Finite Group Databasebeta

← C11×#22160 #14599353

Subgroups — C11×#22160 #14599353

Order 2816.

880 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#460C211yesmaximal, characteristic
2C11×#2328C211yesmaximal, characteristic
3C11×#2320C211yesmaximal, characteristic, complemented
4C11×#1982C211yesmaximal, characteristic
5C11×#1973C211yesmaximal, characteristic, complemented
6C11×#1968C211yesmaximal, characteristic, complemented
7C11×#1949C211yesmaximal, characteristic, complemented
8C11×#1936C211yesmaximal, characteristic, complemented
9C11×#1934C211yesmaximal, characteristic, complemented
10C11×#1877C211yesmaximal, characteristic, complemented
11C11×#1877C211yesmaximal, characteristic, complemented
12C11×#1864C211yesmaximal, characteristic, complemented
13C11×#1862C211yesmaximal, characteristic, complemented
14C11×#1805C211yesmaximal, characteristic, complemented
15C11×#1768C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C11×#127C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C11×#460C418yescomplemented
23C2×C11×#107C2211yescharacteristic
24C2×C11×#106C2211yescharacteristic
25C2×C11×C4⋊C8C2211yescharacteristic
26C2×C11×C4⋊C8C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×#103C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#97C2211yescharacteristic
36C2×C4×C8×C11C2211yescharacteristic
37C11×#391C2211yescharacteristic
38C11×#391C2211yescharacteristic
39C11×#390C2211yescharacteristic
40C11×#390C2211yescharacteristic
41C11×#389C2211yescharacteristic
42C11×#389C2211yescharacteristic
43C11×#387—21no—
44C11×#387—21no—
45C11×#386—21no—
46C11×#386—21no—
47C11×#386—21no—
48C11×#386—21no—
49C11×#383—21no—
50C11×#382—21no—
51C11×#382C2211yescharacteristic
52C4×C11×C4⋊C4C2211yescharacteristic
53C11×#376C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C2×C11×SD16—41no—
68C2×C11×SD16—41no—
69C2×C11×SD16—41no—
70C2×C11×SD16—41no—
71C2×C11×SD16C2×C414yescomplemented
72C2×C11×SD16C2×C414yescomplemented
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C11×#127—22no—
78C11×#127C2×C414yes—
79C4×Q8×C11—22no—
80C4×Q8×C11C2×C414yescomplemented
81C4×D4×C11—41no—
82C4×D4×C11—41no—
83C4×D4×C11—41no—
84C4×D4×C11—41no—
85C2×C11×C4⋊C4—21no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4C2311yescharacteristic
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C22⋊C4—21no—
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C42×C11—21no—
100C2×C42×C11—21no—
101C2×C42×C11C2311yescharacteristic
102C2×C42×C11C2311yescharacteristic
103C2×C42×C11C2311yescharacteristic
104C11×#107—41no—
105C11×#106—41no—
106C11×C4⋊C8—22no—
107C11×C4⋊C8C2×C414yescomplemented
108C11×#103—41no—
109C11×#103—41no—
110C11×#102—41no—
111C11×#102—41no—
112C11×#102—41no—
113C11×#102—41no—
114C11×#102C2×C414yescomplemented
115C11×#102C2×C414yescomplemented
116C11×#97—41no—
117C4×C8×C11—41no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95D411yescharacteristic
128C11×#95D411yescharacteristic
129C11×#95D411yescharacteristic
130C11×#95D411yescharacteristic
131#22160C1111yesmaximal, characteristic, direct product factor, Sylow
132C24×C11—21no—
133C24×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11—21no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11C22×C412yes—
140C2×D4×C11—24no—
141C2×D4×C11—24no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—81no—
153C2×D4×C11—81no—
154C2×D4×C11—81no—
155C2×D4×C11—81no—
156C2×D4×C11C22×C412yes—
157C2×D4×C11C22×C412yes—
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—42no—
166C22×C4×C11—81no—
167C22×C4×C11—81no—
168C22×C4×C11—81no—
169C22×C4×C11—81no—
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C11×SD16—44no—
178C11×SD16—44no—
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×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11C22×C412yes—
190C2×C8×C11C22×C412yes—
191C11×C4⋊C4—24no—
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—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—81no—
202C11×C4⋊C4—81no—
203C11×C4⋊C4C22×C412yes—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—81no—
207C11×C22⋊C4—81no—
208C11×C22⋊C4—81no—
209C11×C22⋊C4—81no—
210C42×C11—24no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—81no—
216C42×C11C22×C412yes—
217C42×C11#4112yes—
218C2×#460C2×C1111yescharacteristic
219#2328C2×C1111yescharacteristic
220#2320C2×C1111yescharacteristic, complemented
221#1982C2×C1111yescharacteristic
222#1973C2×C1111yescharacteristic, complemented
