Finite Group Databasebeta

← #9243695

Subgroups — #9243695

Order 512.

4559 conjugacy classes of subgroups.

The subgroup lattice has 2196 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59256C211yesmaximal, characteristic, complemented
2#58951C212yesmaximal, complemented
3#57451C212yesmaximal, complemented
4#56930C212yesmaximal, complemented
5#56782C212yesmaximal, complemented
6#56516C212yesmaximal, complemented
7#55709C212yesmaximal, complemented
8#55552C212yesmaximal, complemented
9#53880C212yesmaximal, complemented
10#53800C212yesmaximal, complemented
11#53798C212yesmaximal, complemented
12#53510C212yesmaximal, complemented
13#53451C212yesmaximal, complemented
14#52736C212yesmaximal, complemented
15#52022C212yesmaximal, complemented
16#51539C212yesmaximal, complemented
17#50779C212yesmaximal, complemented
18#50581C212yesmaximal, complemented
19#50528C212yesmaximal, complemented
20#48831C212yesmaximal, complemented
21#48786C212yesmaximal, complemented
22#48059C212yesmaximal, complemented
23#47718C212yesmaximal, complemented
24#46762C212yesmaximal, complemented
25#45786C211yesmaximal, characteristic, complemented
26#44989C212yesmaximal, complemented
27#41960C212yesmaximal, complemented
28#41957C212yesmaximal, complemented
29#41693C212yesmaximal, complemented
30#41287C212yesmaximal, complemented
31#39839C211yesmaximal, characteristic, complemented
32#39380C211yesmaximal, characteristic, complemented
33#39351C211yesmaximal, characteristic, complemented
34#37866C211yesmaximal, characteristic, complemented
35#37460C211yesmaximal, characteristic, complemented
36C2×#562C2212yes—
37C2×#554C2212yescomplemented
38C2×#551C2212yes—
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×#539C2211yescharacteristic
42C2×#538C2211yescharacteristic
43#2856C2211yescharacteristic
44#2854C2211yescharacteristic
45#2841C2212yescomplemented
46#2838C2212yes—
47#2838C2212yescomplemented
48#2837C2212yescomplemented
49#2836C2212yes—
50#2831C2212yes—
51#2831C2212yescomplemented
52#2830C2212yes—
53#2829C2212yescomplemented
54#2828C2212yes—
55#2828C2212yes—
56#2826C2212yescomplemented
57#2825C2212yes—
58#2825C2212yes—
59#2821C2212yes—
60#2821C2212yescomplemented
61#2820C2212yescomplemented
62#2819C2212yes—
63#2813C2212yes—
64#2810C2211yescharacteristic, complemented
65#2808C2211yescharacteristic, complemented
66#2807C2212yescomplemented
67#2806C2211yescharacteristic, complemented
68#2803C2212yes—
69#2800C2212yescomplemented
70#2797C2212yes—
71#2797C2212yes—
72#2796C2212yes—
73#2796C2212yes—
74#2793C2212yescomplemented
75#2792C2212yescomplemented
76#2790C2212yescomplemented
77#2790C2212yescomplemented
78#2787C2212yescomplemented
79#2786C2212yes—
80#2786C2212yes—
81#2783C2212yescomplemented
82#2781C2212yes—
83#2780C2212yes—
84#2780C2212yescomplemented
85#2779C2212yes—
86#2779C2212yes—
87#2779C2212yes—
88#2777C2212yescomplemented
89#2777C2212yescomplemented
90#2773C2212yescomplemented
91#2770C2212yes—
92#2770C2212yes—
93#2770C2212yescomplemented
94#2767C2212yescomplemented
95#2765C2212yes—
96#2761C2212yescomplemented
97#2757C2212yes—
98#2753C2212yes—
99#2753C2212yescomplemented
100#2753C2212yescomplemented
101#2751C2212yes—
102#2750C2212yes—
103#2749C2212yes—
104#2746C2212yescomplemented
105#2742C2212yes—
106#2742C2212yescomplemented
107#2740C2212yes—
108#2737C2212yescomplemented
109#2734C2212yescomplemented
110#2734C2212yescomplemented
111#2733C2211yescharacteristic, complemented
112#2732C2211yescharacteristic, complemented
113#2732C2212yescomplemented
114#2732C2211yescharacteristic, complemented
115#2731C2212yes—
116#2730C2212yes—
117#2730C2212yes—
118#2729C2212yescomplemented
119#2728C2212yes—
120#2727C2212yes—
121#2727C2212yes—
122#2726C2212yescomplemented
123#2725C2212yescomplemented
124#2723C2212yes—
125#2723C2212yes—
126#2723C2212yescomplemented
127#2723C2212yescomplemented
128#2723C2212yescomplemented
129#2723C2212yescomplemented
130#2721C2212yes—
131#2721C2212yes—
132#2720C2212yes—
133#2720C2212yescomplemented
