Finite Group Databasebeta

← #7682461

Subgroups — #7682461

Order 512.

4632 conjugacy classes of subgroups.

The subgroup lattice has 2069 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59955C212yesmaximal, complemented
2#59866C211yesmaximal, characteristic, complemented
3#59825C211yesmaximal, characteristic
4#59784C212yesmaximal, complemented
5#59742C212yesmaximal, complemented
6#59704C212yesmaximal, complemented
7#59631C212yesmaximal, complemented
8#59616C212yesmaximal, complemented
9#59512C212yesmaximal, complemented
10#59505C212yesmaximal, complemented
11#59387C212yesmaximal, complemented
12#59338C212yesmaximal, complemented
13#59314C211yesmaximal, characteristic, complemented
14#59302C211yesmaximal, characteristic, complemented
15#44705C212yesmaximal, complemented
16#44672C212yesmaximal, complemented
17#44425C212yesmaximal, complemented
18#44197C212yesmaximal, complemented
19#43863C212yesmaximal, complemented
20#43852C212yesmaximal, complemented
21#43808C212yesmaximal, complemented
22#43799C212yesmaximal, complemented
23#43513C212yesmaximal, complemented
24#43498C212yesmaximal, complemented
25#43058C212yesmaximal, complemented
26#43027C212yesmaximal, complemented
27#35459C212yesmaximal, complemented
28#35399C212yesmaximal, complemented
29#35388C212yesmaximal, complemented
30#34960C212yesmaximal, complemented
31C2×#2570C211yesmaximal, characteristic, complemented
32#34333C212yesmaximal, complemented
33#34325C212yesmaximal, complemented
34#34278C211yesmaximal, characteristic, complemented
35#34278C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#539C2211yescharacteristic
39C2×#539C2211yescharacteristic
40#2809C2211yescharacteristic
41#2806C2211yescharacteristic
42#2805C2211yescharacteristic
43#2793C2212yes—
44#2793C2212yes—
45#2793C2212yes—
46#2791C2212yes—
47#2789C2212yes—
48#2788C2212yes—
49#2787C2212yes—
50#2781C2212yes—
51#2777C2212yes—
52#2776C2212yes—
53#2776C2212yes—
54#2776C2212yes—
55#2776C2212yes—
56#2775C2212yes—
57#2771C2212yes—
58#2771C2212yes—
59#2771C2212yes—
60#2767C2212yes—
61#2767C2212yes—
62#2767C2212yes—
63#2767C2212yes—
64#2765C2212yes—
65#2747C2212yes—
66#2747C2212yes—
67#2728C2212yes—
68#2728C2212yes—
69#2727C2211yescharacteristic
70#2726C2212yes—
71#2726C2211yescharacteristic
72#2726C2211yescharacteristic
73#2725C2212yes—
74#2724C2212yes—
75#2724C2211yescharacteristic
76#2722C2212yes—
77#2720C2212yes—
78#2720C2212yes—
79#2719C2212yes—
80#2719C2212yes—
81#2716C2212yes—
82#2716C2212yes—
83#2716C2212yes—
84#2702C2212yes—
85#2701C2212yes—
86#2698C2212yes—
87#2696C2212yes—
88#2696C2212yes—
89#2695C2212yes—
90#2682C2211yescharacteristic
91#2680C2212yes—
92#2612C2212yes—
93#2612C2212yes—
94#2612C2212yes—
95#2609C2212yes—
96#2608C2212yes—
97#2606C2212yes—
98#2605C2212yes—
99#2604C2212yes—
100#2599C2212yes—
101#2596C2212yes—
102#2596C2212yes—
103#2595C2212yes—
104#2594C2212yes—
105#2594C2212yes—
106#2590C2212yes—
107#2590C2212yes—
108#2590C2212yes—
109#2588C2212yes—
110#2588C2212yes—
111#2587C2212yes—
112#2585C2212yes—
113#2585C2212yes—
114#2585C2212yes—
115#2585C2212yes—
116#2583C2212yes—
117#2579C2212yes—
118#2578C2212yes—
119#2577C2212yes—
120#2576C2212yes—
121#2575C2212yes—
122#2575C2212yes—
123#2575C2212yes—
124#2575C2212yes—
125#2575C2212yes—
126#2575C2212yes—
127#2574C2212yes—
128#2574C2212yes—
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2570C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2570C2212yes—
137#2570C2212yes—
