Finite Group Databasebeta

← #7695517

Subgroups — #7695517

Order 512.

4671 conjugacy classes of subgroups.

The subgroup lattice has 2206 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59998C212yesmaximal, complemented
2#59927C211yesmaximal, characteristic, complemented
3#59923C211yesmaximal, characteristic, complemented
4#59830C211yesmaximal, characteristic, complemented
5#59729C212yesmaximal, complemented
6#59589C212yesmaximal, complemented
7#52306C211yesmaximal, characteristic, complemented
8#52281C211yesmaximal, characteristic, complemented
9#52280C211yesmaximal, characteristic, complemented
10#44458C212yesmaximal, complemented
11#44439C212yesmaximal, complemented
12#44409C212yesmaximal, complemented
13#44289C212yesmaximal, complemented
14#44127C212yesmaximal, complemented
15#44089C212yesmaximal, complemented
16#43993C212yesmaximal, complemented
17#43341C212yesmaximal, complemented
18#43116C212yesmaximal, complemented
19#40240C212yesmaximal, complemented
20#40190C212yesmaximal, complemented
21#39711C211yesmaximal, characteristic, complemented
22#39455C211yesmaximal, characteristic, complemented
23#39219C212yesmaximal, complemented
24#38830C211yesmaximal, characteristic, complemented
25#38771C211yesmaximal, characteristic, complemented
26#38716C212yesmaximal, complemented
27#38591C212yesmaximal, complemented
28#38484C211yesmaximal, characteristic, complemented
29#38467C211yesmaximal, characteristic, complemented
30#38159C212yesmaximal, complemented
31#36568C212yesmaximal, complemented
32#36537C211yesmaximal, characteristic, complemented
33#35917C212yesmaximal, complemented
34#35913C212yesmaximal, complemented
35#35841C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic, complemented
37#34317C212yesmaximal, complemented
38#34314C211yesmaximal, characteristic, complemented
39#34285C212yesmaximal, complemented
40C2×#554C2212yes—
41C2×#552C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#542C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2863C2212yes—
47#2861C2211yescharacteristic
48#2855C2211yescharacteristic
49#2854C2211yescharacteristic
50#2811C2211yescharacteristic
51#2809C2211yescharacteristic
52#2808C2211yescharacteristic
53#2808C2211yescharacteristic
54#2806C2211yescharacteristic
55#2806C2211yescharacteristic
56#2805C2211yescharacteristic
57#2805C2211yescharacteristic
58#2803C2212yes—
59#2800C2212yes—
60#2800C2212yes—
61#2799C2212yes—
62#2798C2212yes—
63#2798C2212yes—
64#2798C2212yes—
65#2788C2212yes—
66#2786C2212yes—
67#2783C2212yes—
68#2783C2212yes—
69#2781C2212yes—
70#2777C2212yes—
71#2777C2212yes—
72#2777C2212yes—
73#2775C2212yes—
74#2775C2212yes—
75#2775C2212yes—
76#2775C2212yes—
77#2775C2212yes—
78#2774C2212yes—
79#2774C2212yes—
80#2773C2212yes—
81#2772C2212yes—
82#2770C2212yes—
83#2770C2212yes—
84#2769C2212yes—
85#2764C2212yes—
86#2758C2212yes—
87#2756C2212yes—
88#2749C2212yes—
89#2737C2212yes—
90#2734C2211yescharacteristic
91#2734C2211yescharacteristic
92#2733C2211yescharacteristic
93#2732C2211yescharacteristic
94#2731C2212yes—
95#2730C2212yes—
96#2730C2212yes—
97#2730C2212yes—
98#2729C2212yes—
99#2727C2211yescharacteristic
100#2727C2211yescharacteristic
101#2726C2211yescharacteristic
102#2723C2212yes—
103#2721C2212yes—
104#2721C2212yes—
105#2715C2212yes—
106#2715C2212yes—
107#2714C2212yes—
108#2711C2212yes—
109#2700C2212yes—
110#2700C2212yes—
111#2695C2212yes—
112#2691C2212yes—
113#2690C2212yes—
114#2689C2212yes—
115#2683C2211yescharacteristic
116#2681C2212yes—
117#2676C2212yes—
118#2674C2212yes—
119#2672C2212yes—
120#2665C2212yes—
121#2663C2212yes—
122#2654C2212yes—
123#2652C2212yes—
124#2652C2212yes—
125#2650C2212yes—
126#2650C2212yes—
127#2650C2212yes—
128#2630C2212yes—
129#2612C2212yes—
130#2610C2212yes—
131#2605C2212yes—
132#2602C2212yes—
133#2602C2212yes—
134#2601C2212yes—
