Finite Group Databasebeta

← #7689010

Subgroups — #7689010

Order 512.

5164 conjugacy classes of subgroups.

The subgroup lattice has 2236 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60046C211yesmaximal, characteristic, complemented
2#60043C211yesmaximal, characteristic, complemented
3#59995C212yesmaximal, complemented
4#59969C212yesmaximal, complemented
5#59941C211yesmaximal, characteristic, complemented
6#59932C212yesmaximal, complemented
7#59913C212yesmaximal, complemented
8#59688C212yesmaximal, complemented
9#59092C212yesmaximal, complemented
10#44865C212yesmaximal, complemented
11#44861C211yesmaximal, characteristic, complemented
12#44860C211yesmaximal, characteristic, complemented
13#44841C211yesmaximal, characteristic, complemented
14#44758C211yesmaximal, characteristic, complemented
15#44217C212yesmaximal, complemented
16#43981C212yesmaximal, complemented
17#43462C211yesmaximal, characteristic, complemented
18#43289C211yesmaximal, characteristic, complemented
19#38863C212yesmaximal, complemented
20#38854C212yesmaximal, complemented
21#38851C212yesmaximal, complemented
22#38839C212yesmaximal, complemented
23#38209C212yesmaximal, complemented
24#37779C212yesmaximal, complemented
25#36376C211yesmaximal, characteristic, complemented
26#36364C212yesmaximal, complemented
27#36363C212yesmaximal, complemented
28#36328C212yesmaximal, complemented
29#36309C212yesmaximal, complemented
30#36308C212yesmaximal, complemented
31#36086C211yesmaximal, characteristic, complemented
32#36001C211yesmaximal, characteristic, complemented
33#35740C212yesmaximal, complemented
34#34962C211yesmaximal, characteristic, complemented
35#34950C211yesmaximal, characteristic, complemented
36C2×#2586C211yesmaximal, characteristic, complemented
37#34308C212yesmaximal, complemented
38#34276C212yesmaximal, complemented
39#34153C212yesmaximal, complemented
40C2×#552C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#547C2212yes—
43C2×#536C2212yes—
44C2×#529C2212yes—
45C2×#520C2211yescharacteristic
46C2×#520C2212yes—
47C2×#519C2211yescharacteristic
48#2866C2212yes—
49#2865C2212yes—
50#2864C2212yes—
51#2861C2211yescharacteristic
52#2857C2211yescharacteristic
53#2853C2212yes—
54#2852C2212yes—
55#2851C2212yes—
56#2850C2211yescharacteristic
57#2807C2212yes—
58#2805C2212yes—
59#2802C2212yes—
60#2801C2212yes—
61#2799C2211yescharacteristic
62#2796C2212yes—
63#2795C2212yes—
64#2794C2211yescharacteristic
65#2792C2212yes—
66#2792C2212yes—
67#2790C2212yes—
68#2777C2212yes—
69#2774C2212yes—
70#2773C2212yes—
71#2772C2212yes—
72#2772C2212yes—
73#2766C2212yes—
74#2763C2212yes—
75#2754C2212yes—
76#2747C2212yes—
77#2745C2212yes—
78#2742C2212yes—
79#2729C2212yes—
80#2728C2211yescharacteristic
81#2725C2212yes—
82#2724C2211yescharacteristic
83#2720C2212yes—
84#2718C2212yes—
85#2716C2212yes—
86#2716C2212yes—
87#2715C2212yes—
88#2713C2212yes—
89#2712C2212yes—
90#2705C2212yes—
91#2704C2212yes—
92#2702C2212yes—
93#2700C2212yes—
94#2698C2212yes—
95#2698C2212yes—
96#2691C2212yes—
97#2683C2211yescharacteristic
98#2680C2211yescharacteristic
99#2677C2212yes—
100#2674C2212yes—
101#2672C2212yes—
102#2638C2212yes—
103#2637C2211yescharacteristic
104#2637C2211yescharacteristic
105#2634C2211yescharacteristic
106#2633C2211yescharacteristic
107#2632C2212yes—
108#2623C2211yescharacteristic
109#2618C2212yes—
110#2614C2211yescharacteristic
111#2610C2212yes—
112#2606C2212yes—
