Finite Group Databasebeta

← #7900915

Subgroups — #7900915

Order 512.

4169 conjugacy classes of subgroups.

The subgroup lattice has 2105 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59927C211yesmaximal, characteristic, complemented
2#59477C212yesmaximal, complemented
3#52287C211yesmaximal, characteristic, complemented
4#51221C212yesmaximal, complemented
5#50908C212yesmaximal, complemented
6#50699C212yesmaximal
7#47987C212yesmaximal
8#47976C212yesmaximal, complemented
9#47967C212yesmaximal, complemented
10#47727C212yesmaximal, complemented
11#46847C212yesmaximal
12#45795C211yesmaximal, characteristic, complemented
13#45794C211yesmaximal, characteristic, complemented
14#44950C212yesmaximal, complemented
15#44387C212yesmaximal, complemented
16#44353C212yesmaximal, complemented
17#44317C212yesmaximal, complemented
18#43135C212yesmaximal
19#42008C212yesmaximal, complemented
20#42007C212yesmaximal, complemented
21#42001C212yesmaximal
22#40628C212yesmaximal, complemented
23#39974C212yesmaximal, complemented
24#39711C211yesmaximal, characteristic, complemented
25#39706C212yesmaximal, complemented
26#39703C211yesmaximal, characteristic, complemented
27#39624C211yesmaximal, characteristic, complemented
28#39623C211yesmaximal, characteristic, complemented
29#38458C212yesmaximal, complemented
30#38454C211yesmaximal, characteristic, complemented
31#38446C211yesmaximal, characteristic, complemented
32#37308C211yesmaximal, characteristic, complemented
33#37135C211yesmaximal, characteristic, complemented
34#36277C211yesmaximal, characteristic
35#35815C212yesmaximal, complemented
36#35578C212yesmaximal, complemented
37#35176C211yesmaximal, characteristic
38#34507C212yesmaximal
39#34314C211yesmaximal, characteristic
40C2×#552C2211yescharacteristic
41#2864C2212yes—
42#2863C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2211yescharacteristic
47#2855C2211yescharacteristic
48#2855C2211yescharacteristic
49#2843C2212yes—
50#2841C2212yes—
51#2841C2212yes—
52#2841C2212yes—
53#2811C2211yescharacteristic
54#2811C2211yescharacteristic
55#2809C2211yescharacteristic
56#2807C2212yes—
57#2807C2212yes—
58#2806C2211yescharacteristic
59#2806C2212yes—
60#2806C2212yes—
61#2806C2211yescharacteristic
62#2806C2211yescharacteristic
63#2806C2212yes—
64#2806C2211yescharacteristic
65#2806C2212yes—
66#2806C2212yes—
67#2806C2212yes—
68#2806C2211yescharacteristic
69#2805C2211yescharacteristic
70#2805C2211yescharacteristic
71#2805C2211yescharacteristic
72#2805C2212yes—
73#2805C2212yes—
74#2802C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2802C2212yes—
78#2799C2212yes—
79#2792C2212yes—
80#2792C2212yes—
81#2792C2212yes—
82#2792C2212yes—
83#2792C2212yes—
84#2792C2212yes—
85#2792C2212yes—
86#2792C2212yes—
87#2792C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2791C2212yes—
92#2791C2212yes—
93#2791C2212yes—
94#2791C2212yes—
95#2791C2212yes—
96#2791C2212yes—
97#2788C2212yes—
98#2788C2212yes—
99#2780C2212yes—
100#2774C2212yes—
101#2774C2212yes—
102#2774C2212yes—
103#2774C2212yes—
104#2768C2212yes—
105#2768C2212yes—
106#2768C2212yes—
107#2755C2212yes—
108#2755C2212yes—
109#2755C2212yes—
110#2755C2212yes—
111#2755C2212yes—
112#2742C2212yes—
113#2742C2212yes—
114#2742C2212yes—
115#2742C2212yes—
116#2742C2212yes—
117#2734C2211yescharacteristic
118#2734C2212yes—
119#2734C2212yes—
120#2734C2211yescharacteristic
121#2734C2211yescharacteristic
122#2734C2212yes—
123#2734C2211yescharacteristic
124#2734C2212yes—
125#2734C2212yes—
126#2729C2212yes—
127#2729C2212yes—
