Finite Group Databasebeta

← #7697179

Subgroups — #7697179

Order 512.

4523 conjugacy classes of subgroups.

The subgroup lattice has 2137 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59927C211yesmaximal, characteristic, complemented
2#59923C211yesmaximal, characteristic, complemented
3#59923C211yesmaximal, characteristic, complemented
4#59912C212yesmaximal
5#59793C212yesmaximal, complemented
6#59668C212yesmaximal, complemented
7#52290C211yesmaximal, characteristic, complemented
8#52287C211yesmaximal, characteristic, complemented
9C2×#2806C211yesmaximal, characteristic, complemented
10#44667C212yesmaximal, complemented
11#44419C212yesmaximal, complemented
12#44317C212yesmaximal, complemented
13#44255C212yesmaximal, complemented
14#44189C212yesmaximal, complemented
15#44025C212yesmaximal
16#43891C212yesmaximal
17#43573C212yesmaximal, complemented
18#43556C212yesmaximal, complemented
19#39978C212yesmaximal, complemented
20#39968C212yesmaximal, complemented
21#39709C211yesmaximal, characteristic, complemented
22#39703C211yesmaximal, characteristic, complemented
23#39687C212yesmaximal
24#39663C212yesmaximal, complemented
25#39647C212yesmaximal, complemented
26#39640C211yesmaximal, characteristic, complemented
27#39368C211yesmaximal, characteristic, complemented
28#38455C211yesmaximal, characteristic, complemented
29#38446C211yesmaximal, characteristic, complemented
30#38103C212yesmaximal, complemented
31#36279C212yesmaximal, complemented
32#36277C211yesmaximal, characteristic
33#35862C212yesmaximal
34#35810C212yesmaximal, complemented
35#35743C212yesmaximal, complemented
36#34334C211yesmaximal, characteristic
37#34314C211yesmaximal, characteristic
38#34297C212yesmaximal
39#34272C212yesmaximal, complemented
40C2×#552C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic
42C2×#544C2212yes—
43#2863C2211yescharacteristic
44#2863C2212yes—
45#2862C2212yes—
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2211yescharacteristic
49#2811C2211yescharacteristic
50#2809C2212yes—
51#2807C2212yes—
52#2807C2212yes—
53#2806C2212yes—
54#2806C2212yes—
55#2806C2211yescharacteristic
56#2806C2211yescharacteristic
57#2806C2211yescharacteristic
58#2806C2211yescharacteristic
59#2806C2212yes—
60#2806C2212yes—
61#2806C2211yescharacteristic
62#2806C2211yescharacteristic
63#2806C2212yes—
64#2806C2212yes—
65#2806C2212yes—
66#2806C2211yescharacteristic
67#2806C2212yes—
68#2806C2211yescharacteristic
69#2806C2212yes—
70#2806C2212yes—
71#2805C2212yes—
72#2805C2211yescharacteristic
73#2805C2211yescharacteristic
74#2805C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2802C2212yes—
78#2802C2212yes—
79#2792C2212yes—
80#2792C2212yes—
81#2792C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2791C2212yes—
86#2788C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2774C2212yes—
90#2774C2212yes—
91#2774C2212yes—
92#2774C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2768C2212yes—
96#2768C2212yes—
97#2768C2212yes—
98#2755C2212yes—
99#2755C2212yes—
100#2734C2211yescharacteristic
101#2734C2211yescharacteristic
102#2734C2212yes—
103#2734C2211yescharacteristic
104#2734C2212yes—
105#2729C2212yes—
106#2726C2211yescharacteristic
107#2726C2211yescharacteristic
108#2720C2212yes—
109#2720C2212yes—
110#2720C2212yes—
111#2713C2212yes—
112#2713C2212yes—
113#2713C2212yes—
114#2713C2212yes—
115#2713C2212yes—
116#2713C2212yes—
117#2677C2212yes—
118#2677C2212yes—
119#2667C2212yes—
120#2666C2212yes—
121#2666C2212yes—
122#2666C2212yes—
123#2666C2212yes—
124#2666C2212yes—
125#2646C2212yes—
126#2627C2212yes—
127#2627C2212yes—
128#2612C2212yes—
129#2612C2212yes—
130#2612C2212yes—
131#2607C2212yes—
132#2606C2212yes—
133#2606C2212yes—
134#2606C2212yes—
135#2605C2212yes—
136#2605C2212yes—
137#2605C2212yes—
138#2605C2212yes—