134#2720C2212yescomplemented
135#2720C2212yescomplemented
136#2718C2212yes—
137#2717C2212yes—
138#2717C2212yes—
139#2717C2212yes—
140#2717C2212yescomplemented
141#2714C2212yes—
142#2713C2212yescomplemented
143#2713C2212yescomplemented
144#2710C2212yes—
145#2710C2212yes—
146#2708C2212yes—
147#2708C2212yescomplemented
148#2706C2212yes—
149#2706C2212yes—
150#2706C2212yes—
151#2705C2212yes—
152#2705C2212yes—
153#2705C2212yes—
154#2705C2212yes—
155#2703C2212yes—
156#2700C2212yescomplemented
157#2699C2212yes—
158#2698C2212yes—
159#2698C2212yescomplemented
160#2698C2212yescomplemented
161#2695C2212yes—
162#2692C2212yes—
163#2691C2212yes—
164#2691C2212yes—
165#2689C2212yes—
166#2689C2212yescomplemented
167#2688C2212yes—
168#2687C2212yescomplemented
169#2686C2212yes—
170#2686C2212yescomplemented
171#2683C2211yescharacteristic, complemented
172#2682C2211yescharacteristic, complemented
173#2680C2212yes—
174#2680C2212yes—
175#2680C2212yescomplemented
176#2678C2212yes—
177#2677C2212yescomplemented
178#2677C2212yescomplemented
179#2676C2212yes—
180#2676C2212yes—
181#2675C2212yes—
182#2674C2212yes—
183#2674C2212yes—
184#2674C2212yes—
185#2674C2212yes—
186#2674C2212yes—
187#2674C2212yescomplemented
188#2673C2212yes—
189#2673C2212yescomplemented
190#2672C2212yes—
191#2672C2212yes—
192#2672C2212yes—
193#2670C2212yes—
194#2670C2212yes—
195#2668C2212yes—
196#2666C2212yescomplemented
197#2664C2212yes—
198#2663C2212yes—
199#2661C2212yes—
200#2659C2211yescharacteristic
201#2659C2211yescharacteristic
202#2658C2212yes—
203#2654C2212yes—
204#2654C2212yescomplemented
205#2653C2212yescomplemented
206#2652C2212yescomplemented
207#2651C2212yes—
208#2651C2212yescomplemented
209#2650C2212yes—
210#2649C2212yescomplemented
211#2646C2211yescharacteristic
212#2638C2212yes—
213#2637C2212yes—
214#2636C2212yes—
215#2636C2212yes—
216#2633C2212yes—
217#2631C2212yes—
218#2630C2212yescomplemented
219#2630C2212yescomplemented
220#2628C2212yes—
221#2626C2211yescharacteristic
222#2626C2211yescharacteristic
223#2624C2212yes—
224#2623C2212yescomplemented
225#2618C2211yescharacteristic
226#2617C2211yescharacteristic
227#2617C2211yescharacteristic
228#2611C2212yescomplemented
229#2610C2212yes—
230#2608C2212yescomplemented
231#2604C2212yes—
232#2603C2212yescomplemented
233#2601C2212yes—
234#2601C2212yes—
235#2600C2212yes—
236#2600C2212yes—
237#2600C2212yes—
238#2599C2212yescomplemented
239#2598C2212yes—
240#2598C2212yescomplemented
241#2596C2212yescomplemented
242#2595C2212yes—
243#2595C2212yescomplemented
244#2585C2212yescomplemented
245#2585C2212yescomplemented
246#2582C2211yescharacteristic, complemented
247#2580C2212yes—
248#2578C2212yes—
249#2577C2212yes—
250#2573C2212yescomplemented
251#2571C2211yescharacteristic, complemented
252#2570C2212yescomplemented
253#2560C2212yes—
254#2558C2212yescomplemented
255#2557C2212yes—
256#2555C2212yes—
257#2554C2212yes—
258#2554C2212yes—
259#2553C2212yescomplemented
260#2551C2212yescomplemented
261#2551C2211yescharacteristic, complemented
262#2549C2212yescomplemented
263#2548C2211yescharacteristic, complemented
264#2547C2212yes—
265#2542C2212yes—
266#2542C2212yescomplemented
267#2540C2212yescomplemented
268#2539C2212yes—
269#2533C2212yescomplemented
270#2528C2212yescomplemented
271#2528C2212yescomplemented
272#2526C2212yescomplemented
273#2525C2212yescomplemented
274#2525C2212yescomplemented
275#2522C2212yes—
276#2522C2212yescomplemented
277#2521C2212yes—
278#2521C2212yescomplemented
279#2519C2212yes—
280#2519C2212yescomplemented
281#2516C2212yescomplemented
282#2514C2212yescomplemented
283#2512C2212yescomplemented
284#2508C2212yescomplemented
285#2505C2212yes—
286#2505C2212yescomplemented
287#2501C2212yes—
288#2499C2212yes—
289#2498C2212yes—
290#2494C2212yes—
291#2491C2212yes—
292#2490C2212yes—
293#2488C2212yes—
294#2486C2212yes—
295#2480C2212yes—
296#2480C2212yes—
297#2478C2212yes—
298#2476C2212yes—
299#2476C2212yescomplemented
300#2474C2212yes—
301#2473C2212yes—
302#2473C2212yescomplemented
