Finite Group Databasebeta

← #15639527

Subgroups — #15639527

Order 2816.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082270C211yesmaximal, characteristic, complemented
2#13080937C211yesmaximal, characteristic, complemented
3#13080878C211yesmaximal, characteristic, complemented
4#13080796C211yesmaximal, characteristic, complemented
5#13080736C211yesmaximal, characteristic, complemented
6#13080616C211yesmaximal, characteristic, complemented
7#13080601C211yesmaximal, characteristic, complemented
8#13080560C211yesmaximal, characteristic, complemented
9#13080512C211yesmaximal, characteristic, complemented
10#13080372C211yesmaximal, characteristic, complemented
11#13080319C211yesmaximal, characteristic, complemented
12#13080243C211yesmaximal, characteristic, complemented
13#13080232C211yesmaximal, characteristic, complemented
14#13080197C211yesmaximal, characteristic, complemented
15#13080152C211yesmaximal, characteristic, complemented
16#13080152C211yesmaximal, characteristic, complemented
17#13080107C211yesmaximal, characteristic, complemented
18#13079704C211yesmaximal, characteristic, complemented
19#13079660C211yesmaximal, characteristic, complemented
20#13079477C211yesmaximal, characteristic, complemented
21#13079462C211yesmaximal, characteristic, complemented
22#13079453C211yesmaximal, characteristic, complemented
23#13079381C211yesmaximal, characteristic, complemented
24#13078902C211yesmaximal, characteristic, complemented
25#13078839C211yesmaximal, characteristic, complemented
26#13077928C211yesmaximal, characteristic, complemented
27#13077900C211yesmaximal, characteristic, complemented
28#13077866C211yesmaximal, characteristic, complemented
29#13077832C211yesmaximal, characteristic, complemented
30#13077664C211yesmaximal, characteristic, complemented
31C11×#3542C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic, complemented
33C22×#4339C2211yescharacteristic, complemented
34C11×#562—21no—
35C11×#560—21no—
36C11×#555C2211yescharacteristic, complemented
37C11×#553C2211yescharacteristic, complemented
38C11×#552C2211yescharacteristic, complemented
39C11×#551—21no—
40C11×#550C2211yescharacteristic, complemented
41C11×#547C2211yescharacteristic, complemented
42C11×#546—21no—
43C11×#546C2211yescharacteristic, complemented
44C11×#546C2211yescharacteristic, complemented
45D42×C11C2211yescharacteristic, complemented
46C11×#542C2211yescharacteristic
47C11×#540—21no—
48C11×#540C2211yescharacteristic
49C11×#538—21no—
50C11×#537C2211yescharacteristic
51C11×#535—21no—
52C11×#535C2211yescharacteristic
53C11×#534—21no—
54C11×#525C2211yescharacteristic
55C11×#525C2211yescharacteristic
56C2×C11×#121C2211yescharacteristic
57#10623361C2211yescharacteristic, complemented
58C2×#67004C2211yescharacteristic, complemented
59C2×#67003C2211yescharacteristic, complemented
60C2×#67003C2211yescharacteristic, complemented
61C2×#67003C2211yescharacteristic, complemented
62C22×#4324C2211yescharacteristic, complemented
63C2×#66985C2211yescharacteristic
64C2×#66985C2211yescharacteristic
65C2×#66985C2211yescharacteristic, complemented
66#10623322C2211yescharacteristic, complemented
67#10623187—21no—
68#10623187—21no—
69#10623164—21no—
70#10623164—21no—
71#10623130—21no—
72#10623130—21no—
73#10623123—21no—
74#10623123—21no—
75#10623084C2211yescharacteristic
76#10623084C2211yescharacteristic, complemented
77#10623084C2211yescharacteristic, complemented
78#10623084C2211yescharacteristic, complemented
79#10623083C2211yescharacteristic
80#10623083C2211yescharacteristic, complemented
81#10623083C2211yescharacteristic, complemented
82#10623083C2211yescharacteristic, complemented
83#10623056C2211yescharacteristic, complemented
84#10623047C2211yescharacteristic, complemented
85#10622852C2211yescharacteristic, complemented
86#10622851C2211yescharacteristic, complemented
87#10622851C2211yescharacteristic, complemented
88#10622851C2211yescharacteristic, complemented
89#10622847C2211yescharacteristic, complemented
90#10622847C2211yescharacteristic, complemented
91#10622831C2211yescharacteristic, complemented
92#10622830C2211yescharacteristic, complemented
93#10622830C2211yescharacteristic, complemented
94#10622830C2211yescharacteristic, complemented
95#10622820C2211yescharacteristic, complemented
96C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
97#10622707C2211yescharacteristic, complemented
98#10622704C2211yescharacteristic, complemented
99#10622702C2211yescharacteristic, complemented
100#10622701C2211yescharacteristic, complemented
101#10622688C2211yescharacteristic, complemented
102#10622688C2211yescharacteristic, complemented
103#10622687C2211yescharacteristic, complemented
104#10622686C2211yescharacteristic, complemented
105#10622681C2211yescharacteristic, complemented
106#10622680C2211yescharacteristic, complemented
107#10622676C2211yescharacteristic, complemented
108#10622676C2211yescharacteristic, complemented
109#10622672C2211yescharacteristic, complemented
110#10622671C2211yescharacteristic, complemented
111#10622667C2211yescharacteristic, complemented
112#10622667C2211yescharacteristic, complemented
113#10622665C2211yescharacteristic, complemented
114#10622663C2211yescharacteristic, complemented
115#10622663C2211yescharacteristic, complemented
