Finite Group Databasebeta

← #15644224

Subgroups — #15644224

Order 2816.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082417C211yesmaximal, characteristic, complemented
2#13081570C211yesmaximal, characteristic, complemented
3#13081570C211yesmaximal, characteristic, complemented
4#13081555C211yesmaximal, characteristic, complemented
5#13081555C211yesmaximal, characteristic, complemented
6#13081533C211yesmaximal, characteristic, complemented
7#13081515C211yesmaximal, characteristic, complemented
8#13081487C211yesmaximal, characteristic, complemented
9#13081479C211yesmaximal, characteristic, complemented
10#13081437C211yesmaximal, characteristic, complemented
11#13081437C211yesmaximal, characteristic, complemented
12#13081404C211yesmaximal, characteristic, complemented
13#13081363C211yesmaximal, characteristic, complemented
14#13081363C211yesmaximal, characteristic, complemented
15#13081330C211yesmaximal, characteristic, complemented
16#13081272C211yesmaximal, characteristic, complemented
17#13081261C211yesmaximal, characteristic, complemented
18#13079908C211yesmaximal, characteristic, complemented
19#13079893C211yesmaximal, characteristic, complemented
20#13079878C211yesmaximal, characteristic, complemented
21#13079863C211yesmaximal, characteristic, complemented
22#13079852C211yesmaximal, characteristic, complemented
23#13079791C211yesmaximal, characteristic, complemented
24#13078863C211yesmaximal, characteristic, complemented
25#13078854C211yesmaximal, characteristic
26#13078794C211yesmaximal, characteristic, complemented
27#13078794C211yesmaximal, characteristic, complemented
28#13078750C211yesmaximal, characteristic, complemented
29#13078659C211yesmaximal, characteristic, complemented
30#13077711C211yesmaximal, characteristic, complemented
31C11×#3557C211yesmaximal, characteristic, complemented
32C11×#563—21no—
33C11×#563—21no—
34C11×#559C2211yescharacteristic, complemented
35C11×#559C2211yescharacteristic, complemented
36C11×#557C2211yescharacteristic, complemented
37C11×#557C2211yescharacteristic, complemented
38C11×#556C2211yescharacteristic, complemented
39C11×#556C2211yescharacteristic, complemented
40C11×#554C2211yescharacteristic, complemented
41C11×#554C2211yescharacteristic, complemented
42C11×#552—21no—
43C11×#552—21no—
44C11×#542—21no—
45C11×#542—21no—
46C11×#542C2211yescharacteristic
47C11×#542C2211yescharacteristic
48C11×#541C2211yescharacteristic
49C11×#540C2211yescharacteristic
50C11×#539—21no—
51C11×#539—21no—
52C11×#533C2211yescharacteristic
53C11×#529C2211yescharacteristic
54C11×#529C2211yescharacteristic
55#10623261—21no—
56#10623258—21no—
57#10623221—21no—
58#10623221—21no—
59#10623165—21no—
60#10623165—21no—
61D11×C22⋊Q8—21no—
62D11×C22⋊Q8—21no—
63#10623110C2211yescharacteristic
64#10623110C2211yescharacteristic
65#10623110C2211yescharacteristic
66#10623110C2211yescharacteristic
67#10623110C2211yescharacteristic
68#10623110C2211yescharacteristic
69Q8×D44C2211yescharacteristic
70Q8×D44C2211yescharacteristic
71#10623052C2211yescharacteristic
72#10623052C2211yescharacteristic
73#10623050C2211yescharacteristic
74#10623050C2211yescharacteristic
75C2×C4×D44C2211yescharacteristic
76#10623001C2211yescharacteristic
77#10622700C2211yescharacteristic
78#10622700C2211yescharacteristic
79#10622697C2211yescharacteristic
80#10622697C2211yescharacteristic
81#10622696C2211yescharacteristic
82#10622696C2211yescharacteristic
83#10622695C2211yescharacteristic, complemented
84#10622694C2211yescharacteristic, complemented
85#10622693C2211yescharacteristic, complemented
86#10622693C2211yescharacteristic, complemented
87#10622692C2211yescharacteristic, complemented
88#10622691C2211yescharacteristic, complemented
89#10622685C2211yescharacteristic
90#10622685C2211yescharacteristic
91#10622684C2211yescharacteristic, complemented
92#10622683C2211yescharacteristic, complemented
93#10622679C2211yescharacteristic
94#10622679C2211yescharacteristic
95#10622679C2211yescharacteristic
96#10622679C2211yescharacteristic
97#10622679C2211yescharacteristic
98#10622679C2211yescharacteristic
99#10622679C2211yescharacteristic
100#10622679C2211yescharacteristic
101#10622678C2211yescharacteristic, complemented
102#10622678C2211yescharacteristic, complemented
103#10622678C2211yescharacteristic, complemented
104#10622678C2211yescharacteristic, complemented
105#10622677C2211yescharacteristic, complemented
106#10622677C2211yescharacteristic, complemented
107#10622677C2211yescharacteristic, complemented
108#10622677C2211yescharacteristic, complemented
109#10622670C2211yescharacteristic
110#10622670C2211yescharacteristic
111#10622670C2211yescharacteristic
112#10622670C2211yescharacteristic
113#10622670C2211yescharacteristic
114#10622670C2211yescharacteristic
115#10622670C2211yescharacteristic
116#10622670C2211yescharacteristic
117#10622669C2211yescharacteristic, complemented
118#10622669C2211yescharacteristic, complemented
119#10622669C2211yescharacteristic, complemented
