Finite Group Databasebeta

← #8464304

Subgroups — #8464304

Order 512.

4793 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59864C211yesmaximal, characteristic, complemented
2#59665C211yesmaximal, characteristic, complemented
3#59457C211yesmaximal, characteristic, complemented
4#58014C214yesmaximal, complemented
5#53871C214yesmaximal, complemented
6#53711C214yesmaximal, complemented
7#52989C212yesmaximal, complemented
8#52979C212yesmaximal, complemented
9#50637C214yesmaximal, complemented
10#46056C212yesmaximal, complemented
11#45718C212yesmaximal, complemented
12#45376C212yesmaximal, complemented
13#45100C212yesmaximal, complemented
14#42612C212yesmaximal, complemented
15#42540C212yesmaximal, complemented
16#42524C212yesmaximal, complemented
17#42467C212yesmaximal, complemented
18#39718C212yesmaximal, complemented
19#39409C212yesmaximal, complemented
20#39397C212yesmaximal, complemented
21#39386C211yesmaximal, characteristic
22#39201C211yesmaximal, characteristic, complemented
23#38985C211yesmaximal, characteristic, complemented
24#38985C211yesmaximal, characteristic, complemented
25#38969C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37336C212yesmaximal, complemented
28#37274C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36595C211yesmaximal, characteristic, complemented
31#36463C211yesmaximal, characteristic, complemented
32#35197C211yesmaximal, characteristic, complemented
33#35185C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34920C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2212yes—
38C2×#540C2212yes—
39C2×#539C2214yes—
40C2×#533C2212yes—
41#2867C2211yescharacteristic
42#2864C2212yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2858C2211yescharacteristic
46#2858C2212yes—
47#2854C2212yes—
48#2854C2212yes—
49#2850C2212yes—
50#2832C2214yes—
51#2830C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2827C2214yes—
56#2827C2214yes—
57#2824C2214yes—
58#2804C2214yes—
59#2799C2214yes—
60#2780C2214yes—
61#2751C2214yes—
62#2751C2214yes—
63#2750C2214yes—
64#2743C2214yes—
65#2741C2214yes—
66#2731C2214yes—
67#2730C2214yes—
68#2728C2214yes—
69#2724C2214yes—
70#2723C2214yes—
71#2717C2214yes—
72#2715C2214yes—
73#2715C2214yes—
74#2715C2214yes—
75#2712C2214yes—
76#2712C2214yes—
77#2711C2214yes—
78#2710C2214yes—
79#2710C2214yes—
80#2708C2214yes—
81#2707C2214yes—
82#2705C2214yes—
83#2705C2214yes—
84#2701C2214yes—
85#2701C2214yes—
86#2700C2214yes—
87#2700C2214yes—
88#2696C2214yes—
89#2696C2214yes—
90#2694C2214yes—
91#2694C2214yes—
92#2694C2214yes—
93#2693C2214yes—
94#2691C2214yes—
95#2691C2214yes—
96#2686C2214yes—
97#2686C2214yes—
98#2681C2214yes—
99#2681C2214yes—
100#2674C2214yes—
101#2674C2214yes—
102#2674C2214yes—
103#2673C2214yes—
104#2673C2214yes—
105#2672C2214yes—
106#2672C2214yes—
107#2662C2214yes—
108#2650C2214yes—
109#2648C2214yes—
110#2644C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2641C2212yes—
114#2639C2214yes—
115#2636C2214yes—
116#2630C2214yes—
117#2630C2214yes—
118#2630C2214yes—
119#2624C2212yes—
120#2624C2212yes—
121#2620C2212yes—
122#2619C2212yes—
123#2592C2212yes—
124#2592C2212yes—
125#2590C2212yes—
126#2588C2212yes—
127#2584C2212yes—
128#2584C2211yescharacteristic
129#2581C2211yescharacteristic
130#2580C2212yes—
131#2580C2212yes—
132#2580C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2580C2212yes—
136#2571C2211yescharacteristic
137#2571C2211yescharacteristic
138#2567C2211yescharacteristic
139#2566C2212yes—
140#2566C2212yes—
141#2565C2211yescharacteristic
142#2563C2211yescharacteristic
143#2563C2212yes—
144#2563C2212yes—
145#2558C2214yes—
146#2557C2214yes—
147#2556C2212yes—
148#2556C2212yes—
149#2552C2211yescharacteristic
150#2551C2211yescharacteristic
151#2550C2212yes—
152#2550C2211yescharacteristic
153#2548C2212yes—
154#2548C2212yes—
155#2548C2212yes—
156#2548C2211yescharacteristic
157#2548C2211yescharacteristic
158#2548C2212yes—
159#2548C2212yes—
160#2548C2212yes—
161#2546C2211yescharacteristic
162#2544C2212yes—
163#2544C2214yes—
164#2544C2212yes—
165#2542C2211yescharacteristic
166#2541C2212yes—
167#2541C2211yescharacteristic
168#2541C2211yescharacteristic
169#2541C2212yes—
