Finite Group Databasebeta

← #7900893

Subgroups — #7900893

Order 512.

4643 conjugacy classes of subgroups.

The subgroup lattice has 2206 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59917C212yesmaximal, complemented
2#59830C211yesmaximal, characteristic, complemented
3C2×#2734C211yesmaximal, characteristic, complemented
4#52038C212yesmaximal, complemented
5#51598C212yesmaximal, complemented
6#50698C212yesmaximal, complemented
7#48860C212yesmaximal, complemented
8#48851C212yesmaximal, complemented
9#48849C212yesmaximal, complemented
10#46440C212yesmaximal, complemented
11#46438C212yesmaximal, complemented
12#46283C211yesmaximal, characteristic, complemented
13#45792C211yesmaximal, characteristic, complemented
14#43981C212yesmaximal, complemented
15#43937C212yesmaximal, complemented
16#43551C212yesmaximal, complemented
17#43132C212yesmaximal, complemented
18#43126C212yesmaximal, complemented
19#41997C212yesmaximal, complemented
20#40625C212yesmaximal, complemented
21#40621C212yesmaximal, complemented
22#40616C212yesmaximal, complemented
23#39708C211yesmaximal, characteristic, complemented
24#39632C211yesmaximal, characteristic, complemented
25#39623C211yesmaximal, characteristic, complemented
26#39621C211yesmaximal, characteristic, complemented
27#39592C212yesmaximal, complemented
28#39496C211yesmaximal, characteristic, complemented
29#38453C211yesmaximal, characteristic, complemented
30#38448C212yesmaximal, complemented
31#38103C212yesmaximal, complemented
32#37136C211yesmaximal, characteristic, complemented
33#37135C211yesmaximal, characteristic, complemented
34#36278C211yesmaximal, characteristic, complemented
35#35806C212yesmaximal, complemented
36#35574C212yesmaximal, complemented
37#35016C211yesmaximal, characteristic, complemented
38#34469C212yesmaximal
39#34308C211yesmaximal, characteristic
40C2×#554C2212yes—
41C2×#547C2211yescharacteristic
42C22×C4⋊Q8C2212yes—
43C2×#520C2212yes—
44#2863C2211yescharacteristic
45#2863C2211yescharacteristic
46#2862C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2211yescharacteristic
50#2855C2211yescharacteristic
51#2855C2212yes—
52#2843C2212yes—
53#2841C2212yes—
54#2841C2212yes—
55#2841C2212yes—
56#2811C2212yes—
57#2809C2212yes—
58#2806C2212yes—
59#2806C2212yes—
60#2806C2212yes—
61#2806C2211yescharacteristic
62#2806C2211yescharacteristic
63#2806C2212yes—
64#2806C2211yescharacteristic
65#2806C2212yes—
66#2806C2211yescharacteristic
67#2805C2212yes—
68#2805C2212yes—
69#2805C2211yescharacteristic
70#2805C2211yescharacteristic
71#2805C2212yes—
72#2804C2211yescharacteristic
73#2804C2211yescharacteristic
74#2802C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2802C2212yes—
78#2802C2212yes—
79#2802C2212yes—
80#2799C2212yes—
81#2799C2212yes—
82#2799C2212yes—
83#2792C2212yes—
84#2792C2212yes—
85#2792C2212yes—
86#2792C2212yes—
87#2792C2212yes—
88#2792C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2788C2212yes—
94#2788C2212yes—
95#2788C2212yes—
96#2788C2212yes—
97#2784C2212yes—
98#2784C2212yes—
99#2784C2212yes—
100#2780C2212yes—
101#2774C2212yes—
102#2774C2212yes—
103#2774C2212yes—
104#2774C2212yes—
105#2768C2212yes—
106#2768C2212yes—
107#2763C2212yes—
108#2763C2212yes—
109#2763C2212yes—
110#2755C2212yes—
111#2755C2212yes—
112#2748C2212yes—
113#2742C2212yes—
114#2742C2212yes—
115#2734C2212yes—
116#2734C2211yescharacteristic
117#2734C2211yescharacteristic
118#2734C2211yescharacteristic
119#2734C2212yes—
120#2734C2212yes—
121#2734C2212yes—
122#2734C2212yes—