139#2605C2212yes—
140#2590C2212yes—
141#2590C2212yes—
142#2590C2212yes—
143#2590C2212yes—
144#2590C2212yes—
145#2589C2212yes—
146#2589C2212yes—
147#2589C2212yes—
148#2589C2212yes—
149#2588C2212yes—
150#2588C2212yes—
151#2588C2212yes—
152#2588C2212yes—
153#2588C2212yes—
154#2588C2212yes—
155#2588C2212yes—
156#2588C2212yes—
157#2587C2212yes—
158#2586C2212yes—
159#2586C2212yes—
160#2586C2212yes—
161#2586C2212yes—
162#2586C2212yes—
163#2586C2212yes—
164#2586C2212yes—
165#2586C2212yes—
166#2586C2212yes—
167#2586C2212yes—
168#2585C2212yes—
169#2585C2212yes—
170#2585C2212yes—
171#2585C2212yes—
172#2585C2212yes—
173#2585C2212yes—
174#2584C2212yes—
175#2584C2212yes—
176#2583C2212yes—
177#2583C2212yes—
178#2574C2212yes—
179#2570C2212yes—
180#2569C2212yes—
181#2568C2212yes—
182#2565C2212yes—
183#2564C2212yes—
184#2556C2212yes—
185#2556C2212yes—
186#2556C2212yes—
187#2552C2212yes—
188#2551C2212yes—
189#2551C2212yes—
190#2551C2212yes—
191#2550C2212yes—
192#2550C2212yes—
193#2550C2212yes—
194#2550C2212yes—
195#2549C2212yes—
196#2549C2212yes—
197#2549C2212yes—
198#2549C2212yes—
199#2549C2212yes—
200#2546C2212yes—
201#2546C2212yes—
202#2546C2212yes—
203#2522C2212yes—
204#2520C2212yes—
205#2520C2212yes—
206#2520C2212yes—
207#2520C2212yes—
208#2520C2212yes—
209#2520C2212yes—
210#2511C2211yescharacteristic
211#2511C2212yes—
212#2511C2212yes—
213#2511C2212yes—
214#2509C2212yes—
215#2508C2212yes—
216#2507C2212yes—
217#2507C2212yes—
218#2507C2212yes—
219#2507C2212yes—
220#2506C2212yes—
221#2506C2212yes—
222#2505C2212yes—
223#2505C2212yes—
224#2505C2212yes—
225#2505C2212yes—
226#2492C2212yes—
227#2492C2211yescharacteristic
228#2487C2211yescharacteristic
229#2473C2212yes—
230#2473C2212yes—
231#2473C2212yes—
232#2473C2212yes—
233#2465C2212yes—
234#2462C2212yes—
235#2462C2212yes—
236#2462C2212yes—
237#2462C2212yes—
238#2462C2212yes—
239#2462C2212yes—
240#2451C2212yes—
241#2451C2212yes—
242#2451C2212yes—
243#2451C2212yes—
244#2451C2211yescharacteristic
245#2451C2212yes—
246#2451C2212yes—
247#2451C2212yes—
248#2450C2212yes—
249#2449C2212yes—
250#2449C2212yes—
251#2449C2212yes—
252#2446C2212yes—
253#2446C2212yes—
254#2446C2212yes—
255#2446C2212yes—
256#2440C2212yes—
257#2440C2212yes—
258#2440C2212yes—
259#2438C2212yes—
260#2438C2212yes—
261#2438C2212yes—
262#2438C2212yes—
263#2438C2212yes—
264#2438C2212yes—
265#2438C2212yes—
266#2434C2212yes—
267#2434C2212yes—
268#2434C2212yes—
269#2434C2212yes—
270#2429C2212yes—
271#2423C2212yes—
272#2423C2212yes—
273#2423C2211yescharacteristic
274#2409C2211yescharacteristic
275#2402C2212yes—
276#2399C2212yes—
277#2399C2212yes—
278#2399C2212yes—
279#2399C2212yes—
280#2396C2212yes—
281C2×#398C2212yes—
282C2×#398C2212yes—
283C2×#395C2212yes—
284#2373C2212yes—
285#2373C2212yes—
286#2373C2212yes—
287#2371C2212yes—
288#2371C2212yes—
289#2370C2212yes—
290#2370C2211yescharacteristic
291#2370C2212yes—
292#2370C2212yes—
293#2370C2212yes—
294#2370C2212yes—
295#2370C2212yes—
296#2369C2212yes—
297#2369C2212yes—
298#2369C2212yes—
299#2369C2212yes—
300#2369C2212yes—
301#2368C2212yes—
302#2368C2212yes—
303#2368C2212yes—
304#2368C2212yes—
305#2368C2212yes—
306#2368C2212yes—
307#2368C2212yes—
308#2368C2212yes—
309#2368C2212yes—
310#2365C2212yes—
311#2365C2212yes—
312#2365C2211yescharacteristic
313#2362C2211yescharacteristic
314#2360C2212yes—
315#2360C2211yescharacteristic
316#2360C2212yes—
317#2360C2212yes—
318#2360C2212yes—
319#2360C2211yescharacteristic
320#2360C2211yescharacteristic
321#2360C2212yes—
322#2359C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2356C2212yes—
326#2355C2211yescharacteristic
327#2353C2212yes—
328#2352C2211yescharacteristic
329#2351C2211yescharacteristic
330#2349C2212yes—
331D4×C4⋊C4C2211yescharacteristic
332#2347C2211yescharacteristic
