Finite Group Databasebeta

← #7711636

Subgroups — #7711636

Order 512.

4714 conjugacy classes of subgroups.

The subgroup lattice has 2239 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59928C211yesmaximal, characteristic, complemented
2#59926C211yesmaximal, characteristic, complemented
3#59901C212yesmaximal, complemented
4#59880C211yesmaximal, characteristic, complemented
5#59878C211yesmaximal, characteristic, complemented
6#59840C212yesmaximal, complemented
7#45808C211yesmaximal, characteristic, complemented
8#45803C211yesmaximal, characteristic, complemented
9#45795C211yesmaximal, characteristic, complemented
10#45786C211yesmaximal, characteristic
11#45773C212yesmaximal, complemented
12#45762C212yesmaximal, complemented
13#40470C212yesmaximal, complemented
14#40467C212yesmaximal, complemented
15#40464C212yesmaximal, complemented
16#40455C212yesmaximal, complemented
17#40438C212yesmaximal, complemented
18#40422C212yesmaximal, complemented
19#39874C212yesmaximal, complemented
20#39851C212yesmaximal, complemented
21#38839C212yesmaximal, complemented
22#38837C212yesmaximal, complemented
23#38497C212yesmaximal, complemented
24#38457C212yesmaximal, complemented
25#37530C212yesmaximal, complemented
26#37267C211yesmaximal, characteristic, complemented
27#37265C211yesmaximal, characteristic, complemented
28#37252C211yesmaximal, characteristic, complemented
29#37251C211yesmaximal, characteristic, complemented
30#36638C211yesmaximal, characteristic, complemented
31#36631C211yesmaximal, characteristic, complemented
32#36389C212yesmaximal, complemented
33#36356C212yesmaximal, complemented
34#36347C212yesmaximal, complemented
35#36268C212yesmaximal, complemented
36#35216C212yesmaximal, complemented
37#35134C212yesmaximal, complemented
38#34519C212yesmaximal, complemented
39C4×#533C211yesmaximal, characteristic, complemented
40C2×#562C2212yes—
41C2×#556C2212yes—
42C2×#552C2212yes—
43C2×#533C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×#529C2211yescharacteristic
46#2866C2212yes—
47#2866C2212yes—
48#2865C2212yes—
49#2865C2212yes—
50#2864C2211yescharacteristic
51#2863C2211yescharacteristic
52#2861C2211yescharacteristic
53#2861C2211yescharacteristic
54#2861C2211yescharacteristic
55#2861C2212yes—
56#2860C2212yes—
57#2860C2212yes—
58#2860C2211yescharacteristic
59#2860C2212yes—
60#2859C2211yescharacteristic
61#2858C2211yescharacteristic
62#2857C2211yescharacteristic
63#2856C2211yescharacteristic
64#2855C2211yescharacteristic
65#2854C2212yes—
66#2854C2212yes—
67#2854C2211yescharacteristic
68#2853C2212yes—
69#2852C2212yes—
70#2851C2211yescharacteristic
71#2850C2211yescharacteristic
72#2850C2211yescharacteristic
73#2850C2211yescharacteristic
74#2841C2212yes—
75#2816C2212yes—
76#2814C2212yes—
77#2813C2212yes—
78#2811C2211yescharacteristic
79#2809C2211yescharacteristic
80#2808C2211yescharacteristic
81#2808C2211yescharacteristic
82#2806C2211yescharacteristic
83#2806C2211yescharacteristic
84#2806C2211yescharacteristic
85#2805C2211yescharacteristic
86#2804C2211yescharacteristic
87#2804C2211yescharacteristic
88#2793C2212yes—
89#2792C2212yes—
90#2791C2212yes—
91#2790C2212yes—
92#2773C2212yes—
93#2773C2212yes—
94#2772C2212yes—
95#2768C2212yes—
96#2767C2212yes—
97#2747C2212yes—
98#2742C2212yes—
99#2733C2211yescharacteristic
100#2732C2211yescharacteristic
101#2732C2211yescharacteristic
102#2731C2212yes—
103#2729C2212yes—
104#2727C2211yescharacteristic
105#2726C2212yes—
106#2726C2212yes—
107#2725C2212yes—
108#2723C2212yes—
109#2721C2212yes—
110#2720C2212yes—
111#2720C2212yes—
112#2720C2212yes—
113#2720C2212yes—
114#2718C2212yes—
115#2716C2212yes—
