Finite Group Databasebeta

← #7671037

Subgroups — #7671037

Order 512.

4800 conjugacy classes of subgroups.

The subgroup lattice has 2173 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59983C212yesmaximal, complemented
2#59981C212yesmaximal, complemented
3#59954C212yesmaximal, complemented
4#59941C212yesmaximal, complemented
5#59928C211yesmaximal, characteristic, complemented
6#59927C211yesmaximal, characteristic, complemented
7#59880C211yesmaximal, characteristic, complemented
8#59879C211yesmaximal, characteristic, complemented
9#59493C212yesmaximal, complemented
10#59471C212yesmaximal, complemented
11#38690C212yesmaximal, complemented
12#38680C212yesmaximal, complemented
13#38658C212yesmaximal, complemented
14#38649C212yesmaximal, complemented
15#38492C211yesmaximal, characteristic, complemented
16#38484C211yesmaximal, characteristic, complemented
17#38472C211yesmaximal, characteristic, complemented
18#38465C211yesmaximal, characteristic, complemented
19#38454C211yesmaximal, characteristic, complemented
20#38444C211yesmaximal, characteristic, complemented
21#38434C211yesmaximal, characteristic, complemented
22#38425C211yesmaximal, characteristic
23#36638C211yesmaximal, characteristic, complemented
24#36397C212yesmaximal, complemented
25#36358C212yesmaximal, complemented
26#36352C212yesmaximal, complemented
27#36350C212yesmaximal, complemented
28#36343C212yesmaximal, complemented
29#36282C212yesmaximal, complemented
30#36232C212yesmaximal, complemented
31#36217C212yesmaximal, complemented
32#35507C212yesmaximal, complemented
33#35503C212yesmaximal, complemented
34#35124C212yesmaximal, complemented
35#35059C212yesmaximal, complemented
36#34298C212yesmaximal, complemented
37#34297C212yesmaximal, complemented
38#34026C211yesmaximal, characteristic, complemented
39C2×#2295C211yesmaximal, characteristic, complemented
40C2×#552C2212yes—
41C2×#547C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2866C2212yes—
45#2865C2212yes—
46#2865C2212yes—
47#2864C2211yescharacteristic
48#2863C2211yescharacteristic
49#2863C2212yes—
50#2861C2211yescharacteristic
51#2860C2211yescharacteristic
52#2855C2212yes—
53#2855C2211yescharacteristic
54#2855C2212yes—
55#2854C2211yescharacteristic
56#2853C2212yes—
57#2853C2212yes—
58#2853C2212yes—
59#2852C2212yes—
60#2852C2212yes—
61#2851C2211yescharacteristic
62#2851C2212yes—
63#2850C2211yescharacteristic
64#2811C2211yescharacteristic
65#2810C2211yescharacteristic
66#2809C2211yescharacteristic
67#2809C2211yescharacteristic
68#2808C2211yescharacteristic
69#2806C2211yescharacteristic
70#2805C2211yescharacteristic
71#2805C2211yescharacteristic
72#2804C2211yescharacteristic
73#2802C2212yes—
74#2799C2212yes—
75#2799C2212yes—
76#2798C2212yes—
77#2794C2212yes—
78#2787C2212yes—
79#2776C2212yes—
80#2774C2212yes—
81#2773C2212yes—
82#2766C2212yes—
83#2754C2212yes—
84#2747C2212yes—
85#2746C2212yes—
86#2745C2212yes—
87#2745C2212yes—
88#2744C2212yes—
89#2739C2212yes—
90#2737C2212yes—
91#2734C2211yescharacteristic
92#2732C2211yescharacteristic
93#2732C2211yescharacteristic
94#2732C2211yescharacteristic
95#2729C2212yes—
96#2728C2212yes—
97#2726C2211yescharacteristic
98#2724C2211yescharacteristic
99#2707C2212yes—
100#2701C2212yes—
101#2692C2212yes—
102#2689C2212yes—
103#2682C2211yescharacteristic
104#2666C2212yes—
