Finite Group Databasebeta

← C11×#21511 #14598704

Subgroups — C11×#21511 #14598704

Order 2816.

980 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#464C211yesmaximal, characteristic
2C2×C11×#441C211yesmaximal, characteristic, complemented
3C2×C4×C11×SD16C211yesmaximal, characteristic
4C11×#2326C211yesmaximal, characteristic
5C11×#2276C211yesmaximal, characteristic, complemented
6C11×#1983C211yesmaximal, characteristic
7C11×#1948C211yesmaximal, characteristic, complemented
8C11×#1927C211yesmaximal, characteristic, complemented
9C11×#1926C211yesmaximal, characteristic
10C11×#1880C211yesmaximal, characteristic
11C11×#1878C211yesmaximal, characteristic, complemented
12C11×#1803C211yesmaximal, characteristic, complemented
13C11×#1768C211yesmaximal, characteristic, complemented
14C11×#1762C211yesmaximal, characteristic
15C4×C11×#103C211yesmaximal, characteristic, complemented
16C22×C11×Q16C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C11×#124C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×D4×C11C2211yescharacteristic
24C11×#464C418yescomplemented
25C11×#441—24no—
26C4×C11×SD16—24no—
27C2×C11×#106C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#102C2211yescharacteristic
39C2×C11×#97C2211yescharacteristic
40C2×C4×C8×C11C2211yescharacteristic
41C11×#391C2211yescharacteristic
42C11×#390C2211yescharacteristic
43C11×#388—21no—
44C11×#388—21no—
45C11×#385—21no—
46C11×#385—21no—
47C11×#384C2211yescharacteristic
48C4×C11×C4⋊C4—21no—
49C4×C11×C4⋊C4—21no—
50C4×C11×C4⋊C4—21no—
51C4×C11×C4⋊C4C2211yescharacteristic
52C4×C11×C4⋊C4C2211yescharacteristic
53C4×C11×C4⋊C4C2211yescharacteristic
54C11×#376—21no—
55C11×#376C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C2×C11×Q16—22no—
67C2×C11×Q16—22no—
68C2×C11×Q16C2×C414yescomplemented
69C2×C11×SD16—22no—
70C2×C11×SD16—22no—
71C2×C11×SD16C2×C414yes—
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C11×#124—22no—
77C11×#124C2×C414yes—
78C4×Q8×C11—22no—
79C4×Q8×C11—22no—
80C4×Q8×C11—22no—
81C4×Q8×C11—22no—
82C4×Q8×C11—22no—
83C4×Q8×C11—22no—
84C4×Q8×C11C2×C414yescomplemented
85C4×Q8×C11D414yes—
86C4×D4×C11—22no—
87C4×D4×C11—22no—
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⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C42×C11—21no—
105C2×C42×C11—21no—
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
113C2×C42×C11C2311yescharacteristic
114C11×#106—22no—
115C11×#106—22no—
116C11×C4⋊C8—22no—
117C11×C4⋊C8C2×C414yescomplemented
118C11×#103—22no—
119C11×#103—22no—
120C11×#103—22no—
121C11×#103—22no—
122C11×#103C2×C414yescomplemented
123C11×#102—22no—
124C11×#102—22no—
125C11×#102C2×C414yes—
126C11×#97—22no—
127C4×C8×C11—22no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133C11×#95D411yescharacteristic
134C11×#95D411yescharacteristic
135C11×#95D411yescharacteristic
136C11×#95D411yescharacteristic
137#21511C1111yesmaximal, characteristic, direct product factor, Sylow
138C24×C11—21no—
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×C11C22×C412yes—
148C2×Q8×C11C22×C412yes—
149C2×Q8×C11C2×D412yes—
150C2×Q8×C11#4112yes—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11C22×C412yes—
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—42no—
165C22×C4×C11—81no—
