Finite Group Databasebeta

← #8254777

Subgroups — #8254777

Order 512.

4595 conjugacy classes of subgroups.

The subgroup lattice has 2262 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59730C212yesmaximal, complemented
2#58452C212yesmaximal, complemented
3#58399C212yesmaximal, complemented
4#57374C212yesmaximal, complemented
5#55585C212yesmaximal, complemented
6#55068C212yesmaximal, complemented
7#54726C212yesmaximal, complemented
8#54656C212yesmaximal, complemented
9#54500C212yesmaximal, complemented
10#53342C211yesmaximal, characteristic, complemented
11#53209C211yesmaximal, characteristic, complemented
12#52875C212yesmaximal, complemented
13#52305C211yesmaximal, characteristic, complemented
14#47875C212yesmaximal, complemented
15#47859C212yesmaximal, complemented
16#47688C212yesmaximal, complemented
17#47210C212yesmaximal, complemented
18#46281C211yesmaximal, characteristic, complemented
19#46000C212yesmaximal, complemented
20#45784C211yesmaximal, characteristic, complemented
21#44749C212yesmaximal, complemented
22#44698C212yesmaximal, complemented
23#44504C212yesmaximal, complemented
24#42235C212yesmaximal, complemented
25#41586C212yesmaximal, complemented
26#40050C212yesmaximal, complemented
27#39454C211yesmaximal, characteristic, complemented
28#39447C211yesmaximal, characteristic, complemented
29#39445C211yesmaximal, characteristic, complemented
30#39445C211yesmaximal, characteristic, complemented
31#39382C212yesmaximal, complemented
32#39305C212yesmaximal, complemented
33#38302C212yesmaximal, complemented
34#37218C211yesmaximal, characteristic, complemented
35#37152C211yesmaximal, characteristic, complemented
36#37152C211yesmaximal, characteristic, complemented
37#36503C211yesmaximal, characteristic, complemented
38#36459C211yesmaximal, characteristic, complemented
39#35287C211yesmaximal, characteristic, complemented
40C2×#563C2212yes—
41C2×#562C2212yes—
42C2×#541C2212yes—
43C2×#540C2212yes—
44C2×#539C2212yes—
45C2×#539C2212yes—
46#2861C2212yes—
47#2860C2211yescharacteristic
48#2860C2211yescharacteristic
49#2860C2211yescharacteristic
50#2860C2211yescharacteristic
51#2860C2211yescharacteristic
52#2860C2211yescharacteristic
53#2858C2212yes—
54#2857C2211yescharacteristic
55#2854C2211yescharacteristic
56#2854C2211yescharacteristic
57#2851C2211yescharacteristic
58#2838C2212yes—
59#2836C2212yes—
60#2831C2212yes—
61#2831C2212yes—
62#2826C2212yes—
63#2826C2212yes—
64#2824C2212yes—
65#2823C2212yes—
66#2822C2212yes—
67#2820C2212yes—
68#2819C2212yes—
69#2814C2212yes—
70#2813C2212yes—
71#2813C2212yes—
72#2810C2211yescharacteristic
73#2806C2212yes—
74#2796C2212yes—
75#2784C2212yes—
76#2781C2212yes—
77#2781C2212yes—
78#2780C2212yes—
79#2780C2212yes—
80#2780C2212yes—
81#2778C2212yes—
82#2772C2212yes—
83#2767C2212yes—
84#2767C2212yes—
85#2767C2212yes—
86#2762C2212yes—
87#2758C2212yes—
88#2757C2212yes—
89#2757C2212yes—
90#2757C2212yes—
91#2757C2212yes—
92#2751C2212yes—
93#2751C2212yes—
94#2750C2212yes—
95#2749C2212yes—
96#2742C2212yes—
97#2741C2212yes—
98#2738C2212yes—
99#2730C2212yes—
100#2730C2212yes—
101#2729C2212yes—
102#2728C2212yes—
103#2727C2211yescharacteristic
104#2727C2211yescharacteristic
105#2727C2211yescharacteristic
106#2726C2212yes—
107#2726C2211yescharacteristic
108#2726C2211yescharacteristic
109#2726C2211yescharacteristic
110#2726C2211yescharacteristic
111#2725C2212yes—
112#2725C2212yes—
113#2725C2212yes—
114#2725C2212yes—
115#2724C2211yescharacteristic
116#2722C2212yes—
117#2722C2212yes—
118#2721C2212yes—
119#2720C2212yes—
120#2720C2212yes—
121#2720C2212yes—
122#2719C2212yes—
123#2719C2212yes—