135#2600C2212yes—
136#2597C2212yes—
137#2597C2212yes—
138#2597C2212yes—
139#2596C2212yes—
140#2596C2212yes—
141#2595C2212yes—
142#2590C2212yes—
143#2589C2212yes—
144#2588C2212yes—
145#2588C2212yes—
146#2588C2212yes—
147#2588C2212yes—
148#2588C2212yes—
149#2588C2212yes—
150#2587C2212yes—
151#2587C2212yes—
152#2587C2212yes—
153#2586C2212yes—
154#2586C2212yes—
155#2586C2212yes—
156#2586C2212yes—
157#2586C2212yes—
158#2586C2212yes—
159#2585C2212yes—
160#2585C2212yes—
161#2583C2212yes—
162#2581C2212yes—
163#2579C2212yes—
164#2577C2212yes—
165#2575C2212yes—
166#2575C2212yes—
167#2575C2212yes—
168#2574C2212yes—
169#2573C2212yes—
170#2569C2212yes—
171#2568C2212yes—
172#2562C2211yescharacteristic
173#2560C2212yes—
174#2560C2212yes—
175#2558C2212yes—
176#2557C2212yes—
177#2557C2212yes—
178#2557C2212yes—
179#2557C2212yes—
180#2556C2212yes—
181#2556C2212yes—
182#2556C2212yes—
183#2556C2212yes—
184#2556C2212yes—
185#2555C2212yes—
186#2549C2212yes—
187#2549C2212yes—
188#2549C2212yes—
189#2545C2212yes—
190#2540C2211yescharacteristic
191#2533C2212yes—
192#2532C2212yes—
193#2532C2212yes—
194#2531C2212yes—
195#2525C2212yes—
196#2525C2212yes—
197#2525C2212yes—
198#2524C2212yes—
199#2523C2212yes—
200#2523C2212yes—
201#2521C2212yes—
202#2521C2212yes—
203#2521C2212yes—
204#2520C2212yes—
205#2518C2212yes—
206#2517C2212yes—
207#2516C2212yes—
208#2513C2212yes—
209#2509C2212yes—
210#2499C2212yes—
211#2498C2212yes—
212#2498C2212yes—
213#2496C2212yes—
214#2490C2211yescharacteristic
215#2489C2211yescharacteristic
216#2488C2212yes—
217#2481C2212yes—
218#2481C2212yes—
219#2479C2212yes—
220#2478C2212yes—
221#2477C2212yes—
222#2477C2212yes—
223#2477C2212yes—
224#2477C2212yes—
225#2477C2212yes—
226#2475C2212yes—
227#2474C2212yes—
228#2474C2212yes—
229#2471C2212yes—
230#2471C2212yes—
231#2471C2212yes—
232#2470C2212yes—
233#2470C2212yes—
234#2470C2212yes—
235#2465C2212yes—
236#2465C2212yes—
237#2465C2212yes—
238#2465C2212yes—
239#2465C2212yes—
240#2464C2212yes—
241#2463C2212yes—
242#2462C2212yes—
243#2462C2212yes—
244#2462C2212yes—
245#2462C2212yes—
246#2461C2212yes—
247#2461C2212yes—
248#2461C2212yes—
249#2460C2212yes—
250#2459C2212yes—
251#2456C2212yes—
252#2452C2212yes—
253#2451C2212yes—
254#2451C2212yes—
255#2449C2212yes—
256#2449C2212yes—
257#2449C2212yes—
258#2449C2212yes—
259#2448C2212yes—
260#2448C2212yes—
261#2447C2212yes—
262#2447C2212yes—
263#2446C2212yes—
264#2444C2212yes—
265#2434C2212yes—
266#2429C2212yes—
267#2429C2212yes—
268#2421C2212yes—
269#2421C2211yescharacteristic
270#2420C2211yescharacteristic
271#2415C2212yes—
272#2415C2212yes—
273#2413C2212yes—
274#2409C2212yes—
275#2406C2212yes—
276#2396C2212yes—
277#2396C2212yes—
278#2396C2212yes—
279#2395C2212yes—
280#2395C2212yes—
281#2395C2212yes—
282#2395C2212yes—
283#2392C2212yes—
284#2388C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2373C2212yes—
288#2372C2212yes—
289#2371C2212yes—
290#2370C2212yes—
291#2370C2212yes—
292#2370C2211yescharacteristic
293#2370C2212yes—
294#2370C2211yescharacteristic
295#2369C2212yes—
296#2369C2212yes—
297#2368C2212yes—
298#2368C2212yes—
299#2368C2212yes—
300#2368C2212yes—
301#2368C2212yes—
302#2367C2212yes—
303#2367C2211yescharacteristic
304#2367C2211yescharacteristic
305#2367C2212yes—
306#2365C2212yes—
307#2364C2212yes—
308#2364C2212yes—
309#2363C2212yes—
310#2362C2212yes—
311#2362C2211yescharacteristic
312#2362C2211yescharacteristic
313#2362C2212yes—
314#2362C2212yes—
315#2362C2212yes—
316#2362C2212yes—
317#2362C2212yes—
318#2362C2212yes—
319#2361C2211yescharacteristic
320#2361C2212yes—
321#2360C2211yescharacteristic
322#2360C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2357C2212yes—
328#2357C2212yes—
329#2356C2211yescharacteristic
330#2355C2212yes—
331#2354C2212yes—
332#2353C2212yes—
333#2352C2211yescharacteristic