116#10622662C2211yescharacteristic, complemented
117#10622662C2211yescharacteristic, complemented
118#10622661C2211yescharacteristic, complemented
119#10622660C2211yescharacteristic, complemented
120#10622660C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622659C2211yescharacteristic, complemented
124#10622658C2211yescharacteristic, complemented
125#10622655C2211yescharacteristic, complemented
126#10622654C2211yescharacteristic, complemented
127#10622654C2211yescharacteristic, complemented
128#10622653C2211yescharacteristic
129#10622653C2211yescharacteristic, complemented
130#10622653C2211yescharacteristic, complemented
131#10622653C2211yescharacteristic, complemented
132#10622653C2211yescharacteristic, complemented
133#10622653C2211yescharacteristic, complemented
134#10622652C2211yescharacteristic, complemented
135#10622652C2211yescharacteristic, complemented
136#10622652C2211yescharacteristic, complemented
137#10622652C2211yescharacteristic, complemented
138#10622651C2211yescharacteristic, complemented
139#10622651C2211yescharacteristic, complemented
140#10622651C2211yescharacteristic, complemented
141#10622651C2211yescharacteristic, complemented
142#10622651C2211yescharacteristic, complemented
143#10622650C2211yescharacteristic
144#10622650C2211yescharacteristic
145#10622650C2211yescharacteristic
146#10622650C2211yescharacteristic
147#10622650C2211yescharacteristic
148#10622650C2211yescharacteristic, complemented
149#10622650C2211yescharacteristic, complemented
150#10622650C2211yescharacteristic, complemented
151#10622650C2211yescharacteristic, complemented
152#10622650C2211yescharacteristic, complemented
153#10622650C2211yescharacteristic, complemented
154#10622650C2211yescharacteristic, complemented
155#10622649C2211yescharacteristic
156#10622649C2211yescharacteristic, complemented
157#10622649C2211yescharacteristic, complemented
158#10622648C2211yescharacteristic
159#10622648C2211yescharacteristic, complemented
160#10622648C2211yescharacteristic, complemented
161#10622643C2211yescharacteristic, complemented
162C4×#4326C2211yescharacteristic, complemented
163#10622641C2211yescharacteristic, complemented
164#10622640C2211yescharacteristic, complemented
165#10622631C2211yescharacteristic, complemented
166#10622631C2211yescharacteristic, complemented
167#10622631C2211yescharacteristic, complemented
168C4×#4324C2211yescharacteristic, complemented
169C4×#4324C2211yescharacteristic, complemented
170C4×#4324C2211yescharacteristic, complemented
171#10622629C2211yescharacteristic, complemented
172#10622629C2211yescharacteristic, complemented
173#10622629C2211yescharacteristic, complemented
174#10622628C2211yescharacteristic, complemented
175#10622628C2211yescharacteristic, complemented
176#10622628C2211yescharacteristic, 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#10622617C2211yescharacteristic, complemented
186#10622616C2211yescharacteristic, complemented
187#10622616C2211yescharacteristic, complemented
188#10622616C2211yescharacteristic, complemented
189#10622615C2211yescharacteristic, complemented
190#10622615C2211yescharacteristic, complemented
191#10622615C2211yescharacteristic, complemented
192#10622613C2211yescharacteristic, complemented
193#10622613C2211yescharacteristic, complemented
194#10622609C2211yescharacteristic, complemented
195#10622583C2211yescharacteristic, complemented
196C2×#66874C2211yescharacteristic, complemented
197#10622581C2211yescharacteristic, complemented
198#10622581C2211yescharacteristic, complemented
199#10622580C2211yescharacteristic, complemented
200#10622579C2211yescharacteristic, complemented
201#10622579C2211yescharacteristic, complemented
202#10622579C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C22×D4×C11—21no—
208C22×D4×C11—21no—
209C22×D4×C11C2311yescharacteristic
210C22×D4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C22×C22⋊D11—21no—
213#67043—42no—
214#67043—42no—
215C2×Q8×D11—21no—
216C2×#4341—21no—
217C2×#4341—21no—
218C2×#4341—21no—
219C2×#4339—21no—
220C2×#4339—21no—
221C2×#4339—42no—
222C2×#4339—42no—
223C2×#4339C2311yescharacteristic
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C22×Dic22C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C11×C4⋊Q8C2311yescharacteristic
236C11×#127—21no—
237C11×#127—21no—
238C11×#127C2311yescharacteristic
239C11×#126—21no—
240C11×#126—21no—
241C11×#126—21no—
242C11×#125—21no—
243C11×#125C2311yescharacteristic
244C11×#124—21no—
245C11×#124—21no—
246C11×#124—21no—
247C11×#124—21no—
248C11×#124C2311yescharacteristic
249C11×#123—21no—
250C11×#123—21no—
251C11×#123—21no—
252C11×#123—21no—
253C11×#123—21no—
254C11×#123—21no—
255C11×#123—21no—
256C11×#123—21no—
257C11×#123—21no—
258C11×#123—21no—
259C11×#123D411yescharacteristic
260C11×#123D411yescharacteristic
261C11×C22⋊Q8—21no—
262C11×C22⋊Q8—21no—
263C11×C22⋊Q8—21no—
264C11×C22⋊Q8D411yescharacteristic
265C11×C22⋊Q8D411yescharacteristic
266C11×C22⋊Q8C2311yescharacteristic
267C11×C22⋊Q8C2311yescharacteristic
268C11×C22⋊Q8C2311yescharacteristic
269C11×#121—21no—
270C11×#121—21no—
271C11×#121—21no—
272C11×#121—21no—
273C11×#121—21no—
274C11×#121—21no—
275C11×#121—21no—
276C11×#121—21no—
277C11×#121—21no—
278C11×#121—21no—
279C11×#121—21no—
280C11×#121—21no—
281C11×#121—21no—
282C11×#121—21no—
