Finite Group Databasebeta

← #7645541

Subgroups — #7645541

Order 512.

4286 conjugacy classes of subgroups.

The subgroup lattice has 2083 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42184C212yesmaximal, complemented
2#42183C212yesmaximal, complemented
3#42004C212yesmaximal, complemented
4#42001C212yesmaximal, complemented
5#40620C212yesmaximal, complemented
6#40618C212yesmaximal, complemented
7#40616C212yesmaximal, complemented
8#40614C212yesmaximal, complemented
9#39970C212yesmaximal, complemented
10#39970C212yesmaximal, complemented
11#39969C212yesmaximal, complemented
12#39968C212yesmaximal, complemented
13#38449C212yesmaximal, complemented
14#38448C212yesmaximal
15#38446C212yesmaximal, complemented
16#38444C212yesmaximal
17#37567C211yesmaximal, characteristic, complemented
18#37566C211yesmaximal, characteristic, complemented
19#37563C211yesmaximal, characteristic, complemented
20#37562C211yesmaximal, characteristic, complemented
21#37197C212yesmaximal, complemented
22#37195C212yesmaximal, complemented
23#36755C212yesmaximal, complemented
24#36753C212yesmaximal, complemented
25#35401C212yesmaximal, complemented
26#35398C212yesmaximal, complemented
27#35344C211yesmaximal, characteristic, complemented
28#35235C211yesmaximal, characteristic, complemented
29#35146C211yesmaximal, characteristic, complemented
30#35146C211yesmaximal, characteristic, complemented
31#35120C211yesmaximal, characteristic, complemented
32#35104C211yesmaximal, characteristic, complemented
33#35018C212yesmaximal, complemented
34#35016C212yesmaximal, complemented
35#34966C211yesmaximal, characteristic, complemented
36C2×#2605C211yesmaximal, characteristic, complemented
37#34195C211yesmaximal, characteristic
38#34127C211yesmaximal, characteristic
39#34056C211yesmaximal, characteristic
40C2×C4×#41C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2862C2212yes—
47#2857C2212yes—
48#2855C2212yes—
49#2855C2212yes—
50#2855C2212yes—
51#2855C2212yes—
52#2851C2212yes—
53#2844C2212yes—
54#2844C2212yes—
55#2843C2212yes—
56#2843C2212yes—
57#2841C2212yes—
58#2841C2212yes—
59#2841C2212yes—
60#2841C2212yes—
61#2811C2212yes—
62#2809C2212yes—
63#2807C2212yes—
64#2806C2212yes—
65#2806C2212yes—
66#2806C2212yes—
67#2806C2212yes—
68#2806C2212yes—
69#2805C2212yes—
70#2805C2212yes—
71#2805C2212yes—
72#2804C2212yes—
73#2802C2212yes—
74#2802C2212yes—
75#2799C2212yes—
76#2799C2212yes—
77#2799C2212yes—
78#2799C2212yes—
79#2792C2212yes—
80#2792C2212yes—
81#2792C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2790C2212yes—
86#2788C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2784C2212yes—
90#2780C2212yes—
91#2774C2212yes—
92#2774C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2774C2212yes—
96#2763C2212yes—
97#2763C2212yes—
98#2755C2212yes—
99#2755C2212yes—
100#2755C2212yes—
101#2755C2212yes—
102#2755C2212yes—
103#2748C2212yes—
104#2742C2212yes—
105#2742C2212yes—
106#2734C2212yes—
107#2734C2212yes—
108#2732C2212yes—
109#2729C2212yes—
110#2729C2212yes—
111#2720C2212yes—
112#2720C2212yes—
113#2720C2212yes—
114#2713C2212yes—
115#2713C2212yes—
116#2713C2212yes—
117#2713C2212yes—
118#2713C2212yes—
119#2713C2212yes—
120#2704C2212yes—
121#2692C2212yes—
122#2692C2212yes—
123#2692C2212yes—
124#2677C2212yes—
125#2667C2212yes—
126#2667C2212yes—
127#2666C2212yes—
128#2666C2212yes—
129#2666C2212yes—
130#2666C2212yes—
131#2666C2212yes—
132#2666C2212yes—
133#2666C2212yes—
134#2666C2212yes—
135#2666C2212yes—
136#2666C2212yes—
137#2666C2212yes—
138#2666C2212yes—
139#2666C2212yes—
140#2666C2212yes—
141#2666C2212yes—
142#2666C2212yes—
143#2665C2212yes—
144#2665C2212yes—
145#2665C2212yes—
146#2665C2212yes—
147#2665C2212yes—
148#2665C2212yes—
149#2665C2212yes—
