Finite Group Databasebeta

← #7900905

Subgroups — #7900905

Order 512.

4271 conjugacy classes of subgroups.

The subgroup lattice has 2154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59886C211yesmaximal, characteristic, complemented
2#59462C212yesmaximal, complemented
3#52290C211yesmaximal, characteristic, complemented
4#52082C212yesmaximal, complemented
5#51596C212yesmaximal, complemented
6#51222C212yesmaximal, complemented
7#51220C212yesmaximal, complemented
8#48844C212yesmaximal, complemented
9#47973C212yesmaximal, complemented
10#47725C212yesmaximal, complemented
11#46844C212yesmaximal, complemented
12#46283C211yesmaximal, characteristic, complemented
13#45793C211yesmaximal, characteristic, complemented
14#45213C212yesmaximal, complemented
15#44745C212yesmaximal, complemented
16#44233C212yesmaximal, complemented
17#43567C212yesmaximal, complemented
18#43128C212yesmaximal, complemented
19#42188C212yesmaximal, complemented
20#42008C212yesmaximal, complemented
21#40630C212yesmaximal, complemented
22#40620C212yesmaximal, complemented
23#39970C212yesmaximal, complemented
24#39970C212yesmaximal, complemented
25#39708C211yesmaximal, characteristic, complemented
26#39700C212yesmaximal, complemented
27#39632C211yesmaximal, characteristic, complemented
28#39629C211yesmaximal, characteristic, complemented
29#38453C211yesmaximal, characteristic, complemented
30#38446C211yesmaximal, characteristic, complemented
31#38446C211yesmaximal, characteristic, complemented
32#37308C211yesmaximal, characteristic, complemented
33#37136C211yesmaximal, characteristic, complemented
34#36277C211yesmaximal, characteristic, complemented
35#36035C212yesmaximal, complemented
36#35577C212yesmaximal, complemented
37#35016C211yesmaximal, characteristic, complemented
38#34503C212yesmaximal
39#34321C211yesmaximal, characteristic
40C2×#555C2211yescharacteristic
41#2863C2211yescharacteristic
42#2863C2212yes—
43#2863C2211yescharacteristic
44#2862C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2211yescharacteristic
48#2855C2211yescharacteristic
49#2843C2212yes—
50#2843C2212yes—
51#2841C2212yes—
52#2841C2212yes—
53#2811C2212yes—
54#2809C2212yes—
55#2806C2211yescharacteristic
56#2806C2212yes—
57#2806C2212yes—
58#2806C2211yescharacteristic
59#2806C2211yescharacteristic
60#2806C2211yescharacteristic
61#2805C2211yescharacteristic
62#2805C2212yes—
63#2805C2212yes—
64#2805C2211yescharacteristic
65#2805C2211yescharacteristic
66#2805C2211yescharacteristic
67#2804C2211yescharacteristic
68#2804C2211yescharacteristic
69#2804C2212yes—
70#2804C2212yes—
71#2802C2212yes—
72#2799C2212yes—
73#2799C2212yes—
74#2799C2212yes—
75#2791C2212yes—
76#2790C2212yes—
77#2790C2212yes—
78#2788C2212yes—
79#2788C2212yes—
80#2788C2212yes—
81#2788C2212yes—
82#2788C2212yes—
83#2788C2212yes—
84#2788C2212yes—
85#2788C2212yes—
86#2784C2212yes—
87#2784C2212yes—
88#2784C2212yes—
89#2780C2212yes—
90#2780C2212yes—
91#2774C2212yes—
92#2774C2212yes—
93#2774C2212yes—
94#2768C2212yes—
95#2768C2212yes—
96#2768C2212yes—
97#2768C2212yes—
98#2763C2212yes—
99#2763C2212yes—
100#2763C2212yes—
101#2763C2212yes—
102#2755C2212yes—
103#2755C2212yes—
104#2755C2212yes—
105#2755C2212yes—
106#2748C2212yes—
107#2748C2212yes—
108#2742C2212yes—
109#2742C2212yes—
110#2742C2212yes—
111#2742C2212yes—
112#2742C2212yes—
113#2734C2211yescharacteristic
114#2734C2212yes—
115#2734C2211yescharacteristic
116#2734C2211yescharacteristic
117#2734C2212yes—
118#2732C2211yescharacteristic
119#2732C2212yes—
120#2729C2212yes—
121#2729C2212yes—
122#2729C2212yes—
123#2729C2212yes—
124#2729C2212yes—
125#2726C2211yescharacteristic
126#2720C2212yes—
