Finite Group Databasebeta

← #14919943

Subgroups — #14919943

Order 2816.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11⋊#564C211yesmaximal, characteristic
2#13071799C211yesmaximal, characteristic
3#13071798C211yesmaximal, characteristic
4#13071798C211yesmaximal, characteristic
5#13071720C211yesmaximal, characteristic
6#13071720C211yesmaximal, characteristic
7#13071719C211yesmaximal, characteristic
8#13071719C211yesmaximal, characteristic
9#13071719C211yesmaximal, characteristic
10#13071718C211yesmaximal, characteristic
11#13071717C211yesmaximal, characteristic
12#13071715C211yesmaximal, characteristic
13#13071713C211yesmaximal, characteristic
14#13071712C211yesmaximal, characteristic
15#13071710C211yesmaximal, characteristic
16#13071422C211yesmaximal, characteristic
17#13071421C211yesmaximal, characteristic
18#13071420C211yesmaximal, characteristic
19#13071420C211yesmaximal, characteristic
20#13071416C211yesmaximal, characteristic
21#13071415C211yesmaximal, characteristic
22#13071356C211yesmaximal, characteristic
23#13071354C211yesmaximal, characteristic
24#13071354C211yesmaximal, characteristic
25#13071354C211yesmaximal, characteristic
26#13071353C211yesmaximal, characteristic
27#13071352C211yesmaximal, characteristic
28C4×#66943C211yesmaximal, characteristic
29#13071173C211yesmaximal, characteristic
30C4×#66942C211yesmaximal, characteristic
31C11×#2370C211yesmaximal, characteristic
32C2×C11×#125C2211yescharacteristic
33C11⋊#564C4116yescomplemented
34C2×#66943C2211yescharacteristic
35C2×#66943C2211yescharacteristic
36C2×#66943C2211yescharacteristic
37C2×#66943C2211yescharacteristic
38C2×#66942C2211yescharacteristic
39C2×#66942C2211yescharacteristic
40C2×#66942C2211yescharacteristic
41C2×#66942C2211yescharacteristic
42C2×#66942C2211yescharacteristic
43C2×#66942C2211yescharacteristic
44C2×#66942C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66923C2211yescharacteristic
47C2×#66923C2211yescharacteristic
48C11×#389C2211yescharacteristic
49C11×#389C2211yescharacteristic
50C11×#389C2211yescharacteristic
51C11×#389C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#387C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#387C2211yescharacteristic
56C4×C11×C4⋊C4C2211yescharacteristic
57C4×C11×C4⋊C4C2211yescharacteristic
58C4×C11×C4⋊C4C2211yescharacteristic
59C4×C11×C4⋊C4C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62#10622598C2211yescharacteristic
63#10622598C2211yescharacteristic
64#10622594C2211yescharacteristic
65#10622594C2211yescharacteristic
66#10622594C2211yescharacteristic
67#10622594C2211yescharacteristic
68#10622594C2211yescharacteristic
69#10622594C2211yescharacteristic
70#10622594C2211yescharacteristic
71#10622594C2211yescharacteristic
72#10622591C2211yescharacteristic
73#10622591C2211yescharacteristic
74#10622591C2211yescharacteristic
75#10622591C2211yescharacteristic
76#10622591C2211yescharacteristic
77#10622591C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622590C2211yescharacteristic
82#10622589C2211yescharacteristic
83#10622589C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90#10622586C2211yescharacteristic
