Finite Group Databasebeta

← #7654310

Subgroups — #7654310

Order 512.

4372 conjugacy classes of subgroups.

The subgroup lattice has 1613 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42764C212yesmaximal, complemented
2#42599C212yesmaximal, complemented
3#42274C214yesmaximal, complemented
4#42256C214yesmaximal, complemented
5#40443C214yesmaximal, complemented
6#40219C212yesmaximal, complemented
7#39820C212yesmaximal, complemented
8#39794C212yesmaximal, complemented
9#39754C211yesmaximal, characteristic, complemented
10#39272C212yesmaximal, complemented
11#39172C211yesmaximal, characteristic, complemented
12#39136C211yesmaximal, characteristic
13#39125C211yesmaximal, characteristic, complemented
14#38307C214yesmaximal, complemented
15#37985C212yesmaximal, complemented
16#37955C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37593C212yesmaximal, complemented
19#36599C211yesmaximal, characteristic, complemented
20#36494C212yesmaximal, complemented
21#36476C211yesmaximal, characteristic, complemented
22#36284C212yesmaximal, complemented
23#36176C211yesmaximal, characteristic, complemented
24#36174C211yesmaximal, characteristic, complemented
25#36058C212yesmaximal, complemented
26#35855C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35207C211yesmaximal, characteristic, complemented
29#35204C212yesmaximal, complemented
30#35108C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34945C212yesmaximal, complemented
33#34335C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2865C2214yes—
40#2864C2214yes—
41#2862C2211yescharacteristic
42#2859C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2854C2212yes—
48#2854C2212yes—
49#2851C2212yes—
50#2850C2212yes—
51#2836C2214yes—
52#2832C2214yes—
53#2831C2214yes—
54#2802C2214yes—
55#2796C2214yes—
56#2782C2214yes—
57#2776C2214yes—
58#2775C2214yes—
59#2774C2214yes—
60#2772C2214yes—
61#2771C2214yes—
62#2769C2214yes—
63#2765C2214yes—
64#2764C2214yes—
65#2758C2214yes—
66#2757C2214yes—
67#2754C2214yes—
68#2744C2214yes—
69#2737C2214yes—
70#2727C2214yes—
71#2724C2214yes—
72#2716C2214yes—
73#2716C2214yes—
74#2716C2214yes—
75#2710C2214yes—
76#2705C2214yes—
77#2674C2214yes—
78#2663C2214yes—
79#2660C2212yes—
80#2655C2214yes—
81#2654C2214yes—
82#2654C2214yes—
83#2654C2214yes—
84#2653C2214yes—
85#2652C2214yes—
86#2651C2214yes—
87#2650C2214yes—
88#2647C2212yes—
89#2645C2212yes—
90#2644C2212yes—
91#2640C2212yes—
92#2630C2214yes—
93#2628C2212yes—
94#2625C2212yes—
95#2625C2212yes—
96#2621C2212yes—
97#2620C2212yes—
98#2612C2214yes—
99#2612C2214yes—
100#2607C2214yes—
101#2597C2214yes—
102#2596C2214yes—
103#2595C2214yes—
104#2590C2214yes—
105#2589C2214yes—
106#2589C2214yes—
107#2587C2214yes—
108#2585C2214yes—
109#2584C2212yes—
110#2581C2212yes—
111#2580C2212yes—
112#2576C2214yes—
113#2575C2214yes—
114#2574C2214yes—
115#2573C2214yes—
116#2573C2214yes—
117#2571C2211yescharacteristic
118#2571C2212yes—
119#2570C2212yes—
120#2570C2212yes—
121#2569C2214yes—
122#2568C2212yes—
123#2563C2211yescharacteristic
124#2563C2211yescharacteristic
125#2557C2214yes—
126#2552C2211yescharacteristic
127#2550C2212yes—
128#2547C2212yes—
129#2546C2211yescharacteristic
130#2545C2212yes—
131#2542C2211yescharacteristic
132#2540C2212yes—
133#2538C2212yes—
134#2538C2212yes—
135#2538C2211yescharacteristic
136#2537C2211yescharacteristic
137#2536C2212yes—
138#2533C2214yes—
139#2532C2214yes—
140#2531C2214yes—
141#2531C2214yes—
142#2530C2212yes—
143#2529C2214yes—
144#2529C2214yes—
145#2528C2214yes—
146#2527C2212yes—
147#2527C2214yes—
148#2526C2214yes—
149#2526C2214yes—
150#2525C2214yes—
151#2522C2214yes—
152#2518C2214yes—
153#2514C2214yes—
154#2514C2212yes—
155#2513C2212yes—
156#2513C2214yes—
157#2513C2212yes—
158#2511C2212yes—
159#2511C2211yescharacteristic
160#2509C2212yes—
161#2509C2211yescharacteristic
162#2509C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2507C2212yes—
167#2495C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2494C2212yes—