120#10622669C2211yescharacteristic, complemented
121#10622668C2211yescharacteristic, complemented
122#10622668C2211yescharacteristic, complemented
123#10622668C2211yescharacteristic, complemented
124#10622668C2211yescharacteristic, complemented
125#10622659C2211yescharacteristic
126#10622659C2211yescharacteristic
127#10622658C2211yescharacteristic
128#10622658C2211yescharacteristic
129#10622658C2211yescharacteristic
130#10622658C2211yescharacteristic
131#10622657C2211yescharacteristic
132#10622656C2211yescharacteristic
133#10622649C2211yescharacteristic
134#10622649C2211yescharacteristic
135#10622648C2211yescharacteristic
136#10622648C2211yescharacteristic
137#10622648C2211yescharacteristic
138#10622648C2211yescharacteristic
139#10622647C2211yescharacteristic
140#10622646C2211yescharacteristic
141#10622639C2211yescharacteristic
142#10622639C2211yescharacteristic
143#10622639C2211yescharacteristic
144#10622639C2211yescharacteristic
145#10622639C2211yescharacteristic
146#10622639C2211yescharacteristic
147C4×#4325C2211yescharacteristic
148C4×#4325C2211yescharacteristic
149C4×#4325C2211yescharacteristic
150C4×#4325C2211yescharacteristic
151C4×#4325C2211yescharacteristic
152C4×#4325C2211yescharacteristic
153#10622637C2211yescharacteristic, complemented
154#10622637C2211yescharacteristic, complemented
155#10622637C2211yescharacteristic, complemented
156#10622637C2211yescharacteristic, complemented
157#10622637C2211yescharacteristic, complemented
158#10622637C2211yescharacteristic, complemented
159Q8×C11⋊C8C2211yescharacteristic, complemented
160Q8×C11⋊C8C2211yescharacteristic, complemented
161#10622635C2211yescharacteristic, complemented
162#10622635C2211yescharacteristic, complemented
163#10622635C2211yescharacteristic, complemented
164#10622635C2211yescharacteristic, complemented
165#10622635C2211yescharacteristic, complemented
166#10622635C2211yescharacteristic, complemented
167#10622634C2211yescharacteristic, complemented
168#10622634C2211yescharacteristic, complemented
169#10622634C2211yescharacteristic, complemented
170#10622633C2211yescharacteristic, complemented
171#10622633C2211yescharacteristic, complemented
172#10622633C2211yescharacteristic, complemented
173#10622627C2211yescharacteristic
174#10622627C2211yescharacteristic
175#10622627C2211yescharacteristic
176#10622627C2211yescharacteristic
177#10622627C2211yescharacteristic
178#10622627C2211yescharacteristic
179C4×#4323C2211yescharacteristic
180C4×#4323C2211yescharacteristic
181C4×#4323C2211yescharacteristic
182C4×#4323C2211yescharacteristic
183C4×#4323C2211yescharacteristic
184C4×#4323C2211yescharacteristic
185#10622622C2211yescharacteristic, complemented
186#10622622C2211yescharacteristic, complemented
187#10622622C2211yescharacteristic, complemented
188#10622622C2211yescharacteristic, complemented
189#10622622C2211yescharacteristic, complemented
190#10622622C2211yescharacteristic, complemented
191#10622621C2211yescharacteristic, complemented
192#10622621C2211yescharacteristic, complemented
193#10622621C2211yescharacteristic, complemented
194#10622620C2211yescharacteristic, complemented
195#10622620C2211yescharacteristic, complemented
196#10622620C2211yescharacteristic, complemented
197#10622613C2211yescharacteristic
198#10622613C2211yescharacteristic
199#10622613C2211yescharacteristic
200#10622613C2211yescharacteristic
201#10622539C2211yescharacteristic
202#10622538C2211yescharacteristic
203C2×Q8×D11—21no—
204C2×Q8×D11—21no—
205C22×D44C2311yescharacteristic
206C22×C4×D11—21no—
207C11×C4⋊Q8—21no—
208C11×C4⋊Q8—21no—
209C11×C4⋊Q8D411yescharacteristic
210C11×C4⋊Q8D411yescharacteristic
211C11×C4⋊Q8C2311yescharacteristic
212C11×C4⋊Q8C2311yescharacteristic
213C11×C4⋊Q8C2311yescharacteristic
214C11×#127C2311yescharacteristic
215C11×#126—21no—
216C11×#126—21no—
217C11×#126—21no—
218C11×#126—21no—
219C11×#126—21no—
220C11×#126—21no—
221C11×#126—21no—
222C11×#126—21no—
223C11×#126—21no—
224C11×#126—21no—
225C11×#125—21no—
226C11×#125—21no—
227C11×#125—21no—
228C11×#125—21no—
229C11×#125—21no—
230C11×#125—21no—
231C11×#125D411yescharacteristic
232C11×#125D411yescharacteristic
233C11×#125C2311yescharacteristic
234C11×#125C2311yescharacteristic
235C11×#125C2311yescharacteristic
236C11×#125C2311yescharacteristic
237C11×#124—21no—
238C11×#124—21no—
239C11×#124—21no—
240C11×#124—21no—
241C11×#124C2311yescharacteristic
242C11×#124C2311yescharacteristic
243C11×#124C2311yescharacteristic
244C11×#124C2311yescharacteristic
245C11×#123—21no—
246C11×#123—21no—
247C11×#123—21no—
248C11×#123—21no—
249C11×#123—21no—
250C11×#123—21no—
251C11×#123—21no—
252C11×#123—21no—
253C11×#123—21no—
254C11×#123—21no—
255C11×C22⋊Q8—21no—
256C11×C22⋊Q8—21no—
257C11×C22⋊Q8—21no—
258C11×C22⋊Q8—21no—
259C11×C22⋊Q8—21no—
260C11×C22⋊Q8—21no—
261C11×C22⋊Q8—21no—
262C11×C22⋊Q8—21no—
263C11×C22⋊Q8—21no—
264C11×C22⋊Q8—21no—
265C11×C22⋊Q8D411yescharacteristic
266C11×C22⋊Q8D411yescharacteristic
267C11×C22⋊Q8D411yescharacteristic
268C11×C22⋊Q8D411yescharacteristic
