Finite Group Databasebeta

← #7671751

Subgroups — #7671751

Order 512.

4845 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59299C212yesmaximal, complemented
2#59297C212yesmaximal, complemented
3#59261C212yesmaximal, complemented
4#59251C212yesmaximal, complemented
5#59231C212yesmaximal, complemented
6#59221C212yesmaximal, complemented
7#59202C212yesmaximal, complemented
8#59200C212yesmaximal, complemented
9#39932C212yesmaximal, complemented
10#39928C212yesmaximal, complemented
11#39908C212yesmaximal, complemented
12#39904C212yesmaximal, complemented
13#37985C212yesmaximal, complemented
14#37973C212yesmaximal, complemented
15#37856C212yesmaximal, complemented
16#37844C212yesmaximal
17#36625C211yesmaximal, characteristic, complemented
18#36514C212yesmaximal, complemented
19#36451C212yesmaximal, complemented
20#36310C212yesmaximal, complemented
21#36284C212yesmaximal, complemented
22#36210C211yesmaximal, characteristic, complemented
23#36210C211yesmaximal, characteristic, complemented
24#36209C211yesmaximal, characteristic, complemented
25#36209C211yesmaximal, characteristic, complemented
26#36194C211yesmaximal, characteristic, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36189C211yesmaximal, characteristic, complemented
29#36188C211yesmaximal, characteristic, complemented
30#35655C212yesmaximal, complemented
31#35647C212yesmaximal, complemented
32#35297C211yesmaximal, characteristic, complemented
33#35294C211yesmaximal, characteristic, complemented
34#35163C212yesmaximal, complemented
35#34307C212yesmaximal, complemented
36#34225C211yesmaximal, characteristic, complemented
37#34188C211yesmaximal, characteristic, complemented
38C4×#525C211yesmaximal, characteristic
39#34012C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#533C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C23×C42C2211yescharacteristic
45#2868C2211yescharacteristic, complemented
46#2866C2214yescomplemented
47#2864C2214yescomplemented
48#2859C2211yescharacteristic, complemented
49#2859C2211yescharacteristic, complemented
50#2859C2211yescharacteristic, complemented
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic, complemented
56#2857C2211yescharacteristic, complemented
57#2857C2211yescharacteristic, complemented
58#2857C2211yescharacteristic, complemented
59#2855C2212yes—
60#2855C2212yes—
61#2851C2212yes—
62#2851C2212yes—
63#2848C2212yes—
64#2848C2212yes—
65#2776C2214yescomplemented
66#2771C2214yes—
67#2764C2214yes—
68#2762C2214yescomplemented
69#2761C2214yes—
70#2758C2214yescomplemented
71#2757C2214yescomplemented
72#2750C2214yes—
73#2744C2214yes—
74#2738C2214yes—
75#2735C2214yes—
76#2735C2214yes—
77#2698C2214yes—
78#2686C2214yes—
79#2685C2214yes—
80#2684C2214yes—
81#2652C2214yes—
82#2649C2214yes—
83#2629C2212yes—
84#2628C2212yes—
85#2625C2212yes—
86#2616C2212yes—
87#2612C2214yescomplemented
88#2612C2214yescomplemented
89#2595C2214yes—
90#2589C2214yes—
91#2587C2214yes—
92#2584C2212yescomplemented
93#2581C2212yescomplemented
94#2578C2214yes—
95#2577C2214yes—
96#2576C2214yes—
97#2576C2214yes—
98#2575C2214yes—
99#2573C2214yes—
100#2573C2214yes—
101#2571C2212yescomplemented
102#2570C2212yescomplemented
103#2570C2212yescomplemented
104#2570C2212yescomplemented
105#2570C2212yescomplemented
106#2568C2212yescomplemented
107#2563C2212yes—
108#2562C2212yes—
109#2562C2212yes—
110#2562C2212yescomplemented
111#2559C2214yes—
112#2553C2214yes—
113#2550C2212yescomplemented
114#2550C2212yescomplemented
115#2547C2212yes—
116#2547C2212yes—
117#2538C2212yes—
118#2536C2212yes—
119#2536C2212yes—
120#2536C2212yescomplemented
121#2533C2214yescomplemented
122#2533C2214yescomplemented
123#2532C2214yescomplemented
124#2532C2214yescomplemented
125#2531C2214yescomplemented
126#2530C2214yescomplemented
127#2529C2214yescomplemented
128#2528C2214yescomplemented
129#2528C2214yescomplemented
130#2527C2214yes—
131#2527C2214yes—
132#2526C2214yes—
133#2524C2214yescomplemented
134#2524C2214yescomplemented
135#2522C2214yes—
136#2518C2214yes—
137#2517C2214yes—
138#2516C2214yes—
139#2515C2214yes—
140#2514C2212yescomplemented
141#2514C2212yescomplemented
142#2511C2212yescomplemented