105#2665C2212yes—
106#2664C2212yes—
107#2663C2212yes—
108#2655C2212yes—
109#2655C2212yes—
110#2654C2212yes—
111#2650C2212yes—
112#2612C2212yes—
113#2612C2212yes—
114#2612C2212yes—
115#2611C2212yes—
116#2611C2212yes—
117#2611C2212yes—
118#2610C2212yes—
119#2607C2212yes—
120#2606C2212yes—
121#2605C2212yes—
122#2605C2212yes—
123#2605C2212yes—
124#2605C2212yes—
125#2604C2212yes—
126#2604C2212yes—
127#2603C2212yes—
128#2602C2212yes—
129#2601C2212yes—
130#2600C2212yes—
131#2599C2212yes—
132#2599C2212yes—
133#2599C2212yes—
134#2596C2212yes—
135#2595C2212yes—
136#2594C2212yes—
137#2594C2212yes—
138#2590C2212yes—
139#2590C2212yes—
140#2590C2212yes—
141#2588C2212yes—
142#2588C2212yes—
143#2588C2212yes—
144#2588C2212yes—
145#2588C2212yes—
146#2588C2212yes—
147#2588C2212yes—
148#2586C2212yes—
149#2586C2212yes—
150#2585C2212yes—
151#2585C2212yes—
152#2585C2212yes—
153#2585C2212yes—
154#2583C2212yes—
155#2577C2212yes—
156#2577C2212yes—
157#2575C2212yes—
158#2575C2212yes—
159#2574C2212yes—
160#2574C2212yes—
161#2573C2212yes—
162#2573C2212yes—
163#2573C2212yes—
164#2572C2212yes—
165#2569C2212yes—
166#2565C2212yes—
167#2565C2212yes—
168#2564C2212yes—
169#2564C2212yes—
170#2560C2212yes—
171#2560C2212yes—
172#2556C2212yes—
173#2556C2212yes—
174#2549C2212yes—
175#2536C2212yes—
176#2533C2212yes—
177#2533C2212yes—
178#2533C2212yes—
179#2532C2212yes—
180#2532C2212yes—
181#2531C2212yes—
182#2531C2212yes—
183#2530C2212yes—
184#2530C2212yes—
185#2530C2212yes—
186#2530C2212yes—
187#2529C2212yes—
188#2528C2212yes—
189#2528C2212yes—
190#2528C2212yes—
191#2528C2212yes—
192#2528C2212yes—
193#2528C2212yes—
194#2527C2212yes—
195#2527C2212yes—
196#2527C2212yes—
197#2527C2212yes—
198#2527C2212yes—
199#2527C2212yes—
200#2527C2212yes—
201#2527C2212yes—
202#2526C2212yes—
203#2526C2212yes—
204#2525C2212yes—
205#2524C2212yes—
206#2520C2212yes—
207#2520C2212yes—
208#2516C2212yes—
209#2516C2212yes—
210#2510C2212yes—
211#2505C2212yes—
212#2499C2212yes—
213#2498C2212yes—
214#2498C2212yes—
215#2493C2212yes—
216#2493C2212yes—
217#2493C2212yes—
218#2488C2212yes—
219#2485C2212yes—
220#2484C2212yes—
221#2484C2212yes—
222#2484C2212yes—
223#2481C2212yes—
224#2479C2212yes—
225#2478C2212yes—
226#2477C2212yes—
227#2477C2212yes—
228#2477C2212yes—
229#2475C2212yes—
230#2475C2212yes—
231#2473C2212yes—
232#2473C2212yes—
233#2473C2212yes—
234#2473C2212yes—
235#2471C2212yes—
236#2462C2212yes—
237#2462C2212yes—
238#2458C2212yes—
239#2458C2212yes—
240#2450C2212yes—
241#2449C2212yes—
242#2449C2212yes—
243#2446C2212yes—
244#2446C2212yes—
245#2444C2212yes—
246#2444C2212yes—
247#2444C2212yes—
248#2443C2212yes—
249#2443C2212yes—
250#2443C2212yes—
251#2438C2212yes—
252#2438C2212yes—
253#2438C2212yes—
254#2438C2212yes—
255#2438C2212yes—
256#2430C2212yes—
257#2423C2212yes—
258#2423C2212yes—
259#2421C2212yes—
260#2421C2212yes—
261#2419C2212yes—
262#2419C2212yes—
263#2419C2212yes—
264#2419C2212yes—
265#2419C2212yes—
266#2419C2212yes—
267#2415C2212yes—
268#2413C2212yes—
269#2409C2212yes—
270#2409C2212yes—
271#2406C2212yes—
272#2374C2212yes—
273#2374C2212yes—
274#2373C2212yes—
275#2373C2212yes—
276#2373C2212yes—
277#2372C2212yes—
278#2371C2212yes—
279#2371C2212yes—
280#2371C2212yes—
281#2370C2212yes—
282#2369C2212yes—
283#2368C2212yes—
284#2368C2212yes—
285#2368C2212yes—
286#2368C2212yes—
287#2368C2212yes—
