Finite Group Databasebeta

← #14917970

Subgroups — #14917970

Order 2816.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071808C211yesmaximal, characteristic
2#13071802C211yesmaximal, characteristic, complemented
3#13071797C211yesmaximal, characteristic, complemented
4#13071782C211yesmaximal, characteristic
5#13071740C211yesmaximal, characteristic
6#13071740C211yesmaximal, characteristic
7#13071740C211yesmaximal, characteristic
8#13071722C211yesmaximal, characteristic, complemented
9#13071716C211yesmaximal, characteristic, complemented
10#13071716C211yesmaximal, characteristic, complemented
11#13071706C211yesmaximal, characteristic, complemented
12#13071701C211yesmaximal, characteristic
13#13071581C211yesmaximal, characteristic, complemented
14#13071573C211yesmaximal, characteristic, complemented
15#13071509C211yesmaximal, characteristic
16#13071476C211yesmaximal, characteristic
17#13071422C211yesmaximal, characteristic, complemented
18#13071422C211yesmaximal, characteristic, complemented
19#13071422C211yesmaximal, characteristic, complemented
20#13071422C211yesmaximal, characteristic, complemented
21#13071395C211yesmaximal, characteristic
22#13071395C211yesmaximal, characteristic
23#13071395C211yesmaximal, characteristic
24#13071374C211yesmaximal, characteristic
25#13071358C211yesmaximal, characteristic, complemented
26#13071351C211yesmaximal, characteristic
27#13071267C211yesmaximal, characteristic, complemented
28#125×Dic11C211yesmaximal, characteristic, complemented
29#126×Dic11C211yesmaximal, characteristic
30#13071094C211yesmaximal, characteristic, complemented
31C2×C11×#541C211yesmaximal, characteristic
32C11×#541C4116yescomplemented
33C2×C11×C4⋊Q8C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic
36C2×C11×#126C2211yescharacteristic
37C2×C11×#126C2211yescharacteristic
38C2×C11×#125C2211yescharacteristic
39C2×C11×#125C2211yescharacteristic
40C2×C11×#125C2211yescharacteristic
41C2×C11×#125C2211yescharacteristic
42C2×C11×#125C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×C22⋊Q8C2211yescharacteristic
45C2×C4×Q8×C11C2211yescharacteristic
46C2×C4×Q8×C11C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic
48#10622843C2211yescharacteristic
49#10622843C2211yescharacteristic
50#10622843C2211yescharacteristic
51#10622843C2211yescharacteristic
52#10622843C2211yescharacteristic
53#10622843C2211yescharacteristic
54#10622843C2211yescharacteristic
55#10622843C2211yescharacteristic
56#10622825C2211yescharacteristic
57#10622824C2211yescharacteristic
58C4×C22⋊Dic11C2211yescharacteristic
59C2×C11⋊#95C2211yescharacteristic
60#10622598C2211yescharacteristic
61#10622598C2211yescharacteristic
62#10622598C2211yescharacteristic
63#10622598C2211yescharacteristic
64#10622598C2211yescharacteristic
65#10622598C2211yescharacteristic
66#10622598C2211yescharacteristic
67#10622598C2211yescharacteristic
68#10622598C2211yescharacteristic
69#10622598C2211yescharacteristic