116#2715C2212yes—
117#2713C2212yes—
118#2713C2212yes—
119#2712C2212yes—
120#2711C2212yes—
121#2710C2212yes—
122#2710C2212yes—
123#2709C2212yes—
124#2707C2212yes—
125#2707C2212yes—
126#2706C2212yes—
127#2706C2212yes—
128#2704C2212yes—
129#2704C2212yes—
130#2700C2212yes—
131#2698C2212yes—
132#2696C2212yes—
133#2695C2212yes—
134#2691C2212yes—
135#2691C2212yes—
136#2683C2211yescharacteristic
137#2682C2211yescharacteristic
138#2681C2212yes—
139#2681C2212yes—
140#2680C2212yes—
141#2680C2212yes—
142#2677C2212yes—
143#2675C2212yes—
144#2674C2212yes—
145#2674C2212yes—
146#2673C2212yes—
147#2672C2212yes—
148#2672C2212yes—
149#2672C2212yes—
150#2667C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2662C2212yes—
154#2654C2212yes—
155#2654C2212yes—
156#2651C2212yes—
157#2651C2212yes—
158#2651C2212yes—
159#2648C2212yes—
160#2638C2212yes—
161#2637C2212yes—
162#2636C2212yes—
163#2633C2212yes—
164#2632C2212yes—
165#2630C2212yes—
166#2612C2212yes—
167#2612C2212yes—
168#2610C2212yes—
169#2610C2212yes—
170#2608C2212yes—
171#2606C2212yes—
172#2604C2212yes—
173#2602C2212yes—
174#2601C2212yes—
175#2601C2212yes—
176#2601C2212yes—
177#2601C2212yes—
178#2600C2212yes—
179#2599C2212yes—
180#2599C2212yes—
181#2599C2212yes—
182#2597C2212yes—
183#2597C2212yes—
184#2595C2212yes—
185#2595C2212yes—
186#2593C2212yes—
187#2590C2212yes—
188#2590C2212yes—
189#2589C2212yes—
190#2588C2212yes—
191#2587C2212yes—
192#2587C2212yes—
193#2587C2212yes—
194#2586C2212yes—
195#2586C2212yes—
196#2584C2212yes—
197#2581C2212yes—
198#2579C2212yes—
199#2574C2212yes—
200#2574C2212yes—
201#2574C2212yes—
202#2574C2212yes—
203#2573C2212yes—
204#2572C2212yes—
205#2565C2212yes—
206#2564C2212yes—
207#2560C2212yes—
208#2560C2212yes—
209#2560C2212yes—
210#2559C2212yes—
211#2559C2212yes—
212#2558C2212yes—
213#2558C2212yes—
214#2557C2212yes—
215#2556C2212yes—
216#2556C2212yes—
217#2556C2212yes—
218#2556C2212yes—
219#2555C2212yes—
220#2554C2212yes—
221#2554C2212yes—
222#2554C2212yes—
223#2554C2212yes—
224#2553C2212yes—
225#2550C2212yes—
226#2549C2212yes—
227#2540C2212yes—
228#2533C2212yes—
229#2532C2212yes—
230#2532C2212yes—
231#2529C2212yes—
232#2525C2212yes—
233#2525C2212yes—
234#2524C2212yes—
235#2522C2212yes—
236#2521C2212yes—
237#2521C2212yes—
238#2520C2212yes—
239#2519C2212yes—
240#2519C2212yes—
241#2519C2212yes—
242#2519C2212yes—
243#2519C2212yes—
244#2518C2212yes—
245#2518C2212yes—
246#2516C2212yes—
247#2516C2212yes—
248#2512C2212yes—
249#2507C2212yes—
250#2496C2212yes—
251#2490C2212yes—
252#2479C2212yes—
253#2479C2212yes—
254#2479C2212yes—
255#2479C2212yes—
256#2478C2212yes—
257#2478C2212yes—
258#2478C2212yes—
259#2478C2212yes—
260#2477C2212yes—
261#2477C2212yes—
262#2476C2212yes—
263#2476C2212yes—
264#2476C2212yes—
265#2474C2212yes—
266#2471C2212yes—
267#2471C2212yes—
268#2470C2212yes—
269#2469C2212yes—
270#2469C2212yes—
271#2469C2212yes—
272#2468C2212yes—
273#2468C2212yes—
274#2467C2212yes—
275#2467C2212yes—
276#2466C2212yes—
277#2465C2212yes—
278#2465C2212yes—
279#2465C2212yes—
280#2465C2212yes—
281#2464C2212yes—
282#2462C2212yes—
283#2462C2212yes—
284#2462C2212yes—
285#2461C2212yes—
286#2461C2212yes—
287#2461C2212yes—
288#2461C2212yes—
289#2459C2212yes—
290#2458C2212yes—
291#2458C2212yes—
292#2458C2212yes—
293#2455C2212yes—
294#2453C2212yes—
295#2449C2212yes—
296#2448C2212yes—
297#2444C2212yes—
298#2429C2212yes—
299#2429C2212yes—
300#2426C2212yes—
301#2426C2212yes—
302#2426C2212yes—
303#2425C2212yes—
304#2423C2212yes—
305#2423C2212yes—
306#2378C2212yes—
307#2377C2212yes—
308#2376C2212yes—
309#2374C2212yes—
310#2374C2212yes—
311#2373C2212yes—
312#2373C2212yes—