124#2719C2212yes—
125#2718C2212yes—
126#2717C2212yes—
127#2717C2212yes—
128#2716C2212yes—
129#2714C2212yes—
130#2714C2212yes—
131#2714C2212yes—
132#2714C2212yes—
133#2714C2212yes—
134#2714C2212yes—
135#2714C2212yes—
136#2713C2212yes—
137#2711C2212yes—
138#2710C2212yes—
139#2708C2212yes—
140#2708C2212yes—
141#2707C2212yes—
142#2706C2212yes—
143#2706C2212yes—
144#2705C2212yes—
145#2705C2212yes—
146#2705C2212yes—
147#2705C2212yes—
148#2705C2212yes—
149#2704C2212yes—
150#2703C2212yes—
151#2703C2212yes—
152#2703C2212yes—
153#2703C2212yes—
154#2703C2212yes—
155#2702C2212yes—
156#2699C2212yes—
157#2698C2212yes—
158#2698C2212yes—
159#2696C2212yes—
160#2696C2212yes—
161#2695C2212yes—
162#2695C2212yes—
163#2695C2212yes—
164#2695C2212yes—
165#2694C2212yes—
166#2694C2212yes—
167#2694C2212yes—
168#2694C2212yes—
169#2694C2212yes—
170#2694C2212yes—
171#2693C2212yes—
172#2692C2212yes—
173#2692C2212yes—
174#2691C2212yes—
175#2691C2212yes—
176#2691C2212yes—
177#2691C2212yes—
178#2689C2212yes—
179#2687C2212yes—
180#2687C2212yes—
181#2683C2211yescharacteristic
182#2683C2211yescharacteristic
183#2682C2211yescharacteristic
184#2682C2211yescharacteristic
185#2682C2211yescharacteristic
186#2682C2211yescharacteristic
187#2682C2211yescharacteristic
188#2681C2212yes—
189#2681C2212yes—
190#2681C2212yes—
191#2680C2212yes—
192#2677C2212yes—
193#2677C2212yes—
194#2674C2212yes—
195#2673C2212yes—
196#2673C2212yes—
197#2673C2212yes—
198#2673C2212yes—
199#2671C2212yes—
200#2661C2212yes—
201#2659C2212yes—
202#2654C2212yes—
203#2653C2212yes—
204#2651C2212yes—
205#2651C2212yes—
206#2651C2212yes—
207#2651C2212yes—
208#2648C2212yes—
209#2647C2211yescharacteristic
210#2646C2212yes—
211#2641C2211yescharacteristic
212#2637C2212yes—
213#2636C2212yes—
214#2636C2212yes—
215#2630C2212yes—
216#2630C2212yes—
217#2629C2211yescharacteristic
218#2621C2212yes—
219#2619C2211yescharacteristic
220#2619C2212yes—
221#2610C2212yes—
222#2602C2212yes—
223#2601C2212yes—
224#2596C2212yes—
225#2594C2212yes—
226#2593C2212yes—
227#2593C2212yes—
228#2591C2212yes—
229#2589C2212yes—
230#2587C2212yes—
231#2587C2212yes—
232#2584C2212yes—
233#2574C2212yes—
234#2566C2212yes—
235#2566C2211yescharacteristic
236#2564C2212yes—
237#2563C2211yescharacteristic
238#2560C2212yes—
239#2560C2212yes—
240#2560C2212yes—
241#2560C2212yes—
242#2560C2212yes—
243#2559C2212yes—
244#2558C2212yes—
245#2558C2212yes—
246#2558C2212yes—
247#2558C2212yes—
248#2558C2212yes—
249#2557C2212yes—
250#2556C2212yes—
251#2556C2212yes—
252#2556C2212yes—
253#2554C2212yes—
254#2554C2212yes—
255#2554C2212yes—
256#2554C2212yes—
257#2554C2212yes—
258#2554C2212yes—
259#2554C2212yes—
260#2554C2212yes—
261#2554C2212yes—
262#2553C2212yes—
263#2553C2212yes—
264#2552C2211yescharacteristic
265#2550C2211yescharacteristic
266#2550C2212yes—
267#2549C2212yes—
268#2543C2212yes—
269#2540C2212yes—
270#2540C2212yes—
271#2540C2212yes—
272#2536C2212yes—
273#2532C2212yes—
274#2532C2212yes—
275#2531C2212yes—
276#2531C2212yes—
277#2527C2212yes—
278#2525C2212yes—
279#2525C2212yes—
280#2522C2212yes—
281#2522C2212yes—
282#2519C2212yes—
283#2519C2212yes—
284#2518C2212yes—
285#2513C2212yes—
286#2505C2212yes—
287#2504C2212yes—
288#2497C2211yescharacteristic
289#2496C2212yes—
290#2495C2211yescharacteristic
291#2495C2211yescharacteristic
292#2494C2211yescharacteristic
293#2491C2212yes—
294#2491C2211yescharacteristic
295#2490C2212yes—
296#2490C2212yes—
297#2490C2211yescharacteristic
298#2490C2211yescharacteristic
299#2490C2212yes—
300#2490C2211yescharacteristic
301#2490C2212yes—
302#2489C2212yes—
303#2488C2212yes—
304#2486C2212yes—
305#2485C2212yes—
306#2479C2212yes—
