Finite Group Databasebeta

← C11×#22677 #14599870

Subgroups — C11×#22677 #14599870

Order 2816.

1010 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#440C211yesmaximal, characteristic
2C2×C11×#440C211yesmaximal, characteristic
3C2×C4×C11×SD16C211yesmaximal, characteristic
4C11×#2351C211yesmaximal, characteristic, complemented
5D4×C11×C4⋊C4C211yesmaximal, characteristic
6C11×#1943C211yesmaximal, characteristic, complemented
7C11×#1942C211yesmaximal, characteristic, complemented
8C11×#1865C211yesmaximal, characteristic, complemented
9C11×#1864C211yesmaximal, characteristic
10C11×#1863C211yesmaximal, characteristic, complemented
11C11×#1862C211yesmaximal, characteristic
12C11×#1847C211yesmaximal, characteristic, complemented
13C11×#1804C211yesmaximal, characteristic
14C11×#1803C211yesmaximal, characteristic, complemented
15C11×#1771C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C2×C4×D4×C11C2211yescharacteristic
23C22×C11×C4⋊C4—21no—
24C11×#440—24no—
25C11×#440C418yescomplemented
26C4×C11×SD16—24no—
27C2×C11×#107C2211yescharacteristic
28C2×C11×#107C2211yescharacteristic
29C2×C11×#107C2211yescharacteristic
30C2×C11×#106C2211yescharacteristic
31C2×C11×#106C2211yescharacteristic
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#102C2211yescharacteristic
39C2×C11×#97C2211yescharacteristic
40C2×C11×#97C2211yescharacteristic
41C2×C4×C8×C11C2211yescharacteristic
42C11×#389—21no—
43C11×#389—21no—
44C11×#389C2211yescharacteristic
45C11×#389C2211yescharacteristic
46C11×#389C2211yescharacteristic
47C11×#389C2211yescharacteristic
48C11×#385—21no—
49C11×#385—21no—
50C11×#384C2211yescharacteristic
51C11×#382—21no—
52C11×#382C2211yescharacteristic
53C11×#380—21no—
54C4×C11×C4⋊C4—21no—
55C4×C11×C4⋊C4C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C2×C11×SD16C2×C414yes—
68C2×C11×SD16D414yes—
69C2×C11×SD16Q814yes—
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C4×Q8×C11—22no—
75C4×Q8×C11—22no—
76C4×Q8×C11—22no—
77C4×Q8×C11—41no—
78C4×Q8×C11—41no—
79C4×Q8×C11C2×C414yescomplemented
80C4×D4×C11—22no—
81C4×D4×C11—22no—
82C4×D4×C11—22no—
83C4×D4×C11—41no—
84C4×D4×C11—41no—
85C4×D4×C11C2×C414yes—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—44no—
96C2×C11×C4⋊C4D411yescharacteristic
97C2×C11×C4⋊C4D411yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2311yescharacteristic
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C42×C11—21no—
108C2×C42×C11—21no—
109C2×C42×C11—21no—
110C2×C42×C11C2311yescharacteristic
111C2×C42×C11C2311yescharacteristic
112C2×C42×C11C2311yescharacteristic
113C11×#107—22no—
114C11×#107—41no—
115C11×#107C2×C414yescomplemented
116C11×#106—22no—
117C11×#106—41no—
118C11×C4⋊C8—22no—
119C11×#103—22no—
120C11×#103—22no—
121C11×#103C2×C414yescomplemented
122C11×#102—22no—
123C11×#102—22no—
124C11×#102C2×C414yes—
125C11×#97—22no—
126C11×#97C2×C414yescomplemented
127C4×C8×C11—22no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133C11×#95—21no—
134C11×#95D411yescharacteristic
135C11×#95D411yescharacteristic
136#22677C1111yesmaximal, characteristic, direct product factor, Sylow
137C24×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11C22×C412yes—
142C2×Q8×C11C2×D412yes—
143C2×Q8×C11C2×Q812yes—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11C22×C412yes—
148C2×D4×C11C2×D412yes—
149C2×D4×C11C2×Q812yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—24no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—42no—
