Finite Group Databasebeta

← #7893271

Subgroups — #7893271

Order 512.

4380 conjugacy classes of subgroups.

The subgroup lattice has 2181 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C211yesmaximal, characteristic, complemented
2#59282C212yesmaximal, complemented
3#52288C211yesmaximal, characteristic, complemented
4#50406C212yesmaximal, complemented
5#50396C212yesmaximal, complemented
6#50149C212yesmaximal, complemented
7#49542C212yesmaximal, complemented
8#49029C212yesmaximal, complemented
9#47943C212yesmaximal, complemented
10#47281C212yesmaximal, complemented
11#47279C212yesmaximal, complemented
12#45964C211yesmaximal, characteristic, complemented
13#45784C211yesmaximal, characteristic, complemented
14#44804C212yesmaximal, complemented
15#44372C212yesmaximal, complemented
16#43781C212yesmaximal, complemented
17#43557C212yesmaximal, complemented
18#43358C212yesmaximal, complemented
19#42372C212yesmaximal, complemented
20#41733C212yesmaximal, complemented
21#41512C212yesmaximal, complemented
22#41043C212yesmaximal, complemented
23#40394C212yesmaximal, complemented
24#39710C211yesmaximal, characteristic, complemented
25#39640C211yesmaximal, characteristic, complemented
26#38800C211yesmaximal, characteristic, complemented
27#38788C211yesmaximal, characteristic, complemented
28#38783C211yesmaximal, characteristic, complemented
29#38780C212yesmaximal, complemented
30#38455C211yesmaximal, characteristic, complemented
31#37927C212yesmaximal, complemented
32#37151C211yesmaximal, characteristic, complemented
33#37140C211yesmaximal, characteristic, complemented
34#36401C211yesmaximal, characteristic, complemented
35#35891C212yesmaximal, complemented
36#35548C212yesmaximal, complemented
37#35039C211yesmaximal, characteristic, complemented
38#34519C212yesmaximal, complemented
39#34327C211yesmaximal, characteristic, complemented
40C2×#562C2212yes—
41C2×#548C2211yescharacteristic
42#2864C2211yescharacteristic
43#2863C2211yescharacteristic
44#2860C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2211yescharacteristic
47#2854C2211yescharacteristic
48#2851C2212yes—
49#2851C2211yescharacteristic
50#2831C2212yes—
51#2827C2212yes—
52#2827C2212yes—
53#2814C2212yes—
54#2809C2212yes—
55#2808C2211yescharacteristic
56#2806C2211yescharacteristic
57#2806C2211yescharacteristic
58#2806C2211yescharacteristic
59#2806C2211yescharacteristic
60#2805C2212yes—
61#2805C2211yescharacteristic
62#2805C2211yescharacteristic
63#2805C2212yes—
64#2805C2211yescharacteristic
65#2804C2211yescharacteristic
66#2799C2212yes—
67#2798C2212yes—
68#2796C2212yes—
69#2796C2212yes—
70#2793C2212yes—
71#2791C2212yes—
72#2788C2212yes—
73#2787C2212yes—
74#2787C2212yes—
75#2786C2212yes—
76#2786C2212yes—
77#2786C2212yes—
78#2783C2212yes—
79#2780C2212yes—
80#2780C2212yes—
81#2780C2212yes—
82#2779C2212yes—
83#2775C2212yes—
84#2775C2212yes—
85#2774C2212yes—
86#2774C2212yes—
87#2774C2212yes—
88#2767C2212yes—
89#2765C2212yes—
90#2762C2212yes—
91#2759C2212yes—
92#2755C2212yes—
93#2755C2212yes—
94#2754C2212yes—
95#2751C2212yes—
96#2751C2212yes—
97#2750C2212yes—
98#2749C2212yes—
99#2749C2212yes—
100#2748C2212yes—
101#2745C2212yes—
102#2744C2212yes—
103#2744C2212yes—
104#2739C2212yes—
105#2739C2212yes—
106#2738C2212yes—
107#2738C2212yes—
108#2738C2212yes—
109#2732C2212yes—
110#2732C2211yescharacteristic
111#2732C2211yescharacteristic
112#2728C2212yes—
113#2727C2212yes—
114#2726C2211yescharacteristic
115#2726C2211yescharacteristic
116#2725C2212yes—
117#2725C2212yes—
118#2724C2211yescharacteristic
119#2721C2212yes—