91#10622586C2211yescharacteristic
92#10622586C2211yescharacteristic
93#10622586C2211yescharacteristic
94#10622586C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622550C2211yescharacteristic
107C4×C4⋊Dic11C2211yescharacteristic
108C4×C4⋊Dic11C2211yescharacteristic
109C4×C4⋊Dic11C2211yescharacteristic
110C4×C4⋊Dic11C2211yescharacteristic
111C4×C4⋊Dic11C2211yescharacteristic
112C4×C4⋊Dic11C2211yescharacteristic
113#10622546C2211yescharacteristic
114#10622546C2211yescharacteristic
115#10622546C2211yescharacteristic
116#10622546C2211yescharacteristic
117#10622546C2211yescharacteristic
118#10622546C2211yescharacteristic
119#10622546C2211yescharacteristic
120#10622546C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622545C2211yescharacteristic
125#10622545C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C42×Dic11C2211yescharacteristic
137#10622541C2211yescharacteristic
138#10622541C2211yescharacteristic
139#10622541C2211yescharacteristic
140#10622268C2211yescharacteristic
141#10622268C2211yescharacteristic
142#10622268C2211yescharacteristic
143#10622268C2211yescharacteristic
144#10622268C2211yescharacteristic
145#10622268C2211yescharacteristic
146#10622268C2211yescharacteristic
147#10622267C2211yescharacteristic
148#10622267C2211yescharacteristic
149#10622267C2211yescharacteristic
150#10622267C2211yescharacteristic
151#10622267C2211yescharacteristic
152#10622267C2211yescharacteristic
153#10622267C2211yescharacteristic
154#10622267C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622266C2211yescharacteristic
158#10622266C2211yescharacteristic
159#10622266C2211yescharacteristic
160#10622266C2211yescharacteristic
161#10622266C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622265C2211yescharacteristic
164#10622265C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622264C2211yescharacteristic
169#10622263C2211yescharacteristic
170#10622263C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622260C2211yescharacteristic
188C11×#125C2×C418yes—
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×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C42×C11C2311yescharacteristic
204C2×C42×C11C2311yescharacteristic
205C2×C42×C11C2311yescharacteristic
206C2×C42×C11C2311yescharacteristic
207C2×C42×C11C2311yescharacteristic
208C2×C42×C11C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C4⋊Dic11C2311yescharacteristic
213C2×C4⋊Dic11C2311yescharacteristic
214C2×C4⋊Dic11C2311yescharacteristic
215C2×C4⋊Dic11C2311yescharacteristic
216C2×C4⋊Dic11C2311yescharacteristic
217C2×C4⋊Dic11C2311yescharacteristic
218C2×C4⋊Dic11C2311yescharacteristic
219C2×C4⋊Dic11C2311yescharacteristic
220C2×C4⋊Dic11C2311yescharacteristic
221C2×C4⋊Dic11C2311yescharacteristic
222C2×C4⋊Dic11C2311yescharacteristic
223C2×C4⋊Dic11C2311yescharacteristic
224C2×C4⋊Dic11C2311yescharacteristic
225C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C2×C4×Dic11C2311yescharacteristic
263C2×C4×Dic11C2311yescharacteristic
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284#66943C2×C418yes—
285#66943C2×C418yes—
286#66943C2×C418yes—
287#66943C2×C418yes—