70#10622598C2211yescharacteristic
71#10622598C2211yescharacteristic
72#10622598C2211yescharacteristic
73#10622598C2211yescharacteristic
74#10622598C2211yescharacteristic
75#10622598C2211yescharacteristic
76#10622598C2211yescharacteristic
77#10622598C2211yescharacteristic
78#10622594C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622594C2211yescharacteristic
93#10622594C2211yescharacteristic
94#10622594C2211yescharacteristic
95#10622594C2211yescharacteristic
96#10622594C2211yescharacteristic
97#10622594C2211yescharacteristic
98#10622594C2211yescharacteristic
99#10622594C2211yescharacteristic
100#10622594C2211yescharacteristic
101#10622594C2211yescharacteristic
102#10622594C2211yescharacteristic
103#10622594C2211yescharacteristic
104#10622594C2211yescharacteristic
105#10622594C2211yescharacteristic
106#10622594C2211yescharacteristic
107#10622594C2211yescharacteristic
108#10622594C2211yescharacteristic
109#10622594C2211yescharacteristic
110#10622594C2211yescharacteristic
111#10622594C2211yescharacteristic
112#10622594C2211yescharacteristic
113#10622594C2211yescharacteristic
114#10622594C2211yescharacteristic
115#10622594C2211yescharacteristic
116#10622594C2211yescharacteristic
117#10622594C2211yescharacteristic
118#10622594C2211yescharacteristic
119#10622594C2211yescharacteristic
120#10622594C2211yescharacteristic
121#10622594C2211yescharacteristic
122C4⋊C4×Dic11C2211yescharacteristic
123C4⋊C4×Dic11C2211yescharacteristic
124C4⋊C4×Dic11C2211yescharacteristic
125C4⋊C4×Dic11C2211yescharacteristic
126C4⋊C4×Dic11C2211yescharacteristic
127C4⋊C4×Dic11C2211yescharacteristic
128C4⋊C4×Dic11C2211yescharacteristic
129C4⋊C4×Dic11C2211yescharacteristic
130C4⋊C4×Dic11C2211yescharacteristic
131C4⋊C4×Dic11C2211yescharacteristic
132C4⋊C4×Dic11C2211yescharacteristic
133C4⋊C4×Dic11C2211yescharacteristic
134C4⋊C4×Dic11C2211yescharacteristic
135C4⋊C4×Dic11C2211yescharacteristic
136C4⋊C4×Dic11C2211yescharacteristic
137C4⋊C4×Dic11C2211yescharacteristic
138C4⋊C4×Dic11C2211yescharacteristic
139C4⋊C4×Dic11C2211yescharacteristic
140#10622564C2211yescharacteristic
141#10622564C2211yescharacteristic
142#10622564C2211yescharacteristic
143#10622564C2211yescharacteristic
144#10622564C2211yescharacteristic
145#10622564C2211yescharacteristic
146#10622564C2211yescharacteristic
147#10622564C2211yescharacteristic
148#10622564C2211yescharacteristic
149#10622564C2211yescharacteristic
150#10622564C2211yescharacteristic
151#10622564C2211yescharacteristic
152#10622563C2211yescharacteristic
153#10622563C2211yescharacteristic
154#10622563C2211yescharacteristic
155#10622563C2211yescharacteristic
156#10622563C2211yescharacteristic
157#10622563C2211yescharacteristic
158C22⋊C4×Dic11C2211yescharacteristic
159C22⋊C4×Dic11C2211yescharacteristic
160C22⋊C4×Dic11C2211yescharacteristic
161C22⋊C4×Dic11C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic
163C22⋊C4×Dic11C2211yescharacteristic
