Finite Group Databasebeta

← C11×#23038 #14600231

Subgroups — C11×#23038 #14600231

Order 2816.

942 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#470C211yesmaximal, characteristic
2C2×C11×#441C211yesmaximal, characteristic, complemented
3C2×C11×#428C211yesmaximal, characteristic
4C11×#2362C211yesmaximal, characteristic
5C11×#2360C211yesmaximal, characteristic
6C11×#1969C211yesmaximal, characteristic, complemented
7C11×#1944C211yesmaximal, characteristic, complemented
8C11×#1928C211yesmaximal, characteristic, complemented
9C11×#1927C211yesmaximal, characteristic, complemented
10C11×#1873C211yesmaximal, characteristic
11C11×#1872C211yesmaximal, characteristic
12C11×#1865C211yesmaximal, characteristic, complemented
13C11×#1863C211yesmaximal, characteristic, complemented
14C4×C11×#106C211yesmaximal, characteristic, complemented
15C11×#1753C211yesmaximal, characteristic
16C22×C11×Q16C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C11×#117C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C11×#470C418yescomplemented
25C11×#441—24no—
26C11×#428—24no—
27C2×C11×#107C2211yescharacteristic
28C2×C11×#107C2211yescharacteristic
29C2×C11×#106C2211yescharacteristic
30C2×C11×#106C2211yescharacteristic
31C2×C11×#106C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#103C2211yescharacteristic
37C2×C11×#103C2211yescharacteristic
38C2×C11×C22⋊C8C2211yescharacteristic
39C2×C11×#97C2211yescharacteristic
40C2×C4×C8×C11C2211yescharacteristic
41C11×#391C2211yescharacteristic
42C11×#391C2211yescharacteristic
43C11×#389—21no—
44C11×#389C2211yescharacteristic
45C11×#389C2211yescharacteristic
46C11×#388—21no—
47C11×#388—21no—
48C11×#387—21no—
49C11×#387—21no—
50C11×#385—21no—
51C4×C11×C4⋊C4—21no—
52C4×C11×C4⋊C4C2211yescharacteristic
53C4×C11×C4⋊C4C2211yescharacteristic
54C4×C11×C22⋊C4—21no—
55C4×C11×C22⋊C4C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11C2311yescharacteristic
66C2×C11×Q16—22no—
67C2×C11×Q16—22no—
68C2×C11×Q16C2×C414yescomplemented
69C2×C11×M16—22no—
70C2×C11×M16—22no—
71C2×C11×M16C2×C414yes—
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C11×C22⋊Q8—22no—
77C11×C22⋊Q8—22no—
78C11×C22⋊Q8C2×C414yes—
79C11×C22⋊Q8C2×C414yes—
80C4×Q8×C11—22no—
81C4×Q8×C11—22no—
82C4×Q8×C11—41no—
83C4×Q8×C11—41no—
84C11×#117—22no—
85C11×#117—41no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—22no—
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—41no—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4D411yescharacteristic
105C2×C11×C22⋊C4D411yescharacteristic
106C2×C42×C11—21no—
107C2×C42×C11—21no—
108C2×C42×C11—21no—
109C2×C42×C11—21no—
110C2×C42×C11—21no—
111C2×C42×C11C2311yescharacteristic
112C2×C42×C11C2311yescharacteristic
113C11×#107—22no—
114C11×#107—22no—
115C11×#106—22no—
116C11×#106C2×C414yescomplemented
117C11×#106D414yes—
118C11×#103—22no—
119C11×#103—22no—
120C11×#103—41no—
121C11×#103—41no—
122C11×#103C2×C414yescomplemented
123C11×#103C2×C414yescomplemented
124C11×C22⋊C8—22no—
125C11×#97—22no—
126C4×C8×C11—22no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133C11×#95—21no—
134C11×#95—21no—
135C11×#95D411yescharacteristic
136C11×#95D411yescharacteristic
137#23038C1111yesmaximal, characteristic, direct product factor, Sylow
