Finite Group Databasebeta

← C2×C11×#3460 #14639872

Subgroups — C2×C11×#3460 #14639872

Order 2816.

7994 conjugacy classes of subgroups.

The subgroup lattice has 596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3460C2132yesmaximal, direct product factor
2C2×C11×#544C211yesmaximal, characteristic, complemented
3C2×C11×#542C214yesmaximal, complemented
4C2×C11×#540C214yesmaximal, complemented
5C2×C11×#538C214yesmaximal, complemented
6C2×C11×#537C211yesmaximal, characteristic, complemented
7C2×C11×#535C212yesmaximal, complemented
8C2×C11×#532C214yesmaximal, complemented
9C2×C11×#529C214yesmaximal, complemented
10C2×C11×#525C214yesmaximal, complemented
11C2×C4×C11×#41C212yesmaximal, complemented
12C22×C4×D4×C11C211yesmaximal, characteristic, complemented
13C22×C11×#41C2212yes—
14C22×C11×#41C2214yescomplemented
15C23×D4×C11C2211yescharacteristic
16C24×C4×C11C2212yes—
17C11×#544C22116yescomplemented
18C11×#542C22164yescomplemented
19C11×#540C22164yescomplemented
20C11×#538C22164yescomplemented
21C11×#537C22116yescomplemented
22C11×#535C22132yescomplemented
23C11×#532C22164yescomplemented
24C2×C11×C4⋊Q8C2214yescomplemented
25C2×C11×#127C2214yes—
26C11×#529C22164yescomplemented
27C2×C11×#126C2218yescomplemented
28C2×C11×#125C2214yescomplemented
29C2×C11×#124C2214yes—
30C2×C11×#124C2218yescomplemented
31C11×#525C22164yescomplemented
32C2×C11×#123C2218yescomplemented
33C2×C11×#123C2218yescomplemented
34C2×C11×C22⋊Q8C2214yes—
35C2×C11×C22⋊Q8C2214yescomplemented
36C2×C11×C22⋊Q8C2214yescomplemented
37C2×C11×#121C2214yes—
38C2×C11×#121C2214yes—
39C2×C11×#121C2214yes—
40C2×C11×#121C2214yescomplemented
41C2×C11×#121C2214yescomplemented
42C2×C11×#121C2218yescomplemented
43C2×C11×#120C2218yes—
44C4×C11×#41C22132yescomplemented
45C2×C4×Q8×C11C2212yescomplemented
46C2×C4×Q8×C11C2212yescomplemented
47C2×C4×D4×C11C2214yes—
48C2×C4×D4×C11C2214yes—
49C2×C4×D4×C11C2214yes—
50C2×C4×D4×C11C2214yes—
51C2×C4×D4×C11C22116yescomplemented
52C2×C4×D4×C11C2212yescomplemented
53C2×C4×D4×C11C2212yescomplemented
54C2×C4×D4×C11C2218yescomplemented
55C2×C11×#117C2212yes—
56C2×C11×#117C2214yescomplemented
57C2×C11×#117C2214yescomplemented
58C22×C11×C4⋊C4C2211yescharacteristic
59C22×C11×C22⋊C4C2212yes—
60C22×C42×C11C2211yescharacteristic
61C22×C42×C11C2214yescomplemented
62C25×C11C2312yes—
63C2×C11×#41—216no—
64C2×C11×#41—416no—
65C2×C11×#41C23116yes—
66C2×C11×#41C23132yescomplemented
67C22×Q8×C11C2312yes—
68C22×Q8×C11C2314yes—
69C22×D4×C11—28no—
70C22×D4×C11C2314yes—
71C22×D4×C11C2314yes—
72C22×D4×C11C2312yes—
73C22×D4×C11C2318yes—
74C22×D4×C11C2318yes—
75C22×D4×C11C2318yes—
76C22×D4×C11C2314yes—
77C23×C4×C11—48no—
78C23×C4×C11C2314yes—
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2314yes—
