Finite Group Databasebeta

← #8127273

Subgroups — #8127273

Order 512.

4626 conjugacy classes of subgroups.

The subgroup lattice has 2142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59873C211yesmaximal, characteristic, complemented
2#59825C211yesmaximal, characteristic, complemented
3#59313C211yesmaximal, characteristic, complemented
4#59312C211yesmaximal, characteristic, complemented
5#55596C212yesmaximal, complemented
6#55594C212yesmaximal, complemented
7#55241C212yesmaximal, complemented
8#55132C212yesmaximal, complemented
9#53859C212yesmaximal, complemented
10#53791C212yesmaximal, complemented
11#53724C212yesmaximal, complemented
12#53564C212yesmaximal, complemented
13#50704C212yesmaximal, complemented
14#50320C212yesmaximal, complemented
15#50138C212yesmaximal, complemented
16#49976C212yesmaximal, complemented
17#48742C212yesmaximal, complemented
18#48504C212yesmaximal, complemented
19#48224C212yesmaximal, complemented
20#47987C212yesmaximal, complemented
21#45751C212yesmaximal, complemented
22#45751C212yesmaximal, complemented
23#41431C212yesmaximal, complemented
24#41413C212yesmaximal, complemented
25#41375C212yesmaximal, complemented
26#41373C212yesmaximal, complemented
27#39254C212yesmaximal, complemented
28#39134C212yesmaximal, complemented
29#38087C212yesmaximal, complemented
30#38029C212yesmaximal, complemented
31#36823C212yesmaximal, complemented
32#35058C212yesmaximal, complemented
33#35021C211yesmaximal, characteristic, complemented
34#35004C211yesmaximal, characteristic, complemented
35C2×#2506C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#552C2212yes—
38C2×#547C2212yes—
39C2×#547C2212yes—
40C2×#539C2212yes—
41C22×#125C2212yes—
42#2854C2212yes—
43#2854C2212yes—
44#2853C2212yes—
45#2853C2212yes—
46#2852C2212yes—
47#2850C2212yes—
48#2839C2212yes—
49#2838C2212yes—
50#2838C2212yes—
51#2838C2212yes—
52#2837C2212yes—
53#2837C2212yes—
54#2822C2212yes—
55#2821C2212yes—
56#2821C2212yes—
57#2816C2212yes—
58#2814C2212yes—
59#2813C2212yes—
60#2810C2211yescharacteristic
61#2808C2211yescharacteristic
62#2807C2212yes—
63#2807C2212yes—
64#2807C2212yes—
65#2807C2212yes—
66#2806C2212yes—
67#2805C2211yescharacteristic
68#2803C2212yes—
69#2803C2212yes—
70#2803C2212yes—
71#2801C2212yes—
72#2801C2212yes—
73#2800C2212yes—
74#2796C2212yes—
75#2796C2212yes—
76#2792C2212yes—
77#2792C2212yes—
78#2792C2212yes—
79#2792C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2788C2212yes—
83#2788C2212yes—
84#2780C2212yes—
85#2780C2212yes—
86#2780C2212yes—
87#2779C2212yes—
88#2776C2212yes—
89#2775C2212yes—
90#2774C2212yes—
91#2774C2212yes—
92#2772C2212yes—
93#2770C2212yes—
94#2770C2212yes—
95#2768C2212yes—
96#2768C2212yes—
97#2767C2212yes—
98#2766C2212yes—
99#2766C2212yes—
100#2758C2212yes—
101#2757C2212yes—
102#2757C2212yes—
103#2747C2212yes—
104#2747C2212yes—
105#2746C2212yes—
106#2745C2212yes—
107#2742C2212yes—
108#2742C2212yes—
109#2742C2212yes—
110#2741C2212yes—
111#2739C2212yes—
112#2738C2212yes—
113#2727C2211yescharacteristic
114#2727C2212yes—
115#2727C2211yescharacteristic
116#2726C2211yescharacteristic
117#2726C2212yes—
118#2726C2212yes—
119#2724C2211yescharacteristic
120#2722C2212yes—
121#2722C2212yes—
122#2721C2212yes—
