Finite Group Databasebeta

← #7697182

Subgroups — #7697182

Order 512.

4840 conjugacy classes of subgroups.

The subgroup lattice has 2279 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60048C211yesmaximal, characteristic, complemented
2#59929C212yesmaximal, complemented
3#59923C211yesmaximal, characteristic, complemented
4#59878C211yesmaximal, characteristic, complemented
5#59790C212yesmaximal, complemented
6#59779C212yesmaximal, complemented
7#52288C211yesmaximal, characteristic, complemented
8#52287C211yesmaximal, characteristic, complemented
9#52280C211yesmaximal, characteristic, complemented
10#44815C212yesmaximal, complemented
11#44416C212yesmaximal, complemented
12#44314C212yesmaximal, complemented
13#44268C212yesmaximal, complemented
14#44186C212yesmaximal, complemented
15#44155C212yesmaximal, complemented
16#44075C212yesmaximal, complemented
17#44036C212yesmaximal, complemented
18#43902C212yesmaximal, complemented
19#40366C212yesmaximal, complemented
20#39954C212yesmaximal, complemented
21#39830C211yesmaximal, characteristic, complemented
22#39790C212yesmaximal, complemented
23#39455C211yesmaximal, characteristic, complemented
24#38782C211yesmaximal, characteristic, complemented
25#38782C211yesmaximal, characteristic, complemented
26#38717C212yesmaximal, complemented
27#38558C212yesmaximal, complemented
28#38486C211yesmaximal, characteristic, complemented
29#38435C211yesmaximal, characteristic, complemented
30#38347C212yesmaximal, complemented
31#36401C211yesmaximal, characteristic, complemented
32#36399C212yesmaximal, complemented
33#35866C212yesmaximal, complemented
34#35814C212yesmaximal, complemented
35#35744C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic, complemented
37#34316C211yesmaximal, characteristic, complemented
38#34307C212yesmaximal, complemented
39#34279C212yesmaximal, complemented
40C2×#556C2212yes—
41C2×#548C2211yescharacteristic
42C2×#547C2211yescharacteristic
43C2×#542C2212yes—
44#2860C2211yescharacteristic
45#2860C2212yes—
46#2858C2212yes—
47#2854C2211yescharacteristic
48#2854C2212yes—
49#2851C2211yescharacteristic
50#2811C2211yescharacteristic
51#2808C2211yescharacteristic
52#2808C2211yescharacteristic
53#2806C2211yescharacteristic
54#2806C2211yescharacteristic
55#2806C2212yes—
56#2806C2212yes—
57#2806C2211yescharacteristic
58#2806C2211yescharacteristic
59#2804C2211yescharacteristic
60#2803C2212yes—
61#2803C2212yes—
62#2799C2212yes—
63#2798C2212yes—
64#2796C2212yes—
65#2792C2212yes—
66#2792C2212yes—
67#2792C2212yes—
68#2781C2212yes—
69#2780C2212yes—
70#2780C2212yes—
71#2780C2212yes—
72#2777C2212yes—
73#2775C2212yes—
74#2772C2212yes—
75#2759C2212yes—
76#2759C2212yes—
77#2757C2212yes—
78#2756C2212yes—
79#2754C2212yes—
80#2748C2212yes—
81#2734C2211yescharacteristic
82#2734C2211yescharacteristic
83#2734C2212yes—
84#2733C2211yescharacteristic
85#2733C2211yescharacteristic
86#2733C2211yescharacteristic
87#2731C2212yes—
88#2731C2212yes—
89#2730C2212yes—
90#2727C2211yescharacteristic
91#2727C2211yescharacteristic
92#2723C2212yes—
93#2723C2212yes—
94#2723C2212yes—
95#2723C2212yes—
96#2718C2212yes—
97#2717C2212yes—
98#2717C2212yes—
99#2715C2212yes—
100#2715C2212yes—
101#2715C2212yes—
102#2715C2212yes—
103#2714C2212yes—
104#2714C2212yes—
105#2710C2212yes—
106#2710C2212yes—
107#2702C2212yes—
108#2702C2212yes—
109#2701C2212yes—
110#2700C2212yes—
111#2692C2212yes—
112#2692C2212yes—
113#2692C2212yes—
114#2691C2212yes—
115#2683C2211yescharacteristic
116#2676C2212yes—
117#2676C2212yes—
118#2672C2212yes—
119#2671C2212yes—
120#2662C2212yes—