313#2372C2212yes—
314#2372C2212yes—
315#2372C2212yes—
316#2372C2212yes—
317#2371C2212yes—
318#2368C2212yes—
319#2368C2212yes—
320#2364C2212yes—
321#2363C2212yes—
322#2363C2212yes—
323#2362C2212yes—
324#2362C2212yes—
325#2361C2212yes—
326#2360C2212yes—
327#2360C2212yes—
328#2359C2212yes—
329#2359C2212yes—
330#2359C2212yes—
331#2347C2212yes—
332#2346C2212yes—
333#2343C2212yes—
334#2343C2212yes—
335#2335C2212yes—
336#2335C2212yes—
337#2335C2212yes—
338#2334C2212yes—
339#2333C2212yes—
340#2332C2212yes—
341#2330C2212yes—
342#2330C2212yes—
343#2329C2212yes—
344#2326C2212yes—
345#2326C2212yes—
346#2325C2212yes—
347#2324C2212yes—
348#2324C2212yes—
349#2323C2212yes—
350#2322C2212yes—
351C4×C4⋊Q8C2211yescharacteristic
352C4×C4⋊Q8C2211yescharacteristic
353C4×C4⋊Q8C2211yescharacteristic
354C4×C4⋊Q8C2211yescharacteristic
355C4×C4⋊Q8C2211yescharacteristic
356C4×#127C2211yescharacteristic
357C4×#125C2212yes—
358C4×#125C2211yescharacteristic
359C4×#125C2212yes—
360C4×#126C2212yes—
361C4×#126C2212yes—
362C4×#124C2212yes—
363C4×#124C2211yescharacteristic
364C4×#124C2211yescharacteristic
365C4×#124C2211yescharacteristic
366C4×C22⋊Q8C2211yescharacteristic
367C4×C22⋊Q8C2212yes—
368C4×C22⋊Q8C2211yescharacteristic
369C4×C22⋊Q8C2212yes—
370C4×C22⋊Q8C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×C22⋊Q8C2211yescharacteristic
373C4×#123C2212yes—
374C4×#121C2212yes—
375C4×#121C2212yes—
376C4×#121C2211yescharacteristic
377#2298C2212yes—
378#2298C2212yes—
379#2296C2212yes—
380#2295C2211yescharacteristic
381#2295C2211yescharacteristic
382#2295C2211yescharacteristic
383#2295C2212yes—
384#2293C2212yes—
385#2293C2212yes—
386#2293C2212yes—
387#2293C2211yescharacteristic
388#2290C2212yes—
389#2285C2211yescharacteristic
390C42×Q8C2212yes—
391C42×Q8C2211yescharacteristic
392C42×Q8C2211yescharacteristic
393C4×#117C2212yes—
394C2×C43C2211yescharacteristic
395#562—216no—
396#556—48no—
397#552—48no—
398#533—28no—
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×#127C2311yescharacteristic
404#529—44no—
405#529—44no—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2311yescharacteristic
424C2×#125C2311yescharacteristic
425C2×#125C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2311yescharacteristic
432C2×#124C2311yescharacteristic
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2311yescharacteristic
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2311yescharacteristic
457C2×C22⋊Q8C2311yescharacteristic
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2311yescharacteristic
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2311yescharacteristic
469C2×#121C2311yescharacteristic
470C2×#121C2311yescharacteristic
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2312yes—
485C2×C4×Q8C2312yes—
486C2×C4×Q8C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
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#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
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#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#391C2311yescharacteristic
676#391C2312yes—
677#391C2312yes—
678#391C2311yescharacteristic
679#391C2311yescharacteristic
680#391C2311yescharacteristic
681#391C2311yescharacteristic
682#391C2312yes—
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2312yes—
686#391C2311yescharacteristic
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2311yescharacteristic
725#390C2311yescharacteristic
726#390C2312yes—
727#390C2312yes—
728#390C2311yescharacteristic
729#390C2312yes—
730#390C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2311yescharacteristic
736#389C2311yescharacteristic