307#2475C2212yes—
308#2474C2212yes—
309#2474C2212yes—
310#2473C2212yes—
311#2473C2212yes—
312#2470C2212yes—
313#2470C2212yes—
314#2469C2212yes—
315#2468C2212yes—
316#2468C2212yes—
317#2466C2212yes—
318#2464C2212yes—
319#2464C2212yes—
320#2464C2212yes—
321#2464C2212yes—
322#2462C2212yes—
323#2461C2212yes—
324#2461C2212yes—
325#2461C2212yes—
326#2461C2212yes—
327#2461C2212yes—
328#2461C2212yes—
329#2461C2212yes—
330#2459C2212yes—
331#2457C2212yes—
332#2457C2212yes—
333#2456C2212yes—
334#2456C2212yes—
335#2454C2212yes—
336#2449C2212yes—
337#2449C2212yes—
338#2445C2212yes—
339#2444C2212yes—
340#2440C2212yes—
341#2440C2212yes—
342#2429C2212yes—
343#2428C2212yes—
344#2427C2212yes—
345#2427C2212yes—
346#2426C2212yes—
347#2426C2212yes—
348#2425C2212yes—
349#2425C2212yes—
350#2425C2212yes—
351#2415C2212yes—
352#2413C2212yes—
353#2402C2212yes—
354#2402C2212yes—
355#2402C2212yes—
356#2374C2212yes—
357#2373C2212yes—
358#2370C2211yescharacteristic
359#2369C2211yescharacteristic
360#2367C2212yes—
361#2367C2212yes—
362#2362C2212yes—
363#2361C2212yes—
364#2361C2212yes—
365#2359C2212yes—
366#2359C2212yes—
367#2357C2211yescharacteristic
368#2354C2212yes—
369#2354C2211yescharacteristic
370#2353C2212yes—
371#2347C2212yes—
372#2337C2212yes—
373#2335C2212yes—
374#2335C2212yes—
375#2334C2212yes—
376#2324C2211yescharacteristic
377#2324C2212yes—
378#2324C2211yescharacteristic
379#2319C2211yescharacteristic
380#2319C2211yescharacteristic
381C4×C4⋊Q8C2211yescharacteristic
382C4×#127C2211yescharacteristic
383C4×#125C2211yescharacteristic
384C4×#125C2211yescharacteristic
385C4×#125C2211yescharacteristic
386C4×#125C2211yescharacteristic
387C4×#125C2212yes—
388C4×#125C2212yes—
389C4×#125C2212yes—
390C4×#126C2212yes—
391C4×#121C2211yescharacteristic
392C4×#121C2211yescharacteristic
393#2293C2212yes—
394C4×#117C2211yescharacteristic
395#563—48no—
396#562—48no—
397#541—48no—
398#540—48no—
399#539—48no—
400#539—48no—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×#127C2311yescharacteristic
406C2×#127C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#125C2311yescharacteristic
421C2×#125C2311yescharacteristic
422C2×#125C2312yes—
423C2×#125C2311yescharacteristic
424C2×#125C2312yes—
425C2×#125C2311yescharacteristic
426C2×#125C2312yes—
427C2×#125C2312yes—
428C2×#125C2312yes—
429C2×#125C2311yescharacteristic
430C2×#125C2312yes—
431C2×#125C2312yes—
432C2×#125C2312yes—
433C2×#125C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#124C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2312yes—
456C2×#123C2312yes—
457C2×#123C2312yes—
458C2×#123C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2312yes—
468C2×C22⋊Q8C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2312yes—
473C2×C22⋊Q8C2312yes—
474C2×#121C2311yescharacteristic
475C2×#121C2311yescharacteristic
476C2×#121C2311yescharacteristic
477C2×#121C2311yescharacteristic
478C2×#121C2312yes—
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×#121C2312yes—
487C2×#121C2312yes—
488C2×#121C2312yes—
489C2×#121C2312yes—
490C2×#121C2312yes—
491C2×C4×Q8C2312yes—
492C2×C4×Q8C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C42C2311yescharacteristic
514#401C2312yes—
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#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#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#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
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#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
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#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#390C2311yescharacteristic