303#2472C2212yes—
304#2471C2212yes—
305#2469C2212yes—
306#2468C2212yes—
307#2468C2212yes—
308#2466C2212yescomplemented
309#2465C2212yescomplemented
310#2464C2212yes—
311#2462C2212yescomplemented
312#2461C2212yes—
313#2461C2212yes—
314#2461C2212yes—
315#2461C2212yes—
316#2461C2212yescomplemented
317#2460C2212yes—
318#2457C2212yescomplemented
319#2456C2212yes—
320#2455C2212yes—
321#2455C2212yes—
322#2455C2212yes—
323#2455C2212yescomplemented
324#2452C2212yes—
325#2452C2212yes—
326#2452C2212yescomplemented
327#2452C2212yescomplemented
328#2449C2212yes—
329#2449C2212yes—
330#2448C2212yes—
331#2448C2212yescomplemented
332#2444C2212yes—
333#2443C2212yes—
334#2443C2212yescomplemented
335#2443C2212yescomplemented
336#2441C2212yes—
337#2440C2212yescomplemented
338#2427C2212yes—
339#2426C2212yes—
340#2426C2212yescomplemented
341#2425C2212yes—
342#2425C2212yes—
343#2424C2212yes—
344#2423C2212yescomplemented
345#2422C2212yes—
346#2422C2212yes—
347#2421C2212yes—
348#2419C2212yescomplemented
349#2418C2212yes—
350#2418C2212yes—
351#2418C2212yes—
352#2417C2212yes—
353#2414C2212yes—
354#2412C2212yes—
355#2397C2212yes—
356#2395C2212yescomplemented
357#2383C2212yes—
358#2378C2212yescomplemented
359#2366C2211yescharacteristic, complemented
360#2364C2212yes—
361#2362C2212yescomplemented
362#2361C2212yes—
363#2356C2212yescomplemented
364#2355C2211yescharacteristic, complemented
365Q8×C4⋊C4C2211yescharacteristic, complemented
366Q8×C4⋊C4C2211yescharacteristic, complemented
367#2346C2212yes—
368#2337C2212yes—
369#2335C2212yes—
370#2325C2211yescharacteristic
371#2325C2212yescomplemented
372#2317C2212yescomplemented
373#2315C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×C22⋊Q8C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#562—48no—
380#554—48no—
381#551—48no—
382#542—48no—
383#542—48no—
384#539—44no—
385#538—44no—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×#127C2311yescharacteristic
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#124C2312yes—
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×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2311yescharacteristic
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2311yescharacteristic
492C22×C22⋊C4C2311yescharacteristic
493C22×C22⋊C4C2311yescharacteristic
494C22×C22⋊C4C2312yes—
495C22×C22⋊C4C2311yescharacteristic
496C22×C42C2311yescharacteristic
497#401C2312yes—
498#401C2312yes—
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#399C2312yes—
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#399C2312yes—
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#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#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
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#396C2312yes—
625#396C2312yes—
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#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#392C2312yes—
742#392C2312yes—
743#392C2312yes—
744#392C2312yes—
745#391C2312yes—
746#391C2311yescharacteristic
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2311yescharacteristic
752#391C2311yescharacteristic
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2311yescharacteristic
764#390C2311yescharacteristic
765#390C2312yes—
766#390C2311yescharacteristic
767#390C2311yescharacteristic
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#390C2312yes—
780#390C2312yes—
781#390C2312yes—
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2311yescharacteristic
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2311yescharacteristic
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2311yescharacteristic
817#389C2312yes—
818#389C2312yes—
819#389C2311yescharacteristic
820#389C2312yes—
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#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
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#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#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#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#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#385C2312yes—