164#10622550C2211yescharacteristic
165#10622550C2211yescharacteristic
166#10622550C2211yescharacteristic
167#10622550C2211yescharacteristic
168#10622550C2211yescharacteristic
169#10622549C2211yescharacteristic
170#10622549C2211yescharacteristic
171#10622549C2211yescharacteristic
172#10622549C2211yescharacteristic
173#10622548C2211yescharacteristic
174C4×C4⋊Dic11C2211yescharacteristic
175C4×C4⋊Dic11C2211yescharacteristic
176C4×C4⋊Dic11C2211yescharacteristic
177C4×C4⋊Dic11C2211yescharacteristic
178C4×C4⋊Dic11C2211yescharacteristic
179C4×C4⋊Dic11C2211yescharacteristic
180C4×C4⋊Dic11C2211yescharacteristic
181C4×C4⋊Dic11C2211yescharacteristic
182C4×C4⋊Dic11C2211yescharacteristic
183#10622545C2211yescharacteristic
184#10622545C2211yescharacteristic
185#10622545C2211yescharacteristic
186#10622545C2211yescharacteristic
187C42×Dic11C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C11×C4⋊Q8C2×C418yescomplemented
194C11×#126C2×C418yes—
195C11×#126C2×C418yes—
196C11×#126C2×C418yes—
197C11×#126C2×C418yes—
198C11×#125C2×C418yescomplemented
199C11×#125C2×C418yescomplemented
200C11×#125C2×C418yescomplemented
201C11×#125C2×C418yescomplemented
202C11×#125C2×C418yescomplemented
203C11×C22⋊Q8C2×C418yes—
204C11×C22⋊Q8C2×C418yes—
205C4×Q8×C11C2×C418yescomplemented
206C4×Q8×C11C2×C418yescomplemented
207C11×#117C2×C418yes—
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
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
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
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
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#34445—111nomaximal, Sylow
359C24×C11C2411yescharacteristic
360C2×Q8×C11—41no—
361C2×Q8×C11—41no—
362C2×Q8×C11—41no—
363C2×Q8×C11—41no—
364C2×Q8×C11C22×C414yes—
365C2×Q8×C11C22×C414yes—
366C22×C4×C11—41no—
367C22×C4×C11—41no—
368C22×C4×C11C22×C414yes—
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×Dic11—22no—
384C22×Dic11—41no—
385C22×Dic11—41no—
386C22×Dic11—41no—
387C22×Dic11—41no—
388C22×Dic11—41no—
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C11×C4⋊C4C22×C414yes—
406C11×C4⋊C4C22×C414yes—
407C11×C4⋊C4C22×C414yes—
408C11×C4⋊C4C22×C414yes—
409C11×C4⋊C4C22×C414yes—
410C11×C4⋊C4C22×C414yes—
411C11×C4⋊C4C22×C414yes—
412C11×C4⋊C4C22×C414yes—
413C11×C4⋊C4C22×C414yes—
414C11×C4⋊C4C22×C414yes—
415C11×C4⋊C4C22×C414yes—
416C11×C4⋊C4C22×C414yes—
417C11×C4⋊C4C22×C414yes—
418C11×C4⋊C4C22×C414yes—
419C11×C4⋊C4C22×C414yes—
420C11×C4⋊C4C22×C414yes—
421C11×C4⋊C4C22×C414yes—
422C11×C4⋊C4C22×C414yes—
423C11×C4⋊C4C22×C414yes—
424C11×C4⋊C4C22×C414yes—
425C11×C22⋊C4C22×C414yes—
426C11×C22⋊C4C22×C414yes—
427C11×C22⋊C4C22×C414yes—
428C11×C22⋊C4C22×C414yes—
429C11×C22⋊C4C22×C414yes—
430C11×C22⋊C4C22×C414yes—
431C42×C11C22×C414yes—
432C42×C11C22×C414yes—
433C42×C11C22×C414yes—
434C42×C11C22×C414yes—
435C42×C11C22×C414yes—
436C42×C11C22×C414yes—
437C22⋊Dic11—22no—
438C22⋊Dic11—41no—
439C22⋊Dic11—41no—
