Finite Group Databasebeta

← #8825270

Subgroups — #8825270

Order 512.

4274 conjugacy classes of subgroups.

The subgroup lattice has 2174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57556C212yesmaximal, complemented
2#56537C212yesmaximal, complemented
3#55772C212yesmaximal, complemented
4#55619C212yesmaximal, complemented
5#55395C212yesmaximal, complemented
6#53845C212yesmaximal, complemented
7#53730C212yesmaximal, complemented
8#53349C211yesmaximal, characteristic, complemented
9#53344C211yesmaximal, characteristic, complemented
10#51570C212yesmaximal, complemented
11#51262C212yesmaximal, complemented
12#51192C212yesmaximal, complemented
13#48678C212yesmaximal, complemented
14#48589C212yesmaximal, complemented
15#48277C212yesmaximal, complemented
16#48006C212yesmaximal, complemented
17#47986C212yesmaximal, complemented
18#47841C212yesmaximal, complemented
19#47614C212yesmaximal, complemented
20#47286C212yesmaximal, complemented
21#46916C212yesmaximal, complemented
22#46851C212yesmaximal, complemented
23#46819C212yesmaximal, complemented
24#46294C211yesmaximal, characteristic, complemented
25#45948C211yesmaximal, characteristic, complemented
26#45801C211yesmaximal, characteristic, complemented
27#45249C212yesmaximal, complemented
28#41162C212yesmaximal, complemented
29#41079C212yesmaximal, complemented
30#39615C211yesmaximal, characteristic, complemented
31#39453C211yesmaximal, characteristic, complemented
32#38801C211yesmaximal, characteristic, complemented
33#38484C211yesmaximal, characteristic, complemented
34#37309C211yesmaximal, characteristic, complemented
35#37210C211yesmaximal, characteristic, complemented
36#37191C211yesmaximal, characteristic, complemented
37#36277C211yesmaximal, characteristic, complemented
38#35047C211yesmaximal, characteristic, complemented
39#35037C211yesmaximal, characteristic, complemented
40C2×D4×Q8C2212yes—
41C2×#541C2212yes—
42C2×#539C2212yes—
43#2864C2211yescharacteristic
44#2863C2211yescharacteristic
45#2860C2211yescharacteristic
46#2860C2211yescharacteristic
47#2859C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2211yescharacteristic
51#2854C2211yescharacteristic
52#2854C2211yescharacteristic
53#2851C2211yescharacteristic
54#2839C2212yes—
55#2837C2212yes—
56#2836C2212yes—
57#2836C2212yes—
58#2832C2212yes—
59#2831C2212yes—
60#2830C2212yes—
61#2830C2212yes—
62#2825C2212yes—
63#2816C2212yes—
64#2813C2212yes—
65#2810C2211yescharacteristic
66#2809C2211yescharacteristic
67#2808C2211yescharacteristic
68#2806C2212yes—
69#2806C2212yes—
70#2805C2211yescharacteristic
71#2805C2212yes—
72#2803C2212yes—
73#2802C2212yes—
74#2800C2212yes—
75#2798C2212yes—
76#2798C2212yes—
77#2798C2212yes—
78#2795C2212yes—
79#2794C2212yes—
80#2793C2212yes—
81#2792C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2790C2212yes—
86#2790C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2782C2212yes—
90#2780C2212yes—
91#2779C2212yes—
92#2777C2212yes—
93#2776C2212yes—
94#2776C2212yes—
95#2776C2212yes—
96#2775C2212yes—
97#2775C2212yes—
98#2774C2212yes—
99#2774C2212yes—
100#2770C2212yes—
101#2770C2212yes—
102#2770C2212yes—
103#2767C2212yes—
104#2766C2212yes—
105#2766C2212yes—
106#2765C2212yes—
107#2764C2212yes—
108#2762C2212yes—
109#2759C2212yes—
110#2758C2212yes—
111#2758C2212yes—
112#2757C2212yes—
113#2756C2212yes—
114#2756C2212yes—
115#2756C2212yes—
116#2752C2212yes—
117#2749C2212yes—
118#2748C2212yes—
119#2745C2212yes—
120#2744C2212yes—
121#2742C2212yes—
122#2741C2212yes—
123#2741C2212yes—
124#2741C2212yes—
125#2740C2212yes—
126#2740C2212yes—
127#2739C2212yes—
128#2738C2212yes—
129#2738C2212yes—
130#2737C2212yes—
131#2734C2211yescharacteristic
132#2734C2211yescharacteristic
133#2732C2211yescharacteristic
