Finite Group Databasebeta

← #8463285

Subgroups — #8463285

Order 512.

4312 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59456C211yesmaximal, characteristic, complemented
2#59304C211yesmaximal, characteristic, complemented
3#59212C211yesmaximal, characteristic, complemented
4#56969C214yesmaximal, complemented
5#55365C214yesmaximal, complemented
6#54707C214yesmaximal, complemented
7#53134C212yesmaximal, complemented
8#53056C212yesmaximal, complemented
9#48385C214yesmaximal, complemented
10#46158C212yesmaximal, complemented
11#46079C212yesmaximal, complemented
12#45264C212yesmaximal, complemented
13#45165C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#42656C212yesmaximal, complemented
16#42625C212yesmaximal, complemented
17#42501C212yesmaximal, complemented
18#40003C212yesmaximal, complemented
19#39737C211yesmaximal, characteristic, complemented
20#39498C211yesmaximal, characteristic, complemented
21#39485C212yesmaximal, complemented
22#39226C212yesmaximal, complemented
23#39156C211yesmaximal, characteristic, complemented
24#38966C211yesmaximal, characteristic, complemented
25#38260C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37410C212yesmaximal, complemented
28#37328C212yesmaximal, complemented
29#36449C211yesmaximal, characteristic, complemented
30#36272C211yesmaximal, characteristic, complemented
31#36181C211yesmaximal, characteristic, complemented
32#35286C211yesmaximal, characteristic, complemented
33#35202C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#552C2212yes—
38C2×#552C2212yes—
39#2864C2212yes—
40#2863C2212yes—
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2859C2212yes—
44#2859C2212yes—
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2837C2214yes—
49#2836C2214yes—
50#2830C2214yes—
51#2829C2214yes—
52#2827C2214yes—
53#2827C2214yes—
54#2820C2214yes—
55#2813C2214yes—
56#2810C2214yes—
57#2807C2214yes—
58#2805C2214yes—
59#2802C2214yes—
60#2798C2214yes—
61#2796C2214yes—
62#2791C2214yes—
63#2790C2214yes—
64#2788C2214yes—
65#2788C2214yes—
66#2783C2214yes—
67#2783C2214yes—
68#2781C2214yes—
69#2778C2214yes—
70#2777C2214yes—
71#2777C2214yes—
72#2776C2214yes—
73#2776C2214yes—
74#2773C2214yes—
75#2773C2214yes—
76#2773C2214yes—
77#2773C2214yes—
78#2772C2214yes—
79#2772C2214yes—
80#2768C2214yes—
81#2766C2214yes—
82#2755C2214yes—
83#2745C2214yes—
84#2744C2214yes—
85#2741C2214yes—
86#2740C2214yes—
87#2740C2214yes—
88#2737C2214yes—
89#2727C2214yes—
90#2725C2214yes—
91#2725C2214yes—
92#2725C2214yes—
93#2725C2214yes—
94#2721C2214yes—
95#2719C2214yes—
96#2718C2214yes—
97#2718C2214yes—
98#2710C2214yes—
99#2707C2214yes—
100#2706C2214yes—
101#2705C2214yes—
102#2701C2214yes—
103#2701C2214yes—
104#2694C2214yes—
105#2667C2214yes—
106#2652C2214yes—
107#2652C2214yes—
108#2651C2214yes—
109#2649C2214yes—
110#2647C2214yes—
111#2644C2212yes—
112#2630C2214yes—
113#2629C2212yes—
114#2629C2212yes—
115#2628C2212yes—
116#2625C2212yes—
117#2624C2214yes—
118#2624C2212yes—
119#2620C2212yes—
120#2620C2212yes—
121#2611C2214yes—
122#2606C2214yes—
123#2595C2214yes—
124#2585C2214yes—
125#2584C2212yes—
126#2584C2212yes—
127#2580C2212yes—
128#2578C2214yes—
129#2577C2214yes—
130#2571C2212yes—
131#2571C2211yescharacteristic
132#2571C2211yescharacteristic
133#2566C2212yes—
134#2565C2212yes—
135#2565C2212yes—
136#2562C2212yes—
137#2553C2214yes—
138#2553C2214yes—
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2547C2211yescharacteristic
147#2542C2211yescharacteristic
148#2538C2212yes—
149#2537C2211yescharacteristic
150#2535C2212yes—
151#2532C2212yes—
152#2531C2212yes—
153#2530C2214yes—
154#2529C2212yes—
155#2526C2212yes—
156#2518C2212yes—
157#2518C2212yes—
158#2517C2214yes—
159#2513C2211yescharacteristic
160#2512C2211yescharacteristic
161#2511C2212yes—
162#2509C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2508C2211yescharacteristic
166#2507C2212yes—
167#2507C2211yescharacteristic
168#2506C2212yes—
169#2506C2212yes—
170#2504C2212yes—
171#2503C2212yes—
172#2501C2212yes—
173#2500C2211yescharacteristic
174#2500C2211yescharacteristic
175#2499C2212yes—
176#2499C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2497C2211yescharacteristic