113#2605C2212yes—
114#2604C2211yescharacteristic
115#2603C2211yescharacteristic
116#2602C2212yes—
117#2599C2211yescharacteristic
118#2599C2212yes—
119#2599C2211yescharacteristic
120#2597C2212yes—
121#2596C2212yes—
122#2595C2212yes—
123#2593C2211yescharacteristic
124#2590C2212yes—
125#2590C2212yes—
126#2589C2212yes—
127#2589C2212yes—
128#2589C2212yes—
129#2588C2212yes—
130#2587C2212yes—
131#2587C2212yes—
132#2586C2212yes—
133#2586C2212yes—
134#2586C2212yes—
135#2586C2212yes—
136#2586C2211yescharacteristic
137#2586C2211yescharacteristic
138#2586C2212yes—
139#2586C2211yescharacteristic
140#2586C2211yescharacteristic
141#2586C2212yes—
142#2586C2212yes—
143#2586C2212yes—
144#2586C2211yescharacteristic
145#2585C2212yes—
146#2585C2212yes—
147#2584C2211yescharacteristic
148#2584C2211yescharacteristic
149#2583C2212yes—
150#2583C2212yes—
151#2582C2211yescharacteristic
152#2581C2211yescharacteristic
153#2579C2212yes—
154#2574C2212yes—
155#2573C2212yes—
156#2573C2212yes—
157#2572C2211yescharacteristic
158#2570C2212yes—
159#2567C2212yes—
160#2565C2211yescharacteristic
161#2557C2212yes—
162#2556C2212yes—
163#2556C2212yes—
164#2556C2212yes—
165#2555C2211yescharacteristic
166#2554C2212yes—
167#2551C2211yescharacteristic
168#2550C2212yes—
169#2545C2211yescharacteristic
170#2543C2212yes—
171#2536C2211yescharacteristic
172#2533C2212yes—
173#2533C2212yes—
174#2532C2212yes—
175#2531C2212yes—
176#2530C2212yes—
177#2530C2212yes—
178#2529C2212yes—
179#2529C2212yes—
180#2529C2212yes—
181#2528C2212yes—
182#2527C2212yes—
183#2527C2212yes—
184#2524C2212yes—
185#2524C2212yes—
186#2523C2212yes—
187#2522C2212yes—
188#2522C2212yes—
189#2522C2212yes—
190#2521C2212yes—
191#2521C2212yes—
192#2521C2212yes—
193#2520C2212yes—
194#2520C2212yes—
195#2519C2212yes—
196#2518C2212yes—
197#2516C2212yes—
198#2515C2212yes—
199#2515C2212yes—
200#2507C2212yes—
201#2507C2212yes—
202#2505C2212yes—
203#2501C2211yescharacteristic
204#2499C2211yescharacteristic
205#2498C2211yescharacteristic
206#2493C2212yes—
207#2488C2212yes—
208#2488C2212yes—
209#2484C2211yescharacteristic
210#2481C2212yes—
211#2479C2212yes—
212#2479C2212yes—
213#2477C2212yes—
214#2477C2212yes—
215#2477C2212yes—
216#2475C2212yes—
217#2474C2212yes—
218#2474C2212yes—
219#2474C2212yes—
220#2473C2212yes—
221#2473C2212yes—
222#2473C2212yes—
223#2470C2212yes—
224#2470C2212yes—
225#2470C2212yes—
226#2469C2212yes—
227#2469C2212yes—
228#2467C2212yes—
229#2466C2212yes—
230#2465C2212yes—
231#2465C2212yes—
232#2465C2212yes—
233#2465C2212yes—
234#2465C2212yes—
235#2462C2212yes—
236#2462C2212yes—
237#2461C2212yes—
238#2461C2212yes—
239#2461C2212yes—
240#2461C2212yes—
241#2459C2212yes—
242#2459C2212yes—
243#2458C2212yes—
244#2458C2212yes—
245#2458C2212yes—
246#2456C2212yes—
247#2451C2212yes—
248#2451C2212yes—
249#2450C2212yes—
250#2450C2212yes—
251#2450C2212yes—
252#2449C2212yes—
253#2449C2212yes—
254#2449C2212yes—
255#2449C2212yes—
256#2449C2212yes—
257#2443C2212yes—
258#2443C2212yes—
259#2443C2212yes—
260#2441C2212yes—
261#2440C2212yes—
262#2440C2212yes—
263#2439C2212yes—
264#2438C2212yes—
265#2438C2212yes—
266#2438C2212yes—
267#2438C2212yes—
268#2434C2211yescharacteristic
269#2432C2211yescharacteristic
270#2430C2212yes—
271#2430C2212yes—
272#2430C2211yescharacteristic
273#2425C2212yes—
274#2425C2212yes—
275#2425C2212yes—
276#2425C2212yes—
277#2419C2212yes—
278#2413C2212yes—
279#2413C2212yes—
280#2409C2212yes—
281#2406C2211yescharacteristic