120#2720C2212yes—
121#2717C2212yes—
122#2717C2212yes—
123#2716C2212yes—
124#2713C2212yes—
125#2707C2212yes—
126#2707C2212yes—
127#2702C2212yes—
128#2701C2212yes—
129#2700C2212yes—
130#2695C2212yes—
131#2695C2212yes—
132#2694C2212yes—
133#2692C2212yes—
134#2692C2212yes—
135#2689C2212yes—
136#2687C2212yes—
137#2686C2212yes—
138#2686C2212yes—
139#2683C2211yescharacteristic
140#2682C2211yescharacteristic
141#2682C2212yes—
142#2680C2212yes—
143#2674C2212yes—
144#2674C2212yes—
145#2674C2212yes—
146#2671C2212yes—
147#2671C2212yes—
148#2667C2212yes—
149#2666C2212yes—
150#2666C2212yes—
151#2655C2212yes—
152#2652C2212yes—
153#2652C2212yes—
154#2649C2212yes—
155#2649C2212yes—
156#2648C2212yes—
157#2648C2212yes—
158#2646C2212yes—
159#2643C2212yes—
160#2643C2212yes—
161#2638C2212yes—
162#2637C2212yes—
163#2634C2212yes—
164#2614C2212yes—
165#2612C2212yes—
166#2612C2212yes—
167#2611C2212yes—
168#2611C2212yes—
169#2609C2212yes—
170#2606C2212yes—
171#2606C2212yes—
172#2606C2212yes—
173#2604C2212yes—
174#2603C2212yes—
175#2602C2212yes—
176#2601C2212yes—
177#2597C2212yes—
178#2596C2212yes—
179#2595C2212yes—
180#2590C2212yes—
181#2590C2212yes—
182#2588C2212yes—
183#2588C2212yes—
184#2588C2212yes—
185#2587C2212yes—
186#2585C2212yes—
187#2585C2212yes—
188#2579C2212yes—
189#2578C2212yes—
190#2578C2212yes—
191#2578C2212yes—
192#2577C2212yes—
193#2577C2212yes—
194#2577C2212yes—
195#2577C2212yes—
196#2575C2212yes—
197#2575C2212yes—
198#2574C2212yes—
199#2568C2212yes—
200#2557C2212yes—
201#2557C2212yes—
202#2556C2212yes—
203#2556C2212yes—
204#2554C2212yes—
205#2553C2212yes—
206#2553C2212yes—
207#2553C2212yes—
208#2550C2212yes—
209#2549C2212yes—
210#2549C2212yes—
211#2546C2212yes—
212#2533C2212yes—
213#2533C2212yes—
214#2530C2212yes—
215#2530C2212yes—
216#2530C2212yes—
217#2530C2212yes—
218#2530C2212yes—
219#2529C2212yes—
220#2529C2212yes—
221#2528C2212yes—
222#2528C2212yes—
223#2526C2212yes—
224#2526C2212yes—
225#2523C2212yes—
226#2523C2212yes—
227#2522C2212yes—
228#2522C2212yes—
229#2522C2212yes—
230#2520C2212yes—
231#2517C2212yes—
232#2517C2212yes—
233#2515C2212yes—
234#2515C2212yes—
235#2515C2212yes—
236#2513C2212yes—
237#2513C2211yescharacteristic
238#2513C2212yes—
239#2511C2212yes—
240#2511C2212yes—
241#2508C2212yes—
242#2507C2212yes—
243#2506C2212yes—
244#2506C2211yescharacteristic
245#2505C2212yes—
246#2505C2212yes—
247#2505C2212yes—
248#2505C2212yes—
249#2505C2212yes—
250#2505C2212yes—
251#2504C2212yes—
252#2499C2211yescharacteristic
253#2498C2212yes—
254#2496C2212yes—
255#2495C2212yes—
256#2495C2211yescharacteristic
257#2493C2212yes—
258#2493C2212yes—
259#2491C2212yes—
260#2490C2211yescharacteristic
261#2489C2212yes—
262#2488C2212yes—
263#2488C2212yes—
264#2485C2211yescharacteristic
265#2485C2211yescharacteristic
266#2478C2212yes—
267#2476C2212yes—
268#2475C2212yes—
269#2475C2212yes—
270#2475C2212yes—
271#2473C2212yes—
272#2471C2212yes—
273#2470C2212yes—
274#2470C2212yes—
275#2469C2212yes—
276#2467C2212yes—
277#2467C2212yes—
278#2466C2212yes—
279#2466C2212yes—
280#2465C2212yes—
281#2462C2212yes—
282#2462C2212yes—
283#2462C2212yes—
284#2460C2212yes—
285#2460C2212yes—
286#2454C2212yes—
287#2453C2211yescharacteristic
288#2451C2211yescharacteristic
289#2449C2212yes—
290#2447C2212yes—
291#2446C2212yes—
292#2443C2212yes—
293#2442C2212yes—
294#2440C2212yes—
295#2439C2212yes—
296#2439C2211yescharacteristic
297#2434C2212yes—
298#2430C2212yes—
299#2427C2212yes—
300#2425C2212yes—
301#2425C2212yes—
302#2425C2212yes—
303#2425C2212yes—
304#2422C2212yes—
305#2421C2211yescharacteristic
306#2421C2212yes—
