Finite Group Databasebeta

← #6970297

Subgroups — #6970297

Order 512.

2427 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36097C211yesmaximal, characteristic, complemented
2D4×#121C211yesmaximal, characteristic, complemented
3#32709C211yesmaximal, characteristic, complemented
4#32707C211yesmaximal, characteristic, complemented
5#31726C211yesmaximal, characteristic, complemented
6#31718C211yesmaximal, characteristic, complemented
7#31058C211yesmaximal, characteristic, complemented
8#31057C211yesmaximal, characteristic, complemented
9#31028C211yesmaximal, characteristic, complemented
10#31027C211yesmaximal, characteristic, complemented
11#31026C211yesmaximal, characteristic, complemented
12#31016C211yesmaximal, characteristic, complemented
13#29814C211yesmaximal, characteristic, complemented
14#29600C211yesmaximal, characteristic, complemented
15#29596C211yesmaximal, characteristic, complemented
16#29595C211yesmaximal, characteristic, complemented
17#29594C211yesmaximal, characteristic, complemented
18#26248C211yesmaximal, characteristic, complemented
19#26242C211yesmaximal, characteristic, complemented
20#25768C211yesmaximal, characteristic, complemented
21#25763C211yesmaximal, characteristic, complemented
22#24982C211yesmaximal, characteristic, complemented
23#24979C211yesmaximal, characteristic, complemented
24#24654C211yesmaximal, characteristic, complemented
25#24653C211yesmaximal, characteristic, complemented
26#24256C211yesmaximal, characteristic, complemented
27#24252C211yesmaximal, characteristic, complemented
28#23920C211yesmaximal, characteristic, complemented
29#23919C211yesmaximal, characteristic, complemented
30#23711C211yesmaximal, characteristic, complemented
31#21788C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic, complemented
33C2×D42—21no—
34C2×D42C2211yescharacteristic
35C2×#525C2211yescharacteristic, complemented
36C22×C22⋊Q8C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C2×#496C2211yescharacteristic, complemented
41C2×#481C2211yescharacteristic, complemented
42C2×#482C2211yescharacteristic, complemented
43C2×#483C2211yescharacteristic, complemented
44C2×#480C2211yescharacteristic, complemented
45C2×#460C2211yescharacteristic, complemented
46C2×#463C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic, complemented
50C2×#448C2211yescharacteristic, complemented
51C2×#448C2211yescharacteristic, complemented
52C2×#448C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic, complemented
54C2×#450C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic, complemented
56C2×#450C2211yescharacteristic, complemented
57C2×#447C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic, complemented
59C2×#440C2211yescharacteristic, complemented
60C2×#432C2211yescharacteristic, complemented
61C2×#431C2211yescharacteristic, complemented
62#2856C2211yescharacteristic
63#2850C2211yescharacteristic, complemented
64#2848C2211yescharacteristic, complemented
65#2847C2211yescharacteristic
66#2847C2211yescharacteristic
67#2847C2211yescharacteristic, complemented
68#2541C2211yescharacteristic
69#2540C2211yescharacteristic
70#2537C2211yescharacteristic
71#2536C2211yescharacteristic
72#2472—21no—
73#2463—21no—
74#2461—21no—
75#2449—21no—
76#2443—21no—
77#2428—21no—
78#2424—21no—
79#2424—21no—
80#2416—21no—
81#2416C2211yescharacteristic
82#2416C2211yescharacteristic
83#2416C2211yescharacteristic, complemented
84#2415C2211yescharacteristic, complemented
85#2410—21no—
86#2410—21no—
87#2410—21no—
88#2409C2211yescharacteristic, complemented
89#2408C2211yescharacteristic
90#2408C2211yescharacteristic
91#2407C2211yescharacteristic, complemented
92#2361—21no—
93#2358—21no—
94#2352C2211yescharacteristic, complemented
95D4×C4⋊C4C2211yescharacteristic
96D4×C22⋊C4—21no—
97C4×C22⋊Q8C2211yescharacteristic, complemented
98C4×#121C2211yescharacteristic
99#2086C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2076C2211yescharacteristic, complemented