440C22⋊Dic11—41no—
441C22⋊Dic11—41no—
442C22⋊Dic11—41no—
443C4⋊Dic11—22no—
444C4⋊Dic11—22no—
445C4⋊Dic11—22no—
446C4⋊Dic11—22no—
447C4⋊Dic11—22no—
448C4⋊Dic11—41no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456C4⋊Dic11—41no—
457C4⋊Dic11—41no—
458C4⋊Dic11—41no—
459C4⋊Dic11—41no—
460C4⋊Dic11—41no—
461C4⋊Dic11—41no—
462C4⋊Dic11—41no—
463C4⋊Dic11—41no—
464C4⋊Dic11—41no—
465C4⋊Dic11—41no—
466C4⋊Dic11—41no—
467C4⋊Dic11—41no—
468C4⋊Dic11—41no—
469C4×Dic11—22no—
470C4×Dic11—22no—
471C4×Dic11—22no—
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×Dic11—41no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11—41no—
486C4×Dic11—41no—
487C4×Dic11—41no—
488C4×Dic11—41no—
489C4×Dic11—41no—
490C4×Dic11—41no—
491C4×Dic11—41no—
492C4×Dic11—41no—
493C4×Dic11—41no—
494C4×Dic11—41no—
495C2×#541D1111yescharacteristic
496#2383—111no—
497#2382—111no—
498#2381—111no—
499#2378—111no—
500#2373—111no—
501#2373—111no—
502#2373—111no—
503#2371—111no—
504#2370—111no—
505#2370—111no—
506#2369—111no—
507#2368—111no—
508#2356—111no—
509#2355—111no—
510#2347—111no—
511#2343—111no—
512#2336—111no—
513#2336—111no—
514#2336—111no—
515#2336—111no—
516#2334—111no—
517#2334—111no—
518#2334—111no—
519#2332—111no—
520#2330—111no—
521#2329—111no—
522#2320—111no—
523C4×#125—111no—
524C4×#126—111no—
525#2295—111no—
526C23×C11—21no—
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—21no—
530C23×C11—21no—
531C23×C11—21no—
532C23×C11C23×C412yes—
533C23×C11C2511yescharacteristic
534Q8×C11—44no—
535Q8×C11—44no—
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×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—44no—
565C2×C4×C11C23×C412yes—
566C2×C4×C11C23×C412yes—
567C2×C4×C11C23×C412yes—
568C2×C4×C11C23×C412yes—
569C2×C4×C11C23×C412yes—
570C2×C4×C11C23×C412yes—
571C2×C4×C11C23×C412yes—
572C2×C4×C11C23×C412yes—
573C2×C4×C11C23×C412yes—
574C2×C4×C11C23×C412yes—
575C2×C4×C11C23×C412yes—
576C2×C4×C11C23×C412yes—
577C2×C4×C11C23×C412yes—
578C2×C4×C11C23×C412yes—
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×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—82no—
626C2×Dic11—82no—
627C2×Dic112−1+412yes—
628C2×Dic112−1+412yes—
629#541Dic11116yescomplemented
630C2×C4⋊Q8C2×D1111yescharacteristic
631C2×#126C2×D1111yescharacteristic
632C2×#126C2×D1111yescharacteristic
633C2×#126C2×D1111yescharacteristic
634C2×#126C2×D1111yescharacteristic
635C2×#125C2×D1111yescharacteristic
636C2×#125C2×D1111yescharacteristic
637C2×#125C2×D1111yescharacteristic
638C2×#125C2×D1111yescharacteristic
639C2×#125C2×D1111yescharacteristic
640C2×C22⋊Q8C2×D1111yescharacteristic
641C2×C22⋊Q8C2×D1111yescharacteristic
642C2×C4×Q8C2×D1111yescharacteristic
643C2×C4×Q8C2×D1111yescharacteristic
644C2×#117C2×D1111yescharacteristic
645#391—111no—
646#391—111no—
647#391—111no—
648#391—111no—
649#391—111no—
650#391—111no—
651#391—111no—
652#391—111no—
653#389—111no—
654#389—111no—
655#389—111no—
656#389—111no—