81C23×C4×C11C2314yes—
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2314yes—
84C23×C4×C11C2312yes—
85C23×C4×C11C2314yes—
86C23×C4×C11C23116yes—
87C23×C4×C11C2311yescharacteristic
88C11×C4⋊Q8C23132yescomplemented
89C11×#127C23132yes—
90C11×#126C23164yescomplemented
91C11×#125C23132yescomplemented
92C11×#124C23132yes—
93C11×#124C23164yescomplemented
94C11×#123C23164yescomplemented
95C11×#123C23164yescomplemented
96C11×C22⋊Q8C23132yes—
97C11×C22⋊Q8C23132yescomplemented
98C11×C22⋊Q8C23132yescomplemented
99C11×#121C23132yes—
100C11×#121C23132yes—
101C11×#121C23132yes—
102C11×#121C23132yescomplemented
103C11×#121C23132yescomplemented
104C11×#121C23164yescomplemented
105C11×#120C23164yes—
106C4×Q8×C11C23116yescomplemented
107C4×Q8×C11C23116yescomplemented
108C4×D4×C11C23132yes—
109C4×D4×C11C23132yes—
110C4×D4×C11C23132yes—
111C4×D4×C11C23132yes—
112C4×D4×C11C23116yescomplemented
113C4×D4×C11C23116yescomplemented
114C4×D4×C11C23164yescomplemented
115C11×#117C23116yes—
116C11×#117C23132yescomplemented
117C11×#117C23132yescomplemented
118C2×C11×C4⋊C4C2314yes—
119C2×C11×C4⋊C4C2318yes—
120C2×C11×C4⋊C4C2312yes—
121C2×C11×C4⋊C4C2312yes—
122C2×C11×C4⋊C4C2314yes—
123C2×C11×C4⋊C4C2314yes—
124C2×C11×C4⋊C4C2314yes—
125C2×C11×C4⋊C4C2314yes—
126C2×C11×C4⋊C4C2318yes—
127C2×C11×C22⋊C4C2318yes—
128C2×C11×C22⋊C4C23116yes—
129C2×C11×C22⋊C4C2314yes—
130C2×C11×C22⋊C4C2314yes—
131C2×C11×C22⋊C4C2314yes—
132C2×C11×C22⋊C4C2318yes—
133C2×C11×C22⋊C4C2318yes—
134C2×C11×C22⋊C4C2318yes—
135C2×C42×C11C2312yes—
136C2×C42×C11C2318yes—
137C2×C42×C11C2314yes—
138C2×C42×C11C2314yes—
139C2×C42×C11C2312yes—
140C2×C42×C11C2314yes—
141C2×C42×C11C23132yescomplemented
142C2×#3460C1111yesmaximal, characteristic, direct product factor, Sylow
143C24×C11—28no—
144C24×C11—44no—
145C24×C11—44no—
146C24×C11C2414yes—
147C24×C11C2414yes—
148C24×C11C2411yescharacteristic
149C24×C11C2418yes—
150C11×#41—264no—
151C11×#41—464no—
152C2×Q8×C11—28no—
153C2×Q8×C11—48no—
154C2×Q8×C11C2418yes—
155C2×Q8×C11C24116yes—
156C2×D4×C11—216no—
157C2×D4×C11—216no—
158C2×D4×C11—28no—
159C2×D4×C11—232no—
160C2×D4×C11—416no—
161C2×D4×C11—48no—
162C2×D4×C11—416no—
163C2×D4×C11C24116yes—
164C2×D4×C11C24116yes—
165C2×D4×C11C2418yes—
166C2×D4×C11C24132yes—
167C2×D4×C11C24132yes—
168C2×D4×C11C24116yes—
169C22×C4×C11—216no—
170C22×C4×C11—24no—
171C22×C4×C11—216no—
172C22×C4×C11—216no—
173C22×C4×C11—432no—
174C22×C4×C11—48no—
175C22×C4×C11—44no—
176C22×C4×C11—42no—
177C22×C4×C11—48no—
178C22×C4×C11#4118yescomplemented
179C22×C4×C11C2412yes—
180C22×C4×C11C2414yes—
181C22×C4×C11C2414yes—
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2414yes—
184C22×C4×C11C2414yes—
185C22×C4×C11C24116yes—
186C22×C4×C11C24116yes—
187C22×C4×C11C2414yes—
188C22×C4×C11C24116yes—