307#2421C2211yescharacteristic
308#2419C2212yes—
309#2419C2212yes—
310#2419C2212yes—
311#2415C2211yescharacteristic
312#2413C2212yes—
313#2407C2211yescharacteristic
314#2407C2212yes—
315#2406C2212yes—
316#2401C2212yes—
317#2396C2212yes—
318#2396C2212yes—
319#2396C2212yes—
320C2×#400C2212yes—
321#2378C2212yes—
322#2377C2212yes—
323#2376C2212yes—
324#2374C2212yes—
325#2373C2212yes—
326#2372C2212yes—
327#2372C2212yes—
328#2372C2212yes—
329#2371C2212yes—
330#2368C2212yes—
331#2368C2212yes—
332#2368C2212yes—
333#2367C2211yescharacteristic
334#2364C2212yes—
335#2364C2212yes—
336#2363C2212yes—
337#2362C2212yes—
338#2362C2211yescharacteristic
339#2361C2211yescharacteristic
340#2360C2212yes—
341#2360C2212yes—
342#2360C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2359C2212yes—
346#2356C2212yes—
347#2356C2211yescharacteristic
348#2353C2212yes—
349#2352C2211yescharacteristic
350#2352C2212yes—
351#2347C2211yescharacteristic
352#2343C2212yes—
353#2341C2211yescharacteristic
354Q8×C22⋊C4C2211yescharacteristic
355#2339C2211yescharacteristic
356#2337C2212yes—
357#2336C2212yes—
358#2335C2212yes—
359#2335C2212yes—
360#2333C2212yes—
361#2332C2212yes—
362#2332C2212yes—
363#2330C2212yes—
364#2330C2212yes—
365#2329C2212yes—
366#2329C2212yes—
367#2329C2212yes—
368#2326C2212yes—
369#2326C2212yes—
370#2325C2212yes—
371#2325C2212yes—
372#2324C2212yes—
373#2323C2212yes—
374#2322C2212yes—
375#2320C2212yes—
376C4×#124C2211yescharacteristic
377C4×C22⋊Q8C2211yescharacteristic
378C4×C22⋊Q8C2211yescharacteristic
379C4×C22⋊Q8C2212yes—
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2212yes—
382C4×#123C2212yes—
383C4×#121C2211yescharacteristic
384C4×#121C2212yes—
385#2297C2211yescharacteristic
386#2297C2211yescharacteristic
387#2297C2212yes—
388#2296C2211yescharacteristic
389#2295C2211yescharacteristic
390#2295C2211yescharacteristic
391C2×#391C2211yescharacteristic
392#2283C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#562—216no—
399#548—28no—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2311yescharacteristic
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#124C2312yes—
416C2×#124C2311yescharacteristic
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×#117C2312yes—
466C2×#117C2311yescharacteristic
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C42C2312yes—
476C22×C42C2311yescharacteristic
477C22×C42C2311yescharacteristic
478#401C2312yes—
479#401C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
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#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#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
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#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2311yescharacteristic
673#391C2311yescharacteristic
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2311yescharacteristic
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2312yes—
695#391C2312yes—
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2311yescharacteristic
705#390C2312yes—
706#390C2312yes—
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#390C2311yescharacteristic
710#390C2312yes—
711#390C2311yescharacteristic
712#390C2312yes—
713#390C2312yes—
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2311yescharacteristic
733#389C2311yescharacteristic
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2312yes—
759#389C2312yes—
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
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#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
