Finite Group Databasebeta

← #8214996

Subgroups — #8214996

Order 512.

4533 conjugacy classes of subgroups.

The subgroup lattice has 2217 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59778C212yesmaximal, complemented
2#58974C212yesmaximal, complemented
3#58951C212yesmaximal, complemented
4#58216C212yesmaximal, complemented
5#56240C212yesmaximal, complemented
6#55870C212yesmaximal, complemented
7#55510C212yesmaximal, complemented
8#54988C212yesmaximal, complemented
9#54124C212yesmaximal, complemented
10#53377C211yesmaximal, characteristic, complemented
11#53209C211yesmaximal, characteristic, complemented
12#52438C212yesmaximal, complemented
13#52162C211yesmaximal, characteristic, complemented
14#51751C212yesmaximal, complemented
15#49568C212yesmaximal, complemented
16#47716C212yesmaximal, complemented
17#47673C212yesmaximal, complemented
18#45998C211yesmaximal, characteristic, complemented
19#45789C212yesmaximal, complemented
20#45784C211yesmaximal, characteristic, complemented
21#44416C212yesmaximal, complemented
22#44361C212yesmaximal, complemented
23#44317C212yesmaximal, complemented
24#41818C212yesmaximal, complemented
25#41296C212yesmaximal, complemented
26#39455C211yesmaximal, characteristic, complemented
27#39365C211yesmaximal, characteristic, complemented
28#38790C211yesmaximal, characteristic, complemented
29#38735C212yesmaximal, complemented
30#38714C212yesmaximal, complemented
31#38494C211yesmaximal, characteristic, complemented
32#37795C212yesmaximal, complemented
33#37773C212yesmaximal, complemented
34#37220C211yesmaximal, characteristic, complemented
35#37200C211yesmaximal, characteristic, complemented
36#37192C211yesmaximal, characteristic, complemented
37#36503C211yesmaximal, characteristic, complemented
38#36287C211yesmaximal, characteristic, complemented
39#35296C211yesmaximal, characteristic, complemented
40C2×#563C2212yes—
41C2×#562C2212yes—
42C2×#544C2212yes—
43C2×#542C2212yes—
44C2×#542C2212yes—
45C2×#533C2212yes—
46#2864C2211yescharacteristic
47#2860C2211yescharacteristic
48#2860C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2854C2211yescharacteristic
54#2854C2212yes—
55#2854C2211yescharacteristic
56#2851C2211yescharacteristic
57#2850C2212yes—
58#2838C2212yes—
59#2838C2212yes—
60#2838C2212yes—
61#2838C2212yes—
62#2834C2212yes—
63#2831C2212yes—
64#2829C2212yes—
65#2829C2212yes—
66#2827C2212yes—
67#2821C2212yes—
68#2820C2212yes—
69#2814C2212yes—
70#2814C2212yes—
71#2813C2212yes—
72#2810C2211yescharacteristic
73#2809C2211yescharacteristic
74#2807C2212yes—
75#2806C2212yes—
76#2803C2212yes—
77#2802C2212yes—
78#2802C2212yes—
79#2801C2212yes—
80#2800C2212yes—
81#2798C2212yes—
82#2797C2212yes—
83#2795C2212yes—
84#2791C2212yes—
85#2790C2212yes—
86#2789C2212yes—
87#2788C2212yes—
88#2786C2212yes—
89#2786C2212yes—
90#2784C2212yes—
91#2781C2212yes—
92#2780C2212yes—
93#2779C2212yes—
94#2778C2212yes—
95#2777C2212yes—
96#2773C2212yes—
97#2772C2212yes—
98#2768C2212yes—
99#2768C2212yes—
100#2761C2212yes—
101#2759C2212yes—
102#2754C2212yes—
103#2751C2212yes—
104#2742C2212yes—
105#2740C2212yes—
106#2734C2211yescharacteristic
107#2734C2212yes—
108#2734C2212yes—
109#2733C2211yescharacteristic
110#2732C2211yescharacteristic
111#2732C2212yes—
112#2732C2212yes—
113#2732C2212yes—
114#2731C2212yes—
115#2730C2212yes—
116#2730C2212yes—
117#2729C2212yes—
118#2729C2212yes—
119#2728C2212yes—
120#2727C2211yescharacteristic
121#2727C2211yescharacteristic
122#2727C2211yescharacteristic
123#2726C2211yescharacteristic
124#2726C2212yes—
125#2726C2211yescharacteristic
126#2726C2211yescharacteristic
127#2725C2212yes—
128#2725C2212yes—
129#2725C2212yes—
130#2725C2212yes—
131#2724C2211yescharacteristic
