Finite Group Databasebeta

← #7647757

Subgroups — #7647757

Order 512.

4300 conjugacy classes of subgroups.

The subgroup lattice has 1611 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41744C214yesmaximal, complemented
2#41649C214yesmaximal, complemented
3#41097C214yesmaximal, complemented
4#40954C214yesmaximal, complemented
5#39820C212yesmaximal, complemented
6#39553C212yesmaximal, complemented
7#39281C212yesmaximal, complemented
8#39058C212yesmaximal, complemented
9#38279C212yesmaximal, complemented
10#38219C212yesmaximal, complemented
11#37982C212yesmaximal, complemented
12#37944C212yesmaximal, complemented
13#37638C211yesmaximal, characteristic, complemented
14#37633C211yesmaximal, characteristic, complemented
15#37628C211yesmaximal, characteristic, complemented
16#37620C211yesmaximal, characteristic
17#37435C212yesmaximal, complemented
18#37407C212yesmaximal, complemented
19#37360C212yesmaximal, complemented
20#37328C212yesmaximal, complemented
21#35652C212yesmaximal, complemented
22#35603C212yesmaximal, complemented
23#35336C212yesmaximal, complemented
24#35300C212yesmaximal, complemented
25#35286C211yesmaximal, characteristic, complemented
26#35207C211yesmaximal, characteristic, complemented
27#35206C211yesmaximal, characteristic, complemented
28#35201C211yesmaximal, characteristic, complemented
29#35196C211yesmaximal, characteristic, complemented
30#35185C211yesmaximal, characteristic, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34214C211yesmaximal, characteristic, complemented
34#34151C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2864C2212yes—
40#2861C2212yes—
41#2860C2212yes—
42#2859C2212yes—
43#2859C2212yes—
44#2859C2212yes—
45#2855C2212yes—
46#2855C2212yes—
47#2854C2212yes—
48#2851C2212yes—
49#2851C2212yes—
50#2850C2212yes—
51#2836C2214yes—
52#2833C2214yes—
53#2823C2214yes—
54#2814C2214yes—
55#2802C2214yes—
56#2801C2214yes—
57#2800C2214yes—
58#2796C2214yes—
59#2794C2214yes—
60#2793C2214yes—
61#2790C2214yes—
62#2787C2214yes—
63#2783C2214yes—
64#2782C2214yes—
65#2782C2214yes—
66#2779C2214yes—
67#2777C2214yes—
68#2776C2214yes—
69#2772C2214yes—
70#2772C2214yes—
71#2767C2214yes—
72#2766C2214yes—
73#2765C2214yes—
74#2765C2214yes—
75#2757C2214yes—
76#2750C2214yes—
77#2750C2214yes—
78#2747C2214yes—
79#2744C2214yes—
80#2739C2214yes—
81#2725C2214yes—
82#2725C2214yes—
83#2719C2214yes—
84#2718C2214yes—
85#2708C2214yes—
86#2691C2214yes—
87#2663C2214yes—
88#2654C2214yes—
89#2653C2214yes—
90#2652C2214yes—
91#2650C2214yes—
92#2649C2214yes—
93#2647C2212yes—
94#2647C2212yes—
95#2647C2212yes—
96#2647C2214yes—
97#2645C2212yes—
98#2645C2212yes—
99#2644C2212yes—
100#2637C2214yes—
101#2634C2214yes—
102#2629C2212yes—
103#2629C2212yes—
104#2629C2212yes—
105#2629C2212yes—
106#2625C2212yes—
107#2621C2212yes—
108#2621C2212yes—
109#2620C2212yes—
110#2620C2212yes—
111#2620C2212yes—
112#2618C2214yes—
113#2604C2214yes—
114#2597C2214yes—
115#2595C2214yes—
116#2595C2214yes—
117#2594C2214yes—
118#2594C2214yes—
119#2593C2214yes—
120#2590C2214yes—
121#2590C2214yes—
122#2590C2214yes—
123#2590C2214yes—
124#2587C2214yes—
125#2587C2214yes—
126#2587C2214yes—
127#2587C2214yes—
128#2587C2214yes—
129#2585C2214yes—
130#2585C2214yes—
131#2582C2211yescharacteristic
132#2578C2214yes—
133#2577C2214yes—
134#2576C2214yes—
135#2574C2214yes—
136#2571C2211yescharacteristic
137#2571C2211yescharacteristic
138#2571C2212yes—
139#2568C2211yescharacteristic
140#2567C2211yescharacteristic
141#2567C2211yescharacteristic
142#2565C2212yes—
143#2563C2211yescharacteristic
144#2563C2211yescharacteristic
145#2558C2214yes—
146#2552C2212yes—
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2547C2211yescharacteristic
150#2546C2211yescharacteristic
151#2545C2212yes—
152#2542C2211yescharacteristic
