Finite Group Databasebeta

← #15647525

Subgroups — #15647525

Order 2816.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082721C211yesmaximal, characteristic, complemented
2#13081682C211yesmaximal, characteristic, complemented
3#13081658C211yesmaximal, characteristic, complemented
4#13081452C211yesmaximal, characteristic, complemented
5#13081341C211yesmaximal, characteristic, complemented
6#13080772C211yesmaximal, characteristic, complemented
7#13080757C211yesmaximal, characteristic, complemented
8#13080742C211yesmaximal, characteristic, complemented
9#13080592C211yesmaximal, characteristic, complemented
10#13080566C211yesmaximal, characteristic, complemented
11#13080451C211yesmaximal, characteristic, complemented
12#13080372C211yesmaximal, characteristic, complemented
13#13080319C211yesmaximal, characteristic, complemented
14#13080197C211yesmaximal, characteristic, complemented
15#13080167C211yesmaximal, characteristic, complemented
16#13080152C211yesmaximal, characteristic, complemented
17#13080107C211yesmaximal, characteristic, complemented
18#13080072C211yesmaximal, characteristic, complemented
19#13080027C211yesmaximal, characteristic, complemented
20#13079936C211yesmaximal, characteristic, complemented
21#13079710C211yesmaximal, characteristic, complemented
22#13079666C211yesmaximal, characteristic, complemented
23#13079653C211yesmaximal, characteristic, complemented
24#13078887C211yesmaximal, characteristic, complemented
25#13078839C211yesmaximal, characteristic, complemented
26#13078761C211yesmaximal, characteristic, complemented
27#13078151C211yesmaximal, characteristic, complemented
28#13078133C211yesmaximal, characteristic, complemented
29#13078065C211yesmaximal, characteristic, complemented
30#13077755C211yesmaximal, characteristic, complemented
31C11×#3546C211yesmaximal, characteristic, complemented
32C11×#560—21no—
33C11×#560—21no—
34C11×#556C2211yescharacteristic
35C11×#553—21no—
36C11×#550C2211yescharacteristic
37C11×#550C2211yescharacteristic
38C11×#550C2211yescharacteristic
39C11×#547C2211yescharacteristic
40C11×#546—21no—
41C11×#546C2211yescharacteristic
42C11×#546C2211yescharacteristic
43D42×C11C2211yescharacteristic
44C11×#542C2211yescharacteristic
45C11×#542C2211yescharacteristic
46C11×#538—21no—
47C11×#538—21no—
48C11×#537—21no—
49C11×#535—21no—
50C11×#535C2211yescharacteristic
51C11×#535C2211yescharacteristic
52C11×#532C2211yescharacteristic
53C11×#532C2211yescharacteristic
54C11×#529C2211yescharacteristic
55C2×#67004C2211yescharacteristic, complemented
56C2×#67003C2211yescharacteristic, complemented
57C2×#67003C2211yescharacteristic, complemented
58C2×#67003C2211yescharacteristic, complemented
59C22×#4324C2211yescharacteristic
60C2×#66985C2211yescharacteristic
61#10623237—21no—
62#10623237—21no—
63#10623224—21no—
64#10623201—21no—
65#10623195—21no—
66#10623192—21no—
67#10623171—21no—
68#10623146—21no—
69#10623116C2211yescharacteristic, complemented
70#10623098C2211yescharacteristic, complemented
71#10623096C2211yescharacteristic
72#10623094C2211yescharacteristic, complemented
73#10623084C2211yescharacteristic, complemented
74#10623083C2211yescharacteristic
75#10623083C2211yescharacteristic, complemented
76#10623072C2211yescharacteristic, complemented
77#10623066C2211yescharacteristic, complemented
78#10623065C2211yescharacteristic, complemented
79#10623054C2211yescharacteristic, complemented
80#10623047C2211yescharacteristic, complemented
81#10623010C2211yescharacteristic, complemented
82C4×#4339C2211yescharacteristic, complemented
83#10622852C2211yescharacteristic, complemented
84#10622852C2211yescharacteristic, complemented
85#10622852C2211yescharacteristic, complemented
86#10622851C2211yescharacteristic, complemented
87#10622851C2211yescharacteristic, complemented
88#10622851C2211yescharacteristic, complemented
89#10622851C2211yescharacteristic, complemented
90#10622851C2211yescharacteristic, complemented
91#10622846C2211yescharacteristic, complemented
92#10622846C2211yescharacteristic, complemented
93#10622846C2211yescharacteristic, complemented
94#10622845C2211yescharacteristic, complemented
95#10622831C2211yescharacteristic
96#10622830C2211yescharacteristic
97#10622830C2211yescharacteristic
98#10622830C2211yescharacteristic
99#10622828C2211yescharacteristic
100C2×#66896C2211yescharacteristic
101#10622707C2211yescharacteristic, complemented
102#10622704C2211yescharacteristic, complemented
103#10622703C2211yescharacteristic, complemented
104#10622700C2211yescharacteristic, complemented
105#10622699C2211yescharacteristic, complemented