121#2662C2212yes—
122#2662C2212yes—
123#2653C2212yes—
124#2651C2212yes—
125#2651C2212yes—
126#2650C2212yes—
127#2632C2212yes—
128#2630C2212yes—
129#2612C2212yes—
130#2612C2212yes—
131#2610C2212yes—
132#2610C2212yes—
133#2610C2212yes—
134#2610C2212yes—
135#2610C2212yes—
136#2610C2212yes—
137#2605C2212yes—
138#2604C2212yes—
139#2604C2212yes—
140#2603C2212yes—
141#2603C2212yes—
142#2603C2212yes—
143#2602C2212yes—
144#2602C2212yes—
145#2602C2212yes—
146#2601C2212yes—
147#2597C2212yes—
148#2597C2212yes—
149#2596C2212yes—
150#2595C2212yes—
151#2595C2212yes—
152#2594C2212yes—
153#2594C2212yes—
154#2593C2212yes—
155#2592C2212yes—
156#2589C2212yes—
157#2589C2212yes—
158#2587C2212yes—
159#2587C2212yes—
160#2586C2212yes—
161#2586C2212yes—
162#2586C2212yes—
163#2583C2212yes—
164#2578C2212yes—
165#2577C2212yes—
166#2573C2212yes—
167#2560C2212yes—
168#2560C2212yes—
169#2557C2212yes—
170#2557C2212yes—
171#2557C2212yes—
172#2556C2212yes—
173#2556C2212yes—
174#2555C2212yes—
175#2555C2212yes—
176#2555C2212yes—
177#2555C2212yes—
178#2555C2212yes—
179#2554C2212yes—
180#2554C2212yes—
181#2554C2212yes—
182#2554C2212yes—
183#2553C2212yes—
184#2553C2212yes—
185#2549C2212yes—
186#2549C2212yes—
187#2545C2212yes—
188#2544C2212yes—
189#2543C2212yes—
190#2540C2212yes—
191#2532C2212yes—
192#2531C2212yes—
193#2531C2212yes—
194#2531C2212yes—
195#2531C2212yes—
196#2530C2212yes—
197#2529C2212yes—
198#2528C2212yes—
199#2525C2212yes—
200#2522C2212yes—
201#2522C2212yes—
202#2521C2212yes—
203#2521C2212yes—
204#2521C2212yes—
205#2521C2212yes—
206#2521C2212yes—
207#2521C2212yes—
208#2517C2212yes—
209#2517C2212yes—
210#2516C2212yes—
211#2513C2211yescharacteristic
212#2513C2212yes—
213#2512C2212yes—
214#2510C2212yes—
215#2492C2212yes—
216#2490C2211yescharacteristic
217#2485C2211yescharacteristic
218#2479C2212yes—
219#2478C2212yes—
220#2478C2212yes—
221#2476C2212yes—
222#2476C2212yes—
223#2474C2212yes—
224#2474C2212yes—
225#2474C2212yes—
226#2471C2212yes—
227#2471C2212yes—
228#2469C2212yes—
229#2469C2212yes—
230#2469C2212yes—
231#2467C2212yes—
232#2467C2212yes—
233#2465C2212yes—
234#2465C2212yes—
235#2465C2212yes—
236#2465C2212yes—
237#2464C2212yes—
238#2463C2212yes—
239#2461C2212yes—
240#2461C2212yes—
241#2461C2212yes—
242#2461C2212yes—
243#2458C2212yes—
244#2458C2212yes—
245#2455C2212yes—
246#2453C2211yescharacteristic
247#2451C2212yes—
248#2451C2212yes—
249#2450C2212yes—
250#2449C2212yes—
251#2448C2212yes—
252#2448C2212yes—
253#2448C2212yes—
254#2445C2212yes—
255#2443C2212yes—
256#2443C2212yes—
257#2439C2212yes—
258#2436C2212yes—
259#2434C2212yes—
260#2432C2212yes—
261#2432C2212yes—
262#2431C2212yes—
263#2431C2212yes—
264#2431C2212yes—
265#2430C2212yes—
266#2429C2212yes—
267#2428C2212yes—
268#2427C2212yes—
269#2426C2212yes—
270#2426C2212yes—
271#2426C2212yes—
272#2425C2212yes—
273#2422C2212yes—
274#2421C2211yescharacteristic
275#2407C2211yescharacteristic
276#2399C2212yes—
277#2399C2212yes—
278#2399C2212yes—
279#2396C2212yes—
280#2396C2212yes—
281#2396C2212yes—
282#2395C2212yes—
283#2392C2212yes—
284#2388C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2374C2212yes—
288#2374C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2373C2212yes—
292#2373C2212yes—
293#2373C2212yes—
294#2373C2212yes—
295#2373C2212yes—
296#2373C2212yes—
297#2372C2212yes—
298#2372C2212yes—
299#2372C2212yes—
300#2372C2212yes—
301#2372C2212yes—
302#2372C2212yes—
303#2372C2212yes—
304#2369C2212yes—
305#2368C2212yes—
306#2368C2212yes—
307#2368C2212yes—
308#2368C2212yes—
309#2367C2211yescharacteristic
310#2367C2212yes—
311#2367C2212yes—
