Finite Group Databasebeta

← #7732449

Subgroups — #7732449

Order 512.

4258 conjugacy classes of subgroups.

The subgroup lattice has 2116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51217C212yesmaximal, complemented
2#51078C212yesmaximal, complemented
3#50905C212yesmaximal, complemented
4#50703C212yesmaximal, complemented
5#47774C212yesmaximal, complemented
6#47773C212yesmaximal, complemented
7#47730C212yesmaximal, complemented
8#47729C212yesmaximal, complemented
9#44477C212yesmaximal, complemented
10#44477C212yesmaximal, complemented
11#43981C212yesmaximal, complemented
12#43981C212yesmaximal, complemented
13#39987C212yesmaximal, complemented
14#39970C212yesmaximal, complemented
15#39679C211yesmaximal, characteristic, complemented
16#39676C211yesmaximal, characteristic, complemented
17#39671C211yesmaximal, characteristic
18#39668C211yesmaximal, characteristic
19#39640C211yesmaximal, characteristic, complemented
20#39636C211yesmaximal, characteristic, complemented
21#39632C211yesmaximal, characteristic
22#39627C211yesmaximal, characteristic
23#38459C212yesmaximal, complemented
24#38449C212yesmaximal, complemented
25#38440C212yesmaximal, complemented
26#38440C212yesmaximal, complemented
27#37562C211yesmaximal, characteristic, complemented
28#37197C212yesmaximal, complemented
29#36755C212yesmaximal, complemented
30#36281C212yesmaximal, complemented
31#36239C212yesmaximal, complemented
32#35643C212yesmaximal, complemented
33#35399C212yesmaximal, complemented
34#35304C211yesmaximal, characteristic, complemented
35#35181C211yesmaximal, characteristic, complemented
36C2×#2605C211yesmaximal, characteristic, complemented
37#34401C211yesmaximal, characteristic
38#34220C211yesmaximal, characteristic
39#34083C211yesmaximal, characteristic
40C2×#529C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2851C2211yescharacteristic
50#2851C2211yescharacteristic
51#2843C2212yes—
52#2843C2212yes—
53#2809C2212yes—
54#2806C2212yes—
55#2806C2212yes—
56#2806C2212yes—
57#2806C2212yes—
58#2805C2212yes—
59#2805C2212yes—
60#2805C2212yes—
61#2805C2212yes—
62#2804C2212yes—
63#2802C2212yes—
64#2802C2212yes—
65#2802C2212yes—
66#2802C2212yes—
67#2799C2212yes—
68#2799C2212yes—
69#2792C2212yes—
70#2792C2212yes—
71#2792C2212yes—
72#2792C2212yes—
73#2791C2212yes—
74#2791C2212yes—
75#2791C2212yes—
76#2791C2212yes—
77#2790C2212yes—
78#2790C2212yes—
79#2790C2212yes—
80#2790C2212yes—
81#2788C2212yes—
82#2788C2212yes—
83#2788C2212yes—
84#2788C2212yes—
85#2788C2212yes—
86#2788C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2788C2212yes—
90#2784C2212yes—
91#2780C2212yes—
92#2774C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2774C2212yes—
96#2774C2212yes—
97#2774C2212yes—
98#2774C2212yes—
99#2774C2212yes—
100#2774C2212yes—
101#2763C2212yes—
102#2763C2212yes—
103#2763C2212yes—
104#2763C2212yes—
105#2763C2212yes—
106#2763C2212yes—
107#2763C2212yes—
108#2755C2212yes—
109#2755C2212yes—
110#2755C2212yes—
111#2755C2212yes—
112#2755C2212yes—
113#2755C2212yes—
114#2755C2212yes—
115#2742C2212yes—
116#2742C2212yes—
117#2729C2212yes—
118#2729C2212yes—
119#2729C2212yes—
120#2729C2212yes—
121#2729C2212yes—
122#2720C2212yes—
123#2720C2212yes—
124#2713C2212yes—
125#2713C2212yes—
126#2713C2212yes—
127#2713C2212yes—
128#2713C2212yes—
129#2704C2212yes—
130#2704C2212yes—
131#2704C2212yes—
132#2692C2212yes—
133#2666C2212yes—
134#2666C2212yes—
135#2666C2212yes—
136#2666C2212yes—
137#2666C2212yes—
138#2666C2212yes—
139#2665C2212yes—
140#2665C2212yes—
141#2660C2211yescharacteristic
142#2660C2211yescharacteristic
143#2659C2211yescharacteristic
144#2659C2211yescharacteristic
145#2647C2211yescharacteristic
146#2647C2211yescharacteristic