104#2075C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2066C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2054C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2036C2211yescharacteristic, complemented
116#2036C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2035C2211yescharacteristic, complemented
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1983C2211yescharacteristic, complemented
156#1982C2211yescharacteristic, complemented
157#1970C2211yescharacteristic, complemented
158#1968C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1968C2211yescharacteristic, complemented
161#1961C2211yescharacteristic, complemented
162#1959C2211yescharacteristic, complemented
163#1955C2211yescharacteristic
164#1955C2211yescharacteristic
165#1955C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1954C2211yescharacteristic, complemented
169#1954C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1949C2211yescharacteristic, complemented
172#1948C2211yescharacteristic, complemented
173#1934C2211yescharacteristic, complemented
174#1934C2211yescharacteristic, complemented
175#1934C2211yescharacteristic, complemented
176#1933C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1872C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1836C2211yescharacteristic, complemented
186#1825C2211yescharacteristic, complemented
187#1824C2211yescharacteristic, complemented
188#1823C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1803C2211yescharacteristic, complemented
192#1788C2211yescharacteristic, complemented
193#1787C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1779C2211yescharacteristic, complemented
197#1779C2211yescharacteristic, complemented
198#1779C2211yescharacteristic, complemented
199#1779C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4D411yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222#548—42no—
223#548—42no—
224D42—42no—
225D42—42no—
226D42—48no—
227C2×#127—21no—
228C2×#127C2311yescharacteristic
229C2×#124—21no—
230C2×#124C2311yescharacteristic
231#525—42no—
232#525—42no—
233C2×#123—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—42no—
238C2×C22⋊Q8—42no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—42no—
259C2×#121—42no—
260C2×#121—42no—
261C2×#121—42no—
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×C4×Q8C2311yescharacteristic
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4—42no—
292C2×C4×D4—42no—
293C2×C4×D4D411yescharacteristic
294C2×C4×D4D411yescharacteristic
295C2×C4×D4D411yescharacteristic
296C2×C4×D4D411yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C22×C4⋊C4—21no—
304C22×C4⋊C4D411yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—21no—
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C22⋊C4D411yescharacteristic
312C22×C22⋊C4D411yescharacteristic
313C22×C42C2311yescharacteristic
314#496—42no—
315#483—42no—
316#482—42no—
317#481—42no—
318#480—42no—
319#463—42no—
320#460—42no—
321#450—42no—
322#450—42no—
323#450—42no—
324#450—42no—
325#449—42no—
326#449—42no—
327#449—42no—
328#448—42no—
329#448—42no—
330#448—42no—
331#447—42no—
332#447—42no—
333#440—42no—
334#432—42no—
335#431—42no—
336C2×#107C2311yescharacteristic
337C2×#107C2311yescharacteristic
338C2×#107C2311yescharacteristic
339C2×#106C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×C4⋊C8C2311yescharacteristic
344C2×C4⋊C8C2311yescharacteristic
345C2×C4⋊C8C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×#97C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×C4×C8C2311yescharacteristic
400C2×C4×C8C2311yescharacteristic
401#399—21no—
402#398—21no—
403#397—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#395—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#393—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#391C2311yescharacteristic
426#391C2311yescharacteristic
427#390—21no—
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#389—21no—
437#389—21no—