170#2538C2211yescharacteristic
171#2538C2212yes—
172#2538C2212yes—
173#2538C2212yes—
174#2538C2211yescharacteristic
175#2520C2212yes—
176#2513C2212yes—
177#2513C2212yes—
178#2513C2212yes—
179#2513C2212yes—
180#2512C2212yes—
181#2512C2212yes—
182#2512C2212yes—
183#2512C2212yes—
184#2509C2212yes—
185#2509C2212yes—
186#2509C2212yes—
187#2508C2211yescharacteristic
188#2506C2212yes—
189#2506C2212yes—
190#2506C2211yescharacteristic
191#2506C2211yescharacteristic
192#2506C2211yescharacteristic
193#2496C2212yes—
194#2492C2212yes—
195#2491C2212yes—
196#2490C2212yes—
197#2487C2214yes—
198#2486C2214yes—
199#2481C2214yes—
200#2469C2214yes—
201#2468C2214yes—
202#2463C2214yes—
203#2462C2212yes—
204#2461C2214yes—
205#2460C2214yes—
206#2460C2214yes—
207#2459C2214yes—
208#2457C2214yes—
209#2454C2212yes—
210#2454C2212yes—
211#2453C2214yes—
212#2453C2211yescharacteristic
213#2452C2212yes—
214#2452C2212yes—
215#2452C2212yes—
216#2452C2211yescharacteristic
217#2452C2211yescharacteristic
218#2451C2211yescharacteristic
219#2450C2214yes—
220#2447C2212yes—
221#2447C2212yes—
222#2445C2212yes—
223#2445C2212yes—
224#2445C2212yes—
225#2445C2212yes—
226#2445C2212yes—
227#2445C2212yes—
228#2445C2212yes—
229#2445C2212yes—
230#2445C2214yes—
231#2445C2212yes—
232#2445C2212yes—
233#2445C2212yes—
234#2445C2212yes—
235#2443C2214yes—
236#2429C2212yes—
237#2428C2212yes—
238#2428C2212yes—
239#2427C2212yes—
240#2427C2212yes—
241#2425C2214yes—
242#2422C2212yes—
243#2422C2212yes—
244#2421C2212yes—
245#2420C2212yes—
246#2420C2212yes—
247#2419C2214yes—
248#2419C2214yes—
249#2402C2212yes—
250#2399C2212yes—
251#2396C2212yes—
252#2396C2212yes—
253#2376C2214yes—
254#2370C2212yes—
255#2369C2211yescharacteristic
256#2369C2211yescharacteristic
257#2366C2212yes—
258#2366C2211yescharacteristic
259#2366C2212yes—
260#2366C2212yes—
261#2366C2212yes—
262#2366C2211yescharacteristic
263#2366C2211yescharacteristic
264#2366C2211yescharacteristic
265#2357C2212yes—
266#2355C2212yes—
267#2349C2212yes—
268#2349C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271#2328C2212yes—
272#2324C2212yes—
273#2323C2212yes—
274#2319C2212yes—
275#2319C2212yes—
276#2319C2212yes—
277#2314C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2212yes—
284C4×#127C2211yescharacteristic
285C4×#127C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#125C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×#121C2212yes—
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#559—48no—
300#559—48no—
301#540—48no—
302#539—416no—
303#533—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C42C2312yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
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#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2314yes—
475#395C2314yes—
476#395C2312yes—
477#395C2312yes—
478#395C2312yes—
479#395C2312yes—
480#395C2312yes—
481#395C2314yes—
482#395C2312yes—
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#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2312yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2314yes—
543#391C2314yes—
544#391C2314yes—
545#391C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
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#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#385C2314yes—
713#385C2314yes—
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#385C2312yes—
730#385C2312yes—
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2312yes—
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C4⋊Q8—24no—
847C4⋊Q8—42no—
848C4⋊Q8—42no—
849C4⋊Q8—42no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853#127—28no—
854#127—24no—
855#127—24no—
856#127—44no—
857#127—44no—
858#127—44no—
859#127—44no—
860#127—44no—
861#127—44no—
862#127—82no—
863#126—48no—
864#126—48no—
865#126—84no—
866#125—28no—
867#125—24no—
868#125—42no—
869#125—44no—
870#125—44no—
871#125—44no—
872#125—48no—
873#124—44no—
874#124—44no—
875#124—44no—
876#124—44no—
877#124—48no—
878#124—48no—
879#124—82no—
880#124—84no—
881#124—82no—
882#124—84no—
883#123—216no—
884#123—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—84no—
893C22⋊Q8—28no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—84no—