159C22×C4×C11—42no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11—42no—
164C22×C4×C11—81no—
165C22×C4×C11—81no—
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2411yescharacteristic
173C11×SD16C4⋊C4116yescomplemented
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11C22×C412yes—
183C2×C8×C11C22×C412yes—
184C2×C8×C11C2×D412yes—
185C2×C8×C11C2×Q812yes—
186C11×C4⋊C4—24no—
187C11×C4⋊C4—22no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—41no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4—42no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4—42no—
206C11×C4⋊C4—81no—
207C11×C4⋊C4C22×C412yes—
208C11×C4⋊C4C22×C412yes—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—42no—
212C42×C11—24no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—21no—
216C42×C11—21no—
217C42×C11—42no—
218C42×C11—42no—
219C42×C11C22×C412yes—
220C42×C11#4112yes—
221C2×#440C2×C1111yescharacteristic
222C2×#440C2×C1111yescharacteristic
223C2×C4×SD16C2×C1111yescharacteristic
224#2351C2×C1111yescharacteristic, complemented
225D4×C4⋊C4C2×C1111yescharacteristic
226#1943C2×C1111yescharacteristic, complemented
227#1942C2×C1111yescharacteristic, complemented
228#1865C2×C1111yescharacteristic, complemented
229#1864C2×C1111yescharacteristic
230#1863C2×C1111yescharacteristic, complemented
231#1862C2×C1111yescharacteristic
232#1847C2×C1111yescharacteristic, complemented
233#1804C2×C1111yescharacteristic
234#1803C2×C1111yescharacteristic, complemented
235#1771C2×C1111yescharacteristic, complemented
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—41no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11C22×D411yescharacteristic
244Q8×C11—22no—
245Q8×C11—22no—
246Q8×C11—22no—
247Q8×C11C2×C4⋊C414yescomplemented
248D4×C11—22no—
249D4×C11—22no—
250D4×C11—22no—
251D4×C11C2×C4⋊C414yes—
252C2×C4×C11—22no—
253C2×C4×C11—21no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—21no—
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—21no—
271C2×C4×C11—21no—
272C2×C4×C11—48no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—84no—
290C2×C4×C11—84no—
291C2×C4×C11C4×D412yes—
292C2×C4×C11C4×D412yes—
293C2×C4×C11AGL(1,ℤ/8)12yes—
294C2×C4×C11C23×C411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×Q811yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C112−1+411yescharacteristic
300C8×C11—22no—
301C8×C11—41no—
302C8×C11—41no—
303C8×C11C2×C4⋊C414yescomplemented
304C22×SD16C22×C1111yescharacteristic
305C2×C4×Q8C22×C1111yescharacteristic
306C2×C4×Q8C22×C1111yescharacteristic
307C2×C4×Q8C22×C1111yescharacteristic
308C2×C4×D4C22×C1111yescharacteristic
309C2×C4×D4C22×C1111yescharacteristic
310C2×C4×D4C22×C1111yescharacteristic
311C22×C4⋊C4—21no—
312#440—24no—
313#440C4×C1118yescomplemented
314C4×SD16—24no—
315C2×#107C22×C1111yescharacteristic
316C2×#107C22×C1111yescharacteristic
317C2×#107C22×C1111yescharacteristic
318C2×#106C22×C1111yescharacteristic
319C2×#106C22×C1111yescharacteristic
320C2×C4⋊C8C22×C1111yescharacteristic
321C2×#103C22×C1111yescharacteristic
322C2×#103C22×C1111yescharacteristic
323C2×#103C22×C1111yescharacteristic
324C2×#102C22×C1111yescharacteristic
325C2×#102C22×C1111yescharacteristic
326C2×#102C22×C1111yescharacteristic
327C2×#97C22×C1111yescharacteristic
328C2×#97C22×C1111yescharacteristic
329C2×C4×C8C22×C1111yescharacteristic
330#389—21no—