106#10622697C2211yescharacteristic, complemented
107#10622696C2211yescharacteristic, complemented
108#10622695C2211yescharacteristic, complemented
109#10622688C2211yescharacteristic
110#10622688C2211yescharacteristic
111#10622688C2211yescharacteristic
112#10622688C2211yescharacteristic, complemented
113#10622688C2211yescharacteristic, complemented
114#10622688C2211yescharacteristic, complemented
115#10622687C2211yescharacteristic
116#10622687C2211yescharacteristic, complemented
117#10622686C2211yescharacteristic, complemented
118#10622685C2211yescharacteristic
119#10622685C2211yescharacteristic
120#10622685C2211yescharacteristic
121#10622685C2211yescharacteristic, complemented
122#10622684C2211yescharacteristic
123#10622684C2211yescharacteristic, complemented
124#10622683C2211yescharacteristic, complemented
125#10622672C2211yescharacteristic
126#10622671C2211yescharacteristic
127#10622670C2211yescharacteristic
128#10622670C2211yescharacteristic, complemented
129#10622670C2211yescharacteristic, complemented
130#10622670C2211yescharacteristic, complemented
131#10622670C2211yescharacteristic, complemented
132#10622669C2211yescharacteristic
133#10622668C2211yescharacteristic
134#10622667C2211yescharacteristic
135#10622667C2211yescharacteristic
136#10622667C2211yescharacteristic
137#10622667C2211yescharacteristic, complemented
138#10622667C2211yescharacteristic, complemented
139#10622667C2211yescharacteristic, complemented
140#10622667C2211yescharacteristic, complemented
141#10622664C2211yescharacteristic, complemented
142#10622663C2211yescharacteristic, complemented
143#10622662C2211yescharacteristic, complemented
144#10622662C2211yescharacteristic, complemented
145#10622661C2211yescharacteristic, complemented
146#10622660C2211yescharacteristic, complemented
147#10622658C2211yescharacteristic, complemented
148#10622656C2211yescharacteristic, complemented
149#10622655C2211yescharacteristic
150#10622654C2211yescharacteristic
151#10622654C2211yescharacteristic, complemented
152#10622653C2211yescharacteristic
153#10622652C2211yescharacteristic
154#10622651C2211yescharacteristic
155#10622651C2211yescharacteristic
156#10622651C2211yescharacteristic
157#10622651C2211yescharacteristic, complemented
158#10622650C2211yescharacteristic
159#10622650C2211yescharacteristic
160#10622650C2211yescharacteristic, complemented
161#10622648C2211yescharacteristic
162#10622648C2211yescharacteristic
163#10622648C2211yescharacteristic, complemented
164#10622647C2211yescharacteristic
165#10622643C2211yescharacteristic, complemented
166#10622643C2211yescharacteristic, complemented
167C4×#4326C2211yescharacteristic, complemented
168#10622641C2211yescharacteristic, complemented
169#10622640C2211yescharacteristic, complemented
170C4×#4325C2211yescharacteristic, complemented
171#10622637C2211yescharacteristic, complemented
172#10622637C2211yescharacteristic, complemented
173#10622635C2211yescharacteristic, complemented
174#10622634C2211yescharacteristic, complemented
175#10622631C2211yescharacteristic
176#10622631C2211yescharacteristic, complemented
177#10622631C2211yescharacteristic, complemented
178C4×#4324C2211yescharacteristic, complemented
179C4×#4324C2211yescharacteristic, complemented
180#10622629C2211yescharacteristic
181#10622629C2211yescharacteristic, complemented
182#10622629C2211yescharacteristic, complemented
183#10622628C2211yescharacteristic, complemented
184#10622627C2211yescharacteristic
185#10622627C2211yescharacteristic, complemented
186#10622627C2211yescharacteristic, complemented
187#10622624C2211yescharacteristic
188#10622624C2211yescharacteristic
189#10622624C2211yescharacteristic, complemented
190#10622624C2211yescharacteristic, complemented
191D4×C11⋊C8C2211yescharacteristic, complemented
192D4×C11⋊C8C2211yescharacteristic, complemented
193#10622622C2211yescharacteristic
194#10622622C2211yescharacteristic, complemented
195#10622622C2211yescharacteristic, complemented
196#10622620C2211yescharacteristic, complemented
197#10622613C2211yescharacteristic, complemented
198#10622613C2211yescharacteristic, complemented
199#10622612C2211yescharacteristic, complemented
200#10622612C2211yescharacteristic, complemented
201#10622539C2211yescharacteristic, complemented
202C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×C11×#41—21no—
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C2×C11×#41C2311yescharacteristic
208C2×C11×#41C2311yescharacteristic
209C22×D4×C11—21no—
210C22×D4×C11C2311yescharacteristic
211C22×D4×C11C2311yescharacteristic
212C2×#4339C2311yescharacteristic