312#2367C2212yes—
313#2365C2211yescharacteristic
314#2364C2212yes—
315#2363C2212yes—
316#2363C2212yes—
317#2362C2212yes—
318#2362C2211yescharacteristic
319#2362C2211yescharacteristic
320#2362C2211yescharacteristic
321#2362C2212yes—
322#2361C2211yescharacteristic
323#2360C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2356C2211yescharacteristic
327#2356C2212yes—
328#2356C2212yes—
329#2354C2211yescharacteristic
330#2354C2211yescharacteristic
331#2353C2212yes—
332#2352C2212yes—
333#2352C2211yescharacteristic
334#2347C2212yes—
335#2347C2211yescharacteristic
336#2346C2212yes—
337#2345C2212yes—
338#2341C2211yescharacteristic
339#2341C2211yescharacteristic
340#2341C2211yescharacteristic
341Q8×C22⋊C4C2211yescharacteristic
342#2339C2211yescharacteristic
343#2337C2212yes—
344#2337C2212yes—
345#2337C2212yes—
346#2335C2212yes—
347#2335C2212yes—
348#2334C2212yes—
349#2334C2212yes—
350#2332C2212yes—
351#2331C2212yes—
352#2331C2212yes—
353#2326C2212yes—
354#2325C2212yes—
355#2324C2212yes—
356#2324C2212yes—
357#2323C2212yes—
358#2323C2212yes—
359#2314C2212yes—
360C4×C4⋊Q8C2211yescharacteristic
361C4×C4⋊Q8C2212yes—
362C4×#126C2212yes—
363C4×#126C2212yes—
364C4×#124C2212yes—
365C4×#124C2211yescharacteristic
366C4×#124C2212yes—
367C4×C22⋊Q8C2212yes—
368C4×C22⋊Q8C2211yescharacteristic
369C4×C22⋊Q8C2211yescharacteristic
370C4×C22⋊Q8C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×C22⋊Q8C2212yes—
373C4×#121C2211yescharacteristic
374C4×#121C2212yes—
375#2297C2211yescharacteristic
376#2297C2211yescharacteristic
377#2297C2211yescharacteristic
378#2297C2212yes—
379#2297C2211yescharacteristic
380#2295C2212yes—
381#2295C2212yes—
382#2295C2211yescharacteristic
383#2295C2212yes—
384#2295C2212yes—
385#2295C2211yescharacteristic
386C2×#391C2211yescharacteristic
387#2293C2211yescharacteristic
388#2293C2212yes—
389#2290C2212yes—
390#2276C2212yes—
391#2275C2212yes—
392#2274C2212yes—
393C42×D4C2211yescharacteristic
394C4×#117C2212yes—
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398C22×#41C2311yescharacteristic
399C23×Q8C2311yescharacteristic
400#556—216no—
401#548—28no—
402#547—28no—
403#542—216no—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×#127C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#125C2311yescharacteristic
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2311yescharacteristic
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2312yes—
431C2×#124C2312yes—
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2311yescharacteristic
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2311yescharacteristic
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C42C2312yes—
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510#401C2312yes—
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#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
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#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2311yescharacteristic
671#391C2311yescharacteristic
672#391C2312yes—
673#391C2312yes—
674#391C2311yescharacteristic
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2311yescharacteristic
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2312yes—
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#391C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2311yescharacteristic
724#390C2311yescharacteristic
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2311yescharacteristic
729#390C2312yes—
730#390C2311yescharacteristic
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2311yescharacteristic
