Finite Group Databasebeta

← #14960496

Subgroups — #14960496

Order 2816.

1304 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076890C211yesmaximal, characteristic
2#13076867C211yesmaximal, characteristic
3#13076865C211yesmaximal, characteristic
4#13076863C211yesmaximal, characteristic
5#13076861C211yesmaximal, characteristic
6#13076859C211yesmaximal, characteristic
7#13076858C211yesmaximal, characteristic
8#13076857C211yesmaximal, characteristic
9#13076856C211yesmaximal, characteristic
10#13076855C211yesmaximal, characteristic
11#13076854C211yesmaximal, characteristic
12#13076853C211yesmaximal, characteristic
13#13076686C211yesmaximal, characteristic
14#13076685C211yesmaximal, characteristic
15#13076682C211yesmaximal, characteristic
16#13071922C211yesmaximal, characteristic
17#13071922C211yesmaximal, characteristic
18#13071922C211yesmaximal, characteristic
19#13071922C211yesmaximal, characteristic
20#13071922C211yesmaximal, characteristic
21#13071922C211yesmaximal, characteristic
22#13071922C211yesmaximal, characteristic
23#13071920C211yesmaximal, characteristic
24#13071920C211yesmaximal, characteristic
25#13071920C211yesmaximal, characteristic
26#13071920C211yesmaximal, characteristic
27#13071920C211yesmaximal, characteristic
28#13071175C211yesmaximal, characteristic
29#13071173C211yesmaximal, characteristic
30#13071173C211yesmaximal, characteristic
31C11×#2839C211yesmaximal, characteristic
32C2×#66943C2211yescharacteristic
33C2×#66942C2211yescharacteristic
34C2×#66942C2211yescharacteristic
35C11×#400C2211yescharacteristic
36C11×#400C2211yescharacteristic
37C11×#400C2211yescharacteristic
38C11×#400C2211yescharacteristic
39C11×#400C2211yescharacteristic
40C11×#400C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#398C2211yescharacteristic
43C11×#398C2211yescharacteristic
44C11×#398C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#398C2211yescharacteristic
47C11×#389C2211yescharacteristic
48C11×#387C2211yescharacteristic
49C11×#387C2211yescharacteristic
50#10622599C2211yescharacteristic
51#10622599C2211yescharacteristic
52#10622599C2211yescharacteristic
53#10622599C2211yescharacteristic
54#10622599C2211yescharacteristic
55#10622597C2211yescharacteristic
56#10622597C2211yescharacteristic
57#10622597C2211yescharacteristic
58#10622597C2211yescharacteristic
59#10622597C2211yescharacteristic
60#10622597C2211yescharacteristic
61#10622597C2211yescharacteristic
62#10622597C2211yescharacteristic
63#10622597C2211yescharacteristic
64#10622597C2211yescharacteristic
65#10622597C2211yescharacteristic
66#10622597C2211yescharacteristic
67#10622596C2211yescharacteristic
68#10622596C2211yescharacteristic
69#10622596C2211yescharacteristic
70#10622596C2211yescharacteristic
71#10622596C2211yescharacteristic
72#10622595C2211yescharacteristic
73#10622595C2211yescharacteristic
74#10622595C2211yescharacteristic
75#10622595C2211yescharacteristic
76#10622595C2211yescharacteristic
77#10622593C2211yescharacteristic
78#10622593C2211yescharacteristic
79#10622593C2211yescharacteristic
80#10622593C2211yescharacteristic
81#10622593C2211yescharacteristic
82#10622593C2211yescharacteristic
83#10622593C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622590C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98C4⋊C4×Dic11C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622546C2211yescharacteristic