213C2×#4339C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×C4⋊Q8C2311yescharacteristic
216C11×C4⋊Q8C2311yescharacteristic
217C11×#127—21no—
218C11×#127—21no—
219C11×#127C2311yescharacteristic
220C11×#127C2311yescharacteristic
221C11×#127C2311yescharacteristic
222C11×#127C2311yescharacteristic
223C11×#126—21no—
224C11×#126—21no—
225C11×#126—21no—
226C11×#126—21no—
227C11×#126D411yescharacteristic
228C11×#126D411yescharacteristic
229C11×#125D411yescharacteristic
230C11×#124—21no—
231C11×#124—21no—
232C11×#124—21no—
233C11×#124D411yescharacteristic
234C11×#124C2311yescharacteristic
235C11×#124C2311yescharacteristic
236C11×#124C2311yescharacteristic
237C11×#124C2311yescharacteristic
238C11×#123—21no—
239C11×#123—21no—
240C11×#123—21no—
241C11×#123—21no—
242C11×#123—21no—
243C11×#123—21no—
244C11×#123D411yescharacteristic
245C11×#123D411yescharacteristic
246C11×C22⋊Q8—21no—
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8—21no—
249C11×C22⋊Q8D411yescharacteristic
250C11×C22⋊Q8C2311yescharacteristic
251C11×C22⋊Q8C2311yescharacteristic
252C11×#121—21no—
253C11×#121—21no—
254C11×#121—21no—
255C11×#121—21no—
256C11×#121—21no—
257C11×#121—21no—
258C11×#121—21no—
259C11×#121—21no—
260C11×#121—21no—
261C11×#121—21no—
262C11×#121—21no—
263C11×#121—21no—
264C11×#121—21no—
265C11×#121—21no—
266C11×#121—21no—
267C11×#121—21no—
268C11×#121—21no—
269C11×#121—21no—
270C11×#121D411yescharacteristic
271C11×#121C2311yescharacteristic
272C11×#121C2311yescharacteristic
273C11×#121C2311yescharacteristic
274C11×#121C2311yescharacteristic
275C11×#120—21no—
276C11×#120—21no—
277C11×#120—21no—
278C11×#120—21no—
279C11×#120—21no—
280C11×#120—21no—
281C11×#120—21no—
282C11×#120—21no—
283C4×Q8×C11C2311yescharacteristic
284C4×Q8×C11C2311yescharacteristic
285C4×Q8×C11C2311yescharacteristic
286C4×D4×C11—21no—
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
297C4×D4×C11C2311yescharacteristic
298C11×#117—21no—
299C11×#117C2311yescharacteristic
300C11×#117C2311yescharacteristic
301C2×C11×C4⋊C4—21no—
302C2×C11×C22⋊C4—21no—
303C2×C11×C22⋊C4—21no—
304C2×C42×C11C2311yescharacteristic
305#67004—42no—
306#67003—42no—
307#67003—42no—
308#67003—42no—
309#67000—21no—
310#66997—21no—
311C2×#4326C2311yescharacteristic
312C2×#4326C2311yescharacteristic
313C2×#4326C2311yescharacteristic
314C2×#4326C2311yescharacteristic
315C2×#4325C2311yescharacteristic
316C2×#4325C2311yescharacteristic
317C2×#4325C2311yescharacteristic
318C2×#4325C2311yescharacteristic
319#66993—21no—
320#66992—21no—
321#66992—21no—
322#66992—21no—
323#66991—21no—
324#66988—21no—
325C2×#4324—42no—
326C2×#4324C2311yescharacteristic
327C2×#4324C2311yescharacteristic
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4324C2311yescharacteristic
331C2×#4324C2311yescharacteristic
332C2×#4324C2311yescharacteristic
333C2×#4324C2311yescharacteristic
334#66985—42no—
335C2×#4323C2311yescharacteristic
336C2×#4323C2311yescharacteristic
337C2×#4323C2311yescharacteristic
338C2×#4323C2311yescharacteristic
339C2×#4323C2311yescharacteristic
340C2×#4323C2311yescharacteristic
341C2×#4323C2311yescharacteristic
342C2×#4323C2311yescharacteristic
343#66983C2311yescharacteristic
344#66983C2311yescharacteristic
345#66983C2311yescharacteristic
346#66983C2311yescharacteristic
347#66982—21no—
348C4×C22⋊D11—21no—
349C4×C22⋊D11—21no—
350C4×C22⋊D11—21no—
351#66979C2311yescharacteristic
352#66979C2311yescharacteristic
353C2×C4⋊Dic11C2311yescharacteristic
354#66977C2311yescharacteristic
355#66977C2311yescharacteristic
356C2×#4318C2311yescharacteristic
357C2×#4318C2311yescharacteristic
358C22×C11⋊C8C2311yescharacteristic
359C22×C11⋊C8C2311yescharacteristic
360C22×C11⋊C8C2311yescharacteristic
361C22×C11⋊C8C2311yescharacteristic
362#66951—21no—
363#66951—21no—
364#66949—21no—
365#66949—21no—
366#66949—21no—
367#66947—21no—
368#66947—21no—
369#66947—21no—
370#66947—21no—
371#66946—21no—
372#66946—21no—
373#66945—21no—
374#66945—21no—
375C4⋊C4×D11—21no—
376#66942—21no—
377#66942—21no—
378#66942—21no—
379#66940—21no—
380#66940—21no—
381#66940—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66936—21no—
392#66936—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398#66932—21no—
399#66930—21no—
400#66930—21no—
401#66930—21no—
402#66929—21no—
403#66928C2311yescharacteristic
404#66928C2311yescharacteristic
405#66927C2311yescharacteristic
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410#66925—21no—
411#66925—21no—
412C42×D11—21no—
413#66923C2311yescharacteristic
414#66923C2311yescharacteristic
415#66922C2311yescharacteristic
416C4×Dic22C2311yescharacteristic