147#2646C2211yescharacteristic
148#2646C2211yescharacteristic
149#2646C2211yescharacteristic
150#2646C2211yescharacteristic
151#2646C2211yescharacteristic
152#2646C2211yescharacteristic
153#2612C2212yes—
154#2612C2212yes—
155#2612C2212yes—
156#2612C2212yes—
157#2608C2212yes—
158#2607C2212yes—
159#2606C2212yes—
160#2606C2212yes—
161#2606C2212yes—
162#2605C2212yes—
163#2605C2212yes—
164#2605C2212yes—
165#2605C2212yes—
166#2605C2212yes—
167#2605C2212yes—
168#2605C2212yes—
169#2605C2212yes—
170#2605C2212yes—
171#2605C2212yes—
172#2605C2212yes—
173#2605C2212yes—
174#2605C2212yes—
175#2590C2212yes—
176#2589C2212yes—
177#2588C2212yes—
178#2588C2212yes—
179#2588C2212yes—
180#2588C2212yes—
181#2587C2212yes—
182#2587C2212yes—
183#2586C2212yes—
184#2586C2212yes—
185#2586C2212yes—
186#2586C2212yes—
187#2585C2212yes—
188#2585C2212yes—
189#2585C2212yes—
190#2583C2212yes—
191#2583C2212yes—
192#2583C2212yes—
193#2583C2212yes—
194#2581C2212yes—
195#2579C2212yes—
196#2579C2212yes—
197#2579C2212yes—
198#2574C2212yes—
199#2574C2212yes—
200#2574C2212yes—
201#2574C2212yes—
202#2571C2212yes—
203#2571C2212yes—
204#2570C2212yes—
205#2570C2212yes—
206#2570C2212yes—
207#2570C2212yes—
208#2570C2212yes—
209#2570C2212yes—
210#2569C2212yes—
211#2569C2212yes—
212#2569C2212yes—
213#2569C2212yes—
214#2568C2212yes—
215#2567C2212yes—
216#2567C2212yes—
217#2556C2212yes—
218#2552C2212yes—
219#2552C2212yes—
220#2550C2212yes—
221#2550C2212yes—
222#2550C2212yes—
223#2549C2212yes—
224#2549C2212yes—
225#2549C2212yes—
226#2546C2212yes—
227#2522C2212yes—
228#2522C2212yes—
229#2520C2212yes—
230#2520C2212yes—
231#2520C2212yes—
232#2520C2212yes—
233#2520C2212yes—
234#2511C2212yes—
235#2511C2212yes—
236#2511C2212yes—
237#2511C2212yes—
238#2509C2212yes—
239#2509C2212yes—
240#2509C2212yes—
241#2509C2212yes—
242#2508C2212yes—
243#2508C2212yes—
244#2508C2212yes—
245#2508C2212yes—
246#2507C2212yes—
247#2506C2212yes—
248#2505C2212yes—
249#2505C2212yes—
250#2505C2212yes—
251#2505C2212yes—
252#2505C2212yes—
253#2505C2212yes—
254#2505C2212yes—
255#2505C2212yes—
256#2505C2212yes—
257#2505C2212yes—
258#2505C2212yes—
259#2505C2212yes—
260#2505C2212yes—
261#2502C2212yes—
262#2497C2212yes—
263#2497C2212yes—
264#2492C2212yes—
265#2473C2212yes—
266#2473C2212yes—
267#2473C2212yes—
268#2473C2212yes—
269#2473C2212yes—
270#2465C2212yes—
271#2465C2212yes—
272#2465C2212yes—
273#2462C2212yes—
274#2462C2212yes—
275#2453C2212yes—
276#2451C2212yes—
277#2450C2212yes—
278#2450C2212yes—
279#2450C2212yes—
280#2450C2212yes—
281#2450C2212yes—
282#2450C2212yes—
283#2450C2212yes—
284#2450C2212yes—
285#2449C2212yes—
286#2449C2212yes—
287#2446C2212yes—
288#2440C2212yes—
289#2440C2212yes—
290#2439C2212yes—
291#2439C2212yes—
292#2438C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2438C2212yes—
296#2438C2212yes—
297#2438C2212yes—
298#2434C2212yes—
299#2434C2212yes—
300#2417C2212yes—
301#2409C2212yes—
302#2409C2212yes—
303C2×#400C2211yescharacteristic
304C2×#400C2211yescharacteristic
305C2×#395C2211yescharacteristic
306C2×#395C2211yescharacteristic
307#2383C2212yes—
308#2383C2212yes—
309#2373C2212yes—
310#2373C2212yes—
311#2368C2212yes—
312#2368C2212yes—
313#2360C2212yes—
314#2360C2212yes—
315#2359C2212yes—
316#2359C2212yes—
317#2359C2212yes—
318#2359C2212yes—
319#2353C2212yes—
320#2353C2212yes—
321#2349C2212yes—
322#2349C2212yes—
323#2349C2212yes—
324#2349C2212yes—
325D4×C4⋊C4C2212yes—
326D4×C4⋊C4C2212yes—
327#2347C2212yes—
328#2346C2212yes—
329#2343C2212yes—
330#2343C2212yes—
331#2337C2212yes—
332#2337C2212yes—
333#2336C2212yes—
334#2336C2212yes—
335#2334C2212yes—
336#2334C2212yes—
337#2331C2211yescharacteristic
338#2331C2212yes—
339#2331C2212yes—
340#2331C2211yescharacteristic
341#2330C2211yescharacteristic