134#2732C2211yescharacteristic
135#2732C2211yescharacteristic
136#2731C2212yes—
137#2729C2212yes—
138#2729C2212yes—
139#2729C2212yes—
140#2729C2212yes—
141#2728C2212yes—
142#2727C2211yescharacteristic
143#2727C2211yescharacteristic
144#2726C2211yescharacteristic
145#2726C2211yescharacteristic
146#2726C2211yescharacteristic
147#2726C2211yescharacteristic
148#2725C2212yes—
149#2723C2212yes—
150#2723C2212yes—
151#2722C2212yes—
152#2721C2212yes—
153#2721C2212yes—
154#2721C2212yes—
155#2721C2212yes—
156#2721C2212yes—
157#2720C2212yes—
158#2720C2212yes—
159#2720C2212yes—
160#2719C2212yes—
161#2719C2212yes—
162#2719C2212yes—
163#2718C2212yes—
164#2718C2212yes—
165#2718C2212yes—
166#2718C2212yes—
167#2716C2212yes—
168#2716C2212yes—
169#2716C2212yes—
170#2713C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2711C2212yes—
174#2711C2212yes—
175#2710C2212yes—
176#2707C2212yes—
177#2705C2212yes—
178#2704C2212yes—
179#2704C2212yes—
180#2704C2212yes—
181#2704C2212yes—
182#2704C2212yes—
183#2702C2212yes—
184#2702C2212yes—
185#2702C2212yes—
186#2702C2212yes—
187#2701C2212yes—
188#2700C2212yes—
189#2696C2212yes—
190#2695C2212yes—
191#2694C2212yes—
192#2694C2212yes—
193#2691C2212yes—
194#2689C2212yes—
195#2689C2212yes—
196#2689C2212yes—
197#2687C2212yes—
198#2682C2211yescharacteristic
199#2681C2212yes—
200#2680C2212yes—
201#2676C2212yes—
202#2671C2212yes—
203#2666C2212yes—
204#2664C2212yes—
205#2663C2212yes—
206#2659C2212yes—
207#2653C2212yes—
208#2652C2212yes—
209#2650C2212yes—
210#2650C2212yes—
211#2649C2212yes—
212#2649C2212yes—
213#2648C2212yes—
214#2648C2212yes—
215#2638C2212yes—
216#2636C2212yes—
217#2632C2212yes—
218#2630C2212yes—
219#2630C2212yes—
220#2630C2212yes—
221#2629C2212yes—
222#2614C2212yes—
223#2611C2212yes—
224#2608C2212yes—
225#2607C2212yes—
226#2606C2212yes—
227#2605C2212yes—
228#2604C2212yes—
229#2601C2212yes—
230#2600C2212yes—
231#2599C2212yes—
232#2596C2212yes—
233#2595C2212yes—
234#2594C2212yes—
235#2594C2212yes—
236#2593C2212yes—
237#2593C2212yes—
238#2589C2212yes—
239#2589C2212yes—
240#2588C2212yes—
241#2588C2212yes—
242#2588C2212yes—
243#2584C2212yes—
244#2583C2212yes—
245#2578C2212yes—
246#2577C2212yes—
247#2577C2212yes—
248#2575C2212yes—
249#2574C2212yes—
250#2574C2212yes—
251#2573C2212yes—
252#2569C2212yes—
253#2569C2212yes—
254#2565C2212yes—
255#2564C2212yes—
256#2564C2212yes—
257#2564C2212yes—
258#2562C2212yes—
259#2560C2212yes—
260#2560C2212yes—
261#2560C2212yes—
262#2559C2212yes—
263#2558C2212yes—
264#2558C2212yes—
265#2558C2212yes—
266#2556C2212yes—
267#2556C2212yes—
268#2556C2212yes—
269#2553C2212yes—
270#2552C2212yes—
271#2552C2212yes—
272#2552C2212yes—
273#2550C2212yes—
274#2550C2212yes—
275#2538C2212yes—
276#2536C2212yes—
277#2531C2212yes—
278#2525C2212yes—
279#2525C2212yes—
280#2525C2212yes—
281#2524C2212yes—
282#2524C2212yes—
283#2524C2212yes—
284#2523C2212yes—
285#2522C2212yes—
286#2522C2212yes—
287#2519C2212yes—
288#2519C2212yes—
289#2518C2212yes—
290#2515C2212yes—
291#2511C2211yescharacteristic
292#2511C2212yes—
293#2509C2211yescharacteristic
294#2507C2211yescharacteristic
295#2507C2212yes—
296#2500C2211yescharacteristic
297#2500C2212yes—
298#2500C2211yescharacteristic
299#2498C2212yes—
300#2497C2212yes—
301#2497C2211yescharacteristic
302#2495C2212yes—
303#2494C2211yescharacteristic
304#2492C2211yescharacteristic
305#2487C2211yescharacteristic
306#2485C2211yescharacteristic
307#2485C2211yescharacteristic
308#2484C2212yes—
309#2481C2212yes—
310#2479C2212yes—
311#2475C2212yes—
312#2473C2212yes—
313#2470C2212yes—
314#2469C2212yes—
315#2469C2212yes—
316#2468C2212yes—
317#2468C2212yes—
318#2468C2212yes—
319#2467C2212yes—
320#2467C2212yes—
321#2467C2212yes—
322#2466C2212yes—
323#2466C2212yes—
324#2464C2212yes—
325#2463C2212yes—