150#2665C2212yes—
151#2660C2212yes—
152#2659C2212yes—
153#2659C2212yes—
154#2647C2212yes—
155#2646C2212yes—
156#2646C2212yes—
157#2628C2212yes—
158#2628C2212yes—
159#2627C2212yes—
160#2627C2212yes—
161#2612C2212yes—
162#2612C2212yes—
163#2612C2212yes—
164#2612C2212yes—
165#2612C2212yes—
166#2612C2212yes—
167#2608C2212yes—
168#2607C2212yes—
169#2607C2212yes—
170#2607C2212yes—
171#2607C2212yes—
172#2607C2212yes—
173#2606C2211yescharacteristic
174#2606C2212yes—
175#2606C2211yescharacteristic
176#2606C2212yes—
177#2606C2212yes—
178#2606C2211yescharacteristic
179#2606C2211yescharacteristic
180#2606C2212yes—
181#2606C2211yescharacteristic
182#2606C2211yescharacteristic
183#2605C2212yes—
184#2605C2211yescharacteristic
185#2605C2211yescharacteristic
186#2605C2211yescharacteristic
187#2605C2211yescharacteristic
188#2605C2212yes—
189#2605C2212yes—
190#2605C2212yes—
191#2605C2211yescharacteristic
192#2605C2212yes—
193#2605C2212yes—
194#2605C2212yes—
195#2605C2212yes—
196#2605C2212yes—
197#2605C2212yes—
198#2605C2212yes—
199#2605C2212yes—
200#2605C2212yes—
201#2605C2211yescharacteristic
202#2605C2211yescharacteristic
203#2605C2211yescharacteristic
204#2605C2212yes—
205#2605C2212yes—
206#2605C2212yes—
207#2605C2211yescharacteristic
208#2605C2211yescharacteristic
209#2590C2212yes—
210#2589C2212yes—
211#2589C2212yes—
212#2589C2212yes—
213#2588C2212yes—
214#2588C2212yes—
215#2588C2212yes—
216#2587C2212yes—
217#2586C2212yes—
218#2586C2212yes—
219#2586C2212yes—
220#2585C2212yes—
221#2583C2212yes—
222#2579C2212yes—
223#2574C2212yes—
224#2574C2212yes—
225#2574C2212yes—
226#2570C2212yes—
227#2570C2212yes—
228#2570C2212yes—
229#2570C2212yes—
230#2570C2212yes—
231#2569C2212yes—
232#2569C2212yes—
233#2569C2212yes—
234#2569C2212yes—
235#2564C2212yes—
236#2564C2212yes—
237#2564C2212yes—
238#2556C2212yes—
239#2550C2212yes—
240#2550C2212yes—
241#2550C2212yes—
242#2550C2212yes—
243#2550C2212yes—
244#2549C2212yes—
245#2549C2212yes—
246#2549C2212yes—
247#2549C2212yes—
248#2549C2212yes—
249#2549C2212yes—
250#2549C2212yes—
251#2522C2212yes—
252#2522C2212yes—
253#2520C2212yes—
254#2520C2212yes—
255#2511C2212yes—
256#2511C2212yes—
257#2505C2212yes—
258#2505C2212yes—
259#2505C2212yes—
260#2505C2212yes—
261#2505C2212yes—
262#2502C2212yes—
263#2492C2212yes—
264#2492C2212yes—
265#2487C2212yes—
266#2473C2212yes—
267#2473C2212yes—
268#2473C2212yes—
269#2465C2212yes—
270#2465C2212yes—
271#2462C2212yes—
272#2462C2212yes—
273#2451C2212yes—
274#2450C2212yes—
275#2450C2212yes—
276#2450C2212yes—
277#2450C2212yes—
278#2450C2212yes—
279#2449C2212yes—
280#2449C2212yes—
281#2449C2212yes—
282#2446C2212yes—
283#2442C2212yes—
284#2442C2212yes—
285#2441C2212yes—
286#2440C2212yes—
287#2440C2212yes—
288#2440C2212yes—
289#2439C2212yes—
290#2438C2212yes—
291#2438C2212yes—
292#2438C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2438C2212yes—
296#2438C2212yes—
297#2438C2212yes—
298#2434C2212yes—
299#2434C2212yes—
300#2429C2212yes—
301#2423C2212yes—
302#2417C2212yes—
303#2409C2212yes—
304#2409C2212yes—
305#2402C2212yes—
306#2399C2212yes—
307C2×#400C2212yes—
308C2×#395C2212yes—
309#2356C2212yes—
310#2355C2212yes—
311#2353C2212yes—
312#2353C2212yes—
313#2352C2212yes—
314#2352C2212yes—
315#2349C2212yes—
316D4×C4⋊C4C2212yes—
317#2347C2212yes—
318#2347C2211yescharacteristic
319#2347C2211yescharacteristic
320#2343C2211yescharacteristic
321#2343C2212yes—
322#2343C2211yescharacteristic
323#2343C2211yescharacteristic
324#2343C2212yes—
325#2343C2211yescharacteristic
326#2339C2211yescharacteristic
327#2339C2212yes—
328#2339C2211yescharacteristic
329#2331C2212yes—
330#2331C2212yes—
331#2331C2212yes—
332#2330C2212yes—
333#2329C2212yes—
334#2329C2212yes—
335#2329C2212yes—
