Finite Group Databasebeta

← #7898431

Subgroups — #7898431

Order 512.

4499 conjugacy classes of subgroups.

The subgroup lattice has 2176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59927C211yesmaximal, characteristic, complemented
2#59096C212yesmaximal, complemented
3#52162C211yesmaximal, characteristic, complemented
4#50903C212yesmaximal, complemented
5#50703C212yesmaximal, complemented
6#48853C212yesmaximal, complemented
7#48844C212yesmaximal, complemented
8#47973C212yesmaximal, complemented
9#47966C212yesmaximal, complemented
10#47734C212yesmaximal, complemented
11#46843C212yesmaximal, complemented
12#45793C211yesmaximal, characteristic, complemented
13#45793C211yesmaximal, characteristic, complemented
14#44879C212yesmaximal, complemented
15#44597C212yesmaximal, complemented
16#44419C212yesmaximal, complemented
17#43561C212yesmaximal, complemented
18#43560C212yesmaximal, complemented
19#42187C212yesmaximal, complemented
20#42003C212yesmaximal, complemented
21#40633C212yesmaximal, complemented
22#40628C212yesmaximal, complemented
23#39710C211yesmaximal, characteristic, complemented
24#39704C212yesmaximal, complemented
25#39701C211yesmaximal, characteristic, complemented
26#39615C211yesmaximal, characteristic, complemented
27#39368C211yesmaximal, characteristic, complemented
28#38452C211yesmaximal, characteristic, complemented
29#38446C211yesmaximal, characteristic, complemented
30#38440C212yesmaximal, complemented
31#37691C212yesmaximal, complemented
32#37309C211yesmaximal, characteristic, complemented
33#37135C211yesmaximal, characteristic, complemented
34#36277C211yesmaximal, characteristic, complemented
35#35963C212yesmaximal, complemented
36#35398C212yesmaximal, complemented
37#35177C211yesmaximal, characteristic, complemented
38#34509C212yesmaximal
39#34323C211yesmaximal, characteristic
40C2×#553C2211yescharacteristic
41C2×D4×Q8C2212yes—
42C2×#544C2212yes—
43C2×#533C2212yes—
44#2863C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2855C2211yescharacteristic
49#2855C2211yescharacteristic
50#2855C2211yescharacteristic
51#2851C2212yes—
52#2844C2212yes—
53#2841C2212yes—
54#2841C2212yes—
55#2841C2212yes—
56#2806C2211yescharacteristic
57#2806C2211yescharacteristic
58#2806C2212yes—
59#2806C2212yes—
60#2805C2211yescharacteristic
61#2805C2211yescharacteristic
62#2805C2212yes—
63#2805C2212yes—
64#2804C2212yes—
65#2802C2212yes—
66#2802C2212yes—
67#2802C2212yes—
68#2792C2212yes—
69#2792C2212yes—
70#2792C2212yes—
71#2792C2212yes—
72#2792C2212yes—
73#2791C2212yes—
74#2791C2212yes—
75#2790C2212yes—
76#2788C2212yes—
77#2788C2212yes—
78#2788C2212yes—
79#2788C2212yes—
80#2784C2212yes—
81#2784C2212yes—
82#2784C2212yes—
83#2780C2212yes—
84#2780C2212yes—
85#2774C2212yes—
86#2774C2212yes—
87#2774C2212yes—
88#2763C2212yes—
89#2755C2212yes—
90#2755C2212yes—
91#2748C2212yes—
92#2748C2212yes—
93#2748C2212yes—
94#2742C2212yes—
95#2742C2212yes—
96#2734C2211yescharacteristic
97#2734C2211yescharacteristic
98#2734C2211yescharacteristic
99#2732C2212yes—
100#2732C2211yescharacteristic
101#2732C2212yes—
102#2732C2211yescharacteristic
103#2732C2211yescharacteristic
104#2732C2212yes—
105#2729C2212yes—
106#2729C2212yes—
107#2729C2212yes—
108#2729C2212yes—
109#2729C2212yes—
110#2729C2212yes—
111#2729C2212yes—
112#2729C2212yes—
113#2726C2211yescharacteristic
114#2726C2211yescharacteristic
115#2726C2211yescharacteristic
116#2726C2211yescharacteristic
117#2726C2211yescharacteristic
118#2720C2212yes—
119#2720C2212yes—
120#2720C2212yes—
121#2720C2212yes—
122#2720C2212yes—
123#2720C2212yes—
124#2713C2212yes—
125#2713C2212yes—
126#2713C2212yes—
127#2713C2212yes—
128#2713C2212yes—
129#2713C2212yes—
130#2713C2212yes—
131#2713C2212yes—
132#2713C2212yes—
133#2704C2212yes—
134#2704C2212yes—
135#2704C2212yes—
136#2704C2212yes—
137#2704C2212yes—
138#2704C2212yes—
139#2704C2212yes—
140#2692C2212yes—
141#2692C2212yes—
