Finite Group Databasebeta

← #7657571

Subgroups — #7657571

Order 512.

4423 conjugacy classes of subgroups.

The subgroup lattice has 1625 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42899C212yesmaximal, complemented
2#42897C212yesmaximal, complemented
3#42588C212yesmaximal, complemented
4#42569C212yesmaximal, complemented
5#42274C214yesmaximal, complemented
6#42097C214yesmaximal, complemented
7#41298C214yesmaximal, complemented
8#41283C214yesmaximal, complemented
9#39272C212yesmaximal, complemented
10#39258C212yesmaximal, complemented
11#39183C211yesmaximal, characteristic, complemented
12#39168C211yesmaximal, characteristic, complemented
13#39137C211yesmaximal, characteristic
14#39125C211yesmaximal, characteristic, complemented
15#38289C212yesmaximal, complemented
16#38272C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37627C212yesmaximal, complemented
19#37625C211yesmaximal, characteristic, complemented
20#37579C212yesmaximal, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36463C211yesmaximal, characteristic, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36287C211yesmaximal, characteristic, complemented
25#36058C212yesmaximal, complemented
26#35968C212yesmaximal, complemented
27#35963C212yesmaximal, complemented
28#35897C212yesmaximal, complemented
29#35300C212yesmaximal, complemented
30#35288C211yesmaximal, characteristic, complemented
31#34629C211yesmaximal, characteristic, complemented
32#34619C212yesmaximal, complemented
33#34335C211yesmaximal, characteristic, complemented
34#34331C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2861C2212yes—
40#2859C2211yescharacteristic
41#2859C2212yes—
42#2858C2211yescharacteristic
43#2857C2211yescharacteristic
44#2856C2211yescharacteristic
45#2855C2212yes—
46#2854C2212yes—
47#2837C2214yes—
48#2837C2214yes—
49#2836C2214yes—
50#2831C2214yes—
51#2829C2214yes—
52#2829C2214yes—
53#2802C2214yes—
54#2796C2214yes—
55#2795C2214yes—
56#2791C2214yes—
57#2783C2214yes—
58#2782C2214yes—
59#2781C2214yes—
60#2781C2214yes—
61#2771C2214yes—
62#2754C2214yes—
63#2747C2214yes—
64#2744C2214yes—
65#2724C2214yes—
66#2716C2214yes—
67#2710C2214yes—
68#2705C2214yes—
69#2702C2214yes—
70#2694C2214yes—
71#2691C2214yes—
72#2690C2214yes—
73#2682C2214yes—
74#2674C2214yes—
75#2674C2214yes—
76#2674C2214yes—
77#2667C2214yes—
78#2655C2212yes—
79#2655C2212yes—
80#2654C2214yes—
81#2653C2214yes—
82#2652C2212yes—
83#2652C2212yes—
84#2651C2214yes—
85#2651C2214yes—
86#2651C2214yes—
87#2651C2214yes—
88#2650C2214yes—
89#2649C2214yes—
90#2648C2214yes—
91#2647C2212yes—
92#2647C2212yes—
93#2647C2211yescharacteristic
94#2645C2211yescharacteristic
95#2645C2211yescharacteristic
96#2644C2212yes—
97#2644C2212yes—
98#2644C2212yes—
99#2642C2211yescharacteristic
100#2641C2212yes—
101#2640C2212yes—
102#2637C2214yes—
103#2630C2214yes—
104#2629C2212yes—
105#2629C2211yescharacteristic
106#2628C2212yes—
107#2625C2212yes—
108#2625C2214yes—
109#2625C2211yescharacteristic
110#2625C2211yescharacteristic
111#2624C2212yes—
112#2624C2212yes—
113#2621C2211yescharacteristic
114#2620C2212yes—
115#2620C2214yes—
116#2620C2212yes—
117#2612C2214yes—
118#2608C2214yes—
119#2597C2214yes—
120#2595C2214yes—
121#2594C2214yes—
122#2593C2214yes—
123#2589C2214yes—
124#2587C2214yes—
125#2587C2214yes—
126#2576C2214yes—
127#2575C2214yes—
128#2570C2212yes—
129#2570C2212yes—
130#2569C2214yes—
131#2567C2211yescharacteristic
132#2566C2212yes—
133#2565C2212yes—
134#2563C2211yescharacteristic
135#2558C2214yes—
136#2557C2214yes—
137#2557C2214yes—
138#2556C2214yes—
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2550C2212yes—
144#2548C2211yescharacteristic
145#2548C2212yes—
146#2547C2212yes—
147#2545C2212yes—
148#2542C2212yes—
149#2541C2211yescharacteristic
150#2540C2212yes—
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic
153#2537C2212yes—
154#2536C2212yes—
155#2531C2214yes—
156#2531C2214yes—
157#2529C2214yes—
158#2529C2214yes—
159#2526C2214yes—
160#2526C2214yes—
161#2526C2214yes—