104#10622546C2211yescharacteristic
105C42×Dic11C2211yescharacteristic
106#10622541C2211yescharacteristic
107#10622274C2211yescharacteristic
108#10622274C2211yescharacteristic
109#10622274C2211yescharacteristic
110#10622274C2211yescharacteristic
111#10622274C2211yescharacteristic
112#10622273C2211yescharacteristic
113#10622273C2211yescharacteristic
114#10622273C2211yescharacteristic
115#10622273C2211yescharacteristic
116#10622273C2211yescharacteristic
117#10622273C2211yescharacteristic
118#10622273C2211yescharacteristic
119#10622273C2211yescharacteristic
120#10622273C2211yescharacteristic
121#10622273C2211yescharacteristic
122#10622273C2211yescharacteristic
123#10622273C2211yescharacteristic
124#10622272C2211yescharacteristic
125#10622272C2211yescharacteristic
126#10622272C2211yescharacteristic
127#10622272C2211yescharacteristic
128#10622272C2211yescharacteristic
129#10622271C2211yescharacteristic
130#10622271C2211yescharacteristic
131#10622271C2211yescharacteristic
132#10622271C2211yescharacteristic
133#10622271C2211yescharacteristic
134#10622271C2211yescharacteristic
135#10622271C2211yescharacteristic
136#10622271C2211yescharacteristic
137#10622271C2211yescharacteristic
138#10622271C2211yescharacteristic
139#10622271C2211yescharacteristic
140#10622271C2211yescharacteristic
141#10622271C2211yescharacteristic
142#10622271C2211yescharacteristic
143#10622270C2211yescharacteristic
144#10622270C2211yescharacteristic
145#10622270C2211yescharacteristic
146#10622270C2211yescharacteristic
147#10622270C2211yescharacteristic
148#10622270C2211yescharacteristic
149#10622270C2211yescharacteristic
150#10622270C2211yescharacteristic
151#10622270C2211yescharacteristic
152#10622270C2211yescharacteristic
153#10622270C2211yescharacteristic
154#10622270C2211yescharacteristic
155#10622270C2211yescharacteristic
156#10622270C2211yescharacteristic
157#10622268C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622266C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622263C2211yescharacteristic
164#10622263C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187C2×C11×C4⋊C4C2311yescharacteristic
188C2×C11×C4⋊C4C2311yescharacteristic
189C2×C11×C4⋊C4C2311yescharacteristic
190C2×C11×C4⋊C4C2311yescharacteristic
191C2×C11×C4⋊C4C2311yescharacteristic
192C2×C11×C4⋊C4C2311yescharacteristic
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C42×C11C2311yescharacteristic
202C2×C4⋊Dic11C2311yescharacteristic
203C2×C4⋊Dic11C2311yescharacteristic
204C2×C4⋊Dic11C2311yescharacteristic
205C2×C4⋊Dic11C2311yescharacteristic
206C2×C4⋊Dic11C2311yescharacteristic
207C2×C4⋊Dic11C2311yescharacteristic
208C2×C4⋊Dic11C2311yescharacteristic
209C2×C4⋊Dic11C2311yescharacteristic
210C2×C4⋊Dic11C2311yescharacteristic
211C2×C4⋊Dic11C2311yescharacteristic
212C2×C4⋊Dic11C2311yescharacteristic
213C2×C4⋊Dic11C2311yescharacteristic
214C2×C4⋊Dic11C2311yescharacteristic
215C2×C4⋊Dic11C2311yescharacteristic
216C2×Dic11⋊C4C2311yescharacteristic
217C2×Dic11⋊C4C2311yescharacteristic
218C2×Dic11⋊C4C2311yescharacteristic
219C2×Dic11⋊C4C2311yescharacteristic
220C2×Dic11⋊C4C2311yescharacteristic
221C2×Dic11⋊C4C2311yescharacteristic
222C2×Dic11⋊C4C2311yescharacteristic
