Finite Group Databasebeta

← C11×#26373 #14603566

Subgroups — C11×#26373 #14603566

Order 2816.

864 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#475C211yesmaximal, characteristic, complemented
2C2×C4×C11×SD16C211yesmaximal, characteristic
3C11×#2452C211yesmaximal, characteristic
4Q8×C11×C4⋊C4C211yesmaximal, characteristic, complemented
5C11×#2094C211yesmaximal, characteristic
6C11×#2084C211yesmaximal, characteristic, complemented
7C11×#2065C211yesmaximal, characteristic
8C11×#2058C211yesmaximal, characteristic, complemented
9C11×#1941C211yesmaximal, characteristic, complemented
10C11×#1916C211yesmaximal, characteristic, complemented
11C11×#1880C211yesmaximal, characteristic
12C11×#1880C211yesmaximal, characteristic
13C11×#1865C211yesmaximal, characteristic, complemented
14C11×#1865C211yesmaximal, characteristic, complemented
15C11×#1864C211yesmaximal, characteristic
16C22×C11×SD16C2211yescharacteristic
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×C22⋊Q8—21no—
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C4×D4×C11C2211yescharacteristic
23C11×#475—24no—
24C4×C11×SD16—24no—
25C2×C11×#106C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29C2×C11×#106C2211yescharacteristic
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C4×C8×C11C2211yescharacteristic
38C11×#396—21no—
39C11×#393—21no—
40C11×#390C2211yescharacteristic
41C11×#390C2211yescharacteristic
42C11×#389—21no—
43C11×#389—21no—
44C11×#389C2211yescharacteristic
45C11×#389C2211yescharacteristic
46C11×#389C2211yescharacteristic
47C11×#389C2211yescharacteristic
48C11×#385—21no—
49C11×#384—21no—
50C11×#384C2211yescharacteristic
51C4×C11×C4⋊C4—21no—
52C4×C11×C4⋊C4C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×Q8×C11—21no—
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C2×C11×SD16—22no—
66C2×C11×SD16—22no—
67C2×C11×SD16Q814yescomplemented
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C11×C4⋊Q8—22no—
73C11×C4⋊Q8—41no—
74C11×C22⋊Q8—44no—
75C4×Q8×C11—22no—
76C4×Q8×C11—22no—
77C4×Q8×C11—22no—
78C4×Q8×C11—22no—
79C4×Q8×C11—41no—
80C4×Q8×C11—41no—
81C4×D4×C11—22no—
82C4×D4×C11—41no—
83C2×C11×C4⋊C4—21no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—21no—
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⋊C4D411yescharacteristic
94C2×C11×C4⋊C4D411yescharacteristic
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⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C42×C11—21no—
107C2×C42×C11—21no—
108C2×C42×C11—21no—
109C2×C42×C11C2311yescharacteristic
110C2×C42×C11C2311yescharacteristic
111C2×C42×C11C2311yescharacteristic
112C11×#106—22no—
113C11×#106—22no—
114C11×#106—22no—
115C11×#106—22no—
116C11×#106—41no—
117C11×C4⋊C8—22no—
118C11×#103—22no—
119C11×#103—22no—
120C11×#103D414yes—
121C11×#102—22no—
122C11×#102—22no—
123C11×#102—41no—
124C4×C8×C11—22no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95D411yescharacteristic
130C11×#95D411yescharacteristic
131#26373C1111yesmaximal, characteristic, direct product factor, Sylow
132C24×C11—21no—
133C2×Q8×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11—21no—
136C2×Q8×C11—42no—
137C2×Q8×C11—42no—
138C2×Q8×C11—81no—
139C2×Q8×C11C2×D412yes—
140C2×Q8×C11C2×Q812yes—