333#2345C2211yescharacteristic
334#2344C2211yescharacteristic
335#2344C2212yes—
336#2343C2212yes—
337#2343C2212yes—
338#2343C2212yes—
339#2343C2212yes—
340Q8×C22⋊C4C2211yescharacteristic
341Q8×C22⋊C4C2211yescharacteristic
342Q8×C22⋊C4C2211yescharacteristic
343#2336C2212yes—
344#2336C2212yes—
345#2336C2212yes—
346#2334C2212yes—
347#2334C2212yes—
348#2332C2212yes—
349#2331C2212yes—
350#2331C2212yes—
351#2331C2212yes—
352#2330C2212yes—
353#2330C2212yes—
354#2329C2212yes—
355#2329C2212yes—
356#2329C2212yes—
357#2322C2212yes—
358#2322C2212yes—
359#2317C2212yes—
360C4×C4⋊Q8C2212yes—
361C4×C4⋊Q8C2212yes—
362C4×C4⋊Q8C2211yescharacteristic
363C4×C4⋊Q8C2212yes—
364C4×#125C2211yescharacteristic
365C4×#125C2212yes—
366C4×#125C2212yes—
367C4×#125C2212yes—
368C4×#126C2212yes—
369C4×C22⋊Q8C2211yescharacteristic
370C4×C22⋊Q8C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×C22⋊Q8C2211yescharacteristic
373C4×C22⋊Q8C2211yescharacteristic
374C4×#123C2212yes—
375#2298C2212yes—
376#2296C2212yes—
377#2296C2211yescharacteristic
378#2295C2211yescharacteristic
379#2295C2211yescharacteristic
380#2295C2211yescharacteristic
381#2295C2212yes—
382#2295C2212yes—
383C2×#391C2212yes—
384C2×#391C2211yescharacteristic
385C2×#391C2211yescharacteristic
386C2×#391C2211yescharacteristic
387C2×#389C2212yes—
388C2×#389C2211yescharacteristic
389C2×#387C2212yes—
390#2275C2212yes—
391#2274C2212yes—
392#2274C2212yes—
393C42×D4C2211yescharacteristic
394C4×#117C2212yes—
395C23×Q8C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#552Q8116yescomplemented
399D4×Q8—28no—
400#544—216no—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2311yescharacteristic
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2312yes—
413C2×C4⋊Q8C2312yes—
414C2×C4⋊Q8C2312yes—
415C2×#126C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2311yescharacteristic
425C2×#123C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2311yescharacteristic
466C2×#117C2312yes—
467C2×#117C2311yescharacteristic
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C42C2312yes—
479C22×C42C2311yescharacteristic
480C22×C42C2311yescharacteristic
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#399C2312yes—
513#399C2312yes—
514#399C2312yes—
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#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
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#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2311yescharacteristic
644#391C2311yescharacteristic
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2311yescharacteristic
660#391C2311yescharacteristic
661#391C2311yescharacteristic
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2311yescharacteristic
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#391C2311yescharacteristic
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2311yescharacteristic
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2311yescharacteristic
716#389C2311yescharacteristic
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#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
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#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2311yescharacteristic
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2312yes—
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2311yescharacteristic
803#389C2311yescharacteristic
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2311yescharacteristic
808#389C2311yescharacteristic
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
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#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
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#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#384C2312yes—
990#384C2312yes—