132#2723C2212yes—
133#2723C2212yes—
134#2723C2212yes—
135#2722C2212yes—
136#2721C2212yes—
137#2721C2212yes—
138#2720C2212yes—
139#2720C2212yes—
140#2720C2212yes—
141#2720C2212yes—
142#2719C2212yes—
143#2718C2212yes—
144#2717C2212yes—
145#2716C2212yes—
146#2716C2212yes—
147#2715C2212yes—
148#2715C2212yes—
149#2715C2212yes—
150#2715C2212yes—
151#2713C2212yes—
152#2713C2212yes—
153#2713C2212yes—
154#2711C2212yes—
155#2711C2212yes—
156#2711C2212yes—
157#2710C2212yes—
158#2710C2212yes—
159#2708C2212yes—
160#2707C2212yes—
161#2705C2212yes—
162#2704C2212yes—
163#2702C2212yes—
164#2700C2212yes—
165#2698C2212yes—
166#2695C2212yes—
167#2694C2212yes—
168#2694C2212yes—
169#2694C2212yes—
170#2694C2212yes—
171#2692C2212yes—
172#2692C2212yes—
173#2692C2212yes—
174#2691C2212yes—
175#2689C2212yes—
176#2687C2212yes—
177#2683C2211yescharacteristic
178#2683C2211yescharacteristic
179#2683C2211yescharacteristic
180#2682C2211yescharacteristic
181#2681C2212yes—
182#2680C2212yes—
183#2680C2212yes—
184#2677C2212yes—
185#2677C2212yes—
186#2677C2212yes—
187#2676C2212yes—
188#2676C2212yes—
189#2676C2212yes—
190#2674C2212yes—
191#2674C2212yes—
192#2674C2212yes—
193#2674C2212yes—
194#2674C2212yes—
195#2674C2212yes—
196#2674C2212yes—
197#2673C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2663C2212yes—
201#2662C2212yes—
202#2658C2212yes—
203#2655C2212yes—
204#2654C2212yes—
205#2654C2212yes—
206#2653C2212yes—
207#2653C2212yes—
208#2649C2212yes—
209#2644C2211yescharacteristic
210#2644C2211yescharacteristic
211#2643C2212yes—
212#2640C2212yes—
213#2636C2212yes—
214#2630C2212yes—
215#2629C2212yes—
216#2628C2211yescharacteristic
217#2625C2212yes—
218#2621C2212yes—
219#2620C2212yes—
220#2619C2211yescharacteristic
221#2612C2212yes—
222#2612C2212yes—
223#2612C2212yes—
224#2610C2212yes—
225#2610C2212yes—
226#2610C2212yes—
227#2603C2212yes—
228#2603C2212yes—
229#2601C2212yes—
230#2601C2212yes—
231#2601C2212yes—
232#2599C2212yes—
233#2597C2212yes—
234#2596C2212yes—
235#2595C2212yes—
236#2595C2212yes—
237#2595C2212yes—
238#2595C2212yes—
239#2594C2212yes—
240#2589C2212yes—
241#2587C2212yes—
242#2586C2212yes—
243#2586C2212yes—
244#2585C2212yes—
245#2583C2212yes—
246#2567C2211yescharacteristic
247#2566C2211yescharacteristic
248#2560C2212yes—
249#2559C2212yes—
250#2559C2212yes—
251#2557C2212yes—
252#2557C2212yes—
253#2557C2212yes—
254#2557C2212yes—
255#2556C2212yes—
256#2556C2212yes—
257#2556C2212yes—
258#2556C2212yes—
259#2556C2212yes—
260#2556C2212yes—
261#2555C2212yes—
262#2554C2212yes—
263#2554C2212yes—
264#2552C2211yescharacteristic
265#2551C2212yes—
266#2551C2212yes—
267#2550C2212yes—
268#2550C2211yescharacteristic
269#2549C2212yes—
270#2549C2212yes—
271#2546C2212yes—
272#2545C2212yes—
273#2542C2212yes—
274#2540C2212yes—
275#2540C2212yes—
276#2533C2212yes—
277#2530C2212yes—
278#2528C2212yes—
279#2528C2212yes—
280#2528C2212yes—
281#2527C2212yes—
282#2525C2212yes—
283#2522C2212yes—
284#2521C2212yes—
285#2520C2212yes—
286#2520C2212yes—
287#2519C2212yes—
288#2519C2212yes—
289#2513C2212yes—
290#2512C2212yes—
291#2512C2212yes—
292#2506C2212yes—
293#2497C2211yescharacteristic
294#2497C2211yescharacteristic
295#2497C2211yescharacteristic
296#2494C2211yescharacteristic
297#2492C2212yes—
298#2491C2211yescharacteristic
299#2491C2212yes—
300#2490C2211yescharacteristic
301#2479C2212yes—
302#2479C2212yes—
303#2479C2212yes—
304#2478C2212yes—
305#2478C2212yes—
306#2478C2212yes—
307#2476C2212yes—
308#2475C2212yes—
309#2474C2212yes—
310#2474C2212yes—
311#2474C2212yes—
312#2474C2212yes—
313#2471C2212yes—
314#2471C2212yes—
315#2471C2212yes—
316#2471C2212yes—
317#2471C2212yes—
318#2470C2212yes—
319#2470C2212yes—
320#2470C2212yes—
321#2470C2212yes—