269C11×C22⋊Q8C2311yescharacteristic
270C11×C22⋊Q8C2311yescharacteristic
271C11×#121—21no—
272C11×#121—21no—
273C11×#121C2311yescharacteristic
274C11×#121C2311yescharacteristic
275C4×Q8×C11—21no—
276C4×Q8×C11—21no—
277C4×Q8×C11C2311yescharacteristic
278C4×Q8×C11C2311yescharacteristic
279C4×Q8×C11C2311yescharacteristic
280C4×Q8×C11C2311yescharacteristic
281C4×Q8×C11C2311yescharacteristic
282C4×Q8×C11C2311yescharacteristic
283C4×Q8×C11C2311yescharacteristic
284C4×Q8×C11C2311yescharacteristic
285C4×Q8×C11C2311yescharacteristic
286C4×Q8×C11C2311yescharacteristic
287C4×D4×C11—21no—
288C4×D4×C11—21no—
289C4×D4×C11—21no—
290C4×D4×C11—21no—
291C4×D4×C11C2311yescharacteristic
292C4×D4×C11C2311yescharacteristic
293C4×D4×C11C2311yescharacteristic
294C4×D4×C11C2311yescharacteristic
295C4×D4×C11C2311yescharacteristic
296C4×D4×C11C2311yescharacteristic
297C11×#117—21no—
298C11×#117—21no—
299C11×#117—21no—
300C11×#117—21no—
301C11×#117C2311yescharacteristic
302C11×#117C2311yescharacteristic
303C2×C11×C4⋊C4—21no—
304C2×C11×C4⋊C4—21no—
305C2×C42×C11C2311yescharacteristic
306#66999—21no—
307#66999—21no—
308#66999—21no—
309#66999—21no—
310#66999—21no—
311#66999—21no—
312C2×#4325C2311yescharacteristic
313C2×#4325C2311yescharacteristic
314C2×#4325C2311yescharacteristic
315C2×#4325C2311yescharacteristic
316C2×#4323C2311yescharacteristic
317C2×#4323C2311yescharacteristic
318C2×#4323C2311yescharacteristic
319C2×#4323C2311yescharacteristic
320C2×(C2×D11)⋊C4—21no—
321#66979C2311yescharacteristic
322#66979C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324#66977—21no—
325#66977—21no—
326#66950—21no—
327#66950—21no—
328#66950—21no—
329#66950—21no—
330#66950—21no—
331#66950—21no—
332#66949—21no—
333#66949—21no—
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66949—21no—
341#66949—21no—
342#66949—21no—
343#66949—21no—
344#66946—21no—
345#66946—21no—
346#66946—21no—
347#66946—21no—
348C4⋊C4×D11—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11—21no—
351C4⋊C4×D11—21no—
352C4⋊C4×D11—21no—
353C4⋊C4×D11—21no—
354#66943—21no—
355#66943—21no—
356#66941—21no—
357#66941—21no—
358C22⋊C4×D11—21no—
359C22⋊C4×D11—21no—
360C22⋊C4×D11—21no—
361C22⋊C4×D11—21no—
362#66931—21no—
363#66931—21no—
364#66931—21no—
365#66931—21no—
366C4×D44—21no—
367C4×D44—21no—
368C4×D44C2311yescharacteristic
369C4×D44C2311yescharacteristic
370C4×D44C2311yescharacteristic
371C4×D44C2311yescharacteristic
372C4×D44C2311yescharacteristic
373C4×D44C2311yescharacteristic
374C4×D44C2311yescharacteristic
375C4×D44C2311yescharacteristic
376C4×D44C2311yescharacteristic
377C4×D44C2311yescharacteristic
378C4×D44C2311yescharacteristic
379C4×D44C2311yescharacteristic
380#66923C2311yescharacteristic
381#66923C2311yescharacteristic
382#66923C2311yescharacteristic
383#66923C2311yescharacteristic
384#66923C2311yescharacteristic
385#66923C2311yescharacteristic
386#66922C2311yescharacteristic
387#66922C2311yescharacteristic
388#66922C2311yescharacteristic
389#66922C2311yescharacteristic
390#66922C2311yescharacteristic
391#66922C2311yescharacteristic
392C4×Dic22—21no—
393C4×Dic22—21no—
394#66899C2311yescharacteristic
395#66899C2311yescharacteristic
396#66899C2311yescharacteristic
397#66899C2311yescharacteristic
398#66899C2311yescharacteristic
399#66899C2311yescharacteristic
400#66899C2311yescharacteristic
401#66899C2311yescharacteristic
402#66899C2311yescharacteristic
403#66899C2311yescharacteristic
404#66899C2311yescharacteristic
405#66899C2311yescharacteristic
406#66896C2311yescharacteristic
407#66896C2311yescharacteristic
408#66896C2311yescharacteristic
409#66896C2311yescharacteristic
410#66896C2311yescharacteristic
411#66896C2311yescharacteristic
412#66896C2311yescharacteristic
413#66896C2311yescharacteristic
414#66896C2311yescharacteristic
415#66896C2311yescharacteristic
416#66896C2311yescharacteristic
417#66896C2311yescharacteristic
418C22⋊(C11⋊C8)C2311yescharacteristic
419C22⋊(C11⋊C8)C2311yescharacteristic
420C22⋊(C11⋊C8)C2311yescharacteristic
421C22⋊(C11⋊C8)C2311yescharacteristic
422#66873C2311yescharacteristic
423#66873C2311yescharacteristic
424#66873C2311yescharacteristic
425#66873C2311yescharacteristic
426#66873C2311yescharacteristic
427#66873C2311yescharacteristic
428#66873C2311yescharacteristic
429#66873C2311yescharacteristic
430#66872C2311yescharacteristic
431#66872C2311yescharacteristic
432#66872C2311yescharacteristic
433#66872C2311yescharacteristic
434#66872C2311yescharacteristic
435#66872C2311yescharacteristic
436#66872C2311yescharacteristic
437#66872C2311yescharacteristic
438#66872C2311yescharacteristic
439#66872C2311yescharacteristic
440#66872C2311yescharacteristic
441#66872C2311yescharacteristic
442#66871C2311yescharacteristic
443#66871C2311yescharacteristic
444#66871C2311yescharacteristic
445#66871C2311yescharacteristic
446#66871C2311yescharacteristic
447#66871C2311yescharacteristic
448#66871C2311yescharacteristic
449#66871C2311yescharacteristic
450#66871C2311yescharacteristic
451#66871C2311yescharacteristic
452#66871C2311yescharacteristic