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#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#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#384C2312yes—
1007#384C2312yes—
1008#384C2311yescharacteristic
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2311yescharacteristic
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2311yescharacteristic
1024#382C2311yescharacteristic
1025#382C2311yescharacteristic
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2312yes—
1063#380C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2311yescharacteristic
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2311yescharacteristic
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2311yescharacteristic
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—24no—
1145C2×#41—24no—
1146C2×#41—42no—
1147C2×#41—81no—
1148C2×#41—81no—
1149C2×#41—81no—
1150C22×Q8—24no—
1151C22×Q8—81no—
1152C22×Q8—81no—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2411yescharacteristic
1169C23×C4C2412yes—
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2411yescharacteristic
1187C4⋊Q8—81no—
1188C4⋊Q8—82no—
1189C4⋊Q8—82no—
1190#126—44no—
1191#126—82no—
1192#126—82no—
1193#126—82no—
1194#125—28no—
1195#125—44no—
1196#125—44no—
1197#125—81no—
1198#125—82no—
1199#125—82no—
1200#124—24no—
1201#124—28no—
1202#124—28no—
1203#124—28no—
1204#123—28no—
1205#123—28no—
1206#123—28no—
1207#123—28no—
1208#123—44no—
1209#123—82no—
1210#123—82no—
1211#123—82no—
1212#123—82no—
1213#123—82no—
1214C22⋊Q8—24no—
1215C22⋊Q8—28no—
1216C22⋊Q8—28no—
1217C22⋊Q8—24no—
1218C22⋊Q8—28no—
1219C22⋊Q8—28no—
1220C22⋊Q8—28no—
1221C22⋊Q8—28no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—42no—
1225C22⋊Q8—81no—
1226#121—28no—
1227#121—28no—
1228#121—28no—
1229#121—28no—
1230#121—82no—
1231#121—81no—
1232#121#4118yescomplemented
1233C4×Q8—24no—
1234C4×Q8—24no—
1235C4×Q8—44no—
1236C4×Q8—81no—
1237C4×Q8—81no—
1238C4×Q8—81no—
1239C4×Q8—81no—
1240C4×Q8—82no—
1241C4×D4—28no—
1242C4×D4—24no—
1243C4×D4—44no—
1244C4×D4—42no—
1245C4×D4—44no—
1246C4×D4—42no—
1247C4×D4—44no—
1248C4×D4—81no—
1249C4×D4—82no—
1250C4×D4—81no—
1251C4×D4—82no—
1252#117—42no—
1253#117—44no—
1254#117—42no—
1255#117—82no—
1256#117—82no—
1257#117—81no—
1258#117—81no—
1259C2×C4⋊C4—81no—
1260C2×C4⋊C4—82no—
1261C2×C4⋊C4—82no—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2411yescharacteristic
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1397C2×C22⋊C4C2411yescharacteristic
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
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×C42—44no—
1425C2×C42—81no—
1426C2×C42—81no—
1427C2×C42C2412yes—
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2411yescharacteristic
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2411yescharacteristic
1445C2×C42C2412yes—
1446C2×C42C2411yescharacteristic
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2411yescharacteristic
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456C2×C42C2411yescharacteristic
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461C2×C42C2411yescharacteristic
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466#95C2412yes—
1467#95C2411yescharacteristic
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2411yescharacteristic
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2411yescharacteristic
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—
1586C24C2512yes—
1587C24C2511yescharacteristic
1588C24C2512yes—
1589C24C2511yescharacteristic
1590#41—88no—
1591#41—88no—
1592C2×Q8—22no—
