Finite Group Databasebeta

← #7642820

Subgroups — #7642820

Order 512.

4334 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#39971C212yesmaximal, complemented
2#39970C212yesmaximal, complemented
3#39969C212yesmaximal, complemented
4#39968C212yesmaximal, complemented
5#38455C211yesmaximal, characteristic, complemented
6#38454C211yesmaximal, characteristic, complemented
7#38453C211yesmaximal, characteristic, complemented
8#38452C211yesmaximal, characteristic, complemented
9#38451C212yesmaximal, complemented
10#38450C212yesmaximal, complemented
11#38449C212yesmaximal, complemented
12#38448C212yesmaximal
13#38447C211yesmaximal, characteristic, complemented
14#38446C211yesmaximal, characteristic, complemented
15#38445C211yesmaximal, characteristic
16#38444C211yesmaximal, characteristic
17#38443C212yesmaximal, complemented
18#38442C212yesmaximal, complemented
19#38441C212yesmaximal, complemented
20#38440C212yesmaximal, complemented
21#37197C212yesmaximal, complemented
22#37196C211yesmaximal, characteristic, complemented
23#37195C211yesmaximal, characteristic, complemented
24#37138C212yesmaximal, complemented
25#37137C211yesmaximal, characteristic, complemented
26#37136C211yesmaximal, characteristic, complemented
27#36635C211yesmaximal, characteristic, complemented
28C2×#2863C211yesmaximal, characteristic, complemented
29#35401C212yesmaximal, complemented
30#35400C212yesmaximal, complemented
31#35399C212yesmaximal, complemented
32#35398C212yesmaximal, complemented
33#35213C212yesmaximal, complemented
34#35213C212yesmaximal, complemented
35#35146C212yesmaximal, complemented
36#35146C212yesmaximal, complemented
37#35146C212yesmaximal, complemented
38#34195C212yesmaximal
39#34026C211yesmaximal, characteristic
40C2×C4×#41C2211yescharacteristic
41#2864C2212yes—
42#2863C2211yescharacteristic
43#2863C2211yescharacteristic
44#2863C2212yes—
45#2863C2212yes—
46#2863C2211yescharacteristic
47#2863C2211yescharacteristic
48#2863C2212yes—
49#2863C2211yescharacteristic
50#2863C2211yescharacteristic
51#2863C2211yescharacteristic
52#2863C2212yes—
53#2863C2211yescharacteristic
54#2863C2211yescharacteristic
55#2863C2212yes—
56#2863C2211yescharacteristic
57#2863C2212yes—
58#2863C2212yes—
59#2863C2212yes—
60#2863C2212yes—
61#2862C2211yescharacteristic
62#2859C2211yescharacteristic
63#2857C2211yescharacteristic
64#2857C2211yescharacteristic
65#2855C2211yescharacteristic
66#2855C2211yescharacteristic
67#2855C2212yes—
68#2851C2212yes—
69#2811C2211yescharacteristic
70#2809C2211yescharacteristic
71#2809C2212yes—
72#2807C2212yes—
73#2806C2211yescharacteristic
74#2806C2212yes—
75#2806C2211yescharacteristic
76#2806C2212yes—
77#2806C2211yescharacteristic
78#2806C2211yescharacteristic
79#2806C2212yes—
80#2805C2211yescharacteristic
81#2805C2212yes—
82#2805C2211yescharacteristic
83#2804C2211yescharacteristic
84#2802C2212yes—
85#2802C2212yes—
86#2802C2212yes—
87#2802C2212yes—
88#2799C2212yes—
89#2799C2212yes—
90#2799C2212yes—
91#2792C2212yes—
92#2792C2212yes—
93#2792C2212yes—
94#2792C2212yes—
95#2791C2212yes—
96#2791C2212yes—
97#2791C2212yes—
98#2791C2212yes—
99#2790C2212yes—
100#2790C2212yes—
101#2788C2212yes—
102#2788C2212yes—
103#2784C2212yes—
104#2780C2212yes—
105#2780C2212yes—
106#2774C2212yes—
107#2774C2212yes—
108#2774C2212yes—
109#2774C2212yes—
110#2768C2212yes—
111#2768C2212yes—
112#2763C2212yes—
113#2755C2212yes—
114#2755C2212yes—
115#2755C2212yes—
116#2755C2212yes—
117#2748C2212yes—
118#2742C2212yes—
119#2734C2211yescharacteristic
120#2734C2212yes—
121#2734C2211yescharacteristic
122#2732C2211yescharacteristic
