Finite Group Databasebeta

← #7715908

Subgroups — #7715908

Order 512.

7040 conjugacy classes of subgroups.

The subgroup lattice has 1585 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C212yesmaximal, complemented
2#49586C214yesmaximal, complemented
3#49583C214yesmaximal, complemented
4#47875C214yesmaximal, complemented
5#47870C214yesmaximal, complemented
6#44761C214yesmaximal, complemented
7#44758C214yesmaximal, complemented
8#44042C214yesmaximal, complemented
9#43974C214yesmaximal, complemented
10#39614C212yesmaximal, complemented
11#39610C212yesmaximal, complemented
12#37866C212yesmaximal, complemented
13#37861C212yesmaximal, complemented
14#37861C212yesmaximal, complemented
15#37860C212yesmaximal, complemented
16#36742C212yesmaximal, complemented
17#36740C212yesmaximal, complemented
18#36183C212yesmaximal, complemented
19#36153C212yesmaximal, complemented
20#35306C212yesmaximal, complemented
21#35167C211yesmaximal, characteristic, complemented
22#35051C211yesmaximal, characteristic, complemented
23#35004C211yesmaximal, characteristic, complemented
24#35003C211yesmaximal, characteristic, complemented
25#35002C211yesmaximal, characteristic, complemented
26C2×#2659C211yesmaximal, characteristic, complemented
27C2×#2359C211yesmaximal, characteristic, complemented
28#3535—232no—
29C2×#563C2214yes—
30C2×#562C2214yes—
31C2×#554C2214yes—
32C2×#552C2214yes—
33C2×#551C2214yes—
34C2×#551C2214yes—
35C2×#547C2214yes—
36C2×#547C2212yes—
37C2×#546C2214yes—
38C2×#544C2212yes—
39C2×#543C2212yes—
40C2×#542C2214yes—
41C2×#539C2214yes—
42C2×#539C2214yes—
43C2×#539C2212yes—
44C2×#538C2212yes—
45C2×#536C2214yes—
46C2×#536C2212yescomplemented
47C2×#525C2212yes—
48C22×#123C2211yescharacteristic
49C22×C22⋊Q8C2212yes—
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic
52#2857C2212yes—
53#2857C2212yes—
54#2857C2212yes—
55#2857C2212yes—
56#2854C2212yes—
57#2850C2212yes—
58#2850C2212yes—
59#2847C2212yes—
60#2847C2212yes—
61#2847C2212yes—
62#2726C2214yescomplemented
63#2722C2214yescomplemented
64#2722C2214yescomplemented
65#2721C2214yescomplemented
66#2720C2214yescomplemented
67#2719C2214yescomplemented
68#2718C2214yescomplemented
69#2717C2214yes—
70#2716C2214yescomplemented
71#2715C2214yescomplemented
72#2715C2214yescomplemented
73#2713C2214yescomplemented
74#2713C2214yescomplemented
75#2708C2214yes—
76#2706C2214yescomplemented
77#2704C2214yescomplemented
78#2704C2214yescomplemented
79#2700C2214yescomplemented
80#2698C2214yescomplemented
81#2698C2214yescomplemented
82#2695C2214yescomplemented
83#2695C2214yescomplemented
84#2694C2214yescomplemented
85#2692C2214yescomplemented
86#2690C2214yescomplemented
87#2689C2214yescomplemented
88#2687C2214yescomplemented
89#2686C2214yes—
90#2683C2214yescomplemented
91#2681C2214yescomplemented
92#2680C2214yescomplemented
93#2680C2214yescomplemented
94#2677C2214yescomplemented
95#2677C2214yescomplemented
96#2674C2214yescomplemented
97#2674C2214yescomplemented
98#2672C2214yescomplemented
99#2672C2214yescomplemented
100#2672C2214yescomplemented
101#2671C2214yes—
102#2659C2211yescharacteristic
103#2659C2212yes—
104#2659C2211yescharacteristic
105#2659C2212yes—
106#2659C2212yes—
107#2659C2211yescharacteristic
108#2659C2212yes—
109#2659C2212yes—
110#2659C2214yescomplemented
111#2659C2214yescomplemented
112#2656C2211yescharacteristic
113#2639C2212yes—
114#2621C2212yescomplemented
115#2621C2212yescomplemented
116#2620C2212yescomplemented
117#2620C2212yescomplemented
118#2618C2212yes—
119#2617C2212yes—
120#2564C2214yes—