123#2734C2211yescharacteristic
124#2734C2211yescharacteristic
125#2734C2212yes—
126#2732C2211yescharacteristic
127#2729C2212yes—
128#2729C2212yes—
129#2729C2212yes—
130#2726C2211yescharacteristic
131#2720C2212yes—
132#2720C2212yes—
133#2720C2212yes—
134#2713C2212yes—
135#2713C2212yes—
136#2713C2212yes—
137#2713C2212yes—
138#2713C2212yes—
139#2704C2212yes—
140#2692C2212yes—
141#2692C2212yes—
142#2692C2212yes—
143#2692C2212yes—
144#2683C2212yes—
145#2683C2211yescharacteristic
146#2677C2212yes—
147#2677C2212yes—
148#2677C2212yes—
149#2677C2212yes—
150#2667C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2665C2212yes—
154#2665C2212yes—
155#2665C2212yes—
156#2665C2212yes—
157#2665C2212yes—
158#2660C2212yes—
159#2659C2212yes—
160#2659C2212yes—
161#2646C2212yes—
162#2629C2212yes—
163#2627C2212yes—
164#2627C2212yes—
165#2627C2212yes—
166#2627C2212yes—
167#2608C2212yes—
168#2608C2212yes—
169#2607C2212yes—
170#2606C2212yes—
171#2605C2212yes—
172#2590C2212yes—
173#2590C2212yes—
174#2590C2212yes—
175#2589C2212yes—
176#2588C2212yes—
177#2588C2212yes—
178#2588C2212yes—
179#2587C2212yes—
180#2587C2212yes—
181#2587C2212yes—
182#2586C2212yes—
183#2586C2212yes—
184#2586C2212yes—
185#2586C2212yes—
186#2585C2212yes—
187#2585C2212yes—
188#2585C2212yes—
189#2585C2212yes—
190#2584C2212yes—
191#2583C2212yes—
192#2583C2212yes—
193#2583C2212yes—
194#2582C2212yes—
195#2579C2212yes—
196#2579C2212yes—
197#2579C2212yes—
198#2579C2212yes—
199#2579C2212yes—
200#2574C2212yes—
201#2574C2212yes—
202#2574C2212yes—
203#2569C2212yes—
204#2569C2212yes—
205#2569C2212yes—
206#2567C2212yes—
207#2565C2212yes—
208#2564C2212yes—
209#2564C2212yes—
210#2556C2212yes—
211#2556C2212yes—
212#2556C2212yes—
213#2551C2212yes—
214#2551C2212yes—
215#2550C2212yes—
216#2550C2212yes—
217#2550C2212yes—
218#2549C2212yes—
219#2549C2212yes—
220#2549C2212yes—
221#2549C2212yes—
222#2522C2212yes—
223#2520C2212yes—
224#2520C2212yes—
225#2520C2212yes—
226#2520C2212yes—
227#2511C2212yes—
228#2511C2212yes—
229#2511C2211yescharacteristic
230#2509C2212yes—
231#2507C2212yes—
232#2507C2212yes—
233#2507C2212yes—
234#2507C2212yes—
235#2507C2211yescharacteristic
236#2505C2212yes—
237#2505C2212yes—
238#2505C2212yes—
239#2502C2212yes—
240#2502C2212yes—
241#2497C2212yes—
242#2497C2211yescharacteristic
243#2492C2211yescharacteristic
244#2492C2212yes—
245#2492C2212yes—
246#2492C2212yes—
247#2487C2212yes—
248#2473C2212yes—
249#2473C2212yes—
250#2465C2212yes—
251#2465C2212yes—
252#2462C2212yes—
253#2453C2212yes—
254#2452C2212yes—
255#2452C2212yes—
256#2452C2212yes—
257#2452C2212yes—
258#2451C2212yes—
259#2451C2212yes—
260#2451C2212yes—
261#2451C2212yes—
262#2451C2212yes—
263#2451C2212yes—
264#2451C2212yes—
265#2450C2212yes—
266#2450C2212yes—
267#2450C2212yes—
268#2450C2212yes—
269#2450C2212yes—
270#2449C2212yes—
271#2449C2212yes—
272#2449C2212yes—
273#2449C2212yes—
274#2449C2212yes—
275#2449C2212yes—
276#2446C2211yescharacteristic
277#2446C2211yescharacteristic
278#2442C2212yes—
279#2442C2212yes—
280#2440C2212yes—
281#2440C2212yes—
282#2440C2212yes—
283#2440C2212yes—
284#2440C2212yes—
285#2440C2212yes—
286#2440C2212yes—
287#2440C2211yescharacteristic
288#2440C2212yes—
289#2440C2212yes—
290#2439C2212yes—
291#2439C2212yes—
292#2439C2212yes—
293#2439C2212yes—
294#2438C2212yes—
295#2438C2212yes—
296#2438C2212yes—
297#2438C2212yes—
298#2438C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2438C2212yes—
302#2434C2211yescharacteristic
303#2434C2212yes—
304#2429C2211yescharacteristic