127#2720C2212yes—
128#2720C2212yes—
129#2713C2212yes—
130#2713C2212yes—
131#2713C2212yes—
132#2713C2212yes—
133#2704C2212yes—
134#2692C2212yes—
135#2692C2212yes—
136#2692C2212yes—
137#2692C2212yes—
138#2692C2212yes—
139#2692C2212yes—
140#2692C2212yes—
141#2683C2212yes—
142#2683C2211yescharacteristic
143#2677C2212yes—
144#2677C2212yes—
145#2677C2212yes—
146#2677C2212yes—
147#2666C2212yes—
148#2666C2212yes—
149#2666C2212yes—
150#2666C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2665C2212yes—
156#2665C2212yes—
157#2665C2212yes—
158#2665C2212yes—
159#2659C2212yes—
160#2647C2212yes—
161#2646C2212yes—
162#2628C2212yes—
163#2627C2212yes—
164#2607C2212yes—
165#2607C2212yes—
166#2605C2212yes—
167#2605C2212yes—
168#2605C2212yes—
169#2605C2212yes—
170#2605C2212yes—
171#2605C2212yes—
172#2605C2212yes—
173#2605C2212yes—
174#2590C2212yes—
175#2589C2212yes—
176#2589C2212yes—
177#2589C2212yes—
178#2589C2212yes—
179#2589C2212yes—
180#2589C2212yes—
181#2588C2212yes—
182#2588C2212yes—
183#2588C2212yes—
184#2588C2212yes—
185#2588C2212yes—
186#2587C2212yes—
187#2587C2212yes—
188#2587C2212yes—
189#2587C2212yes—
190#2586C2212yes—
191#2586C2212yes—
192#2586C2212yes—
193#2586C2212yes—
194#2585C2212yes—
195#2585C2212yes—
196#2581C2212yes—
197#2579C2212yes—
198#2574C2212yes—
199#2574C2212yes—
200#2574C2212yes—
201#2574C2212yes—
202#2574C2212yes—
203#2574C2212yes—
204#2574C2212yes—
205#2574C2212yes—
206#2571C2212yes—
207#2570C2212yes—
208#2570C2212yes—
209#2570C2212yes—
210#2570C2212yes—
211#2569C2212yes—
212#2569C2212yes—
213#2569C2212yes—
214#2568C2212yes—
215#2565C2212yes—
216#2564C2212yes—
217#2564C2212yes—
218#2564C2212yes—
219#2564C2212yes—
220#2564C2212yes—
221#2563C2212yes—
222#2563C2212yes—
223#2551C2212yes—
224#2551C2212yes—
225#2550C2212yes—
226#2550C2212yes—
227#2549C2212yes—
228#2549C2212yes—
229#2549C2212yes—
230#2549C2212yes—
231#2549C2212yes—
232#2549C2212yes—
233#2522C2212yes—
234#2522C2212yes—
235#2522C2212yes—
236#2522C2212yes—
237#2520C2212yes—
238#2520C2212yes—
239#2520C2212yes—
240#2520C2212yes—
241#2520C2212yes—
242#2520C2212yes—
243#2520C2212yes—
244#2511C2211yescharacteristic
245#2511C2212yes—
246#2511C2212yes—
247#2511C2211yescharacteristic
248#2505C2212yes—
249#2505C2212yes—
250#2505C2212yes—
251#2505C2212yes—
252#2505C2212yes—
253#2505C2212yes—
254#2502C2212yes—
255#2492C2212yes—
256#2492C2212yes—
257#2492C2212yes—
258#2492C2212yes—
259#2492C2212yes—
260#2492C2211yescharacteristic
261#2492C2212yes—
262#2492C2211yescharacteristic
263#2487C2211yescharacteristic
264#2473C2212yes—
265#2473C2212yes—
266#2473C2212yes—
267#2465C2212yes—
268#2465C2212yes—
269#2465C2212yes—
270#2465C2212yes—
271#2465C2212yes—
272#2454C2212yes—
273#2454C2212yes—
274#2453C2212yes—
275#2452C2212yes—
276#2452C2212yes—
277#2451C2212yes—
278#2451C2212yes—
279#2451C2212yes—
280#2451C2211yescharacteristic
281#2451C2212yes—
282#2451C2212yes—
283#2450C2212yes—
284#2450C2212yes—
285#2450C2212yes—
286#2450C2212yes—
287#2450C2212yes—
288#2450C2212yes—
289#2450C2212yes—
290#2450C2212yes—
291#2449C2212yes—
292#2446C2212yes—
293#2446C2211yescharacteristic
294#2442C2212yes—
295#2440C2211yescharacteristic
296#2440C2212yes—
297#2439C2212yes—
298#2439C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2438C2212yes—
302#2438C2212yes—
303#2434C2212yes—
304#2434C2212yes—
305#2434C2211yescharacteristic
306#2429C2211yescharacteristic
307#2429C2212yes—
308#2423C2211yescharacteristic
309#2417C2212yes—
310#2417C2211yescharacteristic
311#2409C2211yescharacteristic
312#2409C2212yes—
313#2409C2212yes—
314#2409C2211yescharacteristic
315#2402C2212yes—
316#2402C2212yes—
317#2399C2212yes—
318#2396C2212yes—