138#2570C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2569C2212yes—
142#2569C2212yes—
143#2560C2212yes—
144#2558C2212yes—
145#2558C2212yes—
146#2558C2212yes—
147#2553C2212yes—
148#2553C2212yes—
149#2553C2212yes—
150#2553C2212yes—
151#2551C2211yescharacteristic
152#2543C2212yes—
153#2542C2212yes—
154#2538C2211yescharacteristic
155#2538C2211yescharacteristic
156#2533C2212yes—
157#2533C2212yes—
158#2533C2212yes—
159#2533C2212yes—
160#2533C2212yes—
161#2531C2212yes—
162#2530C2212yes—
163#2530C2212yes—
164#2529C2212yes—
165#2529C2212yes—
166#2528C2212yes—
167#2528C2212yes—
168#2528C2212yes—
169#2525C2212yes—
170#2524C2212yes—
171#2524C2212yes—
172#2524C2212yes—
173#2524C2212yes—
174#2520C2212yes—
175#2520C2212yes—
176#2519C2212yes—
177#2519C2212yes—
178#2519C2212yes—
179#2519C2212yes—
180#2518C2212yes—
181#2517C2212yes—
182#2517C2212yes—
183#2517C2212yes—
184#2516C2212yes—
185#2515C2212yes—
186#2512C2212yes—
187#2510C2212yes—
188#2510C2212yes—
189#2508C2212yes—
190#2506C2212yes—
191#2506C2212yes—
192#2505C2212yes—
193#2505C2212yes—
194#2505C2212yes—
195#2504C2212yes—
196#2499C2212yes—
197#2497C2212yes—
198#2496C2212yes—
199#2493C2212yes—
200#2493C2212yes—
201#2493C2212yes—
202#2493C2212yes—
203#2489C2212yes—
204#2489C2212yes—
205#2489C2212yes—
206#2489C2212yes—
207#2488C2212yes—
208#2488C2212yes—
209#2488C2212yes—
210#2488C2212yes—
211#2487C2212yes—
212#2486C2212yes—
213#2481C2212yes—
214#2481C2212yes—
215#2481C2212yes—
216#2481C2212yes—
217#2481C2212yes—
218#2478C2212yes—
219#2478C2212yes—
220#2478C2212yes—
221#2478C2212yes—
222#2475C2212yes—
223#2473C2212yes—
224#2473C2212yes—
225#2471C2212yes—
226#2470C2212yes—
227#2468C2212yes—
228#2467C2212yes—
229#2465C2212yes—
230#2462C2212yes—
231#2455C2212yes—
232#2453C2212yes—
233#2450C2212yes—
234#2450C2212yes—
235#2449C2212yes—
236#2449C2212yes—
237#2449C2212yes—
238#2446C2212yes—
239#2446C2212yes—
240#2444C2212yes—
241#2443C2212yes—
242#2443C2212yes—
243#2443C2212yes—
244#2441C2212yes—
245#2440C2212yes—
246#2440C2212yes—
247#2439C2212yes—
248#2438C2212yes—
249#2438C2212yes—
250#2425C2212yes—
251#2425C2212yes—
252#2425C2212yes—
253#2425C2212yes—
254#2423C2212yes—
255#2421C2212yes—
256#2421C2212yes—
257#2419C2212yes—
258#2419C2212yes—
259#2419C2212yes—
260#2417C2212yes—
261#2413C2212yes—
262#2402C2212yes—
263#2401C2212yes—
264#2396C2212yes—
265#2395C2212yes—
266C2×#400C2212yes—
267C2×#398C2212yes—
268#2374C2212yes—
269#2374C2212yes—
270#2374C2212yes—
271#2373C2212yes—
272#2373C2212yes—
273#2373C2212yes—
274#2373C2212yes—
275#2373C2212yes—
276#2373C2212yes—
277#2373C2212yes—
278#2371C2212yes—
279#2371C2212yes—
280#2371C2212yes—
281#2370C2212yes—
282#2370C2212yes—
283#2370C2212yes—
284#2370C2212yes—
285#2370C2212yes—
286#2368C2212yes—
287#2368C2212yes—
288#2368C2212yes—
289#2368C2212yes—
290#2368C2212yes—
291#2368C2212yes—
292#2365C2212yes—
293#2364C2212yes—
294#2364C2212yes—
295#2364C2212yes—
296#2362C2212yes—
297#2362C2212yes—
298#2361C2212yes—
299#2360C2212yes—
300#2360C2212yes—
301#2360C2212yes—
302#2359C2212yes—
303#2359C2212yes—
304#2359C2212yes—
305#2359C2212yes—
306#2355C2212yes—
307#2355C2211yescharacteristic
308#2354C2211yescharacteristic
309#2353C2212yes—
310#2353C2212yes—
311#2353C2212yes—
312#2352C2212yes—
313Q8×C4⋊C4C2211yescharacteristic
314#2349C2212yes—
315#2349C2212yes—
316D4×C4⋊C4C2212yes—
317D4×C4⋊C4C2211yescharacteristic
318#2346C2212yes—
319#2345C2212yes—
320#2345C2212yes—
321#2345C2212yes—
322#2343C2212yes—
323#2343C2212yes—
324#2336C2212yes—
