q814yes—
1334C4⋊C4H(5,𝔽2)14yes—
1335C4⋊C42−1+414yes—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4C22×Q818yes—
1361C22⋊C4C22×Q818yes—
1362C22⋊C4C22×Q818yes—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—42no—
1380C42—42no—
1381C42—42no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—41no—
1386C42—41no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—41no—
1394C42—41no—
1395C42C22×Q814yes—
1396C42C22×Q814yes—
1397C42C22×Q818yes—
1398C42C22×Q818yes—
1399C42C22×Q814yes—
1400C42C22×Q818yes—
1401C42C22×Q814yes—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23C23×Q812yes—
1415C23C23×Q814yes—
1416C23C2611yescharacteristic
1417Q8—28no—
1418Q8—88no—
1419Q8—84no—
1420Q8—84no—
1421Q8—88no—
1422Q8—164no—
1423Q8—164no—
1424D4—28no—
1425D4—48no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—28no—
1445C2×C4—28no—
1446C2×C4—216no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—48no—
1514C2×C4—44no—
1515C2×C4—48no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—84no—
1519C2×C4—84no—
1520C2×C4C23×Q812yes—
1521C2×C4C23×Q812yes—
1522C2×C4C23×Q812yes—
1523C2×C4C23×Q814yes—
1524C2×C4C23×Q814yes—
1525C2×C4C23×Q812yes—
1526C2×C4C23×Q814yes—
1527C2×C4C23×Q812yes—
1528C2×C4C23×Q812yes—
1529C2×C4C2×H(5,𝔽2)14yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×2−1+414yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4#58512yes—
1534C2×C4#58512yes—
1535C22—22no—
1536C22—24no—
1537C22—22no—
1538C22—24no—
1539C22—22no—
1540C22—24no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—42no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22C24×Q811yescharacteristic
1550C22C22×H(5,𝔽2)11yescharacteristic
1551C22C22×2−1+411yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22H(7,𝔽2)11yescharacteristic
1555C222−1+611yescharacteristic
1556C4—22no—
1557C4—24no—
1558C4—22no—
1559C4—24no—
1560C4—22no—
1561C4—24no—
1562C4—22no—
1563C4—24no—
1564C4—24no—
1565C4—42no—
1566C4—42no—
1567C4—44no—
1568C4—41no—
1569C4—44no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—41no—
1580C4—44no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—41no—
1586C4—42no—
1587C4#345814yes—
1588C4#350314yes—
1589C2—42no—
1590C2—44no—
1591C2C2×#345811yescharacteristic
1592C2C2×#350311yescharacteristic
1593C2#6285411yescharacteristic
1594C2#6292011yescharacteristic
1595C2#6292211yescharacteristic
1596C2#6295111yescharacteristic
1597C2#6295311yescharacteristic
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
2. #42933C2semidirect
3. #42932C2semidirect
5. #42008C2semidirect
6. #42007C2semidirect
7. #39626C2semidirect
8. #39625C2semidirect
9. #39370C2semidirect
10. #39369C2semidirect
11. #39183C2semidirect
12. #39181C2semidirect
13. #38967C2semidirect
14. #38965C2semidirect
15. #38107C2semidirect
16. #38105C2semidirect
17. #37691C2semidirect
18. #37690C2semidirect
19. #37567C2semidirect
20. #37565C2semidirect
21. #36754C2semidirect
22. #36753C2semidirect
23. #35583C2semidirect
24. #35582C2semidirect
25. #35294C2semidirect
26. #35239C2semidirect
27. #35235C2semidirect
28. #35177C2semidirect
29. #35176C2semidirect
30. #35167C2semidirect
31. #34938C2semidirect
32. #34912C2semidirect
338. C4×#41Q8semidirect

Maximal subgroups

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

subgroupindex
#429542
#429332
#429322
#429312
#420082
#420072
#396262
#396252
#393702
#393692
#391832
#391812
#389672
#389652
#381072
#381052
#376912
#376902
#375672
#375652
#367542
#367532
#355832
#355822
#352942
#352392
#352352
#351772
#351762
#351672
#349382
#349122
#341932
#341272
#340602