Finite Group Databasebeta

← C11×#18052 #14595245

Subgroups — C11×#18052 #14595245

Order 2816.

674 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2991C211yesmaximal, characteristic, complemented
2C11×#2974C211yesmaximal, characteristic, complemented
3C4×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic
4C11×#1594C211yesmaximal, characteristic, complemented
5C11×#1589C211yesmaximal, characteristic, complemented
6C11×#1588C211yesmaximal, characteristic, complemented
7C11×#1586C211yesmaximal, characteristic, complemented
8C11×#1583C211yesmaximal, characteristic, complemented
9C11×#1581C211yesmaximal, characteristic, complemented
10C11×SD16⋊C8C211yesmaximal, characteristic, complemented
11C8×C11×SD16C211yesmaximal, characteristic, complemented
12C11×#1569C211yesmaximal, characteristic, complemented
13C11×#1488C211yesmaximal, characteristic, complemented
14C11×#1486C211yesmaximal, characteristic, complemented
15C11×#1453C211yesmaximal, characteristic, complemented
16C2×C11×AGL(1,ℤ/8)C411yescharacteristic
17C4×C11×#41C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C8×Q8×C11C2211yescharacteristic, complemented
20C8×Q8×C11C2211yescharacteristic, complemented
21C11×#442C411yescharacteristic
22C11×#442C411yescharacteristic
23C11×#440C411yescharacteristic
24C11×#440C411yescharacteristic
25C4×C11×SD16C2211yescharacteristic
26C4×C11×SD16C2211yescharacteristic
27C4×C11×D8C2211yescharacteristic
28C4×C11×D8C2211yescharacteristic
29C11×#436—21no—
30C11×#436—21no—
31C11×#436C2211yescharacteristic
32C11×#436C2211yescharacteristic
33C11×#436C2211yescharacteristic, complemented
34C11×#436C2211yescharacteristic, complemented
35C11×#435—21no—
36C11×#435—21no—
37C8×D4×C11C2211yescharacteristic
38C8×D4×C11C2211yescharacteristic
39C11×#432C2211yescharacteristic
40C11×#431—21no—
41C11×#431C2211yescharacteristic
42C11×#431C2211yescharacteristic
43C11×#428C411yescharacteristic
44C11×#423—21no—
45C11×#423C2211yescharacteristic
46C11×#418C411yescharacteristic
47C11×#417C411yescharacteristic
48C11×#407—21no—
49C2×C11×C22⋊C8—21no—
50C4×C11×M16C2211yescharacteristic
51C11×#335C2211yescharacteristic, complemented
52C11×#335C2211yescharacteristic, complemented
53C11×#334C2211yescharacteristic, complemented
54C11×#334C2211yescharacteristic, complemented
55C11×Q8⋊C8C2211yescharacteristic, complemented
56C11×Q8⋊C8C2211yescharacteristic, complemented
57C11×D4⋊C8C2211yescharacteristic
58C11×D4⋊C8C2211yescharacteristic
59C11×D4⋊C8C2211yescharacteristic
60C11×D4⋊C8C2211yescharacteristic
61C11×D4⋊C8C2211yescharacteristic, complemented
62C11×D4⋊C8C2211yescharacteristic, complemented
63C11×#322C2211yescharacteristic, complemented
64C11×#322C2211yescharacteristic, complemented
65C11×#322C2211yescharacteristic, complemented
66C82×C11C2211yescharacteristic, complemented
67C2×C11×#41C2×C411yescharacteristic
68C22×D4×C11C2×C411yescharacteristic
69C23×C4×C11—21no—
70C11×AGL(1,ℤ/8)—24no—
71C2×C11×SD16C2×C411yescharacteristic
72C2×C11×SD16C2×C411yescharacteristic
73C2×C11×D8C2×C411yescharacteristic
