Finite Group Databasebeta

← #8425006

Subgroups — #8425006

Order 512.

4389 conjugacy classes of subgroups.

The subgroup lattice has 1643 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59665C211yesmaximal, characteristic, complemented
2#59437C212yesmaximal, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59212C211yesmaximal, characteristic, complemented
5#59137C212yesmaximal, complemented
6#57047C214yesmaximal, complemented
7#55856C214yesmaximal, complemented
8#53119C212yesmaximal, complemented
9#53003C212yesmaximal, complemented
10#52978C212yesmaximal, complemented
11#52963C212yesmaximal, complemented
12#52652C214yesmaximal, complemented
13#42944C212yesmaximal, complemented
14#42764C212yesmaximal, complemented
15#42514C212yesmaximal, complemented
16#42502C212yesmaximal, complemented
17#41277C214yesmaximal, complemented
18#40188C212yesmaximal, complemented
19#40010C212yesmaximal, complemented
20#39370C211yesmaximal, characteristic, complemented
21#39158C211yesmaximal, characteristic, complemented
22#39076C212yesmaximal, complemented
23#38966C211yesmaximal, characteristic, complemented
24#38932C211yesmaximal, characteristic, complemented
25#37691C212yesmaximal, complemented
26#37636C211yesmaximal, characteristic, complemented
27#37623C211yesmaximal, characteristic, complemented
28#37597C212yesmaximal, complemented
29#37508C212yesmaximal, complemented
30#36551C211yesmaximal, characteristic, complemented
31#36459C211yesmaximal, characteristic, complemented
32#36189C211yesmaximal, characteristic, complemented
33#34938C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#544C2212yes—
38C2×#533C2212yes—
39#2860C2212yes—
40#2859C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2851C2212yes—
44#2843C2214yes—
45#2839C2214yes—
46#2838C2214yes—
47#2836C2214yes—
48#2835C2214yes—
49#2833C2214yes—
50#2832C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2827C2214yes—
54#2827C2214yes—
55#2827C2214yes—
56#2826C2214yes—
57#2821C2214yes—
58#2799C2214yes—
59#2790C2214yes—
60#2787C2214yes—
61#2787C2214yes—
62#2782C2214yes—
63#2778C2214yes—
64#2772C2214yes—
65#2770C2214yes—
66#2769C2214yes—
67#2768C2214yes—
68#2764C2214yes—
69#2759C2214yes—
70#2758C2214yes—
71#2754C2214yes—
72#2746C2214yes—
73#2732C2214yes—
74#2729C2214yes—
75#2729C2214yes—
76#2721C2214yes—
77#2720C2214yes—
78#2720C2214yes—
79#2718C2214yes—
80#2717C2214yes—
81#2715C2214yes—
82#2708C2214yes—
83#2704C2214yes—
84#2702C2214yes—
85#2702C2214yes—
86#2700C2214yes—
87#2695C2214yes—
88#2692C2214yes—
89#2687C2214yes—
90#2687C2214yes—
91#2687C2214yes—
92#2676C2214yes—
93#2672C2214yes—
94#2672C2214yes—
95#2664C2214yes—
96#2660C2212yes—
97#2660C2212yes—
98#2655C2214yes—
99#2655C2214yes—
100#2654C2214yes—
101#2654C2214yes—
102#2651C2214yes—
103#2647C2212yes—
104#2647C2212yes—
105#2647C2212yes—
106#2644C2212yes—
107#2633C2214yes—
108#2633C2214yes—
109#2632C2214yes—
110#2630C2214yes—
111#2629C2212yes—
112#2629C2212yes—
113#2628C2212yes—
114#2628C2212yes—
115#2627C2214yes—
116#2624C2212yes—
117#2624C2212yes—
118#2595C2214yes—
119#2589C2214yes—
120#2584C2212yes—
121#2577C2214yes—
122#2577C2214yes—
123#2575C2214yes—
124#2571C2211yescharacteristic
125#2570C2212yes—
126#2566C2212yes—
127#2563C2211yescharacteristic
128#2563C2211yescharacteristic
129#2562C2212yes—
130#2560C2214yes—
131#2558C2214yes—
132#2552C2211yescharacteristic
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2551C2211yescharacteristic
138#2551C2211yescharacteristic
139#2550C2212yes—
140#2550C2212yes—
141#2550C2212yes—
142#2549C2214yes—
143#2547C2214yes—
144#2547C2212yes—
145#2546C2212yes—
146#2538C2212yes—
147#2537C2211yescharacteristic
148#2535C2212yes—
149#2532C2214yes—
150#2532C2212yes—
151#2526C2212yes—
152#2525C2212yes—
153#2518C2212yes—
154#2516C2212yes—
155#2514C2214yes—
156#2513C2211yescharacteristic