141C2×Q8×C11#4112yes—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11C2×Q812yes—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—42no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2411yescharacteristic
165C11×SD16—28no—
166C2×C8×C11—21no—
167C2×C8×C11—21no—
168C2×C8×C11—21no—
169C2×C8×C11—21no—
170C2×C8×C11—21no—
171C2×C8×C11—21no—
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11C2×D412yes—
177C2×C8×C11C2×Q812yes—
178C11×C4⋊C4—24no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—41no—
190C11×C4⋊C4—42no—
191C11×C4⋊C4—42no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4—42no—
196C11×C4⋊C4—81no—
197C11×C4⋊C4—81no—
198C11×C4⋊C4—81no—
199C11×C4⋊C4SD1614yescomplemented
200C11×C4⋊C4C2×D412yes—
201C11×C4⋊C4#4112yes—
202C11×C22⋊C4—42no—
203C11×C22⋊C4—42no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—81no—
207C42×C11—24no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—42no—
215C42×C11—42no—
216C2×#475C2×C1111yescharacteristic, complemented
217C2×C4×SD16C2×C1111yescharacteristic
218#2452C2×C1111yescharacteristic
219Q8×C4⋊C4C2×C1111yescharacteristic, complemented
220#2094C2×C1111yescharacteristic
221#2084C2×C1111yescharacteristic, complemented
222#2065C2×C1111yescharacteristic
223#2058C2×C1111yescharacteristic, complemented
224#1941C2×C1111yescharacteristic, complemented
225#1916C2×C1111yescharacteristic, complemented
226#1880C2×C1111yescharacteristic
227#1880C2×C1111yescharacteristic
228#1865C2×C1111yescharacteristic, complemented
229#1865C2×C1111yescharacteristic, complemented
230#1864C2×C1111yescharacteristic
231C23×C11—22no—
232C23×C11—41no—
233C23×C11—41no—
234C23×C11—41no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11C22×D411yescharacteristic
239Q8×C11—22no—
240Q8×C11—22no—
241Q8×C11—22no—
242Q8×C11—84no—
243Q8×C11C22⋊Q814yescomplemented
244D4×C11—22no—
245D4×C11—22no—
246D4×C11—41no—
247D4×C11—41no—
248C2×C4×C11—21no—
249C2×C4×C11—22no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—22no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
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—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
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—84no—
285C2×C4×C11C2×SD1612yes—
286C2×C4×C11C2×SD1612yes—
287C2×C4×C11C2×SD1612yes—
288C2×C4×C11C22×D411yescharacteristic
289C2×C4×C11C22×Q811yescharacteristic
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11H(5,𝔽2)11yescharacteristic
293C2×C4×C112−1+411yescharacteristic
294C8×C11—22no—
295C8×C11—22no—
296C8×C11—41no—
297C8×C11—41no—
298C22×SD16C22×C1111yescharacteristic
299C2×C4⋊Q8C22×C1111yescharacteristic
300C2×C22⋊Q8—21no—
301C2×C4×Q8C22×C1111yescharacteristic
302C2×C4×Q8C22×C1111yescharacteristic
303C2×C4×Q8C22×C1111yescharacteristic
304C2×C4×D4C22×C1111yescharacteristic
305#475—24no—
306C4×SD16—24no—
307C2×#106C22×C1111yescharacteristic
308C2×#106C22×C1111yescharacteristic
309C2×#106C22×C1111yescharacteristic
310C2×#106C22×C1111yescharacteristic
311C2×#106C22×C1111yescharacteristic
312C2×C4⋊C8C22×C1111yescharacteristic
313C2×#103C22×C1111yescharacteristic
314C2×#103C22×C1111yescharacteristic
315C2×#103C22×C1111yescharacteristic
316C2×#102C22×C1111yescharacteristic
317C2×#102C22×C1111yescharacteristic
318C2×#102C22×C1111yescharacteristic
319C2×C4×C8C22×C1111yescharacteristic