305#2429C2212yes—
306#2429C2211yescharacteristic
307#2417C2211yescharacteristic
308#2417C2212yes—
309#2417C2211yescharacteristic
310#2417C2212yes—
311#2417C2211yescharacteristic
312#2417C2212yes—
313#2409C2212yes—
314#2409C2212yes—
315#2409C2212yes—
316#2409C2212yes—
317#2409C2211yescharacteristic
318#2396C2212yes—
319C2×#398C2212yes—
320C2×#398C2212yes—
321C2×#395C2212yes—
322C2×#395C2212yes—
323#2381C2212yes—
324#2378C2212yes—
325#2377C2212yes—
326#2376C2212yes—
327#2374C2212yes—
328#2368C2212yes—
329#2368C2212yes—
330#2365C2211yescharacteristic
331#2364C2212yes—
332#2361C2211yescharacteristic
333#2361C2211yescharacteristic
334#2360C2212yes—
335#2360C2211yescharacteristic
336#2360C2212yes—
337#2360C2211yescharacteristic
338#2359C2212yes—
339#2359C2212yes—
340#2359C2212yes—
341#2359C2212yes—
342#2355C2212yes—
343#2353C2212yes—
344#2353C2212yes—
345#2349C2212yes—
346D4×C4⋊C4C2211yescharacteristic
347D4×C4⋊C4C2211yescharacteristic
348D4×C4⋊C4C2212yes—
349D4×C4⋊C4C2212yes—
350#2345C2212yes—
351#2345C2212yes—
352#2344C2211yescharacteristic
353#2344C2211yescharacteristic
354#2344C2212yes—
355#2339C2212yes—
356#2339C2212yes—
357#2339C2212yes—
358#2335C2212yes—
359#2335C2212yes—
360#2333C2212yes—
361#2332C2212yes—
362#2331C2212yes—
363#2329C2212yes—
364#2329C2212yes—
365#2329C2212yes—
366#2329C2212yes—
367#2325C2212yes—
368#2323C2212yes—
369#2322C2212yes—
370#2322C2212yes—
371#2322C2212yes—
372#2318C2212yes—
373#2318C2212yes—
374#2317C2212yes—
375#2316C2212yes—
376#2313C2212yes—
377#2311C2212yes—
378C4×C4⋊Q8C2211yescharacteristic
379C4×C22⋊Q8C2211yescharacteristic
380C4×C22⋊Q8C2211yescharacteristic
381C4×#123C2212yes—
382C4×#121C2211yescharacteristic
383C4×#121C2211yescharacteristic
384#2297C2212yes—
385#2296C2212yes—
386#2295C2211yescharacteristic
387C2×#391C2211yescharacteristic
388#2293C2211yescharacteristic
389C2×#389C2211yescharacteristic
390C2×#389C2211yescharacteristic
391C2×#389C2211yescharacteristic
392C2×#387C2212yes—
393C2×#387C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2312yes—
396C23×Q8C2311yescharacteristic
397C23×Q8C2312yes—
398#554—48no—
399#547Q8116yescomplemented
400C2×C4⋊Q8—48no—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2311yescharacteristic
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2311yescharacteristic
414C2×C4⋊Q8C2311yescharacteristic
415C2×C4⋊Q8C2312yes—
416C2×C4⋊Q8C2311yescharacteristic
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452#520—48no—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2311yescharacteristic
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2311yescharacteristic
496C22×C42C2312yes—
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
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#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
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#391C2311yescharacteristic
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2312yes—
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2311yescharacteristic
721#391C2311yescharacteristic
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2311yescharacteristic
730#391C2311yescharacteristic
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2311yescharacteristic
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2311yescharacteristic
743#391C2311yescharacteristic
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2311yescharacteristic
748#390C2312yes—
749#390C2311yescharacteristic
750#389C2312yes—
751#389C2311yescharacteristic