288#66942C2×C418yes—
289#66942C2×C418yes—
290#66942C2×C418yes—
291#66942C2×C418yes—
292#66942C2×C418yes—
293#66942C2×C418yes—
294#66942C2×C418yes—
295#66942C2×C418yes—
296#66923C2×C418yes—
297#66923C2×C418yes—
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
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358#34530—111nomaximal, Sylow
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C11×C4⋊C4—22no—
391C11×C4⋊C4—22no—
392C11×C4⋊C4—41no—
393C11×C4⋊C4—41no—
394C11×C4⋊C4—41no—
395C11×C4⋊C4—41no—
396C11×C4⋊C4—41no—
397C11×C4⋊C4—41no—
398C11×C4⋊C4C22×C414yes—
399C11×C4⋊C4C22×C414yes—
400C11×C4⋊C4C22×C414yes—
401C11×C4⋊C4C22×C414yes—
402C11×C4⋊C4C22×C414yes—
403C11×C4⋊C4C22×C414yes—
404C42×C11—22no—
405C42×C11—22no—
406C42×C11—41no—
407C42×C11—41no—
408C42×C11—41no—
409C42×C11—41no—
410C42×C11—41no—
411C42×C11—41no—
412C42×C11C22×C414yes—
413C4⋊Dic11—22no—
414C4⋊Dic11—22no—
415C4⋊Dic11—41no—
416C4⋊Dic11—41no—
417C4⋊Dic11—41no—
418C4⋊Dic11—41no—
419C4⋊Dic11C22×C414yes—
420C4⋊Dic11C22×C414yes—
421C4⋊Dic11C22×C414yes—
422C4⋊Dic11C22×C414yes—
423C4⋊Dic11C22×C414yes—
424C4⋊Dic11C22×C414yes—
425C4⋊Dic11C22×C414yes—
426C4⋊Dic11C22×C414yes—
427Dic11⋊C4—22no—
428Dic11⋊C4—22no—
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—
438Dic11⋊C4—41no—
439Dic11⋊C4—41no—
440Dic11⋊C4—41no—
441Dic11⋊C4—41no—
442Dic11⋊C4—41no—
443Dic11⋊C4C22×C414yes—
444Dic11⋊C4C22×C414yes—
445Dic11⋊C4C22×C414yes—
446Dic11⋊C4C22×C414yes—
447Dic11⋊C4C22×C414yes—
448Dic11⋊C4C22×C414yes—
449Dic11⋊C4C22×C414yes—
450Dic11⋊C4C22×C414yes—
451Dic11⋊C4C22×C414yes—
452Dic11⋊C4C22×C414yes—
453Dic11⋊C4C22×C414yes—
454Dic11⋊C4C22×C414yes—
455Dic11⋊C4C22×C414yes—
456Dic11⋊C4C22×C414yes—
457Dic11⋊C4C22×C414yes—
458Dic11⋊C4C22×C414yes—
459C4×Dic11—22no—
460C4×Dic11—22no—
461C4×Dic11—22no—
462C4×Dic11—22no—
463C4×Dic11—22no—
464C4×Dic11—22no—
465C4×Dic11—22no—
466C4×Dic11—41no—
467C4×Dic11—41no—
468C4×Dic11—41no—
469C4×Dic11—41no—
470C4×Dic11—41no—
471C4×Dic11—41no—
472C4×Dic11—41no—
473C4×Dic11—41no—
474C4×Dic11—41no—
475C4×Dic11—41no—
476C4×Dic11—41no—
477C4×Dic11—41no—
478C4×Dic11—41no—
479C4×Dic11—41no—
480C4×Dic11—41no—
481C4×Dic11C22×C414yes—
482C4×Dic11C22×C414yes—
483C4×Dic11C22×C414yes—
484C4×Dic11C22×C414yes—
485C2×#564—111no—
486#2382—111no—
487#2382—111no—
488#2382—111no—
489#2371—111no—
490#2371—111no—
491#2371—111no—
492#2371—111no—
493#2371—111no—
494#2371—111no—
495#2370—111no—
496#2370—111no—
497#2370—111no—
498#2370—111no—
499#2370—111no—
500#2370D1111yescharacteristic
501#2336—111no—
502#2336—111no—
503#2336—111no—
504#2336—111no—
505#2336—111no—
506#2336—111no—
507#2330—111no—
508#2330—111no—
509#2330—111no—
510#2330—111no—
511#2330—111no—
512#2330—111no—
513C4×#125—111no—
514C4×#125—111no—
515C4×#125—111no—
516C23×C11C2511yescharacteristic
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×C11—21no—
533C2×C4×C11—21no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11C23×C412yes—
554C2×C4×C11C23×C412yes—
555C2×C4×C11C23×C412yes—
556C2×C4×C11C23×C412yes—
557C2×C4×C11C23×C412yes—
558C2×C4×C11C23×C412yes—
559C2×C4×C11C23×C412yes—
560C2×C4×C112−1+412yes—
561C2×C4×C112−1+412yes—