738#390C2312yes—
739#390C2312yes—
740#390C2311yescharacteristic
741#390C2311yescharacteristic
742#390C2311yescharacteristic
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2311yescharacteristic
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2311yescharacteristic
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#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#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#384C2312yes—
1007#384C2311yescharacteristic
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2311yescharacteristic
1015#382C2312yes—
1016#382C2311yescharacteristic
1017#382C2312yes—
1018#381C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2311yescharacteristic
1028#380C2311yescharacteristic
1029#380C2311yescharacteristic
1030#380C2311yescharacteristic
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2312yes—
1035#380C2311yescharacteristic
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2311yescharacteristic
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2311yescharacteristic
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2311yescharacteristic
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2311yescharacteristic
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2311yescharacteristic
1109C4×C22⋊C4C2311yescharacteristic
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2312yes—
1144C43C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—24no—
1148C2×#41—24no—
1149C2×#41—24no—
1150C2×#41—42no—
1151C2×#41—81no—
1152C2×#41—81no—
1153C2×#41—81no—
1154C2×#41—81no—
1155C2×#41—81no—
1156C2×#41—81no—
1157C2×#41—81no—
1158C22×Q8—24no—
1159C22×Q8—81no—
1160C22×Q8—81no—
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2411yescharacteristic
1164C22×Q8C2412yes—
1165C22×Q8C2412yes—
1166C22×Q8C2412yes—
1167C22×Q8C2412yes—
1168C22×Q8C2411yescharacteristic
1169C22×Q8C2411yescharacteristic
1170C22×Q8C2411yescharacteristic
1171C22×D4C2411yescharacteristic
1172C22×D4C2412yes—
1173C22×D4C2411yescharacteristic
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2411yescharacteristic
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2411yescharacteristic
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C22×D4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2411yescharacteristic
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2411yescharacteristic
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2411yescharacteristic
1196C23×C4C2411yescharacteristic
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2411yescharacteristic
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2411yescharacteristic
1204C4⋊Q8—28no—
1205C4⋊Q8—24no—
1206C4⋊Q8—28no—
1207C4⋊Q8—82no—
1208#127—82no—
1209#126—28no—
1210#126—28no—
1211#126—28no—
1212#126—28no—
1213#126—28no—
1214#126—28no—
1215#126—82no—
1216#126—82no—
1217#126—82no—
1218#126—82no—
1219#125—81no—
1220#124—28no—
1221#124—28no—
1222#124—28no—
1223#124—28no—
1224#124—28no—
1225#124—24no—
1226#124—28no—
1227#124—28no—
1228#124—44no—
1229#124—82no—
1230#124—82no—
1231#124—82no—
1232#124—82no—
1233#124—82no—
1234#124—82no—
1235#123—28no—
1236#123—28no—
1237#123—28no—
1238#123—28no—
1239#123—82no—
1240#123—82no—
1241#123—82no—
1242#123—82no—
1243C22⋊Q8—24no—
1244C22⋊Q8—28no—
1245C22⋊Q8—28no—
1246C22⋊Q8—24no—
1247C22⋊Q8—28no—
1248C22⋊Q8—24no—
1249C22⋊Q8—28no—
1250C22⋊Q8—28no—
1251C22⋊Q8—82no—
1252C22⋊Q8—82no—
1253C22⋊Q8—82no—
1254C22⋊Q8—82no—
1255C22⋊Q8#4118yescomplemented
1256#121—28no—
1257#121—24no—
1258#121—28no—
1259#121—28no—
1260#121—44no—
1261#121—82no—
1262#121—82no—
