Finite Group Databasebeta

← #8429473

Subgroups — #8429473

Order 512.

4252 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59871C211yesmaximal, characteristic, complemented
2#59711C212yesmaximal, complemented
3#59428C212yesmaximal, complemented
4#59305C211yesmaximal, characteristic, complemented
5#59218C211yesmaximal, characteristic, complemented
6#57068C214yesmaximal, complemented
7#53921C214yesmaximal, complemented
8#53133C212yesmaximal, complemented
9#53097C212yesmaximal, complemented
10#53083C212yesmaximal, complemented
11#53081C212yesmaximal, complemented
12#52870C214yesmaximal, complemented
13#42599C212yesmaximal
14#42597C212yesmaximal, complemented
15#42513C212yesmaximal, complemented
16#42501C212yesmaximal, complemented
17#42179C214yesmaximal, complemented
18#39681C212yesmaximal, complemented
19#39181C211yesmaximal, characteristic, complemented
20#39158C211yesmaximal, characteristic, complemented
21#39077C212yesmaximal, complemented
22#39032C212yesmaximal, complemented
23#39026C212yesmaximal, complemented
24#38964C211yesmaximal, characteristic, complemented
25#38931C211yesmaximal, characteristic, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37623C211yesmaximal, characteristic, complemented
28#37597C212yesmaximal, complemented
29#37571C212yesmaximal, complemented
30#36480C211yesmaximal, characteristic, complemented
31#36301C211yesmaximal, characteristic, complemented
32#36181C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34800C211yesmaximal, characteristic
36C2×#556C2214yes—
37C2×#552C2212yes—
38#2864C2212yes—
39#2863C2212yes—
40#2859C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2843C2214yes—
44#2838C2214yes—
45#2836C2214yes—
46#2833C2214yes—
47#2832C2214yes—
48#2831C2214yes—
49#2831C2214yes—
50#2831C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2830C2214yes—
54#2827C2214yes—
55#2823C2214yes—
56#2814C2214yes—
57#2806C2214yes—
58#2806C2214yes—
59#2799C2214yes—
60#2794C2214yes—
61#2793C2214yes—
62#2791C2214yes—
63#2791C2214yes—
64#2790C2214yes—
65#2783C2214yes—
66#2783C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2764C2214yes—
72#2763C2214yes—
73#2762C2214yes—
74#2762C2214yes—
75#2759C2214yes—
76#2758C2214yes—
77#2757C2214yes—
78#2745C2214yes—
79#2744C2214yes—
80#2739C2214yes—
81#2737C2214yes—
82#2723C2214yes—
83#2720C2214yes—
84#2718C2214yes—
85#2716C2214yes—
86#2716C2214yes—
87#2713C2214yes—
88#2710C2214yes—
89#2700C2214yes—
90#2700C2214yes—
91#2698C2214yes—
92#2689C2214yes—
93#2689C2214yes—
94#2664C2214yes—
95#2660C2212yes—
96#2660C2212yes—
97#2655C2214yes—
98#2655C2214yes—
99#2654C2214yes—
100#2652C2214yes—
101#2652C2214yes—
102#2650C2214yes—
103#2647C2212yes—
104#2647C2212yes—
105#2647C2212yes—
106#2647C2212yes—
107#2647C2212yes—
108#2644C2212yes—
109#2644C2212yes—
110#2637C2214yes—
111#2637C2214yes—
112#2630C2214yes—
113#2629C2212yes—
114#2628C2212yes—
115#2627C2214yes—
116#2625C2212yes—
117#2612C2214yes—
118#2605C2214yes—
119#2601C2214yes—
120#2599C2214yes—
121#2584C2212yes—
122#2584C2212yes—
123#2582C2214yes—
124#2581C2214yes—
125#2581C2212yes—
126#2580C2212yes—
127#2579C2214yes—
128#2571C2211yescharacteristic
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2570C2212yes—
132#2567C2212yes—
133#2567C2211yescharacteristic
134#2567C2212yes—
135#2566C2212yes—
136#2565C2214yes—
137#2565C2212yes—
138#2563C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2551C2212yes—
144#2551C2211yescharacteristic
145#2551C2211yescharacteristic
146#2547C2212yes—
147#2546C2212yes—
148#2538C2211yescharacteristic
149#2538C2212yes—
150#2533C2212yes—
151#2532C2212yes—
152#2527C2212yes—
153#2527C2214yes—
154#2526C2212yes—
155#2524C2214yes—
156#2523C2212yes—
157#2520C2214yes—
158#2518C2212yes—
159#2514C2211yescharacteristic
160#2513C2211yescharacteristic
161#2512C2212yes—
162#2512C2212yes—
163#2509C2212yes—
164#2509C2212yes—
165#2509C2211yescharacteristic