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×Dic11—21no—
577C2×Dic11—21no—
578C2×Dic11—21no—
579C2×Dic11—21no—
580C2×Dic11—21no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11C23×C412yes—
602C2×Dic11C23×C412yes—
603C2×Dic11C23×C412yes—
604C2×Dic11C23×C412yes—
605C2×Dic11C23×C412yes—
606C2×Dic11C23×C412yes—
607C2×Dic11C23×C412yes—
608C2×Dic11C23×C412yes—
609C2×Dic112−1+412yes—
610#564—1116no—
611C2×#125—111no—
612C2×#125—111no—
613C2×#125—111no—
614C2×#125—111no—
615C2×#125—111no—
616C2×#125—111no—
617C2×#125—111no—
618C2×#125—111no—
619C2×#125—111no—
620C2×#125—111no—
621C2×#125—111no—
622C2×#125—111no—
623C2×#125—111no—
624C2×#125—111no—
625C2×#125C2×D1111yescharacteristic
626#389—111no—
627#389—111no—
628#389—111no—
629#389—111no—
630#389—111no—
631#389—111no—
632#389—111no—
633#389—111no—
634#389—111no—
635#389—111no—
636#389—111no—
637#389—111no—
638#389—111no—
639#389—111no—
640#389—111no—
641#389—111no—
642#389—111no—
643#389—111no—
644#389—111no—
645#389—111no—
646#389—111no—
647#389—111no—
648#389—111no—
649#389—111no—
650#389—111no—
651#389—111no—
652#389C2×D1111yescharacteristic
653#389C2×D1111yescharacteristic
654#389C2×D1111yescharacteristic
655#389C2×D1111yescharacteristic
656#387—111no—
657#387—111no—
658#387—111no—
659#387—111no—
660#387—111no—
661#387—111no—
662#387—111no—
663#387—111no—
664#387—111no—
665#387—111no—
666#387—111no—
667#387—111no—
668#387—111no—
669#387—111no—
670#387—111no—
671#387—111no—
672#387—111no—
673#387—111no—
674#387—111no—
675#387—111no—
676#387—111no—
677#387—111no—
678#387—111no—
679#387—111no—
680#387—111no—
681#387—111no—
682#387—111no—
683#387—111no—
684#387—111no—
685#387—111no—
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#387—111no—
697#387—111no—
698#387—111no—
699#387—111no—
700#387—111no—
701#387—111no—
702#387—111no—
703#387—111no—
704#387—111no—
705#387—111no—
706#387—111no—
707#387—111no—
708#387—111no—
709#387—111no—
710#387—111no—
711#387—111no—
712#387C2×D1111yescharacteristic
713#387C2×D1111yescharacteristic
714#387C2×D1111yescharacteristic
715#387C2×D1111yescharacteristic
716#384—111no—
717#384—111no—
718#383—111no—
719#383—111no—
720#382—111no—
721#382—111no—
722#382—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—
731C4×C4⋊C4—111no—
732C4×C4⋊C4—111no—
733C4×C4⋊C4—111no—
734C4×C4⋊C4—111no—
735C4×C4⋊C4—111no—
736C4×C4⋊C4—111no—
737C4×C4⋊C4—111no—
738C4×C4⋊C4—111no—
739C4×C4⋊C4—111no—
740C4×C4⋊C4—111no—
741C4×C4⋊C4—111no—
742C4×C4⋊C4—111no—
743C4×C4⋊C4—111no—
744C4×C4⋊C4—111no—
745C4×C4⋊C4—111no—
746C4×C4⋊C4—111no—
747C4×C4⋊C4—111no—
748C4×C4⋊C4—111no—
749C4×C4⋊C4—111no—
750C4×C4⋊C4—111no—
751C4×C4⋊C4—111no—
752C4×C4⋊C4—111no—
753C4×C4⋊C4C2×D1111yescharacteristic
754C4×C4⋊C4C2×D1111yescharacteristic
755C4×C4⋊C4C2×D1111yescharacteristic
756C4×C4⋊C4C2×D1111yescharacteristic
757C4×C4⋊C4C2×D1111yescharacteristic
758C4×C4⋊C4C2×D1111yescharacteristic
759#376—111no—
760#376—111no—
761#376—111no—
762#376—111no—
763#376—111no—
764#376—111no—
765C43—111no—
766C22×C11C24×C411yescharacteristic
767C22×C11C2×2−1+411yescharacteristic
768C22×C11C2×2−1+411yescharacteristic