189C22×C4×C11C2414yes—
190C22×C4×C11C24116yes—
191C22×C4×C11C2418yes—
192C22×C4×C11C24116yes—
193C22×C4×C11C2412yes—
194C22×C4×C11C2414yes—
195C22×C4×C11C2411yescharacteristic
196C11×C4⋊C4C24116yes—
197C11×C4⋊C4C2418yes—
198C11×C4⋊C4C2418yes—
199C11×C4⋊C4C24116yes—
200C11×C4⋊C4C24116yes—
201C11×C4⋊C4C24116yes—
202C11×C4⋊C4C24116yes—
203C11×C4⋊C4C24132yes—
204C11×C22⋊C4C24132yes—
205C11×C22⋊C4C24116yes—
206C11×C22⋊C4C24116yes—
207C11×C22⋊C4C24116yes—
208C11×C22⋊C4C24132yes—
209C11×C22⋊C4C24132yes—
210C11×C22⋊C4C24132yes—
211C42×C11C2418yes—
212C42×C11C2418yes—
213C42×C11C24116yes—
214C42×C11C24116yes—
215C42×C11C24116yes—
216#3460C2×C11132yesdirect product factor
217C2×#544C2×C1111yescharacteristic, complemented
218C2×#542C2×C1114yescomplemented
219C2×#540C2×C1114yescomplemented
220C2×#538C2×C1114yescomplemented
221C2×#537C2×C1111yescharacteristic, complemented
222C2×#535C2×C1112yescomplemented
223C2×#532C2×C1114yescomplemented
224C2×#529C2×C1114yescomplemented
225C2×#525C2×C1114yescomplemented
226C2×C4×#41C2×C1112yescomplemented
227C22×C4×D4C2×C1111yescharacteristic, complemented
228C23×C11—22no—
229C23×C11—22no—
230C23×C11—28no—
231C23×C11—216no—
232C23×C11—28no—
233C23×C11—28no—
234C23×C11—28no—
235C23×C11—28no—
236C23×C11—28no—
237C23×C11—48no—
238C23×C11—48no—
239C23×C11—432no—
240C23×C11C2×#4114yes—
241C23×C11C2518yes—
242C23×C11C2518yes—
243C23×C11C2512yes—
244C23×C11C2511yescharacteristic
245Q8×C11—216no—
246Q8×C11—416no—
247D4×C11—232no—
248D4×C11—232no—
249D4×C11—216no—
250D4×C11—432no—
251D4×C11—416no—
252D4×C11—432no—
253C2×C4×C11—28no—
254C2×C4×C11—22no—
255C2×C4×C11—28no—
256C2×C4×C11—28no—
257C2×C4×C11—24no—
258C2×C4×C11—28no—
259C2×C4×C11—232no—
260C2×C4×C11—28no—
261C2×C4×C11—232no—
262C2×C4×C11—232no—
263C2×C4×C11—416no—
264C2×C4×C11—48no—
265C2×C4×C11—44no—
266C2×C4×C11—416no—
267C2×C4×C11C2×#4118yes—
268C2×C4×C11C2×#41116yescomplemented
269C2×C4×C11H(5,𝔽2)14yes—
270C2×C4×C11C2514yes—
271C2×C4×C11C2518yes—
272C2×C4×C11C2518yes—
273C2×C4×C11C2512yes—
274C2×C4×C11C2518yes—
275C2×C4×C11C2518yes—
276C2×C4×C11C2514yes—
277C2×C4×C11C2512yes—
278C22×#41C22×C1112yes—
279C22×#41C22×C1114yescomplemented
280C23×D4C22×C1111yescharacteristic
281C24×C4C22×C1112yes—
282#544C22×C11116yescomplemented
283#542C22×C11164yescomplemented
284#540C22×C11164yescomplemented
285#538C22×C11164yescomplemented
286#537C22×C11116yescomplemented
287#535C22×C11132yescomplemented
288#532C22×C11164yescomplemented
289C2×C4⋊Q8C22×C1114yescomplemented
290C2×#127C22×C1114yes—
291#529C22×C11164yescomplemented
292C2×#126C22×C1118yescomplemented
293C2×#125C22×C1114yescomplemented
294C2×#124C22×C1114yes—
295C2×#124C22×C1118yescomplemented
296#525C22×C11164yescomplemented
297C2×#123C22×C1118yescomplemented