128#2726C2211yescharacteristic
129#2720C2212yes—
130#2713C2212yes—
131#2713C2212yes—
132#2713C2212yes—
133#2713C2212yes—
134#2713C2212yes—
135#2713C2212yes—
136#2713C2212yes—
137#2704C2212yes—
138#2704C2212yes—
139#2704C2212yes—
140#2692C2212yes—
141#2692C2212yes—
142#2692C2212yes—
143#2677C2212yes—
144#2677C2212yes—
145#2677C2212yes—
146#2677C2212yes—
147#2667C2212yes—
148#2667C2212yes—
149#2667C2212yes—
150#2666C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2666C2212yes—
156#2666C2212yes—
157#2665C2212yes—
158#2665C2212yes—
159#2659C2212yes—
160#2659C2212yes—
161#2628C2212yes—
162#2628C2212yes—
163#2627C2212yes—
164#2612C2212yes—
165#2612C2212yes—
166#2612C2212yes—
167#2607C2212yes—
168#2607C2212yes—
169#2606C2212yes—
170#2605C2212yes—
171#2605C2212yes—
172#2605C2212yes—
173#2605C2212yes—
174#2605C2212yes—
175#2590C2212yes—
176#2590C2212yes—
177#2590C2212yes—
178#2590C2212yes—
179#2590C2212yes—
180#2589C2212yes—
181#2589C2212yes—
182#2589C2212yes—
183#2589C2212yes—
184#2588C2212yes—
185#2588C2212yes—
186#2588C2212yes—
187#2588C2212yes—
188#2588C2212yes—
189#2588C2212yes—
190#2588C2212yes—
191#2588C2212yes—
192#2588C2212yes—
193#2586C2212yes—
194#2586C2212yes—
195#2586C2212yes—
196#2586C2212yes—
197#2586C2212yes—
198#2586C2212yes—
199#2586C2212yes—
200#2585C2212yes—
201#2585C2212yes—
202#2585C2212yes—
203#2585C2212yes—
204#2584C2212yes—
205#2584C2212yes—
206#2584C2212yes—
207#2582C2212yes—
208#2581C2212yes—
209#2574C2212yes—
210#2574C2212yes—
211#2574C2212yes—
212#2574C2212yes—
213#2570C2212yes—
214#2570C2212yes—
215#2570C2212yes—
216#2570C2212yes—
217#2569C2212yes—
218#2569C2212yes—
219#2567C2212yes—
220#2567C2212yes—
221#2567C2212yes—
222#2567C2212yes—
223#2564C2212yes—
224#2556C2212yes—
225#2556C2212yes—
226#2556C2212yes—
227#2552C2212yes—
228#2552C2211yescharacteristic
229#2551C2212yes—
230#2551C2212yes—
231#2551C2212yes—
232#2550C2212yes—
233#2550C2212yes—
234#2550C2212yes—
235#2550C2212yes—
236#2550C2212yes—
237#2549C2212yes—
238#2549C2212yes—
239#2549C2212yes—
240#2549C2212yes—
241#2546C2212yes—
242#2546C2211yescharacteristic
243#2542C2211yescharacteristic
244#2538C2211yescharacteristic
245#2522C2212yes—
246#2522C2212yes—
247#2522C2212yes—
248#2522C2212yes—
249#2522C2212yes—
250#2520C2212yes—
251#2520C2212yes—
252#2520C2212yes—
253#2520C2212yes—
254#2520C2212yes—
255#2511C2211yescharacteristic
256#2509C2212yes—
257#2508C2212yes—
258#2507C2212yes—
259#2507C2212yes—
260#2507C2212yes—
261#2507C2212yes—
262#2506C2212yes—
263#2505C2212yes—
264#2497C2212yes—
265#2492C2212yes—
266#2492C2211yescharacteristic
267#2487C2211yescharacteristic
268#2473C2212yes—
269#2465C2212yes—
270#2465C2212yes—
271#2465C2212yes—
272#2465C2212yes—
273#2465C2212yes—
274#2465C2212yes—
275#2462C2212yes—
276#2462C2212yes—
277#2462C2212yes—
278#2462C2212yes—
279#2462C2212yes—
280#2462C2212yes—
281#2454C2212yes—
282#2453C2212yes—
283#2451C2212yes—
284#2451C2212yes—
285#2451C2212yes—
286#2451C2212yes—
287#2451C2212yes—
288#2451C2212yes—
289#2451C2211yescharacteristic
290#2446C2212yes—
291#2446C2212yes—
292#2446C2212yes—
293#2446C2212yes—
294#2442C2212yes—
295#2441C2212yes—
296#2440C2212yes—
297#2440C2212yes—
298#2440C2212yes—
299#2440C2212yes—
300#2440C2212yes—
301#2439C2212yes—
302#2438C2212yes—
303#2434C2212yes—
304#2429C2212yes—
305#2429C2211yescharacteristic
306#2429C2211yescharacteristic
307#2423C2212yes—
308#2423C2212yes—
309#2423C2211yescharacteristic
310#2423C2211yescharacteristic
311#2423C2212yes—
312#2423C2211yescharacteristic
313#2423C2212yes—