336#2329C2212yes—
337#2329C2212yes—
338#2329C2212yes—
339#2329C2212yes—
340#2329C2212yes—
341#2320C2211yescharacteristic
342#2320C2212yes—
343#2320C2211yescharacteristic
344#2320C2212yes—
345#2319C2211yescharacteristic
346#2319C2212yes—
347#2319C2211yescharacteristic
348#2318C2212yes—
349#2318C2211yescharacteristic
350#2318C2211yescharacteristic
351#2318C2211yescharacteristic
352#2318C2211yescharacteristic
353#2318C2212yes—
354#2318C2212yes—
355#2318C2212yes—
356C4×C4⋊Q8C2212yes—
357C4×#125C2212yes—
358C4×C22⋊Q8C2212yes—
359C4×C22⋊Q8C2212yes—
360#2298C2212yes—
361#2298C2212yes—
362#2297C2212yes—
363#2296C2212yes—
364#2295C2211yescharacteristic
365#2295C2211yescharacteristic
366C2×#391C2212yes—
367C2×#391C2212yes—
368#2290C2211yescharacteristic
369#2290C2211yescharacteristic
370#2290C2211yescharacteristic
371#2290C2211yescharacteristic
372C2×#387C2212yes—
373C2×#387C2212yes—
374#2285C2211yescharacteristic
375#2283C2211yescharacteristic
376#2283C2211yescharacteristic
377#2283C2211yescharacteristic
378#2283C2211yescharacteristic
379#2283C2211yescharacteristic
380#2283C2211yescharacteristic
381#2283C2211yescharacteristic
382#2283C2211yescharacteristic
383#2283C2211yescharacteristic
384#2283C2211yescharacteristic
385C2×#383C2211yescharacteristic
386C2×#383C2211yescharacteristic
387#2275C2212yes—
388C42×D4C2211yescharacteristic
389C42×D4C2211yescharacteristic
390C4×#117C2211yescharacteristic
391C4×#117C2211yescharacteristic
392C2×C4×C4⋊C4C2211yescharacteristic
393C2×C4×C4⋊C4C2211yescharacteristic
394C2×#376C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×C22⋊Q8C2312yes—
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⋊Q8C2312yes—
421C4×#41Q8116yescomplemented
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C42C2312yes—
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
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#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#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
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#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
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#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#390C2312yes—
713#390C2312yes—
714#389C2312yes—
715#389C2312yes—
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#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#388C2312yes—
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#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#384C2312yes—
953#384C2312yes—
954#384C2312yes—
955#384C2312yes—
956#384C2312yes—
957#383C2311yescharacteristic
958#383C2311yescharacteristic
959#383C2312yes—
960#383C2312yes—
961#383C2312yes—
962#383C2312yes—
963#383C2311yescharacteristic
964#383C2311yescharacteristic
965#383C2312yes—
966#383C2311yescharacteristic
967#383C2311yescharacteristic
968#383C2311yescharacteristic
969#383C2312yes—
970#383C2312yes—
971#383C2311yescharacteristic
972#383C2311yescharacteristic
973#383C2311yescharacteristic
974#383C2311yescharacteristic
975#383C2311yescharacteristic
976#383C2312yes—
977#382C2312yes—
978#382C2311yescharacteristic
979#382C2312yes—
980#382C2311yescharacteristic
981#382C2312yes—
982#382C2312yes—
983#382C2312yes—
984#382C2312yes—
985#382C2312yes—
986#382C2311yescharacteristic
987#382C2312yes—
988#382C2312yes—
989#382C2311yescharacteristic
990#382C2311yescharacteristic
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2312yes—
995#382C2311yescharacteristic
996#382C2312yes—
997#381C2312yes—
998#381C2311yescharacteristic
999#381C2311yescharacteristic
1000#381C2312yes—
1001#381C2312yes—
1002#381C2311yescharacteristic
1003#381C2311yescharacteristic
1004#381C2312yes—
