Finite Group Databasebeta

← #7649317

Subgroups — #7649317

Order 512.

4272 conjugacy classes of subgroups.

The subgroup lattice has 2023 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42189C212yesmaximal, complemented
2#42183C212yesmaximal, complemented
3#42181C212yesmaximal, complemented
4#42180C212yesmaximal
5#42005C212yesmaximal, complemented
6#42004C212yesmaximal, complemented
7#40635C212yesmaximal, complemented
8#40633C212yesmaximal, complemented
9#40625C212yesmaximal, complemented
10#40624C212yesmaximal, complemented
11#40620C212yesmaximal, complemented
12#40618C212yesmaximal, complemented
13#39970C212yesmaximal, complemented
14#39966C212yesmaximal, complemented
15#39177C212yesmaximal, complemented
16#39175C212yesmaximal, complemented
17#38459C212yesmaximal, complemented
18#38451C212yesmaximal, complemented
19#38447C211yesmaximal, characteristic, complemented
20#38446C211yesmaximal, characteristic, complemented
21#38445C211yesmaximal, characteristic
22#38444C211yesmaximal, characteristic
23#38440C212yesmaximal, complemented
24#38106C212yesmaximal, complemented
25#38103C212yesmaximal, complemented
26#37874C212yesmaximal, complemented
27#35403C212yesmaximal, complemented
28#35399C212yesmaximal, complemented
29#35398C212yesmaximal, complemented
30#35018C212yesmaximal, complemented
31#35013C211yesmaximal, characteristic, complemented
32#34840C212yesmaximal, complemented
33C2×#2511C211yesmaximal, characteristic, complemented
34#34260C212yesmaximal
35#34252C211yesmaximal, characteristic
36C2×#520C2211yescharacteristic
37#2864C2212yes—
38#2863C2212yes—
39#2855C2212yes—
40#2855C2211yescharacteristic
41#2855C2211yescharacteristic
42#2851C2212yes—
43#2851C2212yes—
44#2844C2212yes—
45#2844C2212yes—
46#2843C2212yes—
47#2843C2212yes—
48#2841C2212yes—
49#2841C2212yes—
50#2841C2212yes—
51#2841C2212yes—
52#2811C2211yescharacteristic
53#2809C2211yescharacteristic
54#2809C2212yes—
55#2807C2212yes—
56#2806C2212yes—
57#2806C2211yescharacteristic
58#2806C2212yes—
59#2806C2211yescharacteristic
60#2806C2211yescharacteristic
61#2806C2211yescharacteristic
62#2805C2212yes—
63#2805C2212yes—
64#2805C2211yescharacteristic
65#2805C2211yescharacteristic
66#2805C2212yes—
67#2804C2211yescharacteristic
68#2804C2212yes—
69#2802C2212yes—
70#2802C2212yes—
71#2802C2212yes—
72#2802C2212yes—
73#2799C2212yes—
74#2799C2212yes—
75#2799C2212yes—
76#2799C2212yes—
77#2792C2212yes—
78#2792C2212yes—
79#2792C2212yes—
80#2791C2212yes—
81#2791C2212yes—
82#2791C2212yes—
83#2790C2212yes—
84#2790C2212yes—
85#2790C2212yes—
86#2788C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2784C2212yes—
90#2780C2212yes—
91#2780C2212yes—
92#2780C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2774C2212yes—
96#2774C2212yes—
97#2774C2212yes—
98#2763C2212yes—
99#2763C2212yes—
100#2755C2212yes—
101#2755C2212yes—
102#2755C2212yes—
103#2755C2212yes—
104#2755C2212yes—
105#2742C2212yes—
106#2734C2211yescharacteristic
107#2734C2211yescharacteristic
108#2732C2211yescharacteristic
109#2732C2211yescharacteristic
110#2729C2212yes—
111#2729C2212yes—
112#2726C2211yescharacteristic
113#2726C2211yescharacteristic
114#2720C2212yes—
115#2720C2212yes—
116#2720C2212yes—
117#2713C2212yes—
118#2713C2212yes—
119#2713C2212yes—
120#2713C2212yes—
121#2704C2212yes—
122#2692C2212yes—