1593C2×Q8—22no—
1594C2×Q8—24no—
1595C2×Q8—24no—
1596C2×Q8—24no—
1597C2×Q8—22no—
1598C2×Q8—41no—
1599C2×Q8—41no—
1600C2×Q8—41no—
1601C2×Q8—41no—
1602C2×Q8—41no—
1603C2×Q8—41no—
1604C2×Q8—42no—
1605C2×Q8—41no—
1606C2×Q8—42no—
1607C2×Q8—42no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8—42no—
1611C2×Q8—41no—
1612C2×Q8—88no—
1613C2×Q82−1+414yes—
1614C2×D4—22no—
1615C2×D4—24no—
1616C2×D4—24no—
1617C2×D4—24no—
1618C2×D4—24no—
1619C2×D4—22no—
1620C2×D4—24no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—41no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C2×D4—41no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—41no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—41no—
1639C2×D4C2×#4118yes—
1640C2×D4C2×#4114yes—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—22no—
1646C22×C4—24no—
1647C22×C4—22no—
1648C22×C4—24no—
1649C22×C4—22no—
1650C22×C4—22no—
1651C22×C4—24no—
1652C22×C4—24no—
1653C22×C4—22no—
1654C22×C4—22no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—41no—
1666C22×C4—41no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—41no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
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×C4C2×#4114yes—
1695C22×C4C2511yescharacteristic
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2511yescharacteristic
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2511yescharacteristic
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2511yescharacteristic
1724C22×C4C2512yes—
1725C22×C4C2511yescharacteristic
1726C22×C4C2512yes—
1727C22×C4C2511yescharacteristic
1728C22×C4C2511yescharacteristic
1729C22×C4C2511yescharacteristic
1730C4⋊C4—22no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—22no—
1744C4⋊C4—22no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—22no—
1751C4⋊C4—22no—
1752C4⋊C4—24no—
1753C4⋊C4—22no—
1754C4⋊C4—22no—
1755C4⋊C4—24no—
1756C4⋊C4—42no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—41no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—41no—
1778C4⋊C4—42no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—41no—
1783C4⋊C4—41no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—41no—
1794C4⋊C4—41no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4C2×#4114yes—
1826C22⋊C4—22no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—22no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—22no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
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—41no—
1867C22⋊C4—41no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—41no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
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⋊C4C2×#4118yes—
1892C42—22no—
1893C42—24no—
1894C42—24no—
1895C42—22no—
1896C42—24no—
1897C42—24no—
1898C42—24no—
1899C42—24no—
1900C42—22no—
1901C42—42no—
1902C42—42no—
1903C42—41no—
1904C42—41no—
1905C42—41no—
1906C42—41no—
1907C42—41no—
1908C42—41no—
1909C42—41no—
1910C42—41no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—41no—
1924C42—41no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C23—21no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—21no—
1936C23—21no—
1937C23—22no—
1938C23—21no—
1939C23—21no—
1940C23—22no—
1941C23—21no—
1942C23—22no—
1943C23—22no—
1944C23—21no—
1945C23—21no—
1946C23—22no—
1947C23—22no—
1948C23—21no—
1949C23—21no—
1950C23—22no—
1951C23—22no—
1952C23—21no—
1953C23—22no—
1954C23—21no—
1955C23—22no—
1956C23—21no—
1957C23C22×#4112yes—
1958C23C22×#4114yes—
1959C23C2611yescharacteristic
1960Q8—44no—
1961Q8—44no—
1962Q8—44no—
