Finite Group Databasebeta

← C2×C11×#3481 #14639907

Subgroups — C2×C11×#3481 #14639907

Order 2816.

8722 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3481C2132yesmaximal, direct product factor
2C2×C11×#559C211yesmaximal, characteristic, complemented
3C2×C11×#554C212yesmaximal, complemented
4C2×C11×#553C214yesmaximal, complemented
5C2×C11×#551C214yesmaximal, complemented
6C2×C11×#546C214yesmaximal, complemented
7C2×D42×C11C211yesmaximal, characteristic, complemented
8C2×C11×#532C211yesmaximal, characteristic, complemented
9C2×C11×#529C214yesmaximal, complemented
10C2×C11×#525C214yesmaximal, complemented
11C2×C4×C11×#41C212yesmaximal, complemented
12C22×C4×D4×C11C214yesmaximal, complemented
13C22×C11×#41C2212yes—
14C22×C11×#41C2212yescomplemented
15C23×D4×C11C2214yes—
16C24×C4×C11C2214yescomplemented
17C11×#559C22116yescomplemented
18C11×#554C22132yescomplemented
19C11×#553C22164yescomplemented
20C11×#551C22164yescomplemented
21C11×#546C22164yescomplemented
22D42×C11C22116yescomplemented
23C11×#532C22116yescomplemented
24C2×C11×C4⋊Q8C2211yescharacteristic, complemented
25C2×C11×#127C2211yescharacteristic
26C11×#529C22164yescomplemented
27C2×C11×#126C2218yescomplemented
28C2×C11×#125C2214yescomplemented
29C2×C11×#124C2214yescomplemented
30C2×C11×#124C2212yescomplemented
31C11×#525C22164yescomplemented
32C2×C11×#123C2214yescomplemented
33C2×C11×#123C2214yescomplemented
34C2×C11×#123C2218yescomplemented
35C2×C11×C22⋊Q8C2218yescomplemented
36C2×C11×C22⋊Q8C2214yescomplemented
37C2×C11×#121C2214yes—
38C2×C11×#121C2218yescomplemented
39C2×C11×#121C2214yescomplemented
40C2×C11×#120C2214yes—
41C2×C11×#120C2214yescomplemented
42C4×C11×#41C22132yescomplemented
43C2×C4×Q8×C11C2212yescomplemented
44C2×C4×Q8×C11C2212yescomplemented
45C2×C4×D4×C11C2212yes—
46C2×C4×D4×C11C2214yes—
47C2×C4×D4×C11C2212yes—
48C2×C4×D4×C11C2218yescomplemented
49C2×C4×D4×C11C2214yescomplemented
50C2×C4×D4×C11C2218yescomplemented
51C2×C4×D4×C11C2214yescomplemented
52C2×C4×D4×C11C2214yescomplemented
53C2×C4×D4×C11C2214yescomplemented
54C2×C4×D4×C11C22164yescomplemented
55C2×C11×#117C2214yescomplemented
56C2×C11×#117C2212yescomplemented
57C2×C11×#117C2214yescomplemented
58C22×C11×C4⋊C4C2214yescomplemented
59C22×C11×C22⋊C4C2218yescomplemented
60C22×C42×C11C2214yescomplemented
61C22×C42×C11C2211yescharacteristic, complemented
62C25×C11C2314yes—
63C2×C11×#41—216no—
64C2×C11×#41—48no—
65C2×C11×#41C23116yes—
66C2×C11×#41C23116yescomplemented
67C22×Q8×C11C2312yes—
68C22×Q8×C11C2312yes—
69C22×D4×C11—232no—
70C22×D4×C11C2318yes—
71C22×D4×C11C2314yes—
72C22×D4×C11C2314yes—
73C22×D4×C11C23132yes—
74C22×D4×C11C2312yes—
75C22×D4×C11C2314yes—
76C22×D4×C11C2312yes—
77C23×C4×C11—416no—
78C23×C4×C11C2314yes—
79C23×C4×C11C2314yes—
80C23×C4×C11C2312yes—
81C23×C4×C11C2314yes—
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2314yes—