123#2683C2211yescharacteristic
124#2667C2212yes—
125#2667C2212yes—
126#2666C2212yes—
127#2666C2212yes—
128#2666C2212yes—
129#2666C2212yes—
130#2666C2212yes—
131#2666C2212yes—
132#2666C2212yes—
133#2666C2212yes—
134#2666C2212yes—
135#2666C2212yes—
136#2665C2212yes—
137#2665C2212yes—
138#2665C2212yes—
139#2665C2212yes—
140#2665C2212yes—
141#2665C2212yes—
142#2660C2212yes—
143#2659C2211yescharacteristic
144#2659C2211yescharacteristic
145#2647C2212yes—
146#2647C2212yes—
147#2647C2212yes—
148#2646C2212yes—
149#2646C2212yes—
150#2646C2212yes—
151#2629C2212yes—
152#2628C2212yes—
153#2627C2212yes—
154#2627C2212yes—
155#2612C2212yes—
156#2612C2212yes—
157#2612C2212yes—
158#2612C2212yes—
159#2608C2212yes—
160#2608C2212yes—
161#2607C2212yes—
162#2607C2212yes—
163#2606C2212yes—
164#2606C2212yes—
165#2605C2212yes—
166#2605C2212yes—
167#2605C2212yes—
168#2605C2212yes—
169#2605C2212yes—
170#2605C2212yes—
171#2590C2212yes—
172#2590C2212yes—
173#2590C2212yes—
174#2590C2212yes—
175#2590C2212yes—
176#2589C2212yes—
177#2589C2212yes—
178#2589C2212yes—
179#2588C2212yes—
180#2588C2212yes—
181#2588C2212yes—
182#2588C2212yes—
183#2588C2212yes—
184#2587C2212yes—
185#2587C2212yes—
186#2587C2212yes—
187#2586C2212yes—
188#2586C2212yes—
189#2586C2212yes—
190#2586C2212yes—
191#2586C2212yes—
192#2586C2212yes—
193#2585C2212yes—
194#2585C2212yes—
195#2585C2212yes—
196#2585C2212yes—
197#2585C2212yes—
198#2585C2212yes—
199#2583C2212yes—
200#2583C2212yes—
201#2583C2212yes—
202#2579C2212yes—
203#2579C2212yes—
204#2579C2212yes—
205#2574C2212yes—
206#2574C2212yes—
207#2571C2212yes—
208#2570C2212yes—
209#2570C2212yes—
210#2570C2212yes—
211#2569C2212yes—
212#2569C2212yes—
213#2569C2212yes—
214#2569C2212yes—
215#2564C2212yes—
216#2564C2212yes—
217#2564C2212yes—
218#2556C2212yes—
219#2556C2212yes—
220#2552C2212yes—
221#2550C2212yes—
222#2550C2212yes—
223#2550C2212yes—
224#2549C2212yes—
225#2549C2212yes—
226#2549C2212yes—
227#2549C2212yes—
228#2549C2212yes—
229#2549C2212yes—
230#2549C2212yes—
231#2522C2212yes—
232#2520C2212yes—
233#2520C2212yes—
234#2520C2212yes—
235#2520C2212yes—
236#2520C2212yes—
237#2520C2212yes—
238#2520C2212yes—
239#2511C2212yes—
240#2511C2212yes—
241#2511C2212yes—
242#2511C2212yes—
243#2511C2212yes—
244#2511C2212yes—
245#2511C2212yes—
246#2511C2212yes—
247#2511C2212yes—
248#2507C2212yes—
249#2505C2212yes—
250#2505C2212yes—
251#2505C2212yes—
252#2505C2212yes—
253#2505C2212yes—
254#2497C2212yes—
255#2492C2212yes—
256#2473C2212yes—
257#2473C2212yes—
258#2473C2212yes—
259#2465C2212yes—
260#2465C2212yes—
261#2465C2212yes—
262#2462C2212yes—
263#2462C2212yes—
264#2462C2212yes—
265#2462C2212yes—
266#2462C2212yes—
267#2451C2212yes—
268#2451C2212yes—
269#2450C2212yes—
270#2450C2212yes—
271#2450C2212yes—
272#2450C2212yes—
273#2450C2212yes—
274#2449C2212yes—
275#2449C2212yes—
276#2449C2212yes—
277#2446C2212yes—
278#2446C2212yes—
279#2442C2212yes—
280#2442C2212yes—
281#2441C2212yes—
282#2440C2212yes—
283#2440C2212yes—
284#2440C2212yes—
285#2439C2212yes—
286#2439C2212yes—
287#2439C2212yes—
288#2438C2212yes—
289#2438C2212yes—
290#2438C2212yes—
291#2438C2212yes—
292#2438C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2438C2212yes—
296#2434C2212yes—
297#2417C2212yes—
298#2409C2212yes—
299#2402C2212yes—
300#2399C2212yes—
301#2396C2212yes—
302#2396C2212yes—
303C2×#400C2212yes—