769C22×C11C2×2−1+411yescharacteristic
770C22×C11#58511yescharacteristic
771C22×C11#58511yescharacteristic
772C22×C11#58511yescharacteristic
773C4×C11—22no—
774C4×C11—22no—
775C4×C11—22no—
776C4×C11—22no—
777C4×C11—22no—
778C4×C11—22no—
779C4×C11—22no—
780C4×C11—22no—
781C4×C11—22no—
782C4×C11—41no—
783C4×C11—41no—
784C4×C11—41no—
785C4×C11—41no—
786C4×C11—41no—
787C4×C11—41no—
788Dic11—22no—
789Dic11—22no—
790Dic11—22no—
791Dic11—22no—
792Dic11—22no—
793Dic11—22no—
794Dic11—22no—
795Dic11—22no—
796Dic11—22no—
797Dic11—41no—
798Dic11—41no—
799Dic11—41no—
800Dic11—41no—
801Dic11—41no—
802Dic11—41no—
803Dic11—41no—
804#125—118no—
805#125—118no—
806#125—118no—
807#125—118no—
808#125—118no—
809#125—118no—
810#125—118no—
811#125—118no—
812#125—118no—
813#125—118no—
814#125—118no—
815#125—118no—
816#125—118no—
817#125—118no—
818#125C4×D1118yes—
819C2×C4⋊C4—111no—
820C2×C4⋊C4—111no—
821C2×C4⋊C4—111no—
822C2×C4⋊C4—111no—
823C2×C4⋊C4—111no—
824C2×C4⋊C4—111no—
825C2×C4⋊C4—111no—
826C2×C4⋊C4—111no—
827C2×C4⋊C4—111no—
828C2×C4⋊C4—111no—
829C2×C4⋊C4—111no—
830C2×C4⋊C4—111no—
831C2×C4⋊C4—111no—
832C2×C4⋊C4—111no—
833C2×C4⋊C4—111no—
834C2×C4⋊C4—111no—
835C2×C4⋊C4—111no—
836C2×C4⋊C4—111no—
837C2×C4⋊C4—111no—
838C2×C4⋊C4—111no—
839C2×C4⋊C4—111no—
840C2×C4⋊C4—111no—
841C2×C4⋊C4—111no—
842C2×C4⋊C4—111no—
843C2×C4⋊C4—111no—
844C2×C4⋊C4—111no—
845C2×C4⋊C4—111no—
846C2×C4⋊C4—111no—
847C2×C4⋊C4—111no—
848C2×C4⋊C4—111no—
849C2×C4⋊C4—111no—
850C2×C4⋊C4—111no—
851C2×C4⋊C4—111no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4—111no—
859C2×C4⋊C4—111no—
860C2×C4⋊C4—111no—
861C2×C4⋊C4—111no—
862C2×C4⋊C4—111no—
863C2×C4⋊C4—111no—
864C2×C4⋊C4—111no—
865C2×C4⋊C4C22×D1111yescharacteristic
866C2×C4⋊C4C22×D1111yescharacteristic
867C2×C4⋊C4C22×D1111yescharacteristic
868C2×C4⋊C4C22×D1111yescharacteristic
869C2×C4⋊C4C22×D1111yescharacteristic
870C2×C4⋊C4C22×D1111yescharacteristic
871C2×C4⋊C4C22×D1111yescharacteristic
872C2×C4⋊C4C22×D1111yescharacteristic
873C2×C4⋊C4C22×D1111yescharacteristic
874C2×C4⋊C4C22×D1111yescharacteristic
875C2×C4⋊C4C22×D1111yescharacteristic
876C2×C4⋊C4C22×D1111yescharacteristic
877C2×C4⋊C4C22×D1111yescharacteristic
878C2×C4⋊C4C22×D1111yescharacteristic
879C2×C42—111no—
880C2×C42—111no—
881C2×C42—111no—
882C2×C42—111no—
883C2×C42—111no—
884C2×C42—111no—
885C2×C42—111no—
886C2×C42—111no—
887C2×C42—111no—
888C2×C42—111no—
889C2×C42—111no—
890C2×C42—111no—
891C2×C42—111no—
892C2×C42—111no—
893C2×C42—111no—
894C2×C42—111no—
895C2×C42—111no—
896C2×C42—111no—
897C2×C42—111no—
898C2×C42—111no—
899C2×C42—111no—
900C2×C42—111no—
901C2×C42—111no—
902C2×C42—111no—
903C2×C42—111no—
904C2×C42—111no—
905C2×C42C22×D1111yescharacteristic
906C2×C42C22×D1111yescharacteristic
907C2×C42C22×D1111yescharacteristic
908C2×C42C22×D1111yescharacteristic
909C2×C42C22×D1111yescharacteristic
910C2×C42C22×D1111yescharacteristic
911C2×C42C22×D1111yescharacteristic
912C2×C42C22×D1111yescharacteristic
913C2×C42C22×D1111yescharacteristic
914#95—111no—
915#95—111no—
916#95—111no—
917#95—111no—
918#95—111no—
919#95—111no—
920#95—111no—
921#95—111no—
922#95—111no—
923#95—111no—