657#389—111no—
658#389—111no—
659#389—111no—
660#389—111no—
661#389—111no—
662#389—111no—
663#389—111no—
664#389—111no—
665#389—111no—
666#389—111no—
667#389—111no—
668#389—111no—
669#389—111no—
670#389—111no—
671#388—111no—
672#388—111no—
673#388—111no—
674#388—111no—
675#388—111no—
676#388—111no—
677#388—111no—
678#388—111no—
679#388—111no—
680#388—111no—
681#388—111no—
682#388—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#387—111no—
713#387—111no—
714#387—111no—
715#387—111no—
716#387—111no—
717#387—111no—
718#387—111no—
719#387—111no—
720#387—111no—
721#387—111no—
722#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
726#387—111no—
727#385—111no—
728#385—111no—
729#385—111no—
730#385—111no—
731#385—111no—
732#385—111no—
733#384—111no—
734#383—111no—
735#383—111no—
736#383—111no—
737#383—111no—
738#383—111no—
739#382—111no—
740#382—111no—
741#382—111no—
742#382—111no—
743#381—111no—
744#380—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⋊C4—111no—
754C4×C4⋊C4—111no—
755C4×C4⋊C4—111no—
756C4×C4⋊C4—111no—
757C4×C4⋊C4—111no—
758C4×C4⋊C4—111no—
759C4×C4⋊C4—111no—
760C4×C4⋊C4—111no—
761C4×C4⋊C4—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4—111no—
765C4×C4⋊C4—111no—
766C4×C4⋊C4—111no—
767C4×C4⋊C4—111no—
768C4×C4⋊C4—111no—
769C4×C4⋊C4—111no—
770C4×C4⋊C4—111no—
771C4×C4⋊C4—111no—
772C4×C22⋊C4—111no—
773C4×C22⋊C4—111no—
774C4×C22⋊C4—111no—
775C4×C22⋊C4—111no—
776C4×C22⋊C4—111no—
777C4×C22⋊C4—111no—
778C4×C22⋊C4—111no—
779#376—111no—
780#376—111no—
781#376—111no—
782#376—111no—
783C2×#95—111no—
784C43—111no—
785C22×C11—22no—
786C22×C11—22no—
787C22×C11—22no—
788C22×C11—41no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11—41no—
792C22×C11C24×C411yescharacteristic
793C22×C11C2×2−1+411yescharacteristic
794C22×C11C2×2−1+411yescharacteristic
795C22×C11#58511yescharacteristic
796C22×C11#58511yescharacteristic
797C22×C11#58511yescharacteristic
798C22×C11#58511yescharacteristic
799C4×C11—22no—
800C4×C11—22no—
801C4×C11—22no—
802C4×C11—22no—
803C4×C11—22no—
804C4×C11—22no—
805C4×C11—22no—
806C4×C11—22no—
807C4×C11—22no—
808C4×C11—22no—
809C4×C11—22no—
810C4×C11—22no—
811C4×C11—22no—
812C4×C11—22no—
813Dic11—22no—
814Dic11—22no—
815Dic11—41no—
816Dic11—41no—
817Dic11—41no—
818Dic11—41no—
819Dic11—41no—
820Dic11—41no—
821Dic11—41no—
822Dic11—41no—
823Dic11—41no—
824Dic11—41no—
825Dic11—41no—
826Dic11—41no—
827Dic11—41no—
828Dic11—41no—
829C22×Q8C22×D1111yescharacteristic
830C22×Q8C22×D1111yescharacteristic
831C23×C4—111no—
832C23×C4—111no—
833C23×C4C22×D1111yescharacteristic
834C4⋊Q8C2×Dic1118yescomplemented
835#126C2×Dic1118yes—
836#126C2×Dic1118yes—
837#126C2×Dic1118yes—
838#126C2×Dic1118yes—
839#125C2×Dic1118yescomplemented
840#125C2×Dic1118yescomplemented
841#125C2×Dic1118yescomplemented
842#125C2×Dic1118yescomplemented
843#125C2×Dic1118yescomplemented
844C22⋊Q8C2×Dic1118yes—
845C22⋊Q8C2×Dic1118yes—
846C4×Q8C2×Dic1118yescomplemented