325#2335C2212yes—
326#2334C2212yes—
327#2333C2212yes—
328#2331C2212yes—
329#2330C2212yes—
330#2329C2212yes—
331#2329C2211yescharacteristic
332#2329C2212yes—
333#2329C2212yes—
334#2329C2211yescharacteristic
335#2325C2211yescharacteristic
336#2325C2212yes—
337#2325C2211yescharacteristic
338#2322C2212yes—
339#2322C2212yes—
340#2318C2212yes—
341#2313C2211yescharacteristic
342#2313C2211yescharacteristic
343C4×#125C2212yes—
344C4×#125C2212yes—
345C4×#126C2212yes—
346C4×#126C2212yes—
347C4×C22⋊Q8C2212yes—
348C4×C22⋊Q8C2212yes—
349C4×C22⋊Q8C2212yes—
350C4×C22⋊Q8C2211yescharacteristic
351C4×C22⋊Q8C2211yescharacteristic
352C4×#123C2212yes—
353C4×#123C2212yes—
354C4×#123C2212yes—
355C4×#123C2212yes—
356C4×#121C2212yes—
357C4×#121C2211yescharacteristic
358C4×#121C2211yescharacteristic
359#2298C2212yes—
360#2295C2212yes—
361C2×#389C2211yescharacteristic
362C2×#389C2211yescharacteristic
363#2290C2212yes—
364#2290C2212yes—
365#2290C2212yes—
366#2290C2212yes—
367C2×#387C2212yes—
368C2×#387C2212yes—
369C2×#387C2212yes—
370C2×#384C2211yescharacteristic
371C2×#382C2211yescharacteristic
372C2×#382C2211yescharacteristic
373#2275C2212yes—
374#2275C2212yes—
375#2275C2212yes—
376C42×D4C2212yes—
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379#554—216no—
380#553—216no—
381#539—28no—
382#539—28no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465C22×C42C2312yes—
466C22×C42C2312yes—
467#401C2312yes—
468#401C2312yes—
469#401C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
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#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
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#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
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#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#393C2312yes—
607#393C2312yes—
608#393C2312yes—
609#393C2312yes—
610#392C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2311yescharacteristic
627#391C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2311yescharacteristic
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#389C2312yes—
688#389C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#387C2312yes—
743#387C2312yes—
744#387C2312yes—
745#387C2312yes—
746#387C2312yes—
747#387C2312yes—
748#387C2312yes—
749#387C2312yes—
750#387C2312yes—
751#387C2312yes—
752#387C2312yes—
753#387C2312yes—
754#387C2312yes—
755#387C2312yes—
756#387C2312yes—
757#387C2312yes—
758#387C2312yes—
759#387C2312yes—
760#387C2312yes—
761#387C2312yes—
762#387C2312yes—
763#387C2312yes—
764#387C2312yes—
765#387C2312yes—
766#387C2312yes—
767#387C2312yes—
768#387C2312yes—
769#387C2312yes—
770#387C2312yes—
771#387C2312yes—
772#387C2312yes—
773#387C2312yes—
774#387C2312yes—
775#387C2312yes—
776#387C2312yes—
777#387C2312yes—
778#387C2312yes—
779#387C2312yes—
780#387C2312yes—
781#387C2312yes—
782#387C2312yes—
783#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
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#386C2312yes—
866#386C2312yes—
867#386C2312yes—
868#386C2312yes—
869#386C2312yes—
870#386C2312yes—
871#386C2312yes—
872#386C2312yes—
873#386C2312yes—
874#386C2312yes—
875#386C2312yes—
876#386C2312yes—
877#386C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2312yes—
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#385C2312yes—
891#385C2312yes—
892#385C2312yes—
893#385C2312yes—
894#385C2312yes—
895#385C2312yes—
896#385C2312yes—
897#385C2312yes—
898#385C2312yes—
899#385C2312yes—