166C22×C4×C11—81no—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2411yescharacteristic
174C11×Q16—28no—
175C11×SD16—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×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11C22×C412yes—
187C2×C8×C11C22×C412yes—
188C11×C4⋊C4—24no—
189C11×C4⋊C4—24no—
190C11×C4⋊C4—24no—
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—81no—
200C11×C4⋊C4—81no—
201C11×C4⋊C4C22×C412yes—
202C11×C4⋊C4C2×D412yes—
203C11×C4⋊C4#4112yes—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—24no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—81no—
208C11×C22⋊C4—81no—
209C42×C11—24no—
210C42×C11—24no—
211C42×C11—24no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—42no—
215C42×C11—81no—
216C42×C11—81no—
217C42×C11—81no—
218C42×C11C22×C412yes—
219C42×C11C2×D412yes—
220C42×C11#4112yes—
221C42×C11#4112yes—
222C2×#464C2×C1111yescharacteristic
223C2×#441C2×C1111yescharacteristic, complemented
224C2×C4×SD16C2×C1111yescharacteristic
225#2326C2×C1111yescharacteristic
226#2276C2×C1111yescharacteristic, complemented
227#1983C2×C1111yescharacteristic
228#1948C2×C1111yescharacteristic, complemented
229#1927C2×C1111yescharacteristic, complemented
230#1926C2×C1111yescharacteristic
231#1880C2×C1111yescharacteristic
232#1878C2×C1111yescharacteristic, complemented
233#1803C2×C1111yescharacteristic, complemented
234#1768C2×C1111yescharacteristic, complemented
235#1762C2×C1111yescharacteristic
236C4×#103C2×C1111yescharacteristic, complemented
237C23×C11—22no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11C22×D411yescharacteristic
245Q8×C11—22no—
246Q8×C11—22no—
247Q8×C11—22no—
248Q8×C11—22no—
249Q8×C11—22no—
250Q8×C11—41no—
251Q8×C11—41no—
252Q8×C11C4×D414yes—
253D4×C11—22no—
254D4×C11—22no—
255D4×C11—41no—
256D4×C11—41no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—22no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
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—84no—
293C2×C4×C11C4×D412yes—
294C2×C4×C11C4×D412yes—
295C2×C4×C11#12112yes—
296C2×C4×C11#12112yes—
297C2×C4×C11C23×C411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C8×C11—22no—
304C8×C11—22no—
305C8×C11—41no—
306C8×C11—41no—
307C22×Q16C22×C1111yescharacteristic
308C22×SD16C22×C1111yescharacteristic
309C2×#124C22×C1111yescharacteristic
310C2×C4×Q8C22×C1111yescharacteristic
311C2×C4×Q8C22×C1111yescharacteristic
312C2×C4×Q8C22×C1111yescharacteristic
313C2×C4×Q8C22×C1111yescharacteristic
314C2×C4×D4C22×C1111yescharacteristic
315#464C4×C1118yescomplemented
316#441—24no—
317C4×SD16—24no—
318C2×#106C22×C1111yescharacteristic
319C2×#106C22×C1111yescharacteristic
320C2×C4⋊C8C22×C1111yescharacteristic
321C2×C4⋊C8C22×C1111yescharacteristic
322C2×#103C22×C1111yescharacteristic
323C2×#103C22×C1111yescharacteristic
324C2×#103C22×C1111yescharacteristic
325C2×#103C22×C1111yescharacteristic
326C2×#103C22×C1111yescharacteristic
327C2×#102C22×C1111yescharacteristic
328C2×#102C22×C1111yescharacteristic
329C2×#102C22×C1111yescharacteristic
330C2×#97C22×C1111yescharacteristic
331C2×C4×C8C22×C1111yescharacteristic
332#391C22×C1111yescharacteristic
333#390C22×C1111yescharacteristic
334#388—21no—
335#388—21no—
336#385—21no—
337#385—21no—
338#384C22×C1111yescharacteristic