331#389—21no—
332#389C22×C1111yescharacteristic
333#389C22×C1111yescharacteristic
334#389C22×C1111yescharacteristic
335#389C22×C1111yescharacteristic
336#385—21no—
337#385—21no—
338#384C22×C1111yescharacteristic
339#382—21no—
340#382C22×C1111yescharacteristic
341#380—21no—
342C4×C4⋊C4—21no—
343C4×C4⋊C4C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345#340C22×C1111yescharacteristic
346#340C22×C1111yescharacteristic
347#340C22×C1111yescharacteristic
348#336C22×C1111yescharacteristic
349#336C22×C1111yescharacteristic
350C22×C11—24no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11C2×C4×D411yescharacteristic
358C22×C11D4211yescharacteristic
359C22×C11D4×Q811yescharacteristic
360C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
361C22×C11#57511yescharacteristic
362C22×C11#57711yescharacteristic
363C22×C11#57811yescharacteristic
364C4×C11—24no—
365C4×C11—22no—
366C4×C11—22no—
367C4×C11—22no—
368C4×C11—42no—
369C4×C11—42no—
370C4×C11—41no—
371C4×C11—41no—
372C4×C11—41no—
373C4×C11—81no—
374C4×C11—81no—
375C4×C11—81no—
376C4×C11—81no—
377C4×C11C22×C4⋊C411yescharacteristic
378C4×C11#52011yescharacteristic
379C4×C11#54711yescharacteristic
380C4×C11#55411yescharacteristic
381C22×Q8C23×C1111yescharacteristic
382C22×D4C23×C1111yescharacteristic
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—21no—
386C2×SD16C2×C4×C1114yes—
387C2×SD16D4×C1114yes—
388C2×SD16Q8×C1114yes—
389C22×C8C23×C1111yescharacteristic
390C22×C8C23×C1111yescharacteristic
391C22×C8C23×C1111yescharacteristic
392C22×C8C23×C1111yescharacteristic
393C4×Q8—22no—
394C4×Q8—22no—
395C4×Q8—22no—
396C4×Q8—41no—
397C4×Q8—41no—
398C4×Q8C2×C4×C1114yescomplemented
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—22no—
402C4×D4—41no—
403C4×D4—41no—
404C4×D4C2×C4×C1114yes—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—44no—
415C2×C4⋊C4D4×C1111yescharacteristic
416C2×C4⋊C4D4×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—21no—
429C2×C42C23×C1111yescharacteristic
430C2×C42C23×C1111yescharacteristic
431C2×C42C23×C1111yescharacteristic
432#107—22no—
433#107—41no—
434#107C2×C4×C1114yescomplemented
435#106—22no—
436#106—41no—
437C4⋊C8—22no—
438#103—22no—
439#103—22no—
440#103C2×C4×C1114yescomplemented
441#102—22no—
442#102—22no—
443#102C2×C4×C1114yes—
444#97—22no—
445#97C2×C4×C1114yescomplemented
446C4×C8—22no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95D4×C1111yescharacteristic
454#95D4×C1111yescharacteristic
455C2×C11—44no—
456C2×C11D4×C4⋊C411yescharacteristic
457C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
458C2×C11#294711yescharacteristic
459C2×C11#326511yescharacteristic
460C2×C11#326911yescharacteristic
461C2×C11#338611yescharacteristic
462C2×C11#338811yescharacteristic
463C24—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8C22×C4×C1112yes—
468C2×Q8C2×D4×C1112yes—
469C2×Q8C2×Q8×C1112yes—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4C22×C4×C1112yes—
474C2×D4C2×D4×C1112yes—
475C2×D4C2×Q8×C1112yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—24no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4C2×D4×C1111yescharacteristic
493C22×C4C2×D4×C1111yescharacteristic
494C22×C4C2×D4×C1111yescharacteristic
495C22×C4C2×D4×C1111yescharacteristic
496C22×C4C2×D4×C1111yescharacteristic
497C22×C4C2×D4×C1111yescharacteristic
498C22×C4C24×C1111yescharacteristic
499SD16C11×C4⋊C4116yescomplemented