283C11×#121D411yescharacteristic
284C11×#121D411yescharacteristic
285C11×#121C2311yescharacteristic
286C11×#121C2311yescharacteristic
287C11×#121C2311yescharacteristic
288C11×#121C2311yescharacteristic
289C11×#121C2311yescharacteristic
290C11×#121C2311yescharacteristic
291C11×#121C2311yescharacteristic
292C11×#121C2311yescharacteristic
293C11×#121C2311yescharacteristic
294C11×#120—21no—
295C11×#120—21no—
296C11×#120—21no—
297C11×#120—21no—
298C11×#120—21no—
299C11×#120—21no—
300C11×#120—21no—
301C11×#120D411yescharacteristic
302C11×#120D411yescharacteristic
303C4×Q8×C11C2311yescharacteristic
304C4×D4×C11—21no—
305C4×D4×C11—21no—
306C4×D4×C11—21no—
307C4×D4×C11—21no—
308C4×D4×C11C2311yescharacteristic
309C4×D4×C11C2311yescharacteristic
310C4×D4×C11C2311yescharacteristic
311C4×D4×C11C2311yescharacteristic
312C4×D4×C11C2311yescharacteristic
313C4×D4×C11C2311yescharacteristic
314C4×D4×C11C2311yescharacteristic
315C11×#117—21no—
316C11×#117—21no—
317C11×#117C2311yescharacteristic
318C11×#117C2311yescharacteristic
319C11×#117C2311yescharacteristic
320C2×C11×C4⋊C4C2311yescharacteristic
321C2×C11×C4⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4—21no—
323C2×C11×C22⋊C4—21no—
324C2×C11×C22⋊C4—21no—
325#67006—21no—
326#67004—42no—
327#67003—42no—
328#67003—42no—
329#67003—42no—
330#67000—21no—
331C2×#4326C2311yescharacteristic
332C2×#4326C2311yescharacteristic
333C2×#4326C2311yescharacteristic
334C2×#4325C2311yescharacteristic
335C2×#4325C2311yescharacteristic
336C2×#4325C2311yescharacteristic
337#66993—21no—
338#66993—21no—
339#66993—21no—
340#66993—21no—
341#66993—21no—
342#66992—21no—
343#66992—21no—
344#66992—21no—
345#66992—21no—
346#66990—21no—
347#66990—21no—
348C2×#4324—42no—
349C2×#4324C2311yescharacteristic
350C2×#4324C2311yescharacteristic
351C2×#4324C2311yescharacteristic
352C2×#4324C2311yescharacteristic
353C2×#4324C2311yescharacteristic
354C2×#4324C2311yescharacteristic
355C2×#4324C2311yescharacteristic
356C2×#4324C2311yescharacteristic
357C2×#4324C2311yescharacteristic
358#66985—42no—
359#66985—42no—
360#66985—42no—
361C2×#4323C2311yescharacteristic
362C2×#4323C2311yescharacteristic
363C2×#4323C2311yescharacteristic
364C2×#4323C2311yescharacteristic
365C2×#4323C2311yescharacteristic
366C2×#4323C2311yescharacteristic
367C2×#4323C2311yescharacteristic
368C2×#4323C2311yescharacteristic
369C2×#4323C2311yescharacteristic
370#66983C2311yescharacteristic
371#66983C2311yescharacteristic
372#66983C2311yescharacteristic
373#66983C2311yescharacteristic
374#66983C2311yescharacteristic
375#66983C2311yescharacteristic
376#66982—21no—
377C4×C22⋊D11—21no—
378C4×C22⋊D11—21no—
379#66979C2311yescharacteristic
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#66949—21no—
391#66949—21no—
392#66949—21no—
393#66949—21no—
394#66948—21no—
395#66948—21no—
396#66946—21no—
397#66946—21no—
398#66946—21no—
399#66946—21no—
400#66940—21no—
401#66940—21no—
402#66938—21no—
403#66938—21no—
404#66938—21no—
405#66938—21no—
406#66937—21no—
407#66937—21no—
408#66937—21no—
409#66937—21no—
410#66937—21no—
411#66937—21no—
412#66937—21no—
413#66937—21no—
414#66935—21no—
415#66935—21no—
416(C22⋊D11)⋊C4—21no—
417(C22⋊D11)⋊C4—21no—
418(C22⋊D11)⋊C4—21no—
419(C22⋊D11)⋊C4—21no—
420#66930—21no—
421#66930—21no—
422#66928C2311yescharacteristic
423#66928C2311yescharacteristic
424#66927C2311yescharacteristic
425#66927C2311yescharacteristic
426C4×Dic22C2311yescharacteristic
427C4×Dic22C2311yescharacteristic
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
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#61616—111nomaximal, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C24×C11C2×D411yescharacteristic
494C23×D11—21no—
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—82no—
502C2×Q8×C11—21no—
503C2×Q8×C11C2×D411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
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—21no—
520C2×D4×C11—41no—
521C2×D4×C11—41no—
522C2×D4×C11—41no—
523C2×D4×C11—41no—
524C2×D4×C11—82no—
525C2×D4×C11—82no—
526C2×D4×C11C2×D411yescharacteristic
527C2×D4×C11C2×D411yescharacteristic
528C2×D4×C11C2×D411yescharacteristic
529C2×D4×C11C2×D411yescharacteristic
530C2×D4×C11C2×D411yescharacteristic
531C2×D4×C11C2×D411yescharacteristic
532C2×D4×C11C2×D411yescharacteristic
533C2×D4×C11C2411yescharacteristic
534C2×D4×C11C2411yescharacteristic
535C2×D4×C11C2411yescharacteristic
536C22×C4×C11—21no—
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11—21no—
543C22×C4×C11—41no—
544C22×C4×C11—41no—
545C22×C4×C11C2×D411yescharacteristic
546C22×C4×C11C2×D411yescharacteristic
547C22×C4×C11C2×D411yescharacteristic
548C22×C4×C11C2411yescharacteristic
549C22×C4×C11C2411yescharacteristic
550C22×C4×C11C2411yescharacteristic
551C22×C4×C11C2411yescharacteristic
552C22×C4×C11C2411yescharacteristic
553C2×C22⋊D11—21no—
554C2×C22⋊D11—21no—
555C2×C22⋊D11—21no—
556C2×C22⋊D11—21no—
557C2×C22⋊D11—21no—
558C2×C22⋊D11—21no—
559C2×C22⋊D11—21no—
560C2×C22⋊D11—21no—
561C2×C22⋊D11—21no—
562C2×C22⋊D11—21no—
563C2×C22⋊D11—21no—
564C2×C22⋊D11—21no—
565C2×C22⋊D11—21no—
566C2×C22⋊D11—44no—
567C22×Dic11—21no—
568C22×Dic11—21no—
569C22×Dic11—21no—
570Q8×D11—44no—
571#4341—44no—
572#4341—44no—
573#4341—44no—
574#4339—22no—
575#4339—22no—
576#4339—22no—
577#4339—22no—