223C2×Dic11⋊C4C2311yescharacteristic
224C2×Dic11⋊C4C2311yescharacteristic
225C2×Dic11⋊C4C2311yescharacteristic
226C2×Dic11⋊C4C2311yescharacteristic
227C2×Dic11⋊C4C2311yescharacteristic
228C2×Dic11⋊C4C2311yescharacteristic
229C2×Dic11⋊C4C2311yescharacteristic
230C2×Dic11⋊C4C2311yescharacteristic
231C2×Dic11⋊C4C2311yescharacteristic
232C2×Dic11⋊C4C2311yescharacteristic
233C2×Dic11⋊C4C2311yescharacteristic
234C2×Dic11⋊C4C2311yescharacteristic
235C2×Dic11⋊C4C2311yescharacteristic
236C2×Dic11⋊C4C2311yescharacteristic
237C2×Dic11⋊C4C2311yescharacteristic
238C2×Dic11⋊C4C2311yescharacteristic
239C2×Dic11⋊C4C2311yescharacteristic
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×C4×Dic11C2311yescharacteristic
249C2×C4×Dic11C2311yescharacteristic
250C2×C4×Dic11C2311yescharacteristic
251C2×C4×Dic11C2311yescharacteristic
252C2×C4×Dic11C2311yescharacteristic
253C2×C4×Dic11C2311yescharacteristic
254C2×C4×Dic11C2311yescharacteristic
255C2×C4×Dic11C2311yescharacteristic
256C2×C4×Dic11C2311yescharacteristic
257C2×C4×Dic11C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C2×C4×Dic11C2311yescharacteristic
263C2×C4×Dic11C2311yescharacteristic
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266#66943—24no—
267#66942—24no—
268#66942—24no—
269C11×#95C2311yescharacteristic
270C11×#95C2311yescharacteristic
271C11×#95C2311yescharacteristic
272C11×#95C2311yescharacteristic
273C11×#95C2311yescharacteristic
274C11×#95C2311yescharacteristic
275C11×#95C2311yescharacteristic
276C11×#95C2311yescharacteristic
277C11×#95C2311yescharacteristic
278C11×#95C2311yescharacteristic
279C11×#95C2311yescharacteristic
280C11×#95C2311yescharacteristic
281C11×#95C2311yescharacteristic
282C11×#95C2311yescharacteristic
283C11×#95C2311yescharacteristic
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11×#95C2311yescharacteristic
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11⋊#95C2311yescharacteristic
290C11⋊#95C2311yescharacteristic
291C11⋊#95C2311yescharacteristic
292C11⋊#95C2311yescharacteristic
293C11⋊#95C2311yescharacteristic
294C11⋊#95C2311yescharacteristic
295C11⋊#95C2311yescharacteristic
296C11⋊#95C2311yescharacteristic
297C11⋊#95C2311yescharacteristic
298C11⋊#95C2311yescharacteristic
299C11⋊#95C2311yescharacteristic
300C11⋊#95C2311yescharacteristic
301C11⋊#95C2311yescharacteristic
302C11⋊#95C2311yescharacteristic
303C11⋊#95C2311yescharacteristic
304C11⋊#95C2311yescharacteristic
305C11⋊#95C2311yescharacteristic
306C11⋊#95C2311yescharacteristic
307C11⋊#95C2311yescharacteristic
308C11⋊#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345#36701—111nomaximal, Sylow
346C22×C4×C11C2411yescharacteristic
347C22×C4×C11C2411yescharacteristic
348C22×C4×C11C2411yescharacteristic
349C22×C4×C11C2411yescharacteristic
350C22×C4×C11C2411yescharacteristic
351C22×C4×C11C2411yescharacteristic
352C22×C4×C11C2411yescharacteristic
353C22×C4×C11C2411yescharacteristic
354C22×C4×C11C2411yescharacteristic
355C22×C4×C11C2411yescharacteristic
356C22×C4×C11C2411yescharacteristic
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2411yescharacteristic
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×Dic11C2411yescharacteristic
362C22×Dic11C2411yescharacteristic
363C22×Dic11C2411yescharacteristic
364C22×Dic11C2411yescharacteristic