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×C8C22×C4×C1112yes—
509C2×C8C22×C4×C1112yes—
510C2×C8C2×D4×C1112yes—
511C2×C8C2×Q8×C1112yes—
512C4⋊C4—24no—
513C4⋊C4—22no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—41no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C4⋊C4C22×C4×C1112yes—
534C4⋊C4C22×C4×C1112yes—
535C22⋊C4—24no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C42—24no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—42no—
544C42—42no—
545C42C22×C4×C1112yes—
546C42C11×#4112yes—
547C11#2267711yescharacteristic, direct product factor, Sylow
548C23—22no—
549C23—22no—
550C23—22no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C22×D4×C1111yescharacteristic
556Q8—22no—
557Q8—22no—
558Q8—22no—
559Q8C2×C11×C4⋊C414yescomplemented
560D4—22no—
561D4—22no—
562D4—22no—
563D4C2×C11×C4⋊C414yes—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—48no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—84no—
602C2×C4—84no—
603C2×C4C4×D4×C1112yes—
604C2×C4C4×D4×C1112yes—
605C2×C4C11×AGL(1,ℤ/8)12yes—
606C2×C4C23×C4×C1111yescharacteristic
607C2×C4C22×D4×C1111yescharacteristic
608C2×C4C22×Q8×C1111yescharacteristic
609C2×C4C2×C11×#4111yescharacteristic
610C2×C4C11×H(5,𝔽2)11yescharacteristic
611C2×C4C11×2−1+411yescharacteristic
612C8—22no—
613C8—41no—
614C8—41no—
615C8C2×C11×C4⋊C414yescomplemented
616C22—24no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22C2×C4×D4×C1111yescharacteristic
624C22D42×C1111yescharacteristic
625C22D4×Q8×C1111yescharacteristic
626C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
627C22C11×#57511yescharacteristic
628C22C11×#57711yescharacteristic
629C22C11×#57811yescharacteristic
630C4—22no—
631C4—22no—
632C4—22no—
633C4—24no—
634C4—42no—
635C4—42no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4C22×C11×C4⋊C411yescharacteristic
644C4C11×#52011yescharacteristic
645C4C11×#54711yescharacteristic
646C4C11×#55411yescharacteristic
647C2—44no—
648C2D4×C11×C4⋊C411yescharacteristic
649C2C4×C11×AGL(1,ℤ/8)11yescharacteristic
650C2C11×#294711yescharacteristic
651C2C11×#326511yescharacteristic
652C2C11×#326911yescharacteristic
653C2C11×#338611yescharacteristic
654C2C11×#338811yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
4. C11×#2351C2semidirect
6. C11×#1943C2semidirect
7. C11×#1942C2semidirect
8. C11×#1865C2semidirect
10. C11×#1863C2semidirect
12. C11×#1847C2semidirect
14. C11×#1803C2semidirect
15. C11×#1771C2semidirect
25. C11×#440C4semidirect
79. C4×Q8×C11C2×C4semidirect
115. C11×#107C2×C4semidirect
121. C11×#103C2×C4semidirect
126. C11×#97C2×C4semidirect
136. #22677C11direct (N × H)
173. C11×SD16C4⋊C4semidirect
224. #2351C2×C11semidirect
226. #1943C2×C11semidirect
227. #1942C2×C11semidirect
228. #1865C2×C11semidirect
230. #1863C2×C11semidirect
232. #1847C2×C11semidirect
234. #1803C2×C11semidirect
235. #1771C2×C11semidirect
247. Q8×C11C2×C4⋊C4semidirect
303. C8×C11C2×C4⋊C4semidirect
313. #440C4×C11semidirect
398. C4×Q8C2×C4×C11semidirect
434. #107C2×C4×C11semidirect
440. #103C2×C4×C11semidirect
445. #97C2×C4×C11semidirect
499. SD16C11×C4⋊C4semidirect
547. C11#22677direct (N × H)
559. Q8C2×C11×C4⋊C4semidirect
615. C8C2×C11×C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×C11×#4402
C2×C4×C11×SD162
C11×#23512
D4×C11×C4⋊C42
C11×#19432
C11×#19422
C11×#18652
C11×#18642
C11×#18632
C11×#18622
C11×#18472
C11×#18042
C11×#18032
C11×#17712
#2267711