181#2496C2212yes—
182#2496C2212yes—
183#2496C2212yes—
184#2496C2212yes—
185#2495C2212yes—
186#2495C2211yescharacteristic
187#2494C2212yes—
188#2494C2212yes—
189#2491C2211yescharacteristic
190#2490C2212yes—
191#2490C2212yes—
192#2490C2211yescharacteristic
193#2489C2212yes—
194#2487C2212yes—
195#2486C2212yes—
196#2486C2212yes—
197#2485C2214yes—
198#2485C2211yescharacteristic
199#2485C2212yes—
200#2485C2212yes—
201#2485C2212yes—
202#2485C2211yescharacteristic
203#2479C2214yes—
204#2478C2214yes—
205#2470C2214yes—
206#2470C2214yes—
207#2470C2214yes—
208#2467C2212yes—
209#2466C2214yes—
210#2466C2214yes—
211#2459C2212yes—
212#2454C2212yes—
213#2454C2212yes—
214#2453C2212yes—
215#2451C2212yes—
216#2448C2212yes—
217#2443C2214yes—
218#2442C2214yes—
219#2442C2212yes—
220#2442C2212yes—
221#2442C2212yes—
222#2442C2212yes—
223#2441C2212yes—
224#2441C2212yes—
225#2441C2212yes—
226#2441C2212yes—
227#2441C2212yes—
228#2441C2211yescharacteristic
229#2441C2212yes—
230#2441C2214yes—
231#2441C2212yes—
232#2441C2212yes—
233#2439C2211yescharacteristic
234#2427C2212yes—
235#2426C2212yes—
236#2423C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2421C2212yes—
240#2421C2212yes—
241#2416C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2414C2212yes—
245#2414C2211yescharacteristic
246#2414C2211yescharacteristic
247#2398C2212yes—
248#2395C2212yes—
249#2392C2212yes—
250#2392C2212yes—
251#2382C2214yes—
252#2365C2211yescharacteristic
253#2365C2211yescharacteristic
254#2363C2212yes—
255#2360C2212yes—
256#2355C2212yes—
257#2354C2211yescharacteristic
258#2354C2211yescharacteristic
259#2352C2212yes—
260#2352C2212yes—
261#2351C2212yes—
262D4×C4⋊C4C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265#2345C2212yes—
266#2344C2212yes—
267#2344C2212yes—
268#2335C2214yes—
269#2330C2212yes—
270#2330C2212yes—
271#2330C2212yes—
272#2323C2212yes—
273#2317C2212yes—
274#2317C2212yes—
275#2317C2212yes—
276#2316C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#126C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#553—48no—
300#552—48no—
301#552—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×#126C2312yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2314yes—
362C2×#117C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370#401C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#399C2312yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#395C2314yes—
468#395C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#393C2312yes—
491#393C2314yes—
492#393C2312yes—
493#392C2314yes—
494#392C2312yes—
495#392C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2314yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#383C2312yes—
712#383C2314yes—
713#383C2312yes—
714#382C2311yescharacteristic
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#382C2314yes—
724#382C2311yescharacteristic
725#382C2314yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2312yes—
729#381C2314yes—
730#381C2314yes—
731#381C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2414yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2414yes—
834C4⋊Q8—24no—
835C4⋊Q8—42no—
836#126—48no—
837#126—44no—
838#126—48no—
839#126—48no—
840#125—44no—
841#125—44no—
842#125—44no—
843#125—42no—
844#125—48no—
845#125—48no—
846#125—44no—
847#125—44no—
848#125—44no—
849#125—48no—
850#124—44no—
851#124—44no—
852#123—48no—
853#123—48no—
854#123—48no—
855#123—48no—
856C22⋊Q8—28no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860#121—24no—
861#121—44no—
862#121—42no—
863#121—42no—
864#121—42no—
865#121—44no—
866#121—48no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×D4—24no—
872C4×D4—28no—
873C4×D4—24no—
874C4×D4—24no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—42no—
882C4×D4—48no—
883#117—24no—
884#117—44no—
885#117—44no—
886#117—44no—
887#117—48no—
888#117—48no—
889#117—42no—
890#117—44no—
891#117—42no—
892#117—42no—
893#117—44no—
894#117—44no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C42—24no—
1036C2×C42—24no—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2511yescharacteristic