282#2406C2212yes—
283#2399C2211yescharacteristic
284#2399C2211yescharacteristic
285#2399C2212yes—
286#2396C2211yescharacteristic
287#2392C2211yescharacteristic
288C2×#398C2211yescharacteristic
289#2388C2212yes—
290C2×#395C2212yes—
291C2×#395C2211yescharacteristic
292#2374C2212yes—
293#2373C2212yes—
294#2373C2212yes—
295#2373C2212yes—
296#2373C2212yes—
297#2373C2212yes—
298#2373C2212yes—
299#2370C2212yes—
300#2370C2212yes—
301#2368C2212yes—
302#2368C2212yes—
303#2367C2212yes—
304#2367C2212yes—
305#2365C2212yes—
306#2362C2212yes—
307#2362C2212yes—
308#2362C2212yes—
309#2362C2212yes—
310#2361C2212yes—
311#2361C2212yes—
312#2361C2212yes—
313#2361C2212yes—
314#2360C2212yes—
315#2360C2212yes—
316#2360C2212yes—
317#2360C2212yes—
318#2360C2212yes—
319#2360C2212yes—
320#2360C2212yes—
321#2360C2212yes—
322#2359C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2359C2212yes—
328#2359C2212yes—
329#2359C2212yes—
330#2359C2212yes—
331#2359C2212yes—
332#2359C2212yes—
333#2359C2212yes—
334#2359C2212yes—
335#2359C2212yes—
336#2359C2212yes—
337#2359C2212yes—
338#2353C2212yes—
339#2352C2212yes—
340#2352C2212yes—
341D4×C4⋊C4C2212yes—
342D4×C4⋊C4C2212yes—
343#2344C2212yes—
344#2344C2212yes—
345#2343C2211yescharacteristic
346#2343C2211yescharacteristic
347#2339C2212yes—
348#2339C2212yes—
349#2327C2212yes—
350#2327C2212yes—
351#2326C2212yes—
352#2326C2212yes—
353#2323C2212yes—
354#2323C2212yes—
355#2322C2212yes—
356#2322C2212yes—
357#2322C2212yes—
358#2322C2212yes—
359#2317C2212yes—
360C4×C4⋊Q8C2212yes—
361C4×C4⋊Q8C2212yes—
362C4×C4⋊Q8C2211yescharacteristic
363C4×C4⋊Q8C2212yes—
364C4×#126C2212yes—
365C4×#124C2212yes—
366C4×#124C2212yes—
367C4×#123C2212yes—
368C4×#121C2212yes—
369C4×#121C2212yes—
370#2298C2212yes—
371#2298C2212yes—
372#2297C2211yescharacteristic
373#2297C2212yes—
374#2296C2212yes—
375#2296C2212yes—
376#2295C2212yes—
377#2295C2212yes—
378#2295C2212yes—
379C2×#391C2211yescharacteristic
380C2×#391C2212yes—
381#2293C2212yes—
382#2293C2212yes—
383C2×#389C2212yes—
384C2×#389C2212yes—
385#2290C2212yes—
386#2290C2212yes—
387C2×#387C2212yes—
388C2×#387C2212yes—
389C42×Q8C2212yes—
390C42×D4C2212yes—
391C42×D4C2212yes—
392C42×D4C2211yescharacteristic
393C4×#117C2212yes—
394C2×C4×C4⋊C4C2212yes—
395C22×#41C2311yescharacteristic
396C22×#41C2312yes—
397C22×#41C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399C23×Q8C2311yescharacteristic
400#552—44no—
401#548—44no—
402#547—216no—
403#536—216no—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409#529—216no—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2311yescharacteristic
414C2×#126C2311yescharacteristic
415C2×#126C2312yes—
416C2×#125C2312yes—
417C2×#125C2311yescharacteristic
418C2×#125C2311yescharacteristic
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2311yescharacteristic
425C2×#124C2312yes—
426C2×#124C2311yescharacteristic
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2311yescharacteristic
436C2×#123C2311yescharacteristic
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2311yescharacteristic
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2311yescharacteristic
458C2×#121C2312yes—
459#520—48no—
460#520—44no—
461#519—44no—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524C22×C42C2312yes—
525C22×C42C2312yes—
526C22×C42C2311yescharacteristic
527#401C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2311yescharacteristic