288#2368C2212yes—
289#2363C2212yes—
290#2362C2212yes—
291#2361C2212yes—
292#2360C2212yes—
293#2359C2212yes—
294#2359C2212yes—
295#2359C2212yes—
296#2359C2212yes—
297#2359C2212yes—
298#2357C2212yes—
299#2356C2212yes—
300#2353C2212yes—
301#2352C2212yes—
302#2352C2212yes—
303#2349C2212yes—
304D4×C4⋊C4C2212yes—
305#2345C2212yes—
306#2344C2212yes—
307#2344C2212yes—
308#2343C2212yes—
309#2343C2212yes—
310#2343C2212yes—
311#2343C2212yes—
312#2343C2212yes—
313#2343C2212yes—
314#2339C2212yes—
315#2339C2212yes—
316#2339C2212yes—
317#2339C2212yes—
318#2336C2212yes—
319#2336C2212yes—
320#2336C2212yes—
321#2335C2212yes—
322#2335C2212yes—
323#2334C2212yes—
324#2332C2212yes—
325#2332C2212yes—
326#2332C2212yes—
327#2332C2212yes—
328#2331C2212yes—
329#2329C2212yes—
330#2324C2212yes—
331#2322C2212yes—
332C4×#125C2211yescharacteristic
333C4×#125C2212yes—
334C4×#126C2212yes—
335C4×#124C2211yescharacteristic
336C4×C22⋊Q8C2211yescharacteristic
337C4×#123C2212yes—
338C4×#123C2212yes—
339C4×#123C2212yes—
340C4×#121C2211yescharacteristic
341C4×#121C2212yes—
342#2298C2212yes—
343#2298C2212yes—
344#2298C2212yes—
345#2298C2212yes—
346#2297C2212yes—
347#2297C2211yescharacteristic
348#2297C2211yescharacteristic
349#2296C2211yescharacteristic
350#2296C2211yescharacteristic
351#2295C2212yes—
352#2295C2211yescharacteristic
353#2295C2211yescharacteristic
354#2295C2211yescharacteristic
355#2295C2211yescharacteristic
356#2295C2211yescharacteristic
357#2295C2211yescharacteristic
358#2295C2211yescharacteristic
359#2295C2212yes—
360#2295C2211yescharacteristic
361#2295C2211yescharacteristic
362#2295C2211yescharacteristic
363#2295C2212yes—
364#2295C2211yescharacteristic
365#2295C2212yes—
366#2295C2211yescharacteristic
367#2295C2211yescharacteristic
368C2×#391C2211yescharacteristic
369C2×#391C2211yescharacteristic
370#2293C2211yescharacteristic
371#2293C2211yescharacteristic
372#2293C2211yescharacteristic
373#2293C2211yescharacteristic
374#2293C2211yescharacteristic
375C2×#389C2211yescharacteristic
376C2×#389C2211yescharacteristic
377#2290C2212yes—
378#2290C2212yes—
379#2290C2212yes—
380#2290C2212yes—
381#2290C2212yes—
382#2290C2212yes—
383C2×#387C2212yes—
384C2×#387C2212yes—
385C2×#387C2212yes—
386#2275C2212yes—
387#2274C2212yes—
388C4×#117C2212yes—
389C4×#117C2212yes—
390C4×#117C2211yescharacteristic
391C2×C4×C4⋊C4C2211yescharacteristic
392C2×C4×C4⋊C4C2212yes—
393C2×#376C2212yes—
394C2×C43C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#552—216no—
399#547—216no—
400C2×C4⋊Q8C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#125C2311yescharacteristic
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#124C2311yescharacteristic
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C4×#41—28no—
431C2×C4×Q8—28no—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C2×#117C2312yes—
464C2×#117C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C42C2311yescharacteristic
476C22×C42C2312yes—
477C22×C42C2311yescharacteristic
478C22×C42C2311yescharacteristic
479C22×C42C2312yes—
480C22×C42C2312yes—
481C22×C42C2311yescharacteristic
482C22×C42C2311yescharacteristic
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485#401C2312yes—
486#401C2312yes—
487#401C2312yes—
488#401C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
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#398C2312yes—