578#4339—22no—
579#4339—22no—
580#4339—41no—
581#4339—41no—
582#4339—41no—
583#4339—41no—
584#4339—41no—
585#4339—41no—
586#4339—41no—
587#4339—41no—
588#4339—44no—
589#4339—44no—
590C2×D44—21no—
591C2×D44—21no—
592C2×D44—21no—
593C2×D44—21no—
594C2×D44—21no—
595C2×D44—41no—
596C2×D44—41no—
597C2×D44C2411yescharacteristic
598C2×D44C2411yescharacteristic
599C2×D44C2411yescharacteristic
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—44no—
608C2×Dic22—22no—
609C2×Dic22—22no—
610C2×Dic22—22no—
611C2×Dic22—22no—
612C2×Dic22—21no—
613C2×Dic22—21no—
614C2×Dic22—21no—
615C2×Dic22—41no—
616C2×Dic22—41no—
617C2×Dic22C2411yescharacteristic
618C2×Dic22C2411yescharacteristic
619C2×Dic22C2411yescharacteristic
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4C2×D411yescharacteristic
630C11×C4⋊C4C2×D411yescharacteristic
631C11×C4⋊C4C2×D411yescharacteristic
632C11×C4⋊C4C2×D411yescharacteristic
633C11×C4⋊C4C2×D411yescharacteristic
634C11×C4⋊C4C2×D411yescharacteristic
635C11×C4⋊C4C2411yescharacteristic
636C11×C4⋊C4C2411yescharacteristic
637C11×C4⋊C4C2411yescharacteristic
638C11×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
650C11×C22⋊C4—21no—
651C11×C22⋊C4—21no—
652C11×C22⋊C4—21no—
653C11×C22⋊C4—21no—
654C11×C22⋊C4—21no—
655C11×C22⋊C4—21no—
656C11×C22⋊C4—21no—
657C11×C22⋊C4—21no—
658C11×C22⋊C4C2×D411yescharacteristic
659C11×C22⋊C4C2×D411yescharacteristic
660C11×C22⋊C4C2×D411yescharacteristic
661C11×C22⋊C4C2×D411yescharacteristic
662C11×C22⋊C4C2×D411yescharacteristic
663C11×C22⋊C4C2×D411yescharacteristic
664C11×C22⋊C4C2×D411yescharacteristic
665C11×C22⋊C4C2×D411yescharacteristic
666C11×C22⋊C4C2×D411yescharacteristic
667C11×C22⋊C4C2×D411yescharacteristic
668C42×C11—21no—
669C42×C11—21no—
670C42×C11—21no—
671C42×C11C2411yescharacteristic
672C42×C11C2411yescharacteristic
673C22⋊Dic11—21no—
674C22⋊Dic11—21no—
675C22⋊Dic11—21no—
676#4326—22no—
677#4326—22no—
678#4326—41no—
679#4325—41no—
680#4325—41no—
681#4325—41no—
682#4324—22no—
683#4324—22no—
684#4324—22no—
685#4324—22no—
686#4324—22no—
687#4324—22no—
688#4324—41no—
689#4324—41no—
690#4324—41no—
691#4323—41no—
692#4323—41no—
693#4323—41no—
694#4323—41no—
695#4323—41no—
696#4323—41no—
697#4323—41no—
698#4323—41no—
699#4323—41no—
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—
707(C2×D11)⋊C4—21no—
708(C2×D11)⋊C4—21no—
709(C2×D11)⋊C4—21no—
710C4⋊Dic11C2411yescharacteristic
711C4⋊Dic11C2411yescharacteristic
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723#4318—41no—
724#4318—41no—
725#4318—41no—
726#4318—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8—41no—
729C2×C11⋊C8—41no—
730C2×C11⋊C8—41no—
731C2×C11⋊C8C2411yescharacteristic
732C2×C11⋊C8C2411yescharacteristic
733C2×C11⋊C8C2411yescharacteristic
734C2×C11⋊C8C2411yescharacteristic
735C2×C11⋊C8C2411yescharacteristic
736C2×C11⋊C8C2411yescharacteristic
737C2×C11⋊C8C2411yescharacteristic
738C2×C11⋊C8C2411yescharacteristic
739#3542D1111yescharacteristic, complemented
740#3487—111no—
741#3332—111no—
742#3327—111no—
743#3321—111no—
744#3317—111no—
745#3309—111no—
746#3308—111no—
747#3305—111no—
748#3301—111no—
749#3287—111no—
750#3282—111no—
751#3275—111no—
752#3274—111no—
753#3271—111no—
754#3268—111no—
755#3268—111no—
756#3265—111no—
757#3224—111no—
758#3220—111no—
759#3199—111no—
760#3198—111no—
761#3197—111no—
762#3188—111no—
763#3126—111no—
764#3121—111no—
765#3013—111no—
766#3010—111no—
767#3006—111no—
768#3002—111no—
769#2976—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—41no—
774C23×C11—41no—
775C23×C11—41no—
776C23×C11—42no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11—81no—
780C23×C11—81no—
781C23×C11—81no—
782C23×C11C22×D411yescharacteristic
783C23×C11C22×D411yescharacteristic
784C23×C11C22×D411yescharacteristic
785C23×C11C22×D411yescharacteristic
786C23×C11C22×D411yescharacteristic
787C22×D11—21no—
788C22×D11—21no—
789C22×D11—21no—
790C22×D11—42no—
791C22×D11—81no—
792C22×D11—81no—
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—41no—
796Q8×C11—81no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—41no—
804D4×C11—41no—
805D4×C11—41no—
806D4×C11—41no—
807D4×C11—41no—
808D4×C11—41no—
809D4×C11—41no—
810D4×C11—42no—
811D4×C11—81no—
812D4×C11—81no—
813D4×C11—81no—
814D4×C11—81no—
815D4×C11—81no—
816D4×C11—81no—
817D4×C11—81no—
818D4×C11—81no—
819D4×C11—81no—
820D4×C11—81no—
821D4×C11—81no—
822D4×C11—81no—
823D4×C11—81no—
824D4×C11—81no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—21no—
830C2×C4×C11—21no—
831C2×C4×C11—21no—
832C2×C4×C11—21no—
833C2×C4×C11—21no—
834C2×C4×C11—21no—
835C2×C4×C11—21no—
836C2×C4×C11—21no—
837C2×C4×C11—21no—
838C2×C4×C11—21no—
839C2×C4×C11—21no—
840C2×C4×C11—41no—
841C2×C4×C11—41no—
842C2×C4×C11—41no—
843C2×C4×C11—42no—
844C2×C4×C11—81no—
845C2×C4×C11—81no—
846C2×C4×C11—81no—
847C2×C4×C11—81no—
848C2×C4×C11—81no—
849C2×C4×C11—81no—
850C2×C4×C11C22×D411yescharacteristic
851C2×C4×C11C22×D411yescharacteristic
852C2×C4×C11C22×D411yescharacteristic
853C2×C4×C11C22×D411yescharacteristic
854C2×C4×C11C22×D411yescharacteristic
855C2×C4×C11C22×D411yescharacteristic
856C2×C4×C11C22×D411yescharacteristic
857C2×C4×C11C22×D411yescharacteristic
858C2×C4×C11C22×D411yescharacteristic
859C2×C4×C11C2511yescharacteristic
860C22⋊D11—42no—
861C22⋊D11—42no—
862C22⋊D11—42no—
863C22⋊D11—42no—