365C22×Dic11C2411yescharacteristic
366C22×Dic11C2411yescharacteristic
367C22×Dic11C2411yescharacteristic
368C22×Dic11C2411yescharacteristic
369C22×Dic11C2411yescharacteristic
370C22×Dic11C2411yescharacteristic
371C22×Dic11C2411yescharacteristic
372C22×Dic11C2411yescharacteristic
373C22×Dic11C2411yescharacteristic
374C22×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C11×C4⋊C4—22no—
378C11×C4⋊C4—22no—
379C11×C4⋊C4—22no—
380C11×C4⋊C4—41no—
381C11×C4⋊C4—41no—
382C11×C4⋊C4—41no—
383C11×C4⋊C4—41no—
384C11×C4⋊C4—41no—
385C11×C4⋊C4—41no—
386C11×C4⋊C4—41no—
387C11×C4⋊C4—41no—
388C11×C4⋊C4—41no—
389C11×C4⋊C4—41no—
390C11×C4⋊C4—41no—
391C42×C11—41no—
392C4⋊Dic11—22no—
393C4⋊Dic11—22no—
394C4⋊Dic11—22no—
395C4⋊Dic11—22no—
396C4⋊Dic11—22no—
397C4⋊Dic11—41no—
398C4⋊Dic11—41no—
399C4⋊Dic11—41no—
400C4⋊Dic11—41no—
401C4⋊Dic11—41no—
402C4⋊Dic11—41no—
403C4⋊Dic11—41no—
404C4⋊Dic11—41no—
405C4⋊Dic11—41no—
406Dic11⋊C4—22no—
407Dic11⋊C4—22no—
408Dic11⋊C4—22no—
409Dic11⋊C4—22no—
410Dic11⋊C4—22no—
411Dic11⋊C4—22no—
412Dic11⋊C4—22no—
413Dic11⋊C4—22no—
414Dic11⋊C4—22no—
415Dic11⋊C4—22no—
416Dic11⋊C4—41no—
417Dic11⋊C4—41no—
418Dic11⋊C4—41no—
419Dic11⋊C4—41no—
420Dic11⋊C4—41no—
421Dic11⋊C4—41no—
422Dic11⋊C4—41no—
423Dic11⋊C4—41no—
424Dic11⋊C4—41no—
425Dic11⋊C4—41no—
426Dic11⋊C4—41no—
427Dic11⋊C4—41no—
428Dic11⋊C4—41no—
429Dic11⋊C4—41no—
430Dic11⋊C4—41no—
431Dic11⋊C4—41no—
432Dic11⋊C4—41no—
433Dic11⋊C4—41no—
434Dic11⋊C4—41no—
435Dic11⋊C4—41no—
436Dic11⋊C4—41no—
437Dic11⋊C4—41no—
438C4×Dic11—22no—
439C4×Dic11—22no—
440C4×Dic11—22no—
441C4×Dic11—22no—
442C4×Dic11—22no—
443C4×Dic11—22no—
444C4×Dic11—22no—
445C4×Dic11—22no—
446C4×Dic11—22no—
447C4×Dic11—22no—
448C4×Dic11—22no—
449C4×Dic11—22no—
450C4×Dic11—22no—
451C4×Dic11—22no—
452C4×Dic11—22no—
453C4×Dic11—41no—
454C4×Dic11—41no—
455C4×Dic11#4114yes—
456#2845—111no—
457#2839—111no—
458#2839—111no—
459#2839—111no—
460#2839—111no—
461#2839—111no—
462#2839—111no—
463#2839—111no—
464#2839—111no—
465#2839—111no—
466#2839—111no—
467#2839—111no—
468#2839D1111yescharacteristic
469#2822—111no—
470#2822—111no—
471#2822—111no—
472#2402—111no—
473#2402—111no—
474#2402—111no—
475#2402—111no—
476#2402—111no—
477#2402—111no—
478#2402—111no—
479#2402—111no—
480#2402—111no—
481#2402—111no—
482#2402—111no—
483#2402—111no—
484C4×#125—111no—
485C4×#125—111no—
486C4×#125—111no—
487C23×C11C2511yescharacteristic
488C2×C4×C11—21no—
489C2×C4×C11—21no—
490C2×C4×C11—21no—
491C2×C4×C11—21no—
492C2×C4×C11—21no—
493C2×C4×C11—21no—
494C2×C4×C11—21no—
495C2×C4×C11—21no—
496C2×C4×C11—21no—
497C2×C4×C11—21no—
498C2×C4×C11—21no—
499C2×C4×C11—21no—
500C2×C4×C11—21no—
501C2×C4×C11—21no—
502C2×C4×C11—21no—
503C2×C4×C11—21no—
504C2×C4×C11—21no—
505C2×C4×C11—21no—
506C2×C4×C11—21no—
507C2×C4×C11—21no—
508C2×C4×C11—21no—
509C2×C4×C11—21no—
510C2×C4×C11—21no—
511C2×C4×C11—21no—
512C2×C4×C11—21no—
513C2×C4×C11—21no—
514C2×C4×C11—21no—
515C2×C4×C11—21no—
516C2×C4×C11—21no—
517C2×C4×C11—21no—
518C2×C4×C11—21no—
519C2×C4×C11—21no—
520C2×C4×C11—21no—
521C2×C4×C11—21no—
522C2×C4×C11—21no—
523C2×C4×C11—21no—
524C2×C4×C11—21no—
525C2×C4×C11—21no—
526C2×C4×C11—21no—
527C2×C4×C11—21no—
528C2×C4×C11—21no—
529C2×C4×C11—21no—
530C2×C4×C11—21no—
531C2×C4×C11—21no—
532C2×C4×C11C2×#4112yes—
533C2×Dic11—21no—
534C2×Dic11—21no—
535C2×Dic11—21no—