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#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2311yescharacteristic
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2311yescharacteristic
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2311yescharacteristic
808#389C2312yes—
809#389C2312yes—
810#389C2311yescharacteristic
811#389C2311yescharacteristic
812#389C2311yescharacteristic
813#389C2311yescharacteristic
814#389C2311yescharacteristic
815#389C2311yescharacteristic
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2311yescharacteristic
821#389C2311yescharacteristic
822#389C2312yes—
823#389C2311yescharacteristic
824#389C2312yes—
825#389C2311yescharacteristic
826#389C2311yescharacteristic
827#389C2311yescharacteristic
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2311yescharacteristic
833#389C2312yes—
834#389C2311yescharacteristic
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
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#387C2312yes—
952#387C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
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#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#384C2311yescharacteristic
1024#384C2312yes—
1025#384C2312yes—
1026#384C2312yes—
1027#384C2312yes—
1028#384C2311yescharacteristic
1029#384C2311yescharacteristic
1030#384C2312yes—
1031#384C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2311yescharacteristic
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2311yescharacteristic
1074#380C2312yes—
1075#380C2311yescharacteristic
1076#380C2311yescharacteristic
1077#380C2312yes—
1078#380C2311yescharacteristic
1079#380C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2311yescharacteristic
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133#376C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—44no—
1147C2×#41—44no—
1148C2×#41C2×Q8116yes—
1149C22×Q8—24no—
1150C22×Q8—44no—
1151C22×Q8—81no—
1152C22×Q8—81no—
1153C22×Q8—82no—
1154C22×Q8—82no—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2411yescharacteristic
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×Q8C2412yes—
1166C22×Q8C2412yes—
1167C22×Q8C2412yes—
1168C22×Q8C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2411yescharacteristic
1171C22×D4C2411yescharacteristic
1172C22×D4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2411yescharacteristic
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C23×C4C2411yescharacteristic
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C4⋊Q8—44no—
1195C4⋊Q8—44no—
1196C4⋊Q8—44no—
1197C4⋊Q8—44no—
1198C4⋊Q8—44no—
1199C4⋊Q8—44no—
1200C4⋊Q8—44no—
1201C4⋊Q8—44no—
1202C4⋊Q8—44no—
1203C4⋊Q8—81no—
1204C4⋊Q8—81no—
1205C4⋊Q8—82no—
1206C4⋊Q8—82no—
1207C4⋊Q8—81no—
1208C4⋊Q8—81no—
1209C4⋊Q8C2×Q818yescomplemented
1210#125—44no—
1211#125—44no—
1212#125—82no—
1213#125—82no—
1214#123C2×Q8116yes—
1215#123C2×Q8116yescomplemented
1216C22⋊Q8—24no—
1217C22⋊Q8—24no—
1218C22⋊Q8—28no—
1219C22⋊Q8—44no—
1220C22⋊Q8—42no—
1221C22⋊Q8—42no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—44no—
1225C22⋊Q8—44no—
1226C22⋊Q8—44no—
1227C22⋊Q8—82no—
1228C22⋊Q8—82no—
1229C22⋊Q8—81no—
1230C22⋊Q8—82no—
1231C22⋊Q8—81no—
1232C22⋊Q8—82no—
1233C22⋊Q8—82no—
1234C22⋊Q8—82no—
1235C22⋊Q8—81no—
1236C22⋊Q8—82no—
1237C22⋊Q8—82no—
1238C22⋊Q8—82no—
1239C22⋊Q8—81no—
1240C22⋊Q8—82no—
1241C22⋊Q8—82no—
1242C22⋊Q8C2×Q8116yescomplemented
1243#121C2×Q818yes—
1244#121C2×Q818yescomplemented
1245C4×Q8—24no—
1246C4×Q8—44no—
1247C4×Q8—44no—