847C4×Q8C2×Dic1118yescomplemented
848#117C2×Dic1118yes—
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⋊C4—111no—
866C2×C4⋊C4—111no—
867C2×C4⋊C4—111no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4C22×D1111yescharacteristic
876C2×C4⋊C4C22×D1111yescharacteristic
877C2×C4⋊C4C22×D1111yescharacteristic
878C2×C4⋊C4C22×D1111yescharacteristic
879C2×C4⋊C4C22×D1111yescharacteristic
880C2×C4⋊C4C22×D1111yescharacteristic
881C2×C4⋊C4C22×D1111yescharacteristic
882C2×C4⋊C4C22×D1111yescharacteristic
883C2×C4⋊C4C22×D1111yescharacteristic
884C2×C4⋊C4C22×D1111yescharacteristic
885C2×C4⋊C4C22×D1111yescharacteristic
886C2×C4⋊C4C22×D1111yescharacteristic
887C2×C4⋊C4C22×D1111yescharacteristic
888C2×C4⋊C4C22×D1111yescharacteristic
889C2×C4⋊C4C22×D1111yescharacteristic
890C2×C4⋊C4C22×D1111yescharacteristic
891C2×C4⋊C4C22×D1111yescharacteristic
892C2×C4⋊C4C22×D1111yescharacteristic
893C2×C4⋊C4C22×D1111yescharacteristic
894C2×C4⋊C4C22×D1111yescharacteristic
895C2×C22⋊C4—111no—
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4—111no—
899C2×C22⋊C4—111no—
900C2×C22⋊C4—111no—
901C2×C22⋊C4C22×D1111yescharacteristic
902C2×C22⋊C4C22×D1111yescharacteristic
903C2×C22⋊C4C22×D1111yescharacteristic
904C2×C22⋊C4C22×D1111yescharacteristic
905C2×C22⋊C4C22×D1111yescharacteristic
906C2×C22⋊C4C22×D1111yescharacteristic
907C2×C42—111no—
908C2×C42—111no—
909C2×C42—111no—
910C2×C42—111no—
911C2×C42—111no—
912C2×C42—111no—
913C2×C42—111no—
914C2×C42—111no—
915C2×C42—111no—
916C2×C42—111no—
917C2×C42—111no—
918C2×C42—111no—
919C2×C42—111no—
920C2×C42—111no—
921C2×C42—111no—
922C2×C42—111no—
923C2×C42—111no—
924C2×C42—111no—
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—111no—
931C2×C42—111no—
932C2×C42—111no—
933C2×C42C22×D1111yescharacteristic
934C2×C42C22×D1111yescharacteristic
935C2×C42C22×D1111yescharacteristic
936C2×C42C22×D1111yescharacteristic
937C2×C42C22×D1111yescharacteristic
938C2×C42C22×D1111yescharacteristic
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#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999C2×C11—42no—
1000C2×C11#342811yescharacteristic
1001C2×C11C4×2−1+411yescharacteristic
1002C2×C11C4×2−1+411yescharacteristic
1003C2×C11#355311yescharacteristic
1004C2×C11#355511yescharacteristic
1005C2×C11#356411yescharacteristic
1006C2×C11#356611yescharacteristic
1007C24C23×D1111yescharacteristic
1008C2×Q8—41no—
1009C2×Q8—41no—
1010C2×Q8—41no—
1011C2×Q8—41no—
1012C2×Q8C22×Dic1114yes—
1013C2×Q8C22×Dic1114yes—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—111no—
1017C22×C4—111no—
1018C22×C4—111no—
1019C22×C4—111no—
1020C22×C4—111no—
1021C22×C4—111no—
1022C22×C4—111no—
1023C22×C4—111no—
1024C22×C4—111no—
1025C22×C4—111no—
1026C22×C4—111no—
1027C22×C4—111no—
1028C22×C4—111no—
1029C22×C4—111no—
1030C22×C4—111no—
1031C22×C4—111no—
1032C22×C4—222no—
1033C22×C4—441no—
1034C22×C4—441no—
1035C22×C4—441no—
1036C22×C4—441no—
1037C22×C4—441no—