536C2×Dic11—21no—
537C2×Dic11—21no—
538C2×Dic11—21no—
539C2×Dic11—21no—
540C2×Dic11—21no—
541C2×Dic11—21no—
542C2×Dic11—21no—
543C2×Dic11—21no—
544C2×Dic11—21no—
545C2×Dic11—21no—
546C2×Dic11—21no—
547C2×Dic11—21no—
548C2×Dic11—21no—
549C2×Dic11—21no—
550C2×Dic11—21no—
551C2×Dic11—21no—
552C2×Dic11—21no—
553C2×Dic11—21no—
554C2×Dic11—21no—
555C2×Dic11—21no—
556C2×Dic11—21no—
557C2×Dic11—21no—
558C2×Dic11—21no—
559C2×Dic11—21no—
560C2×Dic11—21no—
561C2×Dic11—21no—
562C2×Dic11—21no—
563C2×Dic11—21no—
564C2×Dic11—21no—
565C2×Dic11—21no—
566C2×Dic11—21no—
567C2×Dic11—21no—
568C2×Dic11—21no—
569C2×Dic11—21no—
570C2×Dic11—21no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—21no—
576C2×Dic11C2×#4112yes—
577C2×Dic11C2×#4112yes—
578C2×Dic112−1+412yes—
579C2×Dic112−1+412yes—
580C2×Dic112−1+412yes—
581C2×#125—111no—
582C2×#125—111no—
583C2×#125—111no—
584#400—111no—
585#400—111no—
586#400—111no—
587#400—111no—
588#400—111no—
589#400—111no—
590#400—111no—
591#400—111no—
592#400—111no—
593#400—111no—
594#400—111no—
595#400—111no—
596#400—111no—
597#400—111no—
598#400—111no—
599#400—111no—
600#400—111no—
601#400—111no—
602#400—111no—
603#400—111no—
604#400—111no—
605#400—111no—
606#400—111no—
607#400—111no—
608#400—111no—
609#400—111no—
610#400—111no—
611#400—111no—
612#400—111no—
613#400—111no—
614#400—111no—
615#400—111no—
616#400—111no—
617#400—111no—
618#400—111no—
619#400—111no—
620#400—111no—
621#400—111no—
622#400—111no—
623#400—111no—
624#400—111no—
625#400C2×D1111yescharacteristic
626#400C2×D1111yescharacteristic
627#400C2×D1111yescharacteristic
628#400C2×D1111yescharacteristic
629#400C2×D1111yescharacteristic
630#400C2×D1111yescharacteristic
631#400C2×D1111yescharacteristic
632#398—111no—
633#398—111no—
634#398—111no—
635#398—111no—
636#398—111no—
637#398—111no—
638#398—111no—
639#398—111no—
640#398—111no—
641#398—111no—
642#398—111no—
643#398—111no—
644#398—111no—
645#398—111no—
646#398—111no—
647#398—111no—
648#398—111no—
649#398—111no—
650#398—111no—
651#398—111no—
652#398—111no—
653#398—111no—
654#398—111no—
655#398—111no—
656#398—111no—
657#398—111no—
658#398—111no—
659#398—111no—
660#398—111no—
661#398—111no—
662#398—111no—
663#398—111no—
664#398—111no—
665#398—111no—
666#398—111no—
667#398—111no—
668#398—111no—
669#398—111no—
670#398—111no—
671#398—111no—
672#398—111no—
673#398—111no—
674#398—111no—
675#398C2×D1111yescharacteristic
676#398C2×D1111yescharacteristic
677#398C2×D1111yescharacteristic
678#398C2×D1111yescharacteristic
679#398C2×D1111yescharacteristic
680#389—111no—
681#389—111no—
682#389—111no—
683#389—111no—
684#389—111no—
685#389C2×D1111yescharacteristic
686#387—111no—
687#387—111no—
688#387—111no—
689#387—111no—
690#387—111no—
691#387—111no—
692#387—111no—
693#387—111no—
694#387—111no—
695#387—111no—
696#387C2×D1111yescharacteristic
697#387C2×D1111yescharacteristic
698#382—111no—
699#382—111no—
700#382—111no—
701C4×C4⋊C4—111no—
702C4×C4⋊C4—111no—
703C4×C4⋊C4—111no—
704C4×C4⋊C4—111no—
705C4×C4⋊C4—111no—
706C4×C4⋊C4—111no—
707C4×C4⋊C4—111no—
708C4×C4⋊C4—111no—
709C4×C4⋊C4—111no—
710C4×C4⋊C4—111no—
711C4×C4⋊C4—111no—
712C4×C4⋊C4—111no—
713C4×C4⋊C4—111no—
714C4×C4⋊C4—111no—
715C4×C4⋊C4—111no—
716C4×C4⋊C4—111no—
717C4×C4⋊C4—111no—
718C4×C4⋊C4—111no—
719C4×C4⋊C4—111no—