1963Q8—84no—
1964Q8—84no—
1965Q8—82no—
1966Q8—84no—
1967D4—48no—
1968D4—44no—
1969D4—44no—
1970D4—84no—
1971D4—82no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975D4—84no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—21no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—21no—
2015C2×C4—22no—
2016C2×C4—21no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—21no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—21no—
2073C2×C4—22no—
2074C2×C4—44no—
2075C2×C4—48no—
2076C2×C4—44no—
2077C2×C4—44no—
2078C2×C4—44no—
2079C2×C4—84no—
2080C2×C4—82no—
2081C2×C4—82no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—84no—
2087C2×C4—84no—
2088C2×C4—84no—
2089C2×C4—162no—
2090C2×C4—162no—
2091C2×C4—162no—
2092C2×C4C22×#4114yes—
2093C2×C4C22×#4112yes—
2094C2×C4C22×#4112yes—
2095C2×C4C2×2−1+414yes—
2096C2×C4C2×2−1+412yes—
2097C2×C4#58512yes—
2098C2×C4#58512yes—
2099C22—22no—
2100C22—24no—
2101C22—24no—
2102C22—22no—
2103C22—22no—
2104C22—24no—
2105C22—41no—
2106C22—42no—
2107C22—42no—
2108C22—41no—
2109C22—42no—
2110C22—41no—
2111C22—42no—
2112C22—41no—
2113C22—42no—
2114C22—41no—
2115C22—42no—
2116C22—41no—
2117C22—42no—
2118C22—41no—
2119C22—41no—
2120C22—42no—
2121C22—41no—
2122C22—42no—
2123C22—41no—
2124C22—42no—
2125C22—42no—
2126C22—41no—
2127C22C23×#4111yescharacteristic
2128C22C22×2−1+411yescharacteristic
2129C22C2×#58511yescharacteristic
2130C22C2×#58511yescharacteristic
2131C22H(7,𝔽2)11yescharacteristic
2132C22H(7,𝔽2)11yescharacteristic
2133C222−1+611yescharacteristic
2134C4—24no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—24no—
2140C4—22no—
2141C4—41no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—41no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—41no—
2152C4—41no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—41no—
2159C4—42no—
2160C4—41no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—41no—
2165C4—41no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C2—44no—
2170C2—42no—
2171C2—82no—
2172C2—81no—
2173C2#6278111yescharacteristic
2174C2#6284611yescharacteristic
2175C2#6286811yescharacteristic
2176C2#6290311yescharacteristic
2177C2#6295211yescharacteristic
2178C2#6300111yescharacteristic
2179C2#6306511yescharacteristic
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. #60044C2semidirect
2. #59282C2semidirect
3. #52288C2semidirect
4. #50406C2semidirect
5. #50396C2semidirect
6. #50149C2semidirect
7. #49542C2semidirect
8. #49029C2semidirect
9. #47943C2semidirect
10. #47281C2semidirect
11. #47279C2semidirect
12. #45964C2semidirect
13. #45784C2semidirect
14. #44804C2semidirect
15. #44372C2semidirect
16. #43781C2semidirect
17. #43557C2semidirect
18. #43358C2semidirect
19. #42372C2semidirect
20. #41733C2semidirect
21. #41512C2semidirect
22. #41043C2semidirect
23. #40394C2semidirect
24. #39710C2semidirect
25. #39640C2semidirect
26. #38800C2semidirect
27. #38788C2semidirect
28. #38783C2semidirect
29. #38780C2semidirect
30. #38455C2semidirect
31. #37927C2semidirect
32. #37151C2semidirect
33. #37140C2semidirect
34. #36401C2semidirect
35. #35891C2semidirect
36. #35548C2semidirect
37. #35039C2semidirect
38. #34519C2semidirect
39. #34327C2semidirect
1232. #121#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#592822
#522882
#504062
#503962
#501492
#495422
#490292
#479432
#472812
#472792
#459642
#457842
#448042
#443722
#437812
#435572
#433582
#423722
#417332
#415122
#410432
#403942
#397102
#396402
#388002
#387882
#387832
#387802
#384552
#379272
#371512
#371402
#364012
#358912
#355482
#350392
#345192
#343272