Finite Group Databasebeta

← #7898110

Subgroups — #7898110

Order 512.

4643 conjugacy classes of subgroups.

The subgroup lattice has 2257 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59878C211yesmaximal, characteristic, complemented
2#59180C212yesmaximal, complemented
3#52304C211yesmaximal, characteristic, complemented
4#51150C212yesmaximal, complemented
5#51119C212yesmaximal, complemented
6#50566C212yesmaximal, complemented
7#49149C212yesmaximal, complemented
8#49121C212yesmaximal, complemented
9#48820C212yesmaximal, complemented
10#46723C212yesmaximal, complemented
11#46593C212yesmaximal, complemented
12#46091C211yesmaximal, characteristic, complemented
13#45786C211yesmaximal, characteristic, complemented
14#44842C212yesmaximal, complemented
15#44748C212yesmaximal, complemented
16#44713C212yesmaximal, complemented
17#44547C212yesmaximal, complemented
18#43716C212yesmaximal, complemented
19#42833C212yesmaximal, complemented
20#42373C212yesmaximal, complemented
21#42234C212yesmaximal, complemented
22#41696C212yesmaximal, complemented
23#40386C212yesmaximal, complemented
24#39640C211yesmaximal, characteristic, complemented
25#39317C212yesmaximal, complemented
26#38828C211yesmaximal, characteristic, complemented
27#38800C211yesmaximal, characteristic, complemented
28#38770C211yesmaximal, characteristic, complemented
29#38487C211yesmaximal, characteristic, complemented
30#38484C211yesmaximal, characteristic, complemented
31#37730C212yesmaximal, complemented
32#37315C211yesmaximal, characteristic, complemented
33#37219C211yesmaximal, characteristic, complemented
34#36396C211yesmaximal, characteristic, complemented
35#36056C212yesmaximal, complemented
36#35568C212yesmaximal, complemented
37#35107C211yesmaximal, characteristic, complemented
38#34519C212yesmaximal, complemented
39#34314C211yesmaximal, characteristic, complemented
40C2×#562C2212yes—
41C2×#553C2211yescharacteristic
42C2×#552C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#542C2212yes—
45C2×#529C2212yes—
46#2861C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2211yescharacteristic
50#2854C2211yescharacteristic
51#2852C2212yes—
52#2851C2211yescharacteristic
53#2850C2211yescharacteristic
54#2839C2212yes—
55#2836C2212yes—
56#2836C2212yes—
57#2813C2212yes—
58#2809C2211yescharacteristic
59#2808C2211yescharacteristic
60#2808C2212yes—
61#2806C2211yescharacteristic
62#2806C2211yescharacteristic
63#2805C2211yescharacteristic
64#2805C2211yescharacteristic
65#2805C2211yescharacteristic
66#2803C2212yes—
67#2803C2212yes—
68#2798C2212yes—
69#2797C2212yes—
70#2797C2212yes—
71#2790C2212yes—
72#2789C2212yes—
73#2788C2212yes—
74#2782C2212yes—
75#2782C2212yes—
76#2782C2212yes—
77#2781C2212yes—
78#2781C2212yes—
79#2779C2212yes—
80#2778C2212yes—
81#2778C2212yes—
82#2774C2212yes—
83#2774C2212yes—
84#2774C2212yes—
85#2774C2212yes—
86#2770C2212yes—
87#2766C2212yes—
88#2765C2212yes—
89#2765C2212yes—
90#2765C2212yes—
91#2757C2212yes—
92#2753C2212yes—
93#2751C2212yes—
94#2749C2212yes—
95#2749C2212yes—
96#2744C2212yes—
97#2743C2212yes—
98#2738C2212yes—
99#2733C2211yescharacteristic
100#2732C2212yes—
101#2732C2212yes—
102#2732C2211yescharacteristic
103#2732C2211yescharacteristic
104#2730C2212yes—
105#2729C2212yes—
106#2729C2212yes—
107#2728C2212yes—
108#2727C2211yescharacteristic
109#2727C2211yescharacteristic
110#2726C2212yes—
111#2725C2212yes—
112#2724C2211yescharacteristic
113#2724C2211yescharacteristic
114#2721C2212yes—
115#2720C2212yes—
116#2720C2212yes—
117#2717C2212yes—
118#2716C2212yes—
119#2715C2212yes—
120#2715C2212yes—
121#2711C2212yes—
122#2708C2212yes—
123#2708C2212yes—
124#2707C2212yes—
125#2700C2212yes—
126#2698C2212yes—
127#2698C2212yes—
128#2695C2212yes—
129#2695C2212yes—
130#2694C2212yes—
131#2691C2212yes—
132#2691C2212yes—
133#2691C2212yes—
134#2690C2212yes—
135#2690C2212yes—
136#2689C2212yes—
137#2689C2212yes—