314#2409C2211yescharacteristic
315#2399C2212yes—
316#2399C2212yes—
317#2399C2212yes—
318#2399C2212yes—
319#2396C2212yes—
320#2382C2212yes—
321#2378C2212yes—
322#2378C2212yes—
323#2376C2212yes—
324#2374C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2371C2212yes—
329#2370C2212yes—
330#2370C2211yescharacteristic
331#2370C2212yes—
332#2370C2212yes—
333#2369C2212yes—
334#2368C2212yes—
335#2365C2212yes—
336#2365C2212yes—
337#2365C2212yes—
338#2362C2211yescharacteristic
339#2360C2211yescharacteristic
340#2359C2212yes—
341#2356C2212yes—
342#2355C2212yes—
343#2353C2212yes—
344#2352C2211yescharacteristic
345#2351C2211yescharacteristic
346#2347C2211yescharacteristic
347#2347C2212yes—
348#2346C2212yes—
349#2345C2211yescharacteristic
350#2345C2212yes—
351#2344C2211yescharacteristic
352#2343C2212yes—
353#2343C2212yes—
354Q8×C22⋊C4C2211yescharacteristic
355Q8×C22⋊C4C2212yes—
356#2336C2212yes—
357#2336C2212yes—
358#2336C2212yes—
359#2335C2212yes—
360#2335C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2332C2212yes—
364#2331C2212yes—
365#2331C2212yes—
366#2330C2212yes—
367#2330C2212yes—
368#2330C2212yes—
369#2329C2212yes—
370#2329C2212yes—
371#2322C2212yes—
372#2319C2212yes—
373#2314C2212yes—
374#2314C2212yes—
375#2313C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×C4⋊Q8C2212yes—
378C4×C4⋊Q8C2212yes—
379C4×#125C2211yescharacteristic
380C4×#126C2212yes—
381C4×C22⋊Q8C2211yescharacteristic
382C4×C22⋊Q8C2211yescharacteristic
383C4×C22⋊Q8C2211yescharacteristic
384#2298C2212yes—
385#2296C2211yescharacteristic
386#2295C2211yescharacteristic
387#2295C2211yescharacteristic
388#2295C2211yescharacteristic
389#2295C2212yes—
390#2295C2212yes—
391C2×#391C2211yescharacteristic
392C2×#389C2211yescharacteristic
393#2274C2212yes—
394C42×D4C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396#552Q8116yescomplemented
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2311yescharacteristic
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×#126C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#123C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2311yescharacteristic
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
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#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
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#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
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#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#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2311yescharacteristic
660#391C2311yescharacteristic
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2312yes—
695#391C2312yes—
696#391C2311yescharacteristic
697#391C2312yes—
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2311yescharacteristic
706#391C2311yescharacteristic
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
711#391C2311yescharacteristic
712#391C2312yes—
713#391C2312yes—
714#391C2311yescharacteristic
715#391C2311yescharacteristic
716#391C2311yescharacteristic
717#390C2312yes—
718#390C2312yes—
719#389C2311yescharacteristic
720#389C2311yescharacteristic
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
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#389C2311yescharacteristic
761#389C2312yes—
762#389C2311yescharacteristic
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2311yescharacteristic
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2311yescharacteristic
804#389C2311yescharacteristic
805#389C2311yescharacteristic