142#2692C2212yes—
143#2692C2212yes—
144#2692C2212yes—
145#2683C2212yes—
146#2683C2212yes—
147#2683C2212yes—
148#2683C2211yescharacteristic
149#2677C2212yes—
150#2667C2212yes—
151#2667C2212yes—
152#2667C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2666C2212yes—
156#2665C2212yes—
157#2665C2212yes—
158#2665C2212yes—
159#2665C2212yes—
160#2660C2212yes—
161#2659C2212yes—
162#2647C2212yes—
163#2629C2212yes—
164#2628C2212yes—
165#2627C2212yes—
166#2627C2212yes—
167#2612C2212yes—
168#2612C2212yes—
169#2607C2212yes—
170#2607C2212yes—
171#2606C2212yes—
172#2605C2212yes—
173#2605C2212yes—
174#2605C2212yes—
175#2590C2212yes—
176#2590C2212yes—
177#2590C2212yes—
178#2589C2212yes—
179#2589C2212yes—
180#2589C2212yes—
181#2588C2212yes—
182#2588C2212yes—
183#2588C2212yes—
184#2588C2212yes—
185#2588C2212yes—
186#2587C2212yes—
187#2587C2212yes—
188#2587C2212yes—
189#2587C2212yes—
190#2587C2212yes—
191#2586C2212yes—
192#2586C2212yes—
193#2586C2212yes—
194#2586C2212yes—
195#2586C2212yes—
196#2586C2212yes—
197#2585C2212yes—
198#2585C2212yes—
199#2585C2212yes—
200#2584C2212yes—
201#2583C2212yes—
202#2579C2212yes—
203#2574C2212yes—
204#2569C2212yes—
205#2569C2212yes—
206#2569C2212yes—
207#2567C2211yescharacteristic
208#2566C2212yes—
209#2564C2212yes—
210#2564C2212yes—
211#2564C2212yes—
212#2564C2212yes—
213#2563C2211yescharacteristic
214#2556C2212yes—
215#2556C2212yes—
216#2556C2212yes—
217#2556C2212yes—
218#2552C2212yes—
219#2552C2212yes—
220#2551C2212yes—
221#2551C2212yes—
222#2551C2211yescharacteristic
223#2550C2212yes—
224#2550C2212yes—
225#2550C2212yes—
226#2550C2212yes—
227#2550C2212yes—
228#2549C2212yes—
229#2549C2212yes—
230#2549C2212yes—
231#2549C2212yes—
232#2549C2212yes—
233#2549C2212yes—
234#2546C2212yes—
235#2538C2211yescharacteristic
236#2522C2212yes—
237#2522C2212yes—
238#2522C2212yes—
239#2520C2212yes—
240#2520C2212yes—
241#2520C2212yes—
242#2520C2212yes—
243#2511C2211yescharacteristic
244#2511C2212yes—
245#2509C2212yes—
246#2506C2212yes—
247#2506C2212yes—
248#2505C2212yes—
249#2505C2212yes—
250#2505C2212yes—
251#2505C2212yes—
252#2497C2212yes—
253#2497C2212yes—
254#2497C2211yescharacteristic
255#2497C2212yes—
256#2497C2211yescharacteristic
257#2492C2211yescharacteristic
258#2492C2212yes—
259#2492C2211yescharacteristic
260#2492C2211yescharacteristic
261#2492C2212yes—
262#2487C2211yescharacteristic
263#2473C2212yes—
264#2473C2212yes—
265#2465C2212yes—
266#2465C2212yes—
267#2465C2212yes—
268#2465C2212yes—
269#2462C2212yes—
270#2462C2212yes—
271#2462C2212yes—
272#2454C2212yes—
273#2454C2212yes—
274#2454C2212yes—
275#2454C2212yes—
276#2452C2212yes—
277#2452C2212yes—
278#2452C2212yes—
279#2451C2212yes—
280#2451C2211yescharacteristic
281#2451C2212yes—
282#2451C2212yes—
283#2450C2212yes—
284#2450C2212yes—
285#2450C2212yes—
286#2450C2212yes—
287#2450C2212yes—
288#2449C2212yes—
289#2446C2212yes—
290#2446C2212yes—
291#2446C2212yes—
292#2442C2212yes—
293#2441C2212yes—
294#2441C2212yes—
295#2440C2212yes—
296#2440C2212yes—
297#2439C2212yes—
298#2439C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2438C2212yes—
302#2438C2212yes—
303#2438C2212yes—
304#2434C2212yes—
305#2434C2212yes—
306#2434C2212yes—
307#2434C2212yes—
308#2429C2212yes—
309#2423C2212yes—
310#2423C2212yes—
311#2423C2211yescharacteristic
312#2423C2212yes—
313#2417C2212yes—
314#2417C2212yes—
315#2409C2212yes—
316#2409C2212yes—
317#2409C2211yescharacteristic
318#2402C2212yes—
319#2399C2212yes—
320#2396C2212yes—
321#2396C2212yes—
322#2396C2212yes—
323#2383C2212yes—
324#2377C2212yes—
325#2377C2212yes—
326#2377C2212yes—
327#2374C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2371C2212yes—
331#2370C2211yescharacteristic
332#2370C2212yes—
333#2370C2212yes—
334#2370C2212yes—
335#2369C2212yes—
336#2368C2212yes—
337#2365C2212yes—
338#2363C2211yescharacteristic
339#2363C2212yes—
340#2361C2212yes—
341#2361C2211yescharacteristic