326#2462C2212yes—
327#2462C2212yes—
328#2462C2212yes—
329#2460C2212yes—
330#2460C2212yes—
331#2460C2212yes—
332#2459C2212yes—
333#2458C2212yes—
334#2457C2212yes—
335#2456C2212yes—
336#2455C2212yes—
337#2454C2211yescharacteristic
338#2452C2212yes—
339#2452C2211yescharacteristic
340#2451C2211yescharacteristic
341#2449C2212yes—
342#2447C2212yes—
343#2446C2212yes—
344#2444C2212yes—
345#2441C2211yescharacteristic
346#2440C2212yes—
347#2439C2211yescharacteristic
348#2434C2212yes—
349#2423C2212yes—
350#2423C2212yes—
351#2423C2211yescharacteristic
352#2422C2211yescharacteristic
353#2421C2212yes—
354#2420C2211yescharacteristic
355#2417C2212yes—
356#2414C2211yescharacteristic
357#2414C2211yescharacteristic
358#2409C2212yes—
359#2409C2212yes—
360#2409C2212yes—
361#2409C2212yes—
362#2409C2211yescharacteristic
363#2392C2212yes—
364#2383C2212yes—
365#2378C2212yes—
366#2378C2212yes—
367#2376C2212yes—
368#2368C2212yes—
369#2365C2212yes—
370#2361C2212yes—
371#2359C2212yes—
372#2353C2212yes—
373#2345C2211yescharacteristic
374Q8×C22⋊C4C2212yes—
375Q8×C22⋊C4C2211yescharacteristic
376#2336C2212yes—
377#2336C2212yes—
378#2335C2212yes—
379#2335C2212yes—
380#2334C2212yes—
381#2334C2212yes—
382#2332C2212yes—
383#2332C2212yes—
384#2325C2212yes—
385#2323C2212yes—
386#2314C2212yes—
387C4×C22⋊Q8C2211yescharacteristic
388C4×#121C2211yescharacteristic
389C4×#121C2211yescharacteristic
390#2296C2211yescharacteristic
391#2296C2211yescharacteristic
392#2295C2211yescharacteristic
393C2×#391C2211yescharacteristic
394C42×D4C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396C23×Q8C2312yes—
397D4×Q8—48no—
398#541—48no—
399#539—48no—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2311yescharacteristic
424C2×#125C2312yes—
425C2×#124C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
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⋊Q8C2311yescharacteristic
447C2×C22⋊Q8C2312yes—
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C42C2311yescharacteristic
479C22×C42C2311yescharacteristic
480#401C2312yes—
481#401C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
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#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
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#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
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#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2311yescharacteristic
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2311yescharacteristic
731#391C2311yescharacteristic
732#391C2312yes—
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#390C2311yescharacteristic
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2311yescharacteristic
747#390C2311yescharacteristic
748#390C2311yescharacteristic
749#390C2311yescharacteristic
750#390C2311yescharacteristic
751#390C2311yescharacteristic
752#390C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2312yes—
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2311yescharacteristic
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2311yescharacteristic
799#389C2311yescharacteristic
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2311yescharacteristic
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2311yescharacteristic
814#389C2311yescharacteristic
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#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#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
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#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#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#384C2312yes—
1041#384C2312yes—
1042#384C2311yescharacteristic
1043#384C2311yescharacteristic
