Finite Group Databasebeta

← C11×#22402 #14599595

Subgroups — C11×#22402 #14599595

Order 2816.

1540 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#532C211yesmaximal, characteristic
2C2×C11×#436C211yesmaximal, characteristic, complemented
3C2×C8×D4×C11C211yesmaximal, characteristic, complemented
4C2×C11×#408C212yesmaximal, complemented
5C11×#1954C211yesmaximal, characteristic, complemented
6C11×#1954C211yesmaximal, characteristic, complemented
7C11×#1870C212yesmaximal, complemented
8C11×#1869C212yesmaximal, complemented
9C11×#1797C211yesmaximal, characteristic, complemented
10C11×#1780C212yesmaximal, complemented
11C4×C11×C22⋊C8C211yesmaximal, characteristic, complemented
12C22×C11×#41C2212yes—
13C22×C11×M16C2212yes—
14C23×C8×C11C2212yes—
15C11×#532—24no—
16C11×#532—24no—
17C2×C11×C4⋊Q8C411yescharacteristic
18C2×C11×#127C411yescharacteristic
19C2×C11×#124C412yes—
20C2×C11×#121C411yescharacteristic
21C2×C11×#121C411yescharacteristic
22C2×C11×#121C412yes—
23C2×C4×D4×C11C2212yes—
24C2×C4×D4×C11C2211yescharacteristic
25C2×C4×D4×C11C2211yescharacteristic
26C22×C42×C11C2211yescharacteristic
27C11×#436—24no—
28C8×D4×C11—24no—
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×C4⋊C8C2211yescharacteristic
31C11×#408—28no—
32C2×C11×C22⋊C8C2212yes—
33C2×C11×C22⋊C8C2212yes—
34C2×C11×C22⋊C8C2212yes—
35C2×C11×C22⋊C8C2212yes—
36C2×C11×C22⋊C8C2211yescharacteristic
37C2×C11×C22⋊C8C2212yes—
38C2×C11×C22⋊C8C2212yes—
39C2×C11×C22⋊C8C2212yes—
40C2×C11×C22⋊C8C2211yescharacteristic
41C2×C4×C8×C11C2211yescharacteristic
42C2×C4×C8×C11C2211yescharacteristic
43C11×#336C2211yescharacteristic
44C11×#336C2212yes—
45C11×#336C2211yescharacteristic
46C2×C11×#41—24no—
47C2×C11×#41—24no—
48C2×C11×#41—24no—
49C2×C11×#41—24no—
50C2×C11×#41—42no—
51C2×C11×#41—42no—
52C22×Q8×C11C2×C412yes—
53C22×D4×C11C2×C411yescharacteristic
54C22×D4×C11C2×C412yes—
55C22×D4×C11C2×C412yes—
56C22×D4×C11C2×C412yes—
57C22×D4×C11C2×C412yes—
58C22×D4×C11C2×C411yescharacteristic
59C23×C4×C11C2×C411yescharacteristic
60C23×C4×C11C2×C411yescharacteristic
61C23×C4×C11C2312yes—
62C23×C4×C11C2312yes—
63C23×C4×C11C2311yescharacteristic
64C2×C11×M16—24no—
65C2×C11×M16—24no—
66C2×C11×M16—42no—
67C22×C8×C11—24no—
68C22×C8×C11—24no—
69C22×C8×C11—42no—
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2312yes—
73C22×C8×C11C2312yes—
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C11×C4⋊Q8—24no—
77C11×#127—24no—
78C11×#124—28no—
79C11×#121—24no—
80C11×#121—24no—
81C11×#121—28no—
82C4×D4×C11—24no—
83C4×D4×C11—24no—
84C4×D4×C11—22no—
85C4×D4×C11—22no—
86C4×D4×C11D414yes—
87C4×D4×C11D414yes—
88C2×C11×C4⋊C4C2×C411yescharacteristic
89C2×C11×C4⋊C4C2×C412yes—
90C2×C11×C4⋊C4C2×C411yescharacteristic
91C2×C11×C22⋊C4C2×C412yes—
92C2×C11×C22⋊C4C2×C412yes—
93C2×C11×C22⋊C4C2×C412yes—
94C2×C11×C22⋊C4C2×C412yes—
95C2×C42×C11—22no—
96C2×C42×C11—22no—
97C2×C42×C11C2×C411yescharacteristic
98C2×C42×C11C2×C411yescharacteristic