320#396—21no—
321#393—21no—
322#390C22×C1111yescharacteristic
323#390C22×C1111yescharacteristic
324#389—21no—
325#389—21no—
326#389C22×C1111yescharacteristic
327#389C22×C1111yescharacteristic
328#389C22×C1111yescharacteristic
329#389C22×C1111yescharacteristic
330#385—21no—
331#384—21no—
332#384C22×C1111yescharacteristic
333C4×C4⋊C4—21no—
334C4×C4⋊C4C22×C1111yescharacteristic
335#340C22×C1111yescharacteristic
336#340C22×C1111yescharacteristic
337#340C22×C1111yescharacteristic
338#340C22×C1111yescharacteristic
339#336C22×C1111yescharacteristic
340#336C22×C1111yescharacteristic
341#336C22×C1111yescharacteristic
342#336C22×C1111yescharacteristic
343C22×C11—42no—
344C22×C11—42no—
345C22×C11—42no—
346C22×C11—81no—
347C22×C11—81no—
348C22×C11—81no—
349C22×C11—81no—
350C22×C11#52511yescharacteristic
351C22×C11D4211yescharacteristic
352C22×C11D4×Q811yescharacteristic
353C22×C11C22×SD1611yescharacteristic
354C22×C11#57511yescharacteristic
355C22×C11#57711yescharacteristic
356C22×C11#57711yescharacteristic
357C4×C11—22no—
358C4×C11—24no—
359C4×C11—22no—
360C4×C11—22no—
361C4×C11—41no—
362C4×C11—42no—
363C4×C11—41no—
364C4×C11—41no—
365C4×C11—42no—
366C4×C11—81no—
367C4×C11—81no—
368C4×C11—81no—
369C4×C11—81no—
370C4×C11C2×C22⋊Q811yescharacteristic
371C4×C11#53911yescharacteristic
372C4×C11#54711yescharacteristic
373C4×C11#55411yescharacteristic
374C22×Q8—21no—
375C22×Q8C23×C1111yescharacteristic
376C22×D4C23×C1111yescharacteristic
377C23×C4—21no—
378C2×SD16—22no—
379C2×SD16—22no—
380C2×SD16Q8×C1114yescomplemented
381C22×C8C23×C1111yescharacteristic
382C22×C8C23×C1111yescharacteristic
383C22×C8C23×C1111yescharacteristic
384C22×C8C23×C1111yescharacteristic
385C4⋊Q8—22no—
386C4⋊Q8—41no—
387C22⋊Q8—44no—
388C4×Q8—22no—
389C4×Q8—22no—
390C4×Q8—22no—
391C4×Q8—22no—
392C4×Q8—41no—
393C4×Q8—41no—
394C4×D4—22no—
395C4×D4—41no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4D4×C1111yescharacteristic
407C2×C4⋊C4D4×C1111yescharacteristic
408C2×C4⋊C4C23×C1111yescharacteristic
409C2×C4⋊C4C23×C1111yescharacteristic
410C2×C4⋊C4C23×C1111yescharacteristic
411C2×C4⋊C4C23×C1111yescharacteristic
412C2×C4⋊C4C23×C1111yescharacteristic
413C2×C4⋊C4C23×C1111yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C42—21no—
420C2×C42—21no—
421C2×C42—21no—
422C2×C42C23×C1111yescharacteristic
423C2×C42C23×C1111yescharacteristic
424C2×C42C23×C1111yescharacteristic
425#106—22no—
426#106—22no—
427#106—22no—
428#106—22no—
429#106—41no—
430C4⋊C8—22no—
431#103—22no—
432#103—22no—
433#103D4×C1114yes—
434#102—22no—
435#102—22no—
436#102—41no—
437C4×C8—22no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95D4×C1111yescharacteristic
443#95D4×C1111yescharacteristic
444C2×C11—82no—
445C2×C11#244911yescharacteristic
446C2×C11#310311yescharacteristic
447C2×C11#312511yescharacteristic
448C2×C11#327111yescharacteristic
449C2×C11D4×SD1611yescharacteristic
450C2×C11Q8×SD1611yescharacteristic
451C2×C11#338811yescharacteristic
452C24—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×Q8—81no—
459C2×Q8C2×D4×C1112yes—
460C2×Q8C2×Q8×C1112yes—
461C2×Q8C11×#4112yes—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4C2×Q8×C1112yes—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—81no—
478C22×C4C2×D4×C1111yescharacteristic