74C2×C11×D8C2×C411yescharacteristic
75C2×C11×M16—21no—
76C2×C11×M16—21no—
77C2×C11×M16—21no—
78C2×C11×M16—21no—
79C2×C11×M16—21no—
80C2×C11×M16C2×C411yescharacteristic
81C2×C11×M16C2×C411yescharacteristic
82C22×C8×C11—21no—
83C22×C8×C11—21no—
84C4×Q8×C11C2×C411yescharacteristic
85C4×Q8×C11C2311yescharacteristic
86C4×D4×C11—21no—
87C4×D4×C11—21no—
88C4×D4×C11—21no—
89C4×D4×C11—21no—
90C4×D4×C11C2×C411yescharacteristic
91C4×D4×C11C2×C411yescharacteristic
92C4×D4×C11C2×C411yescharacteristic
93C4×D4×C11C2311yescharacteristic
94C4×D4×C11C2311yescharacteristic
95C4×D4×C11C2311yescharacteristic
96C11×#117—21no—
97C11×#117C2×C411yescharacteristic
98C2×C11×C4⋊C4C2×C411yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C42×C11—21no—
101C2×C42×C11C2311yescharacteristic
102C11×#107C2×C411yescharacteristic
103C11×#107C2×C411yescharacteristic
104C11×#106C2×C411yescharacteristic
105C11×#106C2×C411yescharacteristic
106C11×C4⋊C8—21no—
107C11×C4⋊C8—21no—
108C11×C4⋊C8—21no—
109C11×C4⋊C8—21no—
110C11×C4⋊C8D411yescharacteristic
111C11×C4⋊C8D411yescharacteristic
112C11×C4⋊C8C2311yescharacteristic
113C11×C4⋊C8C2311yescharacteristic
114C11×C4⋊C8C2311yescharacteristic
115C11×C4⋊C8C2311yescharacteristic
116C11×#103C2×C411yescharacteristic
117C11×#103C2×C411yescharacteristic
118C11×#102C2×C411yescharacteristic
119C11×#102C2×C411yescharacteristic
120C11×#102C2×C411yescharacteristic
121C11×#102C2×C411yescharacteristic
122C11×#102C2×C411yescharacteristic
123C11×#102C2×C411yescharacteristic
124C11×C22⋊C8—21no—
125C11×C22⋊C8—21no—
126C11×C22⋊C8—21no—
127C11×C22⋊C8—21no—
128C11×C22⋊C8—21no—
129C11×C22⋊C8—21no—
130C11×C22⋊C8—21no—
131C11×C22⋊C8—21no—
132C11×C22⋊C8D411yescharacteristic
133C11×C22⋊C8D411yescharacteristic
134C11×#97—21no—
135C11×#97C2×C411yescharacteristic
136C11×#97C2×C411yescharacteristic
137C4×C8×C11—21no—
138C4×C8×C11—21no—
139C4×C8×C11C2311yescharacteristic
140C4×C8×C11C2311yescharacteristic
141C4×C8×C11C2311yescharacteristic
142C4×C8×C11C2311yescharacteristic
143C4×C8×C11C2311yescharacteristic
144C4×C8×C11C2311yescharacteristic
145#18052C1111yesmaximal, characteristic, direct product factor, Sylow
146C24×C11—21no—
147C11×#41—22no—
148C11×#41—41no—
149C2×Q8×C11C22×C411yescharacteristic
150C2×D4×C11—22no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—41no—
154C2×D4×C11C22×C411yescharacteristic
155C2×D4×C11C22×C411yescharacteristic
156C2×D4×C11C22×C411yescharacteristic
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—81no—
166C22×C4×C11—81no—
167C22×C4×C11C22×C411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11#4111yescharacteristic
170C11×SD16—22no—
171C11×SD16M1614yescomplemented
172C11×D8—22no—
173C11×D8—22no—
174C11×M16—22no—
175C11×M16—41no—
176C11×M16—81no—
177C11×M16—81no—
178C11×M16—81no—
179C11×M16—81no—
180C11×M16—81no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—81no—
188C2×C8×C11—81no—
189C2×C8×C11C22×C411yescharacteristic
190C2×C8×C11C22×C411yescharacteristic
191C2×C8×C11C22×C411yescharacteristic