223#1968C2×C1111yescharacteristic, complemented
224#1949C2×C1111yescharacteristic, complemented
225#1936C2×C1111yescharacteristic, complemented
226#1934C2×C1111yescharacteristic, complemented
227#1877C2×C1111yescharacteristic, complemented
228#1877C2×C1111yescharacteristic, complemented
229#1864C2×C1111yescharacteristic, complemented
230#1862C2×C1111yescharacteristic, complemented
231#1805C2×C1111yescharacteristic, complemented
232#1768C2×C1111yescharacteristic, complemented
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11C22×D411yescharacteristic
248Q8×C11—22no—
249Q8×C11—22no—
250Q8×C11—41no—
251Q8×C11—41no—
252D4×C11—22no—
253D4×C11—22no—
254D4×C11—22no—
255D4×C11—22no—
256D4×C11—41no—
257D4×C11—41no—
258D4×C11—41no—
259D4×C11—41no—
260D4×C11—84no—
261D4×C11—84no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
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—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
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—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—84no—
297C2×C4×C11—84no—
298C2×C4×C11C4×D412yes—
299C2×C4×C11C4×D412yes—
300C2×C4×C11C23×C411yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C2×C4×C112−1+411yescharacteristic
306C8×C11—22no—
307C8×C11—22no—
308C8×C11—41no—
309C8×C11—41no—
310C22×SD16C22×C1111yescharacteristic
311C22×SD16C22×C1111yescharacteristic
312C2×#127C22×C1111yescharacteristic
313C2×C4×Q8C22×C1111yescharacteristic
314C2×C4×D4C22×C1111yescharacteristic
315C2×C4×D4C22×C1111yescharacteristic
316#460C4×C1118yescomplemented
317C2×#107C22×C1111yescharacteristic
318C2×#106C22×C1111yescharacteristic
319C2×C4⋊C8C22×C1111yescharacteristic
320C2×C4⋊C8C22×C1111yescharacteristic
321C2×#103C22×C1111yescharacteristic
322C2×#103C22×C1111yescharacteristic
323C2×#102C22×C1111yescharacteristic
324C2×#102C22×C1111yescharacteristic
325C2×#102C22×C1111yescharacteristic
326C2×#102C22×C1111yescharacteristic
327C2×#102C22×C1111yescharacteristic
328C2×#102C22×C1111yescharacteristic
329C2×#97C22×C1111yescharacteristic
330C2×C4×C8C22×C1111yescharacteristic
331#391C22×C1111yescharacteristic
332#391C22×C1111yescharacteristic
333#390C22×C1111yescharacteristic
334#390C22×C1111yescharacteristic
335#389C22×C1111yescharacteristic
336#389C22×C1111yescharacteristic
337#387—21no—
338#387—21no—
339#386—21no—
340#386—21no—
341#386—21no—
342#386—21no—
343#383—21no—
344#382—21no—
345#382C22×C1111yescharacteristic
346C4×C4⋊C4C22×C1111yescharacteristic
347#376C22×C1111yescharacteristic
348#340C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#340C22×C1111yescharacteristic
351#340C22×C1111yescharacteristic
352#336C22×C1111yescharacteristic
353#336C22×C1111yescharacteristic
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—81no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11—81no—
364C22×C11—81no—
365C22×C11—81no—
366C22×C11—81no—
367C22×C11—81no—
368C22×C11C2×C4×D411yescharacteristic
369C22×C11#53511yescharacteristic
370C22×C11#53711yescharacteristic
371C22×C11#57611yescharacteristic
372C22×C11#57711yescharacteristic
373C22×C11#57711yescharacteristic
374C22×C11#57711yescharacteristic
375C4×C11—22no—
376C4×C11—22no—
377C4×C11—42no—
378C4×C11—42no—
379C4×C11—41no—
380C4×C11—41no—
381C4×C11—41no—
382C4×C11—41no—
383C4×C11—81no—
384C4×C11—81no—
385C4×C11—81no—
386C4×C11—81no—
387C4×C11#51811yescharacteristic
388C4×C11#52011yescharacteristic
389C4×C11#54011yescharacteristic
390C4×C11#54211yescharacteristic
391C22×Q8C23×C1111yescharacteristic
392C22×D4—21no—
393C22×D4—21no—
394C22×D4C23×C1111yescharacteristic
395C22×D4C23×C1111yescharacteristic
396C23×C4—21no—
397C23×C4—21no—
398C2×SD16—41no—
399C2×SD16—41no—
400C2×SD16—41no—
401C2×SD16—41no—
402C2×SD16C2×C4×C1114yescomplemented
403C2×SD16C2×C4×C1114yescomplemented
404C22×C8C23×C1111yescharacteristic
405C22×C8C23×C1111yescharacteristic
406C22×C8C23×C1111yescharacteristic
407C22×C8C23×C1111yescharacteristic
408#127—22no—
409#127C2×C4×C1114yes—
410C4×Q8—22no—
411C4×Q8C2×C4×C1114yescomplemented
412C4×D4—41no—
413C4×D4—41no—
414C4×D4—41no—
415C4×D4—41no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C4⋊C4C23×C1111yescharacteristic
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C1111yescharacteristic
433C2×C42C23×C1111yescharacteristic
434C2×C42C23×C1111yescharacteristic
435#107—41no—
436#106—41no—
437C4⋊C8—22no—
438C4⋊C8C2×C4×C1114yescomplemented
439#103—41no—
440#103—41no—