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#387—21no—
448#387—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#385—21no—
468#385—21no—
469#385—21no—
470#385—21no—
471#385—21no—
472#385—21no—
473#385—21no—
474#385—21no—
475#384C2311yescharacteristic
476#382C2311yescharacteristic
477#380—21no—
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#379—21no—
489#379—21no—
490#379—21no—
491C4×C4⋊C4—21no—
492C4×C4⋊C4C2311yescharacteristic
493C4×C4⋊C4C2311yescharacteristic
494C4×C22⋊C4—21no—
495C4×C22⋊C4—21no—
496C4×C22⋊C4—21no—
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515C25—21no—
516C25—21no—
517C25C2×D411yescharacteristic
518C25C2×D411yescharacteristic
519C2×#41—22no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C22×Q8—21no—
526C22×Q8—22no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8—41no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8C2411yescharacteristic
533C22×Q8C2411yescharacteristic
534C22×D4—21no—
535C22×D4—24no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—42no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—42no—
569C22×D4—44no—
570C22×D4—44no—
571C22×D4—44no—
572C22×D4—44no—
573C22×D4—44no—
574C22×D4—44no—
575C22×D4—44no—
576C22×D4—82no—
577C22×D4—82no—
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4—41no—
598C23×C4—41no—
599C23×C4—41no—
600C23×C4—41no—
601C23×C4—41no—
602C23×C4—41no—
603C23×C4—41no—
604C23×C4C2×D411yescharacteristic
605C23×C4C2×D411yescharacteristic
606C23×C4C2×D411yescharacteristic
607C23×C4C2×D411yescharacteristic
608C23×C4C2×D411yescharacteristic
609C23×C4C2×D411yescharacteristic
610C23×C4C2×D411yescharacteristic
611C23×C4C2×D411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—22no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×D8—22no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×D8—41no—
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652#127—22no—
653#127—22no—
654#127—44no—
655#124—22no—
656#124—22no—
657#124—44no—
658#123—44no—
659C22⋊Q8—22no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8—22no—
664C22⋊Q8—44no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672C22⋊Q8—44no—
673C22⋊Q8—44no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—44no—
684#121—44no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—44no—
708#121—44no—
709#121—44no—
710#121—44no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—41no—
715#121—41no—
716#121—41no—
717#121—82no—
718#120—44no—
719#120—44no—
720#120—44no—
721#120—44no—
722#120—44no—
723#120—44no—
724#120—44no—
725#120—44no—
726C4×Q8—22no—
727C4×Q8—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—42no—
735C4×D4—42no—
736C4×D4—42no—
737C4×D4—42no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—44no—
743C4×D4—44no—
744C4×D4—44no—
745C4×D4—44no—
746C4×D4—44no—
747#117—22no—
748#117—41no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4—41no—
770C2×C4⋊C4—41no—
771C2×C4⋊C4—44no—
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2×D411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—44no—
833C2×C22⋊C4—44no—
834C2×C22⋊C4—44no—
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C42—22no—
844C2×C42—22no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42C2×D411yescharacteristic
850C2×C42C2×D411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853#107—22no—
854#107—41no—
855#107—41no—
856#106—22no—
857#106—41no—
858#106—41no—
859#106—41no—
860C4⋊C8—22no—
861C4⋊C8—22no—
862C4⋊C8—41no—
863C4⋊C8—41no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—41no—
868#103—41no—
869#103—41no—
870#103—41no—
871#103—41no—
872#103—41no—
873#103—41no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C22⋊C8—41no—
906C22⋊C8—41no—
907C22⋊C8—41no—
908C22⋊C8—41no—
909C22⋊C8—41no—
910C22⋊C8—41no—
911C22⋊C8—41no—
912C22⋊C8—41no—
913C22⋊C8—41no—
914#97—22no—
915#97—22no—
916C4×C8—41no—
917C4×C8—41no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938C24—21no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—41no—
