Finite Group Databasebeta

← #8458726

Subgroups — #8458726

Order 512.

4102 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59673C211yesmaximal, characteristic, complemented
2#59233C211yesmaximal, characteristic, complemented
3#59212C211yesmaximal, characteristic, complemented
4#58745C214yesmaximal, complemented
5#57355C214yesmaximal, complemented
6#56852C214yesmaximal, complemented
7#53134C212yesmaximal, complemented
8#53003C212yesmaximal, complemented
9#50307C214yesmaximal, complemented
10#45696C212yesmaximal, complemented
11#45514C212yesmaximal, complemented
12#45186C212yesmaximal, complemented
13#45067C212yesmaximal, complemented
14#42748C212yesmaximal, complemented
15#42748C212yesmaximal, complemented
16#42604C212yesmaximal, complemented
17#42466C212yesmaximal, complemented
18#39931C212yesmaximal, complemented
19#39912C212yesmaximal, complemented
20#39479C211yesmaximal, characteristic, complemented
21#39158C211yesmaximal, characteristic, complemented
22#38967C211yesmaximal, characteristic, complemented
23#38932C211yesmaximal, characteristic, complemented
24#37962C212yesmaximal, complemented
25#37889C212yesmaximal, complemented
26#37624C211yesmaximal, characteristic, complemented
27#37370C212yesmaximal, complemented
28#37363C212yesmaximal, complemented
29#36210C211yesmaximal, characteristic, complemented
30#36192C211yesmaximal, characteristic, complemented
31#36176C211yesmaximal, characteristic, complemented
32#35239C211yesmaximal, characteristic, complemented
33#35207C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic, complemented
36#2859C2211yescharacteristic
37#2857C2211yescharacteristic
38#2857C2211yescharacteristic
39#2857C2212yes—
40#2854C2212yes—
41#2854C2212yes—
42#2851C2212yes—
43#2851C2212yes—
44#2851C2212yes—
45#2841C2214yes—
46#2836C2214yes—
47#2836C2214yes—
48#2835C2214yes—
49#2831C2214yes—
50#2829C2214yes—
51#2827C2214yes—
52#2813C2214yes—
53#2800C2214yes—
54#2799C2214yes—
55#2798C2214yes—
56#2798C2214yes—
57#2796C2214yes—
58#2788C2214yes—
59#2787C2214yes—
60#2787C2214yes—
61#2785C2214yes—
62#2783C2214yes—
63#2783C2214yes—
64#2781C2214yes—
65#2779C2214yes—
66#2779C2214yes—
67#2778C2214yes—
68#2773C2214yes—
69#2766C2214yes—
70#2766C2214yes—
71#2766C2214yes—
72#2764C2214yes—
73#2764C2214yes—
74#2762C2214yes—
75#2762C2214yes—
76#2759C2214yes—
77#2759C2214yes—
78#2754C2214yes—
79#2746C2214yes—
80#2745C2214yes—
81#2745C2214yes—
82#2742C2214yes—
83#2741C2214yes—
84#2740C2214yes—
85#2740C2214yes—
86#2737C2214yes—
87#2737C2214yes—
88#2730C2214yes—
89#2724C2214yes—
90#2717C2214yes—
91#2715C2214yes—
92#2712C2214yes—
93#2710C2214yes—
94#2706C2214yes—
95#2702C2214yes—
96#2701C2214yes—
97#2700C2214yes—
98#2696C2214yes—
99#2695C2214yes—
100#2693C2214yes—
101#2687C2214yes—
102#2666C2214yes—
103#2666C2214yes—
104#2660C2212yes—
105#2653C2214yes—
106#2653C2214yes—
107#2650C2214yes—
108#2650C2214yes—
109#2647C2212yes—
110#2647C2212yes—
111#2645C2214yes—
112#2644C2212yes—
113#2632C2214yes—
114#2629C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2624C2212yes—
118#2610C2214yes—
119#2604C2214yes—
120#2595C2214yes—
121#2581C2214yes—
122#2578C2212yes—
123#2577C2214yes—
124#2576C2212yes—
125#2571C2211yescharacteristic
126#2571C2211yescharacteristic
127#2570C2212yes—
128#2570C2211yescharacteristic
129#2570C2212yes—
130#2566C2211yescharacteristic
131#2563C2211yescharacteristic
132#2563C2212yes—
133#2563C2212yes—
134#2563C2211yescharacteristic
135#2563C2212yes—
136#2562C2212yes—
137#2562C2212yes—
138#2562C2211yescharacteristic
139#2562C2212yes—
140#2560C2214yes—
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2552C2211yescharacteristic
144#2551C2211yescharacteristic
145#2551C2211yescharacteristic
146#2550C2212yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2547C2212yes—
152#2537C2211yescharacteristic
153#2535C2212yes—
154#2535C2211yescharacteristic
155#2532C2214yes—
156#2529C2214yes—
157#2529C2214yes—
158#2528C2214yes—
159#2528C2214yes—
160#2528C2214yes—
161#2527C2214yes—
162#2525C2212yes—
163#2522C2214yes—
164#2522C2214yes—
165#2516C2212yes—
166#2515C2212yes—
167#2514C2212yes—
168#2513C2211yescharacteristic