864C22⋊D11—42no—
865C22⋊D11—42no—
866C22⋊D11—42no—
867C22⋊D11—81no—
868C22⋊D11—81no—
869C22⋊D11—81no—
870C22⋊D11—81no—
871C22⋊D11—81no—
872C22⋊D11—81no—
873C2×Dic11—24no—
874C2×Dic11—21no—
875C2×Dic11—21no—
876C2×Dic11—21no—
877C2×Dic11—21no—
878C2×Dic11—21no—
879C2×Dic11—42no—
880C2×Dic11—42no—
881D44—21no—
882D44—21no—
883D44—21no—
884D44—21no—
885D44—21no—
886D44—21no—
887D44—42no—
888D44—81no—
889D44—81no—
890D44—81no—
891D44—81no—
892C4×D11—42no—
893C4×D11—42no—
894C4×D11—42no—
895C4×D11—42no—
896C4×D11—42no—
897C4×D11—42no—
898C4×D11—42no—
899Dic22—24no—
900Dic22—21no—
901Dic22—21no—
902Dic22—21no—
903Dic22—21no—
904Dic22—42no—
905Dic22—42no—
906Dic22H(5,𝔽2)12yes—
907Dic22H(5,𝔽2)12yes—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C11⋊C8—21no—
912C11⋊C8—21no—
913C11⋊C8—21no—
914C11⋊C8—21no—
915C11⋊C8—21no—
916C2×2−1+4—111no—
917C22×#41—111no—
918C2×#137—111no—
919C2×AGL(1,ℤ/8)—111no—
920C2×AGL(1,ℤ/8)—111no—
921C2×AGL(1,ℤ/8)—111no—
922C2×#135—111no—
923C2×#135—111no—
924C2×#135—111no—
925C22×SD16—111no—
926#562—21no—
927#560—21no—
928#555C2×D1111yescharacteristic, complemented
929#553C2×D1111yescharacteristic, complemented
930#552C2×D1111yescharacteristic, complemented
931#551—21no—
932#550—111no—
933#550—111no—
934#550—111no—
935#550—111no—
936#550—221no—
937#550—221no—
938#550C2×D1111yescharacteristic, complemented
939#548—111no—
940#548—111no—
941#548—111no—
942#548—111no—
943#548—221no—
944#548—221no—
945#547C2×D1111yescharacteristic, complemented
946#546—21no—
947#546C2×D1111yescharacteristic, complemented
948#546C2×D1111yescharacteristic, complemented
949D42C2×D1111yescharacteristic, complemented
950#542C2×D1111yescharacteristic
951#540—21no—
952#540C2×D1111yescharacteristic
953#538—21no—
954#537C2×D1111yescharacteristic
955#535—21no—
956#535—111no—
957#535—111no—
958#535—221no—
959#535—221no—
960#535C2×D1111yescharacteristic
961#534—21no—
962#525—111no—
963#525—221no—
964#525—221no—
965#525C2×D1111yescharacteristic
966#525C2×D1111yescharacteristic
967C2×#121C2×D1111yescharacteristic
968#519—111no—
969#496—111no—
970#496—111no—
971#495—111no—
972#493—111no—
973#490—111no—
974#489—111no—
975#488—111no—
976#486—111no—
977#485—111no—
978#485—111no—
979#484—111no—
980#482—111no—
981#482—111no—
982#482—111no—
983#482—111no—
984#482—111no—
985#482—111no—
986#481—111no—
987#481—111no—
988#480—111no—
989#479—111no—
990#479—111no—
991#477—111no—
992#475—111no—
993#470—111no—
994#469—111no—
995#469—111no—
996#469—111no—
997#469—111no—
998#468—111no—
999#468—111no—
1000#468—111no—
1001#466—111no—
1002#466—111no—
1003#466—111no—
1004#466—111no—
1005#466—111no—
1006#465—111no—
1007#465—111no—
1008#465—111no—
1009#464—111no—
1010#464—111no—
1011#464—111no—
1012#463—111no—
1013#463—111no—
1014#463—111no—
1015#460—111no—
1016#460—111no—
1017#460—111no—
1018#459—111no—
1019#459—111no—
1020#459—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#451—111no—
1027#451—111no—
1028#450—111no—
1029#450—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#448—111no—
1051#447—111no—
1052#447—111no—
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447—111no—
1057#441—111no—
1058#440—111no—
1059#440—111no—
1060#440—111no—
1061C4×Q16—111no—
1062C4×SD16—111no—
1063C4×SD16—111no—
1064C4×SD16—111no—
1065#436—111no—
1066#436—111no—
1067#435—111no—
1068#435—111no—
1069#435—111no—
1070#435—111no—
1071C8×D4—111no—
1072C8×D4—111no—
1073#433—111no—
1074#433—111no—
1075#419—111no—
1076#417—111no—
1077#417—111no—
1078#417—111no—
1079#416—111no—
1080#416—111no—
1081#416—111no—
1082C2×#103—111no—
1083#408—111no—
1084#408—111no—
1085#407—111no—
1086C2×C22⋊C8—111no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—21no—
1094C22×C11—21no—
1095C22×C11—21no—
1096C22×C11—21no—
1097C22×C11—21no—
1098C22×C11—21no—
1099C22×C11—21no—
1100C22×C11—21no—
1101C22×C11—21no—
1102C22×C11—41no—
1103C22×C11—41no—
1104C22×C11—41no—
1105C22×C11—41no—
1106C22×C11—41no—
1107C22×C11—41no—
1108C22×C11—41no—
1109C22×C11—41no—
1110C22×C11—41no—
1111C22×C11—82no—
1112C22×C11—162no—
1113C22×C11—162no—
1114C22×C11C23×D411yescharacteristic
1115C2×D11—41no—
1116C2×D11—41no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—41no—
1122C2×D11—41no—
1123C2×D11—41no—
1124C2×D11—84no—
1125C4×C11—21no—
1126C4×C11—21no—
1127C4×C11—21no—
1128C4×C11—21no—
1129C4×C11—21no—
1130C4×C11—21no—
1131C4×C11—21no—
1132C4×C11—21no—
1133C4×C11—21no—
1134C4×C11—41no—
1135C4×C11—41no—
1136C4×C11—41no—
1137C4×C11—41no—
1138C4×C11—41no—
1139C4×C11C2×H(5,𝔽2)11yescharacteristic
1140C4×C11C2×H(5,𝔽2)11yescharacteristic
1141Dic11—22no—
1142Dic11—22no—
1143Dic11—41no—
1144Dic11—41no—
1145Dic11—41no—
11462−1+4—442no—
11472−1+4—442no—
1148C2×#41—21no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—111no—
1152C2×#41—111no—
1153C2×#41—111no—
1154C2×#41—111no—
1155C2×#41—111no—
1156C2×#41—221no—
1157C2×#41—221no—
1158C2×#41—221no—
1159C2×#41—221no—
1160C2×#41—221no—
1161C2×#41—442no—
1162C2×#41—442no—
1163C2×#41C22×D1111yescharacteristic
1164C2×#41C22×D1111yescharacteristic
1165C2×#41C22×D1111yescharacteristic
1166C22×Q8—111no—
1167C22×Q8—111no—
1168C22×Q8—111no—
1169C22×Q8—221no—
1170C22×D4—21no—
1171C22×D4—21no—
1172C22×D4—111no—
1173C22×D4—221no—
1174C22×D4C22×D1111yescharacteristic
1175C22×D4C22×D1111yescharacteristic