157#2513C2211yescharacteristic
158#2511C2212yes—
159#2510C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2509C2211yescharacteristic
164#2508C2211yescharacteristic
165#2508C2212yes—
166#2507C2212yes—
167#2506C2212yes—
168#2506C2212yes—
169#2506C2212yes—
170#2504C2212yes—
171#2504C2211yescharacteristic
172#2501C2212yes—
173#2500C2211yescharacteristic
174#2497C2212yes—
175#2497C2212yes—
176#2497C2211yescharacteristic
177#2496C2212yes—
178#2496C2212yes—
179#2495C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2495C2212yes—
183#2495C2212yes—
184#2494C2212yes—
185#2494C2212yes—
186#2494C2211yescharacteristic
187#2494C2212yes—
188#2494C2212yes—
189#2491C2212yes—
190#2491C2212yes—
191#2491C2212yes—
192#2491C2211yescharacteristic
193#2490C2212yes—
194#2490C2211yescharacteristic
195#2487C2211yescharacteristic
196#2487C2212yes—
197#2487C2212yes—
198#2487C2212yes—
199#2486C2212yes—
200#2485C2212yes—
201#2485C2212yes—
202#2485C2211yescharacteristic
203#2485C2212yes—
204#2469C2214yes—
205#2465C2214yes—
206#2463C2214yes—
207#2462C2214yes—
208#2461C2214yes—
209#2459C2212yes—
210#2458C2214yes—
211#2454C2212yes—
212#2454C2212yes—
213#2453C2214yes—
214#2452C2212yes—
215#2450C2214yes—
216#2446C2214yes—
217#2444C2212yes—
218#2443C2214yes—
219#2442C2212yes—
220#2442C2212yes—
221#2442C2212yes—
222#2442C2212yes—
223#2442C2212yes—
224#2442C2212yes—
225#2442C2211yescharacteristic
226#2441C2212yes—
227#2441C2212yes—
228#2441C2212yes—
229#2440C2212yes—
230#2440C2212yes—
231#2440C2212yes—
232#2440C2212yes—
233#2439C2212yes—
234#2439C2211yescharacteristic
235#2439C2212yes—
236#2426C2214yes—
237#2423C2214yes—
238#2423C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2417C2212yes—
242#2416C2212yes—
243#2416C2211yescharacteristic
244#2414C2211yescharacteristic
245#2414C2212yes—
246#2401C2212yes—
247#2399C2214yes—
248#2398C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2370C2212yes—
252#2369C2211yescharacteristic
253#2369C2211yescharacteristic
254#2367C2214yes—
255#2363C2212yes—
256#2360C2212yes—
257#2355C2212yes—
258#2354C2212yes—
259#2354C2211yescharacteristic
260#2354C2211yescharacteristic
261#2352C2212yes—
262#2352C2212yes—
263D4×C4⋊C4C2212yes—
264D4×C4⋊C4C2212yes—
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267#2347C2212yes—
268#2345C2212yes—
269#2345C2212yes—
270#2335C2214yes—
271#2331C2212yes—
272#2319C2212yes—
273#2317C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2212yes—
280C4×#124C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2296C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#553—48no—
300#544—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374#401C2314yes—
375#401C2314yes—
376#401C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#392C2314yes—
507#392C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#383C2312yes—
707#383C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2312yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2414yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—48no—
845#126—48no—
846#126—84no—
847#125—28no—
848#125—44no—
849#125—42no—
850#125—44no—
851#125—44no—
852#125—48no—
853#125—44no—
854#125—84no—
855#124—44no—
856#124—48no—
857#124—84no—
858#123—48no—
859#123—48no—
860#123—84no—
861C22⋊Q8—44no—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—82no—
867C22⋊Q8—84no—
868#121—24no—
869#121—24no—
870#121—48no—
871#121—44no—
872#121—42no—
873#121—44no—
874#121—42no—
875#121—44no—
876C4×Q8—44no—
877C4×Q8—48no—
878C4×Q8—48no—
879C4×Q8—82no—
880C4×D4—24no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—48no—
887C4×D4—42no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4—84no—
893#117—24no—
894#117—24no—
895#117—28no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—42no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4—42no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—82no—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C42—24no—