1044#384C2311yescharacteristic
1045#384C2311yescharacteristic
1046#384C2312yes—
1047#384C2312yes—
1048#384C2312yes—
1049#383C2312yes—
1050#383C2312yes—
1051#383C2312yes—
1052#383C2312yes—
1053#383C2312yes—
1054#383C2312yes—
1055#383C2312yes—
1056#383C2312yes—
1057#382C2312yes—
1058#382C2312yes—
1059#382C2312yes—
1060#382C2311yescharacteristic
1061#382C2312yes—
1062#382C2312yes—
1063#382C2311yescharacteristic
1064#382C2311yescharacteristic
1065#381C2312yes—
1066#381C2312yes—
1067#381C2312yes—
1068#381C2312yes—
1069#381C2312yes—
1070#381C2312yes—
1071#381C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076#380C2311yescharacteristic
1077#380C2311yescharacteristic
1078#380C2312yes—
1079#380C2312yes—
1080#380C2312yes—
1081#380C2311yescharacteristic
1082#380C2312yes—
1083#380C2312yes—
1084#380C2312yes—
1085#380C2311yescharacteristic
1086#380C2312yes—
1087#380C2311yescharacteristic
1088#380C2312yes—
1089#380C2312yes—
1090#380C2312yes—
1091#380C2311yescharacteristic
1092#380C2312yes—
1093#380C2311yescharacteristic
1094#380C2311yescharacteristic
1095#380C2311yescharacteristic
1096#380C2311yescharacteristic
1097#380C2312yes—
1098#380C2311yescharacteristic
1099#380C2311yescharacteristic
1100C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2312yes—
1113C4×C4⋊C4C2312yes—
1114C4×C4⋊C4C2311yescharacteristic
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2311yescharacteristic
1118C4×C4⋊C4C2312yes—
1119C4×C4⋊C4C2311yescharacteristic
1120C4×C4⋊C4C2311yescharacteristic
1121C4×C4⋊C4C2311yescharacteristic
1122C4×C4⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2311yescharacteristic
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2311yescharacteristic
1139C4×C22⋊C4C2311yescharacteristic
1140C4×C22⋊C4C2311yescharacteristic
1141#376C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C43C2311yescharacteristic
1145C22×Q8—24no—
1146C22×Q8—44no—
1147C22×Q8—42no—
1148C22×Q8—44no—
1149C22×Q8—81no—
1150C22×Q8—82no—
1151C22×Q8C2412yes—
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×D4C2412yes—
1159C22×D4C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C23×C4C2411yescharacteristic
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2411yescharacteristic
1181C4⋊Q8—28no—
1182C4⋊Q8—44no—
1183C4⋊Q8—44no—
1184C4⋊Q8—81no—
1185C4⋊Q8—81no—
1186#126—44no—
1187#126—44no—
1188#126—44no—
1189#126—44no—
1190#126—44no—
1191#126—44no—
1192#126—44no—
1193#126—44no—
1194#126—44no—
1195#125—44no—
1196#125—44no—
1197#125—44no—
1198#125—44no—
1199#125—44no—
1200#125—44no—
1201#125—44no—
1202#125—44no—
1203#125—44no—
1204#125—81no—
1205#125—82no—
1206#124—82no—
1207#123—28no—
1208#123—44no—
1209#123—44no—
1210#123—44no—
1211#123—44no—
1212#123—44no—
1213#123—82no—
1214C22⋊Q8—24no—
1215C22⋊Q8—28no—
1216C22⋊Q8—28no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—44no—
1225C22⋊Q8—44no—
1226C22⋊Q8—44no—
1227C22⋊Q8—82no—
1228C22⋊Q8—81no—
1229#121—24no—
1230#121—44no—
1231#121—44no—
1232#121—42no—
1233#121—81no—
1234#121—81no—
1235C4×Q8—24no—
1236C4×Q8—44no—
1237C4×Q8—44no—
1238C4×Q8—81no—
1239C4×Q8—82no—
1240C4×D4—24no—
1241C4×D4—42no—
1242C4×D4—44no—
1243C4×D4—42no—
1244C4×D4—44no—
1245C4×D4—44no—
1246C4×D4—44no—
1247C4×D4—44no—
1248C4×D4—81no—
1249C4×D4—81no—
1250C4×D4—82no—
1251C4×D4—82no—
1252#117—24no—
1253#117—44no—
1254#117—42no—
1255#117—81no—
1256#117—81no—
1257C2×C4⋊C4—42no—
1258C2×C4⋊C4—44no—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1396C2×C22⋊C4C2411yescharacteristic
1397C2×C22⋊C4C2411yescharacteristic
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×C42—81no—
1436C2×C42—81no—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2411yescharacteristic
1441C2×C42C2411yescharacteristic
1442C2×C42C2411yescharacteristic