806#389C2311yescharacteristic
807#389C2312yes—
808#389C2312yes—
809#389C2311yescharacteristic
810#389C2311yescharacteristic
811#389C2312yes—
812#389C2312yes—
813#389C2311yescharacteristic
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2311yescharacteristic
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#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#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
976#387C2312yes—
977#387C2312yes—
978#387C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
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#384C2312yes—
1004#384C2312yes—
1005#384C2311yescharacteristic
1006#384C2311yescharacteristic
1007#384C2312yes—
1008#384C2312yes—
1009#384C2312yes—
1010#384C2312yes—
1011#384C2312yes—
1012#384C2311yescharacteristic
1013#384C2311yescharacteristic
1014#384C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#382C2311yescharacteristic
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C4⋊C4C2311yescharacteristic
1110C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2311yescharacteristic
1130C4×C22⋊C4C2311yescharacteristic
1131C4×C22⋊C4C2311yescharacteristic
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C43C2312yes—
1142C43C2311yescharacteristic
1143C22×Q8—24no—
1144C22×Q8—42no—
1145C22×Q8—81no—
1146C22×Q8C2412yes—
1147C22×Q8C2411yescharacteristic
1148C22×Q8C2411yescharacteristic
1149C22×Q8C2411yescharacteristic
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C23×C4C2411yescharacteristic
1162C23×C4C2411yescharacteristic
1163C23×C4C2411yescharacteristic
1164C23×C4C2411yescharacteristic
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C4⋊Q8—28no—
1172C4⋊Q8—44no—
1173C4⋊Q8—42no—
1174C4⋊Q8—44no—
1175C4⋊Q8—44no—
1176C4⋊Q8—44no—
1177C4⋊Q8—44no—
1178C4⋊Q8—81no—
1179C4⋊Q8—81no—
1180C4⋊Q8—81no—
1181C4⋊Q8—82no—
1182C4⋊Q8—82no—
1183C4⋊Q8—82no—
1184C4⋊Q8—82no—
1185C4⋊Q8—82no—
1186#126C2×Q8116yes—
1187#125—44no—
1188#125—44no—
1189#125—44no—
1190#125—82no—
1191#125—82no—
1192#125—82no—
1193#125C2×Q8116yescomplemented
1194#125C2×Q818yescomplemented
1195#123C2×Q8116yes—
1196C22⋊Q8—24no—
1197C22⋊Q8—44no—
1198C22⋊Q8—82no—
1199C22⋊Q8—81no—
1200C22⋊Q8—81no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205C22⋊Q8—82no—
1206C22⋊Q8—81no—
1207C22⋊Q8—81no—
1208C22⋊Q8—81no—
1209C22⋊Q8—81no—
1210C22⋊Q8—81no—
1211C22⋊Q8C2×Q818yes—
1212C22⋊Q8C2×Q818yescomplemented
1213C4×Q8—24no—
1214C4×Q8—44no—
1215C4×Q8—42no—
1216C4×Q8—81no—
1217C4×Q8—81no—
1218C4×Q8—81no—
1219C4×Q8—81no—
1220C4×Q8—82no—
1221C4×Q8—82no—
1222C4×Q8—81no—
1223C4×Q8—82no—
1224C4×Q8—82no—
1225C4×Q8—82no—
1226C4×Q8—82no—
1227C4×Q8C2×Q818yescomplemented
1228C4×D4—42no—
1229C4×D4—42no—
1230C4×D4C2×Q818yes—
1231#117—44no—
1232#117—81no—
1233#117C2×Q818yes—
1234#117C2×Q8116yescomplemented
1235C2×C4⋊C4—42no—
1236C2×C4⋊C4—44no—
1237C2×C4⋊C4—81no—
1238C2×C4⋊C4C2×Q818yescomplemented
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2411yescharacteristic
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C22⋊C4C2411yescharacteristic
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C42—81no—
1393C2×C42—81no—
1394C2×C42C2412yes—
1395C2×C42C2411yescharacteristic
1396C2×C42C2411yescharacteristic
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2411yescharacteristic
1402C2×C42C2411yescharacteristic
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2411yescharacteristic
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2411yescharacteristic
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2411yescharacteristic