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2311yescharacteristic
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2311yescharacteristic
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2311yescharacteristic
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#399C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2311yescharacteristic
563#398C2312yes—
564#398C2311yescharacteristic
565#398C2311yescharacteristic
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2311yescharacteristic
571#398C2311yescharacteristic
572#398C2311yescharacteristic
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2311yescharacteristic
578#398C2311yescharacteristic
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2311yescharacteristic
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2311yescharacteristic
601#397C2311yescharacteristic
602#397C2312yes—
603#397C2311yescharacteristic
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
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#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2311yescharacteristic
629#395C2311yescharacteristic
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2311yescharacteristic
634#395C2311yescharacteristic
635#395C2311yescharacteristic
636#395C2312yes—
637#395C2312yes—
638#395C2311yescharacteristic
639#395C2311yescharacteristic
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2311yescharacteristic
648#395C2312yes—
649#395C2312yes—
650#395C2311yescharacteristic
651#395C2312yes—
652#395C2312yes—
653#394C2311yescharacteristic
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2311yescharacteristic
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2311yescharacteristic
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2311yescharacteristic
672#393C2311yescharacteristic
673#393C2312yes—
674#393C2311yescharacteristic
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#392C2312yes—
680#392C2311yescharacteristic
681#392C2312yes—
682#392C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2311yescharacteristic
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2311yescharacteristic
714#391C2312yes—
715#390C2312yes—
716#390C2311yescharacteristic
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2311yescharacteristic
723#390C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
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#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#386C2312yes—
942#386C2312yes—
943#386C2312yes—
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#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
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#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#384C2312yes—
1018#384C2311yescharacteristic
1019#384C2311yescharacteristic
1020#383C2312yes—
1021#383C2311yescharacteristic
1022#383C2311yescharacteristic
1023#383C2312yes—
1024#383C2312yes—
1025#382C2311yescharacteristic
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2311yescharacteristic
1031#382C2311yescharacteristic
1032#382C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2311yescharacteristic
1040#381C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2311yescharacteristic
1131#376C2311yescharacteristic
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2311yescharacteristic
1140C2×#95C2311yescharacteristic
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2312yes—