123#2732C2211yescharacteristic
124#2729C2212yes—
125#2729C2212yes—
126#2726C2211yescharacteristic
127#2726C2212yes—
128#2726C2211yescharacteristic
129#2720C2212yes—
130#2720C2212yes—
131#2713C2212yes—
132#2713C2212yes—
133#2713C2212yes—
134#2713C2212yes—
135#2704C2212yes—
136#2704C2212yes—
137#2692C2212yes—
138#2692C2212yes—
139#2683C2211yescharacteristic
140#2677C2212yes—
141#2667C2212yes—
142#2667C2212yes—
143#2667C2212yes—
144#2667C2212yes—
145#2666C2212yes—
146#2666C2212yes—
147#2666C2212yes—
148#2666C2212yes—
149#2666C2212yes—
150#2666C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2666C2212yes—
156#2666C2212yes—
157#2665C2212yes—
158#2665C2212yes—
159#2665C2212yes—
160#2665C2212yes—
161#2612C2212yes—
162#2612C2212yes—
163#2612C2212yes—
164#2612C2212yes—
165#2612C2212yes—
166#2612C2212yes—
167#2612C2212yes—
168#2612C2212yes—
169#2608C2212yes—
170#2608C2212yes—
171#2608C2212yes—
172#2608C2212yes—
173#2607C2212yes—
174#2607C2212yes—
175#2607C2212yes—
176#2607C2212yes—
177#2606C2212yes—
178#2606C2212yes—
179#2606C2212yes—
180#2606C2212yes—
181#2606C2212yes—
182#2606C2212yes—
183#2606C2212yes—
184#2606C2212yes—
185#2606C2212yes—
186#2606C2212yes—
187#2606C2212yes—
188#2606C2212yes—
189#2605C2212yes—
190#2605C2212yes—
191#2605C2212yes—
192#2605C2212yes—
193#2605C2212yes—
194#2605C2212yes—
195#2605C2212yes—
196#2605C2212yes—
197#2605C2212yes—
198#2605C2212yes—
199#2605C2212yes—
200#2605C2212yes—
201#2590C2212yes—
202#2590C2212yes—
203#2589C2212yes—
204#2589C2212yes—
205#2588C2212yes—
206#2588C2212yes—
207#2587C2212yes—
208#2587C2212yes—
209#2586C2212yes—
210#2586C2212yes—
211#2585C2212yes—
212#2585C2212yes—
213#2583C2212yes—
214#2583C2212yes—
215#2579C2212yes—
216#2579C2212yes—
217#2574C2212yes—
218#2574C2212yes—
219#2570C2212yes—
220#2570C2212yes—
221#2570C2212yes—
222#2570C2212yes—
223#2569C2212yes—
224#2569C2212yes—
225#2569C2212yes—
226#2569C2212yes—
227#2569C2212yes—
228#2569C2212yes—
229#2564C2212yes—
230#2564C2212yes—
231#2556C2212yes—
232#2556C2212yes—
233#2550C2212yes—
234#2550C2212yes—
235#2550C2212yes—
236#2550C2212yes—
237#2549C2212yes—
238#2549C2212yes—
239#2549C2212yes—
240#2549C2212yes—
241#2549C2212yes—
242#2549C2212yes—
243#2549C2212yes—
244#2549C2212yes—
245#2522C2212yes—
246#2522C2212yes—
247#2520C2212yes—
248#2520C2212yes—
249#2511C2212yes—
250#2507C2212yes—
251#2505C2212yes—
252#2505C2212yes—
253#2505C2212yes—
254#2505C2212yes—
255#2502C2212yes—
256#2497C2212yes—
257#2492C2212yes—
258#2487C2212yes—
259#2473C2212yes—
260#2473C2212yes—
261#2473C2212yes—
262#2473C2212yes—
263#2465C2212yes—
264#2465C2212yes—
265#2462C2212yes—
266#2462C2212yes—
267#2451C2212yes—
268#2450C2212yes—
269#2450C2212yes—
270#2450C2212yes—
271#2450C2212yes—
272#2449C2212yes—
273#2449C2212yes—
274#2449C2212yes—
275#2449C2212yes—
276#2446C2212yes—
277#2441C2212yes—
278#2441C2212yes—
279#2441C2212yes—
280#2441C2212yes—
281#2440C2212yes—
282#2440C2212yes—
283#2439C2212yes—
284#2439C2212yes—
285#2439C2212yes—
286#2439C2212yes—
287#2438C2212yes—
288#2438C2212yes—
289#2438C2212yes—
290#2438C2212yes—
291#2438C2212yes—
292#2438C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2438C2212yes—
296#2438C2212yes—
297#2438C2212yes—
298#2438C2212yes—
299#2434C2212yes—
300#2429C2212yes—
301#2423C2212yes—
302#2417C2212yes—
303#2417C2212yes—
304#2409C2212yes—
305#2356C2212yes—
306#2356C2212yes—
307#2353C2212yes—
308#2353C2212yes—
309#2353C2212yes—
310#2353C2212yes—
311#2349C2212yes—
312#2349C2212yes—
313#2347C2212yes—
314#2347C2212yes—
315#2343C2212yes—
316#2343C2212yes—
317#2343C2212yes—
318#2343C2212yes—