322#2469C2212yes—
323#2469C2212yes—
324#2466C2212yes—
325#2465C2212yes—
326#2461C2212yes—
327#2460C2212yes—
328#2452C2212yes—
329#2452C2212yes—
330#2451C2212yes—
331#2448C2212yes—
332#2448C2212yes—
333#2446C2212yes—
334#2445C2212yes—
335#2443C2212yes—
336#2443C2212yes—
337#2441C2212yes—
338#2441C2212yes—
339#2440C2212yes—
340#2429C2212yes—
341#2429C2212yes—
342#2429C2212yes—
343#2429C2212yes—
344#2427C2212yes—
345#2426C2212yes—
346#2425C2212yes—
347#2425C2212yes—
348#2423C2212yes—
349#2423C2211yescharacteristic
350#2423C2211yescharacteristic
351#2419C2212yes—
352#2413C2212yes—
353#2399C2212yes—
354#2396C2212yes—
355#2396C2212yes—
356#2373C2212yes—
357#2373C2212yes—
358#2373C2212yes—
359#2371C2212yes—
360#2370C2212yes—
361#2370C2211yescharacteristic
362#2369C2211yescharacteristic
363#2368C2212yes—
364#2367C2212yes—
365#2367C2212yes—
366#2365C2212yes—
367#2362C2212yes—
368#2357C2211yescharacteristic
369#2352C2212yes—
370Q8×C4⋊C4C2211yescharacteristic
371#2346C2212yes—
372#2337C2212yes—
373#2335C2212yes—
374#2334C2212yes—
375#2333C2212yes—
376#2331C2211yescharacteristic
377#2331C2212yes—
378#2328C2211yescharacteristic
379#2324C2211yescharacteristic
380#2324C2211yescharacteristic
381#2323C2212yes—
382C4×C4⋊Q8C2211yescharacteristic
383C4×#125C2211yescharacteristic
384C4×C22⋊Q8C2211yescharacteristic
385C4×C22⋊Q8C2212yes—
386C4×#121C2211yescharacteristic
387#2296C2212yes—
388#2295C2211yescharacteristic
389#2295C2211yescharacteristic
390#2293C2211yescharacteristic
391#2293C2211yescharacteristic
392#2290C2212yes—
393#2290C2212yes—
394C4×#117C2211yescharacteristic
395#563—48no—
396#562—48no—
397#544—48no—
398#542—48no—
399#542—48no—
400#533—48no—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2312yes—
413C2×#127C2311yescharacteristic
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#126C2312yes—
421C2×#126C2312yes—
422C2×#126C2312yes—
423C2×#126C2312yes—
424C2×#125C2311yescharacteristic
425C2×#125C2312yes—
426C2×#125C2312yes—
427C2×#125C2311yescharacteristic
428C2×#125C2312yes—
429C2×#125C2312yes—
430C2×#125C2312yes—
431C2×#125C2312yes—
432C2×#125C2312yes—
433C2×#125C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#124C2312yes—
440C2×#124C2312yes—
441C2×#124C2312yes—
442C2×#124C2312yes—
443C2×#124C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2311yescharacteristic
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2312yes—
468C2×C22⋊Q8C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2312yes—
473C2×C22⋊Q8C2312yes—
474C2×C22⋊Q8C2312yes—
475C2×#121C2311yescharacteristic
476C2×#121C2311yescharacteristic
477C2×#121C2311yescharacteristic
478C2×#121C2312yes—
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×C4×Q8C2311yescharacteristic
485C2×C4×Q8C2311yescharacteristic
486C2×C4×Q8C2312yes—
487C2×C4×Q8C2311yescharacteristic
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2312yes—
490C2×C4×Q8C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C42C2312yes—
508C22×C42C2311yescharacteristic
509#401C2312yes—
510#401C2312yes—
511#401C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
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#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
552#399C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#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#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
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#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
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#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2311yescharacteristic
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2311yescharacteristic
757#390C2312yes—