339C4×C4⋊C4—21no—
340C4×C4⋊C4—21no—
341C4×C4⋊C4—21no—
342C4×C4⋊C4C22×C1111yescharacteristic
343C4×C4⋊C4C22×C1111yescharacteristic
344C4×C4⋊C4C22×C1111yescharacteristic
345#376—21no—
346#376C22×C1111yescharacteristic
347#340C22×C1111yescharacteristic
348#340C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#340C22×C1111yescharacteristic
351#336C22×C1111yescharacteristic
352#336C22×C1111yescharacteristic
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—81no—
357C22×C11—81no—
358C22×C11—81no—
359C22×C11—81no—
360C22×C11C2×C4×D411yescharacteristic
361C22×C11C2×#12111yescharacteristic
362C22×C11#52511yescharacteristic
363C22×C11#57711yescharacteristic
364C22×C11#57711yescharacteristic
365C22×C11#57711yescharacteristic
366C22×C11#57811yescharacteristic
367C4×C11—22no—
368C4×C11—22no—
369C4×C11—22no—
370C4×C11—22no—
371C4×C11—24no—
372C4×C11—41no—
373C4×C11—41no—
374C4×C11—42no—
375C4×C11—42no—
376C4×C11—42no—
377C4×C11—42no—
378C4×C11—81no—
379C4×C11—81no—
380C4×C11C2×C4×D411yescharacteristic
381C4×C11C4×#4111yescharacteristic
382C4×C11#52911yescharacteristic
383C4×C11#53211yescharacteristic
384C22×Q8C23×C1111yescharacteristic
385C22×Q8C23×C1111yescharacteristic
386C22×D4C23×C1111yescharacteristic
387C23×C4—21no—
388C2×Q16—22no—
389C2×Q16—22no—
390C2×Q16C2×C4×C1114yescomplemented
391C2×SD16—22no—
392C2×SD16—22no—
393C2×SD16C2×C4×C1114yes—
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397C22×C8C23×C1111yescharacteristic
398#124—22no—
399#124C2×C4×C1114yes—
400C4×Q8—22no—
401C4×Q8—22no—
402C4×Q8—22no—
403C4×Q8—22no—
404C4×Q8—22no—
405C4×Q8—22no—
406C4×Q8C2×C4×C1114yescomplemented
407C4×Q8D4×C1114yes—
408C4×D4—22no—
409C4×D4—22no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42—21no—
433C2×C42C23×C1111yescharacteristic
434C2×C42C23×C1111yescharacteristic
435C2×C42C23×C1111yescharacteristic
436#106—22no—
437#106—22no—
438C4⋊C8—22no—
439C4⋊C8C2×C4×C1114yescomplemented
440#103—22no—
441#103—22no—
442#103—22no—
443#103—22no—
444#103C2×C4×C1114yescomplemented
445#102—22no—
446#102—22no—
447#102C2×C4×C1114yes—
448#97—22no—
449C4×C8—22no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C1111yescharacteristic
456#95D4×C1111yescharacteristic
457#95D4×C1111yescharacteristic
458#95D4×C1111yescharacteristic
459C2×C11—82no—
460C2×C11C4×#12111yescharacteristic
461C2×C11#294711yescharacteristic
462C2×C11#295211yescharacteristic
463C2×C11#304311yescharacteristic
464C2×C11#304611yescharacteristic
465C2×C11#312111yescharacteristic
466C2×C11#312511yescharacteristic
467C24—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×Q8C22×C4×C1112yes—
477C2×Q8C22×C4×C1112yes—
478C2×Q8C2×D4×C1112yes—
479C2×Q8C11×#4112yes—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4C22×C4×C1112yes—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—42no—
494C22×C4—81no—
495C22×C4—81no—
496C22×C4C2×D4×C1111yescharacteristic
497C22×C4C2×D4×C1111yescharacteristic
498C22×C4C2×D4×C1111yescharacteristic
499C22×C4C2×D4×C1111yescharacteristic
500C22×C4C2×D4×C1111yescharacteristic
501C22×C4C2×D4×C1111yescharacteristic
502C22×C4C24×C1111yescharacteristic
503Q16—28no—
504SD16—28no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8C22×C4×C1112yes—
516C2×C8C22×C4×C1112yes—