84C23×C4×C11C2318yes—
85C23×C4×C11C2314yes—
86C23×C4×C11C23132yescomplemented
87C11×C4⋊Q8C2318yescomplemented
88C11×#127C2318yes—
89C11×#126C23164yescomplemented
90C11×#125C23132yescomplemented
91C11×#124C23132yescomplemented
92C11×#124C23116yescomplemented
93C11×#123C23132yescomplemented
94C11×#123C23132yescomplemented
95C11×#123C23164yescomplemented
96C11×C22⋊Q8C23164yescomplemented
97C11×C22⋊Q8C23132yescomplemented
98C11×#121C23132yes—
99C11×#121C23164yescomplemented
100C11×#121C23132yescomplemented
101C11×#120C23132yes—
102C11×#120C23132yescomplemented
103C4×Q8×C11C23116yescomplemented
104C4×Q8×C11C23116yescomplemented
105C4×D4×C11C23116yes—
106C4×D4×C11C23132yes—
107C4×D4×C11C23116yes—
108C4×D4×C11C23164yescomplemented
109C4×D4×C11C23132yescomplemented
110C4×D4×C11C23164yescomplemented
111C4×D4×C11C23132yescomplemented
112C4×D4×C11C23132yescomplemented
113C4×D4×C11C23132yescomplemented
114C11×#117C23132yescomplemented
115C11×#117C23116yescomplemented
116C11×#117C23132yescomplemented
117C2×C11×C4⋊C4C2312yes—
118C2×C11×C4⋊C4C2314yes—
119C2×C11×C4⋊C4C2318yes—
120C2×C11×C4⋊C4C2312yes—
121C2×C11×C4⋊C4C2314yes—
122C2×C11×C4⋊C4C2314yes—
123C2×C11×C4⋊C4C2318yes—
124C2×C11×C4⋊C4C23132yescomplemented
125C2×C11×C22⋊C4C2314yes—
126C2×C11×C22⋊C4C2318yes—
127C2×C11×C22⋊C4C2318yes—
128C2×C11×C22⋊C4C2318yes—
129C2×C11×C22⋊C4C2314yes—
130C2×C11×C22⋊C4C2314yes—
131C2×C11×C22⋊C4C2314yes—
132C2×C11×C22⋊C4C2314yes—
133C2×C11×C22⋊C4C23164yescomplemented
134C2×C42×C11C2311yescharacteristic
135C2×C42×C11C2314yes—
136C2×C42×C11C2311yescharacteristic
137C2×C42×C11C2314yes—
138C2×C42×C11C2312yes—
139C2×C42×C11C2314yes—
140C2×C42×C11C23132yescomplemented
141C2×C42×C11C2318yescomplemented
142C2×#3481C1111yesmaximal, characteristic, direct product factor, Sylow
143C24×C11—232no—
144C24×C11—48no—
145C24×C11C2414yes—
146C24×C11C2411yescharacteristic
147C24×C11C24116yes—
148C24×C11C2414yes—
149C11×#41—264no—
150C11×#41—432no—
151C2×Q8×C11—28no—
152C2×Q8×C11—44no—
153C2×Q8×C11C2418yes—
154C2×Q8×C11C2418yes—
155C2×D4×C11—232no—
156C2×D4×C11—216no—
157C2×D4×C11—2128no—
158C2×D4×C11—216no—
159C2×D4×C11—48no—
160C2×D4×C11—44no—
161C2×D4×C11#41116yescomplemented
162C2×D4×C11C24132yes—
163C2×D4×C11C24116yes—
164C2×D4×C11C24116yes—
165C2×D4×C11C2418yes—
166C2×D4×C11C24116yes—
167C2×D4×C11C2418yes—
168C22×C4×C11—216no—
169C22×C4×C11—216no—
170C22×C4×C11—28no—
171C22×C4×C11—216no—
172C22×C4×C11—216no—
173C22×C4×C11—24no—
174C22×C4×C11—464no—
175C22×C4×C11—48no—
176C22×C4×C11—416no—
177C22×C4×C11C2412yes—
178C22×C4×C11C2414yes—
179C22×C4×C11C2414yes—
180C22×C4×C11C2414yes—
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C24116yes—
183C22×C4×C11C24116yes—
184C22×C4×C11C2418yes—
185C22×C4×C11C24116yes—
186C22×C4×C11C2414yes—
187C22×C4×C11C2414yes—
188C22×C4×C11C24116yes—
189C22×C4×C11C24132yes—