1024#384C2312yes—
1025#384C2311yescharacteristic
1026#384C2312yes—
1027#384C2312yes—
1028#384C2311yescharacteristic
1029#384C2311yescharacteristic
1030#384C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#379C2312yes—
1071#379C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100#376C2312yes—
1101#376C2312yes—
1102C2×#95C2311yescharacteristic
1103C2×#95C2312yes—
1104C2×#95C2311yescharacteristic
1105C25C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C22×D4C2411yescharacteristic
1130C22×D4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C4⋊Q8—44no—
1149C4⋊Q8—44no—
1150C4⋊Q8—44no—
1151C4⋊Q8—82no—
1152C4⋊Q8—82no—
1153C4⋊Q8—82no—
1154#127—42no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#126—44no—
1164#125—44no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#124—28no—
1169#124—44no—
1170#124—44no—
1171#124—44no—
1172#124—44no—
1173#124—44no—
1174#124—44no—
1175#124—44no—
1176#124—44no—
1177#124—82no—
1178#123—28no—
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—82no—
1192#123—82no—
1193#123—82no—
1194C22⋊Q8—24no—
1195C22⋊Q8—28no—
1196C22⋊Q8—28no—
1197C22⋊Q8—24no—
1198C22⋊Q8—24no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—44no—
1212C22⋊Q8—82no—
1213#121—28no—
1214#121—42no—
1215#121—42no—
1216#121—42no—
1217#121—44no—
1218#121—44no—
1219#121—44no—
1220#121—44no—
1221#121—44no—
1222#121—44no—
1223#121—44no—
1224#121—82no—
1225#121—82no—
1226#120—44no—
1227#120—44no—
1228#120—82no—
1229C4×Q8—28no—
1230C4×Q8—42no—
1231C4×Q8—42no—
1232C4×Q8—42no—
1233C4×Q8—44no—
1234C4×D4—44no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—44no—
1239C4×D4—44no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—44no—
1243C4×D4—82no—
1244C4×D4—82no—
1245C4×D4—82no—
1246C4×D4—82no—
1247#117—28no—
1248#117—44no—
1249#117—44no—
1250#117—44no—
1251C2×C4⋊C4—42no—
1252C2×C4⋊C4—44no—
1253C2×C4⋊C4—44no—
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⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C22⋊C4—24no—
1347C2×C22⋊C4—42no—
1348C2×C22⋊C4—42no—
1349C2×C22⋊C4—44no—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
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×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×C42—42no—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2411yescharacteristic
1450C2×C42C2411yescharacteristic
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
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—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559C24—22no—
1560C24—41no—
1561C24—41no—
1562C24—41no—
1563C24—41no—
1564C24—41no—
1565C24—41no—
1566C24C2512yes—
1567C24C2512yes—
1568C24C2512yes—
1569C24C2512yes—
1570C24C2511yescharacteristic
1571C2×Q8—22no—
1572C2×Q8—22no—
1573C2×Q8—41no—
1574C2×Q8—41no—
1575C2×Q8—41no—
1576C2×Q8—41no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—42no—
1583C2×Q8—42no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8H(5,𝔽2)14yes—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—24no—
1596C2×D4—24no—
1597C2×D4—24no—
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—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—41no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—41no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—41no—
1634C2×D4—42no—
1635C2×D4—41no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—41no—
1639C2×D4—41no—
1640C2×D4—42no—
1641C2×D4—41no—
1642C2×D4—41no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—41no—
1646C22×C4—22no—
1647C22×C4—24no—
1648C22×C4—22no—
1649C22×C4—24no—
1650C22×C4—22no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—41no—
1658C22×C4—42no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—41no—
1692C22×C4—41no—
1693C22×C4—42no—
1694C22×C4—41no—
1695C22×C4—42no—
1696C22×C4H(5,𝔽2)14yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2511yescharacteristic
1723C22×C4C2512yes—