1005#381C2311yescharacteristic
1006#381C2311yescharacteristic
1007#381C2312yes—
1008#381C2311yescharacteristic
1009#381C2311yescharacteristic
1010#381C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2311yescharacteristic
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2311yescharacteristic
1029#380C2311yescharacteristic
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040C4×C4⋊C4C2311yescharacteristic
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2311yescharacteristic
1050C4×C4⋊C4C2311yescharacteristic
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2311yescharacteristic
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2311yescharacteristic
1079C4×C22⋊C4C2311yescharacteristic
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2311yescharacteristic
1090C4×C22⋊C4C2311yescharacteristic
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2311yescharacteristic
1093C4×C22⋊C4C2311yescharacteristic
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2311yescharacteristic
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2311yescharacteristic
1105#376C2312yes—
1106#376C2311yescharacteristic
1107#376C2311yescharacteristic
1108#376C2312yes—
1109#376C2311yescharacteristic
1110#376C2311yescharacteristic
1111#376C2312yes—
1112#376C2311yescharacteristic
1113#376C2311yescharacteristic
1114#376C2312yes—
1115#376C2311yescharacteristic
1116#376C2312yes—
1117#376C2311yescharacteristic
1118#376C2311yescharacteristic
1119#376C2311yescharacteristic
1120#376C2311yescharacteristic
1121#376C2311yescharacteristic
1122#376C2312yes—
1123C2×#95C2312yes—
1124C2×#95C2312yes—
1125C2×#95C2312yes—
1126C2×#95C2311yescharacteristic
1127C2×#95C2312yes—
1128C2×#95C2312yes—
1129C2×#95C2312yes—
1130C2×#95C2312yes—
1131C2×#95C2311yescharacteristic
1132C2×#95C2311yescharacteristic
1133C2×#95C2312yes—
1134C2×#95C2311yescharacteristic
1135C2×#95C2312yes—
1136C2×#95C2311yescharacteristic
1137C2×#95C2311yescharacteristic
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C43C2312yes—
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C2×#41—44no—
1144C2×#41C2×Q818yes—
1145C22×Q8—44no—
1146C22×Q8—44no—
1147C22×Q8—82no—
1148C22×Q8C2412yes—
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×Q8C2412yes—
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×D4C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C23×C4C2412yes—
1163C23×C4C2411yescharacteristic
1164C23×C4C2412yes—
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2411yescharacteristic
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2411yescharacteristic
1180C23×C4C2411yescharacteristic
1181C4⋊Q8—44no—
1182C4⋊Q8—44no—
1183C4⋊Q8—44no—
1184C4⋊Q8—44no—
1185C4⋊Q8—82no—
1186C4⋊Q8—82no—
1187#125—44no—
1188#125—44no—
1189#125—82no—
1190#125—82no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205C4×Q8—82no—
1206C4×Q8—82no—
1207C4×Q8C2×Q818yescomplemented
1208C4×Q8C2×Q818yescomplemented
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4C2×Q818yes—
1214C4×D4C2×Q818yes—
1215C4×D4C2×Q818yes—
1216C4×D4C2×Q818yes—
1217C4×D4C2×Q818yescomplemented
1218C4×D4C2×Q818yescomplemented
1219#117—44no—
1220#117—44no—
1221#117—81no—
1222#117—81no—
1223#117C2×Q818yes—
1224#117C2×Q818yescomplemented
1225#117C2×Q818yescomplemented
1226C2×C4⋊C4—44no—
1227C2×C4⋊C4—44no—
1228C2×C4⋊C4—44no—
1229C2×C4⋊C4—44no—
1230C2×C4⋊C4—82no—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
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⋊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⋊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⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊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⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2411yescharacteristic
