Finite Group Databasebeta

← #8467125

Subgroups — #8467125

Order 512.

4797 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59680C211yesmaximal, characteristic, complemented
3#59680C211yesmaximal, characteristic, complemented
4#58304C214yesmaximal, complemented
5#55336C214yesmaximal, complemented
6#55321C214yesmaximal, complemented
7#53135C212yesmaximal, complemented
8#53117C212yesmaximal, complemented
9#50144C214yesmaximal, complemented
10#46340C212yesmaximal, complemented
11#45514C212yesmaximal, complemented
12#45135C212yesmaximal, complemented
13#45007C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#42650C212yesmaximal, complemented
16#42626C212yesmaximal, complemented
17#42612C212yesmaximal, complemented
18#39962C212yesmaximal, complemented
19#39763C211yesmaximal, characteristic, complemented
20#39498C211yesmaximal, characteristic, complemented
21#39201C212yesmaximal, complemented
22#38975C211yesmaximal, characteristic, complemented
23#38967C211yesmaximal, characteristic, complemented
24#38242C212yesmaximal, complemented
25#38050C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37336C212yesmaximal, complemented
28#37280C212yesmaximal, complemented
29#36573C211yesmaximal, characteristic, complemented
30#36407C211yesmaximal, characteristic, complemented
31#36270C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34951C211yesmaximal, characteristic, complemented
35#34934C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#552C2212yes—
40C2×#542C2212yes—
41C2×#529C2212yes—
42#2860C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2858C2212yes—
48#2857C2212yes—
49#2854C2212yes—
50#2850C2212yes—
51#2837C2214yes—
52#2831C2214yes—
53#2829C2214yes—
54#2824C2214yes—
55#2813C2214yes—
56#2813C2214yes—
57#2813C2214yes—
58#2813C2214yes—
59#2807C2214yes—
60#2800C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2798C2214yes—
64#2788C2214yes—
65#2788C2214yes—
66#2779C2214yes—
67#2761C2214yes—
68#2743C2214yes—
69#2742C2214yes—
70#2740C2214yes—
71#2733C2214yes—
72#2730C2214yes—
73#2727C2214yes—
74#2727C2214yes—
75#2725C2214yes—
76#2722C2214yes—
77#2718C2214yes—
78#2715C2214yes—
79#2715C2214yes—
80#2714C2214yes—
81#2714C2214yes—
82#2712C2214yes—
83#2712C2214yes—
84#2712C2214yes—
85#2710C2214yes—
86#2710C2214yes—
87#2710C2214yes—
88#2708C2214yes—
89#2707C2214yes—
90#2707C2214yes—
91#2705C2214yes—
92#2704C2214yes—
93#2702C2214yes—
94#2701C2214yes—
95#2696C2214yes—
96#2695C2214yes—
97#2695C2214yes—
98#2693C2214yes—
99#2691C2214yes—
100#2686C2214yes—
101#2681C2214yes—
102#2674C2214yes—
103#2672C2214yes—
104#2671C2214yes—
105#2671C2214yes—
106#2671C2214yes—
107#2671C2214yes—
108#2664C2214yes—
109#2662C2214yes—
110#2648C2214yes—
111#2644C2212yes—
112#2644C2212yes—
113#2641C2212yes—
114#2641C2212yes—
115#2639C2214yes—
116#2630C2214yes—
117#2630C2214yes—
118#2628C2212yes—
119#2628C2212yes—
120#2625C2214yes—
121#2624C2214yes—
122#2624C2212yes—
123#2620C2212yes—
124#2601C2214yes—
125#2601C2214yes—
126#2585C2212yes—
127#2585C2212yes—
128#2584C2212yes—
129#2582C2211yescharacteristic
130#2580C2212yes—
131#2580C2212yes—
132#2580C2212yes—
133#2580C2212yes—
134#2574C2214yes—
135#2571C2211yescharacteristic
136#2568C2211yescharacteristic
137#2563C2212yes—
138#2562C2214yes—
139#2562C2212yes—
140#2558C2214yes—
141#2556C2214yes—
142#2554C2212yes—
143#2554C2212yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2551C2211yescharacteristic
148#2550C2212yes—
149#2548C2212yes—
150#2548C2211yescharacteristic
151#2548C2212yes—
152#2548C2211yescharacteristic
153#2546C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2541C2211yescharacteristic
157#2541C2212yes—
158#2541C2211yescharacteristic
159#2541C2212yes—
160#2541C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2538C2211yescharacteristic
165#2537C2212yes—
166#2536C2212yes—
167#2535C2212yes—
168#2535C2212yes—
169#2521C2214yes—
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2512C2211yescharacteristic
