Finite Group Databasebeta

← #8458723

Subgroups — #8458723

Order 512.

4089 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59436C211yesmaximal, characteristic, complemented
3#59435C211yesmaximal, characteristic, complemented
4#57746C214yesmaximal, complemented
5#57073C214yesmaximal, complemented
6#56863C214yesmaximal, complemented
7#53075C212yesmaximal, complemented
8#52980C212yesmaximal, complemented
9#51242C214yesmaximal, complemented
10#45689C212yesmaximal, complemented
11#45684C212yesmaximal, complemented
12#45218C212yesmaximal, complemented
13#44902C212yesmaximal, complemented
14#42745C212yesmaximal, complemented
15#42740C212yesmaximal, complemented
16#42625C212yesmaximal, complemented
17#42571C212yesmaximal, complemented
18#39937C212yesmaximal, complemented
19#39928C212yesmaximal, complemented
20#39194C211yesmaximal, characteristic, complemented
21#39191C211yesmaximal, characteristic
22#39180C211yesmaximal, characteristic, complemented
23#38966C211yesmaximal, characteristic, complemented
24#37987C212yesmaximal, complemented
25#37889C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37430C212yesmaximal, complemented
28#37360C212yesmaximal, complemented
29#36574C211yesmaximal, characteristic, complemented
30#36192C211yesmaximal, characteristic, complemented
31#36174C211yesmaximal, characteristic, complemented
32#35207C211yesmaximal, characteristic, complemented
33#35207C211yesmaximal, characteristic, complemented
34#34918C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic, complemented
36#2859C2211yescharacteristic
37#2859C2211yescharacteristic
38#2859C2211yescharacteristic
39#2854C2212yes—
40#2854C2212yes—
41#2851C2212yes—
42#2851C2212yes—
43#2851C2212yes—
44#2850C2212yes—
45#2838C2214yes—
46#2838C2214yes—
47#2837C2214yes—
48#2837C2214yes—
49#2837C2214yes—
50#2834C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2808C2214yes—
54#2801C2214yes—
55#2800C2214yes—
56#2796C2214yes—
57#2796C2214yes—
58#2793C2214yes—
59#2790C2214yes—
60#2787C2214yes—
61#2787C2214yes—
62#2782C2214yes—
63#2779C2214yes—
64#2779C2214yes—
65#2777C2214yes—
66#2777C2214yes—
67#2777C2214yes—
68#2776C2214yes—
69#2776C2214yes—
70#2775C2214yes—
71#2773C2214yes—
72#2771C2214yes—
73#2770C2214yes—
74#2770C2214yes—
75#2768C2214yes—
76#2765C2214yes—
77#2762C2214yes—
78#2762C2214yes—
79#2761C2214yes—
80#2761C2214yes—
81#2757C2214yes—
82#2755C2214yes—
83#2753C2214yes—
84#2750C2214yes—
85#2746C2214yes—
86#2745C2214yes—
87#2744C2214yes—
88#2737C2214yes—
89#2730C2214yes—
90#2726C2214yes—
91#2721C2214yes—
92#2718C2214yes—
93#2717C2214yes—
94#2711C2214yes—
95#2708C2214yes—
96#2707C2214yes—
97#2706C2214yes—
98#2705C2214yes—
99#2701C2214yes—
100#2698C2214yes—
101#2691C2214yes—
102#2662C2214yes—
103#2653C2214yes—
104#2653C2214yes—
105#2652C2214yes—
106#2651C2214yes—
107#2647C2212yes—
108#2647C2212yes—
109#2644C2212yes—
110#2644C2214yes—
111#2637C2214yes—
112#2629C2212yes—
113#2629C2212yes—
114#2625C2212yes—
115#2624C2212yes—
116#2624C2212yes—
117#2624C2214yes—
118#2611C2214yes—
119#2604C2214yes—
120#2599C2214yes—
121#2597C2212yes—
122#2595C2212yes—
123#2594C2214yes—
124#2592C2214yes—
125#2592C2211yescharacteristic
126#2589C2212yes—
127#2587C2212yes—
128#2584C2212yes—
129#2584C2211yescharacteristic
130#2584C2212yes—
131#2584C2212yes—
132#2582C2212yes—
133#2581C2212yes—
134#2580C2211yescharacteristic
135#2580C2211yescharacteristic
136#2571C2212yes—
137#2570C2214yes—
138#2570C2212yes—
139#2570C2211yescharacteristic
140#2567C2211yescharacteristic
141#2566C2211yescharacteristic
142#2566C2212yes—
143#2563C2211yescharacteristic
144#2563C2211yescharacteristic
145#2563C2211yescharacteristic
146#2558C2214yes—
147#2552C2212yes—
148#2552C2211yescharacteristic
149#2552C2211yescharacteristic
150#2552C2211yescharacteristic
151#2552C2212yes—
152#2550C2212yes—
153#2550C2211yescharacteristic
154#2548C2212yes—
155#2547C2212yes—
156#2544C2211yescharacteristic
157#2538C2211yescharacteristic
158#2537C2211yescharacteristic
159#2537C2211yescharacteristic