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
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#95C2411yescharacteristic
1473#95C2411yescharacteristic
1474#95C2411yescharacteristic
1475#95C2412yes—
1476#95C2411yescharacteristic
1477#95C2411yescharacteristic
1478#95C2411yescharacteristic
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#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571C24C2511yescharacteristic
1572C24C2511yescharacteristic
1573C2×Q8—24no—
1574C2×Q8—24no—
1575C2×Q8—22no—
1576C2×Q8—24no—
1577C2×Q8—22no—
1578C2×Q8—22no—
1579C2×Q8—22no—
1580C2×Q8—41no—
1581C2×Q8—42no—
1582C2×Q8—41no—
1583C2×Q8—41no—
1584C2×Q8—41no—
1585C2×Q8—42no—
1586C2×Q8—41no—
1587C2×Q8—41no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—41no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—42no—
1596C2×Q8—41no—
1597C2×Q8—42no—
1598C2×Q8—42no—
1599C2×Q8—42no—
1600C2×Q8—42no—
1601C2×Q8—42no—
1602C2×Q8—41no—
1603C2×Q8—42no—
1604C2×Q8—41no—
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—88no—
1614C2×Q8C22×Q814yes—
1615C2×Q82−1+414yes—
1616C2×D4—41no—
1617C2×D4—41no—
1618C2×D4C22×Q814yes—
1619C22×C4—22no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—24no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—41no—
1626C22×C4—41no—
1627C22×C4—41no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—41no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4C22×Q818yes—
1647C22×C4C22×Q814yes—
1648C22×C4C22×Q814yes—
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2511yescharacteristic
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2511yescharacteristic
1664C22×C4C2512yes—
1665C22×C4C2511yescharacteristic
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2511yescharacteristic
1673C22×C4C2511yescharacteristic
1674C22×C4C2511yescharacteristic
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2511yescharacteristic
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2511yescharacteristic
1681C22×C4C2511yescharacteristic
1682C22×C4C2512yes—
1683C22×C4C2511yescharacteristic
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C4⋊C4—24no—
1687C4⋊C4—22no—
1688C4⋊C4—22no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—22no—
1699C4⋊C4—22no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—41no—
1707C4⋊C4—41no—
1708C4⋊C4—41no—
1709C4⋊C4—41no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—41no—
1726C4⋊C4—41no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
1734C4⋊C4—41no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—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—42no—
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—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4C22×Q814yes—
1804C4⋊C4C22×Q814yes—
1805C4⋊C4C22×Q818yes—
1806C4⋊C4C22×Q814yes—
1807C4⋊C4C22×Q818yes—
1808C4⋊C4C22×Q818yes—
1809C4⋊C4C22×Q814yes—
1810C4⋊C4C22×Q818yes—
1811C4⋊C4C22×Q818yes—
1812C4⋊C4C22×Q818yes—
1813C22⋊C4—24no—
1814C22⋊C4—22no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—41no—
1821C22⋊C4—41no—
1822C22⋊C4—41no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4C22×Q818yes—
1835C22⋊C4C22×Q814yes—
1836C22⋊C4C22×Q818yes—
1837C22⋊C4C22×Q814yes—
1838C22⋊C4C22×Q818yes—
1839C42—24no—
1840C42—22no—
1841C42—24no—
1842C42—24no—
1843C42—22no—
1844C42—41no—
1845C42—41no—
1846C42—41no—
1847C42—41no—
1848C42—41no—
1849C42—41no—
1850C42—41no—
1851C42—42no—
1852C42—42no—
1853C42—41no—
1854C42—42no—
1855C42—42no—
1856C42—41no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—41no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42C22×Q818yes—