143#2511C2212yescomplemented
144#2509C2212yescomplemented
145#2509C2212yescomplemented
146#2508C2212yescomplemented
147#2508C2212yescomplemented
148#2508C2212yescomplemented
149#2508C2212yescomplemented
150#2507C2212yescomplemented
151#2507C2212yescomplemented
152#2499C2212yes—
153#2499C2212yescomplemented
154#2497C2212yes—
155#2497C2212yes—
156#2497C2212yes—
157#2497C2212yescomplemented
158#2496C2212yes—
159#2496C2212yes—
160#2496C2212yescomplemented
161#2496C2212yescomplemented
162#2495C2212yes—
163#2495C2212yes—
164#2495C2212yes—
165#2495C2214yescomplemented
166#2495C2212yescomplemented
167#2495C2212yescomplemented
168#2495C2212yescomplemented
169#2494C2212yes—
170#2494C2212yes—
171#2494C2212yescomplemented
172#2494C2212yescomplemented
173#2492C2212yes—
174#2492C2212yescomplemented
175#2489C2212yes—
176#2489C2212yes—
177#2489C2212yescomplemented
178#2489C2212yescomplemented
179#2487C2212yes—
180#2487C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2212yes—
186#2485C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2465C2214yes—
190#2458C2214yes—
191#2442C2212yescomplemented
192#2442C2212yescomplemented
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2439C2212yes—
198#2439C2212yes—
199#2439C2212yes—
200#2439C2212yescomplemented
201#2423C2212yes—
202#2423C2212yes—
203#2421C2212yes—
204#2421C2212yescomplemented
205#2417C2212yes—
206#2417C2212yes—
207#2415C2212yes—
208#2415C2212yes—
209#2415C2212yes—
210#2415C2212yes—
211#2373C2214yes—
212#2373C2214yescomplemented
213#2372C2214yes—
214#2370C2212yescomplemented
215#2370C2212yescomplemented
216#2370C2212yescomplemented
217#2370C2212yescomplemented
218#2369C2212yescomplemented
219#2365C2212yescomplemented
220#2365C2212yescomplemented
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yescomplemented
225#2360C2212yescomplemented
226#2360C2212yescomplemented
227#2356C2212yescomplemented
228#2356C2214yescomplemented
229#2356C2212yescomplemented
230#2356C2212yescomplemented
231#2355C2212yescomplemented
232#2355C2212yescomplemented
233#2355C2212yescomplemented
234#2354C2212yes—
235#2354C2212yes—
236#2354C2212yes—
237#2352C2212yes—
238#2352C2212yes—
239#2352C2212yes—
240#2352C2212yes—
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243#2351C2212yescomplemented
244#2347C2212yes—
245#2347C2212yes—
246#2347C2212yescomplemented
247#2346C2212yes—
248#2346C2212yes—
249#2346C2212yes—
250#2346C2212yescomplemented
251#2346C2212yescomplemented
252#2345C2212yescomplemented
253#2345C2212yescomplemented
254#2337C2214yes—
255#2334C2214yes—
256#2331C2212yescomplemented
257#2330C2212yescomplemented
258#2323C2212yes—
259#2323C2212yes—
260#2323C2212yescomplemented
261#2323C2212yescomplemented
262#2320C2212yescomplemented
263#2314C2212yes—
264#2314C2212yescomplemented
265#2311C2212yes—
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#126C2214yescomplemented
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2211yescharacteristic
280C4×#123C2211yescharacteristic
281C4×#123C2211yescharacteristic
282C4×#123C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#120C2211yescharacteristic
288C4×#120C2211yescharacteristic
289C4×#120C2211yescharacteristic
290C4×#120C2211yescharacteristic
291#2297C2211yescharacteristic
292#2296C2212yes—
293#2296C2211yescharacteristic
294#2295C2214yescomplemented
295#2290C2211yescharacteristic
296#2290C2211yescharacteristic
297#2290C2211yescharacteristic
298#2290C2211yescharacteristic
299#2285C2211yescharacteristic
300#2285C2211yescharacteristic
301#2285C2211yescharacteristic
302#2285C2211yescharacteristic
303#2285C2211yescharacteristic
304#2285C2211yescharacteristic
305#2285C2211yescharacteristic
306#2285C2211yescharacteristic, complemented
307#2285C2211yescharacteristic, complemented
308#2285C2211yescharacteristic, complemented
309C2×#384C2211yescharacteristic, complemented
310#2283C2212yes—
311#2283C2212yes—
312#2283C2212yes—
313#2283C2212yes—
314#2283C2212yes—
315#2283C2212yes—
316#2280C2212yes—
317#2280C2212yes—
318#2280C2212yes—
319#2280C2212yes—
320#2280C2211yescharacteristic
321#2276C2212yescomplemented
322#2274C2212yescomplemented
323C42×D4C2211yescharacteristic