176#2512C2211yescharacteristic
177#2511C2212yes—
178#2509C2212yes—
179#2509C2212yes—
180#2509C2211yescharacteristic
181#2509C2211yescharacteristic
182#2507C2212yes—
183#2506C2212yes—
184#2498C2214yes—
185#2491C2214yes—
186#2491C2212yes—
187#2490C2212yes—
188#2486C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2485C2214yes—
193#2479C2214yes—
194#2475C2214yes—
195#2466C2214yes—
196#2461C2214yes—
197#2457C2214yes—
198#2456C2214yes—
199#2456C2214yes—
200#2454C2212yes—
201#2454C2212yes—
202#2454C2212yes—
203#2454C2212yes—
204#2454C2212yes—
205#2454C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2454C2212yes—
209#2454C2212yes—
210#2453C2211yescharacteristic
211#2453C2211yescharacteristic
212#2452C2212yes—
213#2452C2212yes—
214#2446C2212yes—
215#2445C2212yes—
216#2445C2212yes—
217#2445C2212yes—
218#2445C2212yes—
219#2445C2212yes—
220#2445C2211yescharacteristic
221#2445C2212yes—
222#2445C2211yescharacteristic
223#2445C2212yes—
224#2442C2212yes—
225#2442C2212yes—
226#2441C2212yes—
227#2441C2212yes—
228#2439C2212yes—
229#2439C2212yes—
230#2427C2212yes—
231#2427C2212yes—
232#2426C2212yes—
233#2426C2212yes—
234#2425C2214yes—
235#2422C2214yes—
236#2422C2212yes—
237#2420C2212yes—
238#2419C2214yes—
239#2417C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2214yes—
249#2414C2212yes—
250#2402C2212yes—
251#2402C2212yes—
252#2392C2212yes—
253#2392C2212yes—
254#2376C2214yes—
255#2370C2212yes—
256#2369C2212yes—
257#2366C2212yes—
258#2366C2212yes—
259#2354C2211yescharacteristic
260#2354C2211yescharacteristic
261#2354C2211yescharacteristic
262#2354C2211yescharacteristic
263#2354C2212yes—
264#2352C2212yes—
265#2349C2212yes—
266#2349C2212yes—
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270#2330C2212yes—
271#2328C2212yes—
272#2324C2214yes—
273#2324C2212yes—
274#2319C2212yes—
275#2319C2212yes—
276#2317C2212yes—
277#2316C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic
285C4×#127C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#121C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2212yes—
293#2293C2212yes—
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#555—48no—
300#553—48no—
301#553—48no—
302#552—48no—
303#542—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2312yes—
315#529—48no—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
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×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2314yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C42C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2312yes—
526#392C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2314yes—
544#391C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2312yes—
624#389C2314yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2312yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2311yescharacteristic
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#381C2314yes—
747#381C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852#127—24no—
853#127—42no—
854#127—42no—
855#127—44no—
856#127—44no—
857#127—44no—
858#127—42no—
859#126—48no—
860#126—48no—
861#126—48no—
862#126—44no—
863#126—44no—
864#126—48no—
865#125—24no—
866#125—24no—
867#125—44no—
868#125—44no—
869#125—48no—
870#125—44no—
871#125—44no—
872#125—82no—
873#124—48no—
874#124—44no—
875#124—44no—
876#124—48no—
877#124—48no—
878#124—84no—
879#123—44no—
880#123—48no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—44no—
885#123—48no—
886#123—84no—
887#123—84no—
888C22⋊Q8—44no—
889C22⋊Q8—48no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—84no—
894#121—28no—
895#121—48no—
896#121—44no—
897#121—48no—
898#121—44no—
899#121—44no—
900#121—48no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—48no—
906#121—84no—
907#121—84no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×Q8—42no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—48no—
937C4×D4—82no—
938C4×D4—82no—
939#117—28no—
940#117—28no—