304C2×#400C2212yes—
305#2357C2212yes—
306#2356C2212yes—
307#2356C2212yes—
308#2355C2212yes—
309#2355C2212yes—
310#2354C2212yes—
311#2353C2212yes—
312#2353C2212yes—
313#2352C2212yes—
314#2352C2212yes—
315#2349C2212yes—
316D4×C4⋊C4C2212yes—
317#2347C2212yes—
318#2346C2212yes—
319#2345C2212yes—
320#2345C2212yes—
321#2344C2212yes—
322#2344C2212yes—
323#2343C2212yes—
324#2343C2212yes—
325#2343C2212yes—
326#2343C2212yes—
327#2339C2212yes—
328#2339C2212yes—
329#2331C2212yes—
330#2331C2212yes—
331#2330C2212yes—
332#2330C2212yes—
333#2329C2212yes—
334#2329C2212yes—
335#2329C2212yes—
336#2329C2212yes—
337#2329C2212yes—
338#2329C2211yescharacteristic
339#2329C2211yescharacteristic
340#2320C2212yes—
341#2318C2212yes—
342#2318C2212yes—
343#2318C2212yes—
344#2318C2212yes—
345#2317C2211yescharacteristic
346#2317C2212yes—
347#2314C2212yes—
348#2313C2212yes—
349#2313C2212yes—
350#2311C2211yescharacteristic
351C4×#125C2212yes—
352C4×C22⋊Q8C2212yes—
353C4×C22⋊Q8C2212yes—
354C4×C22⋊Q8C2212yes—
355C4×C22⋊Q8C2212yes—
356#2298C2212yes—
357#2297C2211yescharacteristic
358#2296C2212yes—
359#2296C2211yescharacteristic
360#2295C2212yes—
361#2295C2212yes—
362C2×#391C2211yescharacteristic
363C2×#391C2211yescharacteristic
364C2×#391C2211yescharacteristic
365C2×#389C2211yescharacteristic
366#2290C2212yes—
367#2290C2212yes—
368#2290C2212yes—
369#2290C2212yes—
370C2×#387C2212yes—
371C2×#387C2212yes—
372C2×#387C2212yes—
373C2×#384C2211yescharacteristic
374#2275C2212yes—
375#2274C2211yescharacteristic
376C42×D4C2212yes—
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C2×C4⋊Q8C2312yes—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×#125C2312yes—
386C2×#125C2312yes—
387C2×#125C2312yes—
388C2×#125C2312yes—
389C2×#125C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403#520Q8116yescomplemented
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2312yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437C22×C42C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
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#399C2312yes—
491#399C2312yes—
492#399C2312yes—
493#399C2312yes—
494#399C2312yes—
495#399C2312yes—
496#398C2312yes—
497#398C2312yes—
498#398C2312yes—
499#398C2312yes—
500#398C2312yes—
501#398C2312yes—
502#398C2312yes—
503#398C2312yes—
504#398C2312yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
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#396C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#395C2312yes—
581#395C2312yes—
582#395C2312yes—
583#395C2312yes—
584#395C2312yes—
585#395C2312yes—
586#395C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#393C2312yes—
621#393C2312yes—
622#393C2312yes—
623#393C2312yes—
624#393C2312yes—
625#393C2312yes—
626#393C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2311yescharacteristic
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2311yescharacteristic
648#391C2311yescharacteristic
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2311yescharacteristic
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#391C2311yescharacteristic
669#391C2311yescharacteristic
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2312yes—
686#390C2312yes—
687#390C2311yescharacteristic
688#390C2311yescharacteristic
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2311yescharacteristic