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2411yescharacteristic
1453C2×C42C2411yescharacteristic
1454C2×C42C2411yescharacteristic
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2411yescharacteristic
1484#95C2411yescharacteristic
1485#95C2411yescharacteristic
1486#95C2411yescharacteristic
1487#95C2411yescharacteristic
1488#95C2411yescharacteristic
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—
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—
1586C24C2512yes—
1587C24C2511yescharacteristic
1588C24C2512yes—
1589C24C2511yescharacteristic
1590C2×Q8—24no—
1591C2×Q8—24no—
1592C2×Q8—22no—
1593C2×Q8—24no—
1594C2×Q8—24no—
1595C2×Q8—41no—
1596C2×Q8—42no—
1597C2×Q8—41no—
1598C2×Q8—42no—
1599C2×Q8—42no—
1600C2×Q8—42no—
1601C2×Q8—42no—
1602C2×Q8—41no—
1603C2×Q8—42no—
1604C2×Q8—42no—
1605C2×Q8—41no—
1606C2×Q8—42no—
1607C2×Q8—42no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8—88no—
1611C2×Q8—816no—
1612C2×Q8H(5,𝔽2)14yes—
1613C2×D4—22no—
1614C2×D4—24no—
1615C2×D4—24no—
1616C2×D4—22no—
1617C2×D4—22no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—41no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—41no—
1632C2×D4—41no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C22×C4—22no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—22no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—22no—
1648C22×C4—22no—
1649C22×C4—24no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—41no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—41no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—41no—
1670C22×C4—41no—
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×C42−1+414yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2511yescharacteristic
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2511yescharacteristic
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2511yescharacteristic
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2511yescharacteristic
1695C22×C4C2511yescharacteristic
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2511yescharacteristic
1716C22×C4C2511yescharacteristic
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—22no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—22no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—22no—
1732C4⋊C4—22no—
1733C4⋊C4—22no—
1734C4⋊C4—22no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—22no—
1739C4⋊C4—22no—
1740C4⋊C4—22no—
1741C4⋊C4—24no—
1742C4⋊C4—22no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—41no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—41no—
1772C4⋊C4—41no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—41no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—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—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C22⋊C4—24no—
1824C22⋊C4—22no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—22no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—22no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—41no—
1857C22⋊C4—41no—
1858C22⋊C4—41no—
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—
1893C42—24no—
1894C42—24no—
1895C42—22no—
1896C42—24no—
1897C42—22no—
1898C42—22no—
1899C42—41no—
1900C42—41no—
1901C42—41no—
1902C42—41no—
1903C42—41no—
1904C42—41no—
1905C42—41no—
1906C42—41no—
1907C42—41no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—41no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C23—21no—
1929C23—21no—
1930C23—21no—
1931C23—21no—
1932C23—21no—
1933C23—21no—
1934C23—22no—
1935C23—21no—
1936C23—22no—
1937C23—22no—
1938C23—21no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—21no—
1943C23—22no—
1944C23—21no—
1945C23—22no—
1946C23—21no—
1947C23—22no—
1948C23—22no—
1949C23—21no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—21no—