453#66871C2311yescharacteristic
454C4⋊(C11⋊C8)C2311yescharacteristic
455C4⋊(C11⋊C8)C2311yescharacteristic
456C4⋊(C11⋊C8)C2311yescharacteristic
457C4⋊(C11⋊C8)C2311yescharacteristic
458C4⋊(C11⋊C8)C2311yescharacteristic
459C4⋊(C11⋊C8)C2311yescharacteristic
460C4⋊(C11⋊C8)C2311yescharacteristic
461C4⋊(C11⋊C8)C2311yescharacteristic
462C4⋊(C11⋊C8)C2311yescharacteristic
463C4⋊(C11⋊C8)C2311yescharacteristic
464C4⋊(C11⋊C8)C2311yescharacteristic
465C4⋊(C11⋊C8)C2311yescharacteristic
466#66867C2311yescharacteristic
467#66867C2311yescharacteristic
468#66867C2311yescharacteristic
469#66867C2311yescharacteristic
470#66867C2311yescharacteristic
471#66867C2311yescharacteristic
472C4×C11⋊C8C2311yescharacteristic
473C4×C11⋊C8C2311yescharacteristic
474C4×C11⋊C8C2311yescharacteristic
475C4×C11⋊C8C2311yescharacteristic
476C4×C11⋊C8C2311yescharacteristic
477C4×C11⋊C8C2311yescharacteristic
478#61855—111nomaximal, Sylow
479C23×D11—21no—
480C2×Q8×C11—21no—
481C2×Q8×C11—21no—
482C2×Q8×C11C2×D411yescharacteristic
483C2×Q8×C11C2×D411yescharacteristic
484C2×Q8×C11C2×D411yescharacteristic
485C2×Q8×C11C2×D411yescharacteristic
486C2×Q8×C11C2411yescharacteristic
487C2×Q8×C11C2411yescharacteristic
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—21no—
492C2×D4×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C22×C4×C11—21no—
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11C2×D411yescharacteristic
501C22×C4×C11C2×D411yescharacteristic
502C22×C4×C11C2411yescharacteristic
503C22×Dic11—21no—
504Q8×D11—82no—
505Q8×D11—82no—
506C2×D44—22no—
507C2×D44—22no—
508C2×D44—21no—
509C2×D44C2411yescharacteristic
510C2×D44C2411yescharacteristic
511C2×C4×D11—21no—
512C2×C4×D11—21no—
513C2×C4×D11—21no—
514C2×C4×D11—21no—
515C2×C4×D11—21no—
516C2×C4×D11—21no—
517C2×C4×D11—21no—
518C2×C4×D11—21no—
519C2×C4×D11—21no—
520C2×C4×D11—21no—
521C2×C4×D11—21no—
522C2×C4×D11—21no—
523C2×C4×D11—82no—
524C2×Dic22—21no—
525C2×Dic22—21no—
526C2×Dic22—21no—
527C2×Dic22—21no—
528C2×Dic22—21no—
529C2×Dic22—21no—
530C11×C4⋊C4—21no—
531C11×C4⋊C4—21no—
532C11×C4⋊C4—21no—
533C11×C4⋊C4—21no—
534C11×C4⋊C4—21no—
535C11×C4⋊C4—21no—
536C11×C4⋊C4—21no—
537C11×C4⋊C4—21no—
538C11×C4⋊C4—21no—
539C11×C4⋊C4—21no—
540C11×C4⋊C4—21no—
541C11×C4⋊C4—21no—
542C11×C4⋊C4—21no—
543C11×C4⋊C4—21no—
544C11×C4⋊C4—21no—
545C11×C4⋊C4—21no—
546C11×C4⋊C4—21no—
547C11×C4⋊C4—21no—
548C11×C4⋊C4—21no—
549C11×C4⋊C4—21no—
550C11×C4⋊C4C2×D411yescharacteristic
551C11×C4⋊C4C2×D411yescharacteristic
552C11×C4⋊C4C2×D411yescharacteristic
553C11×C4⋊C4C2×D411yescharacteristic
554C11×C4⋊C4C2×D411yescharacteristic
555C11×C4⋊C4C2×D411yescharacteristic
556C11×C4⋊C4C2×D411yescharacteristic
557C11×C4⋊C4C2×D411yescharacteristic
558C11×C4⋊C4C2×D411yescharacteristic
559C11×C4⋊C4C2×D411yescharacteristic
560C11×C4⋊C4C2×D411yescharacteristic
561C11×C4⋊C4C2×D411yescharacteristic
562C11×C4⋊C4C2×D411yescharacteristic
563C11×C4⋊C4C2×D411yescharacteristic
564C11×C4⋊C4C2×D411yescharacteristic
565C11×C4⋊C4C2×D411yescharacteristic
566C11×C4⋊C4C2411yescharacteristic
567C11×C4⋊C4C2411yescharacteristic
568C11×C4⋊C4C2411yescharacteristic
569C11×C4⋊C4C2411yescharacteristic
570C11×C22⋊C4—21no—
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4—21no—
581C11×C22⋊C4—21no—
582C11×C22⋊C4—21no—
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4C2×D411yescharacteristic
589C11×C22⋊C4C2×D411yescharacteristic
590C11×C22⋊C4C2×D411yescharacteristic
591C11×C22⋊C4C2×D411yescharacteristic
592C42×C11—21no—
593C42×C11—21no—
594C42×C11—21no—
595C42×C11—21no—
596C42×C11—21no—
597C42×C11—21no—
598C42×C11C2×D411yescharacteristic
599C42×C11C2×D411yescharacteristic
600C42×C11C2411yescharacteristic
601C42×C11C2411yescharacteristic
602C42×C11C2411yescharacteristic
603C42×C11C2411yescharacteristic
604C42×C11C2411yescharacteristic
605C42×C11C2411yescharacteristic
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608#4325—22no—
609#4325—22no—
610#4325—22no—
611#4325—22no—
612#4323—22no—
613#4323—22no—
614#4323—22no—
615#4323—22no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628C4⋊Dic11—21no—
629C4⋊Dic11—21no—
630C4⋊Dic11—21no—
631C4⋊Dic11—21no—
632C4⋊Dic11—21no—
633C4⋊Dic11—21no—
634C4⋊Dic11—21no—
635C4⋊Dic11C2411yescharacteristic
636C4⋊Dic11C2411yescharacteristic
637C4⋊Dic11C2411yescharacteristic
638C4⋊Dic11C2411yescharacteristic
639C4⋊Dic11C2411yescharacteristic
640C4⋊Dic11C2411yescharacteristic
641Dic11⋊C4—21no—
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653C4×Dic11—21no—
654C4×Dic11—21no—
655C2×C11⋊C8C2411yescharacteristic
656C2×C11⋊C8C2411yescharacteristic
657C2×C11⋊C8C2411yescharacteristic
658C2×C11⋊C8C2411yescharacteristic
659C2×C11⋊C8C2411yescharacteristic
660C2×C11⋊C8C2411yescharacteristic
661C2×C11⋊C8C2411yescharacteristic
662C2×C11⋊C8C2411yescharacteristic
663#3557D1111yescharacteristic, complemented
664#3501—111no—
665#3389—111no—
666#3389—111no—
667#3388—111no—
668#3388—111no—
669#3386—111no—
670#3384—111no—
671#3381—111no—
672#3380—111no—
673#3376—111no—
674#3376—111no—