558#398C2312yes—
559#398C2312yes—
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#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#395C2312yes—
586#395C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#393C2312yes—
605#393C2312yes—
606#393C2312yes—
607#393C2312yes—
608#393C2312yes—
609#393C2312yes—
610#393C2312yes—
611#393C2312yes—
612#392C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2311yescharacteristic
620#391C2312yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2311yescharacteristic
637#391C2312yes—
638#391C2312yes—
639#391C2311yescharacteristic
640#391C2312yes—
641#391C2311yescharacteristic
642#391C2312yes—
643#391C2312yes—
644#391C2311yescharacteristic
645#391C2311yescharacteristic
646#391C2311yescharacteristic
647#391C2311yescharacteristic
648#391C2312yes—
649#391C2311yescharacteristic
650#391C2311yescharacteristic
651#391C2311yescharacteristic
652#391C2311yescharacteristic
653#391C2311yescharacteristic
654#391C2311yescharacteristic
655#390C2311yescharacteristic
656#390C2312yes—
657#390C2311yescharacteristic
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2311yescharacteristic
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2311yescharacteristic
665#390C2311yescharacteristic
666#390C2311yescharacteristic
667#389C2312yes—
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#389C2312yes—
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2311yescharacteristic
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2311yescharacteristic
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2311yescharacteristic
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2311yescharacteristic
707#389C2311yescharacteristic
708#389C2311yescharacteristic
709#389C2311yescharacteristic
710#389C2311yescharacteristic
711#389C2311yescharacteristic
712#389C2312yes—
713#389C2311yescharacteristic
714#389C2311yescharacteristic
715#389C2311yescharacteristic
716#389C2311yescharacteristic
717#389C2311yescharacteristic
718#389C2311yescharacteristic
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#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
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#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#384C2312yes—
982#383C2312yes—
983#383C2312yes—
984#383C2312yes—
985#383C2312yes—
986#383C2312yes—
987#383C2312yes—
988#383C2312yes—
989#382C2311yescharacteristic
990#382C2312yes—
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2312yes—
995#382C2311yescharacteristic
996#382C2312yes—
997#381C2312yes—
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#380C2311yescharacteristic
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2311yescharacteristic
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2311yescharacteristic
1033C4×C4⋊C4C2311yescharacteristic
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2311yescharacteristic
1057C4×C4⋊C4C2311yescharacteristic
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109#376C2312yes—
1110#376C2312yes—
1111#376C2312yes—
1112#376C2312yes—
1113#376C2312yes—
1114#376C2312yes—
1115#376C2312yes—
1116#376C2312yes—
1117#376C2312yes—
1118#376C2312yes—
1119#376C2312yes—
1120#376C2312yes—
1121#376C2312yes—
1122#376C2312yes—
1123#376C2312yes—
1124#376C2312yes—
1125C2×#95C2312yes—
