Finite Group Databasebeta

← #15639434

Subgroups — #15639434

Order 2816.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082258C211yesmaximal, characteristic, complemented
2#13080926C211yesmaximal, characteristic, complemented
3#13080811C211yesmaximal, characteristic, complemented
4#13080706C211yesmaximal, characteristic, complemented
5#13080691C211yesmaximal, characteristic, complemented
6#13080646C211yesmaximal, characteristic, complemented
7#13080586C211yesmaximal, characteristic, complemented
8#13080527C211yesmaximal, characteristic, complemented
9#13080445C211yesmaximal, characteristic, complemented
10#13080334C211yesmaximal, characteristic, complemented
11#13080324C211yesmaximal, characteristic, complemented
12#13080262C211yesmaximal, characteristic, complemented
13#13080248C211yesmaximal, characteristic, complemented
14#13080172C211yesmaximal, characteristic, complemented
15#13080172C211yesmaximal, characteristic, complemented
16#13080142C211yesmaximal, characteristic, complemented
17#13080127C211yesmaximal, characteristic, complemented
18#13079719C211yesmaximal, characteristic, complemented
19#13079693C211yesmaximal, characteristic, complemented
20#13079507C211yesmaximal, characteristic, complemented
21#13079492C211yesmaximal, characteristic, complemented
22#13079453C211yesmaximal, characteristic, complemented
23#13079397C211yesmaximal, characteristic, complemented
24#13078863C211yesmaximal, characteristic, complemented
25#13078794C211yesmaximal, characteristic, complemented
26#13077917C211yesmaximal, characteristic, complemented
27#13077891C211yesmaximal, characteristic, complemented
28#13077874C211yesmaximal, characteristic, complemented
29#13077832C211yesmaximal, characteristic, complemented
30#13077664C211yesmaximal, characteristic, complemented
31C11×#3541C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C11×#563—21no—
35C11×#562—21no—
36C11×#556C2211yescharacteristic, complemented
37C11×#554—21no—
38C11×#554C2211yescharacteristic, complemented
39C11×#553—21no—
40C11×#553C2211yescharacteristic, complemented
41C11×#552C2211yescharacteristic, complemented
42D4×Q8×C11C2211yescharacteristic, complemented
43C11×#548C2211yescharacteristic, complemented
44C11×#548C2211yescharacteristic, complemented
45C11×#547C2211yescharacteristic, complemented
46C11×#542—21no—
47C11×#542C2211yescharacteristic, complemented
48C11×#541C2211yescharacteristic, complemented
49C11×#539—21no—
50C11×#538—21no—
51C11×#538—21no—
52C11×#537C2211yescharacteristic
53C11×#536C2211yescharacteristic
54C11×#525C2211yescharacteristic
55C11×#525C2211yescharacteristic, complemented
56C2×C11×C22⋊Q8C2211yescharacteristic, complemented
57#10623356C2211yescharacteristic
58C2×#67003C2211yescharacteristic, complemented
59C2×#67003C2211yescharacteristic, complemented
60C2×#67003C2211yescharacteristic, complemented
61C2×#67002C2211yescharacteristic, complemented
62C2×#66995C2211yescharacteristic, complemented
63C2×#66995C2211yescharacteristic, complemented
64C2×#66995C2211yescharacteristic, complemented
65C22×#4325C2211yescharacteristic, complemented
66#10623322C2211yescharacteristic
67D11×#123—21no—
68D11×#123—21no—
69#10623162—21no—
70#10623162—21no—
71#10623143—21no—
72#10623143—21no—
73#10623120—21no—
74#10623120—21no—
75#10623082C2211yescharacteristic
76#10623082C2211yescharacteristic
77#10623082C2211yescharacteristic
78#10623082C2211yescharacteristic
79#10623081C2211yescharacteristic
80#10623081C2211yescharacteristic
81#10623081C2211yescharacteristic
82#10623081C2211yescharacteristic
83#10623057C2211yescharacteristic
84#10623052C2211yescharacteristic
85#10622852C2211yescharacteristic, complemented
86#10622852C2211yescharacteristic, complemented
87#10622852C2211yescharacteristic, complemented
88#10622851C2211yescharacteristic, complemented
89#10622847C2211yescharacteristic
90#10622847C2211yescharacteristic
91#10622841C2211yescharacteristic, complemented
92#10622841C2211yescharacteristic, complemented
93#10622841C2211yescharacteristic, complemented
94#10622840C2211yescharacteristic, complemented
95#10622820C2211yescharacteristic, complemented
96C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
97#10622706C2211yescharacteristic, complemented
98#10622705C2211yescharacteristic, complemented
99#10622702C2211yescharacteristic, complemented
100#10622700C2211yescharacteristic, complemented
101#10622699C2211yescharacteristic, complemented
102#10622697C2211yescharacteristic, complemented
103#10622696C2211yescharacteristic, complemented
104#10622696C2211yescharacteristic, complemented
105#10622682C2211yescharacteristic, complemented
106#10622681C2211yescharacteristic, complemented
107#10622679C2211yescharacteristic, complemented
108#10622679C2211yescharacteristic, complemented
109#10622673C2211yescharacteristic, complemented
110#10622672C2211yescharacteristic, complemented
111#10622670C2211yescharacteristic, complemented
112#10622670C2211yescharacteristic, complemented
113#10622665C2211yescharacteristic, complemented