138C24×C11C2×D411yescharacteristic
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22×C412yes—
150C2×Q8×C11C22×C412yes—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
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—42no—
164C22×C4×C11—42no—
165C22×C4×C11—81no—
166C22×C4×C11C22×C412yes—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11#4112yes—
173C22×C4×C11C2411yescharacteristic
174C11×Q16—28no—
175C11×M16—28no—
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×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11C22×C412yes—
185C2×C8×C11C22×C412yes—
186C2×C8×C11C2×D412yes—
187C2×C8×C11#4112yes—
188C11×C4⋊C4—24no—
189C11×C4⋊C4—24no—
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—42no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—81no—
203C11×C4⋊C4C22×C412yes—
204C11×C4⋊C4C22×C412yes—
205C11×C4⋊C4C2×D412yes—
206C11×C4⋊C4C2×D412yes—
207C11×C22⋊C4—24no—
208C11×C22⋊C4—24no—
209C11×C22⋊C4—22no—
210C11×C22⋊C4—41no—
211C11×C22⋊C4—42no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—21no—
216C42×C11—42no—
217C42×C11—42no—
218C42×C11—42no—
219C42×C11—42no—
220C42×C11—81no—
221C2×#470C2×C1111yescharacteristic
222C2×#441C2×C1111yescharacteristic, complemented
223C2×#428C2×C1111yescharacteristic
224#2362C2×C1111yescharacteristic
225#2360C2×C1111yescharacteristic
226#1969C2×C1111yescharacteristic, complemented
227#1944C2×C1111yescharacteristic, complemented
228#1928C2×C1111yescharacteristic, complemented
229#1927C2×C1111yescharacteristic, complemented
230#1873C2×C1111yescharacteristic
231#1872C2×C1111yescharacteristic
232#1865C2×C1111yescharacteristic, complemented
233#1863C2×C1111yescharacteristic, complemented
234C4×#106C2×C1111yescharacteristic, complemented
235#1753C2×C1111yescharacteristic
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11C4×D412yes—
243C23×C11C22×D411yescharacteristic
244Q8×C11—22no—
245Q8×C11—22no—
246Q8×C11—22no—
247Q8×C11—22no—
248Q8×C11—41no—
249Q8×C11—41no—
250Q8×C11—41no—
251Q8×C11—41no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
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—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—84no—
294C2×C4×C11C4×D412yes—
295C2×C4×C11#13712yes—
296C2×C4×C11C23×C411yescharacteristic
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×C4×C112−1+411yescharacteristic
302C8×C11—22no—
303C8×C11—41no—
304C8×C11—41no—
305C8×C11C4×D414yes—
306C22×Q16C22×C1111yescharacteristic
307C22×M16C22×C1111yescharacteristic
308C2×C22⋊Q8C22×C1111yescharacteristic
309C2×C22⋊Q8C22×C1111yescharacteristic
310C2×C4×Q8C22×C1111yescharacteristic
311C2×C4×Q8C22×C1111yescharacteristic
312C2×#117C22×C1111yescharacteristic
313C22×C4⋊C4C22×C1111yescharacteristic
314#470C4×C1118yescomplemented
315#441—24no—
316#428—24no—
317C2×#107C22×C1111yescharacteristic
318C2×#107C22×C1111yescharacteristic
319C2×#106C22×C1111yescharacteristic
320C2×#106C22×C1111yescharacteristic
321C2×#106C22×C1111yescharacteristic
322C2×#103C22×C1111yescharacteristic
323C2×#103C22×C1111yescharacteristic
324C2×#103C22×C1111yescharacteristic
325C2×#103C22×C1111yescharacteristic
326C2×#103C22×C1111yescharacteristic
327C2×#103C22×C1111yescharacteristic