342#2330C2211yescharacteristic
343#2330C2211yescharacteristic
344#2330C2211yescharacteristic
345#2329C2212yes—
346#2329C2211yescharacteristic
347#2329C2211yescharacteristic
348#2329C2212yes—
349#2329C2211yescharacteristic
350#2329C2211yescharacteristic
351#2326C2211yescharacteristic
352#2326C2211yescharacteristic
353#2325C2211yescharacteristic
354#2325C2211yescharacteristic
355#2325C2211yescharacteristic
356#2325C2211yescharacteristic
357#2322C2212yes—
358#2322C2212yes—
359#2320C2212yes—
360#2320C2211yescharacteristic
361#2319C2211yescharacteristic
362#2318C2212yes—
363#2317C2212yes—
364#2317C2212yes—
365C4×#125C2212yes—
366C4×C22⋊Q8C2212yes—
367C4×C22⋊Q8C2211yescharacteristic
368C4×C22⋊Q8C2211yescharacteristic
369C4×#121C2211yescharacteristic
370C4×#121C2211yescharacteristic
371#2298C2212yes—
372#2296C2212yes—
373#2295C2212yes—
374#2295C2212yes—
375C2×#391C2211yescharacteristic
376C2×#391C2211yescharacteristic
377C2×#391C2211yescharacteristic
378C2×#391C2211yescharacteristic
379#2290C2212yes—
380#2290C2212yes—
381C2×#387C2211yescharacteristic
382C2×#387C2211yescharacteristic
383C2×#387C2211yescharacteristic
384C2×#387C2211yescharacteristic
385C2×#387C2212yes—
386#2285C2211yescharacteristic
387#2285C2211yescharacteristic
388#2283C2211yescharacteristic
389C2×#383C2211yescharacteristic
390#2276C2211yescharacteristic
391#2275C2211yescharacteristic
392C42×D4C2212yes—
393C2×C4×C4⋊C4C2211yescharacteristic
394C2×#376C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403#529Q8116yescomplemented
404C2×#126C2312yes—
405C2×#125C2312yes—
406C2×#125C2311yescharacteristic
407C2×#125C2311yescharacteristic
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2311yescharacteristic
412C2×#124C2311yescharacteristic
413C2×#123C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459C22×C42C2312yes—
460C22×C42C2311yescharacteristic
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#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#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#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
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#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2311yescharacteristic
652#391C2311yescharacteristic
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#390C2311yescharacteristic
690#390C2311yescharacteristic
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#389C2312yes—
716#389C2311yescharacteristic
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2312yes—
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#389C2311yescharacteristic
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2311yescharacteristic
747#389C2311yescharacteristic
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#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#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#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
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#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#384C2312yes—
982#384C2312yes—
983#384C2312yes—
984#384C2312yes—
985#384C2312yes—
986#384C2312yes—
987#384C2311yescharacteristic
988#384C2311yescharacteristic
989#384C2311yescharacteristic
990#384C2311yescharacteristic
991#384C2311yescharacteristic
992#384C2311yescharacteristic
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2311yescharacteristic
1015#382C2312yes—
1016#382C2311yescharacteristic
1017#382C2311yescharacteristic
1018#382C2311yescharacteristic
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2311yescharacteristic
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2311yescharacteristic
1043#380C2312yes—
1044#380C2311yescharacteristic