169#2513C2212yes—
170#2512C2212yes—
171#2510C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2509C2212yes—
177#2509C2211yescharacteristic
178#2508C2212yes—
179#2508C2212yes—
180#2508C2212yes—
181#2504C2212yes—
182#2504C2211yescharacteristic
183#2497C2211yescharacteristic
184#2496C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2495C2212yes—
188#2495C2212yes—
189#2494C2211yescharacteristic
190#2494C2212yes—
191#2494C2212yes—
192#2494C2214yes—
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2494C2211yescharacteristic
197#2494C2212yes—
198#2494C2212yes—
199#2494C2212yes—
200#2491C2212yes—
201#2491C2212yes—
202#2491C2212yes—
203#2490C2212yes—
204#2490C2211yescharacteristic
205#2488C2214yes—
206#2487C2211yescharacteristic
207#2486C2212yes—
208#2486C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2485C2212yes—
212#2485C2212yes—
213#2465C2214yes—
214#2458C2214yes—
215#2457C2212yes—
216#2454C2212yes—
217#2454C2212yes—
218#2454C2212yes—
219#2448C2214yes—
220#2444C2212yes—
221#2442C2212yes—
222#2442C2212yes—
223#2442C2211yescharacteristic
224#2442C2212yes—
225#2441C2212yes—
226#2441C2212yes—
227#2441C2212yes—
228#2441C2212yes—
229#2440C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2439C2212yes—
233#2438C2214yes—
234#2422C2212yes—
235#2422C2212yes—
236#2422C2211yescharacteristic
237#2421C2212yes—
238#2420C2211yescharacteristic
239#2416C2211yescharacteristic
240#2415C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2401C2212yes—
245#2401C2212yes—
246#2395C2212yes—
247#2392C2212yes—
248#2376C2214yes—
249#2370C2212yes—
250#2370C2212yes—
251#2370C2212yes—
252#2369C2211yescharacteristic
253#2369C2211yescharacteristic
254#2365C2212yes—
255#2365C2212yes—
256#2363C2212yes—
257#2362C2212yes—
258#2354C2211yescharacteristic
259#2354C2211yescharacteristic
260#2354C2211yescharacteristic
261#2352C2212yes—
262#2352C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264#2347C2212yes—
265#2346C2212yes—
266#2346C2212yes—
267#2346C2212yes—
268#2335C2214yes—
269#2331C2212yes—
270#2331C2212yes—
271#2330C2212yes—
272#2324C2212yes—
273#2319C2212yes—
274#2316C2212yes—
275#2314C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2290C2212yes—
289#2285C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2212yes—
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#126C2314yes—
305C2×#125C2311yescharacteristic
306C2×#125C2311yescharacteristic
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#124C2314yes—
312C2×#124C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×#121C2312yes—
321C2×#121C2311yescharacteristic
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2314yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2312yes—
354C22×C42C2312yes—
355#401C2312yes—
356#401C2314yes—
357#401C2314yes—
358#401C2312yes—
359#401C2314yes—
360#401C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2312yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2312yes—
391#399C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2312yes—
481#391C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
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#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#383C2314yes—
684#383C2312yes—
685#383C2314yes—
686#383C2312yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2314yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2412yes—
811C22×Q8C2414yes—
812C22×Q8C2414yes—
813C22×D4C2411yescharacteristic
814C22×D4C2411yescharacteristic
815C22×D4C2411yescharacteristic
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2414yes—
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839#126—84no—
840#125—42no—
841#125—44no—
842#125—44no—
843#125—42no—
844#125—44no—
845#125—44no—
846#124—84no—
847#124—84no—
848#123—44no—
849#123—48no—
850#123—48no—
851#123—84no—
852C22⋊Q8—44no—
853C22⋊Q8—84no—
854C22⋊Q8—82no—
855#121—42no—
856#121—42no—
857#121—42no—
858#121—44no—
859#121—44no—
860#121—42no—
861#121—44no—
862C4×Q8—82no—
863C4×Q8—84no—
864C4×D4—24no—
865C4×D4—24no—
866C4×D4—42no—
867C4×D4—42no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—42no—
872C4×D4—44no—
873C4×D4—42no—