114#10622665C2211yescharacteristic, complemented
115#10622665C2211yescharacteristic, complemented
116#10622665C2211yescharacteristic, complemented
117#10622664C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622664C2211yescharacteristic, complemented
121#10622664C2211yescharacteristic, complemented
122#10622663C2211yescharacteristic, complemented
123#10622663C2211yescharacteristic, complemented
124#10622663C2211yescharacteristic, complemented
125#10622662C2211yescharacteristic, complemented
126#10622661C2211yescharacteristic, complemented
127#10622661C2211yescharacteristic, complemented
128#10622660C2211yescharacteristic
129#10622660C2211yescharacteristic
130#10622660C2211yescharacteristic
131#10622660C2211yescharacteristic, complemented
132#10622660C2211yescharacteristic, complemented
133#10622660C2211yescharacteristic, complemented
134#10622660C2211yescharacteristic, complemented
135#10622660C2211yescharacteristic, complemented
136#10622660C2211yescharacteristic, complemented
137#10622660C2211yescharacteristic, complemented
138#10622660C2211yescharacteristic, complemented
139#10622660C2211yescharacteristic, complemented
140#10622659C2211yescharacteristic
141#10622659C2211yescharacteristic
142#10622659C2211yescharacteristic
143#10622659C2211yescharacteristic, complemented
144#10622659C2211yescharacteristic, complemented
145#10622659C2211yescharacteristic, complemented
146#10622658C2211yescharacteristic, complemented
147#10622658C2211yescharacteristic, complemented
148#10622658C2211yescharacteristic, complemented
149#10622655C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622654C2211yescharacteristic, complemented
152#10622653C2211yescharacteristic, complemented
153#10622652C2211yescharacteristic, complemented
154#10622650C2211yescharacteristic
155#10622650C2211yescharacteristic, complemented
156#10622650C2211yescharacteristic, complemented
157#10622650C2211yescharacteristic, complemented
158#10622649C2211yescharacteristic
159#10622649C2211yescharacteristic, complemented
160#10622648C2211yescharacteristic, complemented
161#10622644C2211yescharacteristic, complemented
162#10622644C2211yescharacteristic, complemented
163#10622644C2211yescharacteristic, complemented
164#10622641C2211yescharacteristic, complemented
165#10622641C2211yescharacteristic, complemented
166#10622641C2211yescharacteristic, complemented
167#10622639C2211yescharacteristic, complemented
168#10622639C2211yescharacteristic, complemented
169#10622639C2211yescharacteristic, complemented
170C4×#4325C2211yescharacteristic, complemented
171C4×#4325C2211yescharacteristic, complemented
172C4×#4325C2211yescharacteristic, complemented
173#10622632C2211yescharacteristic, complemented
174#10622629C2211yescharacteristic, complemented
175#10622627C2211yescharacteristic, complemented
176C4×#4323C2211yescharacteristic, complemented
177#10622625C2211yescharacteristic, complemented
178#10622625C2211yescharacteristic, complemented
179#10622624C2211yescharacteristic, complemented
180#10622624C2211yescharacteristic, complemented
181#10622624C2211yescharacteristic, complemented
182#10622624C2211yescharacteristic, complemented
183D4×C11⋊C8C2211yescharacteristic, complemented
184D4×C11⋊C8C2211yescharacteristic, complemented
185#10622616C2211yescharacteristic, complemented
186#10622615C2211yescharacteristic, complemented
187#10622615C2211yescharacteristic, complemented
188#10622615C2211yescharacteristic, complemented
189#10622614C2211yescharacteristic, complemented
190#10622613C2211yescharacteristic, complemented
191#10622613C2211yescharacteristic, complemented
192#10622609C2211yescharacteristic, complemented
193#10622609C2211yescharacteristic, complemented
194#10622609C2211yescharacteristic, complemented
195#10622584C2211yescharacteristic, complemented
196#10622584C2211yescharacteristic, complemented
197#10622583C2211yescharacteristic, complemented
198#10622580C2211yescharacteristic, complemented
199#10622579C2211yescharacteristic, complemented
200#10622579C2211yescharacteristic, complemented
201#10622579C2211yescharacteristic, complemented
202C2×#66873C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C22×C22⋊D11—21no—
210#67042—42no—
211#67042—42no—
212C2×#4343—21no—
213C2×D4×D11—21no—
214C2×D4×D11—21no—
215C2×D4×D11—21no—
216C2×#4339—21no—
217C2×#4339—21no—
218C2×#4339—42no—
219C2×#4339—42no—
220C2×#4339C2311yescharacteristic
221C2×#4339C2311yescharacteristic
222C2×#4339C2311yescharacteristic
223C2×#4339C2311yescharacteristic
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C22×D44C2311yescharacteristic
228C22×D44C2311yescharacteristic
229C22×D44C2311yescharacteristic
230C22×C4×D11—21no—
231C22×Dic22C2311yescharacteristic
232C11×C4⋊Q8—21no—
233C11×C4⋊Q8—21no—
234C11×C4⋊Q8C2311yescharacteristic
235C11×C4⋊Q8C2311yescharacteristic
236C11×#126—21no—
237C11×#126—21no—
238C11×#126—21no—
239C11×#126—21no—
240C11×#126—21no—
241C11×#126—21no—
242C11×#126—21no—
243C11×#125—21no—
244C11×#125—21no—