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C11×C4⋊C8—22no—
102C11×C4⋊C8—22no—
103C11×C22⋊C8—24no—
104C11×C22⋊C8—24no—
105C11×C22⋊C8—24no—
106C11×C22⋊C8—22no—
107C11×C22⋊C8—24no—
108C11×C22⋊C8—24no—
109C11×C22⋊C8—42no—
110C11×C22⋊C8—42no—
111C11×C22⋊C8D414yescomplemented
112C4×C8×C11—22no—
113C4×C8×C11—22no—
114#22402C1111yesmaximal, characteristic, direct product factor, Sylow
115C24×C11C22×C412yes—
116C24×C11C22×C412yes—
117C24×C11C22×C411yescharacteristic
118C11×#41—48no—
119C11×#41—48no—
120C11×#41—48no—
121C11×#41—48no—
122C2×Q8×C11—24no—
123C2×Q8×C11—24no—
124C2×Q8×C11—42no—
125C2×D4×C11—24no—
126C2×D4×C11—24no—
127C2×D4×C11—24no—
128C2×D4×C11—24no—
129C2×D4×C11—24no—
130C2×D4×C11—22no—
131C2×D4×C11—24no—
132C2×D4×C11—24no—
133C2×D4×C11—22no—
134C2×D4×C11—22no—
135C2×D4×C11—24no—
136C2×D4×C11—22no—
137C2×D4×C11—22no—
138C2×D4×C11—42no—
139C2×D4×C11—42no—
140C2×D4×C11—42no—
141C2×D4×C11—42no—
142C2×D4×C11C22⋊C414yes—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11—22no—
162C22×C4×C11—41no—
163C22×C4×C11C22×C411yescharacteristic
164C22×C4×C11C22×C412yes—
165C22×C4×C11C22×C411yescharacteristic
166C22×C4×C11C22×C412yes—
167C22×C4×C11C22×C411yescharacteristic
168C22×C4×C11C22×C411yescharacteristic
169C22×C4×C11C22×C411yescharacteristic
170C22×C4×C11C2×D414yes—
171C22×C4×C11C2×D414yes—
172C22×C4×C11C2×D412yes—
173C22×C4×C11#4112yes—
174C22×C4×C11C2411yescharacteristic
175C11×M16—48no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—22no—
181C2×C8×C11—22no—
182C2×C8×C11—22no—
183C2×C8×C11—22no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—22no—
191C2×C8×C11—22no—
192C2×C8×C11—48no—
193C2×C8×C11C2×D412yes—
194C2×C8×C11C2×D412yes—
195C11×C4⋊C4—24no—
196C11×C4⋊C4—22no—
197C11×C4⋊C4C22⋊C414yes—
198C11×C22⋊C4—24no—
199C11×C22⋊C4—24no—
200C11×C22⋊C4—24no—
201C11×C22⋊C4C22⋊C418yes—
202C42×C11—22no—
203C42×C11—22no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11C2×D412yes—
207C42×C11C2×D412yes—
208C2×#532C2×C1111yescharacteristic
209C2×#436C2×C1111yescharacteristic, complemented
210C2×C8×D4C2×C1111yescharacteristic, complemented
211C2×#408C2×C1112yescomplemented
212#1954C2×C1111yescharacteristic, complemented
213#1954C2×C1111yescharacteristic, complemented
214#1870C2×C1112yescomplemented
215#1869C2×C1112yescomplemented
216#1797C2×C1111yescharacteristic, complemented
217#1780C2×C1112yescomplemented
218C4×C22⋊C8C2×C1111yescharacteristic, complemented
219C23×C11—21no—
220C23×C11—22no—
221C23×C11—21no—
222C23×C11—22no—
223C23×C11—21no—
224C23×C11—21no—
225C23×C11—21no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—22no—
229C23×C11—21no—
230C23×C11—22no—
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11C2×C22⋊C414yes—
239C23×C11C4×D412yes—
240C23×C11C23×C411yescharacteristic
241Q8×C11—48no—
242D4×C11—28no—
243D4×C11—48no—
244D4×C11—48no—
245D4×C11—48no—
246D4×C11—48no—
247D4×C11—44no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—22no—