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2311yescharacteristic
1060C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106#376C2311yescharacteristic
1107#376C2312yes—
1108#376C2311yescharacteristic
1109#376C2311yescharacteristic
1110#376C2311yescharacteristic
1111#376C2311yescharacteristic
1112#376C2312yes—
1113#376C2311yescharacteristic
1114#376C2312yes—
1115#376C2311yescharacteristic
1116#376C2311yescharacteristic
1117#376C2312yes—
1118C2×#95C2311yescharacteristic
1119C2×#95C2311yescharacteristic
1120C2×#95C2312yes—
1121C2×#95C2312yes—
1122C2×#95C2311yescharacteristic
1123C2×#95C2311yescharacteristic
1124C2×#95C2311yescharacteristic
1125C2×#95C2311yescharacteristic
1126C2×#95C2311yescharacteristic
1127C2×#95C2311yescharacteristic
1128C2×#95C2312yes—
1129C2×#95C2312yes—
1130C2×#95C2311yescharacteristic
1131C2×#95C2311yescharacteristic
1132C2×#95C2311yescharacteristic
1133C2×#95C2311yescharacteristic
1134C2×#95C2311yescharacteristic
1135C2×#95C2311yescharacteristic
1136C2×#95C2311yescharacteristic
1137C2×#95C2311yescharacteristic
1138C2×#95C2311yescharacteristic
1139C2×#95C2311yescharacteristic
1140C2×#95C2311yescharacteristic
1141C2×#95C2311yescharacteristic
1142C43C2312yes—
1143C22×Q8—42no—
1144C22×Q8—42no—
1145C22×Q8—42no—
1146C22×Q8—42no—
1147C22×Q8—81no—
1148C22×Q8—81no—
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×Q8C2412yes—
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×D4C2412yes—
1159C22×D4C2411yescharacteristic
1160C23×C4C2411yescharacteristic
1161C23×C4C2411yescharacteristic
1162C23×C4C2411yescharacteristic
1163C23×C4C2411yescharacteristic
1164C23×C4C2411yescharacteristic
1165C23×C4C2412yes—
1166C23×C4C2411yescharacteristic
1167C23×C4C2411yescharacteristic
1168C23×C4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2411yescharacteristic
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2411yescharacteristic
1181C23×C4C2411yescharacteristic
1182C4⋊Q8—42no—
1183C4⋊Q8—42no—
1184C4⋊Q8—44no—
1185C4⋊Q8—44no—
1186C4⋊Q8—82no—
1187C4⋊Q8—82no—
1188#126C2×Q8116yescomplemented
1189#125—42no—
1190#125—42no—
1191#125—44no—
1192#125—82no—
1193#125—82no—
1194#125—82no—
1195#125C2×Q818yescomplemented
1196#124C2×Q818yescomplemented
1197#123C2×Q8116yes—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—82no—
1206C22⋊Q8—82no—
1207C22⋊Q8—82no—
1208C22⋊Q8C2×Q818yes—
1209#121C2×Q818yes—
1210C4×Q8—42no—
1211C4×Q8—42no—
1212C4×Q8—44no—
1213C4×Q8—82no—
1214C4×Q8C2×Q818yescomplemented
1215C4×D4—42no—
1216C4×D4—42no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4C2×Q8116yes—
1224C4×D4C2×Q818yescomplemented
1225#117—44no—
1226#117—44no—
1227#117—82no—
1228#117C2×Q8116yescomplemented
1229C2×C4⋊C4—42no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4—42no—
1232C2×C4⋊C4—42no—
1233C2×C4⋊C4—42no—
1234C2×C4⋊C4—42no—
1235C2×C4⋊C4—42no—
1236C2×C4⋊C4—81no—
1237C2×C4⋊C4—82no—
1238C2×C4⋊C4—81no—
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⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊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⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C42—42no—
1381C2×C42—42no—
1382C2×C42—81no—
1383C2×C42—82no—
1384C2×C42—81no—
1385C2×C42C2×Q818yes—
1386C2×C42C2411yescharacteristic
1387C2×C42C2411yescharacteristic
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2411yescharacteristic
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
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×C42C2411yescharacteristic
1417C2×C42C2411yescharacteristic
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2411yescharacteristic
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427#95C2411yescharacteristic