298C2×#123C22×C1118yescomplemented
299C2×C22⋊Q8C22×C1114yes—
300C2×C22⋊Q8C22×C1114yescomplemented
301C2×C22⋊Q8C22×C1114yescomplemented
302C2×#121C22×C1114yes—
303C2×#121C22×C1114yes—
304C2×#121C22×C1114yes—
305C2×#121C22×C1114yescomplemented
306C2×#121C22×C1114yescomplemented
307C2×#121C22×C1118yescomplemented
308C2×#120C22×C1118yes—
309C4×#41C22×C11132yescomplemented
310C2×C4×Q8C22×C1112yescomplemented
311C2×C4×Q8C22×C1112yescomplemented
312C2×C4×D4C22×C1114yes—
313C2×C4×D4C22×C1114yes—
314C2×C4×D4C22×C1114yes—
315C2×C4×D4C22×C1114yes—
316C2×C4×D4C22×C11116yescomplemented
317C2×C4×D4C22×C1112yescomplemented
318C2×C4×D4C22×C1112yescomplemented
319C2×C4×D4C22×C1118yescomplemented
320C2×#117C22×C1112yes—
321C2×#117C22×C1114yescomplemented
322C2×#117C22×C1114yescomplemented
323C22×C4⋊C4C22×C1111yescharacteristic
324C22×C22⋊C4C22×C1112yes—
325C22×C42C22×C1111yescharacteristic
326C22×C42C22×C1114yescomplemented
327C22×C11—22no—
328C22×C11—22no—
329C22×C11—28no—
330C22×C11—28no—
331C22×C11—28no—
332C22×C11—28no—
333C22×C11—28no—
334C22×C11—28no—
335C22×C11—28no—
336C22×C11—432no—
337C22×C11—416no—
338C22×C11—416no—
339C22×C11C22×#4114yes—
340C22×C11C22×#4112yes—
341C22×C11C2×H(5,𝔽2)12yes—
342C22×C11#58512yes—
343C22×C11C2611yescharacteristic
344C4×C11—28no—
345C4×C11—22no—
346C4×C11—28no—
347C4×C11—28no—
348C4×C11—24no—
349C4×C11—28no—
350C4×C11C22×#4118yes—
351C4×C11C2×H(5,𝔽2)14yes—
352C25C23×C1112yes—
353C2×#41—216no—
354C2×#41—416no—
355C2×#41C23×C11116yes—
356C2×#41C23×C11132yescomplemented
357C22×Q8C23×C1112yes—
358C22×Q8C23×C1114yes—
359C22×D4—28no—
360C22×D4C23×C1114yes—
361C22×D4C23×C1114yes—
362C22×D4C23×C1112yes—
363C22×D4C23×C1118yes—
364C22×D4C23×C1118yes—
365C22×D4C23×C1118yes—
366C22×D4C23×C1114yes—
367C23×C4—48no—
368C23×C4C23×C1114yes—
369C23×C4C23×C1114yes—
370C23×C4C23×C1111yescharacteristic
371C23×C4C23×C1114yes—
372C23×C4C23×C1111yescharacteristic
373C23×C4C23×C1112yes—
374C23×C4C23×C1114yes—
375C23×C4C23×C1114yes—
376C23×C4C23×C11116yes—
377C23×C4C23×C1111yescharacteristic
378C4⋊Q8C23×C11132yescomplemented
379#127C23×C11132yes—
380#126C23×C11164yescomplemented
381#125C23×C11132yescomplemented
382#124C23×C11132yes—
383#124C23×C11164yescomplemented
384#123C23×C11164yescomplemented
385#123C23×C11164yescomplemented
386C22⋊Q8C23×C11132yes—
387C22⋊Q8C23×C11132yescomplemented
388C22⋊Q8C23×C11132yescomplemented
389#121C23×C11132yes—
390#121C23×C11132yes—
391#121C23×C11132yes—
392#121C23×C11132yescomplemented
393#121C23×C11132yescomplemented
394#121C23×C11164yescomplemented
395#120C23×C11164yes—
396C4×Q8C23×C11116yescomplemented
397C4×Q8C23×C11116yescomplemented
398C4×D4C23×C11132yes—
399C4×D4C23×C11132yes—
400C4×D4C23×C11132yes—
401C4×D4C23×C11132yes—
402C4×D4C23×C11116yescomplemented