941#117—44no—
942#117—48no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—48no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C42—44no—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
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#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2514yes—
1184C24C2512yes—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—41no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—42no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—41no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4H(5,𝔽2)14yes—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C42—22no—
1450C42—24no—
1451C42—28no—
1452C42—22no—
1453C42—24no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—22no—
1467C42—24no—
1468C42—22no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—41no—
1475C42—41no—
1476C42—41no—
1477C42—41no—
1478C42—42no—
1479C42—41no—
1480C42—42no—
1481C42H(5,𝔽2)14yes—
1482C422−1+414yes—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—24no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—24no—
1495C23—24no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23C2611yescharacteristic
1512Q8—44no—
1513Q8—44no—
1514Q8—84no—
1515Q8—164no—
1516D4—48no—
1517D4—48no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—48no—
1522D4—88no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—88no—
1529D4—84no—
1530D4—164no—
1531D4—164no—
1532D4—164no—
1533D4—164no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—88no—
1620C2×C4—84no—
1621C2×C4—88no—
1622C2×C4—84no—
1623C2×C4—164no—
1624C2×C4—164no—
1625C2×C4—164no—
1626C2×C4C2×H(5,𝔽2)14yes—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4#58512yes—
1635C2×C4#58512yes—
1636C2×C4#58512yes—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—44no—
1653C22—42no—
1654C22—44no—
1655C22—42no—
1656C22—42no—
1657C22—44no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—44no—
1663C22—42no—
1664C22—42no—
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×2−1+411yescharacteristic
1668C22C2×#58511yescharacteristic
1669C22C2×#58511yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22H(7,𝔽2)11yescharacteristic
1672C4—24no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—44no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—41no—
1690C4—44no—
1691C4—41no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—44no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4#354814yes—
1702C4#356514yes—
1703C2—82no—
1704C2—82no—
1705C2—82no—
1706C2—84no—
1707C2C2×#356511yescharacteristic
1708C2C2×#354811yescharacteristic
1709C2#6283011yescharacteristic
1710C2#6292311yescharacteristic
1711C2#6292611yescharacteristic
1712C2#6295511yescharacteristic
1713C2#6302111yescharacteristic
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. #59680C2semidirect
3. #59680C2semidirect
4. #58304C2semidirect
5. #55336C2semidirect
6. #55321C2semidirect
7. #53135C2semidirect
8. #53117C2semidirect
9. #50144C2semidirect
10. #46340C2semidirect
11. #45514C2semidirect
12. #45135C2semidirect
13. #45007C2semidirect
14. #42674C2semidirect
15. #42650C2semidirect
16. #42626C2semidirect
17. #42612C2semidirect
18. #39962C2semidirect
19. #39763C2semidirect
20. #39498C2semidirect
21. #39201C2semidirect
22. #38975C2semidirect
23. #38967C2semidirect
24. #38242C2semidirect
25. #38050C2semidirect
26. #37625C2semidirect
27. #37336C2semidirect
28. #37280C2semidirect
29. #36573C2semidirect
30. #36407C2semidirect
31. #36270C2semidirect
32. #35198C2semidirect
33. #35197C2semidirect
34. #34951C2semidirect
35. #34934C2semidirect

Maximal subgroups

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

subgroupindex
#598222
#596802
#583042
#553362
#553212
#531352
#531172
#501442
#463402
#455142
#451352
#450072
#426742
#426502
#426262
#426122
#399622
#397632
#394982
#392012
#389752
#389672
#382422
#380502
#376252
#373362
#372802
#365732
#364072
#362702
#351982
#351972
#349512
#349342