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2311yescharacteristic
729#389C2311yescharacteristic
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2311yescharacteristic
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#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2312yes—
753#389C2311yescharacteristic
754#389C2312yes—
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#387C2312yes—
779#387C2312yes—
780#387C2312yes—
781#387C2312yes—
782#387C2312yes—
783#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
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#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#385C2312yes—
913#385C2312yes—
914#385C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#384C2312yes—
957#384C2312yes—
958#384C2312yes—
959#384C2312yes—
960#384C2312yes—
961#384C2312yes—
962#384C2312yes—
963#384C2312yes—
964#383C2312yes—
965#383C2312yes—
966#383C2312yes—
967#383C2312yes—
968#383C2312yes—
969#383C2312yes—
970#382C2312yes—
971#382C2312yes—
972#382C2312yes—
973#382C2312yes—
974#382C2312yes—
975#382C2312yes—
976#382C2312yes—
977#382C2312yes—
978#382C2312yes—
979#382C2312yes—
980#382C2312yes—
981#382C2312yes—
982#382C2312yes—
983#382C2312yes—
984#382C2312yes—
985#381C2312yes—
986#381C2312yes—
987#381C2312yes—
988#381C2312yes—
989#381C2312yes—
990#381C2312yes—
991#381C2312yes—
992#381C2312yes—
993#380C2311yescharacteristic
994#380C2312yes—
995#380C2312yes—
996#380C2312yes—
997#380C2312yes—
998#380C2312yes—
999#380C2312yes—
1000#380C2312yes—
1001#380C2312yes—
1002#380C2312yes—
1003#380C2312yes—
1004#380C2312yes—
1005#380C2312yes—
1006#380C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2311yescharacteristic
1017#380C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077#376C2312yes—
1078#376C2312yes—
1079#376C2312yes—
1080#376C2312yes—
1081#376C2312yes—
1082#376C2312yes—
1083#376C2312yes—
1084C2×#95C2312yes—
1085C2×#95C2312yes—
1086C2×#95C2312yes—
1087C2×#95C2312yes—
1088C2×#95C2312yes—
1089C2×#95C2312yes—
1090C2×#95C2312yes—
1091C2×#95C2311yescharacteristic
1092C2×#95C2311yescharacteristic
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C43C2312yes—
1099C2×#41—42no—
1100C2×#41—42no—
1101C2×#41C2×Q818yes—
1102C22×Q8—42no—
1103C22×Q8—42no—
1104C22×Q8—42no—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138C4⋊Q8—82no—
1139C4⋊Q8—82no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—82no—
1144#125—82no—
1145C22⋊Q8—44no—
1146C22⋊Q8—44no—
1147C22⋊Q8—44no—
1148C22⋊Q8—44no—
1149C22⋊Q8—42no—
1150C22⋊Q8—42no—
1151C22⋊Q8—44no—
1152C22⋊Q8—44no—
1153C22⋊Q8—44no—
1154C22⋊Q8—44no—
1155C22⋊Q8—44no—
1156C22⋊Q8—82no—
1157C22⋊Q8—82no—
1158C4×Q8—44no—
1159C4×Q8—82no—
1160C4×Q8—82no—
1161C4×Q8C2×Q8116yescomplemented
1162C4×D4—44no—
1163C4×D4—44no—
1164C4×D4—44no—
1165C4×D4—44no—
1166C4×D4C2×Q8116yes—
1167C4×D4C2×Q8116yes—
1168C4×D4C2×Q8116yescomplemented
1169#117—44no—
1170#117—44no—
1171#117—42no—
1172#117—42no—
1173#117—82no—
1174#117—82no—
1175#117C2×Q818yes—
1176#117C2×Q8116yescomplemented
1177C2×C4⋊C4—42no—
1178C2×C4⋊C4—42no—
1179C2×C4⋊C4—42no—
1180C2×C4⋊C4—42no—
1181C2×C4⋊C4—44no—
1182C2×C4⋊C4—82no—
1183C2×C4⋊C4—82no—
1184C2×C4⋊C4—82no—
1185C2×C4⋊C4C2×Q818yes—
1186C2×C4⋊C4C2×Q8116yescomplemented
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2411yescharacteristic