121#2564C2214yes—
122#2564C2214yescomplemented
123#2556C2214yescomplemented
124#2555C2214yescomplemented
125#2554C2214yescomplemented
126#2553C2214yescomplemented
127#2553C2214yescomplemented
128#2552C2214yescomplemented
129#2551C2214yescomplemented
130#2550C2214yescomplemented
131#2550C2214yescomplemented
132#2549C2214yescomplemented
133#2549C2214yescomplemented
134#2547C2212yes—
135#2543C2214yescomplemented
136#2537C2212yes—
137#2521C2214yescomplemented
138#2521C2214yescomplemented
139#2519C2214yescomplemented
140#2501C2212yescomplemented
141#2498C2214yes—
142#2498C2214yes—
143#2498C2214yescomplemented
144#2496C2212yescomplemented
145#2496C2212yescomplemented
146#2491C2212yescomplemented
147#2488C2214yescomplemented
148#2486C2212yes—
149#2486C2212yes—
150#2478C2214yescomplemented
151#2474C2214yescomplemented
152#2473C2214yescomplemented
153#2468C2214yescomplemented
154#2465C2214yescomplemented
155#2464C2214yescomplemented
156#2462C2214yescomplemented
157#2461C2214yescomplemented
158#2461C2214yescomplemented
159#2451C2214yescomplemented
160#2449C2214yescomplemented
161#2449C2214yescomplemented
162#2449C2214yescomplemented
163#2443C2214yes—
164#2440C2214yescomplemented
165#2440C2214yescomplemented
166#2440C2212yescomplemented
167#2440C2214yescomplemented
168#2438C2214yescomplemented
169#2438C2214yescomplemented
170#2430C2214yes—
171#2430C2214yescomplemented
172#2429C2214yescomplemented
173#2427C2214yes—
174#2425C2214yes—
175#2425C2214yes—
176#2425C2214yescomplemented
177#2425C2214yescomplemented
178#2422C2212yescomplemented
179#2419C2214yes—
180#2417C2214yes—
181#2417C2214yes—
182#2417C2214yes—
183#2417C2214yes—
184#2417C2214yescomplemented
185#2416C2212yes—
186#2416C2212yes—
187#2415C2214yescomplemented
188#2415C2214yescomplemented
189#2413C2214yescomplemented
190#2413C2214yescomplemented
191#2413C2214yescomplemented
192#2413C2214yescomplemented
193#2412C2214yes—
194#2412C2214yes—
195#2412C2214yes—
196#2412C2214yes—
197#2406C2214yes—
198C2×#398C2214yescomplemented
199C2×#395C2214yescomplemented
200#2361C2212yescomplemented
201#2359C2214yes—
202#2359C2214yes—
203#2359C2214yes—
204#2359C2214yes—
205#2359C2214yescomplemented
206D4×C4⋊C4C2212yes—
207#2344C2212yescomplemented
208#2339C2214yes—
209#2325C2212yes—
210#2325C2212yes—
211#2325C2212yes—
212#2325C2212yes—
213#2317C2212yescomplemented
214#2316C2212yes—
215#2315C2212yes—
216#2311C2212yescomplemented
217#2310C2212yescomplemented
218C4×#121C2212yes—
219C4×#121C2212yes—
220C2×#389C2211yescharacteristic
221C2×#388C2211yescharacteristic
222C2×#388C2211yescharacteristic
223C2×#387C2211yescharacteristic
224C2×#387C2211yescharacteristic
225C2×#386C2211yescharacteristic
226C2×#385C2211yescharacteristic
227C2×#385C2211yescharacteristic
228#2285C2212yes—
229C2×#380C2212yes—
230C2×#380C2212yes—
231C2×#380C2212yes—
232C2×C4×C4⋊C4C2211yescharacteristic
233C2×C4×C22⋊C4C2211yescharacteristic
234C2×C4×C22⋊C4C2211yescharacteristic
235C22×#95C2211yescharacteristic
236C22×#41C2312yes—
237C22×#41C2314yes—
238C23×Q8C2312yes—
239C23×D4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244#563—232no—
245#562—232no—
246#554—232no—
247#552—232no—
248#551—232no—
249#551—232no—
250#547—232no—
251#547—48no—
252#546—232no—
253#544—216no—
254#543—216no—
255#542—232no—
256#539—232no—
257#539—232no—
258#539—216no—
259#538—216no—
260#536—232no—
261#536—48no—
262C2×C4⋊Q8C2314yes—
263C2×C4⋊Q8C2314yes—
264C2×C4⋊Q8C2314yes—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×#126C2314yes—