900#385C2312yes—
901#385C2312yes—
902#385C2312yes—
903#385C2312yes—
904#385C2312yes—
905#385C2312yes—
906#385C2312yes—
907#385C2312yes—
908#385C2312yes—
909#385C2312yes—
910#385C2312yes—
911#385C2312yes—
912#385C2312yes—
913#385C2312yes—
914#385C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#384C2312yes—
930#384C2311yescharacteristic
931#384C2311yescharacteristic
932#384C2312yes—
933#384C2311yescharacteristic
934#384C2312yes—
935#384C2311yescharacteristic
936#384C2312yes—
937#383C2312yes—
938#383C2312yes—
939#383C2312yes—
940#383C2312yes—
941#383C2312yes—
942#383C2312yes—
943#382C2312yes—
944#382C2312yes—
945#382C2312yes—
946#382C2312yes—
947#382C2312yes—
948#382C2312yes—
949#382C2312yes—
950#382C2312yes—
951#382C2312yes—
952#382C2312yes—
953#382C2312yes—
954#382C2312yes—
955#382C2312yes—
956#382C2312yes—
957#382C2312yes—
958#382C2312yes—
959#382C2312yes—
960#382C2312yes—
961#381C2312yes—
962#381C2312yes—
963#381C2312yes—
964#381C2312yes—
965#381C2312yes—
966#381C2312yes—
967#381C2312yes—
968#381C2312yes—
969#380C2311yescharacteristic
970#380C2311yescharacteristic
971#380C2311yescharacteristic
972#380C2311yescharacteristic
973#380C2312yes—
974#380C2312yes—
975#380C2312yes—
976#380C2312yes—
977#380C2312yes—
978#380C2312yes—
979#380C2312yes—
980#380C2312yes—
981#380C2312yes—
982#380C2312yes—
983#380C2312yes—
984#380C2312yes—
985#380C2312yes—
986#380C2312yes—
987#380C2312yes—
988#380C2312yes—
989C4×C4⋊C4C2312yes—
990C4×C4⋊C4C2312yes—
991C4×C4⋊C4C2312yes—
992C4×C4⋊C4C2312yes—
993C4×C4⋊C4C2312yes—
994C4×C4⋊C4C2312yes—
995C4×C4⋊C4C2312yes—
996C4×C4⋊C4C2312yes—
997C4×C4⋊C4C2312yes—
998C4×C4⋊C4C2312yes—
999C4×C4⋊C4C2312yes—
1000C4×C4⋊C4C2312yes—
1001C4×C4⋊C4C2312yes—
1002C4×C4⋊C4C2312yes—
1003C4×C4⋊C4C2312yes—
1004C4×C4⋊C4C2312yes—
1005C4×C4⋊C4C2312yes—
1006C4×C4⋊C4C2312yes—
1007C4×C4⋊C4C2312yes—
1008C4×C4⋊C4C2312yes—
1009C4×C4⋊C4C2312yes—
1010C4×C4⋊C4C2312yes—
1011C4×C4⋊C4C2312yes—
1012C4×C4⋊C4C2312yes—
1013C4×C4⋊C4C2312yes—
1014C4×C4⋊C4C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2312yes—
1017C4×C4⋊C4C2311yescharacteristic
1018C4×C4⋊C4C2311yescharacteristic
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2311yescharacteristic
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2311yescharacteristic
1039C4×C4⋊C4C2312yes—
1040C4×C22⋊C4C2312yes—
1041C4×C22⋊C4C2312yes—
1042C4×C22⋊C4C2312yes—
1043C4×C22⋊C4C2312yes—
1044C4×C22⋊C4C2312yes—
1045C4×C22⋊C4C2312yes—
1046C4×C22⋊C4C2312yes—
1047C4×C22⋊C4C2312yes—
1048C4×C22⋊C4C2312yes—
1049C4×C22⋊C4C2312yes—
1050C4×C22⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079#376C2312yes—
1080#376C2312yes—
1081#376C2312yes—
1082#376C2312yes—
1083#376C2312yes—
1084#376C2312yes—
1085#376C2312yes—
1086#376C2312yes—
1087C2×#95C2312yes—
1088C2×#95C2312yes—
1089C2×#95C2312yes—
1090C2×#95C2311yescharacteristic
1091C2×#95C2311yescharacteristic
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C43C2312yes—
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2411yescharacteristic
1111C22×D4C2411yescharacteristic
1112C23×C4C2411yescharacteristic
1113C23×C4C2411yescharacteristic
1114C23×C4C2412yes—
1115C23×C4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C4⋊Q8—28no—
1134C4⋊Q8—82no—
1135#126—28no—
1136#126—28no—
1137#126—28no—
1138#126—28no—
1139#126—44no—
1140#126—44no—
1141#126—82no—
1142#125—28no—
1143#125—28no—
1144#125—28no—
1145#125—28no—
1146#125—28no—
1147#125—44no—
1148#125—44no—
1149#123—28no—
1150#123—28no—
1151#123—28no—