1362C2×C22⋊C4C2411yescharacteristic
1363C2×C22⋊C4C2411yescharacteristic
1364C2×C22⋊C4C2411yescharacteristic
1365C2×C42—44no—
1366C2×C42—81no—
1367C2×C42—81no—
1368C2×C42—81no—
1369C2×C42—81no—
1370C2×C42C2×Q818yes—
1371C2×C42C2×Q818yescomplemented
1372C2×C42C2×Q818yescomplemented
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2411yescharacteristic
1378C2×C42C2411yescharacteristic
1379C2×C42C2411yescharacteristic
1380C2×C42C2411yescharacteristic
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2411yescharacteristic
1397C2×C42C2411yescharacteristic
1398C2×C42C2412yes—
1399C2×C42C2411yescharacteristic
1400C2×C42C2411yescharacteristic
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2411yescharacteristic
1408C2×C42C2411yescharacteristic
1409C2×C42C2411yescharacteristic
1410C2×C42C2411yescharacteristic
1411C2×C42C2411yescharacteristic
1412C2×C42C2411yescharacteristic
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417#95C2412yes—
1418#95C2412yes—
1419#95C2411yescharacteristic
1420#95C2411yescharacteristic
1421#95C2412yes—
1422#95C2412yes—
1423#95C2411yescharacteristic
1424#95C2411yescharacteristic
1425#95C2412yes—
1426#95C2411yescharacteristic
1427#95C2411yescharacteristic
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2411yescharacteristic
1435#95C2411yescharacteristic
1436#95C2411yescharacteristic
1437#95C2411yescharacteristic
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#95C2411yescharacteristic
1481#95C2411yescharacteristic
1482#95C2411yescharacteristic
1483#95C2411yescharacteristic
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#95C2411yescharacteristic
1508#95C2411yescharacteristic
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—
1561C24C2511yescharacteristic
1562C24C2511yescharacteristic
1563C24C2511yescharacteristic
1564#41—416no—
1565C2×Q8—24no—
1566C2×Q8—24no—
1567C2×Q8—24no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—42no—
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—42no—
1596C2×Q8—816no—
1597C2×Q8C22×Q814yes—
1598C2×D4—24no—
1599C2×D4—24no—
1600C2×D4—42no—
1601C2×D4C22×Q814yes—
1602C2×D4C22×Q814yes—
1603C2×D4C22×Q814yes—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—41no—
1614C22×C4—41no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—41no—
1621C22×C4—41no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
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×C4C22×Q814yes—
1647C22×C4C22×Q814yes—
1648C22×C4C22×Q814yes—
1649C22×C4C22×Q814yes—
1650C22×C4C22×Q814yes—
1651C22×C4C22×Q814yes—
1652C22×C4C22×Q814yes—
1653C22×C4C22×Q814yes—
1654C22×C4C22×Q814yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2511yescharacteristic
1679C22×C4C2511yescharacteristic
1680C22×C4C2511yescharacteristic
1681C22×C4C2511yescharacteristic
1682C22×C4C2511yescharacteristic
1683C22×C4C2511yescharacteristic
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2511yescharacteristic
1687C22×C4C2511yescharacteristic
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
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—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—42no—
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⋊C4C22×Q814yes—
1788C4⋊C4C22×Q814yes—
1789C4⋊C4C22×Q814yes—
1790C4⋊C4C22×Q814yes—
1791C4⋊C4C22×Q814yes—
1792C4⋊C4C22×Q814yes—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4C22×Q814yes—
1820C22⋊C4C22×Q814yes—
1821C22⋊C4C22×Q814yes—
1822C22⋊C4C22×Q814yes—
1823C22⋊C4C22×Q814yes—
1824C22⋊C4C22×Q814yes—
1825C42—24no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—41no—
1831C42—41no—
1832C42—41no—
1833C42—41no—
1834C42—41no—
1835C42—41no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—41no—