270C2×#126C2314yes—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#126C2314yes—
274C2×#126C2314yes—
275C2×#125C2314yes—
276C2×#125C2314yes—
277C2×#125C2314yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280C2×#124C2314yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286#525—216no—
287C2×#123D4116yescomplemented
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×C22⋊Q8—216no—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×C4×Q8C2314yes—
346C2×C4×D4—44no—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×#117—44no—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2314yes—
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#392C2314yes—
487#392C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#384C2312yes—
609#384C2312yes—
610#384C2312yes—
611#384C2312yes—
612#384C2312yes—
613#384C2312yes—
614#382C2312yes—
615#382C2312yes—
616#382C2314yes—
617#381C2314yes—
618#381C2314yes—
619#381C2314yes—
620#381C2314yes—
621#380C2314yes—
622#380C2314yes—
623#380C2314yes—
624#380C2312yes—
625#380C2312yes—
626#380C2314yes—
627#380C2314yes—
628#380C2312yes—
629#380C2312yes—
630#380C2312yes—
631#380C2312yes—
632#380C2314yes—
633#380C2312yes—
634#380C2312yes—
635#380C2312yes—
636#380C2312yes—
637#380C2314yes—
638#380C2314yes—
639#380C2312yes—
640#380C2312yes—
641#380C2314yes—
642#380C2314yes—
643#380C2312yes—
644#380C2314yes—
645#380C2312yes—
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2314yes—
650#380C2314yes—
651#380C2312yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2312yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2314yes—
656C4×C4⋊C4C2314yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2312yes—
659C4×C22⋊C4C2314yes—
660C4×C22⋊C4C2312yes—
661C4×C22⋊C4C2312yes—
662C4×C22⋊C4C2312yes—
663C4×C22⋊C4C2314yes—
664C4×C22⋊C4C2314yes—
665C4×C22⋊C4C2312yes—
666C4×C22⋊C4C2314yes—
667C2×#95C2311yescharacteristic
668C2×#95C2311yescharacteristic
669C2×#95C2314yes—
670C2×#95C2311yescharacteristic
671C2×#95C2311yescharacteristic
672C2×#95C2311yescharacteristic
673C2×#95C2311yescharacteristic
674C2×#95C2314yes—
675C2×#95C2314yes—
676C2×#95C2314yes—
677C2×#95C2314yes—
678C2×#95C2311yescharacteristic
679C2×#95C2311yescharacteristic
680C2×#95C2311yescharacteristic
681C2×#95C2311yescharacteristic
682C25C2411yescharacteristic
683C25C2411yescharacteristic
684C2×#41—216no—
685C2×#41—28no—
686C2×#41—44no—
687C2×#41—48no—
688C2×#41—44no—
689C2×#41—48no—
690C22×Q8—28no—
691C22×Q8—44no—
692C22×Q8—44no—
693C22×Q8C2414yes—
694C22×Q8C2414yes—
695C22×Q8C2412yes—
696C22×Q8C2412yes—
697C22×Q8C2414yes—
698C22×Q8C2412yes—
699C22×D4—42no—
700C22×D4—42no—
701C22×D4C2×D418yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2412yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2412yes—
708C22×D4C2412yes—
709C22×D4C2414yes—
710C22×D4C2412yes—
711C22×D4C2412yes—
712C23×C4—24no—
713C23×C4—24no—
714C23×C4—24no—
715C23×C4—42no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—42no—
719C23×C4—42no—
720C23×C4—81no—
721C23×C4—81no—
722C23×C4—81no—
723C23×C4C2×D418yes—
724C23×C4C2414yes—
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2412yes—
728C23×C4C2412yes—
729C23×C4C2412yes—
730C23×C4C2411yescharacteristic
731C23×C4C2412yes—
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2414yes—
735C23×C4C2411yescharacteristic
736C23×C4C2414yes—
737C23×C4C2414yes—
738C23×C4C2411yescharacteristic
739C23×C4C2414yes—
740C23×C4C2414yes—
741C23×C4C2414yes—
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C4⋊Q8—216no—
753C4⋊Q8—216no—
754C4⋊Q8—216no—