138#2688C2212yes—
139#2688C2212yes—
140#2688C2212yes—
141#2683C2211yescharacteristic
142#2682C2212yes—
143#2682C2211yescharacteristic
144#2681C2212yes—
145#2681C2212yes—
146#2680C2212yes—
147#2675C2212yes—
148#2673C2212yes—
149#2672C2212yes—
150#2672C2212yes—
151#2671C2212yes—
152#2666C2212yes—
153#2664C2212yes—
154#2654C2212yes—
155#2654C2212yes—
156#2651C2212yes—
157#2650C2212yes—
158#2650C2212yes—
159#2650C2212yes—
160#2649C2212yes—
161#2649C2212yes—
162#2648C2212yes—
163#2648C2212yes—
164#2647C2212yes—
165#2646C2212yes—
166#2634C2212yes—
167#2630C2212yes—
168#2624C2212yes—
169#2612C2212yes—
170#2610C2212yes—
171#2604C2212yes—
172#2603C2212yes—
173#2603C2212yes—
174#2602C2212yes—
175#2602C2212yes—
176#2597C2212yes—
177#2597C2212yes—
178#2597C2212yes—
179#2596C2212yes—
180#2593C2212yes—
181#2592C2212yes—
182#2591C2212yes—
183#2588C2212yes—
184#2587C2212yes—
185#2587C2212yes—
186#2578C2212yes—
187#2576C2212yes—
188#2575C2212yes—
189#2570C2212yes—
190#2569C2212yes—
191#2568C2212yes—
192#2566C2211yescharacteristic
193#2565C2211yescharacteristic
194#2563C2212yes—
195#2562C2211yescharacteristic
196#2560C2212yes—
197#2560C2212yes—
198#2560C2212yes—
199#2560C2212yes—
200#2559C2212yes—
201#2559C2212yes—
202#2559C2212yes—
203#2559C2212yes—
204#2558C2212yes—
205#2557C2212yes—
206#2557C2212yes—
207#2557C2212yes—
208#2555C2212yes—
209#2554C2212yes—
210#2554C2212yes—
211#2553C2212yes—
212#2553C2212yes—
213#2553C2212yes—
214#2550C2211yescharacteristic
215#2549C2212yes—
216#2546C2212yes—
217#2544C2211yescharacteristic
218#2543C2212yes—
219#2543C2212yes—
220#2540C2212yes—
221#2535C2211yescharacteristic
222#2533C2212yes—
223#2533C2212yes—
224#2532C2212yes—
225#2531C2212yes—
226#2530C2212yes—
227#2530C2212yes—
228#2529C2212yes—
229#2529C2212yes—
230#2529C2212yes—
231#2529C2212yes—
232#2527C2212yes—
233#2526C2212yes—
234#2525C2212yes—
235#2521C2212yes—
236#2521C2212yes—
237#2520C2212yes—
238#2519C2212yes—
239#2519C2212yes—
240#2518C2212yes—
241#2516C2212yes—
242#2515C2212yes—
243#2512C2212yes—
244#2512C2212yes—
245#2511C2212yes—
246#2507C2212yes—
247#2506C2212yes—
248#2505C2212yes—
249#2505C2212yes—
250#2504C2211yescharacteristic
251#2504C2212yes—
252#2499C2211yescharacteristic
253#2498C2212yes—
254#2497C2211yescharacteristic
255#2495C2211yescharacteristic
256#2491C2211yescharacteristic
257#2491C2212yes—
258#2490C2211yescharacteristic
259#2481C2212yes—
260#2481C2212yes—
261#2481C2212yes—
262#2481C2212yes—
263#2478C2212yes—
264#2478C2212yes—
265#2477C2212yes—
266#2475C2212yes—
267#2475C2212yes—
268#2474C2212yes—
269#2473C2212yes—
270#2471C2212yes—
271#2471C2212yes—
272#2470C2212yes—
273#2470C2212yes—
274#2469C2212yes—
275#2468C2212yes—
276#2468C2212yes—
277#2467C2212yes—
278#2466C2212yes—
279#2464C2212yes—
280#2464C2212yes—
281#2464C2212yes—
282#2464C2212yes—
283#2464C2212yes—
284#2461C2212yes—
285#2461C2212yes—
286#2461C2212yes—
287#2461C2212yes—
288#2460C2212yes—
289#2457C2212yes—
290#2457C2212yes—
291#2452C2212yes—
292#2452C2212yes—
293#2450C2212yes—
294#2449C2212yes—
295#2448C2212yes—
296#2446C2212yes—
297#2445C2212yes—
298#2444C2212yes—
299#2444C2212yes—
300#2444C2212yes—
301#2443C2212yes—
302#2440C2212yes—
303#2438C2212yes—
304#2436C2211yescharacteristic
305#2434C2212yes—
306#2431C2211yescharacteristic
307#2430C2212yes—
308#2426C2212yes—
309#2423C2212yes—
310#2422C2212yes—
311#2421C2212yes—
312#2420C2212yes—
313#2419C2212yes—
314#2417C2212yes—
315#2416C2212yes—
316#2415C2212yes—
317#2414C2212yes—
318#2409C2212yes—
319#2406C2212yes—
320#2401C2212yes—
321#2401C2212yes—
322#2401C2212yes—
323#2401C2212yes—
324#2399C2212yes—
325#2378C2212yes—
326#2377C2212yes—
327#2376C2212yes—
328#2374C2212yes—
329#2374C2212yes—
330#2373C2212yes—
331#2373C2212yes—
332#2373C2212yes—
333#2372C2212yes—
334#2372C2212yes—
335#2372C2212yes—
336#2371C2212yes—
337#2370C2212yes—
338#2370C2211yescharacteristic
