Finite Group Databasebeta

← C11×#23104 #14600297

Subgroups — C11×#23104 #14600297

Order 2816.

894 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#463C211yesmaximal, characteristic
2C11×#2367C211yesmaximal, characteristic, complemented
3C11×#2357C211yesmaximal, characteristic, complemented
4C11×#1973C211yesmaximal, characteristic, complemented
5C11×#1972C211yesmaximal, characteristic
6C11×#1958C211yesmaximal, characteristic, complemented
7C11×#1949C211yesmaximal, characteristic, complemented
8C11×#1927C211yesmaximal, characteristic, complemented
9C11×#1925C211yesmaximal, characteristic, complemented
10C11×#1880C211yesmaximal, characteristic, complemented
11C11×#1879C211yesmaximal, characteristic
12C11×#1770C211yesmaximal, characteristic, complemented
13C11×#1763C211yesmaximal, characteristic, complemented
14C11×#1762C211yesmaximal, characteristic, complemented
15C4×C11×#102C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×D8C2211yescharacteristic
18C2×C11×#124C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C11×#463C418yescomplemented
23C2×C11×#107C2211yescharacteristic
24C2×C11×#106C2211yescharacteristic
25C2×C11×C4⋊C8C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×#103C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#97C2211yescharacteristic
35C2×C11×#97C2211yescharacteristic
36C2×C4×C8×C11C2211yescharacteristic
37C11×#391C2211yescharacteristic
38C11×#390C2211yescharacteristic
39C11×#390C2211yescharacteristic
40C11×#390C2211yescharacteristic
41C11×#388—21no—
42C11×#388—21no—
43C11×#388—21no—
44C11×#388—21no—
45C11×#385—21no—
46C11×#382C2211yescharacteristic
47C11×#381—21no—
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C4⋊C4C2211yescharacteristic
51C4×C11×C4⋊C4C2211yescharacteristic
52C4×C11×C22⋊C4—21no—
53C4×C11×C22⋊C4—21no—
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11—21no—
65C2×C11×SD16—41no—
66C2×C11×SD16—41no—
67C2×C11×SD16C2×C414yescomplemented
68C2×C11×D8—41no—
69C2×C11×D8—41no—
70C2×C11×D8C2×C414yes—
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C11×#124—22no—
76C11×#124C2×C414yes—
77C4×Q8×C11—22no—
78C4×Q8×C11—41no—
79C4×D4×C11—22no—
80C4×D4×C11—22no—
81C4×D4×C11—41no—
82C4×D4×C11C2×C414yescomplemented
83C2×C11×C4⋊C4—21no—
84C2×C11×C4⋊C4D411yescharacteristic
85C2×C11×C4⋊C4D411yescharacteristic
86C2×C11×C4⋊C4C2311yescharacteristic
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C4⋊C4C2311yescharacteristic
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C22⋊C4—21no—
92C2×C11×C22⋊C4—21no—
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×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C42×C11—21no—
102C2×C42×C11—21no—
103C2×C42×C11—21no—
104C2×C42×C11—21no—
105C2×C42×C11C2311yescharacteristic
106C2×C42×C11C2311yescharacteristic
107C2×C42×C11C2311yescharacteristic
108C11×#107—41no—
109C11×#106—41no—
110C11×C4⋊C8C2×C414yescomplemented
111C11×#103—22no—
112C11×#103—41no—
113C11×#103C2×C414yescomplemented
114C11×#102—22no—
115C11×#102—22no—
116C11×#102—22no—
117C11×#102—41no—
118C11×#102C2×C414yes—
119C11×#97—41no—
120C11×#97—41no—
121C4×C8×C11—22no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95D411yescharacteristic
130C11×#95D411yescharacteristic