166#2508C2211yescharacteristic
167#2508C2212yes—
168#2508C2212yes—
169#2508C2212yes—
170#2507C2212yes—
171#2507C2212yes—
172#2507C2212yes—
173#2506C2212yes—
174#2506C2212yes—
175#2503C2212yes—
176#2502C2212yes—
177#2500C2211yescharacteristic
178#2499C2211yescharacteristic
179#2499C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2497C2212yes—
183#2497C2211yescharacteristic
184#2496C2212yes—
185#2496C2212yes—
186#2496C2212yes—
187#2496C2212yes—
188#2496C2211yescharacteristic
189#2496C2212yes—
190#2496C2212yes—
191#2495C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2492C2212yes—
197#2492C2211yescharacteristic
198#2491C2211yescharacteristic
199#2491C2212yes—
200#2490C2212yes—
201#2489C2212yes—
202#2486C2212yes—
203#2486C2212yes—
204#2485C2211yescharacteristic
205#2485C2212yes—
206#2485C2212yes—
207#2485C2212yes—
208#2485C2211yescharacteristic
209#2478C2214yes—
210#2478C2214yes—
211#2477C2214yes—
212#2475C2214yes—
213#2474C2214yes—
214#2469C2214yes—
215#2466C2214yes—
216#2466C2212yes—
217#2465C2214yes—
218#2465C2214yes—
219#2462C2214yes—
220#2459C2212yes—
221#2452C2212yes—
222#2451C2212yes—
223#2447C2214yes—
224#2446C2214yes—
225#2442C2212yes—
226#2442C2212yes—
227#2442C2212yes—
228#2441C2212yes—
229#2441C2212yes—
230#2440C2212yes—
231#2440C2212yes—
232#2440C2212yes—
233#2439C2212yes—
234#2439C2211yescharacteristic
235#2439C2212yes—
236#2439C2212yes—
237#2439C2212yes—
238#2439C2211yescharacteristic
239#2439C2212yes—
240#2421C2212yes—
241#2420C2212yes—
242#2417C2212yes—
243#2415C2211yescharacteristic
244#2414C2211yescharacteristic
245#2401C2212yes—
246#2398C2212yes—
247#2398C2212yes—
248#2396C2214yes—
249#2392C2212yes—
250#2370C2212yes—
251#2369C2211yescharacteristic
252#2369C2211yescharacteristic
253#2365C2212yes—
254#2365C2212yes—
255#2362C2212yes—
256#2361C2212yes—
257#2355C2211yescharacteristic
258#2354C2211yescharacteristic
259#2352C2212yes—
260Q8×C4⋊C4C2211yescharacteristic
261Q8×C4⋊C4C2212yes—
262D4×C4⋊C4C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264#2347C2212yes—
265#2344C2212yes—
266#2344C2212yes—
267#2344C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2320C2212yes—
271#2317C2212yes—
272#2314C2214yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#556—416no—
300#552—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2314yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2314yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2314yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×#117C2314yes—
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2314yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2314yes—
364#401C2312yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#399C2314yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2312yes—
494#393C2312yes—
495#392C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
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#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2314yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#383C2314yes—
706#383C2312yes—
707#383C2312yes—
708#383C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2414yes—
831C4⋊Q8—24no—
832C4⋊Q8—28no—
833C4⋊Q8—24no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838C4⋊Q8—48no—
839#126—28no—
840#126—48no—
841#126—48no—
842#126—48no—
843#126—48no—
844#125—44no—
845#125—44no—
846#125—44no—
847#125—48no—
848#125—44no—
849#124—28no—
850#124—48no—
851#123—48no—
852C22⋊Q8—44no—
853C22⋊Q8—48no—
854C22⋊Q8—48no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C22⋊Q8—42no—
858C22⋊Q8—42no—
859#121—24no—
860#121—42no—
861C4×Q8—24no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×Q8—48no—
866C4×Q8—48no—
867C4×Q8—44no—
868C4×Q8—48no—
869C4×D4—24no—
870C4×D4—24no—
871C4×D4—44no—
872C4×D4—42no—
873C4×D4—42no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—48no—
877#117—24no—
878#117—216no—
879#117—44no—
880#117—44no—