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2311yescharacteristic
757#390C2311yescharacteristic
758#390C2311yescharacteristic
759#390C2311yescharacteristic
760#390C2312yes—
761#390C2311yescharacteristic
762#390C2311yescharacteristic
763#390C2312yes—
764#390C2311yescharacteristic
765#390C2311yescharacteristic
766#390C2311yescharacteristic
767#390C2311yescharacteristic
768#390C2312yes—
769#390C2312yes—
770#390C2311yescharacteristic
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#390C2312yes—
780#390C2312yes—
781#390C2311yescharacteristic
782#390C2311yescharacteristic
783#390C2311yescharacteristic
784#390C2311yescharacteristic
785#390C2311yescharacteristic
786#390C2311yescharacteristic
787#390C2312yes—
788#390C2312yes—
789#390C2312yes—
790#390C2312yes—
791#390C2312yes—
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2311yescharacteristic
800#389C2311yescharacteristic
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2311yescharacteristic
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2311yescharacteristic
810#389C2311yescharacteristic
811#389C2311yescharacteristic
812#389C2311yescharacteristic
813#389C2311yescharacteristic
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2311yescharacteristic
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2311yescharacteristic
825#389C2311yescharacteristic
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2311yescharacteristic
833#389C2311yescharacteristic
834#389C2311yescharacteristic
835#389C2311yescharacteristic
836#389C2311yescharacteristic
837#389C2311yescharacteristic
838#389C2312yes—
839#389C2312yes—
840#389C2312yes—
841#389C2312yes—
842#389C2312yes—
843#389C2312yes—
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#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
909#388C2312yes—
910#388C2312yes—
911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
919#388C2312yes—
920#388C2312yes—
921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
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#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
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#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#384C2311yescharacteristic
1041#384C2311yescharacteristic
1042#384C2312yes—
1043#384C2311yescharacteristic
1044#383C2312yes—
1045#383C2312yes—
1046#383C2312yes—
1047#382C2311yescharacteristic
1048#382C2311yescharacteristic
1049#382C2312yes—
1050#382C2311yescharacteristic
1051#382C2312yes—
1052#382C2312yes—
1053#382C2311yescharacteristic
1054#382C2312yes—
1055#382C2311yescharacteristic
1056#382C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#381C2312yes—
1060#381C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2311yescharacteristic
1068#380C2311yescharacteristic
1069#380C2312yes—
1070#380C2311yescharacteristic
1071#380C2311yescharacteristic
1072#380C2312yes—
1073#380C2311yescharacteristic
1074#380C2311yescharacteristic
1075#380C2312yes—
1076#380C2312yes—
1077#380C2311yescharacteristic
1078#380C2312yes—
1079#380C2312yes—
1080#380C2312yes—
1081#380C2312yes—
1082#380C2312yes—
1083#380C2312yes—
1084#380C2312yes—
1085#380C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C4⋊C4C2311yescharacteristic
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2312yes—
1113C4×C4⋊C4C2311yescharacteristic
1114C4×C4⋊C4C2311yescharacteristic
1115C4×C4⋊C4C2311yescharacteristic
1116C4×C4⋊C4C2311yescharacteristic
1117C4×C4⋊C4C2311yescharacteristic
1118C4×C4⋊C4C2311yescharacteristic
1119C4×C4⋊C4C2311yescharacteristic