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422#66899C2311yescharacteristic
423#66899C2311yescharacteristic
424#66899C2311yescharacteristic
425#66899C2311yescharacteristic
426#66899C2311yescharacteristic
427#66899C2311yescharacteristic
428#66899C2311yescharacteristic
429#66899C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448C22⋊(C11⋊C8)C2311yescharacteristic
449C22⋊(C11⋊C8)C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452#66874C2311yescharacteristic
453#66874C2311yescharacteristic
454#66874C2311yescharacteristic
455#66874C2311yescharacteristic
456#66873C2311yescharacteristic
457#66873C2311yescharacteristic
458#66873C2311yescharacteristic
459#66873C2311yescharacteristic
460#66872C2311yescharacteristic
461#66872C2311yescharacteristic
462#66872C2311yescharacteristic
463#66872C2311yescharacteristic
464#66871C2311yescharacteristic
465#66871C2311yescharacteristic
466#66871C2311yescharacteristic
467#66871C2311yescharacteristic
468C4⋊(C11⋊C8)C2311yescharacteristic
469C4⋊(C11⋊C8)C2311yescharacteristic
470C4⋊(C11⋊C8)C2311yescharacteristic
471C4⋊(C11⋊C8)C2311yescharacteristic
472C4⋊(C11⋊C8)C2311yescharacteristic
473C4⋊(C11⋊C8)C2311yescharacteristic
474C4⋊(C11⋊C8)C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476C4⋊(C11⋊C8)C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478#66867C2311yescharacteristic
479#66867C2311yescharacteristic
480#66867C2311yescharacteristic
481#66867C2311yescharacteristic
482C4×C11⋊C8C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C24×C11—21no—
486C24×C11—21no—
487C11×#41—41no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—41no—
493C11×#41—41no—
494C11×#41—41no—
495C11×#41—82no—
496C11×#41—82no—
497C2×Q8×C11—21no—
498C2×Q8×C11C2×D411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11—21no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11—21no—
517C2×D4×C11—21no—
518C2×D4×C11—21no—
519C2×D4×C11—41no—
520C2×D4×C11—41no—
521C2×D4×C11—41no—
522C2×D4×C11—41no—
523C2×D4×C11—82no—
524C2×D4×C11C2×D411yescharacteristic
525C2×D4×C11C2×D411yescharacteristic
526C2×D4×C11C2×D411yescharacteristic
527C2×D4×C11C2411yescharacteristic
528C2×D4×C11C2411yescharacteristic
529C2×D4×C11C2411yescharacteristic
530C2×D4×C11C2411yescharacteristic
531C22×C4×C11—21no—
532C22×C4×C11—21no—
533C22×C4×C11—21no—
534C22×C4×C11—21no—
535C22×C4×C11—21no—
536C22×C4×C11—21no—
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11C2×D411yescharacteristic
540C22×C4×C11C2×D411yescharacteristic
541C22×C4×C11C2411yescharacteristic
542C22×C4×C11C2411yescharacteristic
543C22×C4×C11C2411yescharacteristic
544C2×C22⋊D11—21no—
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C22×Dic11—21no—
551C22×Dic11—21no—
552#4339—22no—
553#4339—22no—
554#4339—41no—
555#4339—41no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44C2411yescharacteristic
559C2×D44C2411yescharacteristic
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×Dic22—22no—
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—41no—
570C2×Dic22C2411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C11×C4⋊C4—21no—
573C11×C4⋊C4—21no—
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4C2×D411yescharacteristic
580C11×C4⋊C4C2×D411yescharacteristic
581C11×C4⋊C4C2×D411yescharacteristic
582C11×C4⋊C4C2×D411yescharacteristic
583C11×C4⋊C4C2×D411yescharacteristic
584C11×C4⋊C4C2×D411yescharacteristic
585C11×C4⋊C4C2×D411yescharacteristic
586C11×C4⋊C4C2×D411yescharacteristic
587C11×C4⋊C4C2×D411yescharacteristic
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C11×C22⋊C4—21no—
607C11×C22⋊C4—21no—
608C11×C22⋊C4—21no—
609C11×C22⋊C4C2×D411yescharacteristic
610C11×C22⋊C4C2×D411yescharacteristic
611C11×C22⋊C4C2×D411yescharacteristic
612C11×C22⋊C4C2×D411yescharacteristic
613C11×C22⋊C4C2×D411yescharacteristic
614C11×C22⋊C4C2×D411yescharacteristic
615C11×C22⋊C4C2×D411yescharacteristic
616C11×C22⋊C4C2×D411yescharacteristic
617C11×C22⋊C4C2×D411yescharacteristic
618C11×C22⋊C4C2×D411yescharacteristic
619C42×C11—21no—
620C42×C11—21no—
621C42×C11C2×D411yescharacteristic
622C42×C11C2×D411yescharacteristic
623C42×C11C2411yescharacteristic
624C42×C11C2411yescharacteristic
625C42×C11C2411yescharacteristic
626C42×C11C2411yescharacteristic
627C22⋊Dic11—21no—
628C22⋊Dic11—21no—
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631#4326—22no—
632#4326—22no—
633#4326—41no—
634#4326—41no—
635#4325—41no—
636#4325—41no—
637#4325—41no—
638#4325—41no—
639#4324—22no—
640#4324—22no—
641#4324—22no—
642#4324—22no—
643#4324—41no—
644#4324—41no—
645#4324—41no—
646#4324—41no—
647#4323—41no—
648#4323—41no—
649#4323—41no—