1263#121—82no—
1264#121—82no—
1265#121—81no—
1266C4×Q8—24no—
1267C4×Q8—28no—
1268C4×Q8—28no—
1269C4×Q8—28no—
1270C4×Q8—44no—
1271C4×Q8—81no—
1272C4×Q8—81no—
1273C4×Q8—81no—
1274C4×Q8—81no—
1275C4×Q8—81no—
1276C4×Q8—81no—
1277C4×Q8—82no—
1278C4×Q8—81no—
1279C4×Q8—82no—
1280C4×Q8#4118yescomplemented
1281C4×D4—28no—
1282C4×D4—24no—
1283C4×D4—24no—
1284C4×D4—28no—
1285C4×D4—24no—
1286C4×D4—28no—
1287C4×D4—44no—
1288C4×D4—42no—
1289C4×D4—81no—
1290C4×D4—82no—
1291C4×D4—82no—
1292C4×D4—81no—
1293C4×D4—82no—
1294C4×D4—82no—
1295#117—28no—
1296#117—28no—
1297#117—28no—
1298#117—42no—
1299#117—44no—
1300#117—81no—
1301#117—82no—
1302#117—82no—
1303#117—81no—
1304#117—81no—
1305C2×C4⋊C4—28no—
1306C2×C4⋊C4—81no—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2411yescharacteristic
1387C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1398C2×C22⋊C4C2411yescharacteristic
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2411yescharacteristic
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C42—44no—
1474C2×C42—81no—
1475C2×C42—81no—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2411yescharacteristic
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2411yescharacteristic
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2412yes—
1516C2×C42C2411yescharacteristic
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2411yescharacteristic
1521C2×C42C2412yes—
1522C2×C42C2411yescharacteristic
1523C2×C42C2412yes—
1524#95C2412yes—
1525#95C2411yescharacteristic
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2411yescharacteristic
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#95C2411yescharacteristic
1573#95C2412yes—
1574#95C2411yescharacteristic
1575#95C2411yescharacteristic
1576#95C2411yescharacteristic
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622C24C2512yes—
1623C24C2512yes—
1624C24C2512yes—
1625C24C2511yescharacteristic
1626C24C2511yescharacteristic
1627#41—88no—
1628#41—88no—
1629#41—88no—
1630#41—88no—
1631C2×Q8—24no—
1632C2×Q8—24no—
1633C2×Q8—22no—
1634C2×Q8—22no—
1635C2×Q8—24no—
1636C2×Q8—24no—
1637C2×Q8—24no—
1638C2×Q8—42no—
1639C2×Q8—41no—
1640C2×Q8—41no—
1641C2×Q8—41no—
1642C2×Q8—41no—
1643C2×Q8—41no—
1644C2×Q8—41no—
1645C2×Q8—41no—
1646C2×Q8—41no—
1647C2×Q8—41no—
1648C2×Q8—41no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—42no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—42no—
1658C2×Q8—88no—
1659C2×Q8C2×#4114yes—
1660C2×Q8C2×#4114yes—
1661C2×Q82−1+414yes—
1662C2×D4—22no—
1663C2×D4—24no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—22no—
1667C2×D4—24no—
1668C2×D4—22no—
1669C2×D4—22no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—24no—
1674C2×D4—24no—
1675C2×D4—24no—
1676C2×D4—22no—
1677C2×D4—42no—
1678C2×D4—41no—
1679C2×D4—41no—
1680C2×D4—41no—
1681C2×D4—41no—
1682C2×D4—41no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—41no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—41no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C22×C4—24no—
1711C22×C4—24no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—22no—
1715C22×C4—22no—
1716C22×C4—22no—
1717C22×C4—24no—
1718C22×C4—22no—
1719C22×C4—24no—
1720C22×C4—22no—
1721C22×C4—24no—
1722C22×C4—24no—
1723C22×C4—24no—
1724C22×C4—24no—
1725C22×C4—24no—
1726C22×C4—22no—
1727C22×C4—42no—
1728C22×C4—41no—
1729C22×C4—41no—
1730C22×C4—41no—
1731C22×C4—41no—
1732C22×C4—41no—
1733C22×C4—41no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—41no—
1737C22×C4—41no—
1738C22×C4—41no—
1739C22×C4—42no—
1740C22×C4—41no—
1741C22×C4—42no—