675#3373—111no—
676#3370—111no—
677#3370—111no—
678#3367—111no—
679#3361—111no—
680#3360—111no—
681#3244—111no—
682#3243—111no—
683#3242—111no—
684#3241—111no—
685#3240—111no—
686#3233—111no—
687#3123—111no—
688#3122—111no—
689#3118—111no—
690#3118—111no—
691#3114—111no—
692#3105—111no—
693#2985—111no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11C22×D411yescharacteristic
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—24no—
700C22×D11—81no—
701C22×D11—81no—
702Q8×C11—21no—
703Q8×C11—21no—
704Q8×C11—21no—
705Q8×C11—21no—
706Q8×C11—41no—
707Q8×C11—41no—
708Q8×C11—41no—
709Q8×C11—41no—
710Q8×C11—81no—
711Q8×C11—81no—
712D4×C11—21no—
713D4×C11—21no—
714D4×C11—21no—
715D4×C11—21no—
716D4×C11—81no—
717D4×C11—81no—
718D4×C11—81no—
719D4×C11—81no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—41no—
729C2×C4×C11—41no—
730C2×C4×C11—81no—
731C2×C4×C11—81no—
732C2×C4×C11—81no—
733C2×C4×C11—81no—
734C2×C4×C11—81no—
735C2×C4×C11—81no—
736C2×C4×C11C22×D411yescharacteristic
737C2×C4×C11C22×D411yescharacteristic
738C2×C4×C11C22×D411yescharacteristic
739C2×C4×C11C22×D411yescharacteristic
740C2×C4×C11C22×D411yescharacteristic
741C2×C4×C11C22×D411yescharacteristic
742C2×C4×C11C22×D411yescharacteristic
743C2×C4×C11C22×D411yescharacteristic
744C2×C4×C11C22×D411yescharacteristic
745C2×C4×C11C22×D411yescharacteristic
746C2×C4×C11C22×D411yescharacteristic
747C2×C4×C11C22×D411yescharacteristic
748C2×C4×C11C22×D411yescharacteristic
749C2×C4×C11C2511yescharacteristic
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—81no—
757D44—24no—
758D44—21no—
759D44—21no—
760D442−1+412yes—
761D442−1+412yes—
762C4×D11—42no—
763C4×D11—42no—
764C4×D11—81no—
765C4×D11—81no—
766C4×D11—81no—
767C4×D11—81no—
768C4×D11—81no—
769C4×D11—81no—
770C4×D11—81no—
771C4×D11—81no—
772C4×D11—81no—
773C4×D11—81no—
774Dic22—42no—
775Dic22—81no—
776Dic22—81no—
777Dic22—81no—
778Dic22—81no—
779Dic22—81no—
780C11⋊C8—21no—
781C11⋊C8—21no—
782C11⋊C8—21no—
783C11⋊C8—21no—
784C11⋊C8—21no—
785C11⋊C8—21no—
786C11⋊C8—21no—
787C11⋊C8—21no—
788#563—21no—
789#563—21no—
790#559C2×D1111yescharacteristic, complemented
791#559C2×D1111yescharacteristic, complemented
792#557C2×D1111yescharacteristic, complemented
793#557C2×D1111yescharacteristic, complemented
794#556C2×D1111yescharacteristic, complemented
795#556C2×D1111yescharacteristic, complemented
796#554—111no—
797#554—111no—
798#554—111no—
799#554—111no—
800#554—111no—
801#554—111no—
802#554—221no—
803#554—221no—
804#554—221no—
805#554C2×D1111yescharacteristic, complemented
806#554C2×D1111yescharacteristic, complemented
807#552—21no—
808#552—21no—
809D4×Q8—111no—
810D4×Q8—111no—
811D4×Q8—221no—
812#544—111no—
813#544—111no—
814#543—221no—
815#543—221no—
816#542—21no—
817#542—21no—
818#542C2×D1111yescharacteristic
819#542C2×D1111yescharacteristic
820#541C2×D1111yescharacteristic
821#540C2×D1111yescharacteristic
822#539—21no—
823#539—21no—
824#533—111no—
825#533C2×D1111yescharacteristic
826#529C2×D1111yescharacteristic
827#529C2×D1111yescharacteristic
828C2×C22⋊Q8—221no—
829C2×C22⋊Q8—221no—
830#518—111no—
831#518—111no—
832C2×C4×D4—111no—
833#501—111no—
834#501—111no—
835#501—111no—
836#501—111no—
837#501—111no—
838#501—111no—
839#500—111no—
840#499—111no—
841#499—111no—
842#499—111no—
843#499—111no—
844#498—111no—
845#491—111no—
846#490—111no—
847#489—111no—
848#489—111no—
849#489—111no—
850#489—111no—
851#488—111no—
852#488—111no—
853#488—111no—
854#488—111no—
855#487—111no—
856#486—111no—
857#485—111no—
858#485—111no—
859#485—111no—
860#485—111no—
861#484—111no—
862#483—111no—
863#482—111no—
864#482—111no—
865#482—111no—
866#482—111no—
867#481—111no—
868#480—111no—
869#479—111no—
870#479—111no—
871#479—111no—
872#479—111no—
873#479—111no—
874#479—111no—
875#478—111no—
876#478—111no—
877#478—111no—
878#478—111no—
879#478—111no—
880#478—111no—
881#478—111no—
882#478—111no—
883#478—111no—
884#478—111no—
885#478—111no—
886#478—111no—
887#478—111no—
888#478—111no—
889#477—111no—
890#477—111no—
891#477—111no—
892#476—111no—
893#476—111no—
894#476—111no—
895#476—111no—
896#476—111no—
897#475—111no—
898#475—111no—
899#475—111no—
900#474—111no—
901#474—111no—
902#474—111no—
903#474—111no—
904#474—111no—
905#463—111no—
906#463—111no—
907#463—111no—
908#463—111no—
909#463—111no—
910#463—111no—
911#463—111no—
912#463—111no—
913#461—111no—
914#461—111no—
915#459—111no—
916#459—111no—
917#450—111no—
918#450—111no—
919#447—111no—
920#447—111no—
921#446—111no—
922#446—111no—
923#446—111no—
924#446—111no—
925#446—111no—
926#446—111no—
927C8×Q8—111no—
928C8×Q8—111no—
929#442—111no—
930#442—111no—
931#442—111no—
932#442—111no—
933#442—111no—
934#442—111no—
935#440—111no—
936#440—111no—
937#440—111no—
938#440—111no—
939#440—111no—
940#440—111no—
941C4×SD16—111no—
942C4×SD16—111no—
943C4×SD16—111no—
944C4×SD16—111no—
945C4×SD16—111no—
946C4×SD16—111no—
947C4×D8—111no—
948C4×D8—111no—
949C4×D8—111no—
950C4×D8—111no—
951C4×D8—111no—
952C4×D8—111no—
953#433—111no—
954#433—111no—
955#433—111no—
