Finite Group Databasebeta

← C11×#22984 #14600177

Subgroups — C11×#22984 #14600177

Order 2816.

692 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3076C211yesmaximal, characteristic
2C11×#2962C211yesmaximal, characteristic, complemented
3C11×#2906C211yesmaximal, characteristic
4C11×#1995C211yesmaximal, characteristic, complemented
5C11×#1950C211yesmaximal, characteristic, complemented
6C11×#1946C211yesmaximal, characteristic, complemented
7C11×#1945C211yesmaximal, characteristic, complemented
8C11×#1922C211yesmaximal, characteristic, complemented
9C11×#1922C211yesmaximal, characteristic, complemented
10C11×#1866C211yesmaximal, characteristic
11C11×#1866C211yesmaximal, characteristic
12C11×#1768C211yesmaximal, characteristic, complemented
13C11×#1765C211yesmaximal, characteristic
14C11×#1764C211yesmaximal, characteristic
15C11×#1759C211yesmaximal, characteristic
16C2×C11×#131C2211yescharacteristic
17C2×C11×#131C2211yescharacteristic
18C11×#533C2211yescharacteristic
19C4×C11×#41C2211yescharacteristic
20C11×#479C411yescharacteristic, complemented
21C11×#479C411yescharacteristic, complemented
22C11×#478C411yescharacteristic, complemented
23C11×#478C411yescharacteristic, complemented
24C11×#477C411yescharacteristic, complemented
25C11×#476C411yescharacteristic, complemented
26C11×#475C411yescharacteristic, complemented
27C11×#474C411yescharacteristic, complemented
28C11×#446—21no—
29C11×#446—21no—
30C11×#446—21no—
31C8×Q8×C11—21no—
32C2×C11×#108C2211yescharacteristic
33C2×C11×#108C2211yescharacteristic
34C11×#427C2211yescharacteristic
35C11×#427C2211yescharacteristic
36C11×#424—21no—
37C11×#424—21no—
38C11×#424C2211yescharacteristic
39C11×#424C2211yescharacteristic
40C11×#424C2211yescharacteristic
41C11×#424C2211yescharacteristic
42C11×#423—21no—
43C11×#423C2211yescharacteristic
44C2×C11×C4⋊C8—21no—
45C2×C11×C4⋊C8C2211yescharacteristic
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×#104C2211yescharacteristic
48C2×C11×#104C2211yescharacteristic
49C11×#416C2211yescharacteristic
50C11×#416C2211yescharacteristic
51C11×#405C2211yescharacteristic
52C11×#405C2211yescharacteristic
53C4×C11×M16C2211yescharacteristic
54C2×C11×#97C2211yescharacteristic
55C2×C4×C8×C11C2211yescharacteristic
56C11×#376C2211yescharacteristic
57C11×#341C2211yescharacteristic
58C11×#341C2211yescharacteristic
59C11×#339C2211yescharacteristic
60C11×#339C2211yescharacteristic
61C11×#339C2211yescharacteristic
62C11×#339C2211yescharacteristic
63C11×#339C2211yescharacteristic
64C11×#339C2211yescharacteristic
65C11×#336C2211yescharacteristic
66C11×#336C2211yescharacteristic
67C2×C11×#41C2311yescharacteristic
68C11×#131—22no—
69C11×#131—22no—
70C11×#131—41no—
71C11×#131—41no—
72C2×C11×M16—21no—
73C2×C11×M16—21no—
74C2×C11×M16C2311yescharacteristic
75C2×C11×M16C2311yescharacteristic
76C2×C11×M16C2311yescharacteristic