160#2532C2214yes—
161#2529C2214yes—
162#2529C2214yes—
163#2528C2214yes—
164#2528C2214yes—
165#2528C2214yes—
166#2526C2214yes—
167#2522C2214yes—
168#2522C2214yes—
169#2522C2212yes—
170#2518C2214yes—
171#2516C2212yes—
172#2514C2212yes—
173#2513C2212yes—
174#2513C2211yescharacteristic
175#2513C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2511C2211yescharacteristic
179#2509C2211yescharacteristic
180#2509C2212yes—
181#2509C2212yes—
182#2508C2212yes—
183#2508C2212yes—
184#2508C2212yes—
185#2508C2212yes—
186#2507C2211yescharacteristic
187#2506C2212yes—
188#2500C2212yes—
189#2497C2212yes—
190#2496C2212yes—
191#2496C2212yes—
192#2495C2212yes—
193#2495C2212yes—
194#2495C2212yes—
195#2494C2212yes—
196#2494C2212yes—
197#2494C2212yes—
198#2494C2212yes—
199#2494C2212yes—
200#2494C2212yes—
201#2494C2212yes—
202#2490C2212yes—
203#2490C2212yes—
204#2490C2212yes—
205#2490C2212yes—
206#2489C2212yes—
207#2489C2212yes—
208#2487C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2485C2212yes—
212#2479C2214yes—
213#2470C2214yes—
214#2465C2212yes—
215#2458C2214yes—
216#2458C2214yes—
217#2458C2212yes—
218#2454C2212yes—
219#2454C2212yes—
220#2454C2211yescharacteristic
221#2454C2212yes—
222#2453C2212yes—
223#2453C2212yes—
224#2453C2212yes—
225#2452C2211yescharacteristic
226#2448C2212yes—
227#2447C2212yes—
228#2447C2211yescharacteristic
229#2445C2211yescharacteristic
230#2442C2212yes—
231#2442C2212yes—
232#2441C2212yes—
233#2441C2212yes—
234#2441C2212yes—
235#2441C2212yes—
236#2441C2212yes—
237#2428C2212yes—
238#2426C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2420C2212yes—
242#2416C2212yes—
243#2414C2212yes—
244#2398C2212yes—
245#2396C2212yes—
246#2396C2212yes—
247#2395C2212yes—
248#2379C2214yes—
249#2370C2212yes—
250#2370C2212yes—
251#2370C2212yes—
252#2370C2212yes—
253#2363C2212yes—
254#2356C2212yes—
255#2355C2211yescharacteristic
256#2355C2212yes—
257#2354C2212yes—
258#2354C2211yescharacteristic
259#2354C2211yescharacteristic
260#2354C2212yes—
261#2354C2211yescharacteristic
262#2351C2212yes—
263Q8×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265#2346C2212yes—
266#2346C2212yes—
267#2344C2212yes—
268#2334C2214yes—
269#2330C2212yes—
270#2324C2212yes—
271#2324C2212yes—
272#2324C2212yes—
273#2323C2212yes—
274#2317C2212yes—
275#2314C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×#123C2212yes—
288#2296C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2290C2212yes—
294#2285C2212yes—
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×#127C2311yescharacteristic
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#125C2311yescharacteristic
305C2×#125C2311yescharacteristic
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#124C2314yes—
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2314yes—
352C22×C4⋊C4C2312yes—
353C22×C42C2312yes—
354C22×C42C2312yes—
355#401C2314yes—
356#401C2314yes—
357#401C2314yes—
358#401C2314yes—
359#400C2312yes—
360#400C2314yes—
361#400C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#399C2314yes—
380#399C2312yes—
381#399C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2312yes—
387#399C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2314yes—
391#398C2312yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2312yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2312yes—
478#393C2312yes—
479#393C2312yes—
480#392C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#382C2314yes—
724#382C2312yes—
725#382C2314yes—
726#382C2312yes—
727#382C2312yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2412yes—
812C22×Q8C2412yes—
813C22×Q8C2411yescharacteristic
814C22×D4C2411yescharacteristic
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2414yes—
820C22×D4C2414yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C4⋊Q8—24no—
830C4⋊Q8—42no—
831#127—42no—
832#126—48no—
833#126—84no—
834#125—42no—
835#125—44no—
836#125—44no—
837#125—44no—
838#125—42no—
839#125—44no—
840#125—44no—
841#125—84no—
842#125—82no—
843#124—42no—
844#124—42no—
845#124—48no—
846#123—44no—