1248C4×Q8—44no—
1249C4×Q8—81no—
1250C4×Q8—81no—
1251C4×D4—24no—
1252C4×D4—28no—
1253C4×D4—44no—
1254C4×D4—44no—
1255C4×D4—44no—
1256C4×D4—44no—
1257C4×D4—42no—
1258C4×D4—44no—
1259C4×D4—44no—
1260C4×D4—44no—
1261C4×D4—44no—
1262C4×D4—81no—
1263C4×D4—81no—
1264C4×D4C2×Q818yes—
1265C4×D4C2×Q818yescomplemented
1266#117—44no—
1267#117—44no—
1268#117—44no—
1269#117—44no—
1270#117—44no—
1271C2×C4⋊C4—28no—
1272C2×C4⋊C4—28no—
1273C2×C4⋊C4—24no—
1274C2×C4⋊C4—44no—
1275C2×C4⋊C4—44no—
1276C2×C4⋊C4—44no—
1277C2×C4⋊C4—44no—
1278C2×C4⋊C4—44no—
1279C2×C4⋊C4—81no—
1280C2×C4⋊C4—81no—
1281C2×C4⋊C4—81no—
1282C2×C4⋊C4—82no—
1283C2×C4⋊C4—82no—
1284C2×C4⋊C4—82no—
1285C2×C4⋊C4—81no—
1286C2×C4⋊C4C2×Q818yes—
1287C2×C4⋊C4C2×Q818yescomplemented
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2411yescharacteristic
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2412yes—
1399C2×C4⋊C4C2411yescharacteristic
1400C2×C4⋊C4C2411yescharacteristic
1401C2×C4⋊C4C2411yescharacteristic
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2411yescharacteristic
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2411yescharacteristic
1407C2×C22⋊C4C2411yescharacteristic
1408C2×C22⋊C4C2411yescharacteristic
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2411yescharacteristic
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2411yescharacteristic
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2411yescharacteristic
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2411yescharacteristic
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C42—44no—
1449C2×C42—81no—
1450C2×C42—81no—
1451C2×C42C2411yescharacteristic
1452C2×C42C2412yes—
1453C2×C42C2411yescharacteristic
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2411yescharacteristic
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2411yescharacteristic
1473C2×C42C2411yescharacteristic
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1531#95C2411yescharacteristic
1532#95C2411yescharacteristic
1533#95C2411yescharacteristic
1534#95C2412yes—
1535#95C2411yescharacteristic
1536#95C2411yescharacteristic
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—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607C24C2512yes—
1608C24C2511yescharacteristic
1609C24C2511yescharacteristic
1610#41—432no—
1611C2×Q8—22no—
1612C2×Q8—24no—
1613C2×Q8—22no—
1614C2×Q8—22no—
1615C2×Q8—22no—
1616C2×Q8—22no—
1617C2×Q8—24no—
1618C2×Q8—42no—
1619C2×Q8—42no—
1620C2×Q8—42no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—41no—
1628C2×Q8—42no—
1629C2×Q8—41no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8—42no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—41no—
1642C2×Q8—41no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—88no—
1653C2×Q8—816no—
1654C2×Q8C22×Q818yes—
1655C2×D4—24no—
1656C2×D4—22no—
1657C2×D4—24no—
1658C2×D4—22no—
1659C2×D4—42no—
1660C2×D4—41no—
1661C2×D4—41no—
1662C2×D4—42no—
1663C2×D4C22×Q814yes—
1664C2×D4C22×Q818yes—
1665C2×D4C22×Q814yes—
1666C2×D4C22×Q818yes—
1667C22×C4—24no—
1668C22×C4—24no—
1669C22×C4—24no—
1670C22×C4—24no—
1671C22×C4—22no—
1672C22×C4—24no—
1673C22×C4—24no—
1674C22×C4—24no—
1675C22×C4—24no—
1676C22×C4—22no—
1677C22×C4—22no—
1678C22×C4—24no—
1679C22×C4—22no—
1680C22×C4—24no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—41no—
1684C22×C4—41no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—41no—
1688C22×C4—41no—
1689C22×C4—41no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—41no—