77C2×C11×M16C2311yescharacteristic
78C22×C8×C11—21no—
79C22×C8×C11—21no—
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2311yescharacteristic
82C22×C8×C11C2311yescharacteristic
83C22×C8×C11C2311yescharacteristic
84C11×C4⋊Q8C2×C411yescharacteristic
85C11×C4⋊Q8C2×C411yescharacteristic
86C11×#125C2×C411yescharacteristic
87C11×#125C2×C411yescharacteristic
88C11×C22⋊Q8—21no—
89C11×C22⋊Q8—21no—
90C4×Q8×C11—21no—
91C4×Q8×C11—21no—
92C4×Q8×C11C2×C411yescharacteristic
93C4×Q8×C11C2×C411yescharacteristic
94C4×D4×C11—21no—
95C4×D4×C11—21no—
96C4×D4×C11C2×C411yescharacteristic
97C4×D4×C11C2×C411yescharacteristic
98C11×#117—21no—
99C11×#117C2311yescharacteristic
100C11×#117C2311yescharacteristic
101C11×#117C2311yescharacteristic
102C2×C42×C11—21no—
103C2×C42×C11C2311yescharacteristic
104C2×C42×C11C2311yescharacteristic
105C2×C42×C11C2311yescharacteristic
106C11×#108—41no—
107C11×#108—41no—
108C11×#107C2×C411yescharacteristic
109C11×#107C2×C411yescharacteristic
110C11×#107C2×C411yescharacteristic
111C11×#107C2×C411yescharacteristic
112C11×#106C2×C411yescharacteristic
113C11×#106C2×C411yescharacteristic
114C11×#106C2×C411yescharacteristic
115C11×#106C2×C411yescharacteristic
116C11×C4⋊C8—21no—
117C11×C4⋊C8—21no—
118C11×C4⋊C8—21no—
119C11×C4⋊C8—21no—
120C11×C4⋊C8—21no—
121C11×C4⋊C8—21no—
122C11×C4⋊C8—21no—
123C11×C4⋊C8—21no—
124C11×C4⋊C8—21no—
125C11×C4⋊C8—21no—
126C11×C4⋊C8C2×C411yescharacteristic
127C11×C4⋊C8C2×C411yescharacteristic
128C11×C4⋊C8C2×C411yescharacteristic
129C11×C4⋊C8C2×C411yescharacteristic
130C11×C4⋊C8D411yescharacteristic
131C11×C4⋊C8D411yescharacteristic
132C11×C4⋊C8D411yescharacteristic
133C11×C4⋊C8D411yescharacteristic
134C11×#104—22no—
135C11×#104Q814yescomplemented
136C11×#103C2×C411yescharacteristic
137C11×#103C2×C411yescharacteristic
138C11×#103C2×C411yescharacteristic
139C11×#103C2×C411yescharacteristic
140C11×#102C2×C411yescharacteristic
141C11×#102C2×C411yescharacteristic
142C11×#102C2×C411yescharacteristic
143C11×#102C2×C411yescharacteristic
144C11×#97—21no—
145C11×#97—21no—
146C11×#97—21no—
147C11×#97—41no—
148C4×C8×C11—21no—
149C4×C8×C11—21no—
150C4×C8×C11—21no—
151C4×C8×C11—41no—
152C11×#95—21no—
153C11×#95—21no—
154#22984C1111yesmaximal, characteristic, direct product factor, Sylow
155C11×#41—21no—
156C11×#41—21no—
157C11×#41C2×Q812yes—
158C11×#41#4112yes—
159C2×Q8×C11—21no—
160C2×Q8×C11—21no—
161C2×Q8×C11C22×C411yescharacteristic
162C2×D4×C11—21no—
163C2×D4×C11C22×C411yescharacteristic
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11#4111yescharacteristic
170C22×C4×C11#4111yescharacteristic
171C22×C4×C11C2411yescharacteristic
172C11×M16—21no—
173C11×M16—21no—
174C11×M16—21no—
175C11×M16—21no—
176C11×M16—21no—
177C11×M16—21no—
178C11×M16—21no—
179C11×M16—42no—
180C11×M16—42no—
181C11×M16C2×Q812yes—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—42no—