334#2352C2211yescharacteristic
335#2351C2211yescharacteristic
336#2347C2211yescharacteristic
337#2344C2211yescharacteristic
338#2344C2212yes—
339#2344C2212yes—
340#2343C2212yes—
341Q8×C22⋊C4C2211yescharacteristic
342#2339C2211yescharacteristic
343#2337C2212yes—
344#2337C2212yes—
345#2337C2212yes—
346#2336C2212yes—
347#2334C2212yes—
348#2334C2212yes—
349#2334C2212yes—
350#2332C2212yes—
351#2332C2212yes—
352#2332C2212yes—
353#2332C2212yes—
354#2332C2212yes—
355#2325C2212yes—
356#2323C2212yes—
357#2323C2212yes—
358#2322C2212yes—
359#2320C2212yes—
360C4×C4⋊Q8C2212yes—
361C4×#125C2211yescharacteristic
362C4×#125C2212yes—
363C4×#125C2212yes—
364C4×#125C2211yescharacteristic
365C4×#126C2212yes—
366C4×#126C2212yes—
367C4×#126C2212yes—
368C4×#126C2212yes—
369C4×#126C2212yes—
370C4×#124C2211yescharacteristic
371C4×#124C2212yes—
372C4×#124C2212yes—
373C4×C22⋊Q8C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×C22⋊Q8C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C4×#121C2211yescharacteristic
379#2298C2212yes—
380#2297C2211yescharacteristic
381#2296C2211yescharacteristic
382#2295C2211yescharacteristic
383#2295C2211yescharacteristic
384C2×#391C2211yescharacteristic
385#2293C2212yes—
386#2293C2212yes—
387#2293C2212yes—
388#2293C2212yes—
389C2×#389C2211yescharacteristic
390#2275C2212yes—
391#2274C2212yes—
392#2274C2212yes—
393C42×Q8C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397#554—216no—
398#552—28no—
399#548—28no—
400#542—216no—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#125C2311yescharacteristic
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2311yescharacteristic
413C2×#125C2312yes—
414C2×#125C2311yescharacteristic
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2311yescharacteristic
420C2×#124C2311yescharacteristic
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2311yescharacteristic
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2311yescharacteristic
446C2×C22⋊Q8C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2311yescharacteristic
496C22×C42C2311yescharacteristic
497C22×C42C2311yescharacteristic
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#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
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#398C2312yes—
552#398C2312yes—
553#398C2312yes—
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#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
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#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2311yescharacteristic
670#391C2311yescharacteristic
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2311yescharacteristic
689#391C2312yes—
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2311yescharacteristic
703#390C2312yes—
704#390C2312yes—
705#390C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2311yescharacteristic
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2311yescharacteristic
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2311yescharacteristic
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2311yescharacteristic
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2311yescharacteristic
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2312yes—
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
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#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
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#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
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#384C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2312yes—
1008#382C2311yescharacteristic
1009#382C2312yes—
1010#382C2311yescharacteristic
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2311yescharacteristic
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#380C2311yescharacteristic