171#2494C2212yes—
172#2494C2211yescharacteristic
173#2494C2212yes—
174#2492C2211yescharacteristic
175#2492C2212yes—
176#2491C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2488C2214yes—
182#2486C2212yes—
183#2477C2212yes—
184#2470C2212yes—
185#2465C2214yes—
186#2458C2214yes—
187#2458C2214yes—
188#2457C2214yes—
189#2453C2212yes—
190#2453C2212yes—
191#2452C2211yescharacteristic
192#2448C2212yes—
193#2447C2214yes—
194#2447C2211yescharacteristic
195#2446C2212yes—
196#2442C2212yes—
197#2441C2212yes—
198#2439C2212yes—
199#2439C2212yes—
200#2429C2212yes—
201#2427C2211yescharacteristic
202#2426C2212yes—
203#2423C2212yes—
204#2422C2212yes—
205#2422C2211yescharacteristic
206#2421C2212yes—
207#2421C2212yes—
208#2421C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2414C2212yes—
213#2401C2212yes—
214#2401C2214yes—
215#2401C2214yes—
216#2398C2212yes—
217#2373C2212yes—
218#2373C2214yes—
219#2373C2212yes—
220#2370C2211yescharacteristic
221#2370C2211yescharacteristic
222#2370C2212yes—
223#2369C2211yescharacteristic
224#2369C2212yes—
225#2367C2212yes—
226#2367C2211yescharacteristic
227#2367C2211yescharacteristic
228#2365C2212yes—
229#2365C2214yes—
230#2365C2211yescharacteristic
231#2363C2212yes—
232#2362C2212yes—
233#2361C2211yescharacteristic
234#2361C2211yescharacteristic
235#2360C2211yescharacteristic
236#2360C2211yescharacteristic
237#2359C2212yes—
238#2359C2212yes—
239#2357C2212yes—
240#2356C2212yes—
241#2355C2212yes—
242#2355C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2354C2211yescharacteristic
246#2352C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249#2347C2212yes—
250#2346C2212yes—
251#2346C2212yes—
252#2345C2212yes—
253#2335C2214yes—
254#2335C2214yes—
255#2331C2212yes—
256#2331C2214yes—
257#2330C2212yes—
258#2327C2212yes—
259#2324C2212yes—
260#2323C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2320C2212yes—
264#2314C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×#126C2214yes—
270C4×#124C2211yescharacteristic
271C4×#124C2212yes—
272C4×#124C2214yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2214yes—
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2283C2212yes—
289#2283C2212yes—
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—28no—
300#556—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308#529—28no—
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2314yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368C22×C42C2312yes—
369C22×C42C2312yes—
370#401C2314yes—
371#401C2314yes—
372#401C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
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#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2312yes—
460#393C2314yes—
461#393C2312yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#392C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2314yes—
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800#376C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2311yescharacteristic
808C2×#95C2312yes—
809C43C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2414yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C4⋊Q8—28no—
836C4⋊Q8—216no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840C4⋊Q8—42no—
841C4⋊Q8—44no—
842#126—28no—
843#126—216no—
844#125—24no—
845#125—44no—
846#125—44no—
847#124—24no—
848#124—28no—
849#124—42no—
850#124—48no—
851#123—28no—
852#123—44no—
853#123—48no—
854#123—48no—
855C22⋊Q8—24no—
856C22⋊Q8—28no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—42no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864#121—24no—
865#121—44no—
866#121—42no—
867#121—44no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—28no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—48no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8#4118yes—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—44no—
886C4×D4—42no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—44no—
890C4×D4—44no—
891#117—28no—