755C4⋊Q8—44no—
756C4⋊Q8—44no—
757C4⋊Q8—44no—
758C4⋊Q8—82no—
759#126—216no—
760#126—216no—
761#126—216no—
762#126—216no—
763#126—216no—
764#126—216no—
765#125—216no—
766#125—216no—
767#125—216no—
768#125—216no—
769#125—216no—
770#124—216no—
771#124—216no—
772#124—216no—
773#124—216no—
774#124—44no—
775#124—44no—
776#123—216no—
777#123—216no—
778#123—216no—
779#123—216no—
780#123—216no—
781#123—216no—
782#123—216no—
783#123—216no—
784#123—216no—
785#123—216no—
786#123—216no—
787#123—48no—
788#123—48no—
789#123—84no—
790#123C2×D4132yes—
791#123C2×D4132yes—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—28no—
796C22⋊Q8—216no—
797C22⋊Q8—216no—
798C22⋊Q8—28no—
799C22⋊Q8—28no—
800C22⋊Q8—216no—
801C22⋊Q8—216no—
802C22⋊Q8—216no—
803C22⋊Q8—216no—
804C22⋊Q8—216no—
805C22⋊Q8—216no—
806C22⋊Q8—216no—
807C22⋊Q8—216no—
808C22⋊Q8—216no—
809C22⋊Q8—216no—
810C22⋊Q8—216no—
811C22⋊Q8—216no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—84no—
816#121—216no—
817#121—216no—
818#121—216no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—216no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—82no—
828#121—82no—
829#121—82no—
830#120—216no—
831#120—216no—
832C4×Q8—216no—
833C4×D4—216no—
834C4×D4—216no—
835C4×D4—216no—
836C4×D4—216no—
837C4×D4—216no—
838C4×D4—216no—
839C4×D4—216no—
840C4×D4—28no—
841C4×D4—44no—
842C4×D4—44no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4—82no—
846#117—28no—
847#117—216no—
848#117—216no—
849#117—216no—
850#117—28no—
851#117—44no—
852#117—44no—
853#117—44no—
854C2×C4⋊C4—28no—
855C2×C4⋊C4—216no—
856C2×C4⋊C4—24no—
857C2×C4⋊C4—216no—
858C2×C4⋊C4—42no—
859C2×C4⋊C4—42no—
860C2×C4⋊C4—42no—
861C2×C4⋊C4—44no—
862C2×C4⋊C4—44no—
863C2×C4⋊C4—44no—
864C2×C4⋊C4—82no—
865C2×C4⋊C4—82no—
866C2×C4⋊C4—82no—
867C2×C4⋊C4—81no—
868C2×C4⋊C4C2×D418yes—
869C2×C4⋊C4C2×D418yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C22⋊C4—216no—
930C2×C22⋊C4—216no—
931C2×C22⋊C4—24no—
932C2×C22⋊C4—24no—
933C2×C22⋊C4—42no—
934C2×C22⋊C4—42no—
935C2×C22⋊C4—81no—
936C2×C22⋊C4C2×D418yes—
937C2×C22⋊C4C2×D418yes—
938C2×C22⋊C4C2×D418yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2411yescharacteristic
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C42—24no—
985C2×C42—42no—
986C2×C42—42no—
987C2×C42—42no—
988C2×C42—81no—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2414yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—41no—
1053C24—41no—
1054C24—41no—
1055C24—41no—
1056C24—41no—
1057C24—41no—
1058C24C22×D414yes—
1059C24C22×D414yes—
1060C24C2514yes—
1061C24C2511yescharacteristic
1062C24C2512yes—
1063C24C2511yescharacteristic
1064C24C2511yescharacteristic
1065#41—816no—
1066#41—832no—
1067C2×Q8—28no—
1068C2×Q8—24no—
1069C2×Q8—28no—
1070C2×Q8—24no—
1071C2×Q8—24no—
1072C2×Q8—28no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—44no—
1076C2×Q8—42no—
1077C2×Q8—42no—
1078C2×Q8—42no—
1079C2×Q8—44no—
1080C2×Q8—42no—
1081C2×Q8—42no—
1082C2×Q8—44no—
1083C2×Q8—42no—
1084C2×Q8—44no—
1085C2×Q8—816no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—44no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—42no—
1113C2×D4—44no—
1114C2×D4—416no—
1115C2×D4C22×D418yes—
1116C2×D4C22×D418yes—
1117C22×C4—24no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—24no—
1121C22×C4—28no—
1122C22×C4—24no—
1123C22×C4—28no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—24no—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—28no—
1130C22×C4—28no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—28no—
1142C22×C4—28no—