123#2721C2212yes—
124#2721C2212yes—
125#2721C2212yes—
126#2721C2212yes—
127#2721C2212yes—
128#2720C2212yes—
129#2720C2212yes—
130#2720C2212yes—
131#2720C2212yes—
132#2718C2212yes—
133#2718C2212yes—
134#2718C2212yes—
135#2718C2212yes—
136#2716C2212yes—
137#2715C2212yes—
138#2714C2212yes—
139#2713C2212yes—
140#2713C2212yes—
141#2713C2212yes—
142#2711C2212yes—
143#2711C2212yes—
144#2711C2212yes—
145#2710C2212yes—
146#2707C2212yes—
147#2707C2212yes—
148#2706C2212yes—
149#2706C2212yes—
150#2705C2212yes—
151#2705C2212yes—
152#2704C2212yes—
153#2704C2212yes—
154#2704C2212yes—
155#2704C2212yes—
156#2703C2212yes—
157#2703C2212yes—
158#2696C2212yes—
159#2696C2212yes—
160#2696C2212yes—
161#2695C2212yes—
162#2695C2212yes—
163#2695C2212yes—
164#2694C2212yes—
165#2694C2212yes—
166#2694C2212yes—
167#2694C2212yes—
168#2694C2212yes—
169#2692C2212yes—
170#2692C2212yes—
171#2692C2212yes—
172#2690C2212yes—
173#2682C2211yescharacteristic
174#2680C2212yes—
175#2680C2212yes—
176#2666C2212yes—
177#2666C2212yes—
178#2664C2212yes—
179#2662C2212yes—
180#2661C2212yes—
181#2660C2212yes—
182#2659C2212yes—
183#2659C2211yescharacteristic
184#2656C2211yescharacteristic
185#2655C2212yes—
186#2654C2212yes—
187#2651C2212yes—
188#2650C2212yes—
189#2650C2212yes—
190#2646C2211yescharacteristic
191#2639C2211yescharacteristic
192#2637C2212yes—
193#2636C2212yes—
194#2635C2212yes—
195#2633C2212yes—
196#2628C2212yes—
197#2627C2211yescharacteristic
198#2625C2212yes—
199#2623C2212yes—
200#2623C2212yes—
201#2623C2212yes—
202#2618C2211yescharacteristic
203#2618C2211yescharacteristic
204#2618C2211yescharacteristic
205#2618C2212yes—
206#2606C2212yes—
207#2603C2212yes—
208#2598C2212yes—
209#2597C2212yes—
210#2596C2212yes—
211#2596C2212yes—
212#2595C2212yes—
213#2593C2212yes—
214#2593C2212yes—
215#2591C2212yes—
216#2589C2212yes—
217#2587C2212yes—
218#2586C2212yes—
219#2585C2212yes—
220#2585C2212yes—
221#2584C2212yes—
222#2579C2212yes—
223#2578C2212yes—
224#2574C2212yes—
225#2574C2212yes—
226#2573C2212yes—
227#2573C2212yes—
228#2569C2212yes—
229#2564C2212yes—
230#2558C2212yes—
231#2558C2212yes—
232#2556C2212yes—
233#2556C2212yes—
234#2556C2212yes—
235#2556C2212yes—
236#2554C2212yes—
237#2554C2212yes—
238#2554C2212yes—
239#2553C2212yes—
240#2552C2212yes—
241#2552C2212yes—
242#2552C2212yes—
243#2552C2211yescharacteristic
244#2551C2211yescharacteristic
245#2543C2212yes—
246#2538C2211yescharacteristic
247#2537C2211yescharacteristic
248#2533C2212yes—
249#2530C2212yes—
250#2525C2212yes—
251#2525C2212yes—
252#2524C2212yes—
253#2522C2212yes—
254#2520C2212yes—
255#2519C2212yes—
256#2519C2212yes—
257#2519C2212yes—
258#2512C2212yes—
259#2510C2212yes—
260#2506C2212yes—
261#2506C2212yes—
262#2506C2212yes—
263#2506C2212yes—
264#2506C2212yes—
265#2506C2212yes—
266#2506C2212yes—
267#2506C2212yes—
268#2502C2212yes—
269#2501C2212yes—
270#2501C2212yes—
271#2501C2212yes—
272#2498C2212yes—
273#2498C2212yes—
274#2498C2212yes—
275#2493C2212yes—
276#2493C2212yes—
277#2490C2212yes—
278#2490C2212yes—
279#2488C2212yes—
280#2488C2212yes—
281#2487C2212yes—
282#2486C2212yes—
283#2486C2212yes—
284#2486C2212yes—
285#2486C2212yes—
286#2486C2212yes—
287#2481C2212yes—
288#2481C2212yes—
289#2481C2212yes—
290#2478C2212yes—