319C2×#400C2212yes—
320#2381C2212yes—
321#2379C2212yes—
322#2377C2212yes—
323#2377C2212yes—
324#2372C2212yes—
325#2369C2211yescharacteristic
326#2368C2212yes—
327#2368C2212yes—
328#2368C2212yes—
329#2368C2212yes—
330#2367C2212yes—
331#2367C2212yes—
332#2367C2212yes—
333#2367C2212yes—
334#2364C2212yes—
335#2364C2212yes—
336#2363C2211yescharacteristic
337#2363C2211yescharacteristic
338#2361C2212yes—
339#2354C2211yescharacteristic
340#2353C2212yes—
341#2353C2212yes—
342#2351C2212yes—
343#2349C2212yes—
344D4×C4⋊C4C2211yescharacteristic
345D4×C4⋊C4C2212yes—
346#2347C2212yes—
347#2347C2211yescharacteristic
348#2347C2211yescharacteristic
349#2345C2212yes—
350#2345C2211yescharacteristic
351#2343C2212yes—
352#2343C2212yes—
353#2343C2212yes—
354#2343C2212yes—
355Q8×C22⋊C4C2211yescharacteristic
356#2337C2212yes—
357#2337C2212yes—
358#2337C2212yes—
359#2337C2212yes—
360#2333C2212yes—
361#2333C2212yes—
362#2331C2212yes—
363#2331C2212yes—
364#2331C2212yes—
365#2329C2212yes—
366#2329C2212yes—
367#2327C2212yes—
368#2326C2212yes—
369#2325C2212yes—
370#2325C2212yes—
371#2324C2212yes—
372#2318C2212yes—
373#2318C2212yes—
374#2314C2212yes—
375#2314C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×C4⋊Q8C2212yes—
378C4×#125C2212yes—
379C4×#125C2212yes—
380C4×#124C2212yes—
381C4×C22⋊Q8C2211yescharacteristic
382C4×C22⋊Q8C2211yescharacteristic
383C4×#121C2211yescharacteristic
384C4×#121C2211yescharacteristic
385#2298C2212yes—
386#2298C2212yes—
387#2296C2211yescharacteristic
388#2296C2211yescharacteristic
389#2295C2211yescharacteristic
390C2×#391C2211yescharacteristic
391C2×#391C2211yescharacteristic
392#2293C2211yescharacteristic
393#2274C2212yes—
394C42×D4C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397#555Q8116yescomplemented
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2311yescharacteristic
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#124C2312yes—
415C2×#124C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×#117C2312yes—
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2311yescharacteristic
462C2×#117C2312yes—
463C2×#117C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
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#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
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#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#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#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
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#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
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#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
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#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2311yescharacteristic
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#391C2311yescharacteristic
712#391C2311yescharacteristic
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2311yescharacteristic
721#391C2311yescharacteristic
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2311yescharacteristic
726#391C2312yes—
727#391C2311yescharacteristic
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2311yescharacteristic
736#390C2311yescharacteristic
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2311yescharacteristic
747#389C2311yescharacteristic
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2311yescharacteristic
775#389C2311yescharacteristic
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2311yescharacteristic
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#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