192C2×C8×C11C22×C411yescharacteristic
193C2×C8×C11C2×D411yescharacteristic
194C2×C8×C11C2×D411yescharacteristic
195C2×C8×C11C2×D411yescharacteristic
196C2×C8×C11C2×D411yescharacteristic
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4C22×C411yescharacteristic
201C11×C4⋊C4C22×C411yescharacteristic
202C11×C4⋊C4C22×C411yescharacteristic
203C11×C4⋊C4C22×C411yescharacteristic
204C11×C22⋊C4—21no—
205C11×C22⋊C4—21no—
206C11×C22⋊C4—21no—
207C11×C22⋊C4—21no—
208C11×C22⋊C4—21no—
209C11×C22⋊C4—21no—
210C11×C22⋊C4—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11C22×C411yescharacteristic
215C42×C11C2×D411yescharacteristic
216C42×C11#4111yescharacteristic
217C42×C11C2411yescharacteristic
218#2991C2×C1111yescharacteristic, complemented
219#2974C2×C1111yescharacteristic, complemented
220C4×AGL(1,ℤ/8)C2×C1111yescharacteristic
221#1594C2×C1111yescharacteristic, complemented
222#1589C2×C1111yescharacteristic, complemented
223#1588C2×C1111yescharacteristic, complemented
224#1586C2×C1111yescharacteristic, complemented
225#1583C2×C1111yescharacteristic, complemented
226#1581C2×C1111yescharacteristic, complemented
227SD16⋊C8C2×C1111yescharacteristic, complemented
228C8×SD16C2×C1111yescharacteristic, complemented
229#1569C2×C1111yescharacteristic, complemented
230#1488C2×C1111yescharacteristic, complemented
231#1486C2×C1111yescharacteristic, complemented
232#1453C2×C1111yescharacteristic, complemented
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—81no—
239C23×C11C4×D411yescharacteristic
240Q8×C11—21no—
241Q8×C11C2×M1612yes—
242D4×C11—21no—
243D4×C11—21no—
244D4×C11—21no—
245D4×C11—21no—
246D4×C11—21no—
247D4×C11—42no—
248D4×C11—42no—
249D4×C11C2×M1612yes—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—41no—
260C2×C4×C11—42no—
261C2×C4×C11—42no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—81no—
269C2×C4×C11—81no—
270C2×C4×C11—81no—
271C2×C4×C11C4×D411yescharacteristic
272C2×C4×C11C4×D411yescharacteristic
273C2×C4×C11C4×D411yescharacteristic
274C2×C4×C11C23×C411yescharacteristic
275C2×C4×C11C22×D411yescharacteristic
276C2×C4×C11C2×#4111yescharacteristic
277C8×C11—21no—
278C8×C11—21no—
279C8×C11—21no—
280C8×C11—21no—
281C8×C11—21no—
282C8×C11—21no—
283C8×C11—21no—
284C8×C11—41no—
285C8×C11—41no—
286C8×C11—41no—
287C8×C11—41no—
288C8×C11—41no—
289C8×C11—41no—
290C8×C11C2×M1612yes—
291C2×AGL(1,ℤ/8)C4×C1111yescharacteristic
292C4×#41C22×C1111yescharacteristic
293C2×C4×D4C22×C1111yescharacteristic
294C8×Q8C22×C1111yescharacteristic, complemented
295C8×Q8C22×C1111yescharacteristic, complemented
296#442C4×C1111yescharacteristic
297#442C4×C1111yescharacteristic
298#440C4×C1111yescharacteristic
299#440C4×C1111yescharacteristic
300C4×SD16C22×C1111yescharacteristic
301C4×SD16C22×C1111yescharacteristic
302C4×D8C22×C1111yescharacteristic
303C4×D8C22×C1111yescharacteristic
304#436—21no—
305#436—21no—
306#436C22×C1111yescharacteristic
307#436C22×C1111yescharacteristic
308#436C22×C1111yescharacteristic, complemented
309#436C22×C1111yescharacteristic, complemented
310#435—21no—