1120C4×C4⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2311yescharacteristic
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139C4×C22⋊C4C2311yescharacteristic
1140#376C2311yescharacteristic
1141#376C2312yes—
1142#376C2311yescharacteristic
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2312yes—
1146C43C2311yescharacteristic
1147C43C2311yescharacteristic
1148C22×Q8C2412yes—
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×Q8C2412yes—
1152C22×D4C2411yescharacteristic
1153C22×D4C2412yes—
1154C22×D4C2411yescharacteristic
1155C22×D4C2412yes—
1156C22×D4C2412yes—
1157C22×D4C2411yescharacteristic
1158C22×D4C2411yescharacteristic
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C4⋊Q8—24no—
1188C4⋊Q8—42no—
1189C4⋊Q8—44no—
1190C4⋊Q8—44no—
1191#127—42no—
1192#127—44no—
1193#126—28no—
1194#126—44no—
1195#126—44no—
1196#126—44no—
1197#126—44no—
1198#126—44no—
1199#126—44no—
1200#126—44no—
1201#126—44no—
1202#126—44no—
1203#126—44no—
1204#126—44no—
1205#126—44no—
1206#125—24no—
1207#125—24no—
1208#125—28no—
1209#125—24no—
1210#125—28no—
1211#125—42no—
1212#125—42no—
1213#125—44no—
1214#125—44no—
1215#125—44no—
1216#125—44no—
1217#125—44no—
1218#125—44no—
1219#125—44no—
1220#124—44no—
1221#124—44no—
1222#124—44no—
1223#124—44no—
1224#124—44no—
1225#124—44no—
1226#123—28no—
1227#123—28no—
1228#123—44no—
1229#123—44no—
1230#123—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236#123—44no—
1237#123—44no—
1238#123—44no—
1239#123—44no—
1240#123—44no—
1241#123—44no—
1242#123—44no—
1243#123—44no—
1244#123—44no—
1245C22⋊Q8—28no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251C22⋊Q8—44no—
1252C22⋊Q8—44no—
1253C22⋊Q8—44no—
1254C22⋊Q8—44no—
1255C22⋊Q8—44no—
1256C22⋊Q8—44no—
1257C22⋊Q8—44no—
1258C22⋊Q8—44no—
1259C22⋊Q8—44no—
1260#121—24no—
1261#121—24no—
1262#121—44no—
1263#121—42no—
1264#121—42no—
1265#121—44no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—44no—
1272#121—44no—
1273#121—44no—
1274#121—44no—
1275#121—44no—
1276#121—44no—
1277C4×Q8—44no—
1278C4×Q8—44no—
1279C4×D4—42no—
1280C4×D4—42no—
1281C4×D4—42no—
1282C4×D4—44no—
1283C4×D4—44no—
1284C4×D4—44no—
1285C4×D4—44no—
1286C4×D4—44no—
1287C4×D4—42no—
1288C4×D4—44no—
1289C4×D4—44no—
1290C4×D4—44no—
1291C4×D4—44no—
1292#117—42no—
1293#117—42no—
1294#117—44no—
1295#117—44no—
1296#117—44no—
1297C2×C4⋊C4—44no—
1298C2×C4⋊C4—44no—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2411yescharacteristic
1394C2×C4⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1421C2×C22⋊C4C2411yescharacteristic
1422C2×C22⋊C4C2411yescharacteristic
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊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⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C42—42no—
1488C2×C42C2412yes—
1489C2×C42C2411yescharacteristic
1490C2×C42C2412yes—
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2411yescharacteristic
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2412yes—
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2412yes—
1520C2×C42C2411yescharacteristic
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2411yescharacteristic
1533#95C2411yescharacteristic
1534#95C2411yescharacteristic
1535#95C2411yescharacteristic
1536#95C2411yescharacteristic
1537#95C2411yescharacteristic
1538#95C2411yescharacteristic
1539#95C2411yescharacteristic
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616C24C2512yes—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2511yescharacteristic
1621C2×Q8—24no—
1622C2×Q8—24no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×D4—24no—
1634C2×D4—22no—
1635C2×D4—22no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—22no—