758#390C2311yescharacteristic
759#390C2311yescharacteristic
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2311yescharacteristic
765#390C2311yescharacteristic
766#390C2311yescharacteristic
767#390C2311yescharacteristic
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2311yescharacteristic
775#390C2311yescharacteristic
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#390C2311yescharacteristic
780#390C2311yescharacteristic
781#390C2311yescharacteristic
782#390C2311yescharacteristic
783#390C2311yescharacteristic
784#390C2312yes—
785#390C2312yes—
786#390C2312yes—
787#390C2312yes—
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2311yescharacteristic
798#389C2311yescharacteristic
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2311yescharacteristic
812#389C2311yescharacteristic
813#389C2312yes—
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2311yescharacteristic
822#389C2311yescharacteristic
823#389C2312yes—
824#389C2311yescharacteristic
825#389C2312yes—
826#389C2311yescharacteristic
827#389C2311yescharacteristic
828#389C2312yes—
829#389C2311yescharacteristic
830#389C2311yescharacteristic
831#389C2311yescharacteristic
832#389C2312yes—
833#389C2312yes—
834#389C2311yescharacteristic
835#389C2311yescharacteristic
836#389C2312yes—
837#389C2311yescharacteristic
838#389C2311yescharacteristic
839#389C2312yes—
840#389C2312yes—
841#389C2312yes—
842#389C2312yes—
843#389C2311yescharacteristic
844#389C2311yescharacteristic
845#389C2312yes—
846#389C2312yes—
847#389C2311yescharacteristic
848#389C2312yes—
849#389C2311yescharacteristic
850#389C2312yes—
851#389C2312yes—
852#389C2312yes—
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#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
909#388C2312yes—
910#388C2312yes—
911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
919#388C2312yes—
920#388C2312yes—
921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
925#388C2312yes—
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#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
976#387C2312yes—
977#387C2312yes—
978#387C2312yes—
979#387C2312yes—
980#387C2312yes—
981#387C2312yes—
982#387C2312yes—
983#387C2312yes—
984#387C2312yes—
985#387C2312yes—
986#387C2312yes—
987#387C2312yes—
988#387C2312yes—
989#387C2312yes—
990#387C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#386C2312yes—
1013#386C2312yes—
1014#386C2312yes—
1015#386C2312yes—
1016#386C2312yes—
1017#386C2312yes—
1018#386C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2312yes—
1048#385C2312yes—
1049#385C2312yes—
1050#385C2312yes—
1051#385C2312yes—
1052#385C2312yes—
1053#384C2311yescharacteristic
1054#384C2311yescharacteristic
1055#384C2311yescharacteristic
1056#384C2311yescharacteristic
1057#384C2311yescharacteristic
1058#384C2311yescharacteristic
1059#384C2312yes—
1060#384C2312yes—
1061#383C2312yes—
1062#382C2311yescharacteristic
1063#382C2311yescharacteristic
1064#382C2312yes—
1065#382C2311yescharacteristic
1066#382C2312yes—
1067#382C2311yescharacteristic
1068#382C2312yes—
1069#382C2312yes—
1070#381C2312yes—
1071#381C2312yes—
1072#380C2312yes—
1073#380C2311yescharacteristic
1074#380C2311yescharacteristic
1075#380C2312yes—
1076#380C2311yescharacteristic
1077#380C2311yescharacteristic
1078#380C2312yes—
1079#380C2311yescharacteristic
1080#380C2311yescharacteristic
1081#380C2312yes—
1082#380C2312yes—
1083#380C2311yescharacteristic
1084#380C2312yes—
1085#380C2312yes—
1086#380C2312yes—
1087#380C2311yescharacteristic
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2312yes—
1108C4×C4⋊C4C2312yes—
1109C4×C4⋊C4C2311yescharacteristic
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2312yes—
1113C4×C4⋊C4C2311yescharacteristic