1176C23×C4—221no—
1177C23×C4C22×D1111yescharacteristic
1178#137—442no—
1179AGL(1,ℤ/8)—442no—
1180AGL(1,ℤ/8)—442no—
1181AGL(1,ℤ/8)—442no—
1182#135—442no—
1183#135—442no—
1184#135—442no—
1185C2×Q16—111no—
1186C2×Q16—111no—
1187C2×Q16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—111no—
1196C2×SD16—111no—
1197C2×SD16—111no—
1198C2×SD16—111no—
1199C2×SD16—111no—
1200C2×SD16—442no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×D8—111no—
1205C2×D8—111no—
1206C2×D8—111no—
1207C2×D8—111no—
1208C2×D8—111no—
1209C2×D8—111no—
1210C2×M16—111no—
1211C2×M16—111no—
1212C2×M16—111no—
1213C2×M16—111no—
1214C22×C8—111no—
1215C22×C8—111no—
1216C22×C8—111no—
1217C22×C8—111no—
1218C4⋊Q8C22×D1111yescharacteristic
1219#127—21no—
1220#127—21no—
1221#127—111no—
1222#127—111no—
1223#127—221no—
1224#127—221no—
1225#127—221no—
1226#127—221no—
1227#127—221no—
1228#127C22×D1111yescharacteristic
1229#126—21no—
1230#126—21no—
1231#126—21no—
1232#125—21no—
1233#125C22×D1111yescharacteristic
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124—21no—
1238#124—111no—
1239#124—111no—
1240#124—221no—
1241#124—221no—
1242#124—221no—
1243#124—221no—
1244#124—221no—
1245#124C22×D1111yescharacteristic
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—221no—
1257#123C22⋊D1111yescharacteristic
1258#123C22⋊D1111yescharacteristic
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8C22⋊D1111yescharacteristic
1269C22⋊Q8C22⋊D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272C22⋊Q8C22×D1111yescharacteristic
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—111no—
1292#121—111no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121C22⋊D1111yescharacteristic
1308#121C22⋊D1111yescharacteristic
1309#121C22×D1111yescharacteristic
1310#121C22×D1111yescharacteristic
1311#121C22×D1111yescharacteristic
1312#121C22×D1111yescharacteristic
1313#121C22×D1111yescharacteristic
1314#121C22×D1111yescharacteristic
1315#121C22×D1111yescharacteristic
1316#121C22×D1111yescharacteristic
1317#121C22×D1111yescharacteristic
1318#120—21no—
1319#120—21no—
1320#120—21no—
1321#120—21no—
1322#120—21no—
1323#120—21no—
1324#120—21no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—221no—
1329#120—221no—
1330#120C22⋊D1111yescharacteristic
1331#120C22⋊D1111yescharacteristic
1332C4×Q8—111no—
1333C4×Q8—111no—
1334C4×Q8—111no—
1335C4×Q8—111no—
1336C4×Q8—221no—
1337C4×Q8—221no—
1338C4×Q8C22×D1111yescharacteristic
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352C4×D4—221no—
1353C4×D4C22×D1111yescharacteristic
1354C4×D4C22×D1111yescharacteristic
1355C4×D4C22×D1111yescharacteristic
1356C4×D4C22×D1111yescharacteristic
1357C4×D4C22×D1111yescharacteristic
1358C4×D4C22×D1111yescharacteristic
1359C4×D4C22×D1111yescharacteristic
1360#117—21no—
1361#117—21no—
1362#117—111no—
1363#117—221no—
1364#117—221no—
1365#117C22×D1111yescharacteristic
1366#117C22×D1111yescharacteristic
1367#117C22×D1111yescharacteristic
1368C2×C4⋊C4C22×D1111yescharacteristic
1369C2×C4⋊C4C22×D1111yescharacteristic
1370C2×C22⋊C4—21no—
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—21no—
1373#107—111no—
1374#107—111no—
1375#107—111no—
1376#107—111no—
1377#106—111no—
1378#106—111no—
1379#106—111no—
1380#106—111no—
1381C4⋊C8—111no—
1382C4⋊C8—111no—
1383C4⋊C8—111no—
1384C4⋊C8—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103—111no—
1393#103—111no—
1394#103—111no—
1395#103—111no—
1396#103—111no—
1397#103—111no—
1398#103—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102—111no—
1415#102—111no—
1416#102—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8—111no—
1426C22⋊C8—111no—
1427C22⋊C8—111no—
1428C22⋊C8—111no—
1429#97—111no—
1430#97—111no—
1431C4×C8—111no—
1432C4×C8—111no—
1433C2×C11—41no—
1434C2×C11—41no—
1435C2×C11—41no—
1436C2×C11—41no—
1437C2×C11—41no—
1438C2×C11—81no—
1439C2×C11—81no—
1440C2×C11—81no—
1441C2×C11#348411yescharacteristic
1442C2×C11#358411yescharacteristic
1443C2×C11#358511yescharacteristic
1444D11—81no—
1445D11—81no—
1446D11—81no—
1447C24—21no—
1448C24—21no—
1449C24—221no—
1450C24C2×C22⋊D1111yescharacteristic
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—82no—
1458#41—222no—
1459#41—222no—
1460#41—222no—
1461#41—222no—
1462#41—222no—
1463#41—222no—
1464#41—441no—
1465#41—441no—
1466#41—441no—
1467#41—441no—
1468#41—441no—
1469#41—441no—
1470#41—441no—
1471#41—441no—
1472#41—444no—
1473#41—444no—
1474#41—444no—
1475#41—444no—
1476#41—444no—
1477C2×Q8—21no—
1478C2×Q8—111no—
1479C2×Q8—111no—
1480C2×Q8—111no—
1481C2×Q8—222no—
1482C2×Q8—222no—
1483C2×Q8—222no—
1484C2×Q8—222no—
1485C2×Q8—221no—
1486C2×Q8—221no—
1487C2×Q8—221no—
1488C2×Q8—441no—
1489C2×Q8—441no—
1490C2×Q8—444no—
1491C2×Q8C2×C22⋊D1111yescharacteristic
1492C2×Q8C23×D1111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—82no—
1513C2×D4—82no—
1514C2×D4—111no—
1515C2×D4—111no—
1516C2×D4—111no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—221no—
1533C2×D4—221no—
1534C2×D4—221no—
1535C2×D4—441no—
1536C2×D4—441no—
1537C2×D4—444no—
1538C2×D4C2×C22⋊D1111yescharacteristic
1539C2×D4C2×C22⋊D1111yescharacteristic
1540C2×D4C2×C22⋊D1111yescharacteristic
1541C2×D4C2×C22⋊D1111yescharacteristic
1542C2×D4C2×C22⋊D1111yescharacteristic
1543C2×D4C2×C22⋊D1111yescharacteristic
1544C2×D4C2×C22⋊D1111yescharacteristic