517C4⋊C4—24no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—42no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4C22×C4×C1112yes—
531C4⋊C4C2×D4×C1112yes—
532C4⋊C4C11×#4112yes—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—42no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C42—24no—
539C42—24no—
540C42—24no—
541C42—21no—
542C42—21no—
543C42—42no—
544C42—81no—
545C42—81no—
546C42—81no—
547C42C22×C4×C1112yes—
548C42C2×D4×C1112yes—
549C42C11×#4112yes—
550C42C11×#4112yes—
551C11#2151111yescharacteristic, direct product factor, Sylow
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C22×D4×C1111yescharacteristic
560Q8—22no—
561Q8—22no—
562Q8—22no—
563Q8—22no—
564Q8—22no—
565Q8—41no—
566Q8—41no—
567Q8C4×D4×C1114yes—
568D4—22no—
569D4—22no—
570D4—41no—
571D4—41no—
572C2×C4—22no—
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—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
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×C4C4×D4×C1112yes—
610C2×C4C11×#12112yes—
611C2×C4C11×#12112yes—
612C2×C4C23×C4×C1111yescharacteristic
613C2×C4C22×D4×C1111yescharacteristic
614C2×C4C2×C11×#4111yescharacteristic
615C2×C4C2×C11×#4111yescharacteristic
616C2×C4C2×C11×#4111yescharacteristic
617C2×C4C2×C11×#4111yescharacteristic
618C8—22no—
619C8—22no—
620C8—41no—
621C8—41no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C2×C4×D4×C1111yescharacteristic
630C22C2×C11×#12111yescharacteristic
631C22C11×#52511yescharacteristic
632C22C11×#57711yescharacteristic
633C22C11×#57711yescharacteristic
634C22C11×#57711yescharacteristic
635C22C11×#57811yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—22no—
640C4—24no—
641C4—42no—
642C4—42no—
643C4—42no—
644C4—41no—
645C4—41no—
646C4—42no—
647C4—81no—
648C4—81no—
649C4C2×C4×D4×C1111yescharacteristic
650C4C4×C11×#4111yescharacteristic
651C4C11×#52911yescharacteristic
652C4C11×#53211yescharacteristic
653C2—82no—
654C2C4×C11×#12111yescharacteristic
655C2C11×#294711yescharacteristic
656C2C11×#295211yescharacteristic
657C2C11×#304311yescharacteristic
658C2C11×#304611yescharacteristic
659C2C11×#312111yescharacteristic
660C2C11×#312511yescharacteristic
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 ◁ C11×#376 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#441C2semidirect
5. C11×#2276C2semidirect
7. C11×#1948C2semidirect
8. C11×#1927C2semidirect
11. C11×#1878C2semidirect
12. C11×#1803C2semidirect
13. C11×#1768C2semidirect
15. C4×C11×#103C2semidirect
24. C11×#464C4semidirect
68. C2×C11×Q16C2×C4semidirect
84. C4×Q8×C11C2×C4semidirect
117. C11×C4⋊C8C2×C4semidirect
122. C11×#103C2×C4semidirect
137. #21511C11direct (N × H)
223. C2×#441C2×C11semidirect
226. #2276C2×C11semidirect
228. #1948C2×C11semidirect
229. #1927C2×C11semidirect
232. #1878C2×C11semidirect
233. #1803C2×C11semidirect
234. #1768C2×C11semidirect
236. C4×#103C2×C11semidirect
315. #464C4×C11semidirect
390. C2×Q16C2×C4×C11semidirect
406. C4×Q8C2×C4×C11semidirect
439. C4⋊C8C2×C4×C11semidirect
444. #103C2×C4×C11semidirect
551. C11#21511direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4642
C2×C11×#4412
C2×C4×C11×SD162
C11×#23262
C11×#22762
C11×#19832
C11×#19482
C11×#19272
C11×#19262
C11×#18802
C11×#18782
C11×#18032
C11×#17682
C11×#17622
C4×C11×#1032
#2151111