245C11×#125—21no—
246C11×#125—21no—
247C11×#125C2311yescharacteristic
248C11×#124—21no—
249C11×#124—21no—
250C11×#124—21no—
251C11×#124—21no—
252C11×#124—21no—
253C11×#124C2311yescharacteristic
254C11×#123—21no—
255C11×#123—21no—
256C11×#123—21no—
257C11×#123—21no—
258C11×#123—21no—
259C11×#123—21no—
260C11×#123—21no—
261C11×#123—21no—
262C11×#123D411yescharacteristic
263C11×#123D411yescharacteristic
264C11×C22⋊Q8—21no—
265C11×C22⋊Q8—21no—
266C11×C22⋊Q8—21no—
267C11×C22⋊Q8—21no—
268C11×C22⋊Q8—21no—
269C11×C22⋊Q8—21no—
270C11×C22⋊Q8—21no—
271C11×C22⋊Q8—21no—
272C11×C22⋊Q8—21no—
273C11×C22⋊Q8—21no—
274C11×C22⋊Q8D411yescharacteristic
275C11×C22⋊Q8D411yescharacteristic
276C11×C22⋊Q8C2311yescharacteristic
277C11×C22⋊Q8C2311yescharacteristic
278C11×C22⋊Q8C2311yescharacteristic
279C11×C22⋊Q8C2311yescharacteristic
280C11×C22⋊Q8C2311yescharacteristic
281C11×C22⋊Q8C2311yescharacteristic
282C11×C22⋊Q8C2311yescharacteristic
283C11×C22⋊Q8C2311yescharacteristic
284C11×C22⋊Q8C2311yescharacteristic
285C11×#121—21no—
286C11×#121—21no—
287C11×#121—21no—
288C11×#121—21no—
289C11×#121—21no—
290C11×#121—21no—
291C11×#121—21no—
292C11×#121D411yescharacteristic
293C11×#121D411yescharacteristic
294C11×#121C2311yescharacteristic
295C11×#121C2311yescharacteristic
296C11×#121C2311yescharacteristic
297C11×#120—21no—
298C11×#120D411yescharacteristic
299C11×#120D411yescharacteristic
300C4×Q8×C11—21no—
301C4×Q8×C11C2311yescharacteristic
302C4×Q8×C11C2311yescharacteristic
303C4×Q8×C11C2311yescharacteristic
304C4×D4×C11—21no—
305C4×D4×C11—21no—
306C4×D4×C11—21no—
307C4×D4×C11—21no—
308C4×D4×C11—21no—
309C4×D4×C11—21no—
310C4×D4×C11—21no—
311C4×D4×C11C2311yescharacteristic
312C4×D4×C11C2311yescharacteristic
313C4×D4×C11C2311yescharacteristic
314C4×D4×C11C2311yescharacteristic
315C4×D4×C11C2311yescharacteristic
316C11×#117—21no—
317C11×#117C2311yescharacteristic
318C11×#117C2311yescharacteristic
319C11×#117C2311yescharacteristic
320C2×C11×C4⋊C4—21no—
321C2×C11×C4⋊C4—21no—
322C2×C11×C4⋊C4C2311yescharacteristic
323C2×C11×C4⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4—21no—
325#67006—21no—
326#67003—42no—
327#67003—42no—
328#67003—42no—
329#67002—42no—
330#66997—21no—
331C2×#4326C2311yescharacteristic
332C2×#4326C2311yescharacteristic
333C2×#4326C2311yescharacteristic
334C2×#4326C2311yescharacteristic
335C2×#4326C2311yescharacteristic
336C2×#4326C2311yescharacteristic
337C2×#4326C2311yescharacteristic
338C2×#4326C2311yescharacteristic
339C2×#4326C2311yescharacteristic
340#66995—42no—
341#66995—42no—
342#66995—42no—
343C2×#4325—42no—
344C2×#4325C2311yescharacteristic
345C2×#4325C2311yescharacteristic
346C2×#4325C2311yescharacteristic
347C2×#4325C2311yescharacteristic
348C2×#4325C2311yescharacteristic
349C2×#4325C2311yescharacteristic
350C2×#4325C2311yescharacteristic
351C2×#4325C2311yescharacteristic
352C2×#4325C2311yescharacteristic
353#66991—21no—
354#66991—21no—
355#66991—21no—
356#66991—21no—
357#66990—21no—
358#66990—21no—
359#66990—21no—
360#66990—21no—
361#66989—21no—
362#66988—21no—
363#66988—21no—
364C2×#4324C2311yescharacteristic
365C2×#4324C2311yescharacteristic
366C2×#4324C2311yescharacteristic
367C2×#4323C2311yescharacteristic
368C2×#4323C2311yescharacteristic
369C2×#4323C2311yescharacteristic
370#66983C2311yescharacteristic
371#66983C2311yescharacteristic
372#66982—21no—
373C4×C22⋊D11—21no—
374C4×C22⋊D11—21no—
375#66979C2311yescharacteristic
376#66977C2311yescharacteristic
377#66977C2311yescharacteristic
378#66977C2311yescharacteristic
379#66977C2311yescharacteristic
380#66977C2311yescharacteristic
381#66977C2311yescharacteristic
382C2×#4318C2311yescharacteristic
383C2×#4318C2311yescharacteristic
384C2×#4318C2311yescharacteristic
385C2×#4318C2311yescharacteristic
386C22×C11⋊C8C2311yescharacteristic
387C22×C11⋊C8C2311yescharacteristic
388C22×C11⋊C8C2311yescharacteristic
389C22×C11⋊C8C2311yescharacteristic
390#66950—21no—
391#66950—21no—
392#66947—21no—
393#66947—21no—
394#66947—21no—
395#66947—21no—
396#66946—21no—
397#66946—21no—
398C4⋊C4×D11—21no—
399C4⋊C4×D11—21no—
400C4⋊C4×D11—21no—
401C4⋊C4×D11—21no—
402#66939—21no—
403#66939—21no—
404#66937—21no—
405#66937—21no—
406#66937—21no—
407#66937—21no—
408#66936—21no—
409#66936—21no—
410#66936—21no—
411#66936—21no—
412#66936—21no—
413#66936—21no—
414#66936—21no—
415#66936—21no—
416C22⋊C4×D11—21no—
417C22⋊C4×D11—21no—
418C22⋊C4×D11—21no—
419C22⋊C4×D11—21no—
420C22⋊C4×D11—21no—
421C22⋊C4×D11—21no—
422#66928C2311yescharacteristic
423#66928C2311yescharacteristic
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426C4×D44C2311yescharacteristic
427C4×D44C2311yescharacteristic
428#66922C2311yescharacteristic
429#66922C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438C22⋊(C11⋊C8)C2311yescharacteristic
439C22⋊(C11⋊C8)C2311yescharacteristic
440C22⋊(C11⋊C8)C2311yescharacteristic
441C22⋊(C11⋊C8)C2311yescharacteristic
442C22⋊(C11⋊C8)C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445C22⋊(C11⋊C8)C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448C22⋊(C11⋊C8)C2311yescharacteristic