342#2360C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2357C2212yes—
346#2354C2212yes—
347#2353C2212yes—
348#2353C2212yes—
349#2352C2211yescharacteristic
350#2352C2212yes—
351#2349C2211yescharacteristic
352#2346C2211yescharacteristic
353#2345C2211yescharacteristic
354#2345C2211yescharacteristic
355#2344C2212yes—
356#2343C2212yes—
357Q8×C22⋊C4C2211yescharacteristic
358#2336C2212yes—
359#2335C2212yes—
360#2335C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2333C2212yes—
365#2333C2212yes—
366#2331C2212yes—
367#2331C2212yes—
368#2329C2212yes—
369#2329C2212yes—
370#2325C2212yes—
371#2325C2212yes—
372#2324C2212yes—
373#2319C2212yes—
374#2318C2212yes—
375#2314C2212yes—
376#2313C2212yes—
377C4×C4⋊Q8C2211yescharacteristic
378C4×#125C2211yescharacteristic
379C4×C22⋊Q8C2212yes—
380C4×C22⋊Q8C2211yescharacteristic
381C4×#123C2212yes—
382C4×#121C2211yescharacteristic
383C4×#121C2211yescharacteristic
384#2296C2211yescharacteristic
385#2295C2211yescharacteristic
386#2295C2211yescharacteristic
387C2×#391C2212yes—
388C2×#391C2211yescharacteristic
389#2293C2211yescharacteristic
390C2×#389C2211yescharacteristic
391#2290C2212yes—
392#2290C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396C23×Q8C2312yes—
397#553Q8116yescomplemented
398D4×Q8—48no—
399#544—48no—
400#533—48no—
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⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2311yescharacteristic
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2311yescharacteristic
414C2×C4⋊Q8C2312yes—
415C2×#126C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#125C2311yescharacteristic
427C2×#123C2312yes—
428C2×C22⋊Q8C2312yes—
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⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2311yescharacteristic
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2311yescharacteristic
479C2×#117C2311yescharacteristic
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2311yescharacteristic
485C22×C42C2312yes—
486C22×C42C2311yescharacteristic
487C22×C42C2311yescharacteristic
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
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#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
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#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#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#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#391C2312yes—
680#391C2311yescharacteristic
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#391C2311yescharacteristic
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
711#391C2311yescharacteristic
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2311yescharacteristic
722#391C2312yes—
723#391C2312yes—
724#391C2311yescharacteristic
725#391C2311yescharacteristic
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2311yescharacteristic
736#390C2311yescharacteristic
737#389C2311yescharacteristic
738#389C2311yescharacteristic
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2311yescharacteristic
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#389C2311yescharacteristic
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#389C2311yescharacteristic
775#389C2311yescharacteristic
776#389C2311yescharacteristic
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2311yescharacteristic
798#389C2311yescharacteristic
799#389C2311yescharacteristic
800#389C2311yescharacteristic
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2312yes—
804#389C2311yescharacteristic
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2311yescharacteristic
809#389C2311yescharacteristic
810#389C2312yes—
811#389C2311yescharacteristic
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2311yescharacteristic
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