339#2368C2212yes—
340#2364C2212yes—
341#2364C2212yes—
342#2363C2212yes—
343#2362C2211yescharacteristic
344#2361C2212yes—
345#2360C2212yes—
346#2360C2211yescharacteristic
347#2360C2212yes—
348#2359C2212yes—
349#2359C2212yes—
350#2359C2212yes—
351#2359C2212yes—
352#2352C2211yescharacteristic
353#2351C2211yescharacteristic
354#2347C2211yescharacteristic
355#2346C2212yes—
356#2344C2211yescharacteristic
357#2343C2212yes—
358#2337C2212yes—
359#2336C2212yes—
360#2335C2212yes—
361#2335C2212yes—
362#2335C2212yes—
363#2334C2212yes—
364#2333C2212yes—
365#2332C2212yes—
366#2332C2212yes—
367#2330C2212yes—
368#2329C2212yes—
369#2326C2212yes—
370#2326C2212yes—
371#2325C2212yes—
372#2324C2212yes—
373#2324C2212yes—
374#2323C2212yes—
375#2322C2212yes—
376#2322C2212yes—
377C4×#125C2211yescharacteristic
378C4×#125C2211yescharacteristic
379C4×#124C2211yescharacteristic
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2211yescharacteristic
382C4×C22⋊Q8C2212yes—
383C4×C22⋊Q8C2212yes—
384C4×#123C2212yes—
385C4×#123C2212yes—
386C4×#121C2212yes—
387#2297C2211yescharacteristic
388#2296C2211yescharacteristic
389#2295C2211yescharacteristic
390C2×#391C2211yescharacteristic
391#2293C2211yescharacteristic
392C2×#389C2211yescharacteristic
393#2274C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397#562—216no—
398#553—44no—
399#552—28no—
400#548—44no—
401#542—48no—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2311yescharacteristic
405C2×#127C2311yescharacteristic
406#529—48no—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#125C2311yescharacteristic
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2311yescharacteristic
420C2×#125C2311yescharacteristic
421C2×#125C2312yes—
422C2×#125C2311yescharacteristic
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2311yescharacteristic
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2311yescharacteristic
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2311yescharacteristic
463C2×#121C2312yes—
464C2×#121C2311yescharacteristic
465C2×#121C2311yescharacteristic
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2311yescharacteristic
472C2×#121C2311yescharacteristic
473C2×#121C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509#401C2312yes—
510#401C2312yes—
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#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
552#399C2312yes—
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#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2311yescharacteristic
715#391C2311yescharacteristic
716#391C2312yes—
717#391C2312yes—
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2311yescharacteristic
727#390C2311yescharacteristic
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2311yescharacteristic
736#390C2312yes—
737#390C2311yescharacteristic
738#390C2312yes—
739#390C2311yescharacteristic
740#390C2311yescharacteristic
741#390C2312yes—
742#390C2311yescharacteristic
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#389C2311yescharacteristic
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2311yescharacteristic
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#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2312yes—
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2311yescharacteristic
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2311yescharacteristic
790#389C2312yes—
791#389C2312yes—
792#389C2311yescharacteristic
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#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
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#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
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#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
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#385C2312yes—
1024#385C2312yes—
1025#384C2311yescharacteristic