291#2477C2212yes—
292#2473C2212yes—
293#2473C2212yes—
294#2473C2212yes—
295#2471C2212yes—
296#2469C2212yes—
297#2469C2212yes—
298#2468C2212yes—
299#2467C2212yes—
300#2466C2212yes—
301#2465C2212yes—
302#2461C2212yes—
303#2461C2212yes—
304#2460C2212yes—
305#2460C2212yes—
306#2460C2212yes—
307#2458C2212yes—
308#2455C2212yes—
309#2454C2212yes—
310#2454C2212yes—
311#2443C2212yes—
312#2443C2212yes—
313#2441C2212yes—
314#2441C2212yes—
315#2441C2212yes—
316#2440C2212yes—
317#2440C2212yes—
318#2438C2212yes—
319#2438C2212yes—
320#2430C2212yes—
321#2430C2212yes—
322#2430C2212yes—
323#2430C2212yes—
324#2425C2212yes—
325#2425C2212yes—
326#2425C2212yes—
327#2425C2212yes—
328#2425C2212yes—
329#2423C2212yes—
330#2422C2212yes—
331#2422C2212yes—
332#2413C2212yes—
333#2413C2212yes—
334#2413C2212yes—
335#2413C2212yes—
336#2406C2212yes—
337#2406C2212yes—
338#2406C2212yes—
339#2406C2212yes—
340C2×#400C2212yes—
341C2×#398C2212yes—
342#2383C2212yes—
343#2383C2212yes—
344#2376C2212yes—
345#2376C2212yes—
346#2373C2212yes—
347#2359C2212yes—
348#2354C2211yescharacteristic
349#2353C2212yes—
350Q8×C4⋊C4C2211yescharacteristic
351#2349C2212yes—
352D4×C4⋊C4C2211yescharacteristic
353D4×C4⋊C4C2211yescharacteristic
354#2345C2212yes—
355#2344C2212yes—
356#2337C2212yes—
357#2335C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2325C2212yes—
361#2322C2212yes—
362#2322C2212yes—
363#2318C2212yes—
364#2311C2212yes—
365C4×C22⋊Q8C2211yescharacteristic
366C4×#123C2212yes—
367C4×#121C2211yescharacteristic
368C4×#121C2211yescharacteristic
369C4×#121C2211yescharacteristic
370#2297C2212yes—
371C2×#389C2211yescharacteristic
372C2×#389C2211yescharacteristic
373C2×#389C2211yescharacteristic
374C2×#389C2211yescharacteristic
375C2×#387C2212yes—
376C2×#384C2211yescharacteristic
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379C22×#41C2312yes—
380C22×#41C2312yes—
381#553—48no—
382#552—48no—
383#547—48no—
384#547—48no—
385#539—48no—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125—48no—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#124C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2311yescharacteristic
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486C22×C42C2312yes—
487C22×C42C2311yescharacteristic
488#401C2312yes—
489#401C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2311yescharacteristic
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2311yescharacteristic
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2311yescharacteristic
738#390C2311yescharacteristic
739#390C2312yes—
740#389C2311yescharacteristic
741#389C2311yescharacteristic
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2312yes—
780#389C2311yescharacteristic
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2311yescharacteristic
790#389C2312yes—
791#389C2312yes—
792#389C2311yescharacteristic
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2311yescharacteristic
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#384C2311yescharacteristic
1007#384C2311yescharacteristic
1008#384C2312yes—
1009#384C2312yes—
1010#384C2312yes—
1011#384C2312yes—
1012#384C2312yes—
1013#384C2312yes—
1014#384C2311yescharacteristic
1015#384C2312yes—
1016#384C2312yes—