1884C42C22×Q818yes—
1885C42C22×Q814yes—
1886C23—21no—
1887C23—21no—
1888C23—21no—
1889C23—21no—
1890C23—21no—
1891C23—21no—
1892C23—21no—
1893C23—21no—
1894C23—21no—
1895C23—21no—
1896C23—21no—
1897C23—21no—
1898C23C23×Q812yes—
1899C23C23×Q812yes—
1900C23C2611yescharacteristic
1901Q8—44no—
1902Q8—44no—
1903Q8—48no—
1904Q8—82no—
1905Q8—82no—
1906Q8—82no—
1907Q8—84no—
1908Q8—82no—
1909Q8—84no—
1910Q8—84no—
1911Q8—84no—
1912Q8—84no—
1913Q8—162no—
1914Q8—162no—
1915D4—44no—
1916C2×C4—21no—
1917C2×C4—22no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—22no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—21no—
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—21no—
2003C2×C4—22no—
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—48no—
2015C2×C4—44no—
2016C2×C4—44no—
2017C2×C4—44no—
2018C2×C4—82no—
2019C2×C4—82no—
2020C2×C4—82no—
2021C2×C4—84no—
2022C2×C4—162no—
2023C2×C4—162no—
2024C2×C4C23×Q812yes—
2025C2×C4C23×Q814yes—
2026C2×C4C23×Q812yes—
2027C2×C4C23×Q814yes—
2028C2×C4C23×Q814yes—
2029C2×C4C23×Q812yes—
2030C2×C4C23×Q812yes—
2031C2×C4C23×Q814yes—
2032C2×C4C23×Q812yes—
2033C2×C4C2×2−1+414yes—
2034C2×C4C2×2−1+412yes—
2035C2×C4#58512yes—
2036C2×C4#58512yes—
2037C22—22no—
2038C22—22no—
2039C22—22no—
2040C22—22no—
2041C22—22no—
2042C22—22no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22C24×Q811yescharacteristic
2052C22C22×2−1+411yescharacteristic
2053C22C2×#58511yescharacteristic
2054C22C2×#58511yescharacteristic
2055C22H(7,𝔽2)11yescharacteristic
2056C22H(7,𝔽2)11yescharacteristic
2057C222−1+611yescharacteristic
2058C4—22no—
2059C4—24no—
2060C4—24no—
2061C4—24no—
2062C4—22no—
2063C4—22no—
2064C4—22no—
2065C4—22no—
2066C4—24no—
2067C4—22no—
2068C4—22no—
2069C4—22no—
2070C4—24no—
2071C4—41no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—41no—
2079C4—41no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—41no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—41no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C2—42no—
2096C2—42no—
2097C2#6281311yescharacteristic
2098C2#6285411yescharacteristic
2099C2#6287011yescharacteristic
2100C2#6290311yescharacteristic
2101C2#6295311yescharacteristic
2102C2Q8×2−1+411yescharacteristic
2103C2#6305611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59927C2semidirect
2. #59477C2semidirect
3. #52287C2semidirect
4. #51221C2semidirect
5. #50908C2semidirect
8. #47976C2semidirect
9. #47967C2semidirect
10. #47727C2semidirect
12. #45795C2semidirect
13. #45794C2semidirect
14. #44950C2semidirect
15. #44387C2semidirect
16. #44353C2semidirect
17. #44317C2semidirect
19. #42008C2semidirect
20. #42007C2semidirect
22. #40628C2semidirect
23. #39974C2semidirect
24. #39711C2semidirect
25. #39706C2semidirect
26. #39703C2semidirect
27. #39624C2semidirect
28. #39623C2semidirect
29. #38458C2semidirect
30. #38454C2semidirect
31. #38446C2semidirect
32. #37308C2semidirect
33. #37135C2semidirect
35. #35815C2semidirect
36. #35578C2semidirect
396. #552Q8semidirect
1193. #125C2×Q8semidirect
1194. #125C2×Q8semidirect
1212. C22⋊Q8C2×Q8semidirect
1227. C4×Q8C2×Q8semidirect
1234. #117C2×Q8semidirect
1238. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599272
#594772
#522872
#512212
#509082
#506992
#479872
#479762
#479672
#477272
#468472
#457952
#457942
#449502
#443872
#443532
#443172
#431352
#420082
#420072
#420012
#406282
#399742
#397112
#397062
#397032
#396242
#396232
#384582
#384542
#384462
#373082
#371352
#362772
#358152
#355782
#351762
#345072
#343142