1126C2×#95C2312yes—
1127C2×#95C2312yes—
1128C2×#95C2312yes—
1129C2×#95C2312yes—
1130C2×#95C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C43C2311yescharacteristic
1138C43C2312yes—
1139C43C2311yescharacteristic
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C2×#41—28no—
1147C2×#41—42no—
1148C2×#41—42no—
1149C2×#41—44no—
1150C2×#41—44no—
1151C2×#41#4118yes—
1152C22×Q8—24no—
1153C22×Q8—42no—
1154C22×Q8—42no—
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C23×C4C2411yescharacteristic
1169C23×C4C2412yes—
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2411yescharacteristic
1180C23×C4C2411yescharacteristic
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C4⋊Q8—28no—
1190#126—28no—
1191#126—28no—
1192#126—44no—
1193#125—28no—
1194#125—28no—
1195#125—28no—
1196#125—24no—
1197#125—44no—
1198#124—24no—
1199#123—28no—
1200#123—28no—
1201#123—28no—
1202#123—28no—
1203#123—28no—
1204#123—28no—
1205#123—44no—
1206C22⋊Q8—28no—
1207C22⋊Q8—28no—
1208C22⋊Q8—28no—
1209C22⋊Q8—28no—
1210C22⋊Q8—42no—
1211C22⋊Q8—44no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216#121—28no—
1217#121—28no—
1218#121—42no—
1219C4×Q8—24no—
1220C4×Q8—24no—
1221C4×Q8—24no—
1222C4×Q8—28no—
1223C4×Q8—24no—
1224C4×Q8—24no—
1225C4×Q8—28no—
1226C4×Q8—42no—
1227C4×Q8#4118yescomplemented
1228C4×D4—28no—
1229C4×D4—28no—
1230C4×D4—24no—
1231C4×D4—24no—
1232C4×D4—28no—
1233C4×D4—28no—
1234C4×D4—28no—
1235C4×D4—42no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—44no—
1239C4×D4—44no—
1240C4×D4—44no—
1241#117—24no—
1242#117—28no—
1243#117—28no—
1244#117—28no—
1245#117—28no—
1246#117—28no—
1247#117—44no—
1248#117—44no—
1249#117—44no—
1250#117—44no—
1251#117—42no—
1252#117—44no—
1253#117—42no—
1254C2×C4⋊C4—28no—
1255C2×C4⋊C4—28no—
1256C2×C4⋊C4—28no—
1257C2×C4⋊C4—24no—
1258C2×C4⋊C4—28no—
1259C2×C4⋊C4—44no—
1260C2×C4⋊C4—42no—
1261C2×C4⋊C4—42no—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C42—24no—
1402C2×C42—28no—
1403C2×C42—24no—
1404C2×C42—28no—
1405C2×C42—24no—
1406C2×C42—42no—
1407C2×C42—42no—
1408C2×C42—42no—
1409C2×C42—44no—
1410C2×C42—42no—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2411yescharacteristic
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2411yescharacteristic
1427C2×C42C2411yescharacteristic
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2411yescharacteristic
1435C2×C42C2411yescharacteristic
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2411yescharacteristic
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453C2×C42C2411yescharacteristic
1454C2×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456C2×C42C2411yescharacteristic
1457C2×C42C2411yescharacteristic
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461C2×C42C2411yescharacteristic
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2412yes—
1468C2×C42C2411yescharacteristic
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—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593C24C2512yes—
1594C24C2512yes—
1595C24C2511yescharacteristic
1596#41—416no—
1597#41—816no—
1598C2×Q8—24no—
1599C2×Q8—22no—
1600C2×Q8—24no—
1601C2×Q8—22no—
1602C2×Q8—24no—
1603C2×Q8—41no—
1604C2×Q8—42no—
1605C2×Q8—41no—
1606C2×Q8—41no—
1607C2×Q8—41no—
1608C2×Q8—41no—
1609C2×Q8—41no—
1610C2×Q8—41no—
1611C2×Q8—41no—
1612C2×Q8—42no—
1613C2×Q8—42no—