311#435—21no—
312C8×D4C22×C1111yescharacteristic
313C8×D4C22×C1111yescharacteristic
314#432C22×C1111yescharacteristic
315#431—21no—
316#431C22×C1111yescharacteristic
317#431C22×C1111yescharacteristic
318#428C4×C1111yescharacteristic
319#423—21no—
320#423C22×C1111yescharacteristic
321#418C4×C1111yescharacteristic
322#417C4×C1111yescharacteristic
323#407—21no—
324C2×C22⋊C8—21no—
325C4×M16C22×C1111yescharacteristic
326#335C22×C1111yescharacteristic, complemented
327#335C22×C1111yescharacteristic, complemented
328#334C22×C1111yescharacteristic, complemented
329#334C22×C1111yescharacteristic, complemented
330Q8⋊C8C22×C1111yescharacteristic, complemented
331Q8⋊C8C22×C1111yescharacteristic, complemented
332D4⋊C8C22×C1111yescharacteristic
333D4⋊C8C22×C1111yescharacteristic
334D4⋊C8C22×C1111yescharacteristic
335D4⋊C8C22×C1111yescharacteristic
336D4⋊C8C22×C1111yescharacteristic, complemented
337D4⋊C8C22×C1111yescharacteristic, complemented
338#322C22×C1111yescharacteristic, complemented
339#322C22×C1111yescharacteristic, complemented
340#322C22×C1111yescharacteristic, complemented
341C82C22×C1111yescharacteristic, complemented
342C22×C11—21no—
343C22×C11—22no—
344C22×C11—21no—
345C22×C11—21no—
346C22×C11—41no—
347C22×C11—41no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—84no—
355C22×C11C2×C4×D411yescharacteristic
356C4×C11—21no—
357C4×C11—22no—
358C4×C11—21no—
359C4×C11—21no—
360C4×C11—21no—
361C4×C11—41no—
362C4×C11—41no—
363C4×C11—41no—
364C4×C11—41no—
365C4×C11C22×M1611yescharacteristic
366C4×C11#56811yescharacteristic
367C4×C11#57611yescharacteristic
368C4×C11#57711yescharacteristic
369C2×#41C2×C4×C1111yescharacteristic
370C22×D4C2×C4×C1111yescharacteristic
371C23×C4—21no—
372AGL(1,ℤ/8)—24no—
373C2×SD16C2×C4×C1111yescharacteristic
374C2×SD16C2×C4×C1111yescharacteristic
375C2×D8C2×C4×C1111yescharacteristic
376C2×D8C2×C4×C1111yescharacteristic
377C2×M16—21no—
378C2×M16—21no—
379C2×M16—21no—
380C2×M16—21no—
381C2×M16—21no—
382C2×M16C2×C4×C1111yescharacteristic
383C2×M16C2×C4×C1111yescharacteristic
384C22×C8—21no—
385C22×C8—21no—
386C4×Q8C2×C4×C1111yescharacteristic
387C4×Q8C23×C1111yescharacteristic
388C4×D4—21no—
389C4×D4—21no—
390C4×D4—21no—
391C4×D4—21no—
392C4×D4C2×C4×C1111yescharacteristic
393C4×D4C2×C4×C1111yescharacteristic
394C4×D4C2×C4×C1111yescharacteristic
395C4×D4C23×C1111yescharacteristic
396C4×D4C23×C1111yescharacteristic
397C4×D4C23×C1111yescharacteristic
398#117—21no—
399#117C2×C4×C1111yescharacteristic
400C2×C4⋊C4C2×C4×C1111yescharacteristic
401C2×C22⋊C4—21no—
402C2×C42—21no—
403C2×C42C23×C1111yescharacteristic
404#107C2×C4×C1111yescharacteristic
405#107C2×C4×C1111yescharacteristic
406#106C2×C4×C1111yescharacteristic
407#106C2×C4×C1111yescharacteristic
408C4⋊C8—21no—
409C4⋊C8—21no—
410C4⋊C8—21no—
411C4⋊C8—21no—
412C4⋊C8D4×C1111yescharacteristic
413C4⋊C8D4×C1111yescharacteristic
414C4⋊C8C23×C1111yescharacteristic
415C4⋊C8C23×C1111yescharacteristic
416C4⋊C8C23×C1111yescharacteristic
417C4⋊C8C23×C1111yescharacteristic