479C22×C4C2×D4×C1111yescharacteristic
480C22×C4C2×D4×C1111yescharacteristic
481C22×C4C2×D4×C1111yescharacteristic
482C22×C4C2×D4×C1111yescharacteristic
483C22×C4C2×D4×C1111yescharacteristic
484C22×C4C24×C1111yescharacteristic
485SD16—28no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8C2×D4×C1112yes—
497C2×C8C2×Q8×C1112yes—
498C4⋊C4—24no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—41no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—81no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4C11×SD1614yescomplemented
520C4⋊C4C2×D4×C1112yes—
521C4⋊C4C11×#4112yes—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—81no—
527C42—24no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—42no—
535C42—42no—
536C11#2637311yescharacteristic, direct product factor, Sylow
537C23—22no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23C22×D4×C1111yescharacteristic
545Q8—22no—
546Q8—22no—
547Q8—22no—
548Q8—84no—
549Q8C11×C22⋊Q814yescomplemented
550D4—22no—
551D4—22no—
552D4—41no—
553D4—41no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—84no—
591C2×C4C2×C11×SD1612yes—
592C2×C4C2×C11×SD1612yes—
593C2×C4C2×C11×SD1612yes—
594C2×C4C22×D4×C1111yescharacteristic
595C2×C4C22×Q8×C1111yescharacteristic
596C2×C4C2×C11×#4111yescharacteristic
597C2×C4C2×C11×#4111yescharacteristic
598C2×C4C11×H(5,𝔽2)11yescharacteristic
599C2×C4C11×2−1+411yescharacteristic
600C8—22no—
601C8—22no—
602C8—41no—
603C8—41no—
604C22—42no—
605C22—42no—
606C22—42no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22C11×#52511yescharacteristic
612C22D42×C1111yescharacteristic
613C22D4×Q8×C1111yescharacteristic
614C22C22×C11×SD1611yescharacteristic
615C22C11×#57511yescharacteristic
616C22C11×#57711yescharacteristic
617C22C11×#57711yescharacteristic
618C4—24no—
619C4—22no—
620C4—22no—
621C4—22no—
622C4—41no—
623C4—41no—
624C4—42no—
625C4—41no—
626C4—42no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×C11×C22⋊Q811yescharacteristic
632C4C11×#53911yescharacteristic
633C4C11×#54711yescharacteristic
634C4C11×#55411yescharacteristic
635C2—82no—
636C2C11×#244911yescharacteristic
637C2C11×#310311yescharacteristic
638C2C11×#312511yescharacteristic
639C2C11×#327111yescharacteristic
640C2D4×C11×SD1611yescharacteristic
641C2Q8×C11×SD1611yescharacteristic
642C2C11×#338811yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C22×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
1. C2×C11×#475C2semidirect
4. Q8×C11×C4⋊C4C2semidirect
6. C11×#2084C2semidirect
8. C11×#2058C2semidirect
9. C11×#1941C2semidirect
10. C11×#1916C2semidirect
13. C11×#1865C2semidirect
14. C11×#1865C2semidirect
67. C2×C11×SD16Q8semidirect
131. #26373C11direct (N × H)
199. C11×C4⋊C4SD16semidirect
216. C2×#475C2×C11semidirect
219. Q8×C4⋊C4C2×C11semidirect
221. #2084C2×C11semidirect
223. #2058C2×C11semidirect
224. #1941C2×C11semidirect
225. #1916C2×C11semidirect
228. #1865C2×C11semidirect
229. #1865C2×C11semidirect
243. Q8×C11C22⋊Q8semidirect
380. C2×SD16Q8×C11semidirect
519. C4⋊C4C11×SD16semidirect
536. C11#26373direct (N × H)
549. Q8C11×C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C2×C11×#4752
C2×C4×C11×SD162
C11×#24522
Q8×C11×C4⋊C42
C11×#20942
C11×#20842
C11×#20652
C11×#20582
C11×#19412
C11×#19162
C11×#18802
C11×#18652
C11×#18642
#2637311