1026#384C2311yescharacteristic
1027#384C2312yes—
1028#384C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#382C2311yescharacteristic
1033#382C2311yescharacteristic
1034#382C2312yes—
1035#382C2312yes—
1036#382C2311yescharacteristic
1037#382C2311yescharacteristic
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2311yescharacteristic
1042#382C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2312yes—
1063#380C2311yescharacteristic
1064#380C2311yescharacteristic
1065#380C2312yes—
1066#380C2311yescharacteristic
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊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⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2311yescharacteristic
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141#376C2312yes—
1142#376C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C43C2311yescharacteristic
1148C2×#41—42no—
1149C2×#41—42no—
1150C2×#41—81no—
1151C22×Q8—42no—
1152C22×Q8—42no—
1153C22×Q8—81no—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2411yescharacteristic
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2411yescharacteristic
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2411yescharacteristic
1180C23×C4C2411yescharacteristic
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2411yescharacteristic
1195C4⋊Q8—44no—
1196C4⋊Q8—81no—
1197C4⋊Q8—82no—
1198#127—81no—
1199#126—28no—
1200#126—44no—
1201#126—44no—
1202#126—44no—
1203#126—44no—
1204#126—44no—
1205#126—44no—
1206#126—44no—
1207#126—82no—
1208#125—28no—
1209#125—24no—
1210#125—28no—
1211#125—42no—
1212#125—44no—
1213#125—42no—
1214#125—81no—
1215#124—28no—
1216#124—28no—
1217#124—28no—
1218#124—28no—
1219#124—44no—
1220#124—42no—
1221#124—42no—
1222#124—81no—
1223#123—28no—
1224#123—28no—
1225#123—28no—
1226#123—28no—
1227#123—28no—
1228#123—28no—
1229#123—44no—
1230#123—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235C22⋊Q8—24no—
1236C22⋊Q8—28no—
1237C22⋊Q8—28no—
1238C22⋊Q8—28no—
1239C22⋊Q8—44no—
1240C22⋊Q8—42no—
1241C22⋊Q8—44no—
1242C22⋊Q8—44no—
1243C22⋊Q8—44no—
1244C22⋊Q8—44no—
1245C22⋊Q8—44no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8#4118yescomplemented
1249#121—28no—
1250#121—28no—
1251#121—28no—
1252#121—28no—
1253#121—44no—
1254#121—42no—
1255#121—42no—
1256#121—44no—
1257#121—44no—
1258#121—44no—
1259#121—44no—
1260#121—44no—
1261#121—42no—
1262#121—81no—
1263#121—82no—
1264#121—81no—
1265#121—82no—
1266C4×Q8—24no—
1267C4×Q8—44no—
1268C4×Q8—42no—
1269C4×Q8—44no—
1270C4×Q8—81no—
1271C4×Q8—81no—
1272C4×D4—24no—
1273C4×D4—24no—
1274C4×D4—44no—
1275C4×D4—44no—
1276C4×D4—44no—
1277C4×D4—42no—
1278C4×D4—42no—
1279C4×D4—42no—
1280C4×D4—44no—
1281C4×D4—44no—
1282C4×D4—44no—
1283C4×D4—82no—
1284C4×D4—82no—
1285C4×D4—82no—
1286#117—24no—
1287#117—28no—
1288#117—28no—
1289#117—44no—
1290#117—44no—
1291#117—42no—
1292#117—81no—
1293C2×C4⋊C4—24no—
1294C2×C4⋊C4—44no—
1295C2×C4⋊C4—42no—
1296C2×C4⋊C4—81no—
1297C2×C4⋊C4—82no—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1359C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2411yescharacteristic
1386C2×C4⋊C4C2412yes—
1387C2×C22⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1427C2×C22⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2411yescharacteristic
1470C2×C42—44no—
1471C2×C42—81no—
1472C2×C42—81no—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2411yescharacteristic
1500C2×C42C2411yescharacteristic
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2411yescharacteristic
1551#95C2411yescharacteristic
1552#95C2412yes—
1553#95C2411yescharacteristic
1554#95C2411yescharacteristic
1555#95C2411yescharacteristic
1556#95C2411yescharacteristic
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—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615C24C2512yes—
1616C24C2512yes—
1617C24C2512yes—
1618C24C2511yescharacteristic
1619C24C2511yescharacteristic