162#2513C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2513C2214yes—
166#2512C2212yes—
167#2509C2212yes—
168#2508C2212yes—
169#2506C2212yes—
170#2500C2212yes—
171#2497C2212yes—
172#2497C2214yes—
173#2497C2212yes—
174#2496C2212yes—
175#2491C2212yes—
176#2490C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2489C2212yes—
180#2488C2214yes—
181#2479C2214yes—
182#2476C2214yes—
183#2475C2214yes—
184#2470C2214yes—
185#2468C2214yes—
186#2459C2214yes—
187#2454C2212yes—
188#2454C2212yes—
189#2454C2212yes—
190#2453C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2448C2212yes—
194#2448C2212yes—
195#2448C2212yes—
196#2448C2212yes—
197#2447C2212yes—
198#2445C2212yes—
199#2445C2212yes—
200#2444C2214yes—
201#2441C2212yes—
202#2438C2214yes—
203#2429C2212yes—
204#2428C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2427C2212yes—
208#2426C2214yes—
209#2426C2212yes—
210#2426C2212yes—
211#2423C2214yes—
212#2423C2212yes—
213#2422C2212yes—
214#2421C2212yes—
215#2420C2212yes—
216#2420C2212yes—
217#2402C2212yes—
218#2402C2212yes—
219#2401C2214yes—
220#2401C2212yes—
221#2401C2212yes—
222#2398C2214yes—
223#2396C2214yes—
224#2395C2214yes—
225#2374C2212yes—
226#2374C2212yes—
227#2373C2212yes—
228#2373C2212yes—
229#2370C2211yescharacteristic
230#2370C2211yescharacteristic
231#2370C2212yes—
232#2370C2212yes—
233#2369C2212yes—
234#2369C2211yescharacteristic
235#2367C2212yes—
236#2367C2212yes—
237#2367C2211yescharacteristic
238#2367C2211yescharacteristic
239#2366C2211yescharacteristic
240#2366C2212yes—
241#2365C2212yes—
242#2365C2214yes—
243#2363C2211yescharacteristic
244#2363C2212yes—
245#2363C2211yescharacteristic
246#2362C2211yescharacteristic
247#2362C2211yescharacteristic
248#2359C2214yes—
249#2357C2212yes—
250#2357C2212yes—
251#2355C2211yescharacteristic
252#2355C2212yes—
253#2355C2211yescharacteristic
254#2354C2212yes—
255#2354C2212yes—
256#2351C2212yes—
257Q8×C4⋊C4C2211yescharacteristic
258Q8×C4⋊C4C2211yescharacteristic
259#2349C2212yes—
260#2346C2212yes—
261#2335C2214yes—
262#2331C2214yes—
263#2331C2212yes—
264#2330C2212yes—
265#2326C2212yes—
266#2326C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2323C2212yes—
270#2319C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×#127C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#121C2212yes—
281#2298C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2290C2212yes—
292#2276C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#559—28no—
300Q82—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2314yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2314yes—
373C2×#117C2314yes—
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376#401C2312yes—
377#401C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#395C2314yes—
471#395C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2311yescharacteristic
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C22×D4C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2412yes—
835C4⋊Q8—28no—
836C4⋊Q8—216no—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—42no—
840#127—24no—
841#127—44no—
842#126—28no—
843#126—84no—
844#125—24no—
845#125—44no—
846#125—42no—
847#125—44no—
848#125—44no—
849#125—84no—
850#124—24no—
851#124—28no—
852#124—28no—
853#124—44no—
854#124—84no—
855#124—82no—
856#124—82no—
857#123—28no—
858#123—216no—
859#123—84no—
860#123—84no—
861C22⋊Q8—24no—
862C22⋊Q8—42no—
863C22⋊Q8—44no—
864C22⋊Q8—42no—
865C22⋊Q8—44no—
866C22⋊Q8—84no—
867C22⋊Q8—84no—
868C22⋊Q8—82no—
869#121—24no—
870#121—44no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—82no—
875#121—84no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—44no—
884C4×Q8—84no—
885C4×Q8—82no—
886C4×Q8#4118yes—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—82no—
898C4×D4—84no—
899#117—24no—
900#117—28no—
901#117—42no—
902#117—44no—
903#117—42no—
904#117—42no—
905#117—84no—
906#117—84no—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C42—24no—
1031C2×C42—44no—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2512yes—