1038C22×C4C22×Dic1114yes—
1039C22×C4C23×D1111yescharacteristic
1040C22×C4C23×D1111yescharacteristic
1041C22×C4C23×D1111yescharacteristic
1042C22×C4C23×D1111yescharacteristic
1043C22×C4C23×D1111yescharacteristic
1044C22×C4C23×D1111yescharacteristic
1045C22×C4C23×D1111yescharacteristic
1046C22×C4C23×D1111yescharacteristic
1047C22×C4C23×D1111yescharacteristic
1048C22×C4C23×D1111yescharacteristic
1049C22×C4C23×D1111yescharacteristic
1050C22×C4C23×D1111yescharacteristic
1051C22×C4C23×D1111yescharacteristic
1052C22×C4C23×D1111yescharacteristic
1053C4⋊C4—222no—
1054C4⋊C4—222no—
1055C4⋊C4—222no—
1056C4⋊C4—222no—
1057C4⋊C4—222no—
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⋊C4—441no—
1067C4⋊C4—441no—
1068C4⋊C4—441no—
1069C4⋊C4—441no—
1070C4⋊C4—441no—
1071C4⋊C4—441no—
1072C4⋊C4—441no—
1073C4⋊C4—441no—
1074C4⋊C4—441no—
1075C4⋊C4—441no—
1076C4⋊C4—441no—
1077C4⋊C4—441no—
1078C4⋊C4—441no—
1079C4⋊C4C22×Dic1114yes—
1080C4⋊C4C22×Dic1114yes—
1081C4⋊C4C22×Dic1114yes—
1082C4⋊C4C22×Dic1114yes—
1083C4⋊C4C22×Dic1114yes—
1084C4⋊C4C22×Dic1114yes—
1085C4⋊C4C22×Dic1114yes—
1086C4⋊C4C22×Dic1114yes—
1087C4⋊C4C22×Dic1114yes—
1088C4⋊C4C22×Dic1114yes—
1089C4⋊C4C22×Dic1114yes—
1090C4⋊C4C22×Dic1114yes—
1091C4⋊C4C22×Dic1114yes—
1092C4⋊C4C22×Dic1114yes—
1093C4⋊C4C22×Dic1114yes—
1094C4⋊C4C22×Dic1114yes—
1095C4⋊C4C22×Dic1114yes—
1096C4⋊C4C22×Dic1114yes—
1097C4⋊C4C22×Dic1114yes—
1098C4⋊C4C22×Dic1114yes—
1099C22⋊C4—222no—
1100C22⋊C4—441no—
1101C22⋊C4—441no—
1102C22⋊C4—441no—
1103C22⋊C4—441no—
1104C22⋊C4—441no—
1105C22⋊C4C22×Dic1114yes—
1106C22⋊C4C22×Dic1114yes—
1107C22⋊C4C22×Dic1114yes—
1108C22⋊C4C22×Dic1114yes—
1109C22⋊C4C22×Dic1114yes—
1110C22⋊C4C22×Dic1114yes—
1111C42—222no—
1112C42—222no—
1113C42—222no—
1114C42—441no—
1115C42—441no—
1116C42—441no—
1117C42—441no—
1118C42—441no—
1119C42—441no—
1120C42—441no—
1121C42—441no—
1122C42—441no—
1123C42—441no—
1124C42—441no—
1125C42—441no—
1126C42—441no—
1127C42—441no—
1128C42—441no—
1129C42—441no—
1130C42—441no—
1131C42—441no—
1132C42—441no—
1133C42—441no—
1134C42—441no—
1135C42—441no—
1136C42—441no—
1137C42C22×Dic1114yes—
1138C42C22×Dic1114yes—
1139C42C22×Dic1114yes—
1140C42C22×Dic1114yes—
1141C42C22×Dic1114yes—
1142C42C22×Dic1114yes—
1143C11#3444511yescharacteristic, complemented, Sylow
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23C23×Dic1112yes—
1151C23C24×D1111yescharacteristic
1152Q8—44no—
1153Q8—44no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—44no—
1183C2×C4—112no—
1184C2×C4—112no—
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×C4—221no—
1194C2×C4—221no—
1195C2×C4—221no—
1196C2×C4—221no—
1197C2×C4—221no—
1198C2×C4—221no—
1199C2×C4—221no—
1200C2×C4—221no—
1201C2×C4—221no—
1202C2×C4—221no—
1203C2×C4—221no—
1204C2×C4—221no—
1205C2×C4—221no—
1206C2×C4—221no—
1207C2×C4—221no—
1208C2×C4—221no—
1209C2×C4—221no—
1210C2×C4—221no—
1211C2×C4—221no—
1212C2×C4—221no—
1213C2×C4—221no—
1214C2×C4—221no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—882no—