319#2339C2212yes—
320#2339C2212yes—
321#2331C2212yes—
322#2331C2212yes—
323#2331C2212yes—
324#2331C2212yes—
325#2330C2212yes—
326#2330C2212yes—
327#2330C2212yes—
328#2330C2212yes—
329#2329C2212yes—
330#2329C2212yes—
331#2329C2212yes—
332#2329C2212yes—
333#2329C2212yes—
334#2329C2212yes—
335#2329C2212yes—
336#2329C2212yes—
337#2329C2212yes—
338#2329C2212yes—
339#2329C2212yes—
340#2329C2212yes—
341#2320C2212yes—
342#2320C2212yes—
343#2318C2212yes—
344#2318C2212yes—
345#2318C2212yes—
346#2318C2212yes—
347C4×C4⋊Q8C2211yescharacteristic
348C4×C4⋊Q8C2211yescharacteristic
349C4×#125C2212yes—
350C4×C22⋊Q8C2212yes—
351C4×C22⋊Q8C2211yescharacteristic
352C4×C22⋊Q8C2211yescharacteristic
353#2298C2212yes—
354#2298C2212yes—
355#2297C2211yescharacteristic
356#2297C2211yescharacteristic
357#2296C2211yescharacteristic
358#2296C2211yescharacteristic
359#2295C2212yes—
360#2295C2211yescharacteristic
361#2295C2211yescharacteristic
362#2295C2211yescharacteristic
363#2295C2211yescharacteristic
364#2295C2211yescharacteristic
365#2295C2211yescharacteristic
366C2×#391C2211yescharacteristic
367C2×#391C2211yescharacteristic
368C2×#391C2211yescharacteristic
369#2293C2211yescharacteristic
370#2293C2211yescharacteristic
371#2293C2211yescharacteristic
372#2293C2211yescharacteristic
373C2×#389C2211yescharacteristic
374C2×#389C2211yescharacteristic
375C2×#389C2211yescharacteristic
376#2290C2212yes—
377#2290C2212yes—
378#2290C2212yes—
379#2290C2212yes—
380C2×#387C2212yes—
381C2×#387C2212yes—
382C2×#387C2212yes—
383#2283C2212yes—
384#2283C2212yes—
385#2283C2212yes—
386#2283C2212yes—
387C2×#383C2212yes—
388C2×#383C2212yes—
389#2275C2212yes—
390#2275C2212yes—
391C4×#117C2211yescharacteristic
392C4×#117C2212yes—
393C4×#117C2212yes—
394C2×C43C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397C2×C4⋊Q8C2311yescharacteristic
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C4×#41Q8116yescomplemented
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2312yes—
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#400C2312yes—
491#399C2312yes—
492#399C2312yes—
493#399C2312yes—
494#399C2312yes—
495#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
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#396C2312yes—
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#395C2312yes—
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#393C2312yes—
612#393C2312yes—
613#393C2312yes—
614#393C2312yes—
615#393C2312yes—
616#393C2312yes—
617#393C2312yes—
618#393C2312yes—
619#391C2312yes—
620#391C2311yescharacteristic
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
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#391C2312yes—
652#391C2311yescharacteristic
653#391C2311yescharacteristic
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2311yescharacteristic
665#391C2312yes—
666#391C2311yescharacteristic
667#391C2311yescharacteristic
668#391C2312yes—
669#391C2311yescharacteristic
670#391C2311yescharacteristic
671#391C2311yescharacteristic
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#390C2311yescharacteristic
690#390C2311yescharacteristic
691#390C2311yescharacteristic
692#390C2311yescharacteristic
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2311yescharacteristic
699#389C2311yescharacteristic
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#389C2312yes—
717#389C2312yes—
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#389C2312yes—
742#389C2311yescharacteristic
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2311yescharacteristic
769#389C2312yes—
770#389C2312yes—
771#389C2311yescharacteristic