1152#123—28no—
1153#123—28no—
1154#123—28no—
1155#123—44no—
1156#123—44no—
1157#123—82no—
1158C22⋊Q8—28no—
1159C22⋊Q8—28no—
1160C22⋊Q8—24no—
1161C22⋊Q8—28no—
1162C22⋊Q8—28no—
1163C22⋊Q8—28no—
1164C22⋊Q8—28no—
1165C22⋊Q8—28no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—82no—
1169C22⋊Q8#4118yes—
1170#121—28no—
1171#121—28no—
1172#121—28no—
1173#121—24no—
1174#121#4118yes—
1175C4×Q8—28no—
1176C4×Q8—42no—
1177C4×Q8—42no—
1178C4×Q8—82no—
1179C4×Q8—82no—
1180C4×D4—28no—
1181C4×D4—28no—
1182C4×D4—28no—
1183C4×D4—28no—
1184C4×D4—28no—
1185C4×D4—28no—
1186C4×D4—28no—
1187C4×D4—28no—
1188C4×D4—28no—
1189C4×D4—28no—
1190C4×D4—28no—
1191C4×D4—42no—
1192C4×D4—42no—
1193C4×D4—82no—
1194C4×D4—82no—
1195#117—28no—
1196#117—44no—
1197#117—44no—
1198#117—82no—
1199#117—82no—
1200C2×C4⋊C4—24no—
1201C2×C4⋊C4—24no—
1202C2×C4⋊C4—28no—
1203C2×C4⋊C4—28no—
1204C2×C4⋊C4—28no—
1205C2×C4⋊C4—42no—
1206C2×C4⋊C4—42no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—82no—
1210C2×C4⋊C4—82no—
1211C2×C4⋊C4—82no—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2411yescharacteristic
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C42—24no—
1363C2×C42—42no—
1364C2×C42—42no—
1365C2×C42—82no—
1366C2×C42—82no—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2411yescharacteristic
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2411yescharacteristic
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2411yescharacteristic
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
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#95C2412yes—
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#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529C24C2512yes—
1530C24C2512yes—
1531C24C2511yescharacteristic
1532C2×Q8—22no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8C2×#4114yes—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—24no—
1547C2×D4—24no—
1548C2×D4—24no—
1549C2×D4—24no—
1550C2×D4—24no—
1551C2×D4—22no—
1552C2×D4—41no—
1553C2×D4—41no—
1554C2×D4—41no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—41no—
1559C2×D4—42no—
1560C2×D4C2×#4118yes—
1561C2×D4C2×#4114yes—
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—22no—
1567C22×C4—22no—
1568C22×C4—22no—
1569C22×C4—22no—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—24no—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—24no—
1583C22×C4—24no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—41no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—41no—
1622C22×C4C2×#4114yes—
1623C22×C4C2×#4114yes—
1624C22×C42−1+414yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2511yescharacteristic
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2512yes—
1652C22×C4C2511yescharacteristic
1653C22×C4C2511yescharacteristic
1654C22×C4C2512yes—
1655C22×C4C2511yescharacteristic
1656C22×C4C2511yescharacteristic
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—22no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—22no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—22no—
1697C4⋊C4—24no—
1698C4⋊C4—22no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—41no—
1704C4⋊C4—41no—
1705C4⋊C4—41no—
1706C4⋊C4—41no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
1709C4⋊C4—41no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—41no—
1722C4⋊C4—42no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—41no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
1734C4⋊C4—41no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—41no—