956#433—111no—
957#432—111no—
958#431—111no—
959C22×C11—21no—
960C22×C11—21no—
961C22×C11—21no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11C23×D411yescharacteristic
969C2×D11—22no—
970C2×D11—22no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—84no—
976C4×C11—21no—
977C4×C11—21no—
978C4×C11—21no—
979C4×C11—21no—
980C4×C11—21no—
981C4×C11—21no—
982C4×C11—21no—
983C4×C11—21no—
984C4×C11—21no—
985C4×C11—21no—
986C4×C11—21no—
987C4×C11—21no—
988C4×C11—21no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11C2×2−1+411yescharacteristic
996C4×C11C2×2−1+411yescharacteristic
997Dic11—41no—
998Dic11—41no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003C22×Q8—221no—
1004C22×Q8—221no—
1005C22×D4—111no—
1006C23×C4—221no—
1007C2×SD16—111no—
1008C2×SD16—111no—
1009C2×SD16—111no—
1010C2×SD16—111no—
1011C2×D8—111no—
1012C2×D8—111no—
1013C2×D8—111no—
1014C2×D8—111no—
1015C4⋊Q8—21no—
1016C4⋊Q8—21no—
1017C4⋊Q8—111no—
1018C4⋊Q8—111no—
1019C4⋊Q8—111no—
1020C4⋊Q8—111no—
1021C4⋊Q8—111no—
1022C4⋊Q8—111no—
1023C4⋊Q8—221no—
1024C4⋊Q8—221no—
1025C4⋊Q8C22⋊D1111yescharacteristic
1026C4⋊Q8C22⋊D1111yescharacteristic
1027C4⋊Q8C22×D1111yescharacteristic
1028C4⋊Q8C22×D1111yescharacteristic
1029C4⋊Q8C22×D1111yescharacteristic
1030#127C22×D1111yescharacteristic
1031#126—21no—
1032#126—21no—
1033#126—21no—
1034#126—21no—
1035#126—21no—
1036#126—21no—
1037#126—21no—
1038#126—21no—
1039#126—21no—
1040#126—21no—
1041#125—21no—
1042#125—21no—
1043#125—21no—
1044#125—21no—
1045#125—21no—
1046#125—21no—
1047#125—111no—
1048#125—111no—
1049#125—111no—
1050#125—111no—
1051#125—111no—
1052#125—111no—
1053#125—221no—
1054#125—221no—
1055#125C22⋊D1111yescharacteristic
1056#125C22⋊D1111yescharacteristic
1057#125C22×D1111yescharacteristic
1058#125C22×D1111yescharacteristic
1059#125C22×D1111yescharacteristic
1060#125C22×D1111yescharacteristic
1061#124—21no—
1062#124—21no—
1063#124—21no—
1064#124—21no—
1065#124C22×D1111yescharacteristic
1066#124C22×D1111yescharacteristic
1067#124C22×D1111yescharacteristic
1068#124C22×D1111yescharacteristic
1069#123—21no—
1070#123—21no—
1071#123—21no—
1072#123—21no—
1073#123—21no—
1074#123—21no—
1075#123—21no—
1076#123—21no—
1077#123—21no—
1078#123—21no—
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—221no—
1090C22⋊Q8—221no—
1091C22⋊Q8—221no—
1092C22⋊Q8—221no—
1093C22⋊Q8—221no—
1094C22⋊Q8—221no—
1095C22⋊Q8—221no—
1096C22⋊Q8—221no—
1097C22⋊Q8—221no—
1098C22⋊Q8—221no—
1099C22⋊Q8—221no—
1100C22⋊Q8—221no—
1101C22⋊Q8—221no—
1102C22⋊Q8—221no—
1103C22⋊Q8—221no—
1104C22⋊Q8—221no—
1105C22⋊Q8—221no—
1106C22⋊Q8—221no—
1107C22⋊Q8—221no—
1108C22⋊Q8—221no—
1109C22⋊Q8—221no—
1110C22⋊Q8—221no—
1111C22⋊Q8—221no—
1112C22⋊Q8—221no—
1113C22⋊Q8—221no—
1114C22⋊Q8—221no—
1115C22⋊Q8—221no—
1116C22⋊Q8—221no—
1117C22⋊Q8—221no—
1118C22⋊Q8—221no—
1119C22⋊Q8C22⋊D1111yescharacteristic
1120C22⋊Q8C22⋊D1111yescharacteristic
1121C22⋊Q8C22⋊D1111yescharacteristic
1122C22⋊Q8C22⋊D1111yescharacteristic
1123C22⋊Q8C22×D1111yescharacteristic
1124C22⋊Q8C22×D1111yescharacteristic
1125#121—21no—
1126#121—21no—
1127#121C22×D1111yescharacteristic
1128#121C22×D1111yescharacteristic
1129C4×Q8—21no—
1130C4×Q8—21no—
1131C4×Q8—221no—
1132C4×Q8—221no—
1133C4×Q8C22×D1111yescharacteristic
1134C4×Q8C22×D1111yescharacteristic
1135C4×Q8C22×D1111yescharacteristic
1136C4×Q8C22×D1111yescharacteristic
1137C4×Q8C22×D1111yescharacteristic
1138C4×Q8C22×D1111yescharacteristic
1139C4×Q8C22×D1111yescharacteristic
1140C4×Q8C22×D1111yescharacteristic
1141C4×Q8C22×D1111yescharacteristic
1142C4×Q8C22×D1111yescharacteristic
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4—21no—
1146C4×D4—21no—
1147C4×D4—111no—
1148C4×D4—111no—
1149C4×D4—111no—
1150C4×D4—111no—
1151C4×D4—111no—
1152C4×D4—111no—
1153C4×D4—111no—
1154C4×D4—111no—
1155C4×D4—111no—
1156C4×D4—111no—
1157C4×D4—111no—
1158C4×D4—111no—
1159C4×D4—221no—
1160C4×D4—221no—
1161C4×D4—221no—
1162C4×D4—221no—
1163C4×D4—221no—
1164C4×D4—221no—
1165C4×D4C22×D1111yescharacteristic
1166C4×D4C22×D1111yescharacteristic
1167C4×D4C22×D1111yescharacteristic
1168C4×D4C22×D1111yescharacteristic
1169C4×D4C22×D1111yescharacteristic
1170C4×D4C22×D1111yescharacteristic
1171#117—21no—
1172#117—21no—
1173#117—21no—
1174#117—21no—
1175#117—111no—
1176#117—111no—
1177#117C22×D1111yescharacteristic
1178#117C22×D1111yescharacteristic
1179C2×C4⋊C4—21no—
1180C2×C4⋊C4—21no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—221no—
1183C2×C4⋊C4—221no—
1184C2×C4⋊C4—221no—
1185C2×C4⋊C4—221no—
1186C2×C4⋊C4—221no—
1187C2×C4⋊C4—221no—
1188C2×C22⋊C4—221no—
1189C2×C22⋊C4—221no—
1190C2×C22⋊C4—221no—
1191C2×C22⋊C4—221no—
1192C2×C22⋊C4—221no—
1193C2×C42C22×D1111yescharacteristic
1194#107—111no—
1195#107—111no—
1196#107—111no—
1197#107—111no—
1198#107—111no—
1199#107—111no—
1200#107—111no—
1201#107—111no—
1202#107—111no—
1203#107—111no—
1204#107—111no—
1205#107—111no—
1206#106—111no—
1207#106—111no—
1208#106—111no—
1209#106—111no—
1210#106—111no—
1211#106—111no—
1212#106—111no—
1213#106—111no—
1214#106—111no—