418#103C2×C4×C1111yescharacteristic
419#103C2×C4×C1111yescharacteristic
420#102C2×C4×C1111yescharacteristic
421#102C2×C4×C1111yescharacteristic
422#102C2×C4×C1111yescharacteristic
423#102C2×C4×C1111yescharacteristic
424#102C2×C4×C1111yescharacteristic
425#102C2×C4×C1111yescharacteristic
426C22⋊C8—21no—
427C22⋊C8—21no—
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8—21no—
434C22⋊C8D4×C1111yescharacteristic
435C22⋊C8D4×C1111yescharacteristic
436#97—21no—
437#97C2×C4×C1111yescharacteristic
438#97C2×C4×C1111yescharacteristic
439C4×C8—21no—
440C4×C8—21no—
441C4×C8C23×C1111yescharacteristic
442C4×C8C23×C1111yescharacteristic
443C4×C8C23×C1111yescharacteristic
444C4×C8C23×C1111yescharacteristic
445C4×C8C23×C1111yescharacteristic
446C4×C8C23×C1111yescharacteristic
447C2×C11—41no—
448C2×C11—42no—
449C2×C11—81no—
450C2×C11—81no—
451C2×C11D4×M1611yescharacteristic
452C2×C11#294611yescharacteristic
453C2×C11#295511yescharacteristic
454C24—21no—
455#41—22no—
456#41—41no—
457C2×Q8C22×C4×C1111yescharacteristic
458C2×D4—22no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—41no—
462C2×D4C22×C4×C1111yescharacteristic
463C2×D4C22×C4×C1111yescharacteristic
464C2×D4C22×C4×C1111yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4C22×C4×C1111yescharacteristic
476C22×C4C2×D4×C1111yescharacteristic
477C22×C4C11×#4111yescharacteristic
478SD16—22no—
479SD16C11×M1614yescomplemented
480D8—22no—
481D8—22no—
482M16—22no—
483M16—41no—
484M16—81no—
485M16—81no—
486M16—81no—
487M16—81no—
488M16—81no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—81no—
496C2×C8—81no—
497C2×C8C22×C4×C1111yescharacteristic
498C2×C8C22×C4×C1111yescharacteristic
499C2×C8C22×C4×C1111yescharacteristic
500C2×C8C22×C4×C1111yescharacteristic
501C2×C8C2×D4×C1111yescharacteristic
502C2×C8C2×D4×C1111yescharacteristic
503C2×C8C2×D4×C1111yescharacteristic
504C2×C8C2×D4×C1111yescharacteristic
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4C22×C4×C1111yescharacteristic
509C4⋊C4C22×C4×C1111yescharacteristic
510C4⋊C4C22×C4×C1111yescharacteristic
511C4⋊C4C22×C4×C1111yescharacteristic
512C22⋊C4—21no—
513C22⋊C4—21no—
514C22⋊C4—21no—
515C22⋊C4—21no—
516C22⋊C4—21no—
517C22⋊C4—21no—
518C22⋊C4—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42C22×C4×C1111yescharacteristic
523C42C2×D4×C1111yescharacteristic
524C42C11×#4111yescharacteristic
525C42C24×C1111yescharacteristic
526C11#1805211yescharacteristic, direct product factor, Sylow
527C23—21no—
528C23—21no—
529C23—21no—
530C23—42no—
531C23—42no—
532C23—81no—
533C23C4×D4×C1111yescharacteristic
534Q8—21no—
535Q8C2×C11×M1612yes—
536D4—21no—
537D4—21no—
538D4—21no—
539D4—21no—
540D4—21no—
541D4—42no—
542D4—42no—
543D4C2×C11×M1612yes—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—41no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—81no—
563C2×C4—81no—
564C2×C4—81no—
565C2×C4C4×D4×C1111yescharacteristic
566C2×C4C4×D4×C1111yescharacteristic
567C2×C4C4×D4×C1111yescharacteristic
568C2×C4C23×C4×C1111yescharacteristic
569C2×C4C22×D4×C1111yescharacteristic