190C22×C4×C11C24116yes—
191C22×C4×C11C2412yes—
192C22×C4×C11C2411yescharacteristic
193C11×C4⋊C4C2418yes—
194C11×C4⋊C4C24116yes—
195C11×C4⋊C4C24132yes—
196C11×C4⋊C4C2418yes—
197C11×C4⋊C4C24116yes—
198C11×C4⋊C4C24116yes—
199C11×C4⋊C4C24132yes—
200C11×C22⋊C4C24116yes—
201C11×C22⋊C4C24132yes—
202C11×C22⋊C4C24132yes—
203C11×C22⋊C4C24132yes—
204C11×C22⋊C4C24116yes—
205C11×C22⋊C4C24116yes—
206C11×C22⋊C4C24116yes—
207C11×C22⋊C4C24116yes—
208C42×C11C2418yes—
209C42×C11C2414yes—
210C42×C11C24116yes—
211C42×C11C24116yes—
212C42×C11C2414yes—
213C42×C11C24116yes—
214#3481C2×C11132yesdirect product factor
215C2×#559C2×C1111yescharacteristic, complemented
216C2×#554C2×C1112yescomplemented
217C2×#553C2×C1114yescomplemented
218C2×#551C2×C1114yescomplemented
219C2×#546C2×C1114yescomplemented
220C2×D42C2×C1111yescharacteristic, complemented
221C2×#532C2×C1111yescharacteristic, complemented
222C2×#529C2×C1114yescomplemented
223C2×#525C2×C1114yescomplemented
224C2×C4×#41C2×C1112yescomplemented
225C22×C4×D4C2×C1114yescomplemented
226C23×C11—28no—
227C23×C11—28no—
228C23×C11—24no—
229C23×C11—264no—
230C23×C11—216no—
231C23×C11—28no—
232C23×C11—22no—
233C23×C11—416no—
234C23×C11—464no—
235C23×C11C2×#41116yes—
236C23×C11C2518yes—
237C23×C11C2512yes—
238C23×C11C2518yes—
239C23×C11C2511yescharacteristic
240Q8×C11—216no—
241Q8×C11—48no—
242D4×C11—264no—
243D4×C11—232no—
244D4×C11—232no—
245D4×C11—416no—
246D4×C11—48no—
247D4×C11C2×#41132yescomplemented
248C2×C4×C11—24no—
249C2×C4×C11—28no—
250C2×C4×C11—28no—
251C2×C4×C11—232no—
252C2×C4×C11—28no—
253C2×C4×C11—28no—
254C2×C4×C11—22no—
255C2×C4×C11—232no—
256C2×C4×C11—216no—
257C2×C4×C11—232no—
258C2×C4×C11—232no—
259C2×C4×C11—28no—
260C2×C4×C11—416no—
261C2×C4×C11—432no—
262C2×C4×C11C2×#4118yes—
263C2×C4×C11H(5,𝔽2)14yes—
264C2×C4×C11C2514yes—
265C2×C4×C11C2518yes—
266C2×C4×C11C2518yes—
267C2×C4×C11C2518yes—
268C2×C4×C11C2512yes—
269C2×C4×C11C2518yes—
270C2×C4×C11C2514yes—
271C2×C4×C11C2512yes—
272C22×#41C22×C1112yes—
273C22×#41C22×C1112yescomplemented
274C23×D4C22×C1114yes—
275C24×C4C22×C1114yescomplemented
276#559C22×C11116yescomplemented
277#554C22×C11132yescomplemented
278#553C22×C11164yescomplemented
279#551C22×C11164yescomplemented
280#546C22×C11164yescomplemented
281D42C22×C11116yescomplemented
282#532C22×C11116yescomplemented
283C2×C4⋊Q8C22×C1111yescharacteristic, complemented
284C2×#127C22×C1111yescharacteristic
285#529C22×C11164yescomplemented
286C2×#126C22×C1118yescomplemented
287C2×#125C22×C1114yescomplemented
288C2×#124C22×C1114yescomplemented
289C2×#124C22×C1112yescomplemented
290#525C22×C11164yescomplemented
291C2×#123C22×C1114yescomplemented
292C2×#123C22×C1114yescomplemented
293C2×#123C22×C1118yescomplemented
294C2×C22⋊Q8C22×C1118yescomplemented
295C2×C22⋊Q8C22×C1114yescomplemented
296C2×#121C22×C1114yes—
297C2×#121C22×C1118yescomplemented