131#23104C1111yesmaximal, 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—21no—
141C2×D4×C11—21no—
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×C11C22×C412yes—
151C2×D4×C11C22×C412yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—24no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—42no—
160C22×C4×C11—42no—
161C22×C4×C11—81no—
162C22×C4×C11—81no—
163C22×C4×C11—81no—
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2411yescharacteristic
171C11×SD16—44no—
172C11×D8—44no—
173C2×C8×C11—21no—
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×C11#4112yes—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—41no—
194C11×C4⋊C4—41no—
195C11×C4⋊C4—42no—
196C11×C4⋊C4C22×C412yes—
197C11×C4⋊C4#4112yes—
198C11×C22⋊C4—24no—
199C11×C22⋊C4—24no—
200C11×C22⋊C4—24no—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—42no—
203C11×C22⋊C4—42no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—81no—
206C11×C22⋊C4—81no—
207C11×C22⋊C4—81no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—42no—
213C42×C11—81no—
214C42×C11—81no—
215C42×C11—81no—
216C42×C11C22×C412yes—
217C42×C11#4112yes—
218C2×#463C2×C1111yescharacteristic
219#2367C2×C1111yescharacteristic, complemented
220#2357C2×C1111yescharacteristic, complemented
221#1973C2×C1111yescharacteristic, complemented
222#1972C2×C1111yescharacteristic
223#1958C2×C1111yescharacteristic, complemented
224#1949C2×C1111yescharacteristic, complemented
225#1927C2×C1111yescharacteristic, complemented
226#1925C2×C1111yescharacteristic, complemented
227#1880C2×C1111yescharacteristic, complemented
228#1879C2×C1111yescharacteristic
229#1770C2×C1111yescharacteristic, complemented
230#1763C2×C1111yescharacteristic, complemented
231#1762C2×C1111yescharacteristic, complemented
232C4×#102C2×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—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
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—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—41no—
294C2×C4×C11—84no—
295C2×C4×C11—84no—
296C2×C4×C11C4×D412yes—
297C2×C4×C11C4×D412yes—
298C2×C4×C11C23×C411yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C8×C11—22no—
305C8×C11—22no—
306C8×C11—22no—
307C8×C11—41no—
308C22×SD16C22×C1111yescharacteristic
309C22×D8C22×C1111yescharacteristic
310C2×#124C22×C1111yescharacteristic
311C2×C4×Q8C22×C1111yescharacteristic
312C2×C4×D4C22×C1111yescharacteristic
313C2×C4×D4C22×C1111yescharacteristic
314#463C4×C1118yescomplemented
315C2×#107C22×C1111yescharacteristic
316C2×#106C22×C1111yescharacteristic
317C2×C4⋊C8C22×C1111yescharacteristic
318C2×#103C22×C1111yescharacteristic
319C2×#103C22×C1111yescharacteristic
320C2×#103C22×C1111yescharacteristic
321C2×#102C22×C1111yescharacteristic
322C2×#102C22×C1111yescharacteristic
323C2×#102C22×C1111yescharacteristic
324C2×#102C22×C1111yescharacteristic
325C2×#102C22×C1111yescharacteristic
326C2×#97C22×C1111yescharacteristic
327C2×#97C22×C1111yescharacteristic
328C2×C4×C8C22×C1111yescharacteristic
329#391C22×C1111yescharacteristic
330#390C22×C1111yescharacteristic
331#390C22×C1111yescharacteristic
332#390C22×C1111yescharacteristic
333#388—21no—
334#388—21no—
335#388—21no—
336#388—21no—
337#385—21no—
338#382C22×C1111yescharacteristic
339#381—21no—
340C4×C4⋊C4C22×C1111yescharacteristic