251C2×C4×C11—21no—
252C2×C4×C11—22no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—24no—
257C2×C4×C11—24no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—44no—
271C2×C4×C11—42no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—44no—
276C2×C4×C11C2×C22⋊C412yes—
277C2×C4×C11C2×C22⋊C414yes—
278C2×C4×C11C2×C22⋊C412yes—
279C2×C4×C11C4×D412yes—
280C2×C4×C11#13112yes—
281C2×C4×C11#13112yes—
282C2×C4×C11#13112yes—
283C2×C4×C11C22×D411yescharacteristic
284C2×C4×C11C22×D411yescharacteristic
285C2×C4×C11C22×D411yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C8×C11—22no—
290C8×C11—22no—
291C8×C11—42no—
292C8×C11—42no—
293C8×C11—41no—
294C8×C11—41no—
295C22×#41C22×C1112yes—
296C22×M16C22×C1112yes—
297C23×C8C22×C1112yes—
298#532—24no—
299#532—24no—
300C2×C4⋊Q8C4×C1111yescharacteristic
301C2×#127C4×C1111yescharacteristic
302C2×#124C4×C1112yes—
303C2×#121C4×C1111yescharacteristic
304C2×#121C4×C1111yescharacteristic
305C2×#121C4×C1112yes—
306C2×C4×D4C22×C1112yes—
307C2×C4×D4C22×C1111yescharacteristic
308C2×C4×D4C22×C1111yescharacteristic
309C22×C42C22×C1111yescharacteristic
310#436—24no—
311C8×D4—24no—
312C2×C4⋊C8C22×C1111yescharacteristic
313C2×C4⋊C8C22×C1111yescharacteristic
314#408—28no—
315C2×C22⋊C8C22×C1112yes—
316C2×C22⋊C8C22×C1112yes—
317C2×C22⋊C8C22×C1112yes—
318C2×C22⋊C8C22×C1112yes—
319C2×C22⋊C8C22×C1112yes—
320C2×C22⋊C8C22×C1111yescharacteristic
321C2×C22⋊C8C22×C1112yes—
322C2×C22⋊C8C22×C1112yes—
323C2×C22⋊C8C22×C1111yescharacteristic
324C2×C4×C8C22×C1111yescharacteristic
325C2×C4×C8C22×C1111yescharacteristic
326#336C22×C1112yes—
327#336C22×C1111yescharacteristic
328#336C22×C1111yescharacteristic
329C22×C11—22no—
330C22×C11—24no—
331C22×C11—24no—
332C22×C11—24no—
333C22×C11—22no—
334C22×C11—22no—
335C22×C11—41no—
336C22×C11—41no—
337C22×C11—42no—
338C22×C11—42no—
339C22×C11—41no—
340C22×C11—42no—
341C22×C11—41no—
342C22×C11—42no—
343C22×C11—42no—
344C22×C11—42no—
345C22×C11—42no—
346C22×C11—42no—
347C22×C11—42no—
348C22×C11—42no—
349C22×C11—42no—
350C22×C11C22×C22⋊C411yescharacteristic
351C22×C11C2×C4×D411yescharacteristic
352C22×C11#51811yescharacteristic
353C22×C11C2×#13111yescharacteristic
354C22×C11C2×#13111yescharacteristic
355C22×C11C2×#13111yescharacteristic
356C22×C11#56811yescharacteristic
357C4×C11—24no—
358C4×C11—22no—
359C4×C11—22no—
360C4×C11—22no—
361C4×C11—42no—
362C4×C11—41no—
363C4×C11#40814yescomplemented
364C4×C11D4211yescharacteristic
365C4×C11D4211yescharacteristic
366C4×C11#54611yescharacteristic
367C4×C11#54611yescharacteristic
368C2×#41—24no—
369C2×#41—24no—
370C2×#41—24no—
371C2×#41—24no—
372C2×#41—42no—
373C2×#41—42no—
374C22×Q8C2×C4×C1112yes—
375C22×D4C2×C4×C1111yescharacteristic
376C22×D4C2×C4×C1112yes—
377C22×D4C2×C4×C1112yes—
378C22×D4C2×C4×C1112yes—
379C22×D4C2×C4×C1112yes—
380C22×D4C2×C4×C1111yescharacteristic
381C23×C4C2×C4×C1111yescharacteristic
382C23×C4C2×C4×C1111yescharacteristic