948C24—41no—
949C24—41no—
950C24—41no—
951C24—41no—
952C24—41no—
953C24—41no—
954C24—41no—
955C24—41no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24C22×D411yescharacteristic
971C24C22×D411yescharacteristic
972C24C22×D411yescharacteristic
973C24C22×D411yescharacteristic
974C24C22×D411yescharacteristic
975#41—82no—
976#41—82no—
977#41—82no—
978#41—82no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—42no—
991C2×Q8—42no—
992C2×Q8—81no—
993C2×Q8—82no—
994C2×Q8—82no—
995C2×Q8—82no—
996C2×Q8—82no—
997C2×Q8H(5,𝔽2)12yes—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—24no—
1001C2×D4—22no—
1002C2×D4—22no—
1003C2×D4—22no—
1004C2×D4—22no—
1005C2×D4—22no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—41no—
1030C2×D4—41no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—416no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—82no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—816no—
1102C2×D4—816no—
1103C2×D4—816no—
1104C2×D4AGL(1,ℤ/8)14yes—
1105C2×D4H(5,𝔽2)12yes—
1106C22×C4—22no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
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—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—81no—
1186C22×C4—82no—
1187C22×C4—82no—
1188C22×C4—82no—
1189C22×C4—82no—
1190C22×C4—82no—
1191C22×C4—82no—
1192C22×C4—82no—
1193C22×C4—82no—
1194C22×C4—81no—
1195C22×C4—81no—
1196C22×C4—81no—
1197C22×C4—81no—
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D411yescharacteristic
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C2511yescharacteristic
1208SD16—44no—
1209SD16—82no—
1210SD16—82no—
1211SD16—82no—
1212SD16—82no—
1213SD16—82no—
1214D8—82no—
1215D8—82no—
1216D8—82no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—81no—
1277C4⋊C4—81no—
1278C4⋊C4H(5,𝔽2)12yes—
1279C4⋊C4H(5,𝔽2)12yes—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C42—22no—
1333C42—22no—
1334C42—21no—
1335C42—21no—
1336C42—42no—
1337C42—42no—
1338C42—42no—
1339C42—81no—
1340C42H(5,𝔽2)12yes—
1341C42H(5,𝔽2)12yes—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—22no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23—82no—
1410C23—82no—
1411C23—82no—
1412C23—84no—
1413C23—84no—
1414C23—84no—
1415C23—84no—
1416C23—82no—
1417C23—82no—
1418C23—82no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—162no—
1424C23—162no—
1425C23—162no—
1426C23—162no—
1427C23—162no—
1428C23—162no—
1429C23C2×AGL(1,ℤ/8)12yes—
1430C23C2×AGL(1,ℤ/8)12yes—
1431C23#57512yes—
1432C23#57712yes—
1433C23C23×D411yescharacteristic
1434Q8—22no—
1435Q8—22no—
1436Q8—41no—
1437Q8—41no—
1438Q8—41no—
1439Q8—41no—
1440Q8—41no—
1441Q8—41no—
1442Q8—84no—
1443D4—28no—
1444D4—22no—
1445D4—22no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—48no—
1450D4—41no—
1451D4—41no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—84no—
1465D4—84no—
1466D4—84no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472D4—84no—
1473D4—84no—
1474D4—84no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—162no—
1480D4—162no—
1481D4—162no—
1482D4—162no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—84no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—84no—
1577C2×C4#53412yes—
1578C2×C4#53412yes—
1579C2×C4C2×AGL(1,ℤ/8)12yes—
1580C2×C4C2×H(5,𝔽2)11yescharacteristic
1581C2×C4C2×H(5,𝔽2)11yescharacteristic
1582C2×C4C2×H(5,𝔽2)11yescharacteristic
1583C2×C4C2×H(5,𝔽2)11yescharacteristic
1584C2×C4C2×H(5,𝔽2)11yescharacteristic
1585C2×C4C2×H(5,𝔽2)11yescharacteristic
1586C8—41no—
1587C8—41no—
1588C8—41no—
1589C8—41no—
1590C8—41no—
1591C8—41no—
1592C8—41no—
1593C8—41no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—88no—
1633C22—88no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—168no—
1660C22—168no—
1661C22C2×#53411yescharacteristic
1662C22#348411yescharacteristic
1663C22#348411yescharacteristic
1664C22C22×AGL(1,ℤ/8)11yescharacteristic
1665C22C2×#57511yescharacteristic
1666C22C2×#57711yescharacteristic
1667C22#358411yescharacteristic