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#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#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
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#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#384C2311yescharacteristic
1009#384C2312yes—
1010#384C2311yescharacteristic
1011#384C2311yescharacteristic
1012#384C2312yes—
1013#384C2311yescharacteristic
1014#384C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#382C2311yescharacteristic
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2311yescharacteristic
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C22×Q8—24no—
1147C22×Q8—44no—
1148C22×Q8—42no—
1149C22×Q8—44no—
1150C22×Q8—81no—
1151C22×Q8—82no—
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2412yes—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×Q8C2411yescharacteristic
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2411yescharacteristic
1167C22×D4C2412yes—
1168C23×C4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2411yescharacteristic
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C4⋊Q8—28no—
1186C4⋊Q8—28no—
1187C4⋊Q8—42no—
1188C4⋊Q8—44no—
1189C4⋊Q8—44no—
1190C4⋊Q8—44no—
1191C4⋊Q8—44no—
1192C4⋊Q8—44no—
1193C4⋊Q8—44no—
1194C4⋊Q8—44no—
1195C4⋊Q8—81no—
1196C4⋊Q8—81no—
1197C4⋊Q8—81no—
1198C4⋊Q8—82no—
1199#126C2×Q8116yescomplemented
1200#125—44no—
1201#125—44no—
1202#125—44no—
1203#125—44no—
1204#125—44no—
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#125—44no—
1209#125—82no—
1210#125C2×Q818yescomplemented
1211#123C2×Q8116yescomplemented
1212C22⋊Q8—28no—
1213C22⋊Q8—24no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—44no—
1225C22⋊Q8—44no—
1226C22⋊Q8—44no—
1227C22⋊Q8—44no—
1228C22⋊Q8—44no—
1229C22⋊Q8—82no—
1230C22⋊Q8—82no—
1231C22⋊Q8—82no—
1232C22⋊Q8—81no—
1233C22⋊Q8—82no—
1234C22⋊Q8—81no—
1235C22⋊Q8—81no—
1236#121C2×Q818yes—
1237#121C2×Q8116yescomplemented
1238#121C2×Q818yescomplemented
1239C4×Q8—24no—
1240C4×Q8—44no—
1241C4×Q8—44no—
1242C4×Q8—42no—
1243C4×Q8—44no—
1244C4×Q8—44no—
1245C4×Q8—81no—
1246C4×D4—42no—
1247C4×D4—44no—
1248C4×D4—44no—
1249C4×D4—42no—
1250C4×D4—44no—
1251C4×D4—44no—
1252C4×D4—44no—
1253C4×D4—81no—
1254C4×D4—81no—
1255C4×D4C2×Q8116yescomplemented
1256C4×D4C2×Q818yescomplemented
1257C4×D4C2×Q818yescomplemented
1258#117—44no—
1259#117—44no—
1260#117—44no—
1261#117—44no—
1262#117—81no—
1263#117C2×Q818yescomplemented
1264C2×C4⋊C4—42no—
1265C2×C4⋊C4—44no—
1266C2×C4⋊C4—81no—
1267C2×C4⋊C4—82no—
1268C2×C4⋊C4C2×Q818yescomplemented
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊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⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2411yescharacteristic
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2411yescharacteristic
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2411yescharacteristic
1387C2×C4⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2411yescharacteristic
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2411yescharacteristic
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2411yescharacteristic
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2411yescharacteristic
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2411yescharacteristic
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2411yescharacteristic
1432C2×C22⋊C4C2412yes—
1433C2×C42—44no—
1434C2×C42—81no—
1435C2×C42—81no—
1436C2×C42C2411yescharacteristic
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2411yescharacteristic
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2411yescharacteristic
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476#95C2412yes—
1477#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1517#95C2412yes—
1518#95C2412yes—
1519#95C2411yescharacteristic
1520#95C2411yescharacteristic
1521#95C2411yescharacteristic
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
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—