383C23×C4C23×C1112yes—
384C23×C4C23×C1112yes—
385C23×C4C23×C1111yescharacteristic
386C2×M16—24no—
387C2×M16—24no—
388C2×M16—42no—
389C22×C8—24no—
390C22×C8—24no—
391C22×C8—42no—
392C22×C8C23×C1112yes—
393C22×C8C23×C1112yes—
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397C22×C8C23×C1111yescharacteristic
398C4⋊Q8—24no—
399#127—24no—
400#124—28no—
401#121—24no—
402#121—24no—
403#121—28no—
404C4×D4—24no—
405C4×D4—24no—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4D4×C1114yes—
409C4×D4D4×C1114yes—
410C2×C4⋊C4C2×C4×C1111yescharacteristic
411C2×C4⋊C4C2×C4×C1112yes—
412C2×C4⋊C4C2×C4×C1111yescharacteristic
413C2×C22⋊C4C2×C4×C1112yes—
414C2×C22⋊C4C2×C4×C1112yes—
415C2×C22⋊C4C2×C4×C1112yes—
416C2×C22⋊C4C2×C4×C1112yes—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42C2×C4×C1111yescharacteristic
420C2×C42C2×C4×C1111yescharacteristic
421C2×C42C23×C1111yescharacteristic
422C2×C42C23×C1111yescharacteristic
423C4⋊C8—22no—
424C4⋊C8—22no—
425C22⋊C8—24no—
426C22⋊C8—24no—
427C22⋊C8—24no—
428C22⋊C8—22no—
429C22⋊C8—24no—
430C22⋊C8—24no—
431C22⋊C8—42no—
432C22⋊C8—42no—
433C22⋊C8D4×C1114yescomplemented
434C4×C8—22no—
435C4×C8—22no—
436C2×C11—42no—
437C2×C11—44no—
438C2×C11—82no—
439C2×C11D4×C22⋊C411yescharacteristic
440C2×C11C2×#40811yescharacteristic
441C2×C11#288011yescharacteristic
442C2×C11#293111yescharacteristic
443C2×C11#293511yescharacteristic
444C2×C11#297911yescharacteristic
445C2×C11#298111yescharacteristic
446C24C22×C4×C1112yes—
447C24C22×C4×C1112yes—
448C24C22×C4×C1111yescharacteristic
449#41—48no—
450#41—48no—
451#41—48no—
452#41—48no—
453C2×Q8—24no—
454C2×Q8—24no—
455C2×Q8—42no—
456C2×D4—24no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—24no—
461C2×D4—22no—
462C2×D4—24no—
463C2×D4—24no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—24no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4C11×C22⋊C414yes—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—41no—
494C22×C4C22×C4×C1111yescharacteristic
495C22×C4C22×C4×C1112yes—
496C22×C4C22×C4×C1111yescharacteristic
497C22×C4C22×C4×C1112yes—
498C22×C4C22×C4×C1111yescharacteristic
499C22×C4C22×C4×C1111yescharacteristic
500C22×C4C22×C4×C1111yescharacteristic
501C22×C4C2×D4×C1114yes—
502C22×C4C2×D4×C1114yes—
503C22×C4C2×D4×C1112yes—
504C22×C4C11×#4112yes—
505C22×C4C24×C1111yescharacteristic
506M16—48no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—48no—
524C2×C8C2×D4×C1112yes—
525C2×C8C2×D4×C1112yes—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4C11×C22⋊C414yes—
529C22⋊C4—24no—
530C22⋊C4—24no—
531C22⋊C4—24no—
532C22⋊C4C11×C22⋊C418yes—
533C42—22no—
534C42—22no—
535C42—21no—
536C42—21no—
537C42C2×D4×C1112yes—
538C42C2×D4×C1112yes—
539C11#2240211yescharacteristic, direct product factor, Sylow
540C23—21no—
541C23—22no—
542C23—21no—
543C23—22no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—21no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23C2×C11×C22⋊C414yes—