924#95—111no—
925#95—111no—
926#95—111no—
927#95—111no—
928#95—111no—
929#95—111no—
930#95—111no—
931#95—111no—
932#95—111no—
933#95—111no—
934#95—111no—
935#95—111no—
936#95—111no—
937#95—111no—
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95—111no—
962#95C22×D1111yescharacteristic
963#95C22×D1111yescharacteristic
964#95C22×D1111yescharacteristic
965#95C22×D1111yescharacteristic
966#95C22×D1111yescharacteristic
967#95C22×D1111yescharacteristic
968#95C22×D1111yescharacteristic
969#95C22×D1111yescharacteristic
970#95C22×D1111yescharacteristic
971#95C22×D1111yescharacteristic
972#95C22×D1111yescharacteristic
973#95C22×D1111yescharacteristic
974C2×C11C4×2−1+411yescharacteristic
975C2×C11C4×2−1+411yescharacteristic
976C2×C11C4×2−1+411yescharacteristic
977C2×C11#356311yescharacteristic
978C2×C11#356311yescharacteristic
979C2×C11#356311yescharacteristic
980C2×C11#356711yescharacteristic
981C22×C4—111no—
982C22×C4—111no—
983C22×C4—111no—
984C22×C4—111no—
985C22×C4—111no—
986C22×C4—111no—
987C22×C4—111no—
988C22×C4—111no—
989C22×C4—111no—
990C22×C4—111no—
991C22×C4—111no—
992C22×C4—111no—
993C22×C4—111no—
994C22×C4—111no—
995C22×C4—111no—
996C22×C4—111no—
997C22×C4C23×D1111yescharacteristic
998C22×C4C23×D1111yescharacteristic
999C22×C4C23×D1111yescharacteristic
1000C22×C4C23×D1111yescharacteristic
1001C22×C4C23×D1111yescharacteristic
1002C22×C4C23×D1111yescharacteristic
1003C22×C4C23×D1111yescharacteristic
1004C22×C4C23×D1111yescharacteristic
1005C22×C4C23×D1111yescharacteristic
1006C22×C4C23×D1111yescharacteristic
1007C22×C4C23×D1111yescharacteristic
1008C22×C4C23×D1111yescharacteristic
1009C22×C4C23×D1111yescharacteristic
1010C22×C4C23×D1111yescharacteristic
1011C22×C4C23×D1111yescharacteristic
1012C4⋊C4—22no—
1013C4⋊C4—22no—
1014C4⋊C4—41no—
1015C4⋊C4—41no—
1016C4⋊C4—41no—
1017C4⋊C4—41no—
1018C4⋊C4—41no—
1019C4⋊C4—41no—
1020C4⋊C4—114no—
1021C4⋊C4—114no—
1022C4⋊C4—114no—
1023C4⋊C4—114no—
1024C4⋊C4—114no—
1025C4⋊C4—114no—
1026C4⋊C4—114no—
1027C4⋊C4—114no—
1028C4⋊C4—114no—
1029C4⋊C4—114no—
1030C4⋊C4—114no—
1031C4⋊C4—114no—
1032C4⋊C4—114no—
1033C4⋊C4—114no—
1034C4⋊C4—114no—
1035C4⋊C4—114no—
1036C4⋊C4—114no—
1037C4⋊C4—114no—
1038C4⋊C4—114no—
1039C4⋊C4—114no—
1040C4⋊C4—114no—
1041C4⋊C4—114no—
1042C4⋊C4—114no—
1043C4⋊C4—114no—
1044C4⋊C4—222no—
1045C4⋊C4—222no—
1046C4⋊C4—222no—
1047C4⋊C4—222no—
1048C4⋊C4—441no—
1049C4⋊C4—441no—
1050C4⋊C4—441no—
1051C4⋊C4—441no—
1052C4⋊C4—441no—
1053C4⋊C4—441no—
1054C4⋊C4—441no—
1055C4⋊C4—441no—
1056C4⋊C4—441no—
1057C4⋊C4—441no—
1058C4⋊C4—441no—
1059C4⋊C4—441no—
1060C4⋊C4—441no—
1061C4⋊C4—441no—
1062C4⋊C4—441no—
1063C4⋊C4—441no—
1064C4⋊C4—441no—
1065C4⋊C4—441no—
1066C4⋊C4C2×C4×D1114yes—
1067C4⋊C4C2×C4×D1114yes—
1068C4⋊C4C2×C4×D1114yes—
1069C4⋊C4C2×C4×D1114yes—
1070C4⋊C4C2×C4×D1114yes—
1071C4⋊C4C2×C4×D1114yes—
1072C42—22no—
1073C42—22no—
1074C42—41no—
1075C42—41no—
1076C42—41no—
1077C42—41no—
1078C42—41no—
1079C42—41no—
1080C42—114no—
1081C42—114no—
1082C42—114no—
1083C42—114no—
1084C42—222no—
1085C42—222no—
1086C42—222no—
1087C42—222no—
1088C42—222no—
1089C42—222no—
1090C42—222no—
1091C42—441no—
1092C42—441no—