1147C43C2311yescharacteristic
1148C43C2312yes—
1149C43C2312yes—
1150C2×#41—28no—
1151C2×#41—28no—
1152C2×#41—28no—
1153C2×#41—42no—
1154C2×#41—44no—
1155C2×#41—42no—
1156C2×#41—42no—
1157C2×#41—81no—
1158C22×Q8—28no—
1159C22×Q8—42no—
1160C22×Q8—42no—
1161C22×Q8—42no—
1162C22×Q8—81no—
1163C22×Q8C2412yes—
1164C22×Q8C2411yescharacteristic
1165C22×Q8C2412yes—
1166C22×Q8C2411yescharacteristic
1167C22×Q8C2412yes—
1168C22×Q8C2411yescharacteristic
1169C22×Q8C2411yescharacteristic
1170C22×Q8C2411yescharacteristic
1171C22×Q8C2411yescharacteristic
1172C22×Q8C2412yes—
1173C22×D4C2411yescharacteristic
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2411yescharacteristic
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2411yescharacteristic
1181C22×D4C2412yes—
1182C23×C4C2411yescharacteristic
1183C23×C4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2411yescharacteristic
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C4⋊Q8—28no—
1204C4⋊Q8—28no—
1205C4⋊Q8—28no—
1206C4⋊Q8—42no—
1207C4⋊Q8—81no—
1208#126—28no—
1209#126—28no—
1210#126—28no—
1211#126—42no—
1212#126—42no—
1213#126—82no—
1214#125—28no—
1215#125—42no—
1216#125—42no—
1217#125—42no—
1218#125—82no—
1219#124—28no—
1220#124—28no—
1221#124—28no—
1222#124—44no—
1223#124—42no—
1224#124—81no—
1225#123—28no—
1226#123—28no—
1227#123—28no—
1228#123—28no—
1229#123—28no—
1230#123—28no—
1231#123—28no—
1232#123—28no—
1233#123—42no—
1234#123—42no—
1235#123—44no—
1236#123—82no—
1237#123#41116yescomplemented
1238C22⋊Q8—28no—
1239C22⋊Q8—28no—
1240C22⋊Q8—28no—
1241C22⋊Q8—28no—
1242C22⋊Q8—28no—
1243C22⋊Q8—28no—
1244C22⋊Q8—28no—
1245C22⋊Q8—42no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—42no—
1249C22⋊Q8—44no—
1250C22⋊Q8—42no—
1251C22⋊Q8—82no—
1252#121—28no—
1253#121—28no—
1254#121—28no—
1255#121—42no—
1256#121—44no—
1257C4×Q8—28no—
1258C4×Q8—28no—
1259C4×Q8—42no—
1260C4×Q8—42no—
1261C4×Q8—44no—
1262C4×Q8—42no—
1263C4×Q8—42no—
1264C4×Q8—42no—
1265C4×Q8—44no—
1266C4×Q8—42no—
1267C4×Q8—44no—
1268C4×Q8—44no—
1269C4×Q8—42no—
1270C4×Q8—42no—
1271C4×Q8—44no—
1272C4×D4—28no—
1273C4×D4—28no—
1274C4×D4—28no—
1275C4×D4—28no—
1276C4×D4—28no—
1277C4×D4—28no—
1278C4×D4—28no—
1279C4×D4—28no—
1280C4×D4—24no—
1281C4×D4—44no—
1282C4×D4—42no—
1283C4×D4—42no—
1284C4×D4—44no—
1285C4×D4—44no—
1286C4×D4—44no—
1287C4×D4—44no—
1288C4×D4—44no—
1289C4×D4—82no—
1290C4×D4—82no—
1291#117—28no—
1292#117—28no—
1293#117—28no—
1294#117—28no—
1295#117—24no—
1296#117—24no—
1297#117—42no—
1298#117—44no—
1299#117—44no—
1300#117—44no—
1301#117—42no—
1302#117—44no—
1303#117—82no—
1304#117—82no—
1305C2×C4⋊C4—28no—
1306C2×C4⋊C4—28no—
1307C2×C4⋊C4—28no—
1308C2×C4⋊C4—44no—
1309C2×C4⋊C4—44no—
1310C2×C4⋊C4—44no—
1311C2×C4⋊C4—44no—
1312C2×C4⋊C4—44no—
1313C2×C4⋊C4—42no—
1314C2×C4⋊C4—42no—
1315C2×C4⋊C4—82no—
1316C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2411yescharacteristic
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2411yescharacteristic
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2411yescharacteristic
1387C2×C4⋊C4C2411yescharacteristic
1388C2×C4⋊C4C2411yescharacteristic
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2411yescharacteristic
1395C2×C4⋊C4C2411yescharacteristic
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2411yescharacteristic
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2411yescharacteristic
1406C2×C4⋊C4C2411yescharacteristic
1407C2×C4⋊C4C2412yes—
1408C2×C4⋊C4C2412yes—