1640C2×D4—22no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—41no—
1647C2×D4—41no—
1648C2×D4—41no—
1649C2×D4—41no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
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—42no—
1664C2×D4—42no—
1665C2×D4—41no—
1666C2×D4—41no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
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—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C22×C4—22no—
1694C22×C4—22no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—22no—
1698C22×C4—24no—
1699C22×C4—22no—
1700C22×C4—24no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—41no—
1714C22×C4—41no—
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—42no—
1728C22×C4—42no—
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×C4C2511yescharacteristic
1739C22×C4C2511yescharacteristic
1740C22×C4C2511yescharacteristic
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2511yescharacteristic
1745C22×C4C2511yescharacteristic
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2511yescharacteristic
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2511yescharacteristic
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2511yescharacteristic
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
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—22no—
1793C4⋊C4—22no—
1794C4⋊C4—22no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—22no—
1799C4⋊C4—22no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—22no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—41no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—41no—
1816C4⋊C4—41no—
1817C4⋊C4—41no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—41no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—41no—
1851C4⋊C4—41no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—41no—
1865C4⋊C4—41no—
1866C4⋊C4H(5,𝔽2)14yes—
1867C4⋊C4H(5,𝔽2)14yes—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—22no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
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—41no—
1907C22⋊C4—41no—
1908C22⋊C4—41no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊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⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C42—24no—
1961C42—22no—
1962C42—22no—
1963C42—24no—
1964C42—22no—
1965C42—24no—
1966C42—22no—
1967C42—22no—
1968C42—22no—
1969C42—22no—
1970C42—24no—
1971C42—22no—
1972C42—22no—
1973C42—24no—
1974C42—41no—
1975C42—41no—
1976C42—41no—
1977C42—41no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—41no—
1983C42—41no—
1984C42—42no—
1985C42—41no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—42no—
1994C42—42no—
1995C42—42no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—21no—
2005C23—21no—
2006C23—21no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—21no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—21no—
2021C23—22no—
2022C23—22no—
2023C23—22no—
2024C23—22no—
2025C23—21no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—21no—
2030C23—22no—
2031C23C2611yescharacteristic
2032Q8—84no—
2033Q8—84no—
2034Q8—162no—
2035Q8—162no—
2036D4—82no—
2037D4—82no—
2038D4—84no—
2039D4—84no—
2040D4—84no—
2041D4—84no—
2042D4—82no—
2043D4—82no—
2044D4—84no—
2045D4—84no—
2046D4—84no—
2047D4—84no—
2048D4—84no—
2049D4—162no—
2050D4—162no—
2051D4—162no—
2052D4—162no—
2053D4—162no—
2054D4—162no—
2055D4—162no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—21no—
2063C2×C4—21no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—21no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—21no—