1696C22×C4—41no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—41no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—41no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4C22×Q818yes—
1725C22×C4C22×Q814yes—
1726C22×C4C22×Q814yes—
1727C22×C4C22×Q818yes—
1728C22×C4C22×Q818yes—
1729C22×C4H(5,𝔽2)14yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2511yescharacteristic
1736C22×C4C2512yes—
1737C22×C4C2511yescharacteristic
1738C22×C4C2511yescharacteristic
1739C22×C4C2512yes—
1740C22×C4C2511yescharacteristic
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2511yescharacteristic
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2511yescharacteristic
1755C22×C4C2511yescharacteristic
1756C22×C4C2511yescharacteristic
1757C22×C4C2511yescharacteristic
1758C22×C4C2511yescharacteristic
1759C22×C4C2512yes—
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C22×C4C2511yescharacteristic
1765C22×C4C2512yes—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—22no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—22no—
1778C4⋊C4—24no—
1779C4⋊C4—22no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
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—42no—
1796C4⋊C4—42no—
1797C4⋊C4—41no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—41no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—41no—
1804C4⋊C4—41no—
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—42no—
1816C4⋊C4—41no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
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⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—41no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—41no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—41no—
1842C4⋊C4—41no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—41no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4C22×Q814yes—
1878C4⋊C4C22×Q814yes—
1879C4⋊C4C22×Q818yes—
1880C4⋊C4C22×Q814yes—
1881C4⋊C4C22×Q818yes—
1882C4⋊C4C22×Q814yes—
1883C4⋊C4C22×Q818yes—
1884C4⋊C42−1+414yes—
1885C22⋊C4—22no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—22no—
1892C22⋊C4—22no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—41no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4C22×Q814yes—
1922C22⋊C4C22×Q814yes—
1923C22⋊C4C22×Q818yes—
1924C22⋊C4C22×Q818yes—
1925C22⋊C4C22×Q818yes—
1926C42—22no—
1927C42—24no—
1928C42—22no—
1929C42—24no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—41no—
1935C42—41no—
1936C42—41no—
1937C42—41no—
1938C42—41no—
1939C42—41no—
1940C42—41no—
1941C42—42no—
1942C42—42no—
1943C42—41no—
1944C42—42no—
1945C42—42no—
1946C42—42no—
1947C42—42no—
1948C42—42no—
1949C42—42no—
1950C42—42no—
1951C42—42no—
1952C42—42no—
1953C42—42no—
1954C42—41no—
1955C42—42no—
1956C42—42no—
1957C42—42no—
1958C42—42no—
1959C42—42no—
1960C42—41no—
1961C42C22×Q814yes—
1962C23—21no—
1963C23—21no—
1964C23—21no—
1965C23—21no—
1966C23—22no—
1967C23—21no—
1968C23—22no—
1969C23—21no—
1970C23—22no—
1971C23—21no—
1972C23—21no—
1973C23—22no—
1974C23—22no—
1975C23—21no—
1976C23—21no—
1977C23—22no—
1978C23C23×Q814yes—
1979C23C23×Q812yes—
1980C23C23×Q812yes—
1981C23C2×H(5,𝔽2)12yes—
1982C23#58512yes—
1983C23C2611yescharacteristic
1984Q8—48no—
1985Q8—82no—
1986Q8—84no—
1987Q8—82no—
1988Q8—82no—
1989Q8—84no—
1990Q8—82no—
1991Q8—82no—
1992Q8—84no—
1993Q8—84no—
1994Q8—84no—
1995Q8—84no—
1996Q8—162no—
1997Q8—162no—
1998D4—216no—
1999D4—28no—
2000D4—44no—