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2411yescharacteristic
1432#95C2411yescharacteristic
1433#95C2411yescharacteristic
1434#95C2411yescharacteristic
1435#95C2411yescharacteristic
1436#95C2411yescharacteristic
1437#95C2411yescharacteristic
1438#95C2411yescharacteristic
1439#95C2411yescharacteristic
1440#95C2411yescharacteristic
1441#95C2411yescharacteristic
1442#95C2411yescharacteristic
1443#95C2411yescharacteristic
1444#95C2411yescharacteristic
1445#95C2411yescharacteristic
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—
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—
1567C24C2512yes—
1568C24C2511yescharacteristic
1569C2×Q8—24no—
1570C2×Q8—24no—
1571C2×Q8—24no—
1572C2×Q8—41no—
1573C2×Q8—41no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—42no—
1583C2×Q8—42no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—42no—
1593C2×Q8—42no—
1594C2×Q8—42no—
1595C2×Q8—88no—
1596C2×Q8—88no—
1597C2×Q8C22×Q814yes—
1598C2×D4—24no—
1599C2×D4—24no—
1600C2×D4—41no—
1601C2×D4—41no—
1602C2×D4C22×Q818yes—
1603C2×D4C22×Q814yes—
1604C22×C4—22no—
1605C22×C4—22no—
1606C22×C4—22no—
1607C22×C4—22no—
1608C22×C4—22no—
1609C22×C4—22no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—22no—
1613C22×C4—22no—
1614C22×C4—22no—
1615C22×C4—22no—
1616C22×C4—22no—
1617C22×C4—22no—
1618C22×C4—22no—
1619C22×C4—22no—
1620C22×C4—24no—
1621C22×C4—41no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—41no—
1626C22×C4—41no—
1627C22×C4—41no—
1628C22×C4—41no—
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—42no—
1638C22×C4—42no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—41no—
1645C22×C4—42no—
1646C22×C4—41no—
1647C22×C4—41no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4C22×Q814yes—
1667C22×C4C22×Q814yes—
1668C22×C4C22×Q814yes—
1669C22×C4C22×Q818yes—
1670C22×C4C2511yescharacteristic
1671C22×C4C2511yescharacteristic
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2511yescharacteristic
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2511yescharacteristic
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2511yescharacteristic
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2511yescharacteristic
1702C22×C4C2511yescharacteristic
1703C22×C4C2512yes—
1704C22×C4C2511yescharacteristic
1705C22×C4C2511yescharacteristic
1706C22×C4C2511yescharacteristic
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
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—42no—
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—42no—
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—41no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
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—42no—
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—41no—
1786C4⋊C4—41no—
1787C4⋊C4—41no—
1788C4⋊C4—41no—
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⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—41no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4C22×Q818yes—
1814C4⋊C4C22×Q818yes—
1815C4⋊C4C22×Q818yes—
1816C4⋊C4C22×Q814yes—
1817C4⋊C4C22×Q814yes—
1818C4⋊C4C22×Q818yes—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
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⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4C22×Q818yes—
1844C22⋊C4C22×Q818yes—
1845C22⋊C4C22×Q818yes—
1846C22⋊C4C22×Q818yes—
1847C22⋊C4C22×Q818yes—
1848C42—22no—
1849C42—22no—
1850C42—22no—
1851C42—22no—
1852C42—24no—
1853C42—41no—
1854C42—41no—
1855C42—41no—
1856C42—41no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
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—
1883C42—42no—
1884C42C22×Q814yes—
1885C42C22×Q814yes—
1886C42C22×Q814yes—
1887C42C22×Q814yes—
1888C42C22×Q818yes—
1889C23—21no—
1890C23—21no—