298C2×#121C22×C1114yescomplemented
299C2×#120C22×C1114yes—
300C2×#120C22×C1114yescomplemented
301C4×#41C22×C11132yescomplemented
302C2×C4×Q8C22×C1112yescomplemented
303C2×C4×Q8C22×C1112yescomplemented
304C2×C4×D4C22×C1112yes—
305C2×C4×D4C22×C1114yes—
306C2×C4×D4C22×C1112yes—
307C2×C4×D4C22×C1118yescomplemented
308C2×C4×D4C22×C1114yescomplemented
309C2×C4×D4C22×C1118yescomplemented
310C2×C4×D4C22×C1114yescomplemented
311C2×C4×D4C22×C1114yescomplemented
312C2×C4×D4C22×C1114yescomplemented
313C2×C4×D4C22×C11164yescomplemented
314C2×#117C22×C1114yescomplemented
315C2×#117C22×C1112yescomplemented
316C2×#117C22×C1114yescomplemented
317C22×C4⋊C4C22×C1114yescomplemented
318C22×C22⋊C4C22×C1118yescomplemented
319C22×C42C22×C1114yescomplemented
320C22×C42C22×C1111yescharacteristic, complemented
321C22×C11—28no—
322C22×C11—28no—
323C22×C11—232no—
324C22×C11—24no—
325C22×C11—216no—
326C22×C11—28no—
327C22×C11—22no—
328C22×C11—464no—
329C22×C11—44no—
330C22×C11—416no—
331C22×C11C22×#41116yes—
332C22×C11C22×#4114yes—
333C22×C11C2×H(5,𝔽2)12yes—
334C22×C11C2611yescharacteristic
335C4×C11—24no—
336C4×C11—28no—
337C4×C11—28no—
338C4×C11—28no—
339C4×C11—28no—
340C4×C11—22no—
341C4×C11C22×#4118yes—
342C4×C11C2×H(5,𝔽2)14yes—
343C25C23×C1114yes—
344C2×#41—216no—
345C2×#41—48no—
346C2×#41C23×C11116yes—
347C2×#41C23×C11116yescomplemented
348C22×Q8C23×C1112yes—
349C22×Q8C23×C1112yes—
350C22×D4—232no—
351C22×D4C23×C1118yes—
352C22×D4C23×C1114yes—
353C22×D4C23×C1114yes—
354C22×D4C23×C11132yes—
355C22×D4C23×C1112yes—
356C22×D4C23×C1114yes—
357C22×D4C23×C1112yes—
358C23×C4—416no—
359C23×C4C23×C1114yes—
360C23×C4C23×C1114yes—
361C23×C4C23×C1114yes—
362C23×C4C23×C1112yes—
363C23×C4C23×C1114yes—
364C23×C4C23×C1111yescharacteristic
365C23×C4C23×C1118yes—
366C23×C4C23×C1114yes—
367C23×C4C23×C11132yescomplemented
368C4⋊Q8C23×C1118yescomplemented
369#127C23×C1118yes—
370#126C23×C11164yescomplemented
371#125C23×C11132yescomplemented
372#124C23×C11132yescomplemented
373#124C23×C11116yescomplemented
374#123C23×C11132yescomplemented
375#123C23×C11132yescomplemented
376#123C23×C11164yescomplemented
377C22⋊Q8C23×C11164yescomplemented
378C22⋊Q8C23×C11132yescomplemented
379#121C23×C11132yes—
380#121C23×C11164yescomplemented
381#121C23×C11132yescomplemented
382#120C23×C11132yes—
383#120C23×C11132yescomplemented
384C4×Q8C23×C11116yescomplemented
385C4×Q8C23×C11116yescomplemented
386C4×D4C23×C11116yes—
387C4×D4C23×C11132yes—
388C4×D4C23×C11116yes—
389C4×D4C23×C11164yescomplemented
390C4×D4C23×C11132yescomplemented
391C4×D4C23×C11164yescomplemented
392C4×D4C23×C11132yescomplemented
393C4×D4C23×C11132yescomplemented
394C4×D4C23×C11132yescomplemented
395#117C23×C11132yescomplemented
396#117C23×C11116yescomplemented
397#117C23×C11132yescomplemented
398C2×C4⋊C4C23×C1112yes—
399C2×C4⋊C4C23×C1114yes—
400C2×C4⋊C4C23×C1118yes—
401C2×C4⋊C4C23×C1112yes—