720C4×C4⋊C4—111no—
721C4×C4⋊C4—111no—
722C4×C4⋊C4—111no—
723C4×C4⋊C4—111no—
724C4×C4⋊C4—111no—
725C4×C4⋊C4—111no—
726C4×C4⋊C4—111no—
727C4×C4⋊C4—111no—
728C4×C4⋊C4—111no—
729C4×C4⋊C4—111no—
730C4×C4⋊C4—111no—
731#376—111no—
732#376—111no—
733#376—111no—
734#376—111no—
735C43—111no—
736C22×C11C22×#4111yescharacteristic
737C22×C11C2×2−1+411yescharacteristic
738C22×C11C2×2−1+411yescharacteristic
739C22×C11C2×2−1+411yescharacteristic
740C22×C11#58511yescharacteristic
741C22×C11#58511yescharacteristic
742C22×C11#58511yescharacteristic
743C4×C11—22no—
744C4×C11—41no—
745C4×C11—41no—
746C4×C11—41no—
747C4×C11—41no—
748C4×C11—41no—
749C4×C11—41no—
750C4×C11—41no—
751C4×C11—41no—
752C4×C11—41no—
753C4×C11—41no—
754C4×C11—41no—
755C4×C11—41no—
756C4×C11—41no—
757C4×C11—41no—
758Dic11—22no—
759Dic11—22no—
760Dic11—41no—
761Dic11—41no—
762Dic11—41no—
763Dic11—41no—
764Dic11—41no—
765Dic11—41no—
766Dic11—41no—
767Dic11—41no—
768Dic11—41no—
769Dic11—41no—
770Dic11—41no—
771Dic11—41no—
772Dic11—41no—
773Dic11#56414yes—
774#125—224no—
775#125—224no—
776#125—224no—
777C2×C4⋊C4—111no—
778C2×C4⋊C4—111no—
779C2×C4⋊C4—111no—
780C2×C4⋊C4—111no—
781C2×C4⋊C4—111no—
782C2×C4⋊C4—111no—
783C2×C4⋊C4—111no—
784C2×C4⋊C4—111no—
785C2×C4⋊C4—111no—
786C2×C4⋊C4—111no—
787C2×C4⋊C4—111no—
788C2×C4⋊C4—111no—
789C2×C4⋊C4—111no—
790C2×C4⋊C4—111no—
791C2×C4⋊C4—111no—
792C2×C4⋊C4—111no—
793C2×C4⋊C4—111no—
794C2×C4⋊C4—111no—
795C2×C4⋊C4—111no—
796C2×C4⋊C4—111no—
797C2×C4⋊C4—111no—
798C2×C4⋊C4—111no—
799C2×C4⋊C4—111no—
800C2×C4⋊C4—111no—
801C2×C4⋊C4—111no—
802C2×C4⋊C4—111no—
803C2×C4⋊C4—111no—
804C2×C4⋊C4—111no—
805C2×C4⋊C4—111no—
806C2×C4⋊C4—111no—
807C2×C4⋊C4—111no—
808C2×C4⋊C4—111no—
809C2×C4⋊C4—111no—
810C2×C4⋊C4—111no—
811C2×C4⋊C4—111no—
812C2×C4⋊C4—111no—
813C2×C4⋊C4—111no—
814C2×C4⋊C4—111no—
815C2×C4⋊C4—111no—
816C2×C4⋊C4—111no—
817C2×C4⋊C4—111no—
818C2×C4⋊C4—111no—
819C2×C4⋊C4—111no—
820C2×C4⋊C4—111no—
821C2×C4⋊C4—111no—
822C2×C4⋊C4—111no—
823C2×C4⋊C4C22×D1111yescharacteristic
824C2×C4⋊C4C22×D1111yescharacteristic
825C2×C4⋊C4C22×D1111yescharacteristic
826C2×C4⋊C4C22×D1111yescharacteristic
827C2×C4⋊C4C22×D1111yescharacteristic
828C2×C4⋊C4C22×D1111yescharacteristic
829C2×C4⋊C4C22×D1111yescharacteristic
830C2×C4⋊C4C22×D1111yescharacteristic
831C2×C4⋊C4C22×D1111yescharacteristic
832C2×C4⋊C4C22×D1111yescharacteristic
833C2×C4⋊C4C22×D1111yescharacteristic
834C2×C4⋊C4C22×D1111yescharacteristic
835C2×C4⋊C4C22×D1111yescharacteristic
836C2×C4⋊C4C22×D1111yescharacteristic
837C2×C42—111no—
838C2×C42—111no—
839C2×C42—111no—
840C2×C42—111no—
841C2×C42—111no—
842C2×C42—111no—
843C2×C42—111no—
844C2×C42—111no—
845C2×C42—111no—
846C2×C42—111no—
847C2×C42—111no—
848C2×C42—111no—
849C2×C42—111no—
850C2×C42—111no—
851C2×C42—111no—
852C2×C42—111no—
853C2×C42—111no—
854C2×C42—111no—
855C2×C42C22×D1111yescharacteristic
856#95—111no—
857#95—111no—
858#95—111no—
859#95—111no—
860#95—111no—
861#95—111no—
862#95—111no—
863#95—111no—
864#95—111no—
865#95—111no—
866#95—111no—
867#95—111no—
868#95—111no—
869#95—111no—
870#95—111no—
871#95—111no—
872#95—111no—
873#95—111no—
874#95—111no—
875#95—111no—
876#95—111no—
877#95—111no—
878#95—111no—
879#95—111no—
880#95—111no—
881#95—111no—
882#95—111no—
883#95—111no—
884#95—111no—
885#95—111no—
886#95—111no—
887#95—111no—