324C42×D4C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C4×#117C2212yes—
328C4×#117C2212yes—
329C4×#117C2212yes—
330C4×#117C2211yescharacteristic
331C22×#41C2311yescharacteristic
332C24×C4C2311yescharacteristic
333C24×C4C2311yescharacteristic
334C24×C4C2311yescharacteristic
335#556—216no—
336#533—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#125C2312yes—
345C2×#125C2312yes—
346C2×#125C2312yes—
347C2×#125C2312yes—
348C2×#124C2314yes—
349#525—28no—
350C2×#123C2311yescharacteristic
351C2×#123C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#120C2311yescharacteristic
367C2×#120C2311yescharacteristic
368C4×#41—28no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2314yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C42—28no—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430#401C2314yes—
431#401C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2314yes—
514#391C2311yescharacteristic
515#390C2314yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#388C2311yescharacteristic
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2311yescharacteristic
603#388C2314yes—
604#388C2311yescharacteristic
605#388C2311yescharacteristic
606#388C2311yescharacteristic
607#388C2311yescharacteristic
608#388C2311yescharacteristic
609#388C2311yescharacteristic
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2311yescharacteristic
649#387C2314yes—
650#387C2314yes—
651#387C2311yescharacteristic
652#387C2314yes—
653#387C2314yes—
654#387C2311yescharacteristic
655#387C2311yescharacteristic
656#387C2311yescharacteristic
657#387C2311yescharacteristic
658#387C2311yescharacteristic
659#387C2311yescharacteristic
660#386C2314yes—
661#386C2314yes—
662#386C2311yescharacteristic
663#386C2311yescharacteristic
664#386C2314yes—
665#386C2311yescharacteristic
666#386C2311yescharacteristic
667#386C2314yes—
668#386C2311yescharacteristic
669#386C2311yescharacteristic
670#386C2311yescharacteristic
671#386C2311yescharacteristic
672#386C2311yescharacteristic
673#386C2311yescharacteristic
674#386C2311yescharacteristic
675#386C2311yescharacteristic
676#385C2311yescharacteristic
677#385C2314yes—
678#385C2311yescharacteristic
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2311yescharacteristic
683#385C2311yescharacteristic
684#385C2311yescharacteristic
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2311yescharacteristic
690#385C2311yescharacteristic
691#385C2311yescharacteristic
692#385C2311yescharacteristic
693#385C2311yescharacteristic
694#385C2311yescharacteristic
695#385C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2314yes—
728#382C2314yes—
729#382C2314yes—
730#382C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#381C2311yescharacteristic
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#379C2314yes—
783#379C2314yes—
784#379C2311yescharacteristic
785#379C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2314yes—
865C4×C22⋊C4C2314yes—
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2314yes—
883#376C2314yes—
884#376C2314yes—
885#376C2314yes—
886#376C2314yes—
887#376C2314yes—
888C43C2314yes—
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C25C2411yescharacteristic
892C2×#41—24no—
893C2×#41—24no—
894C2×#41—42no—
895C22×Q8C2412yes—
896C22×Q8C2412yes—
897C22×Q8C2411yescharacteristic
898C22×Q8C2414yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C23×C4—24no—
907C23×C4—24no—
908C23×C4—24no—
909C23×C4—24no—
910C23×C4—24no—
911C23×C4—42no—
912C23×C4—42no—
913C23×C4—42no—
914C23×C4—42no—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2414yes—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942C4⋊Q8—28no—
943C4⋊Q8—44no—
944C4⋊Q8—44no—
945#126—216no—
946#126—216no—
947#125—28no—
948#125—44no—
949#125—44no—
950#125—44no—
951#124—216no—
952#123—24no—
953#123—24no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—24no—
959C22⋊Q8—24no—
960C22⋊Q8—44no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966#121—24no—
967#121—24no—
968#120—24no—
969#120—24no—
970C4×Q8—216no—
971C4×Q8—24no—
972C4×Q8—24no—
973C4×Q8—28no—
974C4×Q8—28no—
975C4×Q8—28no—
976C4×Q8—44no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—42no—