1143C22×C4—28no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—416no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—44no—
1187C22×C4—41no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—88no—
1194C22×C4—88no—
1195C22×C4—88no—
1196C22×C4C22×D414yes—
1197C22×C4C22×D418yes—
1198C22×C4C22×D414yes—
1199C22×C4C22×D414yes—
1200C22×C4C22×D414yes—
1201C22×C4C22×D414yes—
1202C22×C4C22×D418yes—
1203C22×C42−1+414yes—
1204C22×C42−1+414yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2514yes—
1214C22×C4C2514yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4C22×D4116yes—
1285C4⋊C4C22×D4116yes—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—22no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4C22×D418yes—
1327C22⋊C4C22×D4116yes—
1328C22⋊C4C22×D4116yes—
1329C22⋊C4C22×D418yes—
1330C22⋊C4H(5,𝔽2)14yes—
1331C42—28no—
1332C42—28no—
1333C42—28no—
1334C42—28no—
1335C42—28no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—42no—
1342C42—42no—
1343C42—42no—
1344C42—42no—
1345C42—42no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—22no—
1362C23—22no—
1363C23—21no—
1364C23—22no—
1365C23—21no—
1366C23—28no—
1367C23—28no—
1368C23—28no—
1369C23—24no—
1370C23—24no—
1371C23—24no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—24no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—82no—
1384C23—82no—
1385C23—82no—
1386C23—82no—
1387C23C23×D412yes—
1388C23C23×D414yes—
1389C23C23×D412yes—
1390C23C23×D412yes—
1391C23C2×H(5,𝔽2)12yes—
1392C23C2×2−1+412yes—
1393C23C2×2−1+412yes—
1394C23#58512yes—
1395C23C2611yescharacteristic
1396Q8—88no—
1397Q8—88no—
1398Q8—84no—
1399Q8—84no—
1400Q8—84no—
1401Q8—88no—
1402D4—216no—
1403D4—48no—
1404D4—416no—
1405D4—416no—
1406D4—84no—
1407D4—84no—
1408D4—84no—
1409D4—88no—
1410D4—88no—
1411D4—88no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—216no—
1431C2×C4—28no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—44no—
1472C2×C4—48no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—48no—
1479C2×C4—44no—
1480C2×C4—48no—
1481C2×C4—44no—
1482C2×C4—48no—
1483C2×C4—416no—
1484C2×C4—88no—
1485C2×C4—84no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—88no—
1491C2×C4—88no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—82no—
1496C2×C4—88no—
1497C2×C4C23×D414yes—
1498C2×C4C23×D414yes—
1499C2×C4C23×D414yes—
1500C2×C4C23×D414yes—
1501C2×C4C23×D414yes—
1502C2×C4C2×H(5,𝔽2)12yes—
1503C2×C4C2×H(5,𝔽2)12yes—
1504C2×C4C2×2−1+414yes—
1505C2×C4C2×2−1+414yes—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—24no—
1520C22—22no—
1521C22—24no—
1522C22—24no—
1523C22—22no—
1524C22—416no—
1525C22—42no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—42no—
1533C22—44no—
1534C22—44no—
1535C22—44no—
1536C22—44no—
1537C22—44no—
1538C22—44no—
1539C22—44no—
1540C22—88no—
1541C22#349614yes—
1542C22#349914yes—
1543C22C24×D411yescharacteristic
1544C22C22×H(5,𝔽2)11yescharacteristic
1545C22C22×2−1+411yescharacteristic
1546C22C22×2−1+411yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22H(7,𝔽2)11yescharacteristic
1549C222−1+611yescharacteristic
1550C4—24no—
1551C4—24no—
1552C4—24no—
1553C4—24no—
1554C4—24no—
1555C4—24no—
1556C4—22no—
1557C4—24no—
1558C4—22no—
1559C4—44no—
1560C4—44no—
1561C4—44no—
1562C4—44no—
1563C4—44no—
1564C4—44no—
1565C4—44no—
1566C4—41no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C2—24no—
1573C2—24no—
1574C2—42no—
1575C2—44no—
1576C2—84no—
1577C2C2×#349611yescharacteristic
1578C2C2×#349911yescharacteristic
1579C2#6285311yescharacteristic
1580C2#6289411yescharacteristic