888#95—111no—
889#95—111no—
890#95—111no—
891#95—111no—
892#95—111no—
893#95—111no—
894#95—111no—
895#95—111no—
896#95—111no—
897#95—111no—
898#95—111no—
899#95—111no—
900#95—111no—
901#95—111no—
902#95—111no—
903#95—111no—
904#95—111no—
905#95—111no—
906#95—111no—
907#95—111no—
908#95—111no—
909#95—111no—
910#95—111no—
911#95—111no—
912#95C22×D1111yescharacteristic
913#95C22×D1111yescharacteristic
914#95C22×D1111yescharacteristic
915#95C22×D1111yescharacteristic
916#95C22×D1111yescharacteristic
917#95C22×D1111yescharacteristic
918#95C22×D1111yescharacteristic
919#95C22×D1111yescharacteristic
920#95C22×D1111yescharacteristic
921#95C22×D1111yescharacteristic
922#95C22×D1111yescharacteristic
923#95C22×D1111yescharacteristic
924#95C22×D1111yescharacteristic
925#95C22×D1111yescharacteristic
926#95C22×D1111yescharacteristic
927#95C22×D1111yescharacteristic
928#95C22×D1111yescharacteristic
929#95C22×D1111yescharacteristic
930#95C22×D1111yescharacteristic
931#95C22×D1111yescharacteristic
932C2×C11#346111yescharacteristic
933C2×C11#346111yescharacteristic
934C2×C11#346111yescharacteristic
935C2×C11C2×#56411yescharacteristic
936C2×C11#353111yescharacteristic
937C2×C11#353111yescharacteristic
938C2×C11#353111yescharacteristic
939C22×C4—111no—
940C22×C4—111no—
941C22×C4—111no—
942C22×C4—111no—
943C22×C4—111no—
944C22×C4—111no—
945C22×C4—111no—
946C22×C4—111no—
947C22×C4—111no—
948C22×C4—111no—
949C22×C4—111no—
950C22×C4—111no—
951C22×C4—111no—
952C22×C4—111no—
953C22×C4—111no—
954C22×C4—111no—
955C22×C4C23×D1111yescharacteristic
956C22×C4C23×D1111yescharacteristic
957C22×C4C23×D1111yescharacteristic
958C22×C4C23×D1111yescharacteristic
959C22×C4C23×D1111yescharacteristic
960C22×C4C23×D1111yescharacteristic
961C22×C4C23×D1111yescharacteristic
962C22×C4C23×D1111yescharacteristic
963C22×C4C23×D1111yescharacteristic
964C22×C4C23×D1111yescharacteristic
965C22×C4C23×D1111yescharacteristic
966C22×C4C23×D1111yescharacteristic
967C22×C4C23×D1111yescharacteristic
968C22×C4C23×D1111yescharacteristic
969C22×C4C23×D1111yescharacteristic
970C4⋊C4—22no—
971C4⋊C4—22no—
972C4⋊C4—22no—
973C4⋊C4—41no—
974C4⋊C4—41no—
975C4⋊C4—41no—
976C4⋊C4—41no—
977C4⋊C4—41no—
978C4⋊C4—41no—
979C4⋊C4—41no—
980C4⋊C4—41no—
981C4⋊C4—41no—
982C4⋊C4—41no—
983C4⋊C4—41no—
984C4⋊C4—222no—
985C4⋊C4—222no—
986C4⋊C4—222no—
987C4⋊C4—222no—
988C4⋊C4—222no—
989C4⋊C4—222no—
990C4⋊C4—222no—
991C4⋊C4—222no—
992C4⋊C4—222no—
993C4⋊C4—222no—
994C4⋊C4—222no—
995C4⋊C4—222no—
996C4⋊C4—222no—
997C4⋊C4—222no—
998C4⋊C4—222no—
999C4⋊C4—441no—
1000C4⋊C4—441no—
1001C4⋊C4—441no—
1002C4⋊C4—441no—
1003C4⋊C4—441no—
1004C4⋊C4—441no—
1005C4⋊C4—441no—
1006C4⋊C4—441no—
1007C4⋊C4—441no—
1008C4⋊C4—441no—
1009C4⋊C4—441no—
1010C4⋊C4—441no—
1011C4⋊C4—441no—
1012C4⋊C4—441no—
1013C4⋊C4—441no—
1014C4⋊C4—441no—
1015C4⋊C4—441no—
1016C4⋊C4—441no—
1017C4⋊C4—441no—
1018C4⋊C4—441no—
1019C4⋊C4—441no—
1020C4⋊C4—441no—
1021C4⋊C4—441no—
1022C4⋊C4—441no—
1023C4⋊C4—441no—
1024C4⋊C4—441no—
1025C4⋊C4—441no—
1026C4⋊C4—441no—
1027C4⋊C4—441no—
1028C4⋊C4—441no—
1029C4⋊C4—441no—
1030C42—41no—
1031C42—114no—
1032C42—222no—
1033C42—222no—
1034C42—222no—
1035C42—222no—
1036C42—222no—
1037C42—222no—
1038C42—222no—
1039C42—222no—
1040C42—222no—
1041C42—222no—
1042C42—222no—
1043C42—222no—
1044C42—222no—
1045C42—222no—