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2311yescharacteristic
742#389C2312yes—
743#389C2311yescharacteristic
744#389C2311yescharacteristic
745#389C2311yescharacteristic
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#389C2312yes—
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#389C2311yescharacteristic
775#389C2312yes—
776#389C2311yescharacteristic
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
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#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
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#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
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#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#384C2311yescharacteristic
1024#384C2311yescharacteristic
1025#384C2311yescharacteristic
1026#384C2311yescharacteristic
1027#384C2312yes—
1028#384C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#382C2312yes—
1034#382C2311yescharacteristic
1035#382C2312yes—
1036#382C2312yes—
1037#382C2311yescharacteristic
1038#382C2311yescharacteristic
1039#382C2311yescharacteristic
1040#382C2312yes—
1041#382C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2311yescharacteristic
1058#380C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C43C2311yescharacteristic
1139C43C2312yes—
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2312yes—
1147C43C2311yescharacteristic
1148C22×Q8C2412yes—
1149C22×Q8C2411yescharacteristic
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2411yescharacteristic
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2412yes—
1155C22×Q8C2411yescharacteristic
1156C22×D4C2412yes—
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C23×C4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2411yescharacteristic
1184C4⋊Q8—24no—
1185C4⋊Q8—24no—
1186C4⋊Q8—42no—
1187C4⋊Q8—44no—
1188#127—42no—
1189#126—28no—
1190#126—44no—
1191#126—44no—
1192#126—44no—
1193#126—44no—
1194#126—44no—
1195#126—44no—
1196#126—44no—
1197#126—44no—
1198#126—44no—
1199#126—44no—
1200#125—28no—
1201#125—28no—
1202#125—42no—
1203#125—42no—
1204#125—42no—
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#125—44no—
1209#124—28no—
1210#124—28no—
1211#124—24no—
1212#124—24no—
1213#124—42no—
1214#124—44no—
1215#124—42no—
1216#124—42no—
1217#124—44no—
1218#124—44no—
1219#123—28no—
1220#123—28no—
1221#123—28no—
1222#123—28no—
1223#123—44no—
1224#123—44no—
1225#123—44no—
1226#123—44no—
1227#123—44no—
1228#123—44no—
1229#123—44no—
1230C22⋊Q8—28no—
1231C22⋊Q8—24no—
1232C22⋊Q8—28no—
1233C22⋊Q8—28no—
1234C22⋊Q8—28no—
1235C22⋊Q8—44no—
1236C22⋊Q8—44no—
1237C22⋊Q8—44no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241C22⋊Q8—42no—
1242C22⋊Q8—42no—
1243C22⋊Q8—42no—
1244C22⋊Q8—44no—
1245C22⋊Q8#4118yes—
1246#121—28no—
1247#121—28no—
1248#121—28no—
1249#121—28no—
1250#121—44no—
1251#121—42no—
1252#121—42no—
1253#121—42no—
1254#121—44no—
1255#121—44no—
1256C4×Q8—24no—
1257C4×Q8—24no—
1258C4×Q8—28no—
1259C4×Q8—28no—
1260C4×Q8—42no—
1261C4×Q8—42no—
1262C4×Q8—42no—
1263C4×Q8—42no—
1264C4×Q8—44no—
1265C4×Q8—42no—
1266C4×Q8—42no—
1267C4×Q8—44no—
1268C4×Q8—44no—
1269C4×Q8—42no—
1270C4×D4—44no—
1271C4×D4—44no—
1272C4×D4—44no—
1273C4×D4—44no—
1274C4×D4—42no—
1275C4×D4—42no—
1276C4×D4—42no—
1277C4×D4—44no—
1278C4×D4—44no—
1279C4×D4—44no—
1280C4×D4—44no—
1281#117—28no—
1282#117—28no—
1283#117—28no—
1284#117—28no—
1285#117—44no—
1286#117—44no—
1287#117—44no—
1288#117—44no—
1289#117—44no—
1290C2×C4⋊C4—44no—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2411yescharacteristic