570C2×C4C2×C11×#4111yescharacteristic
571C8—21no—
572C8—21no—
573C8—21no—
574C8—21no—
575C8—21no—
576C8—21no—
577C8—21no—
578C8—41no—
579C8—41no—
580C8—41no—
581C8—41no—
582C8—41no—
583C8—41no—
584C8C2×C11×M1612yes—
585C22—21no—
586C22—22no—
587C22—21no—
588C22—21no—
589C22—41no—
590C22—41no—
591C22—41no—
592C22—41no—
593C22—41no—
594C22—41no—
595C22—41no—
596C22—41no—
597C22—84no—
598C22C2×C4×D4×C1111yescharacteristic
599C4—21no—
600C4—22no—
601C4—21no—
602C4—21no—
603C4—21no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4—41no—
608C4C22×C11×M1611yescharacteristic
609C4C11×#56811yescharacteristic
610C4C11×#57611yescharacteristic
611C4C11×#57711yescharacteristic
612C2—41no—
613C2—42no—
614C2—81no—
615C2—81no—
616C2D4×C11×M1611yescharacteristic
617C2C11×#294611yescharacteristic
618C2C11×#295511yescharacteristic
subgroupG/H
centerC2×C4×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC42C24×C11
socleC22×C11C2×C4×D4
prime radicalC2×C11×AGL(1,ℤ/8)C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C11×#431 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2991C2semidirect
2. C11×#2974C2semidirect
4. C11×#1594C2semidirect
5. C11×#1589C2semidirect
6. C11×#1588C2semidirect
7. C11×#1586C2semidirect
8. C11×#1583C2semidirect
9. C11×#1581C2semidirect
10. C11×SD16⋊C8C2semidirect
11. C8×C11×SD16C2semidirect
12. C11×#1569C2semidirect
13. C11×#1488C2semidirect
14. C11×#1486C2semidirect
15. C11×#1453C2semidirect
19. C8×Q8×C11C22semidirect
20. C8×Q8×C11C22semidirect
33. C11×#436C22semidirect
34. C11×#436C22semidirect
51. C11×#335C22semidirect
52. C11×#335C22semidirect
53. C11×#334C22semidirect
54. C11×#334C22semidirect
55. C11×Q8⋊C8C22semidirect
56. C11×Q8⋊C8C22semidirect
61. C11×D4⋊C8C22semidirect
62. C11×D4⋊C8C22semidirect
63. C11×#322C22semidirect
64. C11×#322C22semidirect
65. C11×#322C22semidirect
66. C82×C11C22semidirect
145. #18052C11direct (N × H)
171. C11×SD16M16semidirect
218. #2991C2×C11semidirect
219. #2974C2×C11semidirect
221. #1594C2×C11semidirect
222. #1589C2×C11semidirect
223. #1588C2×C11semidirect
224. #1586C2×C11semidirect
225. #1583C2×C11semidirect
226. #1581C2×C11semidirect
227. SD16⋊C8C2×C11semidirect
228. C8×SD16C2×C11semidirect
229. #1569C2×C11semidirect
230. #1488C2×C11semidirect
231. #1486C2×C11semidirect
232. #1453C2×C11semidirect
294. C8×Q8C22×C11semidirect
295. C8×Q8C22×C11semidirect
308. #436C22×C11semidirect
309. #436C22×C11semidirect
326. #335C22×C11semidirect
327. #335C22×C11semidirect
328. #334C22×C11semidirect
329. #334C22×C11semidirect
330. Q8⋊C8C22×C11semidirect
331. Q8⋊C8C22×C11semidirect
336. D4⋊C8C22×C11semidirect
337. D4⋊C8C22×C11semidirect
338. #322C22×C11semidirect
339. #322C22×C11semidirect
340. #322C22×C11semidirect
341. C82C22×C11semidirect
479. SD16C11×M16semidirect
526. C11#18052direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#29912
C11×#29742
C4×C11×AGL(1,ℤ/8)2
C11×#15942
C11×#15892
C11×#15882
C11×#15862
C11×#15832
C11×#15812
C11×SD16⋊C82
C8×C11×SD162
C11×#15692
C11×#14882
C11×#14862
C11×#14532
#1805211