874C4×D4—44no—
875C4×D4—42no—
876#117—44no—
877#117—44no—
878#117—44no—
879#117—44no—
880#117—44no—
881#117—44no—
882#117—82no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C42—24no—
1011C2×C42—24no—
1012C2×C42—44no—
1013C2×C42—44no—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
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—
1129C24C2512yes—
1130C24C2512yes—
1131C24C2511yescharacteristic
1132C24C2511yescharacteristic
1133C2×Q8—24no—
1134C2×Q8—42no—
1135C2×Q8—44no—
1136C2×Q8—42no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×D4—22no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C22×C4—22no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
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—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—41no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C22⋊C4—22no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—42no—
1329C22⋊C4—41no—
1330C22⋊C4—42no—
1331C22⋊C4—41no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—41no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—24no—
1376C42—42no—
1377C42—42no—
1378C42—42no—
1379C42—42no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—41no—
1386C42—41no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C422−1+414yes—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—22no—
1398C23—22no—
1399C23—21no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—22no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—21no—
1417C23—22no—
1418C23#58512yes—
1419C23C2611yescharacteristic
1420Q8—84no—
1421Q8—88no—
1422Q8—164no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—164no—
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—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—82no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—84no—
1528C2×C4—84no—
1529C2×C4—164no—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4#58512yes—
1534C2×C4#58512yes—
1535C2×C4#58512yes—
1536C2×C4#58512yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—42no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—41no—
1552C22—42no—
1553C22—42no—
1554C22—41no—
1555C22—42no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—41no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22C22×2−1+411yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22H(7,𝔽2)11yescharacteristic
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—44no—
1585C4—42no—
1586C4—41no—
1587C4—42no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—41no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—41no—
1599C4—41no—
1600C4—44no—
1601C4#356514yes—
1602C4#356514yes—
1603C2—42no—
1604C2—81no—
1605C2—82no—
1606C2—82no—
1607C2C2×#356511yescharacteristic
1608C2C2×#356511yescharacteristic
1609C2#6282711yescharacteristic
1610C2#6293711yescharacteristic
1611C2#6293811yescharacteristic
1612C2#6295811yescharacteristic
1613C2#6302811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59673C2semidirect
2. #59233C2semidirect
3. #59212C2semidirect
4. #58745C2semidirect
5. #57355C2semidirect
6. #56852C2semidirect
7. #53134C2semidirect
8. #53003C2semidirect
9. #50307C2semidirect
10. #45696C2semidirect
11. #45514C2semidirect
12. #45186C2semidirect
13. #45067C2semidirect
14. #42748C2semidirect
15. #42748C2semidirect
16. #42604C2semidirect
17. #42466C2semidirect
18. #39931C2semidirect
19. #39912C2semidirect
20. #39479C2semidirect
21. #39158C2semidirect
22. #38967C2semidirect
23. #38932C2semidirect
24. #37962C2semidirect
25. #37889C2semidirect
26. #37624C2semidirect
27. #37370C2semidirect
28. #37363C2semidirect
29. #36210C2semidirect
30. #36192C2semidirect
31. #36176C2semidirect
32. #35239C2semidirect
33. #35207C2semidirect
34. #34917C2semidirect
35. #34788C2semidirect

Maximal subgroups

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

subgroupindex
#596732
#592332
#592122
#587452
#573552
#568522
#531342
#530032
#503072
#456962
#455142
#451862
#450672
#427482
#426042
#424662
#399312
#399122
#394792
#391582
#389672
#389322
#379622
#378892
#376242
#373702
#373632
#362102
#361922
#361762
#352392
#352072
#349172
#347882