1409C2×C4⋊C4C2412yes—
1410C2×C4⋊C4C2412yes—
1411C2×C4⋊C4C2412yes—
1412C2×C4⋊C4C2412yes—
1413C2×C4⋊C4C2412yes—
1414C2×C4⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2411yescharacteristic
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1429C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2411yescharacteristic
1455C2×C22⋊C4C2411yescharacteristic
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2411yescharacteristic
1466C2×C22⋊C4C2411yescharacteristic
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2411yescharacteristic
1478C2×C42—28no—
1479C2×C42—81no—
1480C2×C42—82no—
1481C2×C42—81no—
1482C2×C42—82no—
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2411yescharacteristic
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2411yescharacteristic
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2411yescharacteristic
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2412yes—
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2411yescharacteristic
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2411yescharacteristic
1525C2×C42C2412yes—
1526C2×C42C2411yescharacteristic
1527C2×C42C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2411yescharacteristic
1532#95C2411yescharacteristic
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#95C2411yescharacteristic
1557#95C2411yescharacteristic
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#95C2411yescharacteristic
1583#95C2411yescharacteristic
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—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2411yescharacteristic
1622#95C2411yescharacteristic
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633#95C2412yes—
1634#95C2412yes—
1635#95C2412yes—
1636#95C2412yes—
1637C24C2511yescharacteristic
1638C24C2512yes—
1639C24C2512yes—
1640C24C2511yescharacteristic
1641#41—432no—
1642#41—416no—
1643#41—88no—
1644C2×Q8—24no—
1645C2×Q8—24no—
1646C2×Q8—24no—
1647C2×Q8—24no—
1648C2×Q8—24no—
1649C2×Q8—24no—
1650C2×Q8—24no—
1651C2×Q8—24no—
1652C2×Q8—24no—
1653C2×Q8—22no—
1654C2×Q8—22no—
1655C2×Q8—22no—
1656C2×Q8—41no—
1657C2×Q8—42no—
1658C2×Q8—41no—
1659C2×Q8—42no—
1660C2×Q8—41no—
1661C2×Q8—41no—
1662C2×Q8—42no—
1663C2×Q8—41no—
1664C2×Q8—41no—
1665C2×Q8—41no—
1666C2×Q8—42no—
1667C2×Q8—42no—
1668C2×Q8—41no—
1669C2×Q8—41no—
1670C2×Q8—42no—
1671C2×Q8—416no—
1672C2×Q8—88no—
1673C2×D4—24no—
1674C2×D4—24no—
1675C2×D4—24no—
1676C2×D4—24no—
1677C2×D4—24no—
1678C2×D4—24no—
1679C2×D4—24no—
1680C2×D4—24no—
1681C2×D4—24no—
1682C2×D4—24no—
1683C2×D4—22no—
1684C2×D4—24no—
1685C2×D4—24no—
1686C2×D4—24no—
1687C2×D4—22no—
1688C2×D4—42no—
1689C2×D4—41no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—41no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—41no—
1696C2×D4—42no—
1697C2×D4C2×#4118yes—
1698C22×C4—24no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—24no—
1703C22×C4—24no—
1704C22×C4—24no—
1705C22×C4—24no—
1706C22×C4—24no—
1707C22×C4—24no—
1708C22×C4—22no—
1709C22×C4—22no—
1710C22×C4—22no—
1711C22×C4—24no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—24no—
1715C22×C4—24no—
1716C22×C4—24no—
1717C22×C4—24no—
1718C22×C4—24no—
1719C22×C4—22no—
1720C22×C4—24no—
1721C22×C4—24no—
1722C22×C4—24no—
1723C22×C4—24no—
1724C22×C4—24no—
1725C22×C4—24no—
1726C22×C4—22no—
1727C22×C4—22no—
1728C22×C4—24no—
1729C22×C4—24no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—41no—