1037C2×C42—24no—
1038C2×C42—44no—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
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#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2512yes—
1149C24C2512yes—
1150C24C2511yescharacteristic
1151C24C2511yescharacteristic
1152C2×Q8—28no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—44no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—41no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—41no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C42−1+414yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4H(5,𝔽2)14yes—
1334C22⋊C4—24no—
1335C22⋊C4—22no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—41no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C42—24no—
1388C42—24no—
1389C42—28no—
1390C42—24no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—42no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—41no—
1411C42—44no—
1412C42—41no—
1413C42—44no—
1414C42—42no—
1415C42—44no—
1416C42—42no—
1417C422−1+414yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23C2×2−1+412yes—
1445C23#58512yes—
1446C23C2611yescharacteristic
1447Q8—88no—
1448Q8—84no—
1449Q8—84no—
1450Q8—88no—
1451D4—48no—
1452D4—44no—
1453D4—48no—
1454D4—44no—
1455D4—44no—
1456D4—84no—
1457D4—84no—
1458D4—164no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—28no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—48no—
1550C2×C4—82no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—164no—
1554C2×C4—164no—
1555C2×C4—164no—
1556C2×C4C2×H(5,𝔽2)14yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4C2×2−1+412yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22C22×H(5,𝔽2)11yescharacteristic
1594C22C22×2−1+411yescharacteristic
1595C22C22×2−1+411yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22H(7,𝔽2)11yescharacteristic
1600C4—22no—
1601C4—24no—
1602C4—22no—
1603C4—41no—
1604C4—41no—
1605C4—42no—
1606C4—42no—
1607C4—41no—
1608C4—42no—
1609C4—41no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—44no—
1615C4—41no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—44no—
1620C4—44no—
1621C4—42no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—44no—
1629C4#355214yes—
1630C4#356514yes—
1631C2—42no—
1632C2—42no—
1633C2—82no—
1634C2—82no—
1635C2C2×#356511yescharacteristic
1636C2C2×#355211yescharacteristic
1637C2#6275211yescharacteristic
1638C2#6292311yescharacteristic
1639C2#6292611yescharacteristic
1640C2#6295811yescharacteristic
1641C2#6301811yescharacteristic
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. #59665C2semidirect
2. #59437C2semidirect
3. #59304C2semidirect
4. #59212C2semidirect
5. #59137C2semidirect
6. #57047C2semidirect
7. #55856C2semidirect
8. #53119C2semidirect
9. #53003C2semidirect
10. #52978C2semidirect
11. #52963C2semidirect
12. #52652C2semidirect
13. #42944C2semidirect
14. #42764C2semidirect
15. #42514C2semidirect
16. #42502C2semidirect
17. #41277C2semidirect
18. #40188C2semidirect
19. #40010C2semidirect
20. #39370C2semidirect
21. #39158C2semidirect
22. #39076C2semidirect
23. #38966C2semidirect
24. #38932C2semidirect
25. #37691C2semidirect
26. #37636C2semidirect
27. #37623C2semidirect
28. #37597C2semidirect
29. #37508C2semidirect
30. #36551C2semidirect
31. #36459C2semidirect
32. #36189C2semidirect
33. #34938C2semidirect
34. #34800C2semidirect
35. #34788C2semidirect

Maximal subgroups

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

subgroupindex
#596652
#594372
#593042
#592122
#591372
#570472
#558562
#531192
#530032
#529782
#529632
#526522
#429442
#427642
#425142
#425022
#412772
#401882
#400102
#393702
#391582
#390762
#389662
#389322
#376912
#376362
#376232
#375972
#375082
#365512
#364592
#361892
#349382
#348002
#347882