881#117—48no—
882#117—42no—
883#117—44no—
884#117—42no—
885#117—42no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C42—24no—
1012C2×C42—24no—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
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#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2512yes—
1137C24C2511yescharacteristic
1138C24C2511yescharacteristic
1139C2×Q8—24no—
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—28no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—42no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C22×C4—22no—
1170C22×C4—28no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C42−1+414yes—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—22no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4H(5,𝔽2)14yes—
1349C42—28no—
1350C42—28no—
1351C42—24no—
1352C42—22no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—24no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—42no—
1373C42—42no—
1374C42—41no—
1375C42—42no—
1376C42—44no—
1377C42—42no—
1378C42—42no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C422−1+414yes—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—21no—
1396C23—21no—
1397C23—22no—
1398C23—22no—
1399C23—21no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23C2×H(5,𝔽2)12yes—
1405C23C2611yescharacteristic
1406Q8—48no—
1407Q8—44no—
1408Q8—88no—
1409Q8—84no—
1410Q8—88no—
1411Q8—84no—
1412D4—48no—
1413D4—44no—
1414D4—44no—
1415D4—84no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—48no—
1509C2×C4—88no—
1510C2×C4—88no—
1511C2×C4C2×H(5,𝔽2)12yes—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+414yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4C2×2−1+412yes—
1518C2×C4#58512yes—
1519C2×C4#58512yes—
1520C2×C4#58512yes—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—41no—
1530C22—41no—
1531C22—42no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—41no—
1536C22—41no—
1537C22—42no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—42no—
1542C22C22×H(5,𝔽2)11yescharacteristic
1543C22C22×2−1+411yescharacteristic
1544C22C22×2−1+411yescharacteristic
1545C22C2×#58511yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C222−1+611yescharacteristic
1549C4—22no—
1550C4—24no—
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—42no—
1560C4—44no—
1561C4—42no—
1562C4—44no—
1563C4—42no—
1564C4—44no—
1565C4—41no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—44no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—41no—
1578C4—42no—
1579C4#355514yes—
1580C4#356514yes—
1581C2—42no—
1582C2—81no—
1583C2—82no—
1584C2C2×#356511yescharacteristic
1585C2C2×#355511yescharacteristic
1586C2#6275911yescharacteristic
1587C2#6291511yescharacteristic
1588C2#6293611yescharacteristic
1589C2#6295311yescharacteristic
1590C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59871C2semidirect
2. #59711C2semidirect
3. #59428C2semidirect
4. #59305C2semidirect
5. #59218C2semidirect
6. #57068C2semidirect
7. #53921C2semidirect
8. #53133C2semidirect
9. #53097C2semidirect
10. #53083C2semidirect
11. #53081C2semidirect
12. #52870C2semidirect
14. #42597C2semidirect
15. #42513C2semidirect
16. #42501C2semidirect
17. #42179C2semidirect
18. #39681C2semidirect
19. #39181C2semidirect
20. #39158C2semidirect
21. #39077C2semidirect
22. #39032C2semidirect
23. #39026C2semidirect
24. #38964C2semidirect
25. #38931C2semidirect
26. #37637C2semidirect
27. #37623C2semidirect
28. #37597C2semidirect
29. #37571C2semidirect
30. #36480C2semidirect
31. #36301C2semidirect
32. #36181C2semidirect
33. #34978C2semidirect
34. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#598712
#597112
#594282
#593052
#592182
#570682
#539212
#531332
#530972
#530832
#530812
#528702
#425992
#425972
#425132
#425012
#421792
#396812
#391812
#391582
#390772
#390322
#390262
#389642
#389312
#376372
#376232
#375972
#375712
#364802
#363012
#361812
#349782
#348032
#348002