1614C2×Q8—42no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—416no—
1618C2×Q8C2×#4114yes—
1619C2×Q8C2×#4114yes—
1620C2×D4—24no—
1621C2×D4—24no—
1622C2×D4—24no—
1623C2×D4—24no—
1624C2×D4—24no—
1625C2×D4—24no—
1626C2×D4—24no—
1627C2×D4—24no—
1628C2×D4—22no—
1629C2×D4—42no—
1630C2×D4—41no—
1631C2×D4—41no—
1632C2×D4—41no—
1633C2×D4—41no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4C2×#4118yes—
1637C2×D4C2×#4114yes—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—22no—
1644C22×C4—22no—
1645C22×C4—22no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—22no—
1649C22×C4—22no—
1650C22×C4—24no—
1651C22×C4—24no—
1652C22×C4—24no—
1653C22×C4—22no—
1654C22×C4—22no—
1655C22×C4—24no—
1656C22×C4—24no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—22no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—22no—
1666C22×C4—22no—
1667C22×C4—24no—
1668C22×C4—22no—
1669C22×C4—24no—
1670C22×C4—24no—
1671C22×C4—24no—
1672C22×C4—24no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—41no—
1676C22×C4—41no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4C2×#4114yes—
1700C22×C4C2×#4118yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2511yescharacteristic
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2511yescharacteristic
1717C22×C4C2512yes—
1718C22×C4C2511yescharacteristic
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2511yescharacteristic
1727C22×C4C2511yescharacteristic
1728C22×C4C2511yescharacteristic
1729C22×C4C2511yescharacteristic
1730C22×C4C2511yescharacteristic
1731C22×C4C2512yes—
1732C22×C4C2511yescharacteristic
1733C22×C4C2511yescharacteristic
1734C22×C4C2511yescharacteristic
1735C22×C4C2511yescharacteristic
1736C22×C4C2511yescharacteristic
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—22no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—22no—
1755C4⋊C4—22no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—22no—
1774C4⋊C4—22no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—41no—
1782C4⋊C4—42no—
1783C4⋊C4—41no—
1784C4⋊C4—41no—
1785C4⋊C4—41no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—41no—
1789C4⋊C4—41no—
1790C4⋊C4—41no—
1791C4⋊C4—41no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—41no—
1804C4⋊C4—42no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4C2×#4118yes—
1825C4⋊C4C2×#4114yes—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C42—22no—
1877C42—22no—
1878C42—24no—
1879C42—24no—
1880C42—24no—
1881C42—22no—
1882C42—22no—
1883C42—22no—
1884C42—22no—
1885C42—24no—
1886C42—24no—
1887C42—22no—
1888C42—24no—
1889C42—24no—
1890C42—24no—
1891C42—24no—
1892C42—22no—
1893C42—22no—
1894C42—22no—
1895C42—24no—
1896C42—22no—
1897C42—22no—
1898C42—22no—
1899C42—22no—
1900C42—24no—
1901C42—41no—
1902C42—41no—
1903C42—41no—
1904C42—41no—
1905C42—41no—
1906C42—41no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—41no—
1912C42—41no—
1913C42—41no—
1914C42—41no—
1915C42—41no—
1916C42—41no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42C2×#4114yes—
1932C42C2×#4118yes—
1933C422−1+414yes—
1934C23—21no—
1935C23—21no—
1936C23—21no—
1937C23—21no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23C22×#4114yes—
1952C23C22×#4112yes—
1953C23#58512yes—
1954C23#58512yes—
1955C23C2611yescharacteristic
1956Q8—44no—
1957Q8—44no—
1958Q8—48no—
1959Q8—44no—
1960Q8—82no—