402C2×C4⋊C4C23×C1114yes—
403C2×C4⋊C4C23×C1114yes—
404C2×C4⋊C4C23×C1118yes—
405C2×C4⋊C4C23×C11132yescomplemented
406C2×C22⋊C4C23×C1114yes—
407C2×C22⋊C4C23×C1118yes—
408C2×C22⋊C4C23×C1118yes—
409C2×C22⋊C4C23×C1118yes—
410C2×C22⋊C4C23×C1114yes—
411C2×C22⋊C4C23×C1114yes—
412C2×C22⋊C4C23×C1114yes—
413C2×C22⋊C4C23×C1114yes—
414C2×C22⋊C4C23×C11164yescomplemented
415C2×C42C23×C1111yescharacteristic
416C2×C42C23×C1114yes—
417C2×C42C23×C1114yes—
418C2×C42C23×C1111yescharacteristic
419C2×C42C23×C1114yes—
420C2×C42C23×C1112yes—
421C2×C42C23×C11132yescomplemented
422C2×C42C23×C1118yescomplemented
423C2×C11—216no—
424C2×C11—42no—
425C2×C11—48no—
426C2×C11#348114yesdirect product factor
427C2×C11C23×#4112yes—
428C2×C11C22×H(5,𝔽2)11yescharacteristic
429C24—232no—
430C24—48no—
431C24C24×C1114yes—
432C24C24×C1111yescharacteristic
433C24C24×C11116yes—
434C24C24×C1114yes—
435#41—264no—
436#41—432no—
437C2×Q8—28no—
438C2×Q8—44no—
439C2×Q8C24×C1118yes—
440C2×Q8C24×C1118yes—
441C2×D4—232no—
442C2×D4—216no—
443C2×D4—2128no—
444C2×D4—216no—
445C2×D4—48no—
446C2×D4—44no—
447C2×D4C11×#41116yescomplemented
448C2×D4C24×C11132yes—
449C2×D4C24×C11116yes—
450C2×D4C24×C11116yes—
451C2×D4C24×C1118yes—
452C2×D4C24×C11116yes—
453C2×D4C24×C1118yes—
454C22×C4—216no—
455C22×C4—216no—
456C22×C4—28no—
457C22×C4—216no—
458C22×C4—216no—
459C22×C4—24no—
460C22×C4—464no—
461C22×C4—48no—
462C22×C4—416no—
463C22×C4C24×C1112yes—
464C22×C4C24×C1114yes—
465C22×C4C24×C1114yes—
466C22×C4C24×C1114yes—
467C22×C4C24×C1111yescharacteristic
468C22×C4C24×C11116yes—
469C22×C4C24×C11116yes—
470C22×C4C24×C1118yes—
471C22×C4C24×C11116yes—
472C22×C4C24×C1114yes—
473C22×C4C24×C1114yes—
474C22×C4C24×C11116yes—
475C22×C4C24×C11132yes—
476C22×C4C24×C11116yes—
477C22×C4C24×C1112yes—
478C22×C4C24×C1111yescharacteristic
479C4⋊C4C24×C1118yes—
480C4⋊C4C24×C11116yes—
481C4⋊C4C24×C11132yes—
482C4⋊C4C24×C1118yes—
483C4⋊C4C24×C11116yes—
484C4⋊C4C24×C11116yes—
485C4⋊C4C24×C11132yes—
486C22⋊C4C24×C11116yes—
487C22⋊C4C24×C11132yes—
488C22⋊C4C24×C11132yes—
489C22⋊C4C24×C11132yes—
490C22⋊C4C24×C11116yes—
491C22⋊C4C24×C11116yes—
492C22⋊C4C24×C11116yes—
493C22⋊C4C24×C11116yes—
494C42C24×C1118yes—
495C42C24×C1114yes—
496C42C24×C11116yes—
497C42C24×C11116yes—
498C42C24×C1114yes—
499C42C24×C11116yes—
500C11C2×#348111yescharacteristic, direct product factor, Sylow
501C23—28no—
502C23—28no—
503C23—24no—
504C23—264no—
505C23—216no—
506C23—28no—
507C23—22no—
508C23—416no—
509C23—464no—
510C23C2×C11×#41116yes—
511C23C25×C1118yes—
512C23C25×C1112yes—
513C23C25×C1118yes—
514C23C25×C1111yescharacteristic
515Q8—216no—
516Q8—48no—
517D4—264no—
518D4—232no—
519D4—232no—
520D4—416no—
521D4—48no—
522D4C2×C11×#41132yescomplemented
523C2×C4—24no—
524C2×C4—28no—
525C2×C4—28no—
526C2×C4—232no—
527C2×C4—28no—
528C2×C4—28no—
529C2×C4—22no—
530C2×C4—232no—
531C2×C4—216no—