847#123—84no—
848#123—84no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—84no—
856C4×Q8—24no—
857C4×Q8—44no—
858C4×Q8—42no—
859C4×Q8—42no—
860C4×Q8—44no—
861C4×Q8—42no—
862C4×Q8—44no—
863C4×Q8—82no—
864C4×Q8—82no—
865C4×D4—24no—
866C4×D4—24no—
867C4×D4—24no—
868C4×D4—42no—
869C4×D4—42no—
870C4×D4—44no—
871C4×D4—42no—
872C4×D4—42no—
873C4×D4—44no—
874C4×D4—44no—
875#117—44no—
876#117—44no—
877#117—44no—
878#117—44no—
879#117—44no—
880#117—44no—
881#117—84no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C42—44no—
1014C2×C42—44no—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
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#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
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—
1131C24C2512yes—
1132C2×Q8—22no—
1133C2×Q8—24no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—24no—
1137C2×Q8—42no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—42no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—44no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—44no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C42—24no—
1352C42—22no—
1353C42—22no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—28no—
1368C42—22no—
1369C42—22no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42—44no—
1375C42—44no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—41no—
1380C42—41no—
1381C42—44no—
1382C42—41no—
1383C42—41no—
1384C42—44no—
1385C42—41no—
1386C422−1+414yes—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23C2611yescharacteristic
1409Q8—48no—
1410Q8—44no—
1411Q8—44no—
1412Q8—84no—
1413D4—44no—
1414D4—44no—
1415D4—44no—
1416D4—84no—
1417D4—84no—
1418D4—164no—
1419D4—164no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—48no—
1509C2×C4—48no—
1510C2×C4—48no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4—84no—
1515C2×C4—88no—
1516C2×C4C2×2−1+412yes—
1517C2×C4C2×2−1+412yes—
1518C2×C4C2×2−1+412yes—
1519C2×C4#58512yes—
1520C2×C4#58512yes—
1521C2×C4#58512yes—
1522C2×C4#58512yes—
1523C2×C4#58512yes—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22C22×2−1+411yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22C2×#58511yescharacteristic
1551C22H(7,𝔽2)11yescharacteristic
1552C4—22no—
1553C4—22no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—41no—
1560C4—41no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—42no—
1569C4—44no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—41no—
1575C4—44no—
1576C4—41no—
1577C4—41no—
1578C4—42no—
1579C4—41no—
1580C4—42no—
1581C4—44no—
1582C4#355714yes—
1583C4#356514yes—
1584C2—82no—
1585C2—82no—
1586C2—82no—
1587C2C2×#355711yescharacteristic
1588C2C2×#356511yescharacteristic
1589C2#6284011yescharacteristic
1590C2#6292611yescharacteristic
1591C2#6293711yescharacteristic
1592C2#6293811yescharacteristic
1593C2#6302811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39191C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59863C2semidirect
2. #59436C2semidirect
3. #59435C2semidirect
4. #57746C2semidirect
5. #57073C2semidirect
6. #56863C2semidirect
7. #53075C2semidirect
8. #52980C2semidirect
9. #51242C2semidirect
10. #45689C2semidirect
11. #45684C2semidirect
12. #45218C2semidirect
13. #44902C2semidirect
14. #42745C2semidirect
15. #42740C2semidirect
16. #42625C2semidirect
17. #42571C2semidirect
18. #39937C2semidirect
19. #39928C2semidirect
20. #39194C2semidirect
22. #39180C2semidirect
23. #38966C2semidirect
24. #37987C2semidirect
25. #37889C2semidirect
26. #37637C2semidirect
27. #37430C2semidirect
28. #37360C2semidirect
29. #36574C2semidirect
30. #36192C2semidirect
31. #36174C2semidirect
32. #35207C2semidirect
33. #35207C2semidirect
34. #34918C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#598632
#594362
#594352
#577462
#570732
#568632
#530752
#529802
#512422
#456892
#456842
#452182
#449022
#427452
#427402
#426252
#425712
#399372
#399282
#391942
#391912
#391802
#389662
#379872
#378892
#376372
#374302
#373602
#365742
#361922
#361742
#352072
#349182
#348932