1594C24C2511yescharacteristic
1595C24C2512yes—
1596C24C2511yescharacteristic
1597C2×Q8—24no—
1598C2×Q8—24no—
1599C2×Q8—24no—
1600C2×Q8—22no—
1601C2×Q8—24no—
1602C2×Q8—22no—
1603C2×Q8—24no—
1604C2×Q8—41no—
1605C2×Q8—41no—
1606C2×Q8—42no—
1607C2×Q8—42no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8—42no—
1611C2×Q8—42no—
1612C2×Q8—41no—
1613C2×Q8—42no—
1614C2×Q8—41no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—42no—
1618C2×Q8—42no—
1619C2×Q8—42no—
1620C2×Q8—41no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—41no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—88no—
1633C2×Q8—816no—
1634C2×Q8H(5,𝔽2)14yes—
1635C2×D4—42no—
1636C2×D4—41no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—41no—
1640C2×D4—41no—
1641C2×D4—42no—
1642C2×D4—41no—
1643C2×D4C22×Q814yes—
1644C2×D4C22×Q818yes—
1645C2×D4C22×Q814yes—
1646C2×D4C22×Q818yes—
1647C22×C4—24no—
1648C22×C4—22no—
1649C22×C4—22no—
1650C22×C4—22no—
1651C22×C4—24no—
1652C22×C4—22no—
1653C22×C4—22no—
1654C22×C4—24no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—42no—
1664C22×C4—41no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—41no—
1668C22×C4—41no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—41no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—41no—
1678C22×C4—41no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4C22×Q818yes—
1695C22×C4C22×Q814yes—
1696C22×C4C22×Q814yes—
1697C22×C4C22×Q818yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2511yescharacteristic
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2511yescharacteristic
1723C22×C4C2511yescharacteristic
1724C22×C4C2511yescharacteristic
1725C22×C4C2512yes—
1726C22×C4C2511yescharacteristic
1727C22×C4C2511yescharacteristic
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2511yescharacteristic
1732C22×C4C2511yescharacteristic
1733C22×C4C2511yescharacteristic
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—22no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—22no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—22no—
1753C4⋊C4—22no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—22no—
1757C4⋊C4—22no—
1758C4⋊C4—24no—
1759C4⋊C4—41no—
1760C4⋊C4—41no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—41no—
1764C4⋊C4—41no—
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—41no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—41no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—41no—
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—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—41no—
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—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—41no—
1846C4⋊C4C22×Q814yes—
1847C4⋊C4C22×Q814yes—
1848C4⋊C4C22×Q818yes—
1849C4⋊C4C22×Q814yes—
1850C4⋊C4C22×Q818yes—
1851C4⋊C4C22×Q814yes—
1852C4⋊C4C22×Q818yes—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—22no—
1857C22⋊C4—24no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—41no—
1872C22⋊C4—41no—
1873C22⋊C4—42no—
1874C22⋊C4—41no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4C22×Q818yes—
1893C22⋊C4C22×Q814yes—
1894C22⋊C4C22×Q818yes—
1895C22⋊C4C22×Q818yes—
1896C22⋊C4C22×Q814yes—
1897C22⋊C4C22×Q818yes—
1898C42—24no—
1899C42—24no—
1900C42—22no—
1901C42—24no—
1902C42—22no—
1903C42—42no—
1904C42—42no—
1905C42—41no—
1906C42—41no—
1907C42—41no—
1908C42—41no—
1909C42—41no—
1910C42—41no—
1911C42—41no—
1912C42—41no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—41no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—41no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42C22×Q818yes—
1937C42C22×Q814yes—
1938C23—21no—
1939C23—22no—
1940C23—21no—
1941C23—22no—
1942C23—21no—
1943C23—21no—
1944C23—22no—
1945C23—21no—
1946C23—21no—
1947C23—21no—
1948C23—21no—
1949C23—22no—
1950C23—21no—
1951C23—22no—
1952C23—21no—
1953C23—21no—
1954C23—22no—
1955C23—21no—
1956C23C23×Q814yes—