1232C2×C4—882no—
1233C2×C4C23×Dic1112yes—
1234C2×C4C23×Dic1112yes—
1235C2×C4C23×Dic1112yes—
1236C2×C4C23×Dic1112yes—
1237C2×C4C23×Dic1112yes—
1238C2×C4C23×Dic1112yes—
1239C2×C4C23×Dic1112yes—
1240C2×C4C23×Dic1112yes—
1241C2×C4C23×Dic1112yes—
1242C2×C4C23×Dic1112yes—
1243C2×C4C23×Dic1112yes—
1244C2×C4C23×Dic1112yes—
1245C2×C4C23×Dic1112yes—
1246C2×C4C23×Dic1112yes—
1247C22—22no—
1248C22—22no—
1249C22—22no—
1250C22—41no—
1251C22—41no—
1252C22—41no—
1253C22—41no—
1254C22#1062345311yescharacteristic
1255C22#1062345311yescharacteristic
1256C22D11×2−1+411yescharacteristic
1257C22D11×2−1+411yescharacteristic
1258C22#1062345711yescharacteristic
1259C22#1062345711yescharacteristic
1260C22C24×Dic1111yescharacteristic
1261C4—22no—
1262C4—22no—
1263C4—22no—
1264C4—22no—
1265C4—22no—
1266C4—22no—
1267C4—22no—
1268C4—22no—
1269C4—22no—
1270C4—22no—
1271C4—22no—
1272C4—22no—
1273C4—22no—
1274C4—22no—
1275C4—222no—
1276C4—222no—
1277C4—441no—
1278C4—441no—
1279C4—441no—
1280C4—441no—
1281C4—441no—
1282C4—441no—
1283C4—441no—
1284C4—441no—
1285C4—441no—
1286C4—441no—
1287C4—441no—
1288C4—441no—
1289C4—441no—
1290C4—441no—
1291C2—42no—
1292C2#1308181911yescharacteristic
1293C22−1+4×Dic1111yescharacteristic
1294C22−1+4×Dic1111yescharacteristic
1295C2#1308307011yescharacteristic
1296C2#1308309711yescharacteristic
1297C2#1308322911yescharacteristic
1298C2#1308329911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#541C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenterC2×#541D11
hypocenterC11#34445
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
2. #13071802C2semidirect
3. #13071797C2semidirect
8. #13071722C2semidirect
9. #13071716C2semidirect
10. #13071716C2semidirect
11. #13071706C2semidirect
13. #13071581C2semidirect
14. #13071573C2semidirect
17. #13071422C2semidirect
18. #13071422C2semidirect
19. #13071422C2semidirect
20. #13071422C2semidirect
25. #13071358C2semidirect
27. #13071267C2semidirect
28. #125×Dic11C2semidirect
30. #13071094C2semidirect
32. C11×#541C4semidirect
193. C11×C4⋊Q8C2×C4semidirect
198. C11×#125C2×C4semidirect
199. C11×#125C2×C4semidirect
200. C11×#125C2×C4semidirect
201. C11×#125C2×C4semidirect
202. C11×#125C2×C4semidirect
205. C4×Q8×C11C2×C4semidirect
206. C4×Q8×C11C2×C4semidirect
629. #541Dic11semidirect
834. C4⋊Q8C2×Dic11semidirect
839. #125C2×Dic11semidirect
840. #125C2×Dic11semidirect
841. #125C2×Dic11semidirect
842. #125C2×Dic11semidirect
843. #125C2×Dic11semidirect
846. C4×Q8C2×Dic11semidirect
847. C4×Q8C2×Dic11semidirect
1143. C11#34445semidirect

Maximal subgroups

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

subgroupindex
#130718082
#130718022
#130717972
#130717822
#130717402
#130717222
#130717162
#130717062
#130717012
#130715812
#130715732
#130715092
#130714762
#130714222
#130713952
#130713742
#130713582
#130713512
#130712672
#125×Dic112
#126×Dic112
#130710942
C2×C11×#5412
#3444511