1023#380C2311yescharacteristic
1024#380C2311yescharacteristic
1025#380C2311yescharacteristic
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2311yescharacteristic
1031#380C2312yes—
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035C4×C4⋊C4C2311yescharacteristic
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2311yescharacteristic
1038C4×C4⋊C4C2311yescharacteristic
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2311yescharacteristic
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2311yescharacteristic
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2312yes—
1144C43C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—81no—
1148C2×#41—81no—
1149C22×Q8—24no—
1150C22×Q8—81no—
1151C22×Q8—81no—
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2411yescharacteristic
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2411yescharacteristic
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2411yescharacteristic
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2411yescharacteristic
1182C23×C4C2411yescharacteristic
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2411yescharacteristic
1186C4⋊Q8—28no—
1187C4⋊Q8—28no—
1188C4⋊Q8—82no—
1189#126—28no—
1190#126—28no—
1191#126—28no—
1192#126—28no—
1193#126—82no—
1194#125—28no—
1195#125—24no—
1196#125—28no—
1197#125—28no—
1198#125—24no—
1199#125—42no—
1200#124—28no—
1201#124—24no—
1202#124—28no—
1203#124—28no—
1204#124—28no—
1205#124—42no—
1206#124—82no—
1207#124—82no—
1208#123—28no—
1209#123—28no—
1210#123—28no—
1211#123—44no—
1212#123—82no—
1213#123—82no—
1214C22⋊Q8—24no—
1215C22⋊Q8—28no—
1216C22⋊Q8—28no—
1217C22⋊Q8—28no—
1218C22⋊Q8—28no—
1219C22⋊Q8—28no—
1220C22⋊Q8—28no—
1221C22⋊Q8—24no—
1222C22⋊Q8—28no—
1223C22⋊Q8—28no—
1224C22⋊Q8—44no—
1225C22⋊Q8—82no—
1226C22⋊Q8—82no—
1227C22⋊Q8—82no—
1228C22⋊Q8—82no—
1229C22⋊Q8—81no—
1230C22⋊Q8#4118yes—
1231C22⋊Q8#4118yescomplemented
1232#121—24no—
1233#121—24no—
1234#121—28no—
1235#121—28no—
1236#121—81no—
1237C4×Q8—24no—
1238C4×Q8—28no—
1239C4×Q8—24no—
1240C4×Q8—28no—
1241C4×Q8—44no—
1242C4×Q8—81no—
1243C4×Q8—81no—
1244C4×Q8—81no—
1245C4×Q8—81no—
1246C4×Q8—82no—
1247C4×Q8—81no—
1248C4×Q8—82no—
1249C4×D4—28no—
1250C4×D4—24no—
1251C4×D4—24no—
1252C4×D4—28no—
1253C4×D4—28no—
1254C4×D4—28no—
1255C4×D4—28no—
1256C4×D4—42no—
1257C4×D4—44no—
1258C4×D4—81no—
1259C4×D4—81no—
1260C4×D4—82no—
1261C4×D4—82no—
1262C4×D4—82no—
1263C4×D4—81no—
1264#117—24no—
1265#117—28no—
1266#117—28no—
1267#117—44no—
1268#117—44no—
1269#117—81no—
1270#117—81no—
1271#117—82no—
1272#117—82no—
1273#117—82no—
1274#117—82no—
1275#117—82no—
1276C2×C4⋊C4—28no—
1277C2×C4⋊C4—24no—
1278C2×C4⋊C4—28no—
1279C2×C4⋊C4—81no—
1280C2×C4⋊C4—81no—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2411yescharacteristic
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2411yescharacteristic
1381C2×C22⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2411yescharacteristic
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C42—81no—
1442C2×C42—81no—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2411yescharacteristic
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2411yescharacteristic
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
1491C2×C42C2412yes—
1492#95C2412yes—
1493#95C2411yescharacteristic
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#95C2411yescharacteristic
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2411yescharacteristic
1518#95C2412yes—
1519#95C2411yescharacteristic
1520#95C2411yescharacteristic
1521#95C2411yescharacteristic
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604C24C2512yes—
1605C24C2512yes—
1606C24C2511yescharacteristic
1607C24C2511yescharacteristic
1608#41—88no—
1609C2×Q8—24no—
1610C2×Q8—24no—
1611C2×Q8—22no—
1612C2×Q8—24no—
1613C2×Q8—24no—