341C4×C4⋊C4C22×C1111yescharacteristic
342C4×C4⋊C4C22×C1111yescharacteristic
343C4×C4⋊C4C22×C1111yescharacteristic
344C4×C22⋊C4—21no—
345C4×C22⋊C4—21no—
346#340C22×C1111yescharacteristic
347#340C22×C1111yescharacteristic
348#340C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#336C22×C1111yescharacteristic
351#336C22×C1111yescharacteristic
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—81no—
359C22×C11—81no—
360C22×C11—81no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11—81no—
364C22×C11—81no—
365C22×C11—81no—
366C22×C11C2×C4×D411yescharacteristic
367C22×C11#54611yescharacteristic
368C22×C11#55011yescharacteristic
369C22×C11#57511yescharacteristic
370C22×C11#57511yescharacteristic
371C22×C11#57611yescharacteristic
372C22×C11#57711yescharacteristic
373C4×C11—22no—
374C4×C11—22no—
375C4×C11—42no—
376C4×C11—42no—
377C4×C11—41no—
378C4×C11—41no—
379C4×C11—42no—
380C4×C11—41no—
381C4×C11—41no—
382C4×C11—81no—
383C4×C11—81no—
384C4×C11—81no—
385C4×C11C4×#4111yescharacteristic
386C4×C11#51811yescharacteristic
387C4×C11#55311yescharacteristic
388C4×C11#55511yescharacteristic
389C22×Q8C23×C1111yescharacteristic
390C22×D4C23×C1111yescharacteristic
391C22×D4C23×C1111yescharacteristic
392C23×C4—21no—
393C23×C4—21no—
394C2×SD16—41no—
395C2×SD16—41no—
396C2×SD16C2×C4×C1114yescomplemented
397C2×D8—41no—
398C2×D8—41no—
399C2×D8C2×C4×C1114yes—
400C22×C8C23×C1111yescharacteristic
401C22×C8C23×C1111yescharacteristic
402C22×C8C23×C1111yescharacteristic
403C22×C8C23×C1111yescharacteristic
404#124—22no—
405#124C2×C4×C1114yes—
406C4×Q8—22no—
407C4×Q8—41no—
408C4×D4—22no—
409C4×D4—22no—
410C4×D4—41no—
411C4×D4C2×C4×C1114yescomplemented
412C2×C4⋊C4—21no—
413C2×C4⋊C4D4×C1111yescharacteristic
414C2×C4⋊C4D4×C1111yescharacteristic
415C2×C4⋊C4C23×C1111yescharacteristic
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
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×C42—21no—
433C2×C42—21no—
434C2×C42C23×C1111yescharacteristic
435C2×C42C23×C1111yescharacteristic
436C2×C42C23×C1111yescharacteristic
437#107—41no—
438#106—41no—
439C4⋊C8C2×C4×C1114yescomplemented
440#103—22no—
441#103—41no—
442#103C2×C4×C1114yescomplemented
443#102—22no—
444#102—22no—
445#102—22no—
446#102—41no—
447#102C2×C4×C1114yes—
448#97—41no—
449#97—41no—
450C4×C8—22no—
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
460C2×C11—82no—
461C2×C11—82no—
462C2×C11#236311yescharacteristic
463C2×C11#294311yescharacteristic
464C2×C11#294611yescharacteristic
465C2×C11#332211yescharacteristic
466C2×C11#332611yescharacteristic
467C2×C11#340111yescharacteristic
468C2×C11#340311yescharacteristic
469C24—21no—
470C24—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8C22×C4×C1112yes—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4C22×C4×C1112yes—
488C2×D4C22×C4×C1112yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—24no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4C2×D4×C1111yescharacteristic
502C22×C4C2×D4×C1111yescharacteristic
503C22×C4C2×D4×C1111yescharacteristic
504C22×C4C2×D4×C1111yescharacteristic
505C22×C4C2×D4×C1111yescharacteristic
506C22×C4C2×D4×C1111yescharacteristic
507C22×C4C24×C1111yescharacteristic
508SD16—44no—
509D8—44no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8C22×C4×C1112yes—