1114C4×C4⋊C4C2311yescharacteristic
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2312yes—
1118C4×C4⋊C4C2311yescharacteristic
1119C4×C4⋊C4C2312yes—
1120C4×C4⋊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—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2311yescharacteristic
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2311yescharacteristic
1138C4×C22⋊C4C2311yescharacteristic
1139#376C2311yescharacteristic
1140#376C2312yes—
1141#376C2312yes—
1142#376C2312yes—
1143#376C2312yes—
1144#376C2311yescharacteristic
1145C2×#95C2312yes—
1146C43C2311yescharacteristic
1147C43C2311yescharacteristic
1148C22×Q8C2412yes—
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×Q8C2412yes—
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×Q8C2411yescharacteristic
1156C22×D4C2412yes—
1157C22×D4C2411yescharacteristic
1158C22×D4C2412yes—
1159C22×D4C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C23×C4C2411yescharacteristic
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2411yescharacteristic
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C4⋊Q8—28no—
1181C4⋊Q8—24no—
1182C4⋊Q8—42no—
1183C4⋊Q8—42no—
1184C4⋊Q8—44no—
1185C4⋊Q8—44no—
1186C4⋊Q8—44no—
1187C4⋊Q8—44no—
1188C4⋊Q8—44no—
1189C4⋊Q8—44no—
1190C4⋊Q8—44no—
1191C4⋊Q8—44no—
1192#127—42no—
1193#126—28no—
1194#126—44no—
1195#126—44no—
1196#126—44no—
1197#126—44no—
1198#126—44no—
1199#126—44no—
1200#126—44no—
1201#126—44no—
1202#126—44no—
1203#125—28no—
1204#125—24no—
1205#125—42no—
1206#125—44no—
1207#125—44no—
1208#125—44no—
1209#125—44no—
1210#125—44no—
1211#125—44no—
1212#125—44no—
1213#124—28no—
1214#124—44no—
1215#124—44no—
1216#124—44no—
1217#124—44no—
1218#124—44no—
1219#124—44no—
1220#124—44no—
1221#124—44no—
1222#124—44no—
1223#123—44no—
1224#123—44no—
1225#123—44no—
1226#123—44no—
1227#123—44no—
1228#123—44no—
1229#123—44no—
1230#123—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234C22⋊Q8—28no—
1235C22⋊Q8—24no—
1236C22⋊Q8—28no—
1237C22⋊Q8—28no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241C22⋊Q8—44no—
1242C22⋊Q8—44no—
1243C22⋊Q8—44no—
1244C22⋊Q8—44no—
1245C22⋊Q8—44no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251C22⋊Q8—44no—
1252C22⋊Q8—44no—
1253C22⋊Q8—44no—
1254#121—24no—
1255#121—42no—
1256#121—42no—
1257#121—44no—
1258#121—44no—
1259#121—44no—
1260#121—44no—
1261#121—44no—
1262#121—44no—
1263C4×Q8—24no—
1264C4×Q8—24no—
1265C4×Q8—42no—
1266C4×Q8—44no—
1267C4×Q8—44no—
1268C4×Q8—44no—
1269C4×Q8—44no—
1270C4×D4—24no—
1271C4×D4—24no—
1272C4×D4—42no—
1273C4×D4—44no—
1274C4×D4—44no—
1275C4×D4—44no—
1276#117—24no—
1277#117—44no—
1278#117—44no—
1279#117—42no—
1280#117—44no—
1281#117—44no—
1282#117—44no—
1283#117—44no—
1284#117—44no—
1285C2×C4⋊C4—44no—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2411yescharacteristic
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2411yescharacteristic
1374C2×C4⋊C4C2411yescharacteristic
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2411yescharacteristic
1398C2×C22⋊C4C2411yescharacteristic
1399C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C42—44no—
1471C2×C42—42no—
1472C2×C42C2411yescharacteristic
1473C2×C42C2411yescharacteristic
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2411yescharacteristic
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2411yescharacteristic
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2411yescharacteristic
1517#95C2412yes—
1518#95C2411yescharacteristic
1519#95C2411yescharacteristic
1520#95C2412yes—
1521#95C2411yescharacteristic
1522#95C2411yescharacteristic
1523#95C2411yescharacteristic
1524#95C2411yescharacteristic
1525#95C2411yescharacteristic
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—