2075C2×C4—22no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—22no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—22no—
2105C2×C4—21no—
2106C2×C4—21no—
2107C2×C4—21no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—21no—
2112C2×C4—22no—
2113C2×C4—21no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—21no—
2133C2×C4—21no—
2134C2×C4—21no—
2135C2×C4—22no—
2136C2×C4—21no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—21no—
2140C2×C4—21no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—22no—
2151C2×C4—44no—
2152C2×C4—84no—
2153C2×C4—84no—
2154C2×C4—84no—
2155C2×C4—84no—
2156C2×C4—82no—
2157C2×C4—82no—
2158C2×C4—84no—
2159C2×C4—162no—
2160C2×C4—162no—
2161C2×C4—162no—
2162C2×C4—162no—
2163C2×C4—162no—
2164C2×C4—162no—
2165C2×C4—162no—
2166C2×C4C2×H(5,𝔽2)12yes—
2167C2×C4C2×H(5,𝔽2)12yes—
2168C2×C4C2×H(5,𝔽2)14yes—
2169C2×C4C2×H(5,𝔽2)14yes—
2170C2×C4#58512yes—
2171C2×C4#58512yes—
2172C2×C4#58512yes—
2173C22—41no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—41no—
2183C22—41no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—41no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—41no—
2198C22—41no—
2199C22—41no—
2200C22—42no—
2201C22—42no—
2202C22—42no—
2203C22—42no—
2204C22—42no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22C22×H(5,𝔽2)11yescharacteristic
2209C22C22×H(5,𝔽2)11yescharacteristic
2210C22C2×#58511yescharacteristic
2211C22C2×#58511yescharacteristic
2212C22C2×#58511yescharacteristic
2213C222−1+611yescharacteristic
2214C222−1+611yescharacteristic
2215C4—22no—
2216C4—22no—
2217C4—24no—
2218C4—22no—
2219C4—24no—
2220C4—22no—
2221C4—22no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—41no—
2227C4—42no—
2228C4—42no—
2229C4—42no—
2230C4—41no—
2231C4—41no—
2232C4—41no—
2233C4—42no—
2234C4—42no—
2235C4—41no—
2236C4—42no—
2237C4—41no—
2238C4—42no—
2239C4—42no—
2240C4—41no—
2241C4—42no—
2242C4—41no—
2243C4—41no—
2244C4—42no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—42no—
2249C2—81no—
2250C2—82no—
2251C2—82no—
2252C2—82no—
2253C2—82no—
2254C2#6275511yescharacteristic
2255C2#6292111yescharacteristic
2256C2#6292211yescharacteristic
2257C2#6293111yescharacteristic
2258C2#6293111yescharacteristic
2259C2#6301411yescharacteristic
2260C2#6306811yescharacteristic
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. #59730C2semidirect
2. #58452C2semidirect
3. #58399C2semidirect
4. #57374C2semidirect
5. #55585C2semidirect
6. #55068C2semidirect
7. #54726C2semidirect
8. #54656C2semidirect
9. #54500C2semidirect
10. #53342C2semidirect
11. #53209C2semidirect
12. #52875C2semidirect
13. #52305C2semidirect
14. #47875C2semidirect
15. #47859C2semidirect
16. #47688C2semidirect
17. #47210C2semidirect
18. #46281C2semidirect
19. #46000C2semidirect
20. #45784C2semidirect
21. #44749C2semidirect
22. #44698C2semidirect
23. #44504C2semidirect
24. #42235C2semidirect
25. #41586C2semidirect
26. #40050C2semidirect
27. #39454C2semidirect
28. #39447C2semidirect
29. #39445C2semidirect
30. #39445C2semidirect
31. #39382C2semidirect
32. #39305C2semidirect
33. #38302C2semidirect
34. #37218C2semidirect
35. #37152C2semidirect
36. #37152C2semidirect
37. #36503C2semidirect
38. #36459C2semidirect
39. #35287C2semidirect

Maximal subgroups

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

subgroupindex
#597302
#584522
#583992
#573742
#555852
#550682
#547262
#546562
#545002
#533422
#532092
#528752
#523052
#478752
#478592
#476882
#472102
#462812
#460002
#457842
#447492
#446982
#445042
#422352
#415862
#400502
#394542
#394472
#394452
#393822
#393052
#383022
#372182
#371522
#365032
#364592
#352872