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2312yes—
775#389C2311yescharacteristic
776#389C2311yescharacteristic
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#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#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#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
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#385C2312yes—
982#385C2312yes—
983#384C2311yescharacteristic
984#384C2311yescharacteristic
985#384C2312yes—
986#384C2312yes—
987#384C2312yes—
988#384C2312yes—
989#383C2312yes—
990#383C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#380C2311yescharacteristic
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#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2311yescharacteristic
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊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#376C2312yes—
1107#376C2312yes—
1108#376C2312yes—
1109#376C2312yes—
1110#376C2312yes—
1111#376C2312yes—
1112#376C2312yes—
1113#376C2312yes—
1114#376C2312yes—
1115#376C2312yes—
1116#376C2312yes—
1117#376C2312yes—
1118#376C2312yes—
1119C2×#95C2312yes—
1120C2×#95C2312yes—
1121C2×#95C2312yes—
1122C2×#95C2312yes—
1123C2×#95C2312yes—
1124C2×#95C2312yes—
1125C2×#95C2312yes—
1126C2×#95C2312yes—
1127C2×#95C2312yes—
1128C2×#95C2312yes—
1129C2×#95C2312yes—
1130C2×#95C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C43C2311yescharacteristic
1135C43C2311yescharacteristic
1136C43C2311yescharacteristic
1137C43C2311yescharacteristic
1138C43C2311yescharacteristic
1139C43C2312yes—
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C2×#41—42no—
1144C2×#41—42no—
1145C2×#41C2×Q818yes—
1146C22×Q8—42no—
1147C22×Q8—42no—
1148C22×Q8—42no—
1149C22×Q8C2411yescharacteristic
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2411yescharacteristic
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C23×C4C2411yescharacteristic
1163C23×C4C2411yescharacteristic
1164C23×C4C2411yescharacteristic
1165C23×C4C2411yescharacteristic
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2411yescharacteristic
1180C4⋊Q8—42no—
1181C4⋊Q8—42no—
1182C4⋊Q8—44no—
1183C4⋊Q8—44no—
1184C4⋊Q8—44no—
1185C4⋊Q8—44no—
1186#125—44no—
1187#125—44no—
1188#125—44no—
1189#125—44no—
1190#125—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—42no—
1196C22⋊Q8—44no—
1197C22⋊Q8—42no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C4×Q8—44no—
1207C4×Q8—42no—
1208C4×Q8—42no—
1209C4×Q8C2×Q818yescomplemented
1210C4×Q8C2×Q818yescomplemented
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4C2×Q8116yes—
1216C4×D4C2×Q8116yes—
1217C4×D4C2×Q818yescomplemented
1218C4×D4C2×Q818yescomplemented
1219#117—44no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—42no—
1224#117—42no—
1225#117C2×Q818yes—
1226#117C2×Q8116yescomplemented
1227C2×C4⋊C4—42no—
1228C2×C4⋊C4—44no—
1229C2×C4⋊C4—42no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4—42no—
1232C2×C4⋊C4—44no—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊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×C42—42no—
1373C2×C42—42no—
1374C2×C42—42no—
1375C2×C42—42no—
1376C2×C42—42no—
1377C2×C42—42no—
1378C2×C42C2×Q818yes—
1379C2×C42C2×Q8116yescomplemented
1380C2×C42C2411yescharacteristic
1381C2×C42C2411yescharacteristic
1382C2×C42C2411yescharacteristic
1383C2×C42C2411yescharacteristic
1384C2×C42C2411yescharacteristic
1385C2×C42C2411yescharacteristic
1386C2×C42C2411yescharacteristic
1387C2×C42C2411yescharacteristic
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