328C2×C22⋊C8C22×C1111yescharacteristic
329C2×#97C22×C1111yescharacteristic
330C2×C4×C8C22×C1111yescharacteristic
331#391C22×C1111yescharacteristic
332#391C22×C1111yescharacteristic
333#389—21no—
334#389C22×C1111yescharacteristic
335#389C22×C1111yescharacteristic
336#388—21no—
337#388—21no—
338#387—21no—
339#387—21no—
340#385—21no—
341C4×C4⋊C4—21no—
342C4×C4⋊C4C22×C1111yescharacteristic
343C4×C4⋊C4C22×C1111yescharacteristic
344C4×C22⋊C4—21no—
345C4×C22⋊C4C22×C1111yescharacteristic
346#340C22×C1111yescharacteristic
347#340C22×C1111yescharacteristic
348#340C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#336C22×C1111yescharacteristic
351#336C22×C1111yescharacteristic
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—41no—
359C22×C11C2×C4×D411yescharacteristic
360C22×C11D4211yescharacteristic
361C22×C11#54711yescharacteristic
362C22×C11C2×#13711yescharacteristic
363C22×C11#57511yescharacteristic
364C22×C11#57711yescharacteristic
365C22×C11#57811yescharacteristic
366C4×C11—22no—
367C4×C11—22no—
368C4×C11—41no—
369C4×C11—42no—
370C4×C11—42no—
371C4×C11—42no—
372C4×C11—42no—
373C4×C11—41no—
374C4×C11—42no—
375C4×C11—41no—
376C4×C11—42no—
377C4×C11—81no—
378C4×C11—81no—
379C4×C11C2×C4×D411yescharacteristic
380C4×C11#52011yescharacteristic
381C4×C11#54811yescharacteristic
382C4×C11#55311yescharacteristic
383C22×Q8C23×C1111yescharacteristic
384C22×Q8C23×C1111yescharacteristic
385C23×C4—21no—
386C23×C4C23×C1111yescharacteristic
387C2×Q16—22no—
388C2×Q16—22no—
389C2×Q16C2×C4×C1114yescomplemented
390C2×M16—22no—
391C2×M16—22no—
392C2×M16C2×C4×C1114yes—
393C22×C8C23×C1111yescharacteristic
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397C22⋊Q8—22no—
398C22⋊Q8—22no—
399C22⋊Q8C2×C4×C1114yes—
400C22⋊Q8C2×C4×C1114yes—
401C4×Q8—22no—
402C4×Q8—22no—
403C4×Q8—41no—
404C4×Q8—41no—
405#117—22no—
406#117—41no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—41no—
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4D4×C1111yescharacteristic
426C2×C22⋊C4D4×C1111yescharacteristic
427C2×C42—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C1111yescharacteristic
433C2×C42C23×C1111yescharacteristic
434#107—22no—
435#107—22no—
436#106—22no—
437#106C2×C4×C1114yescomplemented
438#106D4×C1114yes—
439#103—22no—
440#103—22no—
441#103—41no—
442#103—41no—
443#103C2×C4×C1114yescomplemented
444#103C2×C4×C1114yescomplemented
445C22⋊C8—22no—
446#97—22no—
447C4×C8—22no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95D4×C1111yescharacteristic
457#95D4×C1111yescharacteristic
458C2×C11—42no—
459C2×C11#236111yescharacteristic
460C2×C11C4×#13711yescharacteristic
461C2×C11#294711yescharacteristic
462C2×C11#327511yescharacteristic
463C2×C11#327611yescharacteristic
464C2×C11#334411yescharacteristic
465C2×C11#334911yescharacteristic
466C24C2×D4×C1111yescharacteristic
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8C22×C4×C1112yes—
478C2×Q8C22×C4×C1112yes—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4C22×C4×C1112yes—
495C22×C4C2×D4×C1111yescharacteristic
496C22×C4C2×D4×C1111yescharacteristic
497C22×C4C2×D4×C1111yescharacteristic
498C22×C4C2×D4×C1111yescharacteristic
499C22×C4C2×D4×C1111yescharacteristic
500C22×C4C11×#4112yes—