892#117—28no—
893#117—28no—
894#117—44no—
895#117—42no—
896#117—42no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42—24no—
1015C2×C42—44no—
1016C2×C42—44no—
1017C2×C42—44no—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2414yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2414yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2414yes—
1078#95C2411yescharacteristic
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C24C2512yes—
1146C24C2511yescharacteristic
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—28no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—42no—
1164C2×Q8C2×#4114yes—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4C2×#4114yes—
1314C4⋊C4C2×#4118yes—
1315C4⋊C42−1+414yes—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—22no—
1331C22⋊C4—24no—
1332C22⋊C4—41no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—28no—
1364C42—28no—
1365C42—24no—
1366C42—28no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—24no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—22no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—42no—
1386C42—42no—
1387C42—42no—
1388C42—41no—
1389C42—41no—
1390C42—41no—
1391C42—42no—
1392C42—42no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42C2×#4114yes—
1401C42C2×#4118yes—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
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#58512yes—
1423C23C2611yescharacteristic
1424Q8—28no—
1425Q8—44no—
1426Q8—48no—
1427Q8—84no—
1428Q8—88no—
1429Q8—84no—
1430D4—48no—
1431D4—44no—
1432D4—44no—
1433D4—84no—
1434D4—164no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—48no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—84no—
1528C2×C4—84no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4C22×#4114yes—
1532C2×C4C22×#4114yes—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C2×2−1+414yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4#58512yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22C23×#4111yescharacteristic
1564C22C22×2−1+411yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C4—24no—
1571C4—22no—
1572C4—22no—
1573C4—24no—
1574C4—24no—
1575C4—41no—
1576C4—42no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—44no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—44no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4—41no—
1596C4—44no—
1597C4—42no—
1598C4—41no—
1599C4—42no—
1600C4#346114yes—
1601C4#352414yes—
1602C2—42no—
1603C2—82no—
1604C2—82no—
1605C2C2×#346111yescharacteristic
1606C2C2×#352411yescharacteristic
1607C2#6281011yescharacteristic
1608C2#6302511yescharacteristic
1609C2#6302811yescharacteristic
1610C2#6302911yescharacteristic
1611C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39136C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42764C2semidirect
2. #42599C2semidirect
3. #42274C2semidirect
4. #42256C2semidirect
5. #40443C2semidirect
6. #40219C2semidirect
7. #39820C2semidirect
8. #39794C2semidirect
9. #39754C2semidirect
10. #39272C2semidirect
11. #39172C2semidirect
13. #39125C2semidirect
14. #38307C2semidirect
15. #37985C2semidirect
16. #37955C2semidirect
17. #37628C2semidirect
18. #37593C2semidirect
19. #36599C2semidirect
20. #36494C2semidirect
21. #36476C2semidirect
22. #36284C2semidirect
23. #36176C2semidirect
24. #36174C2semidirect
25. #36058C2semidirect
26. #35855C2semidirect
27. #35291C2semidirect
28. #35207C2semidirect
29. #35204C2semidirect
30. #35108C2semidirect
31. #34969C2semidirect
32. #34945C2semidirect
33. #34335C2semidirect
34. C4×#556C2semidirect
35. #34153C2semidirect

Maximal subgroups

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

subgroupindex
#427642
#425992
#422742
#422562
#404432
#402192
#398202
#397942
#397542
#392722
#391722
#391362
#391252
#383072
#379852
#379552
#376282
#375932
#365992
#364942
#364762
#362842
#361762
#361742
#360582
#358552
#352912
#352072
#352042
#351082
#349692
#349452
#343352
C4×#5562
#341532