532C2×C4—232no—
533C2×C4—232no—
534C2×C4—28no—
535C2×C4—416no—
536C2×C4—432no—
537C2×C4C2×C11×#4118yes—
538C2×C4C11×H(5,𝔽2)14yes—
539C2×C4C25×C1114yes—
540C2×C4C25×C1118yes—
541C2×C4C25×C1118yes—
542C2×C4C25×C1118yes—
543C2×C4C25×C1112yes—
544C2×C4C25×C1118yes—
545C2×C4C25×C1114yes—
546C2×C4C25×C1112yes—
547C22—232no—
548C22—28no—
549C22—28no—
550C22—24no—
551C22—216no—
552C22—28no—
553C22—22no—
554C22—464no—
555C22—416no—
556C22—44no—
557C22C22×C11×#41116yes—
558C22C22×C11×#4114yes—
559C22C2×C11×H(5,𝔽2)12yes—
560C22C26×C1111yescharacteristic
561C4—24no—
562C4—28no—
563C4—28no—
564C4—28no—
565C4—28no—
566C4—22no—
567C4C22×C11×#4118yes—
568C4C2×C11×H(5,𝔽2)14yes—
569C2—216no—
570C2—48no—
571C2—42no—
572C2C11×#348114yesdirect product factor
573C2C23×C11×#4112yes—
574C2C22×C11×H(5,𝔽2)11yescharacteristic
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×#3481C2direct (N × H)
2. C2×C11×#559C2semidirect
3. C2×C11×#554C2semidirect
4. C2×C11×#553C2semidirect
5. C2×C11×#551C2semidirect
6. C2×C11×#546C2semidirect
7. C2×D42×C11C2semidirect
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
16. C24×C4×C11C22semidirect
17. C11×#559C22semidirect
18. C11×#554C22semidirect
19. C11×#553C22semidirect
20. C11×#551C22semidirect
21. C11×#546C22semidirect
22. D42×C11C22semidirect
23. C11×#532C22semidirect
24. C2×C11×C4⋊Q8C22semidirect
26. C11×#529C22semidirect
27. C2×C11×#126C22semidirect
28. C2×C11×#125C22semidirect
29. C2×C11×#124C22semidirect
30. C2×C11×#124C22semidirect
31. C11×#525C22semidirect
32. C2×C11×#123C22semidirect
33. C2×C11×#123C22semidirect
34. C2×C11×#123C22semidirect
35. C2×C11×C22⋊Q8C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
38. C2×C11×#121C22semidirect
39. C2×C11×#121C22semidirect
41. C2×C11×#120C22semidirect
42. C4×C11×#41C22semidirect
43. C2×C4×Q8×C11C22semidirect
44. C2×C4×Q8×C11C22semidirect
48. C2×C4×D4×C11C22semidirect
49. C2×C4×D4×C11C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C2×C4×D4×C11C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C4×D4×C11C22semidirect
55. C2×C11×#117C22semidirect
56. C2×C11×#117C22semidirect
57. C2×C11×#117C22semidirect
58. C22×C11×C4⋊C4C22semidirect
59. C22×C11×C22⋊C4C22semidirect
60. C22×C42×C11C22semidirect
61. C22×C42×C11C22semidirect
66. C2×C11×#41C23semidirect
86. C23×C4×C11C23semidirect
87. C11×C4⋊Q8C23semidirect
89. C11×#126C23semidirect
90. C11×#125C23semidirect
91. C11×#124C23semidirect
92. C11×#124C23semidirect
93. C11×#123C23semidirect
94. C11×#123C23semidirect
95. C11×#123C23semidirect
96. C11×C22⋊Q8C23semidirect
97. C11×C22⋊Q8C23semidirect
99. C11×#121C23semidirect
100. C11×#121C23semidirect
102. C11×#120C23semidirect
103. C4×Q8×C11C23semidirect
104. C4×Q8×C11C23semidirect
108. C4×D4×C11C23semidirect
109. C4×D4×C11C23semidirect
110. C4×D4×C11C23semidirect
111. C4×D4×C11C23semidirect
112. C4×D4×C11C23semidirect