991#384C2311yescharacteristic
992#384C2312yes—
993#384C2312yes—
994#384C2311yescharacteristic
995#384C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2311yescharacteristic
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2311yescharacteristic
1021#380C2311yescharacteristic
1022#380C2311yescharacteristic
1023#380C2311yescharacteristic
1024#380C2311yescharacteristic
1025#380C2311yescharacteristic
1026#380C2311yescharacteristic
1027#380C2311yescharacteristic
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2311yescharacteristic
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2311yescharacteristic
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2311yescharacteristic
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⋊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⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2311yescharacteristic
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2311yescharacteristic
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2311yescharacteristic
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2311yescharacteristic
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125#376C2312yes—
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2312yes—
1144C43C2311yescharacteristic
1145C22×Q8—24no—
1146C22×Q8—24no—
1147C22×Q8—24no—
1148C22×Q8—42no—
1149C22×Q8—81no—
1150C22×Q8—81no—
1151C22×Q8—81no—
1152C22×Q8—81no—
1153C22×Q8—81no—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×Q8C2411yescharacteristic
1166C22×Q8C2411yescharacteristic
1167C22×Q8C2411yescharacteristic
1168C22×D4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2411yescharacteristic
1181C23×C4C2411yescharacteristic
1182C23×C4C2411yescharacteristic
1183C4⋊Q8—28no—
1184C4⋊Q8—28no—
1185C4⋊Q8—24no—
1186C4⋊Q8—28no—
1187C4⋊Q8—28no—
1188C4⋊Q8—28no—
1189C4⋊Q8—28no—
1190C4⋊Q8—81no—
1191C4⋊Q8—82no—
1192C4⋊Q8—82no—
1193C4⋊Q8—82no—
1194C4⋊Q8—82no—
1195C4⋊Q8—82no—
1196C4⋊Q8—82no—
1197#126C2×Q8116yescomplemented
1198#125—28no—
1199#125—28no—
1200#125—28no—
1201#125—28no—
1202#125—82no—
1203#125—82no—
1204#125—82no—
1205#125C2×Q8116yescomplemented
1206#125C2×Q818yescomplemented
1207#123C2×Q8116yes—
1208C22⋊Q8—24no—
1209C22⋊Q8—28no—
1210C22⋊Q8—28no—
1211C22⋊Q8—24no—
1212C22⋊Q8—28no—
1213C22⋊Q8—28no—
1214C22⋊Q8—28no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—82no—
1218C22⋊Q8—82no—
1219C22⋊Q8—82no—
1220C22⋊Q8—81no—
1221C22⋊Q8C2×Q818yescomplemented
1222C22⋊Q8C2×Q818yescomplemented
1223C22⋊Q8#4118yes—
1224C4×Q8—24no—
1225C4×Q8—24no—
1226C4×Q8—81no—
1227C4×Q8—81no—
1228C4×Q8—81no—
1229C4×Q8—81no—
1230C4×Q8—81no—
1231C4×Q8—82no—
1232C4×Q8—81no—
1233C4×Q8—82no—
1234C4×Q8—81no—
1235C4×Q8—82no—
1236C4×Q8—82no—
1237C4×Q8—82no—
1238C4×Q8C2×Q818yescomplemented
1239C4×D4—24no—
1240C4×D4—28no—
1241C4×D4—42no—
1242C4×D4—44no—
1243C4×D4C2×Q818yes—
1244#117—28no—
1245#117—28no—
1246#117—44no—
1247#117—81no—
1248#117C2×Q818yescomplemented
1249#117C2×Q8116yescomplemented
1250C2×C4⋊C4—28no—
1251C2×C4⋊C4—44no—
1252C2×C4⋊C4—42no—
1253C2×C4⋊C4—81no—
1254C2×C4⋊C4—81no—
1255C2×C4⋊C4—81no—
1256C2×C4⋊C4—82no—
1257C2×C4⋊C4—82no—
1258C2×C4⋊C4—82no—
1259C2×C4⋊C4C2×Q818yescomplemented
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⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2412yes—
1383C2×C22⋊C4C2411yescharacteristic
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2411yescharacteristic
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2411yescharacteristic
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C42—44no—
1406C2×C42—81no—
1407C2×C42—81no—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2411yescharacteristic
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2411yescharacteristic
1442C2×C42C2412yes—
1443C2×C42C2411yescharacteristic