1620#41—88no—
1621C2×Q8—24no—
1622C2×Q8—24no—
1623C2×Q8—24no—
1624C2×Q8—22no—
1625C2×Q8—22no—
1626C2×Q8—41no—
1627C2×Q8—41no—
1628C2×Q8—41no—
1629C2×Q8—41no—
1630C2×Q8—42no—
1631C2×Q8—41no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—41no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8—88no—
1639C2×Q8C2×#4114yes—
1640C2×D4—22no—
1641C2×D4—22no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—22no—
1652C2×D4—22no—
1653C2×D4—22no—
1654C2×D4—41no—
1655C2×D4—41no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—41no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—41no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—41no—
1672C2×D4—41no—
1673C2×D4—42no—
1674C2×D4—41no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C22×C4—24no—
1689C22×C4—22no—
1690C22×C4—24no—
1691C22×C4—22no—
1692C22×C4—22no—
1693C22×C4—22no—
1694C22×C4—22no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—24no—
1698C22×C4—24no—
1699C22×C4—22no—
1700C22×C4—22no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—42no—
1706C22×C4—41no—
1707C22×C4—41no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—41no—
1711C22×C4—41no—
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×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—41no—
1728C22×C4—41no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—42no—
1743C22×C4—42no—
1744C22×C4C2×#4114yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2511yescharacteristic
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2511yescharacteristic
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2511yescharacteristic
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2511yescharacteristic
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2512yes—
1775C22×C4C2511yescharacteristic
1776C22×C4C2511yescharacteristic
1777C22×C4C2511yescharacteristic
1778C22×C4C2511yescharacteristic
1779C4⋊C4—22no—
1780C4⋊C4—24no—
1781C4⋊C4—22no—
1782C4⋊C4—24no—
1783C4⋊C4—22no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—22no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—22no—
1803C4⋊C4—22no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—22no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—41no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—41no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—41no—
1819C4⋊C4—41no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—41no—
1827C4⋊C4—42no—
1828C4⋊C4—41no—
1829C4⋊C4—41no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—41no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—41no—
1848C4⋊C4—41no—
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—41no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4C2×#4114yes—
1867C4⋊C4C2×#4118yes—
1868C22⋊C4—24no—
1869C22⋊C4—22no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—22no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—22no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—41no—
1912C22⋊C4—41no—
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⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
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—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4C2×#4118yes—
1950C22⋊C4H(5,𝔽2)14yes—
1951C42—24no—
1952C42—24no—
1953C42—22no—
1954C42—24no—
1955C42—24no—
1956C42—24no—
1957C42—24no—
1958C42—22no—
1959C42—24no—
1960C42—22no—
1961C42—22no—
1962C42—42no—
1963C42—42no—
1964C42—41no—
1965C42—41no—
1966C42—41no—
1967C42—41no—
1968C42—41no—
1969C42—41no—
1970C42—41no—
1971C42—41no—
1972C42—41no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42—42no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—21no—
1997C23—21no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23C22×#4112yes—
2023C23C2×H(5,𝔽2)12yes—
2024C23C2611yescharacteristic
2025Q8—44no—
2026Q8—44no—
2027Q8—84no—
2028Q8—84no—
2029Q8—82no—
2030Q8—84no—
2031D4—44no—
2032D4—84no—