1151C24C2514yes—
1152C24C2511yescharacteristic
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—28no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8C2×#4114yes—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—41no—
1213C22×C4—44no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4C2×#4114yes—
1322C4⋊C4C2×#4118yes—
1323C4⋊C42−1+414yes—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—28no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—22no—
1388C42—22no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—24no—
1394C42—42no—
1395C42—42no—
1396C42—42no—
1397C42—42no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—41no—
1402C42—44no—
1403C42—44no—
1404C42—42no—
1405C42—44no—
1406C42—42no—
1407C42—41no—
1408C42—44no—
1409C42—41no—
1410C42—41no—
1411C42—42no—
1412C42C2×#4114yes—
1413C42C2×#4118yes—
1414C23—22no—
1415C23—24no—
1416C23—21no—
1417C23—21no—
1418C23—22no—
1419C23—24no—
1420C23—21no—
1421C23—22no—
1422C23—24no—
1423C23—24no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—24no—
1428C23—22no—
1429C23—21no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—21no—
1435C23C2611yescharacteristic
1436Q8—28no—
1437Q8—44no—
1438Q8—44no—
1439Q8—88no—
1440Q8—84no—
1441D4—44no—
1442D4—48no—
1443D4—48no—
1444D4—84no—
1445D4—84no—
1446D4—88no—
1447D4—164no—
1448D4—164no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—48no—
1538C2×C4—88no—
1539C2×C4—82no—
1540C2×C4—84no—
1541C2×C4—88no—
1542C2×C4—84no—
1543C2×C4—164no—
1544C2×C4C22×#4114yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4114yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4112yes—
1549C2×C4C2×2−1+414yes—
1550C2×C4C2×2−1+412yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C2×C4#58512yes—
1554C22—42no—
1555C22—41no—
1556C22—44no—
1557C22—41no—
1558C22—44no—
1559C22—42no—
1560C22—41no—
1561C22—42no—
1562C22—44no—
1563C22—44no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—41no—
1572C22—42no—
1573C22—44no—
1574C22—41no—
1575C22C23×#4111yescharacteristic
1576C22C22×2−1+411yescharacteristic
1577C22C2×#58511yescharacteristic
1578C22C2×#58511yescharacteristic
1579C22C2×#58511yescharacteristic
1580C22H(7,𝔽2)11yescharacteristic
1581C22H(7,𝔽2)11yescharacteristic
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4—24no—
1586C4—41no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—42no—
1598C4—41no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—44no—
1605C4—41no—
1606C4—42no—
1607C4—41no—
1608C4—42no—
1609C4—41no—
1610C4—42no—
1611C4—44no—
1612C4#346114yes—
1613C4#352414yes—
1614C2—81no—
1615C2—82no—
1616C2—84no—
1617C2C2×#346111yescharacteristic
1618C2C2×#352411yescharacteristic
1619C2#6285811yescharacteristic
1620C2#6295111yescharacteristic
1621C2#6295211yescharacteristic
1622C2#6296611yescharacteristic
1623C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39137C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42899C2semidirect
2. #42897C2semidirect
3. #42588C2semidirect
4. #42569C2semidirect
5. #42274C2semidirect
6. #42097C2semidirect
7. #41298C2semidirect
8. #41283C2semidirect
9. #39272C2semidirect
10. #39258C2semidirect
11. #39183C2semidirect
12. #39168C2semidirect
14. #39125C2semidirect
15. #38289C2semidirect
16. #38272C2semidirect
17. #37637C2semidirect
18. #37627C2semidirect
19. #37625C2semidirect
20. #37579C2semidirect
21. #36477C2semidirect
22. #36463C2semidirect
23. #36302C2semidirect
24. #36287C2semidirect
25. #36058C2semidirect
26. #35968C2semidirect
27. #35963C2semidirect
28. #35897C2semidirect
29. #35300C2semidirect
30. #35288C2semidirect
31. #34629C2semidirect
32. #34619C2semidirect
33. #34335C2semidirect
34. #34331C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#428992
#428972
#425882
#425692
#422742
#420972
#412982
#412832
#392722
#392582
#391832
#391682
#391372
#391252
#382892
#382722
#376372
#376272
#376252
#375792
#364772
#364632
#363022
#362872
#360582
#359682
#359632
#358972
#353002
#352882
#346292
#346192
#343352
#343312
#341512