195C2×C8×C11—42no—
196C2×C8×C11C22×C411yescharacteristic
197C2×C8×C11C22×C411yescharacteristic
198C2×C8×C11C22×C411yescharacteristic
199C2×C8×C11C22×C411yescharacteristic
200C2×C8×C11C2×D411yescharacteristic
201C2×C8×C11C2×D411yescharacteristic
202C2×C8×C11C2×D411yescharacteristic
203C2×C8×C11C2×D411yescharacteristic
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4C22×C411yescharacteristic
213C11×C4⋊C4C22×C411yescharacteristic
214C11×C4⋊C4C22×C411yescharacteristic
215C11×C4⋊C4C22×C411yescharacteristic
216C11×C4⋊C4C22×C411yescharacteristic
217C11×C4⋊C4C22×C411yescharacteristic
218C11×C22⋊C4—21no—
219C11×C22⋊C4—21no—
220C11×C22⋊C4—21no—
221C11×C22⋊C4—21no—
222C11×C22⋊C4—21no—
223C42×C11—21no—
224C42×C11—21no—
225C42×C11—21no—
226C42×C11—21no—
227C42×C11—21no—
228C42×C11—21no—
229C42×C11—21no—
230C42×C11—21no—
231C42×C11C22×C411yescharacteristic
232C42×C11C22×C411yescharacteristic
233C42×C11C2×D411yescharacteristic
234C42×C11C2×D411yescharacteristic
235C42×C11C2×Q812yes—
236#3076C2×C1111yescharacteristic
237#2962C2×C1111yescharacteristic, complemented
238#2906C2×C1111yescharacteristic
239#1995C2×C1111yescharacteristic, complemented
240#1950C2×C1111yescharacteristic, complemented
241#1946C2×C1111yescharacteristic, complemented
242#1945C2×C1111yescharacteristic, complemented
243#1922C2×C1111yescharacteristic, complemented
244#1922C2×C1111yescharacteristic, complemented
245#1866C2×C1111yescharacteristic
246#1866C2×C1111yescharacteristic
247#1768C2×C1111yescharacteristic, complemented
248#1765C2×C1111yescharacteristic
249#1764C2×C1111yescharacteristic
250#1759C2×C1111yescharacteristic
251C23×C11—21no—
252C23×C11C2×#4111yescharacteristic
253Q8×C11—21no—
254Q8×C11—42no—
255Q8×C11—81no—
256Q8×C11C4×Q812yes—
257D4×C11—22no—
258D4×C11—22no—
259D4×C11—21no—
260D4×C11C4×Q812yes—
261C2×C4×C11—21no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—42no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—81no—
280C2×C4×C11C4×D411yescharacteristic
281C2×C4×C11C4×D411yescharacteristic
282C2×C4×C11C4×D411yescharacteristic
283C2×C4×C11C4×D411yescharacteristic
284C2×C4×C11C23×C411yescharacteristic
285C2×C4×C11C22×D411yescharacteristic
286C2×C4×C11C22×Q811yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C2×C4×C112−1+411yescharacteristic
290C8×C11—21no—
291C8×C11—21no—
292C8×C11—21no—
293C8×C11—21no—
294C8×C11—21no—
295C8×C11—21no—
296C8×C11—21no—
297C8×C11—21no—
298C8×C11—22no—
299C8×C11—41no—
300C8×C11—41no—
301C8×C11—41no—
302C2×#131C22×C1111yescharacteristic
303C2×#131C22×C1111yescharacteristic
304#533C22×C1111yescharacteristic
305C4×#41C22×C1111yescharacteristic
306#479C4×C1111yescharacteristic, complemented
307#479C4×C1111yescharacteristic, complemented
308#478C4×C1111yescharacteristic, complemented
309#478C4×C1111yescharacteristic, complemented
310#477C4×C1111yescharacteristic, complemented