2033D4—84no—
2034D4—84no—
2035D4—82no—
2036D4—82no—
2037D4—82no—
2038D4—84no—
2039D4—84no—
2040D4—84no—
2041D4—84no—
2042D4—84no—
2043D4—84no—
2044D4—84no—
2045D4—162no—
2046D4—162no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—21no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—21no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—21no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
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—21no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—21no—
2112C2×C4—22no—
2113C2×C4—21no—
2114C2×C4—21no—
2115C2×C4—22no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—21no—
2124C2×C4—21no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—21no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—21no—
2141C2×C4—44no—
2142C2×C4—44no—
2143C2×C4—48no—
2144C2×C4—44no—
2145C2×C4—44no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—84no—
2150C2×C4—82no—
2151C2×C4—82no—
2152C2×C4—84no—
2153C2×C4—84no—
2154C2×C4—84no—
2155C2×C4—84no—
2156C2×C4—162no—
2157C2×C4—162no—
2158C2×C4—162no—
2159C2×C4—162no—
2160C2×C4C22×#4114yes—
2161C2×C4C22×#4112yes—
2162C2×C4C22×#4112yes—
2163C2×C4C22×#4114yes—
2164C2×C4C2×H(5,𝔽2)12yes—
2165C2×C4C2×H(5,𝔽2)12yes—
2166C2×C4#58512yes—
2167C2×C4#58512yes—
2168C22—22no—
2169C22—22no—
2170C22—22no—
2171C22—22no—
2172C22—22no—
2173C22—22no—
2174C22—41no—
2175C22—41no—
2176C22—41no—
2177C22—41no—
2178C22—41no—
2179C22—41no—
2180C22—41no—
2181C22—41no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—42no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22—42no—
2203C22C23×#4111yescharacteristic
2204C22C22×H(5,𝔽2)11yescharacteristic
2205C22C2×#58511yescharacteristic
2206C22C2×#58511yescharacteristic
2207C22H(7,𝔽2)11yescharacteristic
2208C222−1+611yescharacteristic
2209C222−1+611yescharacteristic
2210C4—24no—
2211C4—22no—
2212C4—22no—
2213C4—22no—
2214C4—24no—
2215C4—22no—
2216C4—22no—
2217C4—22no—
2218C4—41no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—41no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—42no—
2229C4—41no—
2230C4—42no—
2231C4—41no—
2232C4—41no—
2233C4—42no—
2234C4—42no—
2235C4—41no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C4—42no—
2241C4—42no—
2242C4—42no—
2243C4—41no—
2244C2—42no—
2245C2—42no—
2246C2—82no—
2247C2—82no—
2248C2—82no—
2249C2#6280011yescharacteristic
2250C2#6284711yescharacteristic
2251C2#6287211yescharacteristic
2252C2#6289611yescharacteristic
2253C2#6293911yescharacteristic
2254C2#6300711yescharacteristic
2255C2#6306311yescharacteristic
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. #59878C2semidirect
2. #59180C2semidirect
3. #52304C2semidirect
4. #51150C2semidirect
5. #51119C2semidirect
6. #50566C2semidirect
7. #49149C2semidirect
8. #49121C2semidirect
9. #48820C2semidirect
10. #46723C2semidirect
11. #46593C2semidirect
12. #46091C2semidirect
13. #45786C2semidirect
14. #44842C2semidirect
15. #44748C2semidirect
16. #44713C2semidirect
17. #44547C2semidirect
18. #43716C2semidirect
19. #42833C2semidirect
20. #42373C2semidirect
21. #42234C2semidirect
22. #41696C2semidirect
23. #40386C2semidirect
24. #39640C2semidirect
25. #39317C2semidirect
26. #38828C2semidirect
27. #38800C2semidirect
28. #38770C2semidirect
29. #38487C2semidirect
30. #38484C2semidirect
31. #37730C2semidirect
32. #37315C2semidirect
33. #37219C2semidirect
34. #36396C2semidirect
35. #36056C2semidirect
36. #35568C2semidirect
37. #35107C2semidirect
38. #34519C2semidirect
39. #34314C2semidirect
1248. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598782
#591802
#523042
#511502
#511192
#505662
#491492
#491212
#488202
#467232
#465932
#460912
#457862
#448422
#447482
#447132
#445472
#437162
#428332
#423732
#422342
#416962
#403862
#396402
#393172
#388282
#388002
#387702
#384872
#384842
#377302
#373152
#372192
#363962
#360562
#355682
#351072
#345192
#343142