993C4×D4—42no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4#4118yes—
997#117—24no—
998#117—28no—
999#117—28no—
1000#117—28no—
1001#117—28no—
1002#117—24no—
1003#117—24no—
1004#117—24no—
1005#117—42no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009#117—44no—
1010#117—44no—
1011#117—44no—
1012#117—44no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42—24no—
1142C2×C42—24no—
1143C2×C42—24no—
1144C2×C42—24no—
1145C2×C42—24no—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42—24no—
1152C2×C42#4118yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2414yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2414yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2414yes—
1206#95C2414yes—
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284C24—22no—
1285C24—22no—
1286C24—22no—
1287C24—41no—
1288C24—41no—
1289C24—41no—
1290C24—41no—
1291C24C2511yescharacteristic
1292C24C2511yescharacteristic
1293C24C2511yescharacteristic
1294C24C2511yescharacteristic
1295C24C2511yescharacteristic
1296#41—416no—
1297C2×Q8—22no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—28no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—41no—
1307C2×Q8—44no—
1308C2×Q8—44no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4C2×#4114yes—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—416no—
1397C22×C4—416no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—416no—
1402C22×C4C2×#4114yes—
1403C22×C4C2×#4114yes—
1404C22×C4C2×#4114yes—
1405C22×C4C2×#4114yes—
1406C22×C4C2×#4114yes—
1407C22×C42−1+414yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2514yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2514yes—
1422C22×C4C2514yes—
1423C22×C4C2514yes—
1424C22×C4C2514yes—
1425C22×C4C2514yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2514yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—41no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4C2×#4114yes—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—41no—
1537C22⋊C4—41no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4C2×#4114yes—
1564C22⋊C4C2×#4114yes—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—28no—
1585C42—28no—
1586C42—28no—
1587C42—28no—
1588C42—28no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—44no—
1600C42—44no—
1601C42—44no—
1602C42—44no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42C2×#4114yes—
1610C42C2×#4114yes—
1611C42C2×#4114yes—
1612C42C2×#4114yes—
1613C42C2×#4114yes—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—44no—
1646C23—44no—
1647C23—44no—
1648C23—44no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23C22×#4112yes—
1653C23C22×#4112yes—
1654C23C22×#4112yes—
1655C23C2×2−1+412yes—
1656C23C2611yescharacteristic
1657Q8—44no—
1658Q8—48no—
1659Q8—48no—
1660Q8—88no—
1661D4—44no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—28no—
1685C2×C4—28no—
1686C2×C4—28no—
1687C2×C4—28no—
1688C2×C4—28no—
1689C2×C4—28no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—24no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—24no—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—164no—
1778C2×C4C22×#4112yes—
1779C2×C4C22×#4112yes—
1780C2×C4C22×#4112yes—
1781C2×C4C22×#4112yes—
1782C2×C4C22×#4112yes—
1783C2×C4C22×#4112yes—
1784C2×C4C22×#4112yes—
1785C2×C4C22×#4112yes—
1786C2×C4C22×#4112yes—
1787C2×C4C22×#4112yes—
1788C2×C4C22×#4112yes—
1789C2×C4C2×2−1+412yes—
1790C2×C4C2×2−1+412yes—
1791C2×C4#58512yes—
1792C2×C4#58512yes—
1793C2×C4#58512yes—
1794C2×C4#58512yes—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—416no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22C23×#4111yescharacteristic
1832C22C23×#4111yescharacteristic
1833C22C22×2−1+411yescharacteristic
1834C22C2×#58511yescharacteristic
1835C22C2×#58511yescharacteristic
1836C22C2×#58511yescharacteristic
1837C22C2×#58511yescharacteristic
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—44no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—44no—
1855C4—41no—
1856C4—41no—
1857C4—44no—
1858C4—44no—
1859C4—41no—
1860C4—41no—
1861C4—44no—
1862C4—41no—
1863C4—41no—
1864C4—44no—
1865C4—44no—
1866C4—41no—
1867C4—41no—
1868C4—44no—
1869C4#347514yes—