403C4×D4C23×C11116yescomplemented
404C4×D4C23×C11164yescomplemented
405#117C23×C11116yes—
406#117C23×C11132yescomplemented
407#117C23×C11132yescomplemented
408C2×C4⋊C4C23×C1114yes—
409C2×C4⋊C4C23×C1118yes—
410C2×C4⋊C4C23×C1112yes—
411C2×C4⋊C4C23×C1112yes—
412C2×C4⋊C4C23×C1114yes—
413C2×C4⋊C4C23×C1114yes—
414C2×C4⋊C4C23×C1114yes—
415C2×C4⋊C4C23×C1114yes—
416C2×C4⋊C4C23×C1118yes—
417C2×C22⋊C4C23×C1118yes—
418C2×C22⋊C4C23×C11116yes—
419C2×C22⋊C4C23×C1114yes—
420C2×C22⋊C4C23×C1114yes—
421C2×C22⋊C4C23×C1114yes—
422C2×C22⋊C4C23×C1118yes—
423C2×C22⋊C4C23×C1118yes—
424C2×C22⋊C4C23×C1118yes—
425C2×C42C23×C1114yes—
426C2×C42C23×C1112yes—
427C2×C42C23×C1114yes—
428C2×C42C23×C1112yes—
429C2×C42C23×C1114yes—
430C2×C42C23×C1118yes—
431C2×C42C23×C11132yescomplemented
432C2×C11—24no—
433C2×C11—48no—
434C2×C11—48no—
435C2×C11#346014yesdirect product factor
436C2×C11C23×#4111yescharacteristic
437C2×C11C22×H(5,𝔽2)11yescharacteristic
438C2×C11C2×#58511yescharacteristic
439C24—28no—
440C24—44no—
441C24—44no—
442C24C24×C1114yes—
443C24C24×C1114yes—
444C24C24×C1111yescharacteristic
445C24C24×C1118yes—
446#41—264no—
447#41—464no—
448C2×Q8—28no—
449C2×Q8—48no—
450C2×Q8C24×C1118yes—
451C2×Q8C24×C11116yes—
452C2×D4—216no—
453C2×D4—216no—
454C2×D4—28no—
455C2×D4—232no—
456C2×D4—48no—
457C2×D4—416no—
458C2×D4—416no—
459C2×D4C24×C11116yes—
460C2×D4C24×C11116yes—
461C2×D4C24×C1118yes—
462C2×D4C24×C11132yes—
463C2×D4C24×C11132yes—
464C2×D4C24×C11116yes—
465C22×C4—216no—
466C22×C4—24no—
467C22×C4—216no—
468C22×C4—216no—
469C22×C4—432no—
470C22×C4—48no—
471C22×C4—44no—
472C22×C4—42no—
473C22×C4—48no—
474C22×C4C11×#4118yescomplemented
475C22×C4C24×C1112yes—
476C22×C4C24×C1114yes—
477C22×C4C24×C1114yes—
478C22×C4C24×C1111yescharacteristic
479C22×C4C24×C1114yes—
480C22×C4C24×C1114yes—
481C22×C4C24×C11116yes—
482C22×C4C24×C11116yes—
483C22×C4C24×C1114yes—
484C22×C4C24×C11116yes—
485C22×C4C24×C1114yes—
486C22×C4C24×C11116yes—
487C22×C4C24×C1118yes—
488C22×C4C24×C11116yes—
489C22×C4C24×C1112yes—
490C22×C4C24×C1114yes—
491C22×C4C24×C1111yescharacteristic
492C4⋊C4C24×C11116yes—
493C4⋊C4C24×C1118yes—
494C4⋊C4C24×C1118yes—
495C4⋊C4C24×C11116yes—
496C4⋊C4C24×C11116yes—
497C4⋊C4C24×C11116yes—
498C4⋊C4C24×C11116yes—
499C4⋊C4C24×C11132yes—
500C22⋊C4C24×C11132yes—
501C22⋊C4C24×C11116yes—
502C22⋊C4C24×C11116yes—
503C22⋊C4C24×C11116yes—
504C22⋊C4C24×C11132yes—
505C22⋊C4C24×C11132yes—
506C22⋊C4C24×C11132yes—
507C42C24×C1118yes—
508C42C24×C1118yes—
509C42C24×C11116yes—
510C42C24×C11116yes—
511C42C24×C11116yes—
512C11C2×#346011yescharacteristic, direct product factor, Sylow
513C23—22no—
514C23—22no—
515C23—28no—
516C23—216no—
517C23—28no—
518C23—28no—
519C23—28no—
520C23—28no—
521C23—28no—
522C23—48no—
523C23—48no—