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2411yescharacteristic
1447C2×C42C2412yes—
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1519#95C2411yescharacteristic
1520#95C2411yescharacteristic
1521#95C2411yescharacteristic
1522#95C2411yescharacteristic
1523#95C2411yescharacteristic
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589C24C2511yescharacteristic
1590C24C2511yescharacteristic
1591C2×Q8—22no—
1592C2×Q8—22no—
1593C2×Q8—24no—
1594C2×Q8—24no—
1595C2×Q8—24no—
1596C2×Q8—24no—
1597C2×Q8—24no—
1598C2×Q8—24no—
1599C2×Q8—24no—
1600C2×Q8—22no—
1601C2×Q8—41no—
1602C2×Q8—41no—
1603C2×Q8—41no—
1604C2×Q8—41no—
1605C2×Q8—41no—
1606C2×Q8—41no—
1607C2×Q8—41no—
1608C2×Q8—41no—
1609C2×Q8—41no—
1610C2×Q8—41no—
1611C2×Q8—42no—
1612C2×Q8—42no—
1613C2×Q8—42no—
1614C2×Q8—42no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—42no—
1618C2×Q8—42no—
1619C2×Q8—41no—
1620C2×Q8—42no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—41no—
1629C2×Q8—42no—
1630C2×Q8—88no—
1631C2×Q8—88no—
1632C2×Q8—88no—
1633C2×Q8C22×Q814yes—
1634C2×Q8C2×#4114yes—
1635C2×Q82−1+414yes—
1636C2×D4—22no—
1637C2×D4—22no—
1638C2×D4C22×Q814yes—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—22no—
1648C22×C4—24no—
1649C22×C4—22no—
1650C22×C4—24no—
1651C22×C4—22no—
1652C22×C4—41no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4C22×Q818yes—
1678C22×C4C22×Q814yes—
1679C22×C4C22×Q814yes—
1680C22×C4C2×#4114yes—
1681C22×C4C2512yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2511yescharacteristic
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2511yescharacteristic
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2511yescharacteristic
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2511yescharacteristic
1704C22×C4C2511yescharacteristic
1705C22×C4C2511yescharacteristic
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2511yescharacteristic
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—22no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—22no—
1742C4⋊C4—22no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—41no—
1753C4⋊C4—41no—
1754C4⋊C4—42no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—41no—
1761C4⋊C4—41no—
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—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—41no—
1789C4⋊C4—42no—
1790C4⋊C4—41no—
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—41no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—41no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4C22×Q814yes—
1830C4⋊C4C22×Q814yes—
1831C4⋊C4C22×Q818yes—
1832C4⋊C4C22×Q818yes—
1833C4⋊C4C22×Q814yes—
1834C4⋊C4C22×Q818yes—
1835C4⋊C4C22×Q814yes—
1836C4⋊C4C22×Q818yes—
1837C4⋊C4C22×Q818yes—
1838C4⋊C4C22×Q818yes—
1839C4⋊C4C2×#4114yes—
1840C4⋊C4C2×#4118yes—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—22no—
1844C22⋊C4—22no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—22no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—41no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4C22×Q814yes—
1858C22⋊C4C22×Q818yes—
1859C22⋊C4C22×Q818yes—
1860C22⋊C4C22×Q814yes—
1861C22⋊C4C22×Q818yes—
1862C22⋊C4C2×#4118yes—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—24no—
1867C42—22no—
1868C42—24no—
1869C42—24no—
1870C42—22no—
1871C42—24no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—41no—
1877C42—41no—
1878C42—41no—
1879C42—41no—
1880C42—41no—
1881C42—41no—
1882C42—41no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—41no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—41no—
1894C42—42no—
1895C42—42no—
1896C42—41no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42C22×Q818yes—
1912C42C22×Q818yes—
1913C42C22×Q814yes—
1914C23—21no—
1915C23—21no—
1916C23—21no—
1917C23—21no—
1918C23—21no—
1919C23—21no—
1920C23—21no—
1921C23—21no—