650#4323—41no—
651#4323—41no—
652#4323—41no—
653#4323—41no—
654#4323—41no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11C2411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
672C4⋊Dic11C2411yescharacteristic
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693#4318—41no—
694#4318—41no—
695C2×C11⋊C8—41no—
696C2×C11⋊C8—41no—
697C2×C11⋊C8—41no—
698C2×C11⋊C8—41no—
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702C2×C11⋊C8C2411yescharacteristic
703C2×C11⋊C8C2411yescharacteristic
704C2×C11⋊C8C2411yescharacteristic
705C2×C11⋊C8C2411yescharacteristic
706C2×C11⋊C8C2411yescharacteristic
707#3546D1111yescharacteristic, complemented
708#3524—111no—
709#3401—111no—
710#3399—111no—
711#3377—111no—
712#3368—111no—
713#3319—111no—
714#3318—111no—
715#3317—111no—
716#3307—111no—
717#3305—111no—
718#3296—111no—
719#3287—111no—
720#3282—111no—
721#3271—111no—
722#3269—111no—
723#3268—111no—
724#3265—111no—
725#3262—111no—
726#3257—111no—
727#3247—111no—
728#3224—111no—
729#3220—111no—
730#3219—111no—
731#3125—111no—
732#3121—111no—
733#3115—111no—
734#3045—111no—
735#3043—111no—
736#3035—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—21no—
742C23×C11—81no—
743C23×C11—81no—
744C23×C11—81no—
745C23×C11—81no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11C22×D411yescharacteristic
749C23×C11C22×D411yescharacteristic
750C23×C11C22×D411yescharacteristic
751C22×D11—21no—
752C22×D11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—41no—
758Q8×C11—81no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—41no—
768D4×C11—41no—
769D4×C11—41no—
770D4×C11—42no—
771D4×C11—81no—
772D4×C11—81no—
773D4×C11—81no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11—81no—
781D4×C11—81no—
782D4×C11—81no—
783D4×C11—81no—
784D4×C11—81no—
785D4×C11—81no—
786D4×C11—81no—
787D4×C11—81no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—41no—
799C2×C4×C11—41no—
800C2×C4×C11—42no—
801C2×C4×C11—42no—
802C2×C4×C11—81no—
803C2×C4×C11—81no—
804C2×C4×C11—81no—
805C2×C4×C11—81no—
806C2×C4×C11—81no—
807C2×C4×C11—81no—
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C22×D411yescharacteristic
816C2×C4×C11C22×D411yescharacteristic
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C2511yescharacteristic
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—42no—
833C2×Dic11—81no—
834D44—21no—
835D44—21no—
836D44—21no—
837D44—21no—
838D44—81no—
839D44—81no—
840C4×D11—42no—
841C4×D11—42no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846Dic22—21no—
847Dic22—21no—
848Dic22—21no—
849Dic22—42no—
850Dic22—81no—
851Dic22H(5,𝔽2)12yes—
852C11⋊C8—21no—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C11⋊C8—21no—
856C11⋊C8—21no—
857C11⋊C8—21no—
858C11⋊C8—21no—
859C11⋊C8—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135—111no—
864C2×#135—111no—
865C22×SD16—111no—
866#560—21no—
867#560—21no—
868#559—111no—
869#559—221no—
870#557—111no—
871#556C2×D1111yescharacteristic
872#555—111no—
873#555—221no—
874#553—21no—
875#553—111no—
876#553—221no—
877#552—111no—
878#552—221no—
879#550—111no—
880#550C2×D1111yescharacteristic
881#550C2×D1111yescharacteristic
882#550C2×D1111yescharacteristic
883#548—111no—
884#548—111no—
885#547C2×D1111yescharacteristic
886#546—21no—
887#546C2×D1111yescharacteristic
888#546C2×D1111yescharacteristic
889D42C2×D1111yescharacteristic
890#542—111no—
891#542—221no—
892#542C2×D1111yescharacteristic
893#542C2×D1111yescharacteristic
894#540—111no—
895#540—221no—
896#538—21no—
897#538—21no—
898#537—21no—
899#535—21no—
900#535C2×D1111yescharacteristic
901#535C2×D1111yescharacteristic
902#532C2×D1111yescharacteristic
903#532C2×D1111yescharacteristic
904#529—111no—
905#529—221no—
906#529—221no—
907#529C2×D1111yescharacteristic
908#520—111no—
909#519—111no—
910C4×#41—111no—
911#497—111no—
912#496—111no—
913#496—111no—
914#496—111no—
915#495—111no—
916#493—111no—
917#491—111no—
918#490—111no—
919#490—111no—
920#489—111no—
921#488—111no—
922#486—111no—
923#485—111no—
924#483—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479—111no—
930#478—111no—
931#478—111no—
932#478—111no—
933#477—111no—
934#477—111no—
935#476—111no—
936#475—111no—
937#474—111no—
938#474—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#467—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#466—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#462—111no—
968#461—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#460—111no—
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459—111no—
981#452—111no—
982#452—111no—
983#452—111no—
984#452—111no—
985#451—111no—