2001D4—48no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—21no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—21no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—21no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—216no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—21no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—44no—
2100C2×C4—44no—
2101C2×C4—48no—
2102C2×C4—48no—
2103C2×C4—44no—
2104C2×C4—48no—
2105C2×C4—44no—
2106C2×C4—48no—
2107C2×C4—84no—
2108C2×C4—82no—
2109C2×C4—84no—
2110C2×C4—82no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—84no—
2114C2×C4—84no—
2115C2×C4—162no—
2116C2×C4—162no—
2117C2×C4—162no—
2118C2×C4—162no—
2119C2×C4C23×Q812yes—
2120C2×C4C23×Q812yes—
2121C2×C4C23×Q812yes—
2122C2×C4C23×Q812yes—
2123C2×C4C23×Q812yes—
2124C2×C4C23×Q814yes—
2125C2×C4C23×Q814yes—
2126C2×C4C23×Q814yes—
2127C2×C4C2×H(5,𝔽2)12yes—
2128C2×C4C2×H(5,𝔽2)12yes—
2129C2×C4C2×2−1+414yes—
2130C2×C4C2×2−1+412yes—
2131C22—22no—
2132C22—22no—
2133C22—22no—
2134C22—22no—
2135C22—22no—
2136C22—22no—
2137C22—22no—
2138C22—24no—
2139C22—22no—
2140C22—24no—
2141C22—22no—
2142C22—24no—
2143C22—42no—
2144C22—41no—
2145C22—42no—
2146C22—41no—
2147C22—42no—
2148C22—41no—
2149C22—41no—
2150C22—42no—
2151C22#350114yes—
2152C22C24×Q811yescharacteristic
2153C22C22×H(5,𝔽2)11yescharacteristic
2154C22C22×2−1+411yescharacteristic
2155C22C2×#58511yescharacteristic
2156C22H(7,𝔽2)11yescharacteristic
2157C22H(7,𝔽2)11yescharacteristic
2158C222−1+611yescharacteristic
2159C4—22no—
2160C4—24no—
2161C4—24no—
2162C4—22no—
2163C4—24no—
2164C4—22no—
2165C4—22no—
2166C4—22no—
2167C4—22no—
2168C4—22no—
2169C4—24no—
2170C4—22no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—41no—
2177C4—42no—
2178C4—42no—
2179C4—41no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—41no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—42no—
2191C4—41no—
2192C4—41no—
2193C4—42no—
2194C4—42no—
2195C2—24no—
2196C2—42no—
2197C2—44no—
2198C2C2×#350111yescharacteristic
2199C2#6285411yescharacteristic
2200C2#6286311yescharacteristic
2201C2#6294211yescharacteristic
2202C2#6295811yescharacteristic
2203C2Q8×2−1+411yescharacteristic
2204C2#6305911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59917C2semidirect
2. #59830C2semidirect
3. C2×#2734C2semidirect
4. #52038C2semidirect
5. #51598C2semidirect
6. #50698C2semidirect
7. #48860C2semidirect
8. #48851C2semidirect
9. #48849C2semidirect
10. #46440C2semidirect
11. #46438C2semidirect
12. #46283C2semidirect
13. #45792C2semidirect
14. #43981C2semidirect
15. #43937C2semidirect
16. #43551C2semidirect
17. #43132C2semidirect
18. #43126C2semidirect
19. #41997C2semidirect
20. #40625C2semidirect
21. #40621C2semidirect
22. #40616C2semidirect
23. #39708C2semidirect
24. #39632C2semidirect
25. #39623C2semidirect
26. #39621C2semidirect
27. #39592C2semidirect
28. #39496C2semidirect
29. #38453C2semidirect
30. #38448C2semidirect
31. #38103C2semidirect
32. #37136C2semidirect
33. #37135C2semidirect
34. #36278C2semidirect
35. #35806C2semidirect
36. #35574C2semidirect
37. #35016C2semidirect
399. #547Q8semidirect
1209. C4⋊Q8C2×Q8semidirect
1215. #123C2×Q8semidirect
1242. C22⋊Q8C2×Q8semidirect
1244. #121C2×Q8semidirect
1265. C4×D4C2×Q8semidirect
1287. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599172
#598302
C2×#27342
#520382
#515982
#506982
#488602
#488512
#488492
#464402
#464382
#462832
#457922
#439812
#439372
#435512
#431322
#431262
#419972
#406252
#406212
#406162
#397082
#396322
#396232
#396212
#395922
#394962
#384532
#384482
#381032
#371362
#371352
#362782
#358062
#355742
#350162
#344692
#343082