1922C23—21no—
1923C23—21no—
1924C23C23×Q812yes—
1925C23C23×Q812yes—
1926C23C22×#4112yes—
1927C23#58512yes—
1928C23C2611yescharacteristic
1929Q8—44no—
1930Q8—44no—
1931Q8—44no—
1932Q8—44no—
1933Q8—44no—
1934Q8—84no—
1935Q8—84no—
1936Q8—84no—
1937Q8—84no—
1938Q8—84no—
1939Q8—84no—
1940Q8—82no—
1941Q8—84no—
1942Q8—84no—
1943D4—28no—
1944C2×C4—21no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—21no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—21no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—216no—
1975C2×C4—21no—
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—22no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—21no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—21no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—21no—
2006C2×C4—21no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—44no—
2042C2×C4—44no—
2043C2×C4—44no—
2044C2×C4—44no—
2045C2×C4—48no—
2046C2×C4—44no—
2047C2×C4—82no—
2048C2×C4—84no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—84no—
2052C2×C4—84no—
2053C2×C4—162no—
2054C2×C4C23×Q812yes—
2055C2×C4C23×Q812yes—
2056C2×C4C23×Q814yes—
2057C2×C4C23×Q814yes—
2058C2×C4C23×Q814yes—
2059C2×C4C23×Q812yes—
2060C2×C4C23×Q812yes—
2061C2×C4C23×Q812yes—
2062C2×C4C23×Q814yes—
2063C2×C4C22×#4114yes—
2064C2×C4C22×#4114yes—
2065C2×C4C22×#4112yes—
2066C2×C4C22×#4112yes—
2067C2×C4C2×2−1+414yes—
2068C2×C4C2×2−1+412yes—
2069C22—22no—
2070C22—22no—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—41no—
2079C22—41no—
2080C22—41no—
2081C22—41no—
2082C22Q8×#4114yes—
2083C22C24×Q811yescharacteristic
2084C22C23×#4111yescharacteristic
2085C22C22×2−1+411yescharacteristic
2086C22C2×#58511yescharacteristic
2087C22H(7,𝔽2)11yescharacteristic
2088C22H(7,𝔽2)11yescharacteristic
2089C222−1+611yescharacteristic
2090C4—22no—
2091C4—24no—
2092C4—24no—
2093C4—22no—
2094C4—22no—
2095C4—24no—
2096C4—22no—
2097C4—22no—
2098C4—22no—
2099C4—24no—
2100C4—22no—
2101C4—24no—
2102C4—24no—
2103C4—24no—
2104C4—22no—
2105C4—41no—
2106C4—42no—
2107C4—42no—
2108C4—41no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—41no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—41no—
2124C4—41no—
2125C4—42no—
2126C4—42no—
2127C2—24no—
2128C2—42no—
2129C2C2×Q8×#4111yescharacteristic
2130C2#6284611yescharacteristic
2131C2#6285411yescharacteristic
2132C2#6290311yescharacteristic
2133C2Q8×2−1+411yescharacteristic
2134C2#6300111yescharacteristic
2135C2#6305011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59927C2semidirect
2. #59923C2semidirect
3. #59923C2semidirect
5. #59793C2semidirect
6. #59668C2semidirect
7. #52290C2semidirect
8. #52287C2semidirect
9. C2×#2806C2semidirect
10. #44667C2semidirect
11. #44419C2semidirect
12. #44317C2semidirect
13. #44255C2semidirect
14. #44189C2semidirect
17. #43573C2semidirect
18. #43556C2semidirect
19. #39978C2semidirect
20. #39968C2semidirect
21. #39709C2semidirect
22. #39703C2semidirect
24. #39663C2semidirect
25. #39647C2semidirect
26. #39640C2semidirect
27. #39368C2semidirect
28. #38455C2semidirect
29. #38446C2semidirect
30. #38103C2semidirect
31. #36279C2semidirect
34. #35810C2semidirect
35. #35743C2semidirect
39. #34272C2semidirect
398. #552Q8semidirect
1197. #126C2×Q8semidirect
1205. #125C2×Q8semidirect
1206. #125C2×Q8semidirect
1221. C22⋊Q8C2×Q8semidirect
1222. C22⋊Q8C2×Q8semidirect
1238. C4×Q8C2×Q8semidirect
1248. #117C2×Q8semidirect
1249. #117C2×Q8semidirect
1259. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599272
#599232
#599122
#597932
#596682
#522902
#522872
C2×#28062
#446672
#444192
#443172
#442552
#441892
#440252
#438912
#435732
#435562
#399782
#399682
#397092
#397032
#396872
#396632
#396472
#396402
#393682
#384552
#384462
#381032
#362792
#362772
#358622
#358102
#357432
#343342
#343142
#342972
#342722