986#450—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#448—111no—
996#447—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446—111no—
1001#442—111no—
1002#442—111no—
1003#442—111no—
1004#441—111no—
1005#441—111no—
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×SD16—111no—
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017C8×D4—111no—
1018C8×D4—111no—
1019#433—111no—
1020#433—111no—
1021#432—111no—
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8—111no—
1025#418—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029#416—111no—
1030C2×#102—111no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—21no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—21no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—162no—
1053C22×C11—162no—
1054C22×C11C23×D411yescharacteristic
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—21no—
1067C4×C11—21no—
1068C4×C11—21no—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—41no—
1073C4×C11—41no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11C2×H(5,𝔽2)11yescharacteristic
1077C4×C11#58511yescharacteristic
1078Dic11—22no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—21no—
1085C2×#41—21no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41C22×D1111yescharacteristic
1089C2×#41C22×D1111yescharacteristic
1090C2×#41C22×D1111yescharacteristic
1091C2×#41C22×D1111yescharacteristic
1092C22×Q8—111no—
1093C22×D4—21no—
1094C22×D4C22×D1111yescharacteristic
1095C22×D4C22×D1111yescharacteristic
1096#137—442no—
1097AGL(1,ℤ/8)—442no—
1098#135—442no—
1099#135—442no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16—111no—
1104C2×Q16—111no—
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—111no—
1114C2×SD16—111no—
1115C2×SD16—111no—
1116C2×SD16—111no—
1117C2×SD16—442no—
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8—111no—
1125C2×D8—111no—
1126C2×M16—111no—
1127C2×M16—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8—111no—
1131C22×C8—111no—
1132C4⋊Q8—111no—
1133C4⋊Q8—221no—
1134C4⋊Q8C22×D1111yescharacteristic
1135C4⋊Q8C22×D1111yescharacteristic
1136#127—21no—
1137#127—21no—
1138#127—111no—
1139#127—221no—
1140#127C22×D1111yescharacteristic
1141#127C22×D1111yescharacteristic
1142#127C22×D1111yescharacteristic
1143#127C22×D1111yescharacteristic
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126—221no—
1152#126C22⋊D1111yescharacteristic
1153#126C22⋊D1111yescharacteristic
1154#125—111no—
1155#125—111no—
1156#125—221no—
1157#125—221no—
1158#125—221no—
1159#125C22⋊D1111yescharacteristic
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—111no—
1164#124—111no—
1165#124—221no—
1166#124—221no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124—221no—
1171#124C22⋊D1111yescharacteristic
1172#124C22×D1111yescharacteristic
1173#124C22×D1111yescharacteristic
1174#124C22×D1111yescharacteristic
1175#124C22×D1111yescharacteristic
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123C22⋊D1111yescharacteristic
1191#123C22⋊D1111yescharacteristic
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—111no—
1196C22⋊Q8—111no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8C22⋊D1111yescharacteristic
1201C22⋊Q8C22×D1111yescharacteristic
1202C22⋊Q8C22×D1111yescharacteristic
1203#121—21no—
1204#121—21no—
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—111no—
1222#121—111no—
1223#121—111no—
1224#121—111no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121C22⋊D1111yescharacteristic
1234#121C22×D1111yescharacteristic
1235#121C22×D1111yescharacteristic
1236#121C22×D1111yescharacteristic
1237#121C22×D1111yescharacteristic
1238#120—21no—
1239#120—21no—
1240#120—21no—
1241#120—21no—
1242#120—21no—
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—111no—
1252C4×Q8—221no—
1253C4×Q8—221no—
1254C4×Q8—221no—
1255C4×Q8C22×D1111yescharacteristic
1256C4×Q8C22×D1111yescharacteristic
1257C4×Q8C22×D1111yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—221no—
1268C4×D4—221no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4C22×D1111yescharacteristic
1278C4×D4C22×D1111yescharacteristic
1279C4×D4C22×D1111yescharacteristic
1280C4×D4C22×D1111yescharacteristic
1281C4×D4C22×D1111yescharacteristic
1282C4×D4C22×D1111yescharacteristic
1283C4×D4C22×D1111yescharacteristic
1284#117—21no—
1285#117—111no—
1286#117—111no—
1287#117—221no—
1288#117—221no—
1289#117—221no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117C22×D1111yescharacteristic
1295#117C22×D1111yescharacteristic
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4—111no—
1298C2×C4⋊C4—221no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C42—221no—
