Finite Group Databasebeta

← #8458948

Subgroups — #8458948

Order 512.

4793 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59647C211yesmaximal, characteristic, complemented
4#58577C214yesmaximal, complemented
5#58420C214yesmaximal, complemented
6#56855C214yesmaximal, complemented
7#53110C212yesmaximal, complemented
8#52970C212yesmaximal, complemented
9#49617C214yesmaximal, complemented
10#46042C212yesmaximal, complemented
11#45594C212yesmaximal, complemented
12#45034C212yesmaximal, complemented
13#44888C212yesmaximal, complemented
14#42965C212yesmaximal, complemented
15#42601C212yesmaximal, complemented
16#42472C212yesmaximal, complemented
17#42442C212yesmaximal, complemented
18#39505C211yesmaximal, characteristic, complemented
19#39426C212yesmaximal, complemented
20#39378C211yesmaximal, characteristic, complemented
21#39369C211yesmaximal, characteristic, complemented
22#39002C212yesmaximal, complemented
23#38967C211yesmaximal, characteristic, complemented
24#38941C212yesmaximal, complemented
25#37987C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37366C212yesmaximal, complemented
28#37301C212yesmaximal, complemented
29#36559C211yesmaximal, characteristic, complemented
30#36535C211yesmaximal, characteristic, complemented
31#36174C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34954C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yes—
39C2×#542C2212yes—
40C2×#540C2212yes—
41C2×#540C2212yes—
42#2868C2211yescharacteristic
43#2864C2212yes—
44#2860C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2858C2212yes—
48#2856C2212yes—
49#2854C2212yes—
50#2850C2212yes—
51#2829C2214yes—
52#2829C2214yes—
53#2828C2214yes—
54#2827C2214yes—
55#2826C2214yes—
56#2824C2214yes—
57#2820C2214yes—
58#2814C2214yes—
59#2808C2214yes—
60#2797C2214yes—
61#2797C2214yes—
62#2796C2214yes—
63#2795C2214yes—
64#2788C2214yes—
65#2779C2214yes—
66#2777C2214yes—
67#2770C2214yes—
68#2761C2214yes—
69#2761C2214yes—
70#2750C2214yes—
71#2743C2214yes—
72#2743C2214yes—
73#2742C2214yes—
74#2737C2214yes—
75#2737C2214yes—
76#2733C2214yes—
77#2731C2214yes—
78#2730C2214yes—
79#2720C2214yes—
80#2711C2214yes—
81#2710C2214yes—
82#2705C2214yes—
83#2705C2214yes—
84#2701C2214yes—
85#2701C2214yes—
86#2700C2214yes—
87#2700C2214yes—
88#2700C2214yes—
89#2698C2214yes—
90#2696C2214yes—
91#2696C2214yes—
92#2689C2214yes—
93#2686C2214yes—
94#2686C2214yes—
95#2686C2214yes—
96#2681C2214yes—
97#2681C2214yes—
98#2681C2214yes—
99#2677C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2676C2214yes—
103#2676C2214yes—
104#2674C2214yes—
105#2672C2214yes—
106#2671C2214yes—
107#2671C2214yes—
108#2662C2214yes—
109#2661C2214yes—
110#2651C2214yes—
111#2640C2214yes—
112#2638C2214yes—
113#2635C2214yes—
114#2629C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2627C2214yes—
118#2624C2212yes—
119#2624C2212yes—
120#2621C2214yes—
121#2620C2212yes—
122#2619C2212yes—
123#2619C2212yes—
124#2611C2214yes—
125#2600C2214yes—
126#2600C2214yes—
127#2593C2212yes—
128#2593C2212yes—
129#2590C2214yes—
130#2589C2212yes—
131#2588C2214yes—
132#2587C2212yes—
133#2584C2211yescharacteristic
134#2582C2211yescharacteristic
135#2581C2212yes—
136#2580C2211yescharacteristic
137#2571C2211yescharacteristic
138#2571C2211yescharacteristic
139#2570C2212yes—
140#2566C2211yescharacteristic
141#2566C2212yes—
142#2566C2212yes—
143#2565C2212yes—
144#2563C2212yes—
145#2563C2212yes—
146#2558C2214yes—
147#2552C2211yescharacteristic
148#2551C2212yes—
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2211yescharacteristic
152#2550C2212yes—
153#2548C2212yes—
154#2548C2212yes—
155#2548C2211yescharacteristic
156#2548C2211yescharacteristic
157#2548C2211yescharacteristic
158#2544C2212yes—
159#2544C2212yes—
160#2542C2212yes—
161#2541C2211yescharacteristic
162#2541C2211yescharacteristic