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×C42C2411yescharacteristic
1411C2×C42C2411yescharacteristic
1412C2×C42C2411yescharacteristic
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2411yescharacteristic
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2411yescharacteristic
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2411yescharacteristic
1424C2×C42C2411yescharacteristic
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427C2×C42C2412yes—
1428C2×C42C2411yescharacteristic
1429C2×C42C2411yescharacteristic
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
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—
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—
1565C24C2512yes—
1566C24C2511yescharacteristic
1567#41—416no—
1568C2×Q8—22no—
1569C2×Q8—22no—
1570C2×Q8—22no—
1571C2×Q8—24no—
1572C2×Q8—24no—
1573C2×Q8—22no—
1574C2×Q8—41no—
1575C2×Q8—41no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—41no—
1579C2×Q8—41no—
1580C2×Q8—41no—
1581C2×Q8—41no—
1582C2×Q8—41no—
1583C2×Q8—41no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—41no—
1587C2×Q8—41no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—42no—
1593C2×Q8—42no—
1594C2×Q8—42no—
1595C2×Q8—42no—
1596C2×Q8—42no—
1597C2×Q8—42no—
1598C2×Q8—42no—
1599C2×Q8—42no—
1600C2×Q8—88no—
1601C2×Q8C22×Q814yes—
1602C2×D4—24no—
1603C2×D4—24no—
1604C2×D4—41no—
1605C2×D4—41no—
1606C2×D4C22×Q818yes—
1607C2×D4C22×Q814yes—
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—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—41no—
1625C22×C4—41no—
1626C22×C4—41no—
1627C22×C4—41no—
1628C22×C4—41no—
1629C22×C4—41no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
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×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4C22×Q814yes—
1657C22×C4C22×Q814yes—
1658C22×C4C22×Q814yes—
1659C22×C4C22×Q818yes—
1660C22×C4C22×Q818yes—
1661C22×C4C22×Q818yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2511yescharacteristic
1673C22×C4C2511yescharacteristic
1674C22×C4C2511yescharacteristic
1675C22×C4C2511yescharacteristic
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2511yescharacteristic
1687C22×C4C2511yescharacteristic
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2511yescharacteristic
1696C22×C4C2511yescharacteristic
1697C22×C4C2511yescharacteristic
1698C22×C4C2511yescharacteristic
1699C4⋊C4—24no—
1700C4⋊C4—22no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—22no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—22no—
1712C4⋊C4—22no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—41no—
1718C4⋊C4—42no—
1719C4⋊C4—41no—
1720C4⋊C4—42no—
1721C4⋊C4—41no—
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—42no—
1735C4⋊C4—41no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
1738C4⋊C4—41no—
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—41no—
1748C4⋊C4—41no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
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—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—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—41no—
1796C4⋊C4—41no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4C22×Q814yes—
1806C4⋊C4C22×Q814yes—
1807C4⋊C4C22×Q818yes—
1808C4⋊C4C22×Q818yes—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
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⋊C4—42no—
1835C22⋊C4C22×Q818yes—
1836C22⋊C4C22×Q818yes—
1837C22⋊C4C22×Q818yes—
1838C42—22no—
1839C42—22no—
1840C42—22no—
1841C42—22no—
1842C42—22no—
1843C42—22no—
1844C42—22no—
1845C42—22no—
1846C42—41no—
1847C42—41no—
1848C42—41no—
1849C42—41no—