520C2×C8C22×C4×C1112yes—
521C2×C8C11×#4112yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4—42no—
533C4⋊C4C22×C4×C1112yes—
534C4⋊C4C11×#4112yes—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—42no—
550C42—81no—
551C42—81no—
552C42—81no—
553C42C22×C4×C1112yes—
554C42C11×#4112yes—
555C11#2310411yescharacteristic, direct product factor, Sylow
556C23—22no—
557C23—22no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23C22×D4×C1111yescharacteristic
571Q8—22no—
572Q8—22no—
573Q8—41no—
574Q8—41no—
575D4—22no—
576D4—22no—
577D4—22no—
578D4—22no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
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—41no—
603C2×C4—41no—
604C2×C4—41no—
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—84no—
618C2×C4—84no—
619C2×C4C4×D4×C1112yes—
620C2×C4C4×D4×C1112yes—
621C2×C4C23×C4×C1111yescharacteristic
622C2×C4C2×C11×#4111yescharacteristic
623C2×C4C2×C11×#4111yescharacteristic
624C2×C4C2×C11×#4111yescharacteristic
625C2×C4C11×H(5,𝔽2)11yescharacteristic
626C2×C4C11×H(5,𝔽2)11yescharacteristic
627C8—22no—
628C8—22no—
629C8—22no—
630C8—41no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C2×C4×D4×C1111yescharacteristic
646C22C11×#54611yescharacteristic
647C22C11×#55011yescharacteristic
648C22C11×#57511yescharacteristic
649C22C11×#57511yescharacteristic
650C22C11×#57611yescharacteristic
651C22C11×#57711yescharacteristic
652C4—22no—
653C4—22no—
654C4—42no—
655C4—41no—
656C4—41no—
657C4—42no—
658C4—41no—
659C4—41no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C4×C11×#4111yescharacteristic
665C4C11×#51811yescharacteristic
666C4C11×#55311yescharacteristic
667C4C11×#55511yescharacteristic
668C2—82no—
669C2—82no—
670C2C11×#236311yescharacteristic
671C2C11×#294311yescharacteristic
672C2C11×#294611yescharacteristic
673C2C11×#332211yescharacteristic
674C2C11×#332611yescharacteristic
675C2C11×#340111yescharacteristic
676C2C11×#340311yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×D8C22
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
2. C11×#2367C2semidirect
3. C11×#2357C2semidirect
4. C11×#1973C2semidirect
6. C11×#1958C2semidirect
7. C11×#1949C2semidirect
8. C11×#1927C2semidirect
9. C11×#1925C2semidirect
10. C11×#1880C2semidirect
12. C11×#1770C2semidirect
13. C11×#1763C2semidirect
14. C11×#1762C2semidirect
15. C4×C11×#102C2semidirect
22. C11×#463C4semidirect
67. C2×C11×SD16C2×C4semidirect
82. C4×D4×C11C2×C4semidirect
110. C11×C4⋊C8C2×C4semidirect
113. C11×#103C2×C4semidirect
131. #23104C11direct (N × H)
219. #2367C2×C11semidirect
220. #2357C2×C11semidirect
221. #1973C2×C11semidirect
223. #1958C2×C11semidirect
224. #1949C2×C11semidirect
225. #1927C2×C11semidirect
226. #1925C2×C11semidirect
227. #1880C2×C11semidirect
229. #1770C2×C11semidirect
230. #1763C2×C11semidirect
231. #1762C2×C11semidirect
232. C4×#102C2×C11semidirect
314. #463C4×C11semidirect
396. C2×SD16C2×C4×C11semidirect
411. C4×D4C2×C4×C11semidirect
439. C4⋊C8C2×C4×C11semidirect
442. #103C2×C4×C11semidirect
555. C11#23104direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4632
C11×#23672
C11×#23572
C11×#19732
C11×#19722
C11×#19582
C11×#19492
C11×#19272
C11×#19252
C11×#18802
C11×#18792
C11×#17702
C11×#17632
C11×#17622
C4×C11×#1022
#2310411