449C22⋊(C11⋊C8)C2311yescharacteristic
450#66874C2311yescharacteristic
451#66874C2311yescharacteristic
452#66874C2311yescharacteristic
453#66874C2311yescharacteristic
454#66874C2311yescharacteristic
455#66874C2311yescharacteristic
456#66874C2311yescharacteristic
457#66874C2311yescharacteristic
458#66874C2311yescharacteristic
459#66874C2311yescharacteristic
460#66874C2311yescharacteristic
461#66874C2311yescharacteristic
462#66873C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484C4⋊(C11⋊C8)C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#66867C2311yescharacteristic
488C4×C11⋊C8C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61613—111nomaximal, Sylow
491C24×C11C2×D411yescharacteristic
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C2×Q8×C11—21no—
502C2×Q8×C11—21no—
503C2×Q8×C11—21no—
504C2×Q8×C11—41no—
505C2×Q8×C11—41no—
506C2×Q8×C11—41no—
507C2×Q8×C11—41no—
508C2×Q8×C11C2×D411yescharacteristic
509C2×Q8×C11C2411yescharacteristic
510C2×Q8×C11C2411yescharacteristic
511C2×Q8×C11C2411yescharacteristic
512C2×D4×C11—21no—
513C2×D4×C11—21no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11—21no—
517C2×D4×C11C2×D411yescharacteristic
518C2×D4×C11C2×D411yescharacteristic
519C2×D4×C11C2×D411yescharacteristic
520C2×D4×C11C2×D411yescharacteristic
521C2×D4×C11C2×D411yescharacteristic
522C2×D4×C11C2×D411yescharacteristic
523C2×D4×C11C2×D411yescharacteristic
524C2×D4×C11C2411yescharacteristic
525C22×C4×C11—21no—
526C22×C4×C11—21no—
527C22×C4×C11—21no—
528C22×C4×C11—21no—
529C22×C4×C11—21no—
530C22×C4×C11—21no—
531C22×C4×C11—21no—
532C22×C4×C11—41no—
533C22×C4×C11—41no—
534C22×C4×C11C2×D411yescharacteristic
535C22×C4×C11C2×D411yescharacteristic
536C22×C4×C11C2×D411yescharacteristic
537C22×C4×C11C2411yescharacteristic
538C22×C4×C11C2411yescharacteristic
539C22×C4×C11C2411yescharacteristic
540C22×C4×C11C2411yescharacteristic
541C22×C4×C11C2411yescharacteristic
542C2×C22⋊D11—21no—
543C2×C22⋊D11—21no—
544C2×C22⋊D11—21no—
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—21no—
551C2×C22⋊D11—44no—
552C22×Dic11—21no—
553#4343—44no—
554D4×D11—44no—
555D4×D11—44no—
556D4×D11—44no—
557#4339—22no—
558#4339—22no—
559#4339—22no—
560#4339—22no—
561#4339—22no—
562#4339—22no—
563#4339—41no—
564#4339—41no—
565#4339—41no—
566#4339—41no—
567#4339—41no—
568#4339—41no—
569#4339—41no—
570#4339—41no—
571#4339—44no—
572#4339—44no—
573C2×D44—22no—
574C2×D44—22no—
575C2×D44—22no—
576C2×D44—22no—
577C2×D44—21no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—41no—
581C2×D44—41no—
582C2×D44C2411yescharacteristic
583C2×D44C2411yescharacteristic
584C2×D44C2411yescharacteristic
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—44no—
597C2×Dic22—21no—
598C2×Dic22—41no—
599C2×Dic22—41no—
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C11×C4⋊C4—21no—
604C11×C4⋊C4—21no—
605C11×C4⋊C4—21no—
606C11×C4⋊C4—21no—
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4C2×D411yescharacteristic
623C11×C4⋊C4C2×D411yescharacteristic
624C11×C4⋊C4C2×D411yescharacteristic
625C11×C4⋊C4C2×D411yescharacteristic
626C11×C4⋊C4C2×D411yescharacteristic
627C11×C4⋊C4C2×D411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4—21no—
643C11×C22⋊C4—21no—
644C11×C22⋊C4—21no—
645C11×C22⋊C4—21no—
646C11×C22⋊C4—21no—
647C11×C22⋊C4—21no—
648C11×C22⋊C4—21no—
649C11×C22⋊C4C2×D411yescharacteristic
650C11×C22⋊C4C2×D411yescharacteristic
651C11×C22⋊C4C2×D411yescharacteristic
652C11×C22⋊C4C2×D411yescharacteristic
653C11×C22⋊C4C2×D411yescharacteristic
654C11×C22⋊C4C2×D411yescharacteristic
655C11×C22⋊C4C2×D411yescharacteristic
656C11×C22⋊C4C2×D411yescharacteristic
657C11×C22⋊C4C2×D411yescharacteristic
658C11×C22⋊C4C2×D411yescharacteristic
659C42×C11—21no—
660C42×C11—21no—
661C42×C11—21no—
662C42×C11—21no—
663C42×C11—21no—
664C42×C11C2411yescharacteristic
665C42×C11C2411yescharacteristic
666C22⋊Dic11—21no—
667C22⋊Dic11—21no—
668C22⋊Dic11—21no—
669C22⋊Dic11—21no—
670C22⋊Dic11—21no—
671C22⋊Dic11—21no—
672C22⋊Dic11—21no—
673#4326—41no—
674#4326—41no—
675#4326—41no—
676#4326—41no—
677#4326—41no—
678#4326—41no—
679#4326—41no—
680#4326—41no—
681#4326—41no—
682#4325—22no—
683#4325—22no—
684#4325—22no—
685#4325—22no—
686#4325—22no—
687#4325—22no—
688#4325—41no—
689#4325—41no—
690#4325—41no—
691#4324—41no—
692#4324—41no—
693#4324—41no—
694#4323—22no—
695#4323—22no—
696#4323—41no—
697(C2×D11)⋊C4—21no—
698(C2×D11)⋊C4—21no—
699(C2×D11)⋊C4—21no—
700(C2×D11)⋊C4—21no—
701(C2×D11)⋊C4—21no—
702(C2×D11)⋊C4—21no—
703(C2×D11)⋊C4—21no—
704(C2×D11)⋊C4—21no—
705(C2×D11)⋊C4—21no—
706(C2×D11)⋊C4—21no—
707C4⋊Dic11—21no—
708C4⋊Dic11—21no—
709C4⋊Dic11—21no—
710C4⋊Dic11—21no—
711C4⋊Dic11C2411yescharacteristic
712C4⋊Dic11C2411yescharacteristic
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719C4×Dic11—21no—
720#4318—41no—
721#4318—41no—
722#4318—41no—
723#4318—41no—
724C2×C11⋊C8—41no—
725C2×C11⋊C8—41no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732C2×C11⋊C8C2411yescharacteristic
733C2×C11⋊C8C2411yescharacteristic