163#2541C2212yes—
164#2541C2211yescharacteristic
165#2540C2214yes—
166#2538C2212yes—
167#2538C2211yescharacteristic
168#2538C2212yes—
169#2537C2211yescharacteristic
170#2537C2211yescharacteristic
171#2537C2212yes—
172#2529C2214yes—
173#2526C2214yes—
174#2522C2212yes—
175#2518C2214yes—
176#2513C2211yescharacteristic
177#2513C2212yes—
178#2513C2212yes—
179#2513C2212yes—
180#2513C2211yescharacteristic
181#2509C2212yes—
182#2509C2211yescharacteristic
183#2507C2211yescharacteristic
184#2506C2212yes—
185#2504C2212yes—
186#2504C2212yes—
187#2500C2212yes—
188#2497C2212yes—
189#2495C2212yes—
190#2492C2212yes—
191#2491C2214yes—
192#2491C2212yes—
193#2491C2212yes—
194#2491C2212yes—
195#2490C2212yes—
196#2490C2212yes—
197#2490C2212yes—
198#2490C2212yes—
199#2489C2212yes—
200#2486C2212yes—
201#2486C2212yes—
202#2470C2214yes—
203#2465C2212yes—
204#2464C2214yes—
205#2461C2214yes—
206#2461C2214yes—
207#2461C2214yes—
208#2454C2211yescharacteristic
209#2454C2212yes—
210#2452C2212yes—
211#2452C2212yes—
212#2452C2212yes—
213#2452C2211yescharacteristic
214#2452C2212yes—
215#2452C2212yes—
216#2452C2212yes—
217#2448C2212yes—
218#2448C2211yescharacteristic
219#2448C2211yescharacteristic
220#2447C2212yes—
221#2447C2212yes—
222#2445C2212yes—
223#2443C2214yes—
224#2442C2212yes—
225#2441C2212yes—
226#2440C2212yes—
227#2439C2212yes—
228#2439C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yes—
233#2427C2214yes—
234#2426C2212yes—
235#2422C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2420C2212yes—
240#2420C2212yes—
241#2420C2212yes—
242#2420C2212yes—
243#2416C2212yes—
244#2416C2214yes—
245#2416C2212yes—
246#2414C2212yes—
247#2414C2214yes—
248#2414C2212yes—
249#2413C2214yes—
250#2396C2212yes—
251#2396C2212yes—
252#2395C2212yes—
253#2395C2212yes—
254#2377C2214yes—
255#2370C2212yes—
256#2366C2212yes—
257#2366C2212yes—
258#2363C2212yes—
259#2361C2212yes—
260#2361C2212yes—
261#2355C2212yes—
262#2355C2211yescharacteristic
263#2355C2211yescharacteristic
264#2354C2211yescharacteristic
265#2354C2211yescharacteristic
266#2354C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2212yes—
271#2346C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2319C2214yes—
275#2316C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2212yes—
283C4×#125C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2212yes—
288C4×C22⋊Q8C2212yes—
289#2296C2212yes—
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#555—48no—
300#554—48no—
301#544—48no—
302#542—48no—
303#540—48no—
304#540—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C2×#117C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2312yes—
402C22×C42C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2312yes—
473#395C2314yes—
474#395C2312yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2312yes—
517#393C2312yes—
518#393C2314yes—
519#393C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2314yes—
536#391C2312yes—
537#391C2314yes—
538#391C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#383C2314yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—48no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—82no—
854#127—24no—
855#127—24no—
856#127—44no—
857#127—44no—
858#127—44no—
859#126—48no—
860#125—28no—
861#125—24no—
862#125—28no—
863#125—42no—
864#125—48no—
865#125—44no—
866#124—48no—
867#124—42no—
868#124—42no—
869#124—44no—
870#124—48no—
871#124—44no—
872#124—48no—
873#124—84no—
874#124—84no—
875#123—48no—
876#123—48no—
877#123—48no—
878#123—48no—
879#123—48no—
880C22⋊Q8—44no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—84no—
889#121—28no—
890#121—48no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—48no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—48no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—84no—
906#121—84no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—44no—