1891C23—21no—
1892C23—21no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23C23×Q814yes—
1900C23C23×Q812yes—
1901C23#58512yes—
1902C23#58512yes—
1903C23C2611yescharacteristic
1904Q8—44no—
1905Q8—84no—
1906Q8—84no—
1907Q8—84no—
1908Q8—84no—
1909Q8—84no—
1910Q8—84no—
1911Q8—162no—
1912Q8—162no—
1913D4—216no—
1914D4—44no—
1915C2×C4—22no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—28no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
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—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—21no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—21no—
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—21no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—21no—
2003C2×C4—22no—
2004C2×C4—21no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—44no—
2017C2×C4—44no—
2018C2×C4—48no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—84no—
2024C2×C4—82no—
2025C2×C4—82no—
2026C2×C4—82no—
2027C2×C4—82no—
2028C2×C4—82no—
2029C2×C4—82no—
2030C2×C4—82no—
2031C2×C4—82no—
2032C2×C4—84no—
2033C2×C4—84no—
2034C2×C4—84no—
2035C2×C4—162no—
2036C2×C4—162no—
2037C2×C4C23×Q812yes—
2038C2×C4C23×Q812yes—
2039C2×C4C23×Q812yes—
2040C2×C4C23×Q812yes—
2041C2×C4C23×Q812yes—
2042C2×C4C23×Q812yes—
2043C2×C4C23×Q814yes—
2044C2×C4C23×Q814yes—
2045C2×C4C23×Q814yes—
2046C2×C4#58512yes—
2047C2×C4#58512yes—
2048C22—22no—
2049C22—22no—
2050C22—22no—
2051C22—22no—
2052C22—22no—
2053C22—22no—
2054C22—24no—
2055C22—24no—
2056C22—24no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22#350414yes—
2062C22C24×Q811yescharacteristic
2063C22C2×#58511yescharacteristic
2064C22C2×#58511yescharacteristic
2065C22C2×#58511yescharacteristic
2066C22C2×#58511yescharacteristic
2067C22H(7,𝔽2)11yescharacteristic
2068C222−1+611yescharacteristic
2069C4—22no—
2070C4—22no—
2071C4—24no—
2072C4—22no—
2073C4—22no—
2074C4—24no—
2075C4—22no—
2076C4—24no—
2077C4—22no—
2078C4—22no—
2079C4—22no—
2080C4—41no—
2081C4—41no—
2082C4—42no—
2083C4—42no—
2084C4—41no—
2085C4—42no—
2086C4—41no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—41no—
2093C4—41no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C2—24no—
2107C2—44no—
2108C2C2×#350411yescharacteristic
2109C2#6281311yescharacteristic
2110C2#6285411yescharacteristic
2111C2#6291111yescharacteristic
2112C2#6291111yescharacteristic
2113C2#6293311yescharacteristic
2114C2#6293311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #51217C2semidirect
2. #51078C2semidirect
3. #50905C2semidirect
4. #50703C2semidirect
5. #47774C2semidirect
6. #47773C2semidirect
7. #47730C2semidirect
8. #47729C2semidirect
9. #44477C2semidirect
10. #44477C2semidirect
11. #43981C2semidirect
12. #43981C2semidirect
13. #39987C2semidirect
14. #39970C2semidirect
15. #39679C2semidirect
16. #39676C2semidirect
19. #39640C2semidirect
20. #39636C2semidirect
23. #38459C2semidirect
24. #38449C2semidirect
25. #38440C2semidirect
26. #38440C2semidirect
27. #37562C2semidirect
28. #37197C2semidirect
29. #36755C2semidirect
30. #36281C2semidirect
31. #36239C2semidirect
32. #35643C2semidirect
33. #35399C2semidirect
34. #35304C2semidirect
35. #35181C2semidirect
36. C2×#2605C2semidirect
403. #529Q8semidirect
1188. #126C2×Q8semidirect
1195. #125C2×Q8semidirect
1196. #124C2×Q8semidirect
1214. C4×Q8C2×Q8semidirect
1224. C4×D4C2×Q8semidirect
1228. #117C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#512172
#510782
#509052
#507032
#477742
#477732
#477302
#477292
#444772
#439812
#399872
#399702
#396792
#396762
#396712
#396682
#396402
#396362
#396322
#396272
#384592
#384492
#384402
#375622
#371972
#367552
#362812
#362392
#356432
#353992
#353042
#351812
C2×#26052
#344012
#342202
#340832