1046C42—222no—
1047C42—441no—
1048C42—441no—
1049C11#3670111yescharacteristic, complemented, Sylow
1050C23C24×D1111yescharacteristic
1051C2×C4—21no—
1052C2×C4—21no—
1053C2×C4—21no—
1054C2×C4—21no—
1055C2×C4—21no—
1056C2×C4—21no—
1057C2×C4—21no—
1058C2×C4—21no—
1059C2×C4—21no—
1060C2×C4—21no—
1061C2×C4—21no—
1062C2×C4—21no—
1063C2×C4—21no—
1064C2×C4—21no—
1065C2×C4—21no—
1066C2×C4—21no—
1067C2×C4—21no—
1068C2×C4—21no—
1069C2×C4—21no—
1070C2×C4—21no—
1071C2×C4—21no—
1072C2×C4—21no—
1073C2×C4—21no—
1074C2×C4—21no—
1075C2×C4—21no—
1076C2×C4—21no—
1077C2×C4—21no—
1078C2×C4—21no—
1079C2×C4—21no—
1080C2×C4—21no—
1081C2×C4—21no—
1082C2×C4—21no—
1083C2×C4—21no—
1084C2×C4—21no—
1085C2×C4—21no—
1086C2×C4—21no—
1087C2×C4—21no—
1088C2×C4—21no—
1089C2×C4—21no—
1090C2×C4—21no—
1091C2×C4—21no—
1092C2×C4—21no—
1093C2×C4—21no—
1094C2×C4—21no—
1095C2×C4—112no—
1096C2×C4—112no—
1097C2×C4—112no—
1098C2×C4—112no—
1099C2×C4—112no—
1100C2×C4—221no—
1101C2×C4—221no—
1102C2×C4—221no—
1103C2×C4—221no—
1104C2×C4—221no—
1105C2×C4—221no—
1106C2×C4—221no—
1107C2×C4—221no—
1108C2×C4—221no—
1109C2×C4—221no—
1110C2×C4—221no—
1111C2×C4—221no—
1112C2×C4—221no—
1113C2×C4—221no—
1114C2×C4—221no—
1115C2×C4—221no—
1116C2×C4—221no—
1117C2×C4—221no—
1118C2×C4—221no—
1119C2×C4—221no—
1120C2×C4—221no—
1121C2×C4—221no—
1122C2×C4—221no—
1123C2×C4—221no—
1124C2×C4—221no—
1125C2×C4—221no—
1126C2×C4—221no—
1127C2×C4—221no—
1128C2×C4—221no—
1129C2×C4—221no—
1130C2×C4—221no—
1131C2×C4—221no—
1132C2×C4—221no—
1133C2×C4—221no—
1134C2×C4—221no—
1135C2×C4—221no—
1136C2×C4—221no—
1137C2×C4—221no—
1138C2×C4—221no—
1139C2×C4—221no—
1140C2×C4—221no—
1141C2×C4—221no—
1142C2×C4—221no—
1143C2×C4#41×D1112yes—
1144C22C2×#41×D1111yescharacteristic
1145C22#1062345511yescharacteristic
1146C22#1062345511yescharacteristic
1147C22D11×2−1+411yescharacteristic
1148C22D11×2−1+411yescharacteristic
1149C22D11×2−1+411yescharacteristic
1150C22#1062345711yescharacteristic
1151C4—22no—
1152C4—41no—
1153C4—41no—
1154C4—41no—
1155C4—41no—
1156C4—41no—
1157C4—41no—
1158C4—41no—
1159C4—41no—
1160C4—41no—
1161C4—41no—
1162C4—41no—
1163C4—41no—
1164C4—41no—
1165C4—41no—
1166C4—114no—
1167C4—222no—
1168C4—222no—
1169C4—441no—
1170C4—441no—
1171C4—441no—
1172C4—441no—
1173C4—441no—
1174C4—441no—
1175C4—441no—
1176C4—441no—
1177C4—441no—
1178C4—441no—
1179C4—441no—
1180C4—441no—
1181C4—441no—
1182C2#1308204211yescharacteristic
1183C2#1308204611yescharacteristic
1184C2#1308204811yescharacteristic
1185C2D11×#56411yescharacteristic
1186C2#1308276011yescharacteristic
1187C2#1308276211yescharacteristic
1188C2#1308276211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, prime radical, cosocleC23×C11C25
FittingC11×#2839C2
hypercenter#2839D11
hypocenterC11#36701
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2839

Complements

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

NH ≅ G/Ntype
1049. C11#36701semidirect

Maximal subgroups

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

subgroupindex
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#130768612
#130768592
#130768582
#130768572
#130768562
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#130768542
#130768532
#130766862
#130766852
#130766822
#130719222
#130719202
#130711752
#130711732
C11×#28392
#3670111