1017#384C2311yescharacteristic
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C2×#41—44no—
1105C2×#41—44no—
1106C2×#41—44no—
1107C2×#41—44no—
1108C2×#41—44no—
1109C2×#41—44no—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2411yescharacteristic
1146C4⋊Q8—44no—
1147C4⋊Q8—44no—
1148#126—28no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#125—44no—
1162#125—44no—
1163#125—44no—
1164#125—44no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#125—44no—
1169#125—44no—
1170#125—44no—
1171#124—44no—
1172#123—28no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190#123—44no—
1191#123—44no—
1192#123—44no—
1193C22⋊Q8—24no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202#121—24no—
1203#121—24no—
1204#121—24no—
1205#121—44no—
1206#121—44no—
1207#121—44no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212C4×Q8—42no—
1213C4×Q8—44no—
1214C4×D4—28no—
1215C4×D4—28no—
1216C4×D4—28no—
1217C4×D4—42no—
1218C4×D4—42no—
1219C4×D4—42no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224C4×D4—44no—
1225#117—44no—
1226#117—44no—
1227#117—44no—
1228#117—44no—
1229C2×C4⋊C4—24no—
1230C2×C4⋊C4—28no—
1231C2×C4⋊C4—28no—
1232C2×C4⋊C4—24no—
1233C2×C4⋊C4—28no—
1234C2×C4⋊C4—24no—
1235C2×C4⋊C4—42no—
1236C2×C4⋊C4—44no—
1237C2×C4⋊C4—44no—
1238C2×C4⋊C4—42no—
1239C2×C4⋊C4—42no—
1240C2×C4⋊C4—44no—
1241C2×C4⋊C4—44no—
1242C2×C4⋊C4—44no—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C42—42no—
1424C2×C42—42no—
1425C2×C42—44no—
1426C2×C42—42no—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2411yescharacteristic
1430C2×C42C2412yes—
1431C2×C42C2411yescharacteristic
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2412yes—
1449C2×C42C2411yescharacteristic
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554C24C2512yes—
1555C24C2512yes—
1556C24C2512yes—
1557C24C2511yescharacteristic
1558#41—816no—
1559#41—816no—
1560C2×Q8—22no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—22no—
1582C2×D4—22no—
1583C2×D4—22no—
1584C2×D4—24no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—41no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—41no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C22×C4—22no—
1609C22×C4—22no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—22no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—22no—
1619C22×C4—22no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—41no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—42no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4H(5,𝔽2)14yes—
1667C22×C4H(5,𝔽2)14yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C22×C4C2511yescharacteristic
1694C22×C4C2511yescharacteristic
1695C22×C4C2511yescharacteristic
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2511yescharacteristic
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—22no—
1716C4⋊C4—22no—
1717C4⋊C4—22no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—22no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—22no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—41no—
1731C4⋊C4—41no—
1732C4⋊C4—41no—
1733C4⋊C4—41no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
1774C4⋊C4—41no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C42−1+414yes—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C42—24no—