1736C22×C4—41no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—42no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4C2×#4118yes—
1759C22×C4C2512yes—
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2511yescharacteristic
1765C22×C4C2511yescharacteristic
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2511yescharacteristic
1776C22×C4C2512yes—
1777C22×C4C2511yescharacteristic
1778C22×C4C2511yescharacteristic
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2511yescharacteristic
1782C22×C4C2511yescharacteristic
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2511yescharacteristic
1789C22×C4C2511yescharacteristic
1790C22×C4C2512yes—
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2511yescharacteristic
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—22no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—22no—
1824C4⋊C4—22no—
1825C4⋊C4—22no—
1826C4⋊C4—22no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—24no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—24no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—41no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—41no—
1849C4⋊C4—41no—
1850C4⋊C4—42no—
1851C4⋊C4—41no—
1852C4⋊C4—41no—
1853C4⋊C4—41no—
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—41no—
1864C4⋊C4—41no—
1865C4⋊C4—41no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—41no—
1871C4⋊C4—42no—
1872C4⋊C4—41no—
1873C4⋊C4—41no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—41no—
1879C4⋊C4—41no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—41no—
1883C4⋊C4—41no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4C2×#4118yes—
1890C4⋊C4C2×#4118yes—
1891C4⋊C42−1+418yes—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—22no—
1901C22⋊C4—22no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—22no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—41no—
1930C22⋊C4—41no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—41no—
1945C22⋊C4—41no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4C2×#4118yes—
1952C22⋊C4C2×#4118yes—
1953C22⋊C4C2×#4118yes—
1954C22⋊C4H(5,𝔽2)14yes—
1955C42—24no—
1956C42—24no—
1957C42—24no—
1958C42—24no—
1959C42—24no—
1960C42—24no—
1961C42—24no—
1962C42—24no—
1963C42—24no—
1964C42—22no—
1965C42—22no—
1966C42—24no—
1967C42—24no—
1968C42—22no—
1969C42—22no—
1970C42—24no—
1971C42—24no—
1972C42—22no—
1973C42—24no—
1974C42—24no—
1975C42—24no—
1976C42—24no—
1977C42—24no—
1978C42—22no—
1979C42—41no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42—42no—
1986C42—41no—
1987C42—42no—
1988C42—42no—
1989C42—41no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—42no—
1994C42—42no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—42no—
1999C42—42no—
2000C23—22no—
2001C23—21no—
2002C23—21no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—21no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—22no—
2017C23—22no—
2018C23—21no—
2019C23—21no—
2020C23—22no—
2021C23C22×#4114yes—
2022C23C22×#4114yes—
2023C23C2×H(5,𝔽2)12yes—
2024C23C2611yescharacteristic
2025Q8—48no—
2026Q8—44no—
2027Q8—48no—
2028Q8—44no—
2029Q8—48no—
2030Q8—44no—
2031Q8—44no—
2032Q8—82no—
2033Q8—82no—
2034Q8—84no—
2035D4—216no—
2036D4—48no—
2037D4—48no—
2038D4—48no—
2039D4—44no—
2040D4—44no—
2041D4—48no—
2042D4—82no—
2043D4—84no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—216no—
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—21no—
2081C2×C4—21no—