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#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
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#385C2312yes—
999#385C2312yes—
1000#384C2312yes—
1001#384C2311yescharacteristic
1002#384C2312yes—
1003#384C2312yes—
1004#384C2311yescharacteristic
1005#384C2311yescharacteristic
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2312yes—
1060#380C2311yescharacteristic
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C22⋊C4C2311yescharacteristic
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2311yescharacteristic
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2311yescharacteristic
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C43C2312yes—
1142C43C2311yescharacteristic
1143C22×Q8—42no—
1144C22×Q8—42no—
1145C22×Q8—42no—
1146C22×Q8—81no—
1147C22×Q8—81no—
1148C22×Q8—81no—
1149C22×Q8C2411yescharacteristic
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2411yescharacteristic
1167C23×C4C2411yescharacteristic
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2411yescharacteristic
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2411yescharacteristic
1183C23×C4C2411yescharacteristic
1184C4⋊Q8—44no—
1185C4⋊Q8—44no—
1186C4⋊Q8—44no—
1187C4⋊Q8—44no—
1188C4⋊Q8—81no—
1189C4⋊Q8—81no—
1190C4⋊Q8—82no—
1191C4⋊Q8—82no—
1192C4⋊Q8—82no—
1193C4⋊Q8—82no—
1194C4⋊Q8—81no—
1195C4⋊Q8—81no—
1196C4⋊Q8C2×Q818yescomplemented
1197#125—44no—
1198#125—44no—
1199#125—82no—
1200#124C2×Q8116yescomplemented
1201#124C2×Q8116yescomplemented
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—42no—
1209C22⋊Q8—42no—
1210C22⋊Q8—82no—
1211C22⋊Q8—82no—
1212C22⋊Q8—81no—
1213C22⋊Q8—81no—
1214C22⋊Q8—82no—
1215C22⋊Q8—82no—
1216C22⋊Q8—82no—
1217C22⋊Q8—82no—
1218C22⋊Q8—81no—
1219C22⋊Q8—82no—
1220C22⋊Q8—82no—
1221C22⋊Q8—81no—
1222#121C2×Q8116yes—
1223#121C2×Q818yescomplemented
1224#121C2×Q818yescomplemented
1225C4×Q8—44no—
1226C4×Q8—42no—
1227C4×Q8—81no—
1228C4×Q8—81no—
1229C4×Q8—82no—
1230C4×Q8—82no—
1231C4×Q8—82no—
1232C4×D4—42no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—42no—
1236C4×D4—81no—
1237C4×D4—81no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242C4×D4C2×Q818yes—
1243C4×D4C2×Q818yescomplemented
1244#117—44no—
1245#117—81no—
1246#117—81no—
1247#117C2×Q818yescomplemented
1248#117C2×Q818yescomplemented
1249#117C2×Q8116yescomplemented
1250C2×C4⋊C4—44no—
1251C2×C4⋊C4—42no—
1252C2×C4⋊C4—44no—
1253C2×C4⋊C4—81no—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊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⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2411yescharacteristic
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2411yescharacteristic
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2411yescharacteristic
1404C2×C22⋊C4C2411yescharacteristic
1405C2×C22⋊C4C2412yes—
1406C2×C42—81no—
1407C2×C42—81no—
1408C2×C42C2411yescharacteristic
1409C2×C42C2411yescharacteristic
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2411yescharacteristic
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2411yescharacteristic
1421C2×C42C2411yescharacteristic
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2411yescharacteristic
1429C2×C42C2411yescharacteristic
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2411yescharacteristic
1443C2×C42C2411yescharacteristic
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2411yescharacteristic
1494#95C2411yescharacteristic
1495#95C2412yes—
1496#95C2412yes—
1497#95C2411yescharacteristic
1498#95C2411yescharacteristic
1499#95C2411yescharacteristic
1500#95C2411yescharacteristic