1724C22×C4C2511yescharacteristic
1725C22×C4C2511yescharacteristic
1726C22×C4C2511yescharacteristic
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—22no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—22no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—22no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
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—41no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—41no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—41no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—41no—
1797C4⋊C4—41no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—41no—
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—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—42no—
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—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
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—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
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—
1910C42—24no—
1911C42—24no—
1912C42—24no—
1913C42—24no—
1914C42—24no—
1915C42—24no—
1916C42—22no—
1917C42—22no—
1918C42—24no—
1919C42—41no—
1920C42—41no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C23—21no—
1936C23—21no—
1937C23—21no—
1938C23—21no—
1939C23—21no—
1940C23—21no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—44no—
1970C23—82no—
1971C23—82no—
1972C23—161no—
1973C23—161no—
1974C23—161no—
1975C23—161no—
1976C23C2×H(5,𝔽2)12yes—
1977C23C2611yescharacteristic
1978Q8—44no—
1979Q8—44no—
1980Q8—82no—
1981Q8—162no—
1982Q8—162no—
1983Q8—162no—
1984Q8—162no—
1985D4—48no—
1986D4—84no—
1987D4—84no—
1988D4—84no—
1989D4—84no—
1990D4—84no—
1991D4—84no—
1992D4—84no—
1993D4—84no—
1994D4—84no—
1995D4—84no—
1996D4—162no—
1997D4—161no—
1998D4—161no—
1999D4—161no—
2000D4—162no—
2001D4—162no—
2002D4—162no—
2003C2×C4—21no—
2004C2×C4—21no—
2005C2×C4—21no—
2006C2×C4—22no—
2007C2×C4—21no—
2008C2×C4—21no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—21no—
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—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—21no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—44no—
2089C2×C4—48no—
2090C2×C4—82no—
2091C2×C4—84no—
2092C2×C4—82no—
2093C2×C4—82no—
2094C2×C4—84no—
2095C2×C4—161no—
2096C2×C4—162no—
2097C2×C4—161no—
2098C2×C4—162no—
2099C2×C4—162no—
2100C2×C4—162no—
2101C2×C4—162no—
2102C2×C4—162no—
2103C2×C4—162no—
2104C2×C4—162no—
2105C2×C4C2×H(5,𝔽2)12yes—
2106C2×C4C2×H(5,𝔽2)14yes—
2107C2×C4C2×H(5,𝔽2)12yes—
2108C2×C4C2×H(5,𝔽2)12yes—
2109C2×C4#58512yes—
2110C22—22no—
2111C22—22no—
2112C22—22no—
2113C22—41no—
2114C22—41no—
2115C22—41no—
2116C22—41no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—164no—
2146C22C22×H(5,𝔽2)11yescharacteristic
2147C22C22×H(5,𝔽2)11yescharacteristic
2148C22C2×#58511yescharacteristic
2149C22H(7,𝔽2)11yescharacteristic
2150C222−1+611yescharacteristic
2151C222−1+611yescharacteristic
2152C222−1+611yescharacteristic
2153C4—22no—
2154C4—24no—
2155C4—22no—
2156C4—22no—
2157C4—22no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—41no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—41no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C2—42no—
2184C2—82no—
2185C2—82no—
2186C2—82no—
2187C2—82no—
2188C2#6286911yescharacteristic
2189C2#6288811yescharacteristic
2190C2#6290111yescharacteristic
2191C2#6290111yescharacteristic
2192C2#6291611yescharacteristic
2193C2#6297711yescharacteristic
2194C2#6304811yescharacteristic
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. #59256C2semidirect
2. #58951C2semidirect
3. #57451C2semidirect
4. #56930C2semidirect
5. #56782C2semidirect
6. #56516C2semidirect
7. #55709C2semidirect
8. #55552C2semidirect
9. #53880C2semidirect
10. #53800C2semidirect
11. #53798C2semidirect
12. #53510C2semidirect
13. #53451C2semidirect
14. #52736C2semidirect
15. #52022C2semidirect
16. #51539C2semidirect
17. #50779C2semidirect
18. #50581C2semidirect
19. #50528C2semidirect
20. #48831C2semidirect