311#476C4×C1111yescharacteristic, complemented
312#475C4×C1111yescharacteristic, complemented
313#474C4×C1111yescharacteristic, complemented
314#446—21no—
315#446—21no—
316#446—21no—
317C8×Q8—21no—
318C2×#108C22×C1111yescharacteristic
319C2×#108C22×C1111yescharacteristic
320#427C22×C1111yescharacteristic
321#427C22×C1111yescharacteristic
322#424—21no—
323#424—21no—
324#424C22×C1111yescharacteristic
325#424C22×C1111yescharacteristic
326#424C22×C1111yescharacteristic
327#424C22×C1111yescharacteristic
328#423—21no—
329#423C22×C1111yescharacteristic
330C2×C4⋊C8—21no—
331C2×C4⋊C8C22×C1111yescharacteristic
332C2×C4⋊C8C22×C1111yescharacteristic
333C2×#104C22×C1111yescharacteristic
334C2×#104C22×C1111yescharacteristic
335#416C22×C1111yescharacteristic
336#416C22×C1111yescharacteristic
337#405C22×C1111yescharacteristic
338#405C22×C1111yescharacteristic
339C4×M16C22×C1111yescharacteristic
340C2×#97C22×C1111yescharacteristic
341C2×C4×C8C22×C1111yescharacteristic
342#376C22×C1111yescharacteristic
343#341C22×C1111yescharacteristic
344#341C22×C1111yescharacteristic
345#339C22×C1111yescharacteristic
346#339C22×C1111yescharacteristic
347#339C22×C1111yescharacteristic
348#339C22×C1111yescharacteristic
349#339C22×C1111yescharacteristic
350#339C22×C1111yescharacteristic
351#336C22×C1111yescharacteristic
352#336C22×C1111yescharacteristic
353C22×C11—21no—
354C22×C11—21no—
355C22×C11—22no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11C2×C4×D411yescharacteristic
359C22×C11#55211yescharacteristic
360C22×C11#55411yescharacteristic
361C4×C11—22no—
362C4×C11—21no—
363C4×C11—21no—
364C4×C11—21no—
365C4×C11—21no—
366C4×C11—42no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11—41no—
370C4×C11—41no—
371C4×C11—41no—
372C4×C11—41no—
373C4×C11—81no—
374C4×C11C2×C4×Q811yescharacteristic
375C4×C11#52011yescharacteristic
376C4×C11#54611yescharacteristic
377C4×C11D4×Q811yescharacteristic
378C2×#41C23×C1111yescharacteristic
379#131—22no—
380#131—22no—
381#131—41no—
382#131—41no—
383C2×M16—21no—
384C2×M16—21no—
385C2×M16C23×C1111yescharacteristic
386C2×M16C23×C1111yescharacteristic
387C2×M16C23×C1111yescharacteristic
388C2×M16C23×C1111yescharacteristic
389C22×C8—21no—
390C22×C8—21no—
391C22×C8C23×C1111yescharacteristic
392C22×C8C23×C1111yescharacteristic
393C22×C8C23×C1111yescharacteristic
394C22×C8C23×C1111yescharacteristic
395C4⋊Q8C2×C4×C1111yescharacteristic
396C4⋊Q8C2×C4×C1111yescharacteristic
397#125C2×C4×C1111yescharacteristic
398#125C2×C4×C1111yescharacteristic
399C22⋊Q8—21no—
400C22⋊Q8—21no—
401C4×Q8—21no—
402C4×Q8—21no—
403C4×Q8C2×C4×C1111yescharacteristic
404C4×Q8C2×C4×C1111yescharacteristic
405C4×D4—21no—
406C4×D4—21no—
407C4×D4C2×C4×C1111yescharacteristic
408C4×D4C2×C4×C1111yescharacteristic
409#117—21no—
410#117C23×C1111yescharacteristic
411#117C23×C1111yescharacteristic
412#117C23×C1111yescharacteristic