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C42—24no—
1460C2×C42—24no—
1461C2×C42—24no—
1462C2×C42—42no—
1463C2×C42—42no—
1464C2×C42—42no—
1465C2×C42—42no—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2411yescharacteristic
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2412yes—
1477C2×C42C2411yescharacteristic
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2411yescharacteristic
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
1487C2×C42C2411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2411yescharacteristic
1520C2×C42C2411yescharacteristic
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—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2511yescharacteristic
1621C2×Q8—24no—
1622C2×Q8—22no—
1623C2×Q8—24no—
1624C2×Q8—24no—
1625C2×Q8—22no—
1626C2×Q8—22no—
1627C2×Q8—22no—
1628C2×Q8—41no—
1629C2×Q8—41no—
1630C2×Q8—42no—
1631C2×Q8—41no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8—41no—
1635C2×Q8—41no—
1636C2×Q8—42no—
1637C2×Q8—41no—
1638C2×Q8—42no—
1639C2×Q8—42no—
1640C2×Q8—41no—
1641C2×Q8—42no—
1642C2×Q8—41no—
1643C2×Q8—41no—
1644C2×Q8C2×#4114yes—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—22no—
1652C2×D4—22no—
1653C2×D4—22no—
1654C2×D4—24no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—41no—
1658C2×D4—41no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—41no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—41no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—41no—
1677C2×D4—41no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C22×C4—22no—
1682C22×C4—22no—
1683C22×C4—22no—
1684C22×C4—22no—
1685C22×C4—22no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—22no—
1689C22×C4—22no—
1690C22×C4—22no—
1691C22×C4—22no—
1692C22×C4—22no—
1693C22×C4—24no—
1694C22×C4—24no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—24no—
1698C22×C4—24no—
1699C22×C4—41no—
1700C22×C4—41no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—41no—
1706C22×C4—41no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4C2×#4114yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2511yescharacteristic
1747C22×C4C2511yescharacteristic
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2511yescharacteristic
1751C22×C4C2512yes—
1752C22×C4C2511yescharacteristic
1753C22×C4C2512yes—
1754C22×C4C2511yescharacteristic
1755C22×C4C2511yescharacteristic
1756C22×C4C2511yescharacteristic
1757C22×C4C2511yescharacteristic
1758C22×C4C2511yescharacteristic
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C22×C4C2511yescharacteristic
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—22no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—22no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—22no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—41no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—41no—
1819C4⋊C4—41no—
1820C4⋊C4—42no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—41no—
1825C4⋊C4—41no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—41no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4C2×#4118yes—
1856C4⋊C4C2×#4114yes—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4C2×#4118yes—
1932C42—22no—
1933C42—22no—
1934C42—22no—
1935C42—22no—
1936C42—24no—
1937C42—24no—
1938C42—24no—
1939C42—22no—
1940C42—22no—
1941C42—22no—
1942C42—24no—
1943C42—24no—
1944C42—24no—
1945C42—24no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—24no—
1950C42—22no—
1951C42—22no—
1952C42—22no—
1953C42—22no—
1954C42—22no—
1955C42—22no—
1956C42—22no—
1957C42—22no—
1958C42—24no—
1959C42—24no—
1960C42—41no—
1961C42—41no—
1962C42—41no—
1963C42—41no—
1964C42—41no—
1965C42—41no—