734C2×C11⋊C8C2411yescharacteristic
735C2×C11⋊C8C2411yescharacteristic
736#3541D1111yescharacteristic, complemented
737#3485—111no—
738#3331—111no—
739#3322—111no—
740#3315—111no—
741#3314—111no—
742#3311—111no—
743#3307—111no—
744#3302—111no—
745#3296—111no—
746#3283—111no—
747#3282—111no—
748#3276—111no—
749#3275—111no—
750#3269—111no—
751#3269—111no—
752#3267—111no—
753#3266—111no—
754#3225—111no—
755#3223—111no—
756#3202—111no—
757#3201—111no—
758#3197—111no—
759#3190—111no—
760#3123—111no—
761#3118—111no—
762#3012—111no—
763#3009—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—41no—
769C23×C11—41no—
770C23×C11—41no—
771C23×C11C22×D411yescharacteristic
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C23×C11C22×D411yescharacteristic
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—24no—
779C22×D11—21no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—81no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—41no—
795Q8×C11—81no—
796Q8×C11—81no—
797Q8×C11—81no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—41no—
801D4×C11—41no—
802D4×C11—41no—
803D4×C11—41no—
804D4×C11—41no—
805D4×C11—41no—
806D4×C11—41no—
807D4×C11—42no—
808D4×C11—81no—
809D4×C11—81no—
810D4×C11—81no—
811D4×C11—81no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—41no—
830C2×C4×C11—41no—
831C2×C4×C11—41no—
832C2×C4×C11—81no—
833C2×C4×C11—81no—
834C2×C4×C11—81no—
835C2×C4×C11—81no—
836C2×C4×C11—81no—
837C2×C4×C11—81no—
838C2×C4×C11—81no—
839C2×C4×C11C22×D411yescharacteristic
840C2×C4×C11C22×D411yescharacteristic
841C2×C4×C11C22×D411yescharacteristic
842C2×C4×C11C22×D411yescharacteristic
843C2×C4×C11C22×D411yescharacteristic
844C2×C4×C11C22×D411yescharacteristic
845C2×C4×C11C22×D411yescharacteristic
846C2×C4×C11C22×D411yescharacteristic
847C2×C4×C11C22×D411yescharacteristic
848C2×C4×C11C2511yescharacteristic
849C22⋊D11—42no—
850C22⋊D11—42no—
851C22⋊D11—42no—
852C22⋊D11—42no—
853C22⋊D11—42no—
854C22⋊D11—42no—
855C22⋊D11—42no—
856C22⋊D11—81no—
857C22⋊D11—81no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—42no—
864D44—24no—
865D44—21no—
866D44—21no—
867D44—21no—
868D44—21no—
869D44—42no—
870D44—42no—
871D44H(5,𝔽2)12yes—
872D44H(5,𝔽2)12yes—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—42no—
880C4×D11—81no—
881C4×D11—81no—
882C4×D11—81no—
883C4×D11—81no—
884Dic22—21no—
885Dic22—21no—
886Dic22—21no—
887Dic22—21no—
888Dic22—21no—
889Dic22—21no—
890Dic22—42no—
891C11⋊C8—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×H(5,𝔽2)—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135—111no—
908C22×SD16—111no—
909#563—21no—
910#562—21no—
911#556C2×D1111yescharacteristic, complemented
912#554—21no—
913#554C2×D1111yescharacteristic, complemented
914#553—21no—
915#553C2×D1111yescharacteristic, complemented
916#552C2×D1111yescharacteristic, complemented
917D4×Q8C2×D1111yescharacteristic, complemented
918#548C2×D1111yescharacteristic, complemented
919#548C2×D1111yescharacteristic, complemented
920#547—111no—
921#547—111no—
922#547—111no—
923#547—111no—
924#547—221no—
925#547—221no—
926#547C2×D1111yescharacteristic, complemented
927#546—111no—
928#546—111no—
929#546—111no—
930#546—111no—
931#546—221no—
932#546—221no—
933#542—21no—
934#542C2×D1111yescharacteristic, complemented
935#541C2×D1111yescharacteristic, complemented
936#539—21no—
937#538—21no—
938#538—21no—
939#537C2×D1111yescharacteristic
940#536—111no—
941#536—111no—
942#536C2×D1111yescharacteristic
943#534—221no—
944#534—221no—
945#525—111no—
946#525C2×D1111yescharacteristic
947#525C2×D1111yescharacteristic, complemented
948C2×#123—221no—
949C2×#123—221no—
950C2×C22⋊Q8C2×D1111yescharacteristic, complemented
951#518—111no—
952#497—111no—
953#497—111no—
954#495—111no—
955#494—111no—
956#491—111no—
957#489—111no—
958#488—111no—
959#487—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#485—111no—
965#485—111no—
966#484—111no—
967#483—111no—
968#483—111no—
969#482—111no—
970#482—111no—
971#480—111no—
972#478—111no—
973#478—111no—
974#476—111no—
975#474—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#470—111no—
980#469—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#467—111no—
987#467—111no—
988#467—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#464—111no—
993#464—111no—
994#464—111no—
995#463—111no—
996#463—111no—
997#463—111no—
998#462—111no—
999#462—111no—
1000#462—111no—
1001#461—111no—
1002#461—111no—
1003#461—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#451—111no—
1025#450—111no—
1026#450—111no—
1027#450—111no—
1028#450—111no—
1029#450—111no—
1030#450—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#448—111no—
1037#448—111no—
1038#447—111no—
1039#447—111no—
1040#442—111no—
1041#440—111no—
1042#440—111no—
1043#440—111no—
1044C4×SD16—111no—
1045C4×SD16—111no—
1046C4×SD16—111no—
1047C4×D8—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#418—111no—
1059#417—111no—
1060#417—111no—
1061#417—111no—