1957C23C23×Q812yes—
1958C23C23×Q812yes—
1959C23C2611yescharacteristic
1960Q8—44no—
1961Q8—48no—
1962Q8—82no—
1963Q8—84no—
1964Q8—84no—
1965Q8—84no—
1966Q8—82no—
1967Q8—84no—
1968Q8—84no—
1969Q8—84no—
1970Q8—162no—
1971Q8—162no—
1972D4—48no—
1973D4—44no—
1974D4—48no—
1975D4—44no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—22no—
1984C2×C4—21no—
1985C2×C4—22no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—21no—
1994C2×C4—21no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—21no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—21no—
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—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—21no—
2072C2×C4—48no—
2073C2×C4—48no—
2074C2×C4—44no—
2075C2×C4—44no—
2076C2×C4—44no—
2077C2×C4—48no—
2078C2×C4—82no—
2079C2×C4—82no—
2080C2×C4—82no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—162no—
2086C2×C4—162no—
2087C2×C4—162no—
2088C2×C4—162no—
2089C2×C4C23×Q812yes—
2090C2×C4C23×Q814yes—
2091C2×C4C23×Q812yes—
2092C2×C4C23×Q814yes—
2093C2×C4C23×Q812yes—
2094C2×C4C23×Q812yes—
2095C2×C4C23×Q812yes—
2096C2×C4C23×Q814yes—
2097C2×C4C2×H(5,𝔽2)14yes—
2098C2×C4C2×H(5,𝔽2)12yes—
2099C2×C4#58512yes—
2100C2×C4#58512yes—
2101C22—22no—
2102C22—24no—
2103C22—22no—
2104C22—22no—
2105C22—24no—
2106C22—22no—
2107C22—22no—
2108C22—22no—
2109C22—24no—
2110C22—41no—
2111C22—41no—
2112C22—42no—
2113C22—41no—
2114C22—41no—
2115C22—42no—
2116C22—41no—
2117C22—42no—
2118C22—41no—
2119C22—42no—
2120C22—41no—
2121C22—41no—
2122C22C24×Q811yescharacteristic
2123C22C22×H(5,𝔽2)11yescharacteristic
2124C22C2×#58511yescharacteristic
2125C22C2×#58511yescharacteristic
2126C22H(7,𝔽2)11yescharacteristic
2127C222−1+611yescharacteristic
2128C222−1+611yescharacteristic
2129C4—22no—
2130C4—24no—
2131C4—24no—
2132C4—22no—
2133C4—24no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—24no—
2140C4—22no—
2141C4—41no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—41no—
2146C4—41no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—41no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—41no—
2165C2—42no—
2166C2—44no—
2167C2—42no—
2168C2#6281311yescharacteristic
2169C2#6285411yescharacteristic
2170C2#6287211yescharacteristic
2171C2#6290011yescharacteristic
2172C2#6292211yescharacteristic
2173C2Q8×H(5,𝔽2)11yescharacteristic
2174C2#6306211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
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. #59096C2semidirect
3. #52162C2semidirect
4. #50903C2semidirect
5. #50703C2semidirect
6. #48853C2semidirect
7. #48844C2semidirect
8. #47973C2semidirect
9. #47966C2semidirect
10. #47734C2semidirect
11. #46843C2semidirect
12. #45793C2semidirect
13. #45793C2semidirect
14. #44879C2semidirect
15. #44597C2semidirect
16. #44419C2semidirect
17. #43561C2semidirect
18. #43560C2semidirect
19. #42187C2semidirect
20. #42003C2semidirect
21. #40633C2semidirect
22. #40628C2semidirect
23. #39710C2semidirect
24. #39704C2semidirect
25. #39701C2semidirect
26. #39615C2semidirect
27. #39368C2semidirect
28. #38452C2semidirect
29. #38446C2semidirect
30. #38440C2semidirect
31. #37691C2semidirect
32. #37309C2semidirect
33. #37135C2semidirect
34. #36277C2semidirect
35. #35963C2semidirect
36. #35398C2semidirect
37. #35177C2semidirect
397. #553Q8semidirect
1199. #126C2×Q8semidirect
1210. #125C2×Q8semidirect
1211. #123C2×Q8semidirect
1237. #121C2×Q8semidirect
1238. #121C2×Q8semidirect
1255. C4×D4C2×Q8semidirect
1256. C4×D4C2×Q8semidirect
1257. C4×D4C2×Q8semidirect
1263. #117C2×Q8semidirect
1268. 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
#590962
#521622
#509032
#507032
#488532
#488442
#479732
#479662
#477342
#468432
#457932
#448792
#445972
#444192
#435612
#435602
#421872
#420032
#406332
#406282
#397102
#397042
#397012
#396152
#393682
#384522
#384462
#384402
#376912
#373092
#371352
#362772
#359632
#353982
#351772
#345092
#343232