413C2×C42—21no—
414C2×C42C23×C1111yescharacteristic
415C2×C42C23×C1111yescharacteristic
416C2×C42C23×C1111yescharacteristic
417#108—41no—
418#108—41no—
419#107C2×C4×C1111yescharacteristic
420#107C2×C4×C1111yescharacteristic
421#107C2×C4×C1111yescharacteristic
422#107C2×C4×C1111yescharacteristic
423#106C2×C4×C1111yescharacteristic
424#106C2×C4×C1111yescharacteristic
425#106C2×C4×C1111yescharacteristic
426#106C2×C4×C1111yescharacteristic
427C4⋊C8—21no—
428C4⋊C8—21no—
429C4⋊C8—21no—
430C4⋊C8—21no—
431C4⋊C8—21no—
432C4⋊C8—21no—
433C4⋊C8—21no—
434C4⋊C8—21no—
435C4⋊C8—21no—
436C4⋊C8—21no—
437C4⋊C8C2×C4×C1111yescharacteristic
438C4⋊C8C2×C4×C1111yescharacteristic
439C4⋊C8C2×C4×C1111yescharacteristic
440C4⋊C8C2×C4×C1111yescharacteristic
441C4⋊C8D4×C1111yescharacteristic
442C4⋊C8D4×C1111yescharacteristic
443C4⋊C8D4×C1111yescharacteristic
444C4⋊C8D4×C1111yescharacteristic
445#104—22no—
446#104Q8×C1114yescomplemented
447#103C2×C4×C1111yescharacteristic
448#103C2×C4×C1111yescharacteristic
449#103C2×C4×C1111yescharacteristic
450#103C2×C4×C1111yescharacteristic
451#102C2×C4×C1111yescharacteristic
452#102C2×C4×C1111yescharacteristic
453#102C2×C4×C1111yescharacteristic
454#102C2×C4×C1111yescharacteristic
455#97—21no—
456#97—21no—
457#97—21no—
458#97—41no—
459C4×C8—21no—
460C4×C8—21no—
461C4×C8—21no—
462C4×C8—41no—
463#95—21no—
464#95—21no—
465C2×C11—21no—
466C2×C11—21no—
467C2×C11—42no—
468C2×C11#236011yescharacteristic
469C2×C11#295511yescharacteristic
470C2×C11#295711yescharacteristic
471#41—21no—
472#41—21no—
473#41C2×Q8×C1112yes—
474#41C11×#4112yes—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8C22×C4×C1111yescharacteristic
478C2×D4—21no—
479C2×D4C22×C4×C1111yescharacteristic
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4C11×#4111yescharacteristic
486C22×C4C11×#4111yescharacteristic
487C22×C4C24×C1111yescharacteristic
488M16—21no—
489M16—21no—
490M16—21no—
491M16—21no—
492M16—21no—
493M16—21no—
494M16—21no—
495M16—42no—
496M16—42no—
497M16C2×Q8×C1112yes—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—42no—
511C2×C8—42no—
512C2×C8C22×C4×C1111yescharacteristic
513C2×C8C22×C4×C1111yescharacteristic
514C2×C8C22×C4×C1111yescharacteristic
515C2×C8C22×C4×C1111yescharacteristic
516C2×C8C2×D4×C1111yescharacteristic
517C2×C8C2×D4×C1111yescharacteristic
518C2×C8C2×D4×C1111yescharacteristic
519C2×C8C2×D4×C1111yescharacteristic
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4C22×C4×C1111yescharacteristic
529C4⋊C4C22×C4×C1111yescharacteristic
530C4⋊C4C22×C4×C1111yescharacteristic
531C4⋊C4C22×C4×C1111yescharacteristic
532C4⋊C4C22×C4×C1111yescharacteristic
533C4⋊C4C22×C4×C1111yescharacteristic
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42C22×C4×C1111yescharacteristic
548C42C22×C4×C1111yescharacteristic
549C42C2×D4×C1111yescharacteristic
550C42C2×D4×C1111yescharacteristic