1545C2×D4C23×D1111yescharacteristic
1546C2×D4C23×D1111yescharacteristic
1547C2×D4C23×D1111yescharacteristic
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—41no—
1556C22×C4—41no—
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—444no—
1568C22×C4C2×C22⋊D1111yescharacteristic
1569C22×C4C2×C22⋊D1111yescharacteristic
1570C22×C4C2×C22⋊D1111yescharacteristic
1571C22×C4C23×D1111yescharacteristic
1572C22×C4C23×D1111yescharacteristic
1573C22×C4C23×D1111yescharacteristic
1574C22×C4C23×D1111yescharacteristic
1575C22×C4C23×D1111yescharacteristic
1576Q16—222no—
1577Q16—222no—
1578Q16—441no—
1579SD16—222no—
1580SD16—222no—
1581SD16—222no—
1582SD16—222no—
1583SD16—222no—
1584SD16—222no—
1585SD16—441no—
1586SD16—441no—
1587SD16—441no—
1588SD16—441no—
1589SD16—441no—
1590SD16—441no—
1591D8—441no—
1592D8—441no—
1593D8—441no—
1594D8—441no—
1595D8—441no—
1596D8—441no—
1597D8—441no—
1598D8—441no—
1599D8—441no—
1600M16—441no—
1601M16—441no—
1602M16—441no—
1603M16—441no—
1604C2×C8—111no—
1605C2×C8—111no—
1606C2×C8—111no—
1607C2×C8—111no—
1608C2×C8—111no—
1609C2×C8—111no—
1610C2×C8—111no—
1611C2×C8—111no—
1612C2×C8—441no—
1613C2×C8—441no—
1614C2×C8—441no—
1615C2×C8—441no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—111no—
1626C4⋊C4—111no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4C2×C22⋊D1111yescharacteristic
1634C4⋊C4C2×C22⋊D1111yescharacteristic
1635C4⋊C4C2×C22⋊D1111yescharacteristic
1636C4⋊C4C2×C22⋊D1111yescharacteristic
1637C4⋊C4C2×C22⋊D1111yescharacteristic
1638C4⋊C4C2×C22⋊D1111yescharacteristic
1639C4⋊C4C23×D1111yescharacteristic
1640C4⋊C4C23×D1111yescharacteristic
1641C4⋊C4C23×D1111yescharacteristic
1642C4⋊C4C23×D1111yescharacteristic
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4C2×C22⋊D1111yescharacteristic
1676C22⋊C4C2×C22⋊D1111yescharacteristic
1677C22⋊C4C2×C22⋊D1111yescharacteristic
1678C22⋊C4C2×C22⋊D1111yescharacteristic
1679C22⋊C4C2×C22⋊D1111yescharacteristic
1680C22⋊C4C2×C22⋊D1111yescharacteristic
1681C22⋊C4C2×C22⋊D1111yescharacteristic
1682C22⋊C4C2×C22⋊D1111yescharacteristic
1683C22⋊C4C2×C22⋊D1111yescharacteristic
1684C22⋊C4C2×C22⋊D1111yescharacteristic
1685C42—21no—
1686C42—21no—
1687C42—21no—
1688C42—221no—
1689C42—221no—
1690C42—221no—
1691C42—221no—
1692C42—221no—
1693C42C23×D1111yescharacteristic
1694C42C23×D1111yescharacteristic
1695C11#6161611yescharacteristic, complemented, Sylow
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—41no—
1700C23—41no—
1701C23—41no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—221no—
1709C23—221no—
1710C23—221no—
1711C23—442no—
1712C23—881no—
1713C23—881no—
1714C23C22×C22⋊D1111yescharacteristic
1715C23C22×C22⋊D1111yescharacteristic
1716C23C22×C22⋊D1111yescharacteristic
1717C23C22×C22⋊D1111yescharacteristic
1718C23C22×C22⋊D1111yescharacteristic
1719Q8—21no—
1720Q8—21no—
1721Q8—41no—
1722Q8—81no—
1723Q8—112no—
1724Q8—112no—
1725Q8—224no—
1726Q8—221no—
1727Q8—221no—
1728Q8—221no—
1729Q8—221no—
1730Q8—442no—
1731Q8—442no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—41no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—41no—
1745D4—42no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—221no—
1761D4—221no—
1762D4—221no—
1763D4—221no—
1764D4—221no—
1765D4—221no—
1766D4—442no—
1767D4—442no—
1768D4—442no—
1769D4—442no—
1770D4—442no—
1771D4—442no—
1772D4—442no—
1773D4—442no—
1774D4—881no—
1775D4—881no—
1776D4—881no—
1777D4—881no—
1778D4—881no—
1779D4—881no—
1780D4—881no—
1781D4—881no—
1782D4—881no—
1783D4—881no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—42no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—224no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—221no—
1814C2×C4—221no—
1815C2×C4—442no—
1816C2×C4—442no—
1817C2×C4—442no—
1818C2×C4—442no—
1819C2×C4—442no—
1820C2×C4—442no—
1821C2×C4—442no—
1822C2×C4—442no—
1823C2×C4—442no—
1824C2×C4C22×C22⋊D1111yescharacteristic
1825C2×C4C22×C22⋊D1111yescharacteristic
1826C2×C4C22×C22⋊D1111yescharacteristic
1827C2×C4C22×C22⋊D1111yescharacteristic
1828C2×C4C22×C22⋊D1111yescharacteristic
1829C2×C4C22×C22⋊D1111yescharacteristic
1830C2×C4C22×C22⋊D1111yescharacteristic
1831C2×C4C22×C22⋊D1111yescharacteristic
1832C2×C4C22×C22⋊D1111yescharacteristic
1833C2×C4C24×D1111yescharacteristic
1834C8—221no—
1835C8—221no—
1836C8—221no—
1837C8—221no—
1838C8—221no—
1839C8—221no—
1840C8—221no—
1841C8—221no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—82no—
1867C22—162no—
1868C22—162no—
1869C22—441no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—441no—
1876C22—441no—
1877C22—441no—
1878C22—884no—
1879C22C23×C22⋊D1111yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—222no—
1895C4—222no—
1896C4—441no—
1897C4—441no—
1898C4—441no—
1899C4D11×H(5,𝔽2)11yescharacteristic
1900C4D11×H(5,𝔽2)11yescharacteristic
1901C2—41no—
1902C2—41no—
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—81no—
1907C2—81no—
1908C2—81no—
1909C2—881no—
1910C2—881no—
1911C2—881no—
1912C2#1308224711yescharacteristic
1913C2#1308338711yescharacteristic
1914C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3542C2
socleC22×C11C23×D4
hypercenter#3542D11
hypocenterC11#61616
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #525 ◁ #3542

Complements

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

NH ≅ G/Ntype