441#102—41no—
442#102—41no—
443#102—41no—
444#102—41no—
445#102C2×C4×C1114yescomplemented
446#102C2×C4×C1114yescomplemented
447#97—41no—
448C4×C8—41no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95D4×C1111yescharacteristic
459#95D4×C1111yescharacteristic
460#95D4×C1111yescharacteristic
461#95D4×C1111yescharacteristic
462C2×C11—82no—
463C2×C11—82no—
464C2×C11#232411yescharacteristic
465C2×C11#294611yescharacteristic
466C2×C11#294911yescharacteristic
467C2×C11#322211yescharacteristic
468C2×C11#322411yescharacteristic
469C2×C11#325711yescharacteristic
470C2×C11#326011yescharacteristic
471C24—21no—
472C24—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8C22×C4×C1112yes—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—81no—
492C2×D4—81no—
493C2×D4—81no—
494C2×D4—81no—
495C2×D4C22×C4×C1112yes—
496C2×D4C22×C4×C1112yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—81no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4C2×D4×C1111yescharacteristic
510C22×C4C2×D4×C1111yescharacteristic
511C22×C4C2×D4×C1111yescharacteristic
512C22×C4C2×D4×C1111yescharacteristic
513C22×C4C2×D4×C1111yescharacteristic
514C22×C4C2×D4×C1111yescharacteristic
515C22×C4C24×C1111yescharacteristic
516SD16—44no—
517SD16—44no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8C22×C4×C1112yes—
529C2×C8C22×C4×C1112yes—
530C4⋊C4—24no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C4⋊C4C22×C4×C1112yes—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C42—24no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—81no—
555C42C22×C4×C1112yes—
556C42C11×#4112yes—
557C11#2216011yescharacteristic, direct product factor, Sylow
558C23—22no—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C22×D4×C1111yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—41no—
576Q8—41no—
577D4—22no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—84no—
586D4—84no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4C4×D4×C1112yes—
624C2×C4C4×D4×C1112yes—
625C2×C4C23×C4×C1111yescharacteristic
626C2×C4C2×C11×#4111yescharacteristic
627C2×C4C11×H(5,𝔽2)11yescharacteristic
628C2×C4C11×H(5,𝔽2)11yescharacteristic
629C2×C4C11×H(5,𝔽2)11yescharacteristic
630C2×C4C11×2−1+411yescharacteristic
631C8—22no—
632C8—22no—
633C8—41no—
634C8—41no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×C4×D4×C1111yescharacteristic
650C22C11×#53511yescharacteristic
651C22C11×#53711yescharacteristic
652C22C11×#57611yescharacteristic
653C22C11×#57711yescharacteristic
654C22C11×#57711yescharacteristic
655C22C11×#57711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—42no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C11×#51811yescharacteristic
669C4C11×#52011yescharacteristic
670C4C11×#54011yescharacteristic
671C4C11×#54211yescharacteristic
672C2—82no—
673C2—82no—
674C2C11×#232411yescharacteristic
675C2C11×#294611yescharacteristic
676C2C11×#294911yescharacteristic
677C2C11×#322211yescharacteristic
678C2C11×#322411yescharacteristic
679C2C11×#325711yescharacteristic
680C2C11×#326011yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#127C22
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
3. C11×#2320C2semidirect
5. C11×#1973C2semidirect
6. C11×#1968C2semidirect
7. C11×#1949C2semidirect
8. C11×#1936C2semidirect
9. C11×#1934C2semidirect
10. C11×#1877C2semidirect
11. C11×#1877C2semidirect
12. C11×#1864C2semidirect
13. C11×#1862C2semidirect
14. C11×#1805C2semidirect
15. C11×#1768C2semidirect
22. C11×#460C4semidirect
71. C2×C11×SD16C2×C4semidirect
72. C2×C11×SD16C2×C4semidirect
80. C4×Q8×C11C2×C4semidirect
107. C11×C4⋊C8C2×C4semidirect
114. C11×#102C2×C4semidirect
115. C11×#102C2×C4semidirect
131. #22160C11direct (N × H)
220. #2320C2×C11semidirect
222. #1973C2×C11semidirect
223. #1968C2×C11semidirect
224. #1949C2×C11semidirect
225. #1936C2×C11semidirect
226. #1934C2×C11semidirect
227. #1877C2×C11semidirect
228. #1877C2×C11semidirect
229. #1864C2×C11semidirect
230. #1862C2×C11semidirect
231. #1805C2×C11semidirect
232. #1768C2×C11semidirect
316. #460C4×C11semidirect
402. C2×SD16C2×C4×C11semidirect
403. C2×SD16C2×C4×C11semidirect
411. C4×Q8C2×C4×C11semidirect
438. C4⋊C8C2×C4×C11semidirect
445. #102C2×C4×C11semidirect
446. #102C2×C4×C11semidirect
557. C11#22160direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4602
C11×#23282
C11×#23202
C11×#19822
C11×#19732
C11×#19682
C11×#19492
C11×#19362
C11×#19342
C11×#18772
C11×#18642
C11×#18622
C11×#18052
C11×#17682
#2216011