1850C42—41no—
1851C42—41no—
1852C42—41no—
1853C42—41no—
1854C42—41no—
1855C42—41no—
1856C42—41no—
1857C42—41no—
1858C42—41no—
1859C42—41no—
1860C42—41no—
1861C42—41no—
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—
1889C42C22×Q818yes—
1890C42C22×Q818yes—
1891C23—21no—
1892C23—21no—
1893C23—21no—
1894C23—21no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23C23×Q814yes—
1902C23C23×Q812yes—
1903C23#58512yes—
1904C23#58512yes—
1905C23C2611yescharacteristic
1906Q8—44no—
1907Q8—82no—
1908Q8—84no—
1909Q8—82no—
1910Q8—82no—
1911Q8—84no—
1912Q8—82no—
1913Q8—162no—
1914Q8—162no—
1915Q8—162no—
1916Q8—162no—
1917D4—216no—
1918D4—44no—
1919C2×C4—28no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—28no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
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—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—48no—
2022C2×C4—48no—
2023C2×C4—48no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—84no—
2028C2×C4—84no—
2029C2×C4—84no—
2030C2×C4—84no—
2031C2×C4—162no—
2032C2×C4—162no—
2033C2×C4—162no—
2034C2×C4—162no—
2035C2×C4C23×Q812yes—
2036C2×C4C23×Q812yes—
2037C2×C4C23×Q812yes—
2038C2×C4C23×Q812yes—
2039C2×C4C23×Q812yes—
2040C2×C4C23×Q814yes—
2041C2×C4C23×Q814yes—
2042C2×C4C23×Q812yes—
2043C2×C4C23×Q814yes—
2044C2×C4#58512yes—
2045C2×C4#58512yes—
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#345814yes—
2062C22C24×Q811yescharacteristic
2063C22C2×#58511yescharacteristic
2064C22C2×#58511yescharacteristic
2065C22C2×#58511yescharacteristic
2066C22C2×#58511yescharacteristic
2067C22C2×#58511yescharacteristic
2068C22C2×#58511yescharacteristic
2069C4—22no—
2070C4—22no—
2071C4—22no—
2072C4—22no—
2073C4—24no—
2074C4—24no—
2075C4—22no—
2076C4—22no—
2077C4—22no—
2078C4—22no—
2079C4—22no—
2080C4—22no—
2081C4—24no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—41no—
2089C4—41no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—41no—
2095C4—41no—
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×#345811yescharacteristic
2109C2#6281311yescharacteristic
2110C2#6281311yescharacteristic
2111C2#6282611yescharacteristic
2112C2#6282711yescharacteristic
2113C2#6282811yescharacteristic
2114C2#6282811yescharacteristic
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. #39971C2semidirect
2. #39970C2semidirect
3. #39969C2semidirect
4. #39968C2semidirect
5. #38455C2semidirect
6. #38454C2semidirect
7. #38453C2semidirect
8. #38452C2semidirect
9. #38451C2semidirect
10. #38450C2semidirect
11. #38449C2semidirect
13. #38447C2semidirect
14. #38446C2semidirect
17. #38443C2semidirect
18. #38442C2semidirect
19. #38441C2semidirect
20. #38440C2semidirect
21. #37197C2semidirect
22. #37196C2semidirect
23. #37195C2semidirect
24. #37138C2semidirect
25. #37137C2semidirect
26. #37136C2semidirect
27. #36635C2semidirect
28. C2×#2863C2semidirect
29. #35401C2semidirect
30. #35400C2semidirect
31. #35399C2semidirect
32. #35398C2semidirect
33. #35213C2semidirect
34. #35213C2semidirect
35. #35146C2semidirect
36. #35146C2semidirect
37. #35146C2semidirect
423. C4×#41Q8semidirect
1209. C4×Q8C2×Q8semidirect
1210. C4×Q8C2×Q8semidirect
1217. C4×D4C2×Q8semidirect
1218. C4×D4C2×Q8semidirect
1226. #117C2×Q8semidirect
1379. C2×C42C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#399712
#399702
#399692
#399682
#384552
#384542
#384532
#384522
#384512
#384502
#384492
#384482
#384472
#384462
#384452
#384442
#384432
#384422
#384412
#384402
#371972
#371962
#371952
#371382
#371372
#371362
#366352
C2×#28632
#354012
#354002
#353992
#353982
#352132
#351462
#341952
#340262