1224C2×C4⋊C4C2411yescharacteristic
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C42—42no—
1331C2×C42—42no—
1332C2×C42—42no—
1333C2×C42—82no—
1334C2×C42—82no—
1335C2×C42C2412yes—
1336C2×C42C2412yes—
1337C2×C42C2412yes—
1338C2×C42C2412yes—
1339C2×C42C2412yes—
1340C2×C42C2412yes—
1341C2×C42C2412yes—
1342C2×C42C2412yes—
1343C2×C42C2412yes—
1344C2×C42C2412yes—
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2412yes—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2411yescharacteristic
1364C2×C42C2411yescharacteristic
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2411yescharacteristic
1368C2×C42C2411yescharacteristic
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372#95C2412yes—
1373#95C2412yes—
1374#95C2412yes—
1375#95C2412yes—
1376#95C2412yes—
1377#95C2412yes—
1378#95C2412yes—
1379#95C2412yes—
1380#95C2412yes—
1381#95C2412yes—
1382#95C2412yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
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#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#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504C24C2512yes—
1505C24C2511yescharacteristic
1506#41—416no—
1507C2×Q8—22no—
1508C2×Q8—24no—
1509C2×Q8—22no—
1510C2×Q8—41no—
1511C2×Q8—41no—
1512C2×Q8—42no—
1513C2×Q8—42no—
1514C2×Q8—42no—
1515C2×Q8—42no—
1516C2×Q8—42no—
1517C2×Q8—42no—
1518C2×Q8—42no—
1519C2×Q8—42no—
1520C2×Q8—41no—
1521C2×Q8—42no—
1522C2×Q8—41no—
1523C2×Q8—41no—
1524C2×Q8—41no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—41no—
1528C2×Q8—41no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—41no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—41no—
1539C2×Q8—88no—
1540C2×Q8C22×Q814yes—
1541C2×D4—24no—
1542C2×D4—24no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4C22×Q818yes—
1546C2×D4C22×Q814yes—
1547C22×C4—22no—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—22no—
1551C22×C4—22no—
1552C22×C4—22no—
1553C22×C4—22no—
1554C22×C4—24no—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—22no—
1558C22×C4—24no—
1559C22×C4—41no—
1560C22×C4—41no—
1561C22×C4—41no—
1562C22×C4—41no—
1563C22×C4—42no—
1564C22×C4—41no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—41no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—41no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4C22×Q814yes—
1596C22×C4C22×Q814yes—
1597C22×C4C22×Q814yes—
1598C22×C4C22×Q818yes—
1599C22×C4C22×Q818yes—
1600C22×C4C22×Q818yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2511yescharacteristic
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2511yescharacteristic
1633C22×C4C2511yescharacteristic
1634C4⋊C4—22no—
1635C4⋊C4—24no—
1636C4⋊C4—22no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—42no—
1644C4⋊C4—41no—
1645C4⋊C4—42no—
1646C4⋊C4—41no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—41no—
1650C4⋊C4—41no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—41no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—41no—
1677C4⋊C4—42no—
1678C4⋊C4—41no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—41no—
1683C4⋊C4—41no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
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⋊C4C22×Q818yes—
1743C4⋊C4C22×Q818yes—
1744C4⋊C4C22×Q814yes—
1745C4⋊C4C22×Q818yes—
1746C4⋊C4C22×Q818yes—