1215#106—111no—
1216#106—111no—
1217#106—111no—
1218C4⋊C8—111no—
1219C4⋊C8—111no—
1220C4⋊C8—111no—
1221C4⋊C8—111no—
1222C4⋊C8—111no—
1223C4⋊C8—111no—
1224C4⋊C8—111no—
1225C4⋊C8—111no—
1226C4⋊C8—111no—
1227C4⋊C8—111no—
1228C4⋊C8—111no—
1229C4⋊C8—111no—
1230#103—111no—
1231#103—111no—
1232#103—111no—
1233#103—111no—
1234#103—111no—
1235#103—111no—
1236#103—111no—
1237#103—111no—
1238#103—111no—
1239#103—111no—
1240#103—111no—
1241#103—111no—
1242#102—111no—
1243#102—111no—
1244#102—111no—
1245#102—111no—
1246#102—111no—
1247#102—111no—
1248#102—111no—
1249#102—111no—
1250#102—111no—
1251#102—111no—
1252#102—111no—
1253#102—111no—
1254#102—111no—
1255#102—111no—
1256#102—111no—
1257#102—111no—
1258#102—111no—
1259#102—111no—
1260#102—111no—
1261#102—111no—
1262C22⋊C8—111no—
1263C22⋊C8—111no—
1264C22⋊C8—111no—
1265C22⋊C8—111no—
1266#97—111no—
1267#97—111no—
1268#97—111no—
1269#97—111no—
1270#97—111no—
1271#97—111no—
1272C4×C8—111no—
1273C4×C8—111no—
1274C4×C8—111no—
1275C4×C8—111no—
1276C4×C8—111no—
1277C4×C8—111no—
1278C2×C11—41no—
1279C2×C11—81no—
1280C2×C11—81no—
1281C2×C11#348611yescharacteristic
1282C2×C11#358411yescharacteristic
1283C2×C11#358511yescharacteristic
1284D11—42no—
1285D11—42no—
1286C24—221no—
1287C2×Q8—21no—
1288C2×Q8—21no—
1289C2×Q8—221no—
1290C2×Q8—221no—
1291C2×Q8—221no—
1292C2×Q8—221no—
1293C2×Q8—221no—
1294C2×Q8—221no—
1295C2×Q8—882no—
1296C2×Q8—882no—
1297C2×Q8C2×C22⋊D1111yescharacteristic
1298C2×Q8C2×C22⋊D1111yescharacteristic
1299C2×Q8C2×C22⋊D1111yescharacteristic
1300C2×Q8C2×C22⋊D1111yescharacteristic
1301C2×Q8C23×D1111yescharacteristic
1302C2×Q8C23×D1111yescharacteristic
1303C2×D4—21no—
1304C2×D4—21no—
1305C2×D4—21no—
1306C2×D4—21no—
1307C2×D4—111no—
1308C2×D4—111no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—221no—
1312C2×D4C23×D1111yescharacteristic
1313C2×D4C23×D1111yescharacteristic
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—221no—
1321C22×C4—221no—
1322C22×C4—221no—
1323C22×C4—221no—
1324C22×C4—221no—
1325C22×C4—221no—
1326C22×C4—221no—
1327C22×C4—221no—
1328C22×C4—221no—
1329C22×C4—221no—
1330C22×C4—221no—
1331C22×C4—221no—
1332C22×C4—221no—
1333C22×C4—882no—
1334C22×C4C2×C22⋊D1111yescharacteristic
1335C22×C4C2×C22⋊D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337SD16—222no—
1338SD16—222no—
1339SD16—222no—
1340SD16—222no—
1341D8—222no—
1342D8—222no—
1343D8—222no—
1344D8—222no—
1345C2×C8—111no—
1346C2×C8—111no—
1347C2×C8—111no—
1348C2×C8—111no—
1349C2×C8—111no—
1350C2×C8—111no—
1351C2×C8—111no—
1352C2×C8—111no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—111no—
1374C4⋊C4—111no—
1375C4⋊C4—111no—
1376C4⋊C4—111no—
1377C4⋊C4—111no—
1378C4⋊C4—111no—
1379C4⋊C4—221no—
1380C4⋊C4—221no—
1381C4⋊C4—221no—
1382C4⋊C4—221no—
1383C4⋊C4—221no—
1384C4⋊C4—221no—
1385C4⋊C4—221no—
1386C4⋊C4—221no—
1387C4⋊C4—221no—
1388C4⋊C4—221no—
1389C4⋊C4—221no—
1390C4⋊C4—221no—
1391C4⋊C4—221no—
1392C4⋊C4—221no—
1393C4⋊C4—221no—
1394C4⋊C4—221no—
1395C4⋊C4—221no—
1396C4⋊C4—221no—
1397C4⋊C4—221no—
1398C4⋊C4C2×C22⋊D1111yescharacteristic
1399C4⋊C4C2×C22⋊D1111yescharacteristic
1400C4⋊C4C2×C22⋊D1111yescharacteristic
1401C4⋊C4C2×C22⋊D1111yescharacteristic
1402C4⋊C4C2×C22⋊D1111yescharacteristic
1403C4⋊C4C2×C22⋊D1111yescharacteristic
1404C4⋊C4C2×C22⋊D1111yescharacteristic
1405C4⋊C4C2×C22⋊D1111yescharacteristic
1406C4⋊C4C2×C22⋊D1111yescharacteristic
1407C4⋊C4C2×C22⋊D1111yescharacteristic
1408C4⋊C4C2×C22⋊D1111yescharacteristic
1409C4⋊C4C2×C22⋊D1111yescharacteristic
1410C4⋊C4C2×C22⋊D1111yescharacteristic
1411C4⋊C4C2×C22⋊D1111yescharacteristic
1412C4⋊C4C2×C22⋊D1111yescharacteristic
1413C4⋊C4C2×C22⋊D1111yescharacteristic
1414C4⋊C4C23×D1111yescharacteristic
1415C4⋊C4C23×D1111yescharacteristic
1416C4⋊C4C23×D1111yescharacteristic
1417C4⋊C4C23×D1111yescharacteristic
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—221no—
1437C22⋊C4—221no—
1438C22⋊C4—221no—
1439C22⋊C4—221no—
1440C22⋊C4—221no—
1441C22⋊C4—221no—
1442C22⋊C4—221no—
1443C22⋊C4—221no—
1444C22⋊C4—221no—
1445C22⋊C4—221no—
1446C22⋊C4—221no—
1447C22⋊C4—221no—
1448C22⋊C4—221no—
1449C22⋊C4—221no—
1450C22⋊C4C2×C22⋊D1111yescharacteristic
1451C22⋊C4C2×C22⋊D1111yescharacteristic
1452C22⋊C4C2×C22⋊D1111yescharacteristic
1453C22⋊C4C2×C22⋊D1111yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—221no—
1461C42—221no—
1462C42C2×C22⋊D1111yescharacteristic
1463C42C2×C22⋊D1111yescharacteristic
1464C42C23×D1111yescharacteristic
1465C42C23×D1111yescharacteristic
1466C42C23×D1111yescharacteristic
1467C42C23×D1111yescharacteristic
1468C42C23×D1111yescharacteristic
1469C42C23×D1111yescharacteristic
1470C11#6185511yescharacteristic, complemented, Sylow
1471C23—21no—
1472C23—21no—
1473C23—224no—
1474C23—221no—
1475C23—221no—
1476C23—881no—
1477C23—881no—
1478C23C22×C22⋊D1111yescharacteristic
1479Q8—21no—
1480Q8—21no—
1481Q8—21no—
1482Q8—21no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—81no—
1488Q8—81no—
1489Q8—442no—
1490Q8—881no—
1491Q8—881no—
1492Q8—881no—
1493Q8—881no—
1494Q8—881no—
1495D4—21no—