1742C22×C4—41no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4C2×#4114yes—
1761C22×C4C2511yescharacteristic
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2511yescharacteristic
1765C22×C4C2511yescharacteristic
1766C22×C4C2512yes—
1767C22×C4C2511yescharacteristic
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2511yescharacteristic
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2511yescharacteristic
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2511yescharacteristic
1789C22×C4C2511yescharacteristic
1790C22×C4C2511yescharacteristic
1791C22×C4C2511yescharacteristic
1792C22×C4C2512yes—
1793C22×C4C2511yescharacteristic
1794C22×C4C2511yescharacteristic
1795C4⋊C4—22no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—22no—
1819C4⋊C4—22no—
1820C4⋊C4—24no—
1821C4⋊C4—22no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—41no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—42no—
1830C4⋊C4—41no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
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—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—41no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—41no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4C2×#4118yes—
1873C4⋊C4C2×#4118yes—
1874C4⋊C4C2×#4114yes—
1875C4⋊C4C2×#4114yes—
1876C22⋊C4—22no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—22no—
1886C22⋊C4—22no—
1887C22⋊C4—24no—
1888C22⋊C4—22no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—22no—
1913C22⋊C4—24no—
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—41no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4C2×#4118yes—
1961C42—24no—
1962C42—24no—
1963C42—24no—
1964C42—24no—
1965C42—22no—
1966C42—24no—
1967C42—24no—
1968C42—24no—
1969C42—24no—
1970C42—24no—
1971C42—22no—
1972C42—24no—
1973C42—24no—
1974C42—24no—
1975C42—24no—
1976C42—42no—
1977C42—42no—
1978C42—41no—
1979C42—41no—
1980C42—41no—
1981C42—41no—
1982C42—41no—
1983C42—41no—
1984C42—41no—
1985C42—42no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—41no—
1993C42—42no—
1994C42—41no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—41no—
1999C42—42no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42C2×#4114yes—
2008C42C2×#4118yes—
2009C23—21no—
2010C23—21no—
2011C23—21no—
2012C23—21no—
2013C23—21no—
2014C23—21no—
2015C23—22no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—21no—
2020C23—21no—
2021C23—22no—
2022C23—22no—
2023C23—22no—
2024C23—22no—
2025C23—22no—
2026C23—21no—
2027C23—22no—
2028C23—22no—
2029C23—21no—
2030C23—22no—
2031C23—21no—
2032C23—21no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—22no—
2042C23—21no—
2043C23C22×#4112yes—
2044C23C2611yescharacteristic
2045Q8—44no—
2046Q8—44no—
2047Q8—44no—
2048Q8—48no—
2049Q8—44no—
2050Q8—44no—
2051Q8—84no—
2052Q8—84no—
2053Q8—84no—
2054Q8—84no—
2055D4—44no—
2056D4—48no—
2057D4—44no—
2058D4—44no—
2059D4—84no—
2060D4—84no—
2061D4—84no—
2062D4—84no—
2063D4—84no—
2064D4—82no—
2065D4—84no—
2066D4—84no—
2067D4—84no—
2068D4—84no—
2069D4—162no—
2070D4—162no—
2071C2×C4—22no—
2072C2×C4—21no—
2073C2×C4—22no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—21no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—21no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—21no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—21no—
2122C2×C4—21no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—21no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—21no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—21no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—21no—
2140C2×C4—21no—