524C23—432no—
525C23C2×C11×#4114yes—
526C23C25×C1118yes—
527C23C25×C1118yes—
528C23C25×C1112yes—
529C23C25×C1111yescharacteristic
530Q8—216no—
531Q8—416no—
532D4—232no—
533D4—232no—
534D4—216no—
535D4—432no—
536D4—416no—
537D4—432no—
538C2×C4—28no—
539C2×C4—22no—
540C2×C4—28no—
541C2×C4—28no—
542C2×C4—24no—
543C2×C4—28no—
544C2×C4—232no—
545C2×C4—28no—
546C2×C4—232no—
547C2×C4—232no—
548C2×C4—416no—
549C2×C4—48no—
550C2×C4—44no—
551C2×C4—416no—
552C2×C4C2×C11×#4118yes—
553C2×C4C2×C11×#41116yescomplemented
554C2×C4C11×H(5,𝔽2)14yes—
555C2×C4C25×C1114yes—
556C2×C4C25×C1118yes—
557C2×C4C25×C1118yes—
558C2×C4C25×C1112yes—
559C2×C4C25×C1118yes—
560C2×C4C25×C1118yes—
561C2×C4C25×C1114yes—
562C2×C4C25×C1112yes—
563C22—28no—
564C22—22no—
565C22—22no—
566C22—28no—
567C22—28no—
568C22—28no—
569C22—28no—
570C22—28no—
571C22—28no—
572C22—432no—
573C22—416no—
574C22—416no—
575C22C22×C11×#4114yes—
576C22C22×C11×#4112yes—
577C22C2×C11×H(5,𝔽2)12yes—
578C22C11×#58512yes—
579C22C26×C1111yescharacteristic
580C4—28no—
581C4—22no—
582C4—28no—
583C4—28no—
584C4—24no—
585C4—28no—
586C4C22×C11×#4118yes—
587C4C2×C11×H(5,𝔽2)14yes—
588C2—24no—
589C2—48no—
590C2—48no—
591C2C11×#346014yesdirect product factor
592C2C23×C11×#4111yescharacteristic
593C2C22×C11×H(5,𝔽2)11yescharacteristic
594C2C2×C11×#58511yescharacteristic
subgroupG/H
centerC22×C4×C11C24
commutator, Frattini, cosocleC22C26×C11
socleC23×C11C25
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3460C2direct (N × H)
2. C2×C11×#544C2semidirect
3. C2×C11×#542C2semidirect
4. C2×C11×#540C2semidirect
5. C2×C11×#538C2semidirect
6. C2×C11×#537C2semidirect
7. C2×C11×#535C2semidirect
8. C2×C11×#532C2semidirect
9. C2×C11×#529C2semidirect
10. C2×C11×#525C2semidirect
11. C2×C4×C11×#41C2semidirect
12. C22×C4×D4×C11C2semidirect
14. C22×C11×#41C22semidirect
17. C11×#544C22semidirect
18. C11×#542C22semidirect
19. C11×#540C22semidirect
20. C11×#538C22semidirect
21. C11×#537C22semidirect
22. C11×#535C22semidirect
23. C11×#532C22semidirect
24. C2×C11×C4⋊Q8C22semidirect
26. C11×#529C22semidirect
27. C2×C11×#126C22semidirect
28. C2×C11×#125C22semidirect
30. C2×C11×#124C22semidirect
31. C11×#525C22semidirect
32. C2×C11×#123C22semidirect
33. C2×C11×#123C22semidirect
35. C2×C11×C22⋊Q8C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
40. C2×C11×#121C22semidirect
41. C2×C11×#121C22semidirect
42. C2×C11×#121C22semidirect
44. C4×C11×#41C22semidirect
45. C2×C4×Q8×C11C22semidirect
46. C2×C4×Q8×C11C22semidirect
51. C2×C4×D4×C11C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C4×D4×C11C22semidirect
56. C2×C11×#117C22semidirect
57. C2×C11×#117C22semidirect
61. C22×C42×C11C22semidirect
66. C2×C11×#41C23semidirect
88. C11×C4⋊Q8C23semidirect
90. C11×#126C23semidirect