2082C2×C4—22no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—22no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—21no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—21no—
2117C2×C4—21no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—21no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—21no—
2128C2×C4—21no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—48no—
2132C2×C4—48no—
2133C2×C4—48no—
2134C2×C4—44no—
2135C2×C4—48no—
2136C2×C4—48no—
2137C2×C4—48no—
2138C2×C4—48no—
2139C2×C4—44no—
2140C2×C4—48no—
2141C2×C4—48no—
2142C2×C4—44no—
2143C2×C4—44no—
2144C2×C4—84no—
2145C2×C4—84no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—162no—
2149C2×C4—162no—
2150C2×C4—162no—
2151C2×C4C22×#4114yes—
2152C2×C4C22×#4114yes—
2153C2×C4C22×#4114yes—
2154C2×C4C22×#4114yes—
2155C2×C4C22×#4114yes—
2156C2×C4C2×H(5,𝔽2)12yes—
2157C2×C4C2×H(5,𝔽2)12yes—
2158C2×C4C2×2−1+414yes—
2159C2×C4C2×2−1+414yes—
2160C2×C4C2×2−1+414yes—
2161C2×C4#58512yes—
2162C22—24no—
2163C22—22no—
2164C22—24no—
2165C22—22no—
2166C22—24no—
2167C22—24no—
2168C22—24no—
2169C22—42no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—41no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—41no—
2182C22—42no—
2183C22—42no—
2184C22—41no—
2185C22#348114yes—
2186C22C23×#4112yes—
2187C22C22×H(5,𝔽2)11yescharacteristic
2188C22C22×2−1+412yes—
2189C22C2×#58511yescharacteristic
2190C22H(7,𝔽2)11yescharacteristic
2191C4—24no—
2192C4—24no—
2193C4—24no—
2194C4—22no—
2195C4—24no—
2196C4—24no—
2197C4—22no—
2198C4—22no—
2199C4—24no—
2200C4—24no—
2201C4—24no—
2202C4—42no—
2203C4—42no—
2204C4—42no—
2205C4—42no—
2206C4—42no—
2207C4—41no—
2208C4—41no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—41no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—42no—
2218C4—41no—
2219C4—41no—
2220C4—41no—
2221C4—41no—
2222C4—42no—
2223C4—41no—
2224C4—41no—
2225C4—41no—
2226C2—24no—
2227C2—44no—
2228C2—81no—
2229C2—82no—
2230C2C2×#348111yescharacteristic
2231C2#6280512yes—
2232C2#6291811yescharacteristic
2233C2#6300012yes—
2234C2#6303711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60046C2semidirect
2. #60043C2semidirect
3. #59995C2semidirect
4. #59969C2semidirect
5. #59941C2semidirect
6. #59932C2semidirect
7. #59913C2semidirect
8. #59688C2semidirect
9. #59092C2semidirect
10. #44865C2semidirect
11. #44861C2semidirect
12. #44860C2semidirect
13. #44841C2semidirect
14. #44758C2semidirect
15. #44217C2semidirect
16. #43981C2semidirect
17. #43462C2semidirect
18. #43289C2semidirect
19. #38863C2semidirect
20. #38854C2semidirect
21. #38851C2semidirect
22. #38839C2semidirect
23. #38209C2semidirect
24. #37779C2semidirect
25. #36376C2semidirect
26. #36364C2semidirect
27. #36363C2semidirect
28. #36328C2semidirect
29. #36309C2semidirect
30. #36308C2semidirect
31. #36086C2semidirect
32. #36001C2semidirect
33. #35740C2semidirect
34. #34962C2semidirect
35. #34950C2semidirect
36. C2×#2586C2semidirect
37. #34308C2semidirect
38. #34276C2semidirect
39. #34153C2semidirect
1237. #123#41semidirect

Maximal subgroups

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

subgroupindex
#600462
#600432
#599952
#599692
#599412
#599322
#599132
#596882
#590922
#448652
#448612
#448602
#448412
#447582
#442172
#439812
#434622
#432892
#388632
#388542
#388512
#388392
#382092
#377792
#363762
#363642
#363632
#363282
#363092
#363082
#360862
#360012
#357402
#349622
#349502
C2×#25862
#343082
#342762
#341532