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—
1576C24C2512yes—
1577C24C2511yescharacteristic
1578C24C2511yescharacteristic
1579C2×Q8—22no—
1580C2×Q8—22no—
1581C2×Q8—22no—
1582C2×Q8—24no—
1583C2×Q8—22no—
1584C2×Q8—22no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—41no—
1588C2×Q8—41no—
1589C2×Q8—41no—
1590C2×Q8—42no—
1591C2×Q8—41no—
1592C2×Q8—42no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—42no—
1596C2×Q8—41no—
1597C2×Q8—42no—
1598C2×Q8—42no—
1599C2×Q8—41no—
1600C2×Q8—41no—
1601C2×Q8—42no—
1602C2×Q8—42no—
1603C2×Q8—41no—
1604C2×Q8—42no—
1605C2×Q8—42no—
1606C2×Q8—42no—
1607C2×Q8—42no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8—42no—
1611C2×Q8—42no—
1612C2×Q8—42no—
1613C2×Q8—42no—
1614C2×Q8—42no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—42no—
1618C2×Q8—42no—
1619C2×Q8—42no—
1620C2×Q8—88no—
1621C2×Q8—88no—
1622C2×Q8C22×Q818yes—
1623C2×D4—41no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—41no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—41no—
1630C2×D4—41no—
1631C2×D4C22×Q814yes—
1632C2×D4C22×Q814yes—
1633C2×D4C22×Q818yes—
1634C2×D4C22×Q818yes—
1635C22×C4—22no—
1636C22×C4—22no—
1637C22×C4—22no—
1638C22×C4—24no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—41no—
1644C22×C4—41no—
1645C22×C4—42no—
1646C22×C4—41no—
1647C22×C4—42no—
1648C22×C4—41no—
1649C22×C4—41no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4C22×Q814yes—
1684C22×C4C22×Q814yes—
1685C22×C4C22×Q818yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2511yescharacteristic
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2511yescharacteristic
1705C22×C4C2511yescharacteristic
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2511yescharacteristic
1719C22×C4C2511yescharacteristic
1720C22×C4C2511yescharacteristic
1721C22×C4C2511yescharacteristic
1722C4⋊C4—22no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—22no—
1730C4⋊C4—22no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—22no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—41no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—41no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—41no—
1795C4⋊C4—42no—
1796C4⋊C4—41no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
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—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—
1823C4⋊C4—42no—
1824C4⋊C4C22×Q814yes—
1825C4⋊C4C22×Q814yes—
1826C4⋊C4C22×Q818yes—
1827C4⋊C4C22×Q814yes—
1828C4⋊C4C22×Q814yes—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—22no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—41no—
1839C22⋊C4—41no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—41no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4C22×Q818yes—
1868C22⋊C4C22×Q818yes—
1869C22⋊C4C22×Q818yes—
1870C22⋊C4C22×Q818yes—
1871C22⋊C4C22×Q814yes—
1872C22⋊C4C22×Q814yes—
1873C22⋊C4C22×Q818yes—
1874C42—22no—
1875C42—22no—
1876C42—41no—
1877C42—41no—
1878C42—41no—
1879C42—41no—
1880C42—41no—
1881C42—41no—
1882C42—41no—
1883C42—42no—
1884C42—42no—
1885C42—41no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—41no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—41no—
1911C42C22×Q818yes—
1912C42C22×Q818yes—
1913C42C22×Q814yes—
1914C23—22no—
1915C23—21no—
1916C23—22no—
1917C23—21no—
1918C23—21no—
1919C23—21no—
1920C23—22no—
1921C23—21no—
1922C23—21no—
1923C23—22no—
1924C23—21no—
1925C23—21no—
1926C23—21no—
1927C23—22no—
1928C23—21no—
1929C23—21no—
1930C23—21no—
1931C23—22no—
1932C23C23×Q814yes—
1933C23C23×Q812yes—
1934C23C23×Q812yes—
1935C23C2611yescharacteristic
1936Q8—48no—
1937Q8—44no—
1938Q8—82no—
1939Q8—82no—
1940Q8—82no—
1941Q8—84no—
1942Q8—82no—