153#2538C2211yescharacteristic
154#2538C2211yescharacteristic
155#2537C2211yescharacteristic
156#2531C2214yes—
157#2529C2214yes—
158#2528C2214yes—
159#2526C2214yes—
160#2525C2214yes—
161#2525C2214yes—
162#2516C2214yes—
163#2515C2214yes—
164#2514C2212yes—
165#2514C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2511C2212yes—
169#2511C2212yes—
170#2509C2212yes—
171#2509C2212yes—
172#2508C2212yes—
173#2507C2212yes—
174#2506C2212yes—
175#2506C2212yes—
176#2500C2212yes—
177#2499C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2496C2212yes—
181#2495C2212yes—
182#2494C2212yes—
183#2494C2214yes—
184#2494C2212yes—
185#2490C2212yes—
186#2490C2214yes—
187#2489C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2476C2214yes—
191#2475C2214yes—
192#2475C2214yes—
193#2470C2214yes—
194#2469C2214yes—
195#2458C2214yes—
196#2454C2212yes—
197#2453C2212yes—
198#2447C2212yes—
199#2446C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2214yes—
203#2429C2212yes—
204#2426C2212yes—
205#2423C2212yes—
206#2422C2212yes—
207#2421C2212yes—
208#2421C2212yes—
209#2421C2212yes—
210#2420C2212yes—
211#2417C2212yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2402C2214yes—
218#2396C2214yes—
219#2374C2212yes—
220#2374C2212yes—
221#2373C2212yes—
222#2373C2212yes—
223#2370C2211yescharacteristic
224#2370C2211yescharacteristic
225#2367C2211yescharacteristic
226#2367C2211yescharacteristic
227#2363C2211yescharacteristic
228#2363C2211yescharacteristic
229#2362C2211yescharacteristic
230#2362C2211yescharacteristic
231#2360C2212yes—
232#2360C2212yes—
233#2360C2212yes—
234#2360C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237Q8×C4⋊C4C2212yes—
238Q8×C4⋊C4C2212yes—
239#2335C2212yes—
240#2335C2212yes—
241#2334C2212yes—
242#2334C2212yes—
243#2330C2211yescharacteristic
244#2330C2212yes—
245#2330C2211yescharacteristic
246#2330C2212yes—
247#2326C2211yescharacteristic
248#2326C2211yescharacteristic
249#2326C2212yes—
250#2324C2211yescharacteristic
251#2324C2212yes—
252#2324C2211yescharacteristic
253#2324C2212yes—
254#2323C2211yescharacteristic
255#2323C2211yescharacteristic
256#2323C2212yes—
257#2323C2212yes—
258#2323C2212yes—
259#2320C2212yes—
260#2317C2212yes—
261#2317C2212yes—
262#2316C2212yes—
263#2314C2212yes—
264#2314C2212yes—
265#2314C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×C22⋊Q8C2212yes—
274#2298C2212yes—
275#2298C2212yes—
276#2296C2212yes—
277#2295C2211yescharacteristic
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2293C2212yes—
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2285C2212yes—
290C2×#384C2211yescharacteristic
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#533—28no—
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303#529—28no—
304#529—28no—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2314yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C42C2312yes—
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#393C2314yes—
466#393C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
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#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#381C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2414yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—44no—
835#126—28no—
836#126—28no—
837#126—84no—
838#125—24no—
839#125—24no—
840#125—28no—
841#125—44no—
842#125—44no—
843#125—84no—
844#125—84no—
845#124—24no—
846#124—24no—
847#124—44no—
848#123—28no—
849#123—28no—
850#123—84no—
851C22⋊Q8—24no—
852C22⋊Q8—24no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859#121—24no—
860#121—24no—
861#121—44no—
862#121—44no—
863#121—84no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—24no—
869C4×Q8—42no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—82no—