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065C2×#102—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—21no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—82no—
1089C22×C11C23×D411yescharacteristic
1090C2×D11—22no—
1091C2×D11—22no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—84no—
1100C2×D11—162no—
1101C2×D11—162no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—21no—
1107C4×C11—21no—
1108C4×C11—21no—
1109C4×C11—21no—
1110C4×C11—21no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11C2×H(5,𝔽2)11yescharacteristic
1119C4×C11C2×H(5,𝔽2)11yescharacteristic
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11—41no—
1125H(5,𝔽2)—442no—
1126H(5,𝔽2)—442no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—442no—
1138C2×#41—442no—
1139C2×#41C22×D1111yescharacteristic
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8C22×D1111yescharacteristic
1144C22×Q8C22×D1111yescharacteristic
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—111no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C22×D4—221no—
1152C23×C4—221no—
1153C23×C4C22×D1111yescharacteristic
1154#137—442no—
1155#137—442no—
1156#137—442no—
1157AGL(1,ℤ/8)—442no—
1158#135—442no—
1159#135—442no—
1160#135—442no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—111no—
1167C2×Q16—111no—
1168C2×Q16—111no—
1169C2×Q16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—442no—
1183C2×D8—111no—
1184C2×D8—111no—
1185C2×D8—111no—
1186C2×M16—111no—
1187C2×M16—111no—
1188C2×M16—111no—
1189C2×M16—111no—
1190C22×C8—111no—
1191C22×C8—111no—
1192C22×C8—111no—
1193C22×C8—111no—
1194C4⋊Q8—21no—
1195C4⋊Q8—21no—
1196C4⋊Q8—111no—
1197C4⋊Q8—111no—
1198C4⋊Q8—221no—
1199C4⋊Q8C22×D1111yescharacteristic
1200C4⋊Q8C22×D1111yescharacteristic
1201#126—21no—
1202#126—21no—
1203#126—21no—
1204#126—21no—
1205#126—21no—
1206#126—21no—
1207#126—21no—
1208#125—21no—
1209#125—21no—
1210#125—21no—
1211#125—21no—
1212#125C22×D1111yescharacteristic
1213#124—21no—
1214#124—21no—
1215#124—21no—
1216#124—21no—
1217#124—21no—
1218#124—111no—
1219#124—111no—
1220#124—221no—
1221#124C22×D1111yescharacteristic
1222#123—21no—
1223#123—21no—
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123C22⋊D1111yescharacteristic
1248#123C22⋊D1111yescharacteristic
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8C22⋊D1111yescharacteristic
1268C22⋊Q8C22⋊D1111yescharacteristic
1269C22⋊Q8C22×D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272C22⋊Q8C22×D1111yescharacteristic
1273C22⋊Q8C22×D1111yescharacteristic
1274C22⋊Q8C22×D1111yescharacteristic
1275C22⋊Q8C22×D1111yescharacteristic
1276C22⋊Q8C22×D1111yescharacteristic
1277C22⋊Q8C22×D1111yescharacteristic
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—111no—
1286#121—111no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121C22⋊D1111yescharacteristic
1296#121C22⋊D1111yescharacteristic
1297#121C22×D1111yescharacteristic
1298#121C22×D1111yescharacteristic
1299#121C22×D1111yescharacteristic
1300#120—21no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306#120C22⋊D1111yescharacteristic
1307#120C22⋊D1111yescharacteristic
1308C4×Q8—21no—
1309C4×Q8C22×D1111yescharacteristic
1310C4×Q8C22×D1111yescharacteristic
1311C4×Q8C22×D1111yescharacteristic
1312C4×D4—21no—
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—111no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4C22×D1111yescharacteristic
1328C4×D4C22×D1111yescharacteristic
1329C4×D4C22×D1111yescharacteristic
1330C4×D4C22×D1111yescharacteristic
1331C4×D4C22×D1111yescharacteristic
1332#117—21no—
1333#117—111no—
1334#117C22×D1111yescharacteristic
1335#117C22×D1111yescharacteristic
1336#117C22×D1111yescharacteristic
1337C2×C4⋊C4—21no—
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—221no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4C22×D1111yescharacteristic
1344C2×C4⋊C4C22×D1111yescharacteristic
1345C2×C22⋊C4—21no—
1346C2×C22⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352#107—111no—
1353#107—111no—
1354#107—111no—
1355#107—111no—
1356#106—111no—
1357#106—111no—
1358#106—111no—
1359#106—111no—
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362C4⋊C8—111no—
1363C4⋊C8—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408#97—111no—
1409#97—111no—
1410C4×C8—111no—
1411C4×C8—111no—
1412C2×C11—41no—
1413C2×C11—41no—
1414C2×C11—41no—
1415C2×C11—41no—
1416C2×C11—41no—
1417C2×C11—81no—
1418C2×C11#348411yescharacteristic
1419C2×C11#358411yescharacteristic
1420C2×C11#358611yescharacteristic
1421D11—42no—
1422D11—42no—
1423D11—81no—
1424C24—221no—
1425C24—221no—
1426C24—221no—
1427C24C2×C22⋊D1111yescharacteristic
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—222no—
1438#41—222no—
1439#41—222no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—441no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—444no—
1449#41—444no—
1450#41—444no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—41no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—111no—
1459C2×Q8—111no—
1460C2×Q8—111no—
1461C2×Q8—221no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8C2×C22⋊D1111yescharacteristic