1611C24C2512yes—
1612C24C2512yes—
1613C24C2511yescharacteristic
1614C24C2512yes—
1615C2×Q8—24no—
1616C2×Q8—24no—
1617C2×Q8—24no—
1618C2×Q8—24no—
1619C2×Q8—41no—
1620C2×Q8—41no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8H(5,𝔽2)14yes—
1639C2×D4—24no—
1640C2×D4—22no—
1641C2×D4—24no—
1642C2×D4—22no—
1643C2×D4—22no—
1644C2×D4—24no—
1645C2×D4—42no—
1646C2×D4—41no—
1647C2×D4—41no—
1648C2×D4—41no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—41no—
1652C2×D4—41no—
1653C2×D4—42no—
1654C2×D4—41no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
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—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C22×C4—24no—
1676C22×C4—22no—
1677C22×C4—24no—
1678C22×C4—24no—
1679C22×C4—22no—
1680C22×C4—24no—
1681C22×C4—22no—
1682C22×C4—22no—
1683C22×C4—24no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—41no—
1693C22×C4—41no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—41no—
1698C22×C4—41no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2512yes—
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2511yescharacteristic
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2511yescharacteristic
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2511yescharacteristic
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2511yescharacteristic
1740C22×C4C2511yescharacteristic
1741C22×C4C2511yescharacteristic
1742C22×C4C2511yescharacteristic
1743C22×C4C2511yescharacteristic
1744C22×C4C2511yescharacteristic
1745C22×C4C2511yescharacteristic
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—22no—
1756C4⋊C4—22no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—22no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—22no—
1771C4⋊C4—24no—
1772C4⋊C4—22no—
1773C4⋊C4—22no—
1774C4⋊C4—22no—
1775C4⋊C4—22no—
1776C4⋊C4—22no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—22no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—41no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—41no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—41no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—41no—
1837C4⋊C4—41no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—41no—
1845C4⋊C4—41no—
1846C4⋊C4—41no—
1847C4⋊C4—41no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4H(5,𝔽2)14yes—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—22no—
1864C22⋊C4—22no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—22no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
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—41no—
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—
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—
1930C42—24no—
1931C42—24no—
1932C42—22no—
1933C42—22no—
1934C42—24no—
1935C42—24no—
1936C42—24no—
1937C42—22no—
1938C42—22no—
1939C42—22no—
1940C42—22no—
1941C42—22no—
1942C42—24no—
1943C42—22no—
1944C42—24no—
1945C42—41no—
1946C42—41no—
1947C42—42no—
1948C42—42no—
1949C42—41no—
1950C42—42no—
1951C42—41no—
1952C42—42no—
1953C42—41no—
1954C42—41no—
1955C42—42no—
1956C42—41no—
1957C42—42no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C422−1+414yes—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—21no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—21no—
1977C23—22no—
1978C23—21no—
1979C23—22no—
1980C23—22no—
1981C23—21no—
1982C23—22no—
1983C23—22no—
1984C23—22no—
1985C23—22no—
1986C23—22no—
1987C23—22no—
1988C23—21no—
1989C23—22no—
1990C23—22no—
1991C23—22no—
1992C23—21no—
1993C23—21no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23C2611yescharacteristic
1998Q8—44no—
1999Q8—84no—
2000Q8—84no—
2001Q8—84no—
2002Q8—84no—
2003Q8—162no—
2004Q8—162no—
2005Q8—162no—
2006D4—82no—