1302C2×C42C22×D1111yescharacteristic
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8—111no—
1314C4⋊C8—111no—
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8—111no—
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8—111no—
1358C22⋊C8—111no—
1359#97—111no—
1360#97—111no—
1361#97—111no—
1362#97—111no—
1363C4×C8—111no—
1364C4×C8—111no—
1365C2×C11—41no—
1366C2×C11—41no—
1367C2×C11—41no—
1368C2×C11—81no—
1369C2×C11—81no—
1370C2×C11—81no—
1371C2×C11—81no—
1372C2×C11#348811yescharacteristic
1373C2×C11#358411yescharacteristic
1374C2×C11#358511yescharacteristic
1375D11—81no—
1376D11—81no—
1377C24—21no—
1378C24—21no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—82no—
1388#41—82no—
1389#41—222no—
1390#41—222no—
1391#41—441no—
1392#41—441no—
1393C2×Q8—21no—
1394C2×Q8—111no—
1395C2×Q8—111no—
1396C2×Q8—222no—
1397C2×Q8—221no—
1398C2×Q8—221no—
1399C2×Q8—441no—
1400C2×Q8C2×C22⋊D1111yescharacteristic
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—82no—
1426C2×D4—111no—
1427C2×D4—111no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4C2×C22⋊D1111yescharacteristic
1437C2×D4C2×C22⋊D1111yescharacteristic
1438C2×D4C2×C22⋊D1111yescharacteristic
1439C2×D4C23×D1111yescharacteristic
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4C2×C22⋊D1111yescharacteristic
1460C22×C4C2×C22⋊D1111yescharacteristic
1461C22×C4C23×D1111yescharacteristic
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464Q16—222no—
1465Q16—222no—
1466Q16—441no—
1467Q16—441no—
1468SD16—222no—
1469SD16—222no—
1470SD16—222no—
1471SD16—222no—
1472SD16—441no—
1473SD16—441no—
1474SD16—441no—
1475SD16—441no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—441no—
1481D8—441no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—441no—
1489M16—441no—
1490C2×C8—111no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—111no—
1495C2×C8—111no—
1496C2×C8—111no—
1497C2×C8—111no—
1498C2×C8—441no—
1499C2×C8—441no—
1500C2×C8—441no—
1501C2×C8—441no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—111no—
1510C4⋊C4—111no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4C2×C22⋊D1111yescharacteristic
1528C4⋊C4C2×C22⋊D1111yescharacteristic
1529C4⋊C4C2×C22⋊D1111yescharacteristic
1530C4⋊C4C2×C22⋊D1111yescharacteristic
1531C4⋊C4C2×C22⋊D1111yescharacteristic
1532C4⋊C4C2×C22⋊D1111yescharacteristic
1533C4⋊C4C2×C22⋊D1111yescharacteristic
1534C4⋊C4C2×C22⋊D1111yescharacteristic
1535C4⋊C4C2×C22⋊D1111yescharacteristic
1536C4⋊C4C2×C22⋊D1111yescharacteristic
1537C4⋊C4C23×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4C2×C22⋊D1111yescharacteristic
1574C22⋊C4C2×C22⋊D1111yescharacteristic
1575C22⋊C4C2×C22⋊D1111yescharacteristic
1576C22⋊C4C2×C22⋊D1111yescharacteristic
1577C22⋊C4C2×C22⋊D1111yescharacteristic
1578C22⋊C4C2×C22⋊D1111yescharacteristic
1579C22⋊C4C2×C22⋊D1111yescharacteristic
1580C22⋊C4C2×C22⋊D1111yescharacteristic
1581C22⋊C4C2×C22⋊D1111yescharacteristic
1582C22⋊C4C2×C22⋊D1111yescharacteristic
1583C42—21no—
1584C42—21no—
1585C42—221no—
1586C42—221no—
1587C42—221no—
1588C42—221no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42—221no—
1593C42C2×C22⋊D1111yescharacteristic
1594C42C2×C22⋊D1111yescharacteristic
1595C42C23×D1111yescharacteristic
1596C42C23×D1111yescharacteristic
1597C42C23×D1111yescharacteristic
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—221no—
1611C23—221no—
1612C23C22×C22⋊D1111yescharacteristic
1613C23C22×C22⋊D1111yescharacteristic
1614C23C22×C22⋊D1111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—41no—
1620Q8—81no—
1621Q8—112no—
1622Q8—221no—
1623Q8—221no—
1624Q8—221no—
1625Q8—442no—
1626Q8—881no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—41no—
1637D4—41no—
1638D4—42no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—221no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—442no—
1661D4—442no—
1662D4—881no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—442no—
1695C2×C4—442no—
1696C2×C4—442no—
1697C2×C4—881no—
1698C2×C4—881no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4C22×C22⋊D1111yescharacteristic
1703C2×C4C22×C22⋊D1111yescharacteristic
1704C2×C4C22×C22⋊D1111yescharacteristic
1705C2×C4C22×C22⋊D1111yescharacteristic
1706C2×C4C22×C22⋊D1111yescharacteristic
1707C2×C4C22×C22⋊D1111yescharacteristic
1708C2×C4C22×C22⋊D1111yescharacteristic
1709C2×C4C22×C22⋊D1111yescharacteristic
1710C2×C4C22×C22⋊D1111yescharacteristic
1711C2×C4C22×C22⋊D1111yescharacteristic
1712C2×C4C22×C22⋊D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C8—221no—
1715C8—221no—
1716C8—221no—