91. C11×#125C23semidirect
93. C11×#124C23semidirect
94. C11×#123C23semidirect
95. C11×#123C23semidirect
97. C11×C22⋊Q8C23semidirect
98. C11×C22⋊Q8C23semidirect
102. C11×#121C23semidirect
103. C11×#121C23semidirect
104. C11×#121C23semidirect
106. C4×Q8×C11C23semidirect
107. C4×Q8×C11C23semidirect
112. C4×D4×C11C23semidirect
113. C4×D4×C11C23semidirect
114. C4×D4×C11C23semidirect
116. C11×#117C23semidirect
117. C11×#117C23semidirect
141. C2×C42×C11C23semidirect
142. C2×#3460C11direct (N × H)
178. C22×C4×C11#41semidirect
216. #3460C2×C11direct (N × H)
217. C2×#544C2×C11semidirect
218. C2×#542C2×C11semidirect
219. C2×#540C2×C11semidirect
220. C2×#538C2×C11semidirect
221. C2×#537C2×C11semidirect
222. C2×#535C2×C11semidirect
223. C2×#532C2×C11semidirect
224. C2×#529C2×C11semidirect
225. C2×#525C2×C11semidirect
226. C2×C4×#41C2×C11semidirect
227. C22×C4×D4C2×C11semidirect
268. C2×C4×C11C2×#41semidirect
279. C22×#41C22×C11semidirect
282. #544C22×C11semidirect
283. #542C22×C11semidirect
284. #540C22×C11semidirect
285. #538C22×C11semidirect
286. #537C22×C11semidirect
287. #535C22×C11semidirect
288. #532C22×C11semidirect
289. C2×C4⋊Q8C22×C11semidirect
291. #529C22×C11semidirect
292. C2×#126C22×C11semidirect
293. C2×#125C22×C11semidirect
295. C2×#124C22×C11semidirect
296. #525C22×C11semidirect
297. C2×#123C22×C11semidirect
298. C2×#123C22×C11semidirect
300. C2×C22⋊Q8C22×C11semidirect
301. C2×C22⋊Q8C22×C11semidirect
305. C2×#121C22×C11semidirect
306. C2×#121C22×C11semidirect
307. C2×#121C22×C11semidirect
309. C4×#41C22×C11semidirect
310. C2×C4×Q8C22×C11semidirect
311. C2×C4×Q8C22×C11semidirect
316. C2×C4×D4C22×C11semidirect
317. C2×C4×D4C22×C11semidirect
318. C2×C4×D4C22×C11semidirect
319. C2×C4×D4C22×C11semidirect
321. C2×#117C22×C11semidirect
322. C2×#117C22×C11semidirect
326. C22×C42C22×C11semidirect
356. C2×#41C23×C11semidirect
378. C4⋊Q8C23×C11semidirect
380. #126C23×C11semidirect
381. #125C23×C11semidirect
383. #124C23×C11semidirect
384. #123C23×C11semidirect
385. #123C23×C11semidirect
387. C22⋊Q8C23×C11semidirect
388. C22⋊Q8C23×C11semidirect
392. #121C23×C11semidirect
393. #121C23×C11semidirect
394. #121C23×C11semidirect
396. C4×Q8C23×C11semidirect
397. C4×Q8C23×C11semidirect
402. C4×D4C23×C11semidirect
403. C4×D4C23×C11semidirect
404. C4×D4C23×C11semidirect
406. #117C23×C11semidirect
407. #117C23×C11semidirect
431. C2×C42C23×C11semidirect
435. C2×C11#3460direct (N × H)
474. C22×C4C11×#41semidirect
512. C11C2×#3460direct (N × H)
553. C2×C4C2×C11×#41semidirect
591. C2C11×#3460direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34602
C2×C11×#5442
C2×C11×#5422
C2×C11×#5402
C2×C11×#5382
C2×C11×#5372
C2×C11×#5352
C2×C11×#5322
C2×C11×#5292
C2×C11×#5252
C2×C4×C11×#412
C22×C4×D4×C112
C2×#346011