1581C2#6290311yescharacteristic
1582C2#6291511yescharacteristic
1583C2#6292811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3535C2semidirect
2. #49586C2semidirect
3. #49583C2semidirect
4. #47875C2semidirect
5. #47870C2semidirect
6. #44761C2semidirect
7. #44758C2semidirect
8. #44042C2semidirect
9. #43974C2semidirect
10. #39614C2semidirect
11. #39610C2semidirect
12. #37866C2semidirect
13. #37861C2semidirect
14. #37861C2semidirect
15. #37860C2semidirect
16. #36742C2semidirect
17. #36740C2semidirect
18. #36183C2semidirect
19. #36153C2semidirect
20. #35306C2semidirect
21. #35167C2semidirect
22. #35051C2semidirect
23. #35004C2semidirect
24. #35003C2semidirect
25. #35002C2semidirect
26. C2×#2659C2semidirect
27. C2×#2359C2semidirect
46. C2×#536C22semidirect
62. #2726C22semidirect
63. #2722C22semidirect
64. #2722C22semidirect
65. #2721C22semidirect
66. #2720C22semidirect
67. #2719C22semidirect
68. #2718C22semidirect
70. #2716C22semidirect
71. #2715C22semidirect
72. #2715C22semidirect
73. #2713C22semidirect
74. #2713C22semidirect
76. #2706C22semidirect
77. #2704C22semidirect
78. #2704C22semidirect
79. #2700C22semidirect
80. #2698C22semidirect
81. #2698C22semidirect
82. #2695C22semidirect
83. #2695C22semidirect
84. #2694C22semidirect
85. #2692C22semidirect
86. #2690C22semidirect
87. #2689C22semidirect
88. #2687C22semidirect
90. #2683C22semidirect
91. #2681C22semidirect
92. #2680C22semidirect
93. #2680C22semidirect
94. #2677C22semidirect
95. #2677C22semidirect
96. #2674C22semidirect
97. #2674C22semidirect
98. #2672C22semidirect
99. #2672C22semidirect
100. #2672C22semidirect
110. #2659C22semidirect
111. #2659C22semidirect
114. #2621C22semidirect
115. #2621C22semidirect
116. #2620C22semidirect
117. #2620C22semidirect
122. #2564C22semidirect
123. #2556C22semidirect
124. #2555C22semidirect
125. #2554C22semidirect
126. #2553C22semidirect
127. #2553C22semidirect
128. #2552C22semidirect
129. #2551C22semidirect
130. #2550C22semidirect
131. #2550C22semidirect
132. #2549C22semidirect
133. #2549C22semidirect
135. #2543C22semidirect
137. #2521C22semidirect
138. #2521C22semidirect
139. #2519C22semidirect
140. #2501C22semidirect
143. #2498C22semidirect
144. #2496C22semidirect
145. #2496C22semidirect
146. #2491C22semidirect
147. #2488C22semidirect
150. #2478C22semidirect
151. #2474C22semidirect
152. #2473C22semidirect
153. #2468C22semidirect
154. #2465C22semidirect
155. #2464C22semidirect
156. #2462C22semidirect
157. #2461C22semidirect
158. #2461C22semidirect
159. #2451C22semidirect
160. #2449C22semidirect
161. #2449C22semidirect
162. #2449C22semidirect
164. #2440C22semidirect
165. #2440C22semidirect
166. #2440C22semidirect
167. #2440C22semidirect
168. #2438C22semidirect
169. #2438C22semidirect
171. #2430C22semidirect
172. #2429C22semidirect
176. #2425C22semidirect
177. #2425C22semidirect
178. #2422C22semidirect
184. #2417C22semidirect
187. #2415C22semidirect
188. #2415C22semidirect
189. #2413C22semidirect
190. #2413C22semidirect
191. #2413C22semidirect
192. #2413C22semidirect
198. C2×#398C22semidirect
199. C2×#395C22semidirect
200. #2361C22semidirect
205. #2359C22semidirect
207. #2344C22semidirect
213. #2317C22semidirect
216. #2311C22semidirect
217. #2310C22semidirect
287. C2×#123D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35352
#495862
#495832
#478752
#478702
#447612
#447582
#440422
#439742
#396142
#396102
#378662
#378612
#378602
#367422
#367402
#361832
#361532
#353062
#351672
#350512
#350042
#350032
#350022
C2×#26592
C2×#23592