560C23C4×D4×C1112yes—
561C23C23×C4×C1111yescharacteristic
562Q8—48no—
563D4—28no—
564D4—48no—
565D4—48no—
566D4—48no—
567D4—48no—
568D4—44no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—44no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—44no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4C2×C11×C22⋊C412yes—
598C2×C4C2×C11×C22⋊C414yes—
599C2×C4C2×C11×C22⋊C412yes—
600C2×C4C4×D4×C1112yes—
601C2×C4C11×#13112yes—
602C2×C4C11×#13112yes—
603C2×C4C11×#13112yes—
604C2×C4C22×D4×C1111yescharacteristic
605C2×C4C22×D4×C1111yescharacteristic
606C2×C4C22×D4×C1111yescharacteristic
607C2×C4C2×C11×#4111yescharacteristic
608C2×C4C11×H(5,𝔽2)11yescharacteristic
609C2×C4C11×H(5,𝔽2)11yescharacteristic
610C8—22no—
611C8—22no—
612C8—42no—
613C8—42no—
614C8—41no—
615C8—41no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—24no—
620C22—24no—
621C22—24no—
622C22—42no—
623C22—42no—
624C22—41no—
625C22—42no—
626C22—41no—
627C22—42no—
628C22—41no—
629C22—41no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22C22×C11×C22⋊C411yescharacteristic
638C22C2×C4×D4×C1111yescharacteristic
639C22C11×#51811yescharacteristic
640C22C2×C11×#13111yescharacteristic
641C22C2×C11×#13111yescharacteristic
642C22C2×C11×#13111yescharacteristic
643C22C11×#56811yescharacteristic
644C4—24no—
645C4—22no—
646C4—22no—
647C4—22no—
648C4—42no—
649C4—41no—
650C4C11×#40814yescomplemented
651C4D42×C1111yescharacteristic
652C4D42×C1111yescharacteristic
653C4C11×#54611yescharacteristic
654C4C11×#54611yescharacteristic
655C2—42no—
656C2—44no—
657C2—82no—
658C2D4×C11×C22⋊C411yescharacteristic
659C2C2×C11×#40811yescharacteristic
660C2C11×#288011yescharacteristic
661C2C11×#293111yescharacteristic
662C2C11×#293511yescharacteristic
663C2C11×#297911yescharacteristic
664C2C11×#298111yescharacteristic
subgroupG/H
centerC22×C4×C11C24
commutatorC23C23×C4×C11
Frattini, cosocleC22×C4C24×C11
socleC23×C11C23×C4
prime radicalC2×C11×#532C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#436C2semidirect
3. C2×C8×D4×C11C2semidirect
4. C2×C11×#408C2semidirect
5. C11×#1954C2semidirect
6. C11×#1954C2semidirect
7. C11×#1870C2semidirect
8. C11×#1869C2semidirect
9. C11×#1797C2semidirect
10. C11×#1780C2semidirect
11. C4×C11×C22⋊C8C2semidirect
111. C11×C22⋊C8D4semidirect
114. #22402C11direct (N × H)
209. C2×#436C2×C11semidirect
210. C2×C8×D4C2×C11semidirect
211. C2×#408C2×C11semidirect
212. #1954C2×C11semidirect
213. #1954C2×C11semidirect
214. #1870C2×C11semidirect
215. #1869C2×C11semidirect
216. #1797C2×C11semidirect
217. #1780C2×C11semidirect
218. C4×C22⋊C8C2×C11semidirect
363. C4×C11#408semidirect
433. C22⋊C8D4×C11semidirect
539. C11#22402direct (N × H)
650. C4C11×#408semidirect

Maximal subgroups

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

subgroupindex
C2×C11×#5322
C2×C11×#4362
C2×C8×D4×C112
C2×C11×#4082
C11×#19542
C11×#18702
C11×#18692
C11×#17972
C11×#17802
C4×C11×C22⋊C82
#2240211