1496D4—21no—
1497D4—21no—
1498D4—21no—
1499D4—81no—
1500D4—81no—
1501D4—81no—
1502D4—81no—
1503D4—112no—
1504D4—112no—
1505D4—224no—
1506D4—221no—
1507D4—221no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—81no—
1519C2×C4—81no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—442no—
1531C2×C4—442no—
1532C2×C4—881no—
1533C2×C4—881no—
1534C2×C4—881no—
1535C2×C4—881no—
1536C2×C4—881no—
1537C2×C4—881no—
1538C2×C4—881no—
1539C2×C4—881no—
1540C2×C4—881no—
1541C2×C4—881no—
1542C2×C4—881no—
1543C2×C4C22×C22⋊D1111yescharacteristic
1544C2×C4C22×C22⋊D1111yescharacteristic
1545C2×C4C22×C22⋊D1111yescharacteristic
1546C2×C4C22×C22⋊D1111yescharacteristic
1547C2×C4C22×C22⋊D1111yescharacteristic
1548C2×C4C22×C22⋊D1111yescharacteristic
1549C2×C4C22×C22⋊D1111yescharacteristic
1550C2×C4C22×C22⋊D1111yescharacteristic
1551C2×C4C22×C22⋊D1111yescharacteristic
1552C2×C4C22×C22⋊D1111yescharacteristic
1553C2×C4C22×C22⋊D1111yescharacteristic
1554C2×C4C22×C22⋊D1111yescharacteristic
1555C2×C4C22×C22⋊D1111yescharacteristic
1556C2×C4C24×D1111yescharacteristic
1557C8—221no—
1558C8—221no—
1559C8—221no—
1560C8—221no—
1561C8—221no—
1562C8—221no—
1563C8—221no—
1564C8—221no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—222no—
1575C22—222no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—884no—
1581C22C23×C22⋊D1111yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4D11×2−1+411yescharacteristic
1608C4D11×2−1+411yescharacteristic
1609C2—41no—
1610C2—81no—
1611C2—81no—
1612C2—442no—
1613C2—442no—
1614C2#1308226411yescharacteristic
1615C2#1308338711yescharacteristic
1616C2#1308339511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3557C2
socleC22×C11C23×D4
prime radical#13078854C2
hypercenter#3557D11
hypocenterC11#61855
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #13082417C2semidirect
2. #13081570C2semidirect
3. #13081570C2semidirect
4. #13081555C2semidirect
5. #13081555C2semidirect
6. #13081533C2semidirect
7. #13081515C2semidirect
8. #13081487C2semidirect
9. #13081479C2semidirect
10. #13081437C2semidirect
11. #13081437C2semidirect
12. #13081404C2semidirect
13. #13081363C2semidirect
14. #13081363C2semidirect
15. #13081330C2semidirect
16. #13081272C2semidirect
17. #13081261C2semidirect
18. #13079908C2semidirect
19. #13079893C2semidirect
20. #13079878C2semidirect
21. #13079863C2semidirect
22. #13079852C2semidirect
23. #13079791C2semidirect
24. #13078863C2semidirect
26. #13078794C2semidirect
27. #13078794C2semidirect
28. #13078750C2semidirect
29. #13078659C2semidirect
30. #13077711C2semidirect
31. C11×#3557C2semidirect
34. C11×#559C22semidirect
35. C11×#559C22semidirect
36. C11×#557C22semidirect
37. C11×#557C22semidirect
38. C11×#556C22semidirect
39. C11×#556C22semidirect
40. C11×#554C22semidirect
41. C11×#554C22semidirect
83. #10622695C22semidirect
84. #10622694C22semidirect
85. #10622693C22semidirect
86. #10622693C22semidirect
87. #10622692C22semidirect
88. #10622691C22semidirect
91. #10622684C22semidirect
92. #10622683C22semidirect
101. #10622678C22semidirect
102. #10622678C22semidirect
103. #10622678C22semidirect
104. #10622678C22semidirect
105. #10622677C22semidirect
106. #10622677C22semidirect
107. #10622677C22semidirect
108. #10622677C22semidirect
117. #10622669C22semidirect
118. #10622669C22semidirect
119. #10622669C22semidirect
120. #10622669C22semidirect
121. #10622668C22semidirect
122. #10622668C22semidirect
123. #10622668C22semidirect
124. #10622668C22semidirect
153. #10622637C22semidirect
154. #10622637C22semidirect
155. #10622637C22semidirect
156. #10622637C22semidirect
157. #10622637C22semidirect
158. #10622637C22semidirect
159. Q8×C11⋊C8C22semidirect
160. Q8×C11⋊C8C22semidirect
161. #10622635C22semidirect
162. #10622635C22semidirect
163. #10622635C22semidirect
164. #10622635C22semidirect
165. #10622635C22semidirect
166. #10622635C22semidirect
167. #10622634C22semidirect
168. #10622634C22semidirect
169. #10622634C22semidirect
170. #10622633C22semidirect
171. #10622633C22semidirect
172. #10622633C22semidirect
185. #10622622C22semidirect
186. #10622622C22semidirect
187. #10622622C22semidirect
188. #10622622C22semidirect
189. #10622622C22semidirect
190. #10622622C22semidirect
191. #10622621C22semidirect
192. #10622621C22semidirect
193. #10622621C22semidirect
194. #10622620C22semidirect
195. #10622620C22semidirect
196. #10622620C22semidirect
663. #3557D11semidirect
790. #559C2×D11semidirect
791. #559C2×D11semidirect
792. #557C2×D11semidirect
793. #557C2×D11semidirect
794. #556C2×D11semidirect
795. #556C2×D11semidirect
805. #554C2×D11semidirect
806. #554C2×D11semidirect
1470. C11#61855semidirect

Maximal subgroups

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

subgroupindex
#130824172
#130815702
#130815552
#130815332
#130815152
#130814872
#130814792
#130814372
#130814042
#130813632
#130813302
#130812722
#130812612
#130799082
#130798932
#130798782
#130798632
#130798522
#130797912
#130788632
#130788542
#130787942
#130787502
#130786592
#130777112
C11×#35572
#6185511