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4—81no—
1684C4—81no—
1685C4—81no—
1686C4—81no—
1687C4—81no—
1688C4—81no—
1689C4#353711yescharacteristic
1690C4#354311yescharacteristic
1691C4#354311yescharacteristic
1692C4#354911yescharacteristic
1693C2—42no—
1694C2—42no—
1695C2—42no—
1696C2—42no—
1697C2—81no—
1698C2—82no—
1699C2—161no—
1700C2—161no—
1701C2—161no—
1702C2#4247511yescharacteristic
1703C2#6075011yescharacteristic
1704C2#6076911yescharacteristic
1705C2#6159411yescharacteristic
1706C2#6159711yescharacteristic
1707C2#6159811yescharacteristic
1708C2#6160011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36097C2semidirect
2. D4×#121C2semidirect
3. #32709C2semidirect
4. #32707C2semidirect
5. #31726C2semidirect
6. #31718C2semidirect
7. #31058C2semidirect
8. #31057C2semidirect
9. #31028C2semidirect
10. #31027C2semidirect
11. #31026C2semidirect
12. #31016C2semidirect
13. #29814C2semidirect
14. #29600C2semidirect
15. #29596C2semidirect
16. #29595C2semidirect
17. #29594C2semidirect
18. #26248C2semidirect
19. #26242C2semidirect
20. #25768C2semidirect
21. #25763C2semidirect
22. #24982C2semidirect
23. #24979C2semidirect
24. #24654C2semidirect
25. #24653C2semidirect
26. #24256C2semidirect
27. #24252C2semidirect
28. #23920C2semidirect
29. #23919C2semidirect
30. #23711C2semidirect
31. #21788C2semidirect
32. C2×#548C22semidirect
35. C2×#525C22semidirect
36. C22×C22⋊Q8C22semidirect
40. C2×#496C22semidirect
41. C2×#481C22semidirect
42. C2×#482C22semidirect
43. C2×#483C22semidirect
44. C2×#480C22semidirect
45. C2×#460C22semidirect
46. C2×#463C22semidirect
47. C2×#449C22semidirect
48. C2×#449C22semidirect
49. C2×#449C22semidirect
50. C2×#448C22semidirect
51. C2×#448C22semidirect
52. C2×#448C22semidirect
53. C2×#450C22semidirect
54. C2×#450C22semidirect
55. C2×#450C22semidirect
56. C2×#450C22semidirect
57. C2×#447C22semidirect
58. C2×#447C22semidirect
59. C2×#440C22semidirect
60. C2×#432C22semidirect
61. C2×#431C22semidirect
63. #2850C22semidirect
64. #2848C22semidirect
67. #2847C22semidirect
83. #2416C22semidirect
84. #2415C22semidirect
88. #2409C22semidirect
91. #2407C22semidirect
94. #2352C22semidirect
97. C4×C22⋊Q8C22semidirect
99. #2086C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2077C22semidirect
103. #2076C22semidirect
104. #2075C22semidirect
105. #2067C22semidirect
106. #2066C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
109. #2055C22semidirect
110. #2054C22semidirect
111. #2054C22semidirect
112. #2036C22semidirect
113. #2036C22semidirect
114. #2036C22semidirect
115. #2036C22semidirect
116. #2036C22semidirect
117. #2035C22semidirect
118. #2035C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1983C22semidirect
156. #1982C22semidirect
157. #1970C22semidirect
158. #1968C22semidirect
159. #1968C22semidirect
160. #1968C22semidirect
161. #1961C22semidirect
162. #1959C22semidirect
165. #1955C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1954C22semidirect
169. #1954C22semidirect
170. #1954C22semidirect
171. #1949C22semidirect
172. #1948C22semidirect
173. #1934C22semidirect
174. #1934C22semidirect
175. #1934C22semidirect
176. #1933C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1872C22semidirect
183. #1872C22semidirect
184. #1872C22semidirect
185. #1836C22semidirect
186. #1825C22semidirect
187. #1824C22semidirect
188. #1823C22semidirect
189. #1823C22semidirect
190. #1804C22semidirect
191. #1803C22semidirect
192. #1788C22semidirect
193. #1787C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1779C22semidirect
197. #1779C22semidirect
198. #1779C22semidirect
199. #1779C22semidirect
200. #1776C22semidirect
201. #1763C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#360972
D4×#1212
#327092
#327072
#317262
#317182
#310582
#310572
#310282
#310272
#310262
#310162
#298142
#296002
#295962
#295952
#295942
#262482
#262422
#257682
#257632
#249822
#249792
#246542
#246532
#242562
#242522
#239202
#239192
#237112
#217882