1465C2×Q8C23×D1111yescharacteristic
1466C2×Q8C23×D1111yescharacteristic
1467C2×Q8C23×D1111yescharacteristic
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—111no—
1474C2×D4—111no—
1475C2×D4—111no—
1476C2×D4—222no—
1477C2×D4—222no—
1478C2×D4—222no—
1479C2×D4—222no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—441no—
1493C2×D4—441no—
1494C2×D4—444no—
1495C2×D4—444no—
1496C2×D4—444no—
1497C2×D4—444no—
1498C2×D4C2×C22⋊D1111yescharacteristic
1499C2×D4C2×C22⋊D1111yescharacteristic
1500C2×D4C2×C22⋊D1111yescharacteristic
1501C2×D4C2×C22⋊D1111yescharacteristic
1502C2×D4C2×C22⋊D1111yescharacteristic
1503C2×D4C2×C22⋊D1111yescharacteristic
1504C2×D4C2×C22⋊D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—221no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—444no—
1528C22×C4C2×C22⋊D1111yescharacteristic
1529C22×C4C2×C22⋊D1111yescharacteristic
1530C22×C4C2×C22⋊D1111yescharacteristic
1531C22×C4C23×D1111yescharacteristic
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536Q16—441no—
1537Q16—441no—
1538Q16—441no—
1539Q16—441no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—222no—
1546SD16—222no—
1547SD16—222no—
1548SD16—222no—
1549SD16—222no—
1550SD16—222no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557D8—222no—
1558D8—222no—
1559D8—441no—
1560M16—441no—
1561M16—441no—
1562M16—441no—
1563M16—441no—
1564C2×C8—111no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—111no—
1571C2×C8—111no—
1572C2×C8—441no—
1573C2×C8—441no—
1574C2×C8—441no—
1575C2×C8—441no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—111no—
1596C4⋊C4—111no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4C2×C22⋊D1111yescharacteristic
1608C4⋊C4C2×C22⋊D1111yescharacteristic
1609C4⋊C4C2×C22⋊D1111yescharacteristic
1610C4⋊C4C2×C22⋊D1111yescharacteristic
1611C4⋊C4C2×C22⋊D1111yescharacteristic
1612C4⋊C4C2×C22⋊D1111yescharacteristic
1613C4⋊C4C23×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C4⋊C4C23×D1111yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4C2×C22⋊D1111yescharacteristic
1652C22⋊C4C2×C22⋊D1111yescharacteristic
1653C22⋊C4C2×C22⋊D1111yescharacteristic
1654C22⋊C4C2×C22⋊D1111yescharacteristic
1655C22⋊C4C2×C22⋊D1111yescharacteristic
1656C22⋊C4C2×C22⋊D1111yescharacteristic
1657C22⋊C4C2×C22⋊D1111yescharacteristic
1658C22⋊C4C2×C22⋊D1111yescharacteristic
1659C22⋊C4C2×C22⋊D1111yescharacteristic
1660C22⋊C4C2×C22⋊D1111yescharacteristic
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42—221no—
1667C42C23×D1111yescharacteristic
1668C42C23×D1111yescharacteristic
1669C11#6161311yescharacteristic, complemented, Sylow
1670C23—21no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—224no—
1675C23—221no—
1676C23—221no—
1677C23—221no—
1678C23—442no—
1679C23—442no—
1680C23—881no—
1681C23—881no—
1682C23—881no—
1683C23—881no—
1684C23—881no—
1685C23—881no—
1686C23C22×C22⋊D1111yescharacteristic
1687C23C22×C22⋊D1111yescharacteristic
1688C23C22×C22⋊D1111yescharacteristic
1689C23C22×C22⋊D1111yescharacteristic
1690C23C22×C22⋊D1111yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—41no—
1698Q8—81no—
1699Q8—81no—
1700Q8—81no—
1701Q8—221no—
1702Q8—221no—
1703Q8—221no—
1704Q8—221no—
1705Q8—221no—
1706Q8—221no—
1707Q8—442no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—112no—
1723D4—112no—
1724D4—224no—
1725D4—221no—
1726D4—221no—
1727D4—221no—
1728D4—221no—
1729D4—442no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—442no—
1735D4—442no—
1736D4—442no—
1737D4—442no—
1738D4—881no—
1739D4—881no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4C22×C22⋊D1111yescharacteristic
1785C2×C4C22×C22⋊D1111yescharacteristic
1786C2×C4C22×C22⋊D1111yescharacteristic
1787C2×C4C22×C22⋊D1111yescharacteristic
1788C2×C4C22×C22⋊D1111yescharacteristic
1789C2×C4C22×C22⋊D1111yescharacteristic
1790C2×C4C22×C22⋊D1111yescharacteristic
1791C2×C4C22×C22⋊D1111yescharacteristic
1792C2×C4C22×C22⋊D1111yescharacteristic
1793C2×C4C24×D1111yescharacteristic
1794C8—221no—
1795C8—221no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C8—221no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—82no—
1821C22—222no—
1822C22—222no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—441no—
1829C22—441no—
1830C22—884no—
1831C22—1762no—
1832C22—1762no—
1833C22C23×C22⋊D1111yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—21no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4D11×H(5,𝔽2)11yescharacteristic
1856C4D11×H(5,𝔽2)11yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—41no—
1861C2—41no—
1862C2—81no—
1863C2—442no—
1864C2—442no—
1865C2—881no—
1866C2#1308224711yescharacteristic
1867C2#1308338711yescharacteristic
1868C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3541C2
socleC22×C11C23×D4
hypercenter#3541D11
hypocenterC11#61613
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #13082258C2semidirect
2. #13080926C2semidirect
3. #13080811C2semidirect
4. #13080706C2semidirect
5. #13080691C2semidirect
6. #13080646C2semidirect
7. #13080586C2semidirect