1943Q8—84no—
1944Q8—84no—
1945Q8—162no—
1946Q8—162no—
1947Q8—162no—
1948Q8—162no—
1949Q8—162no—
1950D4—48no—
1951D4—48no—
1952D4—44no—
1953D4—44no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—21no—
2006C2×C4—21no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—21no—
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—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—48no—
2052C2×C4—44no—
2053C2×C4—44no—
2054C2×C4—44no—
2055C2×C4—44no—
2056C2×C4—82no—
2057C2×C4—84no—
2058C2×C4—82no—
2059C2×C4—84no—
2060C2×C4—84no—
2061C2×C4—162no—
2062C2×C4—162no—
2063C2×C4—162no—
2064C2×C4—162no—
2065C2×C4—162no—
2066C2×C4—162no—
2067C2×C4—162no—
2068C2×C4C23×Q814yes—
2069C2×C4C23×Q812yes—
2070C2×C4C23×Q812yes—
2071C2×C4C23×Q812yes—
2072C2×C4C23×Q814yes—
2073C2×C4C23×Q814yes—
2074C2×C4C23×Q812yes—
2075C2×C4C23×Q812yes—
2076C2×C4#58512yes—
2077C2×C4#58512yes—
2078C2×C4#58512yes—
2079C22—24no—
2080C22—22no—
2081C22—22no—
2082C22—24no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—24no—
2088C22—41no—
2089C22—42no—
2090C22—41no—
2091C22—41no—
2092C22—41no—
2093C22—42no—
2094C22—41no—
2095C22—42no—
2096C22—41no—
2097C22—42no—
2098C22—41no—
2099C22—41no—
2100C22C24×Q811yescharacteristic
2101C22C2×#58511yescharacteristic
2102C22C2×#58511yescharacteristic
2103C22C2×#58511yescharacteristic
2104C22H(7,𝔽2)11yescharacteristic
2105C22H(7,𝔽2)11yescharacteristic
2106C222−1+611yescharacteristic
2107C4—24no—
2108C4—24no—
2109C4—22no—
2110C4—22no—
2111C4—24no—
2112C4—22no—
2113C4—22no—
2114C4—22no—
2115C4—22no—
2116C4—22no—
2117C4—22no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—41no—
2124C4—41no—
2125C4—42no—
2126C4—42no—
2127C4—41no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—41no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—41no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C2—44no—
2144C2—42no—
2145C2—42no—
2146C2#6281311yescharacteristic
2147C2#6285411yescharacteristic
2148C2#6286711yescharacteristic
2149C2#6290611yescharacteristic
2150C2#6296811yescharacteristic
2151C2#6298911yescharacteristic
2152C2#6306911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#555C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59886C2semidirect
2. #59462C2semidirect
3. #52290C2semidirect
4. #52082C2semidirect
5. #51596C2semidirect
6. #51222C2semidirect
7. #51220C2semidirect
8. #48844C2semidirect
9. #47973C2semidirect
10. #47725C2semidirect
11. #46844C2semidirect
12. #46283C2semidirect
13. #45793C2semidirect
14. #45213C2semidirect
15. #44745C2semidirect
16. #44233C2semidirect
17. #43567C2semidirect
18. #43128C2semidirect
19. #42188C2semidirect
20. #42008C2semidirect
21. #40630C2semidirect
22. #40620C2semidirect
23. #39970C2semidirect
24. #39970C2semidirect
25. #39708C2semidirect
26. #39700C2semidirect
27. #39632C2semidirect
28. #39629C2semidirect
29. #38453C2semidirect
30. #38446C2semidirect
31. #38446C2semidirect
32. #37308C2semidirect
33. #37136C2semidirect
34. #36277C2semidirect
35. #36035C2semidirect
36. #35577C2semidirect
37. #35016C2semidirect
397. #555Q8semidirect
1196. C4⋊Q8C2×Q8semidirect
1200. #124C2×Q8semidirect
1201. #124C2×Q8semidirect
1223. #121C2×Q8semidirect
1224. #121C2×Q8semidirect
1243. C4×D4C2×Q8semidirect
1247. #117C2×Q8semidirect
1248. #117C2×Q8semidirect
1249. #117C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#598862
#594622
#522902
#520822
#515962
#512222
#512202
#488442
#479732
#477252
#468442
#462832
#457932
#452132
#447452
#442332
#435672
#431282
#421882
#420082
#406302
#406202
#399702
#397082
#397002
#396322
#396292
#384532
#384462
#373082
#371362
#362772
#360352
#355772
#350162
#345032
#343212