1614C2×Q8—24no—
1615C2×Q8—22no—
1616C2×Q8—42no—
1617C2×Q8—41no—
1618C2×Q8—41no—
1619C2×Q8—41no—
1620C2×Q8—41no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—41no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—88no—
1635C2×Q8C2×#4114yes—
1636C2×Q8C2×#4114yes—
1637C2×D4—24no—
1638C2×D4—22no—
1639C2×D4—24no—
1640C2×D4—22no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—22no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—22no—
1648C2×D4—42no—
1649C2×D4—41no—
1650C2×D4—41no—
1651C2×D4—41no—
1652C2×D4—42no—
1653C2×D4—41no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—41no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—24no—
1668C22×C4—22no—
1669C22×C4—24no—
1670C22×C4—22no—
1671C22×C4—24no—
1672C22×C4—24no—
1673C22×C4—24no—
1674C22×C4—24no—
1675C22×C4—24no—
1676C22×C4—22no—
1677C22×C4—22no—
1678C22×C4—24no—
1679C22×C4—41no—
1680C22×C4—41no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—41no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4—41no—
1688C22×C4—41no—
1689C22×C4—41no—
1690C22×C4—41no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
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×C4C2×#4114yes—
1711C22×C4C2×#4114yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2511yescharacteristic
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2511yescharacteristic
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2511yescharacteristic
1730C22×C4C2512yes—
1731C22×C4C2511yescharacteristic
1732C22×C4C2511yescharacteristic
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2511yescharacteristic
1737C22×C4C2511yescharacteristic
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2511yescharacteristic
1742C22×C4C2512yes—
1743C22×C4C2511yescharacteristic
1744C22×C4C2511yescharacteristic
1745C22×C4C2512yes—
1746C22×C4C2511yescharacteristic
1747C4⋊C4—24no—
1748C4⋊C4—22no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—22no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—22no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—22no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—22no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—41no—
1787C4⋊C4—41no—
1788C4⋊C4—41no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—41no—
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—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—41no—
1813C4⋊C4—41no—
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—
1823C4⋊C4—42no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4C2×#4118yes—
1835C4⋊C4C2×#4114yes—
1836C4⋊C4C2×#4118yes—
1837C4⋊C4C2×#4114yes—
1838C4⋊C42−1+414yes—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—22no—
1842C22⋊C4—24no—
1843C22⋊C4—22no—
1844C22⋊C4—24no—
1845C22⋊C4—22no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—22no—
1850C22⋊C4—24no—
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—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—22no—
1868C22⋊C4—24no—
1869C22⋊C4—22no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4C2×#4118yes—
1906C22⋊C4C2×#4118yes—
1907C42—24no—
1908C42—24no—
1909C42—24no—
1910C42—24no—
1911C42—22no—
1912C42—24no—
1913C42—24no—
1914C42—24no—
1915C42—22no—
1916C42—24no—
1917C42—24no—
1918C42—24no—
1919C42—22no—
1920C42—24no—
1921C42—24no—
1922C42—22no—
1923C42—41no—
1924C42—41no—
1925C42—41no—
1926C42—41no—
1927C42—41no—
1928C42—41no—
1929C42—41no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—41no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42—42no—
1944C42—42no—
1945C42—42no—
1946C42—42no—
1947C42—41no—
1948C42—42no—
1949C42—42no—
1950C42—42no—
1951C42—42no—
1952C42—42no—
1953C42—42no—
1954C42—42no—
1955C42—42no—
1956C23—21no—
1957C23—21no—
1958C23—21no—
1959C23—21no—
1960C23—21no—
1961C23—21no—
1962C23—21no—
1963C23—21no—
1964C23—21no—
1965C23—21no—