8. #13080527C2semidirect
9. #13080445C2semidirect
10. #13080334C2semidirect
11. #13080324C2semidirect
12. #13080262C2semidirect
13. #13080248C2semidirect
14. #13080172C2semidirect
15. #13080172C2semidirect
16. #13080142C2semidirect
17. #13080127C2semidirect
18. #13079719C2semidirect
19. #13079693C2semidirect
20. #13079507C2semidirect
21. #13079492C2semidirect
22. #13079453C2semidirect
23. #13079397C2semidirect
24. #13078863C2semidirect
25. #13078794C2semidirect
26. #13077917C2semidirect
27. #13077891C2semidirect
28. #13077874C2semidirect
29. #13077832C2semidirect
30. #13077664C2semidirect
31. C11×#3541C2semidirect
36. C11×#556C22semidirect
38. C11×#554C22semidirect
40. C11×#553C22semidirect
41. C11×#552C22semidirect
42. D4×Q8×C11C22semidirect
43. C11×#548C22semidirect
44. C11×#548C22semidirect
45. C11×#547C22semidirect
47. C11×#542C22semidirect
48. C11×#541C22semidirect
55. C11×#525C22semidirect
56. C2×C11×C22⋊Q8C22semidirect
58. C2×#67003C22semidirect
59. C2×#67003C22semidirect
60. C2×#67003C22semidirect
61. C2×#67002C22semidirect
62. C2×#66995C22semidirect
63. C2×#66995C22semidirect
64. C2×#66995C22semidirect
65. C22×#4325C22semidirect
85. #10622852C22semidirect
86. #10622852C22semidirect
87. #10622852C22semidirect
88. #10622851C22semidirect
91. #10622841C22semidirect
92. #10622841C22semidirect
93. #10622841C22semidirect
94. #10622840C22semidirect
95. #10622820C22semidirect
96. C2×C22⋊(C11⋊C8)C22semidirect
97. #10622706C22semidirect
98. #10622705C22semidirect
99. #10622702C22semidirect
100. #10622700C22semidirect
101. #10622699C22semidirect
102. #10622697C22semidirect
103. #10622696C22semidirect
104. #10622696C22semidirect
105. #10622682C22semidirect
106. #10622681C22semidirect
107. #10622679C22semidirect
108. #10622679C22semidirect
109. #10622673C22semidirect
110. #10622672C22semidirect
111. #10622670C22semidirect
112. #10622670C22semidirect
113. #10622665C22semidirect
114. #10622665C22semidirect
115. #10622665C22semidirect
116. #10622665C22semidirect
117. #10622664C22semidirect
118. #10622664C22semidirect
119. #10622664C22semidirect
120. #10622664C22semidirect
121. #10622664C22semidirect
122. #10622663C22semidirect
123. #10622663C22semidirect
124. #10622663C22semidirect
125. #10622662C22semidirect
126. #10622661C22semidirect
127. #10622661C22semidirect
131. #10622660C22semidirect
132. #10622660C22semidirect
133. #10622660C22semidirect
134. #10622660C22semidirect
135. #10622660C22semidirect
136. #10622660C22semidirect
137. #10622660C22semidirect
138. #10622660C22semidirect
139. #10622660C22semidirect
143. #10622659C22semidirect
144. #10622659C22semidirect
145. #10622659C22semidirect
146. #10622658C22semidirect
147. #10622658C22semidirect
148. #10622658C22semidirect
149. #10622655C22semidirect
150. #10622655C22semidirect
151. #10622654C22semidirect
152. #10622653C22semidirect
153. #10622652C22semidirect
155. #10622650C22semidirect
156. #10622650C22semidirect
157. #10622650C22semidirect
159. #10622649C22semidirect
160. #10622648C22semidirect
161. #10622644C22semidirect
162. #10622644C22semidirect
163. #10622644C22semidirect
164. #10622641C22semidirect
165. #10622641C22semidirect
166. #10622641C22semidirect
167. #10622639C22semidirect
168. #10622639C22semidirect
169. #10622639C22semidirect
170. C4×#4325C22semidirect
171. C4×#4325C22semidirect
172. C4×#4325C22semidirect
173. #10622632C22semidirect
174. #10622629C22semidirect
175. #10622627C22semidirect
176. C4×#4323C22semidirect
177. #10622625C22semidirect
178. #10622625C22semidirect
179. #10622624C22semidirect
180. #10622624C22semidirect
181. #10622624C22semidirect
182. #10622624C22semidirect
183. D4×C11⋊C8C22semidirect
184. D4×C11⋊C8C22semidirect
185. #10622616C22semidirect
186. #10622615C22semidirect
187. #10622615C22semidirect
188. #10622615C22semidirect
189. #10622614C22semidirect
190. #10622613C22semidirect
191. #10622613C22semidirect
192. #10622609C22semidirect
193. #10622609C22semidirect
194. #10622609C22semidirect
195. #10622584C22semidirect
196. #10622584C22semidirect
197. #10622583C22semidirect
198. #10622580C22semidirect
199. #10622579C22semidirect
200. #10622579C22semidirect
201. #10622579C22semidirect
202. C2×#66873C22semidirect
736. #3541D11semidirect
911. #556C2×D11semidirect
913. #554C2×D11semidirect
915. #553C2×D11semidirect
916. #552C2×D11semidirect
917. D4×Q8C2×D11semidirect
918. #548C2×D11semidirect
919. #548C2×D11semidirect
926. #547C2×D11semidirect
934. #542C2×D11semidirect
935. #541C2×D11semidirect
947. #525C2×D11semidirect
950. C2×C22⋊Q8C2×D11semidirect
1669. C11#61613semidirect

Maximal subgroups

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

subgroupindex
#130822582
#130809262
#130808112
#130807062
#130806912
#130806462
#130805862
#130805272
#130804452
#130803342
#130803242
#130802622
#130802482
#130801722
#130801422
#130801272
#130797192
#130796932
#130795072
#130794922
#130794532
#130793972
#130788632
#130787942
#130779172
#130778912
#130778742
#130778322
#130776642
C11×#35412
#6161311