1954C23—22no—
1955C23C2×2−1+412yes—
1956C23C2611yescharacteristic
1957Q8—44no—
1958Q8—48no—
1959Q8—48no—
1960Q8—84no—
1961Q8—82no—
1962Q8—84no—
1963Q8—162no—
1964D4—44no—
1965D4—48no—
1966D4—82no—
1967D4—82no—
1968D4—84no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—162no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—21no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—21no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—22no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—21no—
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—21no—
2032C2×C4—21no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—21no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—44no—
2073C2×C4—44no—
2074C2×C4—44no—
2075C2×C4—82no—
2076C2×C4—82no—
2077C2×C4—82no—
2078C2×C4—84no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—162no—
2085C2×C4—162no—
2086C2×C4C2×H(5,𝔽2)14yes—
2087C2×C4C2×H(5,𝔽2)12yes—
2088C2×C4C2×2−1+412yes—
2089C2×C4C2×2−1+412yes—
2090C2×C4#58512yes—
2091C2×C4#58512yes—
2092C22—22no—
2093C22—22no—
2094C22—22no—
2095C22—41no—
2096C22—41no—
2097C22—41no—
2098C22—41no—
2099C22—42no—
2100C22—41no—
2101C22—42no—
2102C22—41no—
2103C22—42no—
2104C22—42no—
2105C22—41no—
2106C22—42no—
2107C22—42no—
2108C22—41no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—41no—
2114C22—42no—
2115C22—42no—
2116C22—41no—
2117C22—42no—
2118C22—41no—
2119C22—42no—
2120C22C22×H(5,𝔽2)11yescharacteristic
2121C22C22×2−1+411yescharacteristic
2122C22C2×#58511yescharacteristic
2123C22C2×#58511yescharacteristic
2124C22H(7,𝔽2)11yescharacteristic
2125C222−1+611yescharacteristic
2126C222−1+611yescharacteristic
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—24no—
2133C4—41no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—41no—
2139C4—41no—
2140C4—42no—
2141C4—42no—
2142C4—41no—
2143C4—41no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—41no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—41no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—41no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C2—42no—
2163C2—81no—
2164C2—82no—
2165C2—82no—
2166C2#6283811yescharacteristic
2167C2#6286511yescharacteristic
2168C2#6286811yescharacteristic
2169C2#6290011yescharacteristic
2170C2#6291311yescharacteristic
2171C2#6292211yescharacteristic
2172C2#6306211yescharacteristic
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. #57556C2semidirect
2. #56537C2semidirect
3. #55772C2semidirect
4. #55619C2semidirect
5. #55395C2semidirect
6. #53845C2semidirect
7. #53730C2semidirect
8. #53349C2semidirect
9. #53344C2semidirect
10. #51570C2semidirect
11. #51262C2semidirect
12. #51192C2semidirect
13. #48678C2semidirect
14. #48589C2semidirect
15. #48277C2semidirect
16. #48006C2semidirect
17. #47986C2semidirect
18. #47841C2semidirect
19. #47614C2semidirect
20. #47286C2semidirect
21. #46916C2semidirect
22. #46851C2semidirect
23. #46819C2semidirect
24. #46294C2semidirect
25. #45948C2semidirect
26. #45801C2semidirect
27. #45249C2semidirect
28. #41162C2semidirect
29. #41079C2semidirect
30. #39615C2semidirect
31. #39453C2semidirect
32. #38801C2semidirect
33. #38484C2semidirect
34. #37309C2semidirect
35. #37210C2semidirect
36. #37191C2semidirect
37. #36277C2semidirect
38. #35047C2semidirect
39. #35037C2semidirect

Maximal subgroups

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

subgroupindex
#575562
#565372
#557722
#556192
#553952
#538452
#537302
#533492
#533442
#515702
#512622
#511922
#486782
#485892
#482772
#480062
#479862
#478412
#476142
#472862
#469162
#468512
#468192
#462942
#459482
#458012
#452492
#411622
#410792
#396152
#394532
#388012
#384842
#373092
#372102
#371912
#362772
#350472
#350372