1717C8—221no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C8—221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—162no—
1744C22—162no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22C23×C22⋊D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—222no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4D11×H(5,𝔽2)11yescharacteristic
1774C4#1062345511yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—881no—
1783C2—881no—
1784C2#1308227811yescharacteristic
1785C2#1308338711yescharacteristic
1786C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3546C2
socleC22×C11C23×D4
hypercenter#3546D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #529 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #13082721C2semidirect
2. #13081682C2semidirect
3. #13081658C2semidirect
4. #13081452C2semidirect
5. #13081341C2semidirect
6. #13080772C2semidirect
7. #13080757C2semidirect
8. #13080742C2semidirect
9. #13080592C2semidirect
10. #13080566C2semidirect
11. #13080451C2semidirect
12. #13080372C2semidirect
13. #13080319C2semidirect
14. #13080197C2semidirect
15. #13080167C2semidirect
16. #13080152C2semidirect
17. #13080107C2semidirect
18. #13080072C2semidirect
19. #13080027C2semidirect
20. #13079936C2semidirect
21. #13079710C2semidirect
22. #13079666C2semidirect
23. #13079653C2semidirect
24. #13078887C2semidirect
25. #13078839C2semidirect
26. #13078761C2semidirect
27. #13078151C2semidirect
28. #13078133C2semidirect
29. #13078065C2semidirect
30. #13077755C2semidirect
31. C11×#3546C2semidirect
55. C2×#67004C22semidirect
56. C2×#67003C22semidirect
57. C2×#67003C22semidirect
58. C2×#67003C22semidirect
69. #10623116C22semidirect
70. #10623098C22semidirect
72. #10623094C22semidirect
73. #10623084C22semidirect
75. #10623083C22semidirect
76. #10623072C22semidirect
77. #10623066C22semidirect
78. #10623065C22semidirect
79. #10623054C22semidirect
80. #10623047C22semidirect
81. #10623010C22semidirect
82. C4×#4339C22semidirect
83. #10622852C22semidirect
84. #10622852C22semidirect
85. #10622852C22semidirect
86. #10622851C22semidirect
87. #10622851C22semidirect
88. #10622851C22semidirect
89. #10622851C22semidirect
90. #10622851C22semidirect
91. #10622846C22semidirect
92. #10622846C22semidirect
93. #10622846C22semidirect
94. #10622845C22semidirect
101. #10622707C22semidirect
102. #10622704C22semidirect
103. #10622703C22semidirect
104. #10622700C22semidirect
105. #10622699C22semidirect
106. #10622697C22semidirect
107. #10622696C22semidirect
108. #10622695C22semidirect
112. #10622688C22semidirect
113. #10622688C22semidirect
114. #10622688C22semidirect
116. #10622687C22semidirect
117. #10622686C22semidirect
121. #10622685C22semidirect
123. #10622684C22semidirect
124. #10622683C22semidirect
128. #10622670C22semidirect
129. #10622670C22semidirect
130. #10622670C22semidirect
131. #10622670C22semidirect
137. #10622667C22semidirect
138. #10622667C22semidirect
139. #10622667C22semidirect
140. #10622667C22semidirect
141. #10622664C22semidirect
142. #10622663C22semidirect
143. #10622662C22semidirect
144. #10622662C22semidirect
145. #10622661C22semidirect
146. #10622660C22semidirect
147. #10622658C22semidirect
148. #10622656C22semidirect
151. #10622654C22semidirect
157. #10622651C22semidirect
160. #10622650C22semidirect
163. #10622648C22semidirect
165. #10622643C22semidirect
166. #10622643C22semidirect
167. C4×#4326C22semidirect
168. #10622641C22semidirect
169. #10622640C22semidirect
170. C4×#4325C22semidirect
171. #10622637C22semidirect
172. #10622637C22semidirect
173. #10622635C22semidirect
174. #10622634C22semidirect
176. #10622631C22semidirect
177. #10622631C22semidirect
178. C4×#4324C22semidirect
179. C4×#4324C22semidirect
181. #10622629C22semidirect
182. #10622629C22semidirect
183. #10622628C22semidirect
185. #10622627C22semidirect
186. #10622627C22semidirect
189. #10622624C22semidirect
190. #10622624C22semidirect
191. D4×C11⋊C8C22semidirect
192. D4×C11⋊C8C22semidirect
194. #10622622C22semidirect
195. #10622622C22semidirect
196. #10622620C22semidirect
197. #10622613C22semidirect
198. #10622613C22semidirect
199. #10622612C22semidirect
200. #10622612C22semidirect
201. #10622539C22semidirect
202. C2×C4⋊(C11⋊C8)C22semidirect
707. #3546D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130827212
#130816822
#130816582
#130814522
#130813412
#130807722
#130807572
#130807422
#130805922
#130805662
#130804512
#130803722
#130803192
#130801972
#130801672
#130801522
#130801072
#130800722
#130800272
#130799362
#130797102
#130796662
#130796532
#130788872
#130788392
#130787612
#130781512
#130781332
#130780652
#130777552
C11×#35462
#6202611