902#121—48no—
903#121—48no—
904#121—48no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—84no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—42no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—42no—
921C4×D4—24no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4—48no—
942#117—28no—
943#117—44no—
944C2×C4⋊C4—48no—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C42—44no—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2512yes—
1179C24C2514yes—
1180C24C2514yes—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—41no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
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—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
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×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—42no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4H(5,𝔽2)14yes—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
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—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—22no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—42no—
1461C42—42no—
1462C42—44no—
1463C42—44no—
1464C42—42no—
1465C42—42no—
1466C42—41no—
1467C42—41no—
1468C42—44no—
1469C42—41no—
1470C42H(5,𝔽2)14yes—
1471C422−1+414yes—
1472C23—22no—
1473C23—24no—
1474C23—22no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—24no—
1484C23—24no—
1485C23—24no—
1486C23—24no—
1487C23—22no—
1488C23—22no—
1489C23—24no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23C2611yescharacteristic
1494Q8—44no—
1495Q8—44no—
1496Q8—84no—
1497Q8—84no—
1498Q8—84no—
1499Q8—84no—
1500Q8—84no—
1501D4—48no—
1502D4—48no—
1503D4—44no—
1504D4—48no—
1505D4—48no—
1506D4—88no—
1507D4—88no—
1508D4—84no—
1509D4—84no—
1510D4—88no—
1511D4—88no—
1512D4—164no—
1513D4—164no—
1514D4—164no—
1515D4—164no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—48no—
1601C2×C4—88no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—164no—
1605C2×C4—164no—
1606C2×C4—164no—
1607C2×C4—164no—
1608C2×C4—164no—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—44no—
1627C22—44no—
1628C22—44no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—44no—
1633C22—44no—
1634C22—44no—
1635C22—42no—
1636C22—42no—
1637C22—44no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—44no—
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×H(5,𝔽2)11yescharacteristic
1644C22C22×2−1+411yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22H(7,𝔽2)11yescharacteristic
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—44no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4#355414yes—
1680C4#355714yes—
1681C2—82no—
1682C2—84no—
1683C2—84no—
1684C2C2×#355711yescharacteristic
1685C2C2×#355411yescharacteristic
1686C2#6283411yescharacteristic
1687C2#6291711yescharacteristic
1688C2#6295511yescharacteristic
1689C2#6296611yescharacteristic
1690C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39386C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59864C2semidirect
2. #59665C2semidirect
3. #59457C2semidirect
4. #58014C2semidirect
5. #53871C2semidirect
6. #53711C2semidirect
7. #52989C2semidirect
8. #52979C2semidirect
9. #50637C2semidirect
10. #46056C2semidirect
11. #45718C2semidirect
12. #45376C2semidirect
13. #45100C2semidirect
14. #42612C2semidirect
15. #42540C2semidirect
16. #42524C2semidirect
17. #42467C2semidirect
18. #39718C2semidirect
19. #39409C2semidirect
20. #39397C2semidirect
22. #39201C2semidirect
23. #38985C2semidirect
24. #38985C2semidirect
25. #38969C2semidirect
26. #37625C2semidirect
27. #37336C2semidirect
28. #37274C2semidirect
29. #36595C2semidirect
30. #36595C2semidirect
31. #36463C2semidirect
32. #35197C2semidirect
33. #35185C2semidirect
34. #34929C2semidirect
35. #34920C2semidirect

Maximal subgroups

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

subgroupindex
#598642
#596652
#594572
#580142
#538712
#537112
#529892
#529792
#506372
#460562
#457182
#453762
#451002
#426122
#425402
#425242
#424672
#397182
#394092
#393972
#393862
#392012
#389852
#389692
#376252
#373362
#372742
#365952
#364632
#351972
#351852
#349292
#349202