875C4×Q8—82no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—42no—
882C4×D4—42no—
883C4×D4—42no—
884#117—28no—
885#117—28no—
886#117—28no—
887#117—24no—
888#117—28no—
889#117—42no—
890#117—44no—
891#117—44no—
892#117—42no—
893#117—42no—
894#117—84no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—82no—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C42—44no—
1022C2×C42—44no—
1023C2×C42#4118yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145C24C2512yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4C2×#4114yes—
1203C22×C4C2×#4114yes—
1204C22×C4C2×#4114yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C42—24no—
1361C42—24no—
1362C42—28no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—22no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—42no—
1379C42—41no—
1380C42—42no—
1381C42—42no—
1382C42—42no—
1383C42—41no—
1384C42—42no—
1385C42—42no—
1386C42—42no—
1387C42—44no—
1388C42—42no—
1389C42—44no—
1390C42—42no—
1391C42—44no—
1392C42—42no—
1393C42—41no—
1394C42—41no—
1395C42—44no—
1396C42—42no—
1397C42—42no—
1398C42C2×#4114yes—
1399C42C2×#4114yes—
1400C42C2×#4114yes—
1401C42C2×#4114yes—
1402C422−1+414yes—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23C22×#4112yes—
1424C23C2611yescharacteristic
1425Q8—48no—
1426Q8—44no—
1427Q8—44no—
1428Q8—48no—
1429D4—44no—
1430D4—44no—
1431D4—84no—
1432D4—84no—
1433D4—164no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—28no—
1447C2×C4—28no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—44no—
1521C2×C4—48no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—164no—
1528C2×C4C22×#4112yes—
1529C2×C4C22×#4112yes—
1530C2×C4C22×#4112yes—
1531C2×C4C22×#4112yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4112yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4C2×2−1+412yes—
1537C2×C4#58512yes—
1538C2×C4#58512yes—
1539C2×C4#58512yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22C23×#4111yescharacteristic
1562C22C22×2−1+411yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22H(7,𝔽2)11yescharacteristic
1567C222−1+611yescharacteristic
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—42no—
1575C4—42no—
1576C4—44no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—41no—
1592C4—42no—
1593C4—41no—
1594C4—42no—
1595C4—41no—
1596C4—44no—
1597C4—44no—
1598C4#346114yes—
1599C4#351214yes—
1600C2—42no—
1601C2—82no—
1602C2—82no—
1603C2C2×#346111yescharacteristic
1604C2C2×#351211yescharacteristic
1605C2#6285611yescharacteristic
1606C2#6292611yescharacteristic
1607C2#6293611yescharacteristic
1608C2#6295611yescharacteristic
1609C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37620C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41744C2semidirect
2. #41649C2semidirect
3. #41097C2semidirect
4. #40954C2semidirect
5. #39820C2semidirect
6. #39553C2semidirect
7. #39281C2semidirect
8. #39058C2semidirect
9. #38279C2semidirect
10. #38219C2semidirect
11. #37982C2semidirect
12. #37944C2semidirect
13. #37638C2semidirect
14. #37633C2semidirect
15. #37628C2semidirect
17. #37435C2semidirect
18. #37407C2semidirect
19. #37360C2semidirect
20. #37328C2semidirect
21. #35652C2semidirect
22. #35603C2semidirect
23. #35336C2semidirect
24. #35300C2semidirect
25. #35286C2semidirect
26. #35207C2semidirect
27. #35206C2semidirect
28. #35201C2semidirect
29. #35196C2semidirect
30. #35185C2semidirect
31. #34951C2semidirect
32. #34941C2semidirect
33. #34214C2semidirect
34. #34151C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#417442
#416492
#410972
#409542
#398202
#395532
#392812
#390582
#382792
#382192
#379822
#379442
#376382
#376332
#376282
#376202
#374352
#374072
#373602
#373282
#356522
#356032
#353362
#353002
#352862
#352072
#352062
#352012
#351962
#351852
#349512
#349412
#342142
#341512
#340842