1966C42—41no—
1967C42—41no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42H(5,𝔽2)14yes—
1986C422−1+414yes—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23C22×#4112yes—
2015C23C2611yescharacteristic
2016Q8—44no—
2017Q8—48no—
2018Q8—44no—
2019Q8—84no—
2020Q8—82no—
2021Q8—82no—
2022Q8—82no—
2023Q8—84no—
2024D4—84no—
2025D4—84no—
2026D4—84no—
2027D4—84no—
2028D4—82no—
2029D4—82no—
2030D4—82no—
2031D4—84no—
2032D4—84no—
2033D4—84no—
2034D4—84no—
2035D4—162no—
2036C2×C4—28no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—22no—
2062C2×C4—21no—
2063C2×C4—21no—
2064C2×C4—22no—
2065C2×C4—21no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—44no—
2129C2×C4—44no—
2130C2×C4—44no—
2131C2×C4—44no—
2132C2×C4—44no—
2133C2×C4—44no—
2134C2×C4—84no—
2135C2×C4—84no—
2136C2×C4—84no—
2137C2×C4—84no—
2138C2×C4—84no—
2139C2×C4—84no—
2140C2×C4—84no—
2141C2×C4—84no—
2142C2×C4—162no—
2143C2×C4C22×#4112yes—
2144C2×C4C22×#4114yes—
2145C2×C4C22×#4112yes—
2146C2×C4C22×#4114yes—
2147C2×C4C2×H(5,𝔽2)12yes—
2148C2×C4C2×H(5,𝔽2)12yes—
2149C2×C4C2×H(5,𝔽2)12yes—
2150C2×C4C2×2−1+412yes—
2151C2×C4C2×2−1+412yes—
2152C2×C4C2×2−1+412yes—
2153C2×C4#58512yes—
2154C2×C4#58512yes—
2155C2×C4#58512yes—
2156C2×C4#58512yes—
2157C22—22no—
2158C22—22no—
2159C22—22no—
2160C22—41no—
2161C22—41no—
2162C22—41no—
2163C22—41no—
2164C22—42no—
2165C22—42no—
2166C22—42no—
2167C22—42no—
2168C22—42no—
2169C22—42no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22C23×#4111yescharacteristic
2186C22C22×H(5,𝔽2)11yescharacteristic
2187C22C22×2−1+411yescharacteristic
2188C22C2×#58511yescharacteristic
2189C22C2×#58511yescharacteristic
2190C22C2×#58511yescharacteristic
2191C22C2×#58511yescharacteristic
2192C4—22no—
2193C4—22no—
2194C4—22no—
2195C4—22no—
2196C4—22no—
2197C4—24no—
2198C4—22no—
2199C4—22no—
2200C4—22no—
2201C4—24no—
2202C4—22no—
2203C4—22no—
2204C4—22no—
2205C4—22no—
2206C4—42no—
2207C4—41no—
2208C4—42no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—41no—
2217C4—42no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C2—42no—
2228C2—82no—
2229C2—82no—
2230C2—82no—
2231C2#6275211yescharacteristic
2232C2#6275911yescharacteristic
2233C2#6278111yescharacteristic
2234C2#6278811yescharacteristic
2235C2#6280011yescharacteristic
2236C2#6282811yescharacteristic
2237C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#45786C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59928C2semidirect
2. #59926C2semidirect
3. #59901C2semidirect
4. #59880C2semidirect
5. #59878C2semidirect
6. #59840C2semidirect
7. #45808C2semidirect
8. #45803C2semidirect
9. #45795C2semidirect
11. #45773C2semidirect
12. #45762C2semidirect
13. #40470C2semidirect
14. #40467C2semidirect
15. #40464C2semidirect
16. #40455C2semidirect
17. #40438C2semidirect
18. #40422C2semidirect
19. #39874C2semidirect
20. #39851C2semidirect
21. #38839C2semidirect
22. #38837C2semidirect
23. #38497C2semidirect
24. #38457C2semidirect
25. #37530C2semidirect
26. #37267C2semidirect
27. #37265C2semidirect
28. #37252C2semidirect
29. #37251C2semidirect
30. #36638C2semidirect
31. #36631C2semidirect
32. #36389C2semidirect
33. #36356C2semidirect
34. #36347C2semidirect
35. #36268C2semidirect
36. #35216C2semidirect
37. #35134C2semidirect
38. #34519C2semidirect
39. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#599282
#599262
#599012
#598802
#598782
#598402
#458082
#458032
#457952
#457862
#457732
#457622
#404702
#404672
#404642
#404552
#404382
#404222
#398742
#398512
#388392
#388372
#384972
#384572
#375302
#372672
#372652
#372522
#372512
#366382
#366312
#363892
#363562
#363472
#362682
#352162
#351342
#345192
C4×#5332