1966C23—21no—
1967C23—21no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23C22×#4112yes—
1983C23C22×#4112yes—
1984C23C2611yescharacteristic
1985Q8—44no—
1986Q8—44no—
1987Q8—48no—
1988Q8—44no—
1989Q8—84no—
1990Q8—84no—
1991Q8—82no—
1992Q8—84no—
1993Q8—162no—
1994D4—48no—
1995D4—48no—
1996D4—44no—
1997D4—44no—
1998D4—84no—
1999D4—82no—
2000D4—84no—
2001D4—84no—
2002D4—84no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—21no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—22no—
2025C2×C4—21no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—21no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—21no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—21no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—21no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—44no—
2098C2×C4—44no—
2099C2×C4—48no—
2100C2×C4—48no—
2101C2×C4—44no—
2102C2×C4—44no—
2103C2×C4—84no—
2104C2×C4—84no—
2105C2×C4—84no—
2106C2×C4—84no—
2107C2×C4—82no—
2108C2×C4—82no—
2109C2×C4—84no—
2110C2×C4—84no—
2111C2×C4—84no—
2112C2×C4—162no—
2113C2×C4C22×#4112yes—
2114C2×C4C22×#4114yes—
2115C2×C4C22×#4114yes—
2116C2×C4C22×#4112yes—
2117C2×C4C22×#4112yes—
2118C2×C4C22×#4114yes—
2119C2×C4C22×#4114yes—
2120C2×C4C22×#4112yes—
2121C2×C4C2×2−1+414yes—
2122C2×C4C2×2−1+412yes—
2123C2×C4#58512yes—
2124C22—22no—
2125C22—22no—
2126C22—22no—
2127C22—22no—
2128C22—22no—
2129C22—22no—
2130C22—41no—
2131C22—41no—
2132C22—41no—
2133C22—41no—
2134C22—41no—
2135C22—41no—
2136C22—41no—
2137C22—41no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22C23×#4111yescharacteristic
2153C22C23×#4111yescharacteristic
2154C22C22×2−1+411yescharacteristic
2155C22C2×#58511yescharacteristic
2156C22H(7,𝔽2)11yescharacteristic
2157C22H(7,𝔽2)11yescharacteristic
2158C222−1+611yescharacteristic
2159C4—24no—
2160C4—22no—
2161C4—22no—
2162C4—22no—
2163C4—24no—
2164C4—22no—
2165C4—22no—
2166C4—24no—
2167C4—22no—
2168C4—24no—
2169C4—24no—
2170C4—41no—
2171C4—42no—
2172C4—41no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—41no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—41no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—41no—
2189C4—41no—
2190C4—42no—
2191C4—42no—
2192C4—41no—
2193C4—42no—
2194C2—42no—
2195C2—42no—
2196C2—82no—
2197C2—82no—
2198C2#41211yescharacteristic
2199C2#6284611yescharacteristic
2200C2#6284711yescharacteristic
2201C2#6296211yescharacteristic
2202C2#6299811yescharacteristic
2203C2#6299911yescharacteristic
2204C2#6305911yescharacteristic
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. #59998C2semidirect
2. #59927C2semidirect
3. #59923C2semidirect
4. #59830C2semidirect
5. #59729C2semidirect
6. #59589C2semidirect
7. #52306C2semidirect
8. #52281C2semidirect
9. #52280C2semidirect
10. #44458C2semidirect
11. #44439C2semidirect
12. #44409C2semidirect
13. #44289C2semidirect
14. #44127C2semidirect
15. #44089C2semidirect
16. #43993C2semidirect
17. #43341C2semidirect
18. #43116C2semidirect
19. #40240C2semidirect
20. #40190C2semidirect
21. #39711C2semidirect
22. #39455C2semidirect
23. #39219C2semidirect
24. #38830C2semidirect
25. #38771C2semidirect
26. #38716C2semidirect
27. #38591C2semidirect
28. #38484C2semidirect
29. #38467C2semidirect
30. #38159C2semidirect
31. #36568C2semidirect
32. #36537C2semidirect
33. #35917C2semidirect
34. #35913C2semidirect
35. #35841C2semidirect
36. #34327C2semidirect
37. #34317C2semidirect
38. #34314C2semidirect
39. #34285C2semidirect
1231. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599982
#599272
#599232
#598302
#597292
#595892
#523062
#522812
#522802
#444582
#444392
#444092
#442892
#441272
#440892
#439932
#433412
#431162
#402402
#401902
#397112
#394552
#392192
#388302
#387712
#387162
#385912
#384842
#384672
#381592
#365682
#365372
#359172
#359132
#358412
#343272
#343172
#343142
#342852