551C42C2×Q8×C1112yes—
552C11#2298411yescharacteristic, direct product factor, Sylow
553C23—21no—
554C23C2×C11×#4111yescharacteristic
555Q8—21no—
556Q8—42no—
557Q8—81no—
558Q8C4×Q8×C1112yes—
559D4—22no—
560D4—22no—
561D4—21no—
562D4C4×Q8×C1112yes—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—42no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—81no—
582C2×C4C4×D4×C1111yescharacteristic
583C2×C4C4×D4×C1111yescharacteristic
584C2×C4C4×D4×C1111yescharacteristic
585C2×C4C4×D4×C1111yescharacteristic
586C2×C4C23×C4×C1111yescharacteristic
587C2×C4C22×D4×C1111yescharacteristic
588C2×C4C22×Q8×C1111yescharacteristic
589C2×C4C2×C11×#4111yescharacteristic
590C2×C4C11×H(5,𝔽2)11yescharacteristic
591C2×C4C11×2−1+411yescharacteristic
592C8—21no—
593C8—21no—
594C8—21no—
595C8—21no—
596C8—21no—
597C8—21no—
598C8—21no—
599C8—21no—
600C8—22no—
601C8—41no—
602C8—41no—
603C8—41no—
604C22—21no—
605C22—21no—
606C22—22no—
607C22—41no—
608C22—41no—
609C22C2×C4×D4×C1111yescharacteristic
610C22C11×#55211yescharacteristic
611C22C11×#55411yescharacteristic
612C4—21no—
613C4—21no—
614C4—21no—
615C4—21no—
616C4—22no—
617C4—42no—
618C4—41no—
619C4—41no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—81no—
625C4C2×C4×Q8×C1111yescharacteristic
626C4C11×#52011yescharacteristic
627C4C11×#54611yescharacteristic
628C4D4×Q8×C1111yescharacteristic
629C2—21no—
630C2—21no—
631C2—42no—
632C2C11×#236011yescharacteristic
633C2C11×#295511yescharacteristic
634C2C11×#295711yescharacteristic
subgroupG/H
centerC2×C4×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
socleC22×C11C2×C4×D4
prime radicalC2×C11×#41C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C2×C11×C4⋊C8 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2962C2semidirect
4. C11×#1995C2semidirect
5. C11×#1950C2semidirect
6. C11×#1946C2semidirect
7. C11×#1945C2semidirect
8. C11×#1922C2semidirect
9. C11×#1922C2semidirect
12. C11×#1768C2semidirect
20. C11×#479C4semidirect
21. C11×#479C4semidirect
22. C11×#478C4semidirect
23. C11×#478C4semidirect
24. C11×#477C4semidirect
25. C11×#476C4semidirect
26. C11×#475C4semidirect
27. C11×#474C4semidirect
135. C11×#104Q8semidirect
154. #22984C11direct (N × H)
237. #2962C2×C11semidirect
239. #1995C2×C11semidirect
240. #1950C2×C11semidirect
241. #1946C2×C11semidirect
242. #1945C2×C11semidirect
243. #1922C2×C11semidirect
244. #1922C2×C11semidirect
247. #1768C2×C11semidirect
306. #479C4×C11semidirect
307. #479C4×C11semidirect
308. #478C4×C11semidirect
309. #478C4×C11semidirect
310. #477C4×C11semidirect
311. #476C4×C11semidirect
312. #475C4×C11semidirect
313. #474C4×C11semidirect
446. #104Q8×C11semidirect
552. C11#22984direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#30762
C11×#29622
C11×#29062
C11×#19952
C11×#19502
C11×#19462
C11×#19452
C11×#19222
C11×#18662
C11×#17682
C11×#17652
C11×#17642
C11×#17592
#2298411