1961Q8—84no—
1962Q8—162no—
1963D4—216no—
1964D4—44no—
1965D4—48no—
1966D4—48no—
1967D4—82no—
1968D4—84no—
1969C2×C4—28no—
1970C2×C4—28no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—28no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—21no—
2026C2×C4—21no—
2027C2×C4—21no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—48no—
2068C2×C4—44no—
2069C2×C4—48no—
2070C2×C4—44no—
2071C2×C4—44no—
2072C2×C4—44no—
2073C2×C4—48no—
2074C2×C4—48no—
2075C2×C4—48no—
2076C2×C4—48no—
2077C2×C4—48no—
2078C2×C4—84no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—162no—
2085C2×C4C22×#4112yes—
2086C2×C4C22×#4112yes—
2087C2×C4C22×#4112yes—
2088C2×C4C22×#4114yes—
2089C2×C4C22×#4114yes—
2090C2×C4C22×#4112yes—
2091C2×C4C22×#4112yes—
2092C2×C4C22×#4114yes—
2093C2×C4C2×2−1+412yes—
2094C2×C4C2×2−1+412yes—
2095C2×C4C2×2−1+412yes—
2096C2×C4#58512yes—
2097C2×C4#58512yes—
2098C22—22no—
2099C22—22no—
2100C22—22no—
2101C22—22no—
2102C22—22no—
2103C22—22no—
2104C22—24no—
2105C22—24no—
2106C22—24no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22#349114yes—
2119C22C23×#4111yescharacteristic
2120C22C23×#4111yescharacteristic
2121C22C22×2−1+411yescharacteristic
2122C22C2×#58511yescharacteristic
2123C22C2×#58511yescharacteristic
2124C22C2×#58511yescharacteristic
2125C22C2×#58511yescharacteristic
2126C4—22no—
2127C4—22no—
2128C4—24no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—24no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—24no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—41no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—41no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—41no—
2157C4—42no—
2158C4—41no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C2—24no—
2163C2—44no—
2164C2—82no—
2165C2#41211yescharacteristic
2166C2C2×#349111yescharacteristic
2167C2#6278811yescharacteristic
2168C2#6280511yescharacteristic
2169C2#6281411yescharacteristic
2170C2#6282811yescharacteristic
2171C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38425C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59983C2semidirect
2. #59981C2semidirect
3. #59954C2semidirect
4. #59941C2semidirect
5. #59928C2semidirect
6. #59927C2semidirect
7. #59880C2semidirect
8. #59879C2semidirect
9. #59493C2semidirect
10. #59471C2semidirect
11. #38690C2semidirect
12. #38680C2semidirect
13. #38658C2semidirect
14. #38649C2semidirect
15. #38492C2semidirect
16. #38484C2semidirect
17. #38472C2semidirect
18. #38465C2semidirect
19. #38454C2semidirect
20. #38444C2semidirect
21. #38434C2semidirect
23. #36638C2semidirect
24. #36397C2semidirect
25. #36358C2semidirect
26. #36352C2semidirect
27. #36350C2semidirect
28. #36343C2semidirect
29. #36282C2semidirect
30. #36232C2semidirect
31. #36217C2semidirect
32. #35507C2semidirect
33. #35503C2semidirect
34. #35124C2semidirect
35. #35059C2semidirect
36. #34298C2semidirect
37. #34297C2semidirect
38. #34026C2semidirect
39. C2×#2295C2semidirect
1227. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599832
#599812
#599542
#599412
#599282
#599272
#598802
#598792
#594932
#594712
#386902
#386802
#386582
#386492
#384922
#384842
#384722
#384652
#384542
#384442
#384342
#384252
#366382
#363972
#363582
#363522
#363502
#363432
#362822
#362322
#362172
#355072
#355032
#351242
#350592
#342982
#342972
#340262
C2×#22952