2007D4—82no—
2008D4—84no—
2009D4—84no—
2010D4—84no—
2011D4—82no—
2012D4—162no—
2013D4—162no—
2014D4—162no—
2015D4—162no—
2016D4—162no—
2017D4—162no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—21no—
2029C2×C4—21no—
2030C2×C4—21no—
2031C2×C4—21no—
2032C2×C4—21no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—21no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—21no—
2079C2×C4—22no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—21no—
2096C2×C4—22no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—21no—
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—21no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—44no—
2115C2×C4—48no—
2116C2×C4—48no—
2117C2×C4—48no—
2118C2×C4—84no—
2119C2×C4—84no—
2120C2×C4—82no—
2121C2×C4—82no—
2122C2×C4—162no—
2123C2×C4—162no—
2124C2×C4—162no—
2125C2×C4—162no—
2126C2×C4C2×H(5,𝔽2)14yes—
2127C2×C4C2×H(5,𝔽2)12yes—
2128C2×C4C2×H(5,𝔽2)12yes—
2129C2×C4C2×H(5,𝔽2)14yes—
2130C2×C4C2×2−1+412yes—
2131C2×C4C2×2−1+412yes—
2132C2×C4C2×2−1+412yes—
2133C2×C4#58512yes—
2134C2×C4#58512yes—
2135C22—41no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—41no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—41no—
2147C22—42no—
2148C22—41no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—41no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—41no—
2159C22—41no—
2160C22—42no—
2161C22—42no—
2162C22—42no—
2163C22C22×H(5,𝔽2)11yescharacteristic
2164C22C22×H(5,𝔽2)11yescharacteristic
2165C22C22×2−1+411yescharacteristic
2166C22C2×#58511yescharacteristic
2167C22C2×#58511yescharacteristic
2168C222−1+611yescharacteristic
2169C222−1+611yescharacteristic
2170C4—22no—
2171C4—22no—
2172C4—24no—
2173C4—22no—
2174C4—24no—
2175C4—22no—
2176C4—22no—
2177C4—22no—
2178C4—22no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—41no—
2186C4—41no—
2187C4—42no—
2188C4—41no—
2189C4—42no—
2190C4—42no—
2191C4—41no—
2192C4—42no—
2193C4—42no—
2194C4—41no—
2195C4—42no—
2196C4—41no—
2197C4—42no—
2198C4—42no—
2199C4—42no—
2200C4—42no—
2201C4—41no—
2202C4—42no—
2203C4—42no—
2204C4—42no—
2205C2—81no—
2206C2—82no—
2207C2—82no—
2208C2—82no—
2209C2#6275211yescharacteristic
2210C2#6290111yescharacteristic
2211C2#6291311yescharacteristic
2212C2#6291311yescharacteristic
2213C2#6293111yescharacteristic
2214C2#6301411yescharacteristic
2215C2#6306411yescharacteristic
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. #59778C2semidirect
2. #58974C2semidirect
3. #58951C2semidirect
4. #58216C2semidirect
5. #56240C2semidirect
6. #55870C2semidirect
7. #55510C2semidirect
8. #54988C2semidirect
9. #54124C2semidirect
10. #53377C2semidirect
11. #53209C2semidirect
12. #52438C2semidirect
13. #52162C2semidirect
14. #51751C2semidirect
15. #49568C2semidirect
16. #47716C2semidirect
17. #47673C2semidirect
18. #45998C2semidirect
19. #45789C2semidirect
20. #45784C2semidirect
21. #44416C2semidirect
22. #44361C2semidirect
23. #44317C2semidirect
24. #41818C2semidirect
25. #41296C2semidirect
26. #39455C2semidirect
27. #39365C2semidirect
28. #38790C2semidirect
29. #38735C2semidirect
30. #38714C2semidirect
31. #38494C2semidirect
32. #37795C2semidirect
33. #37773C2semidirect
34. #37220C2semidirect
35. #37200C2semidirect
36. #37192C2semidirect
37. #36503C2semidirect
38. #36287C2semidirect
39. #35296C2semidirect

Maximal subgroups

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

subgroupindex
#597782
#589742
#589512
#582162
#562402
#558702
#555102
#549882
#541242
#533772
#532092
#524382
#521622
#517512
#495682
#477162
#476732
#459982
#457892
#457842
#444162
#443612
#443172
#418182
#412962
#394552
#393652
#387902
#387352
#387142
#384942
#377952
#377732
#372202
#372002
#371922
#365032
#362872
#352962