1747C4⋊C4C22×Q814yes—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4C22×Q818yes—
1775C22⋊C4C22×Q818yes—
1776C22⋊C4C22×Q818yes—
1777C42—24no—
1778C42—24no—
1779C42—42no—
1780C42—42no—
1781C42—41no—
1782C42—41no—
1783C42—41no—
1784C42—41no—
1785C42—42no—
1786C42—42no—
1787C42—42no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42C22×Q818yes—
1812C42C22×Q818yes—
1813C42C22×Q818yes—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23C23×Q814yes—
1825C23C23×Q812yes—
1826C23#58512yes—
1827C23#58512yes—
1828C23C2611yescharacteristic
1829Q8—44no—
1830Q8—82no—
1831Q8—84no—
1832Q8—82no—
1833Q8—84no—
1834Q8—84no—
1835Q8—84no—
1836Q8—162no—
1837Q8—161no—
1838Q8—161no—
1839Q8—162no—
1840D4—216no—
1841D4—44no—
1842C2×C4—28no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—28no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—44no—
1935C2×C4—44no—
1936C2×C4—48no—
1937C2×C4—48no—
1938C2×C4—48no—
1939C2×C4—44no—
1940C2×C4—84no—
1941C2×C4—82no—
1942C2×C4—82no—
1943C2×C4—84no—
1944C2×C4—84no—
1945C2×C4—84no—
1946C2×C4—84no—
1947C2×C4—84no—
1948C2×C4—162no—
1949C2×C4—162no—
1950C2×C4C23×Q814yes—
1951C2×C4C23×Q812yes—
1952C2×C4C23×Q814yes—
1953C2×C4C23×Q814yes—
1954C2×C4C23×Q814yes—
1955C2×C4C23×Q814yes—
1956C2×C4C23×Q812yes—
1957C2×C4#58512yes—
1958C2×C4#58512yes—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—24no—
1966C22—24no—
1967C22—24no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22#345814yes—
1973C22C24×Q811yescharacteristic
1974C22C2×#58511yescharacteristic
1975C22C2×#58511yescharacteristic
1976C22C2×#58511yescharacteristic
1977C22C2×#58511yescharacteristic
1978C22H(7,𝔽2)11yescharacteristic
1979C222−1+611yescharacteristic
1980C4—24no—
1981C4—24no—
1982C4—24no—
1983C4—24no—
1984C4—22no—
1985C4—22no—
1986C4—22no—
1987C4—22no—
1988C4—24no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—41no—
1997C4—41no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C2—24no—
2014C2—44no—
2015C2C2×#345811yescharacteristic
2016C2#6282611yescharacteristic
2017C2#6286911yescharacteristic
2018C2#6290711yescharacteristic
2019C2#6296511yescharacteristic
2020C2#6298911yescharacteristic
2021C2#6300411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42189C2semidirect
2. #42183C2semidirect
3. #42181C2semidirect
5. #42005C2semidirect
6. #42004C2semidirect
7. #40635C2semidirect
8. #40633C2semidirect
9. #40625C2semidirect
10. #40624C2semidirect
11. #40620C2semidirect
12. #40618C2semidirect
13. #39970C2semidirect
14. #39966C2semidirect
15. #39177C2semidirect
16. #39175C2semidirect
17. #38459C2semidirect
18. #38451C2semidirect
19. #38447C2semidirect
20. #38446C2semidirect
23. #38440C2semidirect
24. #38106C2semidirect
25. #38103C2semidirect
26. #37874C2semidirect
27. #35403C2semidirect
28. #35399C2semidirect
29. #35398C2semidirect
30. #35018C2semidirect
31. #35013C2semidirect
32. #34840C2semidirect
33. C2×#2511C2semidirect
403. #520Q8semidirect
1161. C4×Q8C2×Q8semidirect
1168. C4×D4C2×Q8semidirect
1176. #117C2×Q8semidirect
1186. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#421892
#421832
#421812
#421802
#420052
#420042
#406352
#406332
#406252
#406242
#406202
#406182
#399702
#399662
#391772
#391752
#384592
#384512
#384472
#384462
#384452
#384442
#384402
#381062
#381032
#378742
#354032
#353992
#353982
#350182
#350132
#348402
C2×#25112
#342602
#342522