1093C42—441no—
1094C42—441no—
1095C42—441no—
1096C42—441no—
1097C42—441no—
1098C42—441no—
1099C42—441no—
1100C42—441no—
1101C42—441no—
1102C42—441no—
1103C42—441no—
1104C42—441no—
1105C42—441no—
1106C42C2×C4×D1114yes—
1107C11#3453011yescharacteristic, complemented, Sylow
1108C23C24×D1111yescharacteristic
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—21no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—21no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—112no—
1146C2×C4—112no—
1147C2×C4—112no—
1148C2×C4—112no—
1149C2×C4—112no—
1150C2×C4—112no—
1151C2×C4—112no—
1152C2×C4—112no—
1153C2×C4—112no—
1154C2×C4—221no—
1155C2×C4—221no—
1156C2×C4—221no—
1157C2×C4—221no—
1158C2×C4—221no—
1159C2×C4—221no—
1160C2×C4—221no—
1161C2×C4—221no—
1162C2×C4—221no—
1163C2×C4—221no—
1164C2×C4—221no—
1165C2×C4—221no—
1166C2×C4—221no—
1167C2×C4—221no—
1168C2×C4—221no—
1169C2×C4—221no—
1170C2×C4—221no—
1171C2×C4—221no—
1172C2×C4—221no—
1173C2×C4—221no—
1174C2×C4—221no—
1175C2×C4—221no—
1176C2×C4—221no—
1177C2×C4—221no—
1178C2×C4—221no—
1179C2×C4—221no—
1180C2×C4—221no—
1181C2×C4—221no—
1182C2×C4—221no—
1183C2×C4—221no—
1184C2×C4—221no—
1185C2×C4—221no—
1186C2×C4—221no—
1187C2×C4—221no—
1188C2×C4—221no—
1189C2×C4—221no—
1190C2×C4—221no—
1191C2×C4—221no—
1192C2×C4—221no—
1193C2×C4C22×C4×D1112yes—
1194C2×C4C22×C4×D1112yes—
1195C2×C4C22×C4×D1112yes—
1196C2×C4C22×C4×D1112yes—
1197C2×C4C22×C4×D1112yes—
1198C2×C4C22×C4×D1112yes—
1199C2×C4C22×C4×D1112yes—
1200C2×C4#6704012yes—
1201C2×C4#6704312yes—
1202C22C23×C4×D1111yescharacteristic
1203C22C2×#6704011yescharacteristic
1204C22C2×#6704311yescharacteristic
1205C22#1062345311yescharacteristic
1206C22#1062345311yescharacteristic
1207C22#1062345511yescharacteristic
1208C22D11×2−1+411yescharacteristic
1209C4—22no—
1210C4—22no—
1211C4—22no—
1212C4—22no—
1213C4—22no—
1214C4—22no—
1215C4—22no—
1216C4—22no—
1217C4—22no—
1218C4—41no—
1219C4—41no—
1220C4—41no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—222no—
1225C4—222no—
1226C4—222no—
1227C4—222no—
1228C4—222no—
1229C4—222no—
1230C4—222no—
1231C4—222no—
1232C4—222no—
1233C4—441no—
1234C4—441no—
1235C4—441no—
1236C4—441no—
1237C4—441no—
1238C4—441no—
1239C4—441no—
1240C2C4×#6704311yescharacteristic
1241C2#1308182711yescharacteristic
1242C2C4×#6704011yescharacteristic
1243C2#1308321211yescharacteristic
1244C2#1308321311yescharacteristic
1245C2#1308322011yescharacteristic
1246C2#1308330011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2370C2
socle, prime radical, cosocleC23×C11C25
hypercenter#2370D11
hypocenterC11#34530
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2370

Complements

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

NH ≅ G/Ntype
33. C11⋊#564C4semidirect
1107. C11#34530semidirect

Maximal subgroups

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

subgroupindex
C2×C11⋊#5642
#130717992
#130717982
#130717202
#130717192
#130717182
#130717172
#130717152
#130717132
#130717122
#130717102
#130714222
#130714212
#130714202
#130714162
#130714152
#130713562
#130713542
#130713532
#130713522
C4×#669432
#130711732
C4×#669422
C11×#23702
#3453011