2141C2×C4—21no—
2142C2×C4—22no—
2143C2×C4—21no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—21no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—21no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—44no—
2162C2×C4—48no—
2163C2×C4—48no—
2164C2×C4—44no—
2165C2×C4—48no—
2166C2×C4—44no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—84no—
2170C2×C4—82no—
2171C2×C4—84no—
2172C2×C4—84no—
2173C2×C4—84no—
2174C2×C4—84no—
2175C2×C4—84no—
2176C2×C4—162no—
2177C2×C4—162no—
2178C2×C4C22×#4112yes—
2179C2×C4C22×#4114yes—
2180C2×C4C22×#4112yes—
2181C2×C4C22×#4114yes—
2182C2×C4C22×#4114yes—
2183C2×C4C22×#4114yes—
2184C2×C4C22×#4112yes—
2185C2×C4C22×#4112yes—
2186C2×C4C22×#4112yes—
2187C2×C4C2×2−1+414yes—
2188C2×C4C2×2−1+412yes—
2189C2×C4#58512yes—
2190C22—22no—
2191C22—22no—
2192C22—22no—
2193C22—41no—
2194C22—41no—
2195C22—41no—
2196C22—41no—
2197C22—42no—
2198C22—42no—
2199C22—42no—
2200C22—41no—
2201C22—42no—
2202C22—42no—
2203C22—41no—
2204C22—42no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22—41no—
2209C22—41no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—41no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—41no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22—41no—
2225C22C23×#4111yescharacteristic
2226C22C23×#4111yescharacteristic
2227C22C22×2−1+411yescharacteristic
2228C22C2×#58511yescharacteristic
2229C22H(7,𝔽2)11yescharacteristic
2230C22H(7,𝔽2)11yescharacteristic
2231C22H(7,𝔽2)11yescharacteristic
2232C4—22no—
2233C4—22no—
2234C4—22no—
2235C4—24no—
2236C4—22no—
2237C4—24no—
2238C4—22no—
2239C4—22no—
2240C4—24no—
2241C4—22no—
2242C4—24no—
2243C4—24no—
2244C4—42no—
2245C4—42no—
2246C4—42no—
2247C4—41no—
2248C4—42no—
2249C4—42no—
2250C4—42no—
2251C4—41no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—41no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—41no—
2260C4—41no—
2261C4—42no—
2262C4—42no—
2263C4—42no—
2264C4—41no—
2265C4—42no—
2266C2—42no—
2267C2—82no—
2268C2—82no—
2269C2—82no—
2270C2—81no—
2271C2#41211yescharacteristic
2272C2#6284611yescharacteristic
2273C2#6285511yescharacteristic
2274C2#6290311yescharacteristic
2275C2#6299911yescharacteristic
2276C2#6299911yescharacteristic
2277C2#6305111yescharacteristic
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. #60048C2semidirect
2. #59929C2semidirect
3. #59923C2semidirect
4. #59878C2semidirect
5. #59790C2semidirect
6. #59779C2semidirect
7. #52288C2semidirect
8. #52287C2semidirect
9. #52280C2semidirect
10. #44815C2semidirect
11. #44416C2semidirect
12. #44314C2semidirect
13. #44268C2semidirect
14. #44186C2semidirect
15. #44155C2semidirect
16. #44075C2semidirect
17. #44036C2semidirect
18. #43902C2semidirect
19. #40366C2semidirect
20. #39954C2semidirect
21. #39830C2semidirect
22. #39790C2semidirect
23. #39455C2semidirect
24. #38782C2semidirect
25. #38782C2semidirect
26. #38717C2semidirect
27. #38558C2semidirect
28. #38486C2semidirect
29. #38435C2semidirect
30. #38347C2semidirect
31. #36401C2semidirect
32. #36399C2semidirect
33. #35866C2semidirect
34. #35814C2semidirect
35. #35744C2semidirect
36. #34327C2semidirect
37. #34316C2semidirect
38. #34307C2semidirect
39. #34279C2semidirect
1255. C22⋊Q8#41semidirect
1280. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600482
#599292
#599232
#598782
#597902
#597792
#522882
#522872
#522802
#448152
#444162
#443142
#442682
#441862
#441552
#440752
#440362
#439022
#403662
#399542
#398302
#397902
#394552
#387822
#387172
#385582
#384862
#384352
#383472
#364012
#363992
#358662
#358142
#357442
#343272
#343162
#343072
#342792