21. #48786C2semidirect
22. #48059C2semidirect
23. #47718C2semidirect
24. #46762C2semidirect
25. #45786C2semidirect
26. #44989C2semidirect
27. #41960C2semidirect
28. #41957C2semidirect
29. #41693C2semidirect
30. #41287C2semidirect
31. #39839C2semidirect
32. #39380C2semidirect
33. #39351C2semidirect
34. #37866C2semidirect
35. #37460C2semidirect
37. C2×#554C22semidirect
45. #2841C22semidirect
47. #2838C22semidirect
48. #2837C22semidirect
51. #2831C22semidirect
53. #2829C22semidirect
56. #2826C22semidirect
60. #2821C22semidirect
61. #2820C22semidirect
64. #2810C22semidirect
65. #2808C22semidirect
66. #2807C22semidirect
67. #2806C22semidirect
69. #2800C22semidirect
74. #2793C22semidirect
75. #2792C22semidirect
76. #2790C22semidirect
77. #2790C22semidirect
78. #2787C22semidirect
81. #2783C22semidirect
84. #2780C22semidirect
88. #2777C22semidirect
89. #2777C22semidirect
90. #2773C22semidirect
93. #2770C22semidirect
94. #2767C22semidirect
96. #2761C22semidirect
99. #2753C22semidirect
100. #2753C22semidirect
104. #2746C22semidirect
106. #2742C22semidirect
108. #2737C22semidirect
109. #2734C22semidirect
110. #2734C22semidirect
111. #2733C22semidirect
112. #2732C22semidirect
113. #2732C22semidirect
114. #2732C22semidirect
118. #2729C22semidirect
122. #2726C22semidirect
123. #2725C22semidirect
126. #2723C22semidirect
127. #2723C22semidirect
128. #2723C22semidirect
129. #2723C22semidirect
133. #2720C22semidirect
134. #2720C22semidirect
135. #2720C22semidirect
140. #2717C22semidirect
142. #2713C22semidirect
143. #2713C22semidirect
147. #2708C22semidirect
156. #2700C22semidirect
159. #2698C22semidirect
160. #2698C22semidirect
166. #2689C22semidirect
168. #2687C22semidirect
170. #2686C22semidirect
171. #2683C22semidirect
172. #2682C22semidirect
175. #2680C22semidirect
177. #2677C22semidirect
178. #2677C22semidirect
187. #2674C22semidirect
189. #2673C22semidirect
196. #2666C22semidirect
204. #2654C22semidirect
205. #2653C22semidirect
206. #2652C22semidirect
208. #2651C22semidirect
210. #2649C22semidirect
218. #2630C22semidirect
219. #2630C22semidirect
224. #2623C22semidirect
228. #2611C22semidirect
230. #2608C22semidirect
232. #2603C22semidirect
238. #2599C22semidirect
240. #2598C22semidirect
241. #2596C22semidirect
243. #2595C22semidirect
244. #2585C22semidirect
245. #2585C22semidirect
246. #2582C22semidirect
250. #2573C22semidirect
251. #2571C22semidirect
252. #2570C22semidirect
254. #2558C22semidirect
259. #2553C22semidirect
260. #2551C22semidirect
261. #2551C22semidirect
262. #2549C22semidirect
263. #2548C22semidirect
266. #2542C22semidirect
267. #2540C22semidirect
269. #2533C22semidirect
270. #2528C22semidirect
271. #2528C22semidirect
272. #2526C22semidirect
273. #2525C22semidirect
274. #2525C22semidirect
276. #2522C22semidirect
278. #2521C22semidirect
280. #2519C22semidirect
281. #2516C22semidirect
282. #2514C22semidirect
283. #2512C22semidirect
284. #2508C22semidirect
286. #2505C22semidirect
299. #2476C22semidirect
302. #2473C22semidirect
308. #2466C22semidirect
309. #2465C22semidirect
311. #2462C22semidirect
316. #2461C22semidirect
318. #2457C22semidirect
323. #2455C22semidirect
326. #2452C22semidirect
327. #2452C22semidirect
331. #2448C22semidirect
334. #2443C22semidirect
335. #2443C22semidirect
337. #2440C22semidirect
340. #2426C22semidirect
344. #2423C22semidirect
348. #2419C22semidirect
356. #2395C22semidirect
358. #2378C22semidirect
359. #2366C22semidirect
361. #2362C22semidirect
363. #2356C22semidirect
364. #2355C22semidirect
365. Q8×C4⋊C4C22semidirect
366. Q8×C4⋊C4C22semidirect
371. #2325C22semidirect
372. #2317C22semidirect

Maximal subgroups

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

subgroupindex
#592562
#589512
#574512
#569302
#567822
#565162
#557092
#555522
#538802
#538002
#537982
#535102
#534512
#527362
#520222
#515392
#507792
#505812
#505282
#488312
#487862
#480592
#477182
#467622
#457862
#449892
#419602
#419572
#416932
#412872
#398392
#393802
#393512
#378662
#374602