1844C42—41no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42C22×Q814yes—
1860C42C22×Q814yes—
1861C42C22×Q814yes—
1862C42C22×Q814yes—
1863C42C22×Q814yes—
1864C42C22×Q814yes—
1865C42C22×Q814yes—
1866C42C22×Q814yes—
1867C42C22×Q814yes—
1868C42C22×Q814yes—
1869C23—22no—
1870C23—21no—
1871C23—21no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—21no—
1877C23—21no—
1878C23—21no—
1879C23—21no—
1880C23C23×Q812yes—
1881C23C23×Q812yes—
1882C23C23×Q812yes—
1883C23#58514yes—
1884C23C2611yescharacteristic
1885Q8—44no—
1886Q8—84no—
1887Q8—84no—
1888Q8—84no—
1889Q8—84no—
1890Q8—84no—
1891Q8—84no—
1892Q8—162no—
1893Q8—162no—
1894Q8—162no—
1895Q8—162no—
1896D4—28no—
1897D4—28no—
1898D4—44no—
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—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—21no—
1917C2×C4—28no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
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—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—44no—
1988C2×C4—44no—
1989C2×C4—44no—
1990C2×C4—44no—
1991C2×C4—44no—
1992C2×C4—44no—
1993C2×C4—44no—
1994C2×C4—44no—
1995C2×C4—48no—
1996C2×C4—48no—
1997C2×C4—84no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—162no—
2004C2×C4—162no—
2005C2×C4C23×Q812yes—
2006C2×C4C23×Q812yes—
2007C2×C4C23×Q812yes—
2008C2×C4C23×Q812yes—
2009C2×C4C23×Q812yes—
2010C2×C4C23×Q812yes—
2011C2×C4C23×Q812yes—
2012C2×C4C23×Q812yes—
2013C2×C4C23×Q812yes—
2014C2×C4C23×Q812yes—
2015C2×C4C23×Q812yes—
2016C2×C4C23×Q812yes—
2017C2×C4#58514yes—
2018C22—22no—
2019C22—22no—
2020C22—24no—
2021C22—24no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—22no—
2027C22—22no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22#345814yes—
2033C22C24×Q811yescharacteristic
2034C22C2×#58512yes—
2035C22C2×#58512yes—
2036C22H(7,𝔽2)11yescharacteristic
2037C222−1+611yescharacteristic
2038C4—22no—
2039C4—22no—
2040C4—22no—
2041C4—22no—
2042C4—22no—
2043C4—22no—
2044C4—22no—
2045C4—22no—
2046C4—24no—
2047C4—22no—
2048C4—22no—
2049C4—22no—
2050C4—22no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C2—24no—
2075C2—42no—
2076C2—42no—
2077C2C2×#345811yescharacteristic
2078C2#6281311yescharacteristic
2079C2#6285411yescharacteristic
2080C2#6293312yes—
2081C2#6296412yes—
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. #42184C2semidirect
2. #42183C2semidirect
3. #42004C2semidirect
4. #42001C2semidirect
5. #40620C2semidirect
6. #40618C2semidirect
7. #40616C2semidirect
8. #40614C2semidirect
9. #39970C2semidirect
10. #39970C2semidirect
11. #39969C2semidirect
12. #39968C2semidirect
13. #38449C2semidirect
15. #38446C2semidirect
17. #37567C2semidirect
18. #37566C2semidirect
19. #37563C2semidirect
20. #37562C2semidirect
21. #37197C2semidirect
22. #37195C2semidirect
23. #36755C2semidirect
24. #36753C2semidirect
25. #35401C2semidirect
26. #35398C2semidirect
27. #35344C2semidirect
28. #35235C2semidirect
29. #35146C2semidirect
30. #35146C2semidirect
31. #35120C2semidirect
32. #35104C2semidirect
33. #35018C2semidirect
34. #35016C2semidirect
35. #34966C2semidirect
36. C2×#2605C2semidirect
421. C4×#41Q8semidirect
1207. C4×Q8C2×Q8semidirect
1208. C4×Q8C2×Q8semidirect
1217. C4×D4C2×Q8semidirect
1218. C4×D4C2×Q8semidirect
1224. #117C2×Q8semidirect
1225. #117C2×Q8semidirect
1371. C2×C42C2×Q8semidirect
1372. C2×C42C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#421842
#421832
#420042
#420012
#406202
#406182
#406162
#406142
#399702
#399692
#399682
#384492
#384482
#384462
#384442
#375672
#375662
#375632
#375622
#371972
#371952
#367552
#367532
#354012
#353982
#353442
#352352
#351462
#351202
#351042
#350182
#350162
#349662
C2×#26052
#341952
#341272
#340562