1870C4#349314yes—
1871C4#349514yes—
1872C2—42no—
1873C2—42no—
1874C2—42no—
1875C2—42no—
1876C2—81no—
1877C2C2×#347511yescharacteristic
1878C2C2×#349311yescharacteristic
1879C2C2×#349511yescharacteristic
1880C2#6280511yescharacteristic
1881C2#6281511yescharacteristic
1882C2#6283811yescharacteristic
1883C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59299C2semidirect
2. #59297C2semidirect
3. #59261C2semidirect
4. #59251C2semidirect
5. #59231C2semidirect
6. #59221C2semidirect
7. #59202C2semidirect
8. #59200C2semidirect
9. #39932C2semidirect
10. #39928C2semidirect
11. #39908C2semidirect
12. #39904C2semidirect
13. #37985C2semidirect
14. #37973C2semidirect
15. #37856C2semidirect
17. #36625C2semidirect
18. #36514C2semidirect
19. #36451C2semidirect
20. #36310C2semidirect
21. #36284C2semidirect
22. #36210C2semidirect
23. #36210C2semidirect
24. #36209C2semidirect
25. #36209C2semidirect
26. #36194C2semidirect
27. #36189C2semidirect
28. #36189C2semidirect
29. #36188C2semidirect
30. #35655C2semidirect
31. #35647C2semidirect
32. #35297C2semidirect
33. #35294C2semidirect
34. #35163C2semidirect
35. #34307C2semidirect
36. #34225C2semidirect
37. #34188C2semidirect
39. #34012C2semidirect
45. #2868C22semidirect
46. #2866C22semidirect
47. #2864C22semidirect
48. #2859C22semidirect
49. #2859C22semidirect
50. #2859C22semidirect
55. #2857C22semidirect
56. #2857C22semidirect
57. #2857C22semidirect
58. #2857C22semidirect
65. #2776C22semidirect
68. #2762C22semidirect
70. #2758C22semidirect
71. #2757C22semidirect
87. #2612C22semidirect
88. #2612C22semidirect
92. #2584C22semidirect
93. #2581C22semidirect
101. #2571C22semidirect
102. #2570C22semidirect
103. #2570C22semidirect
104. #2570C22semidirect
105. #2570C22semidirect
106. #2568C22semidirect
110. #2562C22semidirect
113. #2550C22semidirect
114. #2550C22semidirect
120. #2536C22semidirect
121. #2533C22semidirect
122. #2533C22semidirect
123. #2532C22semidirect
124. #2532C22semidirect
125. #2531C22semidirect
126. #2530C22semidirect
127. #2529C22semidirect
128. #2528C22semidirect
129. #2528C22semidirect
133. #2524C22semidirect
134. #2524C22semidirect
140. #2514C22semidirect
141. #2514C22semidirect
142. #2511C22semidirect
143. #2511C22semidirect
144. #2509C22semidirect
145. #2509C22semidirect
146. #2508C22semidirect
147. #2508C22semidirect
148. #2508C22semidirect
149. #2508C22semidirect
150. #2507C22semidirect
151. #2507C22semidirect
153. #2499C22semidirect
157. #2497C22semidirect
160. #2496C22semidirect
161. #2496C22semidirect
165. #2495C22semidirect
166. #2495C22semidirect
167. #2495C22semidirect
168. #2495C22semidirect
171. #2494C22semidirect
172. #2494C22semidirect
174. #2492C22semidirect
177. #2489C22semidirect
178. #2489C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
200. #2439C22semidirect
204. #2421C22semidirect
212. #2373C22semidirect
214. #2370C22semidirect
215. #2370C22semidirect
216. #2370C22semidirect
217. #2370C22semidirect
218. #2369C22semidirect
219. #2365C22semidirect
220. #2365C22semidirect
224. #2362C22semidirect
225. #2360C22semidirect
226. #2360C22semidirect
227. #2356C22semidirect
228. #2356C22semidirect
229. #2356C22semidirect
230. #2356C22semidirect
231. #2355C22semidirect
232. #2355C22semidirect
233. #2355C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. #2351C22semidirect
246. #2347C22semidirect
250. #2346C22semidirect
251. #2346C22semidirect
252. #2345C22semidirect
253. #2345C22semidirect
256. #2331C22semidirect
257. #2330C22semidirect
260. #2323C22semidirect
261. #2323C22semidirect
262. #2320C22semidirect
264. #2314C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×#126C22semidirect
294. #2295C22semidirect
306. #2285C22semidirect
307. #2285C22semidirect
308. #2285C22semidirect
309. C2×#384C22semidirect
321. #2276C22semidirect
322. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#592992
#592972
#592612
#592512
#592312
#592212
#592022
#592002
#399322
#399282
#399082
#399042
#379852
#379732
#378562
#378442
#366252
#365142
#364512
#363102
#362842
#362102
#362092
#361942
#361892
#361882
#356552
#356472
#352972
#352942
#351632
#343072
#342252
#341882
C4×#5252
#340122