911C4×Q8—42no—
912C4×Q8—42no—
913C4×Q8—42no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—82no—
932C4×D4—82no—
933C4×D4—84no—
934#117—28no—
935#117—28no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—48no—
940#117—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—48no—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C42—44no—
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2514yes—
1180C24C2512yes—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—41no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4H(5,𝔽2)14yes—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C42—28no—
1442C42—24no—
1443C42—22no—
1444C42—24no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—22no—
1452C42—24no—
1453C42—22no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—42no—
1461C42—42no—
1462C42—44no—
1463C42—44no—
1464C42—41no—
1465C42—41no—
1466C42—44no—
1467C42—41no—
1468C42—41no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—41no—
1473C42H(5,𝔽2)14yes—
1474C422−1+414yes—
1475C23—22no—
1476C23—22no—
1477C23—24no—
1478C23—24no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—24no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—24no—
1503C23C2611yescharacteristic
1504Q8—44no—
1505Q8—44no—
1506Q8—84no—
1507Q8—164no—
1508Q8—164no—
1509D4—48no—
1510D4—48no—
1511D4—44no—
1512D4—44no—
1513D4—44no—
1514D4—48no—
1515D4—88no—
1516D4—84no—
1517D4—84no—
1518D4—88no—
1519D4—164no—
1520D4—164no—
1521D4—164no—
1522D4—164no—
1523D4—164no—
1524D4—164no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—84no—
1614C2×C4—164no—
1615C2×C4—164no—
1616C2×C4—164no—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4C2×H(5,𝔽2)14yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×2−1+412yes—
1623C2×C4C2×2−1+412yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C2×C4#58512yes—
1628C22—42no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—44no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—44no—
1655C22—42no—
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C22×2−1+411yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22H(7,𝔽2)11yescharacteristic
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—44no—
1678C4—42no—
1679C4—41no—
1680C4—44no—
1681C4—41no—
1682C4—44no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4#354714yes—
1693C4#355414yes—
1694C2—82no—
1695C2—82no—
1696C2—82no—
1697C2—84no—
1698C2C2×#355411yescharacteristic
1699C2C2×#354711yescharacteristic
1700C2#6283011yescharacteristic
1701C2#6291611yescharacteristic
1702C2#6292611yescharacteristic
1703C2#6293811yescharacteristic
1704C2#6302411yescharacteristic
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. #59822C2semidirect
2. #59647C2semidirect
3. #59647C2semidirect
4. #58577C2semidirect
5. #58420C2semidirect
6. #56855C2semidirect
7. #53110C2semidirect
8. #52970C2semidirect
9. #49617C2semidirect
10. #46042C2semidirect
11. #45594C2semidirect
12. #45034C2semidirect
13. #44888C2semidirect
14. #42965C2semidirect
15. #42601C2semidirect
16. #42472C2semidirect
17. #42442C2semidirect
18. #39505C2semidirect
19. #39426C2semidirect
20. #39378C2semidirect
21. #39369C2semidirect
22. #39002C2semidirect
23. #38967C2semidirect
24. #38941C2semidirect
25. #37987C2semidirect
26. #37626C2semidirect
27. #37366C2semidirect
28. #37301C2semidirect
29. #36559C2semidirect
30. #36535C2semidirect
31. #36174C2semidirect
32. #35198C2semidirect
33. #35171C2semidirect
34. #34954C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#598222
#596472
#585772
#584202
#568552
#531102
#529702
#496172
#460422
#455942
#450342
#448882
#429652
#426012
#424722
#424422
#395052
#394262
#393782
#393692
#390022
#389672
#389412
#379872
#376262
#373662
#373012
#365592
#365352
#361742
#351982
#351712
#349542
#348932