501C22×C4C24×C1111yescharacteristic
502Q16—28no—
503M16—28no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8C22×C4×C1112yes—
513C2×C8C22×C4×C1112yes—
514C2×C8C2×D4×C1112yes—
515C2×C8C11×#4112yes—
516C4⋊C4—24no—
517C4⋊C4—24no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—81no—
531C4⋊C4C22×C4×C1112yes—
532C4⋊C4C22×C4×C1112yes—
533C4⋊C4C2×D4×C1112yes—
534C4⋊C4C2×D4×C1112yes—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—41no—
539C22⋊C4—42no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—42no—
545C42—42no—
546C42—42no—
547C42—42no—
548C42—81no—
549C11#2303811yescharacteristic, direct product factor, Sylow
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23C4×D4×C1112yes—
557C23C22×D4×C1111yescharacteristic
558Q8—22no—
559Q8—22no—
560Q8—22no—
561Q8—22no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
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—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—84no—
608C2×C4C4×D4×C1112yes—
609C2×C4C11×#13712yes—
610C2×C4C23×C4×C1111yescharacteristic
611C2×C4C22×D4×C1111yescharacteristic
612C2×C4C2×C11×#4111yescharacteristic
613C2×C4C2×C11×#4111yescharacteristic
614C2×C4C11×H(5,𝔽2)11yescharacteristic
615C2×C4C11×2−1+411yescharacteristic
616C8—22no—
617C8—41no—
618C8—41no—
619C8C4×D4×C1114yes—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22C2×C4×D4×C1111yescharacteristic
628C22D42×C1111yescharacteristic
629C22C11×#54711yescharacteristic
630C22C2×C11×#13711yescharacteristic
631C22C11×#57511yescharacteristic
632C22C11×#57711yescharacteristic
633C22C11×#57811yescharacteristic
634C4—22no—
635C4—22no—
636C4—42no—
637C4—42no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—42no—
642C4—41no—
643C4—42no—
644C4—42no—
645C4—81no—
646C4—81no—
647C4C2×C4×D4×C1111yescharacteristic
648C4C11×#52011yescharacteristic
649C4C11×#54811yescharacteristic
650C4C11×#55311yescharacteristic
651C2—42no—
652C2C11×#236111yescharacteristic
653C2C4×C11×#13711yescharacteristic
654C2C11×#294711yescharacteristic
655C2C11×#327511yescharacteristic
656C2C11×#327611yescharacteristic
657C2C11×#334411yescharacteristic
658C2C11×#334911yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC24×C11C2×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#441C2semidirect
6. C11×#1969C2semidirect
7. C11×#1944C2semidirect
8. C11×#1928C2semidirect
9. C11×#1927C2semidirect
12. C11×#1865C2semidirect
13. C11×#1863C2semidirect
14. C4×C11×#106C2semidirect
24. C11×#470C4semidirect
68. C2×C11×Q16C2×C4semidirect
116. C11×#106C2×C4semidirect
122. C11×#103C2×C4semidirect
123. C11×#103C2×C4semidirect
137. #23038C11direct (N × H)
222. C2×#441C2×C11semidirect
226. #1969C2×C11semidirect
227. #1944C2×C11semidirect
228. #1928C2×C11semidirect
229. #1927C2×C11semidirect
232. #1865C2×C11semidirect
233. #1863C2×C11semidirect
234. C4×#106C2×C11semidirect
314. #470C4×C11semidirect
389. C2×Q16C2×C4×C11semidirect
437. #106C2×C4×C11semidirect
443. #103C2×C4×C11semidirect
444. #103C2×C4×C11semidirect
549. C11#23038direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4702
C2×C11×#4412
C2×C11×#4282
C11×#23622
C11×#23602
C11×#19692
C11×#19442
C11×#19282
C11×#19272
C11×#18732
C11×#18722
C11×#18652
C11×#18632
C4×C11×#1062
C11×#17532
#2303811