1754C4⋊C4C2×#4114yes—
1755C4⋊C4C2×#4114yes—
1756C4⋊C4C2×#4118yes—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4C2×#4118yes—
1806C22⋊C4C2×#4118yes—
1807C42—24no—
1808C42—24no—
1809C42—24no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—24no—
1817C42—24no—
1818C42—24no—
1819C42—24no—
1820C42—22no—
1821C42—22no—
1822C42—41no—
1823C42—41no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C23—21no—
1850C23—21no—
1851C23—21no—
1852C23—21no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23C22×#4114yes—
1867C23C22×#4112yes—
1868C23C22×#4112yes—
1869C23C2×2−1+412yes—
1870C23C2611yescharacteristic
1871Q8—44no—
1872Q8—82no—
1873Q8—84no—
1874Q8—84no—
1875D4—216no—
1876D4—44no—
1877D4—48no—
1878D4—82no—
1879D4—84no—
1880D4—84no—
1881C2×C4—28no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—44no—
1969C2×C4—44no—
1970C2×C4—44no—
1971C2×C4—44no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—84no—
1975C2×C4—84no—
1976C2×C4—84no—
1977C2×C4—84no—
1978C2×C4—84no—
1979C2×C4—82no—
1980C2×C4—82no—
1981C2×C4—84no—
1982C2×C4—84no—
1983C2×C4—84no—
1984C2×C4—84no—
1985C2×C4—84no—
1986C2×C4—84no—
1987C2×C4—84no—
1988C2×C4C22×#4114yes—
1989C2×C4C22×#4114yes—
1990C2×C4C22×#4112yes—
1991C2×C4C22×#4112yes—
1992C2×C4C22×#4114yes—
1993C2×C4C22×#4112yes—
1994C2×C4C22×#4112yes—
1995C2×C4C2×2−1+414yes—
1996C2×C4#58512yes—
1997C2×C4#58512yes—
1998C22—22no—
1999C22—22no—
2000C22—22no—
2001C22—22no—
2002C22—22no—
2003C22—22no—
2004C22—24no—
2005C22—24no—
2006C22—24no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22#348214yes—
2019C22C23×#4111yescharacteristic
2020C22C23×#4111yescharacteristic
2021C22C22×2−1+411yescharacteristic
2022C22C2×#58511yescharacteristic
2023C22C2×#58511yescharacteristic
2024C22H(7,𝔽2)11yescharacteristic
2025C222−1+611yescharacteristic
2026C4—22no—
2027C4—22no—
2028C4—24no—
2029C4—22no—
2030C4—22no—
2031C4—24no—
2032C4—22no—
2033C4—22no—
2034C4—24no—
2035C4—24no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C2—24no—
2059C2—44no—
2060C2—82no—
2061C2C2×#348211yescharacteristic
2062C2#6282511yescharacteristic
2063C2#6286511yescharacteristic
2064C2#6299111yescharacteristic
2065C2#6299211yescharacteristic
2066C2#6300911yescharacteristic
2067C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59825C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59955C2semidirect
2. #59866C2semidirect
4. #59784C2semidirect
5. #59742C2semidirect
6. #59704C2semidirect
7. #59631C2semidirect
8. #59616C2semidirect
9. #59512C2semidirect
10. #59505C2semidirect
11. #59387C2semidirect
12. #59338C2semidirect
13. #59314C2semidirect
14. #59302C2semidirect
15. #44705C2semidirect
16. #44672C2semidirect
17. #44425C2semidirect
18. #44197C2semidirect
19. #43863C2semidirect
20. #43852C2semidirect
21. #43808C2semidirect
22. #43799C2semidirect
23. #43513C2semidirect
24. #43498C2semidirect
25. #43058C2semidirect
26. #43027C2semidirect
27. #35459C2semidirect
28. #35399C2semidirect
29. #35388C2semidirect
30. #34960C2semidirect
31. C2×#2570C2semidirect
32. #34333C2semidirect
33. #34325C2semidirect
34. #34278C2semidirect
35. #34278C2semidirect

Maximal subgroups

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

subgroupindex
#599552
#598662
#598252
#597842
#597422
#597042
#596312
#596162
#595122
#595052
#593872
#593382
#593142
#593022
#447052
#446722
#444252
#441972
#438632
#438522
#438082
#437992
#435132
#434982
#430582
#430272
#354592
#353992
#353882
#349602
C2×#25702
#343332
#343252
#342782