1145C24C2512yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—41no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—28no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—41no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—41no—
1204C22×C4—44no—
1205C22×C4—41no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4H(5,𝔽2)14yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2514yes—
1233C22×C4C2514yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—28no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C22⋊C4—24no—
1323C22⋊C4—22no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—22no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—22no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—41no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—24no—
1388C42—22no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—22no—
1394C42—24no—
1395C42—42no—
1396C42—41no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C42—44no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42—41no—
1407C42—44no—
1408C42—42no—
1409C422−1+414yes—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—21no—
1422C23—22no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23C2×H(5,𝔽2)12yes—
1438C23C2611yescharacteristic
1439Q8—48no—
1440Q8—84no—
1441D4—44no—
1442D4—48no—
1443D4—44no—
1444D4—44no—
1445D4—84no—
1446D4—84no—
1447D4—84no—
1448D4—164no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—28no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—44no—
1535C2×C4—48no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—48no—
1540C2×C4—82no—
1541C2×C4—88no—
1542C2×C4—88no—
1543C2×C4—164no—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×2−1+412yes—
1547C2×C4C2×2−1+412yes—
1548C2×C4C2×2−1+412yes—
1549C2×C4#58512yes—
1550C2×C4#58512yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—41no—
1565C22—42no—
1566C22—41no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—41no—
1575C22—41no—
1576C22—42no—
1577C22—42no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22C22×H(5,𝔽2)11yescharacteristic
1582C22C22×2−1+411yescharacteristic
1583C22C2×#58511yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22C2×#58511yescharacteristic
1586C22C2×#58511yescharacteristic
1587C222−1+611yescharacteristic
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—42no—
1593C4—44no—
1594C4—41no—
1595C4—41no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—41no—
1602C4—42no—
1603C4—44no—
1604C4—44no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—44no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—41no—
1613C4—41no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4#355914yes—
1618C4#356514yes—
1619C2—42no—
1620C2—81no—
1621C2—82no—
1622C2—82no—
1623C2C2×#355911yescharacteristic
1624C2C2×#356511yescharacteristic
1625C2#6283611yescharacteristic
1626C2#6292511yescharacteristic
1627C2#6292811yescharacteristic
1628C2#6293911yescharacteristic
1629C2#6303111yescharacteristic
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. #59456C2semidirect
2. #59304C2semidirect
3. #59212C2semidirect
4. #56969C2semidirect
5. #55365C2semidirect
6. #54707C2semidirect
7. #53134C2semidirect
8. #53056C2semidirect
9. #48385C2semidirect
10. #46158C2semidirect
11. #46079C2semidirect
12. #45264C2semidirect
13. #45165C2semidirect
14. #42674C2semidirect
15. #42656C2semidirect
16. #42625C2semidirect
17. #42501C2semidirect
18. #40003C2semidirect
19. #39737C2semidirect
20. #39498C2semidirect
21. #39485C2semidirect
22. #39226C2semidirect
23. #39156C2semidirect
24. #38966C2semidirect
25. #38260C2semidirect
26. #37627C2semidirect
27. #37410C2semidirect
28. #37328C2semidirect
29. #36449C2semidirect
30. #36272C2semidirect
31. #36181C2semidirect
32. #35286C2semidirect
33. #35202C2semidirect
34. #34800C2semidirect
35. #34797C2semidirect

Maximal subgroups

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

subgroupindex
#594562
#593042
#592122
#569692
#553652
#547072
#531342
#530562
#483852
#461582
#460792
#452642
#451652
#426742
#426562
#426252
#425012
#400032
#397372
#394982
#394852
#392262
#391562
#389662
#382602
#376272
#374102
#373282
#364492
#362722
#361812
#352862
#352022
#348002
#347972