1880C42—24no—
1881C42—24no—
1882C42—24no—
1883C42—22no—
1884C42—22no—
1885C42—24no—
1886C42—41no—
1887C42—41no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C23—21no—
1907C23—21no—
1908C23—21no—
1909C23—21no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23C2×H(5,𝔽2)12yes—
1932C23C2×H(5,𝔽2)12yes—
1933C23#58512yes—
1934C23C2611yescharacteristic
1935Q8—44no—
1936Q8—84no—
1937Q8—84no—
1938Q8—162no—
1939D4—44no—
1940D4—44no—
1941D4—48no—
1942D4—48no—
1943D4—48no—
1944D4—82no—
1945D4—84no—
1946D4—84no—
1947D4—84no—
1948D4—162no—
1949D4—162no—
1950D4—162no—
1951C2×C4—28no—
1952C2×C4—22no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—44no—
2039C2×C4—44no—
2040C2×C4—48no—
2041C2×C4—44no—
2042C2×C4—44no—
2043C2×C4—48no—
2044C2×C4—48no—
2045C2×C4—84no—
2046C2×C4—84no—
2047C2×C4—84no—
2048C2×C4—84no—
2049C2×C4—82no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—84no—
2053C2×C4—84no—
2054C2×C4—84no—
2055C2×C4—84no—
2056C2×C4—162no—
2057C2×C4C2×H(5,𝔽2)12yes—
2058C2×C4C2×H(5,𝔽2)12yes—
2059C2×C4C2×H(5,𝔽2)12yes—
2060C2×C4C2×H(5,𝔽2)12yes—
2061C2×C4C2×2−1+414yes—
2062C2×C4C2×2−1+412yes—
2063C2×C4#58512yes—
2064C22—22no—
2065C22—22no—
2066C22—22no—
2067C22—22no—
2068C22—22no—
2069C22—22no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22#354614yes—
2092C22C22×H(5,𝔽2)11yescharacteristic
2093C22C22×H(5,𝔽2)11yescharacteristic
2094C22C22×2−1+411yescharacteristic
2095C22C2×#58511yescharacteristic
2096C22C2×#58511yescharacteristic
2097C222−1+611yescharacteristic
2098C222−1+611yescharacteristic
2099C4—22no—
2100C4—22no—
2101C4—22no—
2102C4—22no—
2103C4—22no—
2104C4—22no—
2105C4—24no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C2—24no—
2131C2—82no—
2132C2—82no—
2133C2—82no—
2134C2C2×#354611yescharacteristic
2135C2#6282511yescharacteristic
2136C2#6287311yescharacteristic
2137C2#6290111yescharacteristic
2138C2#6290111yescharacteristic
2139C2#6294211yescharacteristic
2140C2#6294611yescharacteristic
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. #59873C2semidirect
2. #59825C2semidirect
3. #59313C2semidirect
4. #59312C2semidirect
5. #55596C2semidirect
6. #55594C2semidirect
7. #55241C2semidirect
8. #55132C2semidirect
9. #53859C2semidirect
10. #53791C2semidirect
11. #53724C2semidirect
12. #53564C2semidirect
13. #50704C2semidirect
14. #50320C2semidirect
15. #50138C2semidirect
16. #49976C2semidirect
17. #48742C2semidirect
18. #48504C2semidirect
19. #48224C2semidirect
20. #47987C2semidirect
21. #45751C2semidirect
22. #45751C2semidirect
23. #41431C2semidirect
24. #41413C2semidirect
25. #41375C2semidirect
26. #41373C2semidirect
27. #39254C2semidirect
28. #39134C2semidirect
29. #38087C2semidirect
30. #38029C2semidirect
31. #36823C2semidirect
32. #35058C2semidirect
33. #35021C2semidirect
34. #35004C2semidirect
35. C2×#2506C2semidirect

Maximal subgroups

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

subgroupindex
#598732
#598252
#593132
#593122
#555962
#555942
#552412
#551322
#538592
#537912
#537242
#535642
#507042
#503202
#501382
#499762
#487422
#485042
#482242
#479872
#457512
#414312
#414132
#413752
#413732
#392542
#391342
#380872
#380292
#368232
#350582
#350212
#350042
C2×#25062