1. #13082270C2semidirect
2. #13080937C2semidirect
3. #13080878C2semidirect
4. #13080796C2semidirect
5. #13080736C2semidirect
6. #13080616C2semidirect
7. #13080601C2semidirect
8. #13080560C2semidirect
9. #13080512C2semidirect
10. #13080372C2semidirect
11. #13080319C2semidirect
12. #13080243C2semidirect
13. #13080232C2semidirect
14. #13080197C2semidirect
15. #13080152C2semidirect
16. #13080152C2semidirect
17. #13080107C2semidirect
18. #13079704C2semidirect
19. #13079660C2semidirect
20. #13079477C2semidirect
21. #13079462C2semidirect
22. #13079453C2semidirect
23. #13079381C2semidirect
24. #13078902C2semidirect
25. #13078839C2semidirect
26. #13077928C2semidirect
27. #13077900C2semidirect
28. #13077866C2semidirect
29. #13077832C2semidirect
30. #13077664C2semidirect
31. C11×#3542C2semidirect
32. C2×#67043C22semidirect
33. C22×#4339C22semidirect
36. C11×#555C22semidirect
37. C11×#553C22semidirect
38. C11×#552C22semidirect
40. C11×#550C22semidirect
41. C11×#547C22semidirect
43. C11×#546C22semidirect
44. C11×#546C22semidirect
45. D42×C11C22semidirect
57. #10623361C22semidirect
58. C2×#67004C22semidirect
59. C2×#67003C22semidirect
60. C2×#67003C22semidirect
61. C2×#67003C22semidirect
62. C22×#4324C22semidirect
65. C2×#66985C22semidirect
66. #10623322C22semidirect
76. #10623084C22semidirect
77. #10623084C22semidirect
78. #10623084C22semidirect
80. #10623083C22semidirect
81. #10623083C22semidirect
82. #10623083C22semidirect
83. #10623056C22semidirect
84. #10623047C22semidirect
85. #10622852C22semidirect
86. #10622851C22semidirect
87. #10622851C22semidirect
88. #10622851C22semidirect
89. #10622847C22semidirect
90. #10622847C22semidirect
91. #10622831C22semidirect
92. #10622830C22semidirect
93. #10622830C22semidirect
94. #10622830C22semidirect
95. #10622820C22semidirect
96. C2×C22⋊(C11⋊C8)C22semidirect
97. #10622707C22semidirect
98. #10622704C22semidirect
99. #10622702C22semidirect
100. #10622701C22semidirect
101. #10622688C22semidirect
102. #10622688C22semidirect
103. #10622687C22semidirect
104. #10622686C22semidirect
105. #10622681C22semidirect
106. #10622680C22semidirect
107. #10622676C22semidirect
108. #10622676C22semidirect
109. #10622672C22semidirect
110. #10622671C22semidirect
111. #10622667C22semidirect
112. #10622667C22semidirect
113. #10622665C22semidirect
114. #10622663C22semidirect
115. #10622663C22semidirect
116. #10622662C22semidirect
117. #10622662C22semidirect
118. #10622661C22semidirect
119. #10622660C22semidirect
120. #10622660C22semidirect
121. #10622660C22semidirect
122. #10622660C22semidirect
123. #10622659C22semidirect
124. #10622658C22semidirect
125. #10622655C22semidirect
126. #10622654C22semidirect
127. #10622654C22semidirect
129. #10622653C22semidirect
130. #10622653C22semidirect
131. #10622653C22semidirect
132. #10622653C22semidirect
133. #10622653C22semidirect
134. #10622652C22semidirect
135. #10622652C22semidirect
136. #10622652C22semidirect
137. #10622652C22semidirect
138. #10622651C22semidirect
139. #10622651C22semidirect
140. #10622651C22semidirect
141. #10622651C22semidirect
142. #10622651C22semidirect
148. #10622650C22semidirect
149. #10622650C22semidirect
150. #10622650C22semidirect
151. #10622650C22semidirect
152. #10622650C22semidirect
153. #10622650C22semidirect
154. #10622650C22semidirect
156. #10622649C22semidirect
157. #10622649C22semidirect
159. #10622648C22semidirect
160. #10622648C22semidirect
161. #10622643C22semidirect
162. C4×#4326C22semidirect
163. #10622641C22semidirect
164. #10622640C22semidirect
165. #10622631C22semidirect
166. #10622631C22semidirect
167. #10622631C22semidirect
168. C4×#4324C22semidirect
169. C4×#4324C22semidirect
170. C4×#4324C22semidirect
171. #10622629C22semidirect
172. #10622629C22semidirect
173. #10622629C22semidirect
174. #10622628C22semidirect
175. #10622628C22semidirect
176. #10622628C22semidirect
177. #10622625C22semidirect
178. #10622625C22semidirect
179. #10622624C22semidirect
180. #10622624C22semidirect
181. #10622624C22semidirect
182. #10622624C22semidirect
183. D4×C11⋊C8C22semidirect
184. D4×C11⋊C8C22semidirect
185. #10622617C22semidirect
186. #10622616C22semidirect
187. #10622616C22semidirect
188. #10622616C22semidirect
189. #10622615C22semidirect
190. #10622615C22semidirect
191. #10622615C22semidirect
192. #10622613C22semidirect
193. #10622613C22semidirect
194. #10622609C22semidirect
195. #10622583C22semidirect
196. C2×#66874C22semidirect
197. #10622581C22semidirect
198. #10622581C22semidirect
199. #10622580C22semidirect
200. #10622579C22semidirect
201. #10622579C22semidirect
202. #10622579C22semidirect
739. #3542D11semidirect
928. #555C2×D11semidirect
929. #553C2×D11semidirect
930. #552C2×D11semidirect
938. #550C2×D11semidirect
945. #547C2×D11semidirect
947. #546C2×D11semidirect
948. #546C2×D11semidirect
949. D42C2×D11semidirect
1695. C11#61616semidirect

Maximal subgroups

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

subgroupindex
#130822702
#130809372
#130808782
#130807962
#130807362
#130806162
#130806012
#130805602
#130805122
#130803722
#130803192
#130802432
#130802322
#130801972
#130801522
#130801072
#130797042
#130796602
#130794772
#130794622
#130794532
#130793812
#130789022
#130788392
#130779282
#130779002
#130778662
#130778322
#130776642
C11×#35422
#6161611