113. C4×D4×C11C23semidirect
114. C11×#117C23semidirect
115. C11×#117C23semidirect
116. C11×#117C23semidirect
124. C2×C11×C4⋊C4C23semidirect
133. C2×C11×C22⋊C4C23semidirect
140. C2×C42×C11C23semidirect
141. C2×C42×C11C23semidirect
142. C2×#3481C11direct (N × H)
161. C2×D4×C11#41semidirect
214. #3481C2×C11direct (N × H)
215. C2×#559C2×C11semidirect
216. C2×#554C2×C11semidirect
217. C2×#553C2×C11semidirect
218. C2×#551C2×C11semidirect
219. C2×#546C2×C11semidirect
220. C2×D42C2×C11semidirect
221. C2×#532C2×C11semidirect
222. C2×#529C2×C11semidirect
223. C2×#525C2×C11semidirect
224. C2×C4×#41C2×C11semidirect
225. C22×C4×D4C2×C11semidirect
247. D4×C11C2×#41semidirect
273. C22×#41C22×C11semidirect
275. C24×C4C22×C11semidirect
276. #559C22×C11semidirect
277. #554C22×C11semidirect
278. #553C22×C11semidirect
279. #551C22×C11semidirect
280. #546C22×C11semidirect
281. D42C22×C11semidirect
282. #532C22×C11semidirect
283. C2×C4⋊Q8C22×C11semidirect
285. #529C22×C11semidirect
286. C2×#126C22×C11semidirect
287. C2×#125C22×C11semidirect
288. C2×#124C22×C11semidirect
289. C2×#124C22×C11semidirect
290. #525C22×C11semidirect
291. C2×#123C22×C11semidirect
292. C2×#123C22×C11semidirect
293. C2×#123C22×C11semidirect
294. C2×C22⋊Q8C22×C11semidirect
295. C2×C22⋊Q8C22×C11semidirect
297. C2×#121C22×C11semidirect
298. C2×#121C22×C11semidirect
300. C2×#120C22×C11semidirect
301. C4×#41C22×C11semidirect
302. C2×C4×Q8C22×C11semidirect
303. C2×C4×Q8C22×C11semidirect
307. C2×C4×D4C22×C11semidirect
308. C2×C4×D4C22×C11semidirect
309. C2×C4×D4C22×C11semidirect
310. C2×C4×D4C22×C11semidirect
311. C2×C4×D4C22×C11semidirect
312. C2×C4×D4C22×C11semidirect
313. C2×C4×D4C22×C11semidirect
314. C2×#117C22×C11semidirect
315. C2×#117C22×C11semidirect
316. C2×#117C22×C11semidirect
317. C22×C4⋊C4C22×C11semidirect
318. C22×C22⋊C4C22×C11semidirect
319. C22×C42C22×C11semidirect
320. C22×C42C22×C11semidirect
347. C2×#41C23×C11semidirect
367. C23×C4C23×C11semidirect
368. C4⋊Q8C23×C11semidirect
370. #126C23×C11semidirect
371. #125C23×C11semidirect
372. #124C23×C11semidirect
373. #124C23×C11semidirect
374. #123C23×C11semidirect
375. #123C23×C11semidirect
376. #123C23×C11semidirect
377. C22⋊Q8C23×C11semidirect
378. C22⋊Q8C23×C11semidirect
380. #121C23×C11semidirect
381. #121C23×C11semidirect
383. #120C23×C11semidirect
384. C4×Q8C23×C11semidirect
385. C4×Q8C23×C11semidirect
389. C4×D4C23×C11semidirect
390. C4×D4C23×C11semidirect
391. C4×D4C23×C11semidirect
392. C4×D4C23×C11semidirect
393. C4×D4C23×C11semidirect
394. C4×D4C23×C11semidirect
395. #117C23×C11semidirect
396. #117C23×C11semidirect
397. #117C23×C11semidirect
405. C2×C4⋊C4C23×C11semidirect
414. C2×C22⋊C4C23×C11semidirect
421. C2×C42C23×C11semidirect
422. C2×C42C23×C11semidirect
426. C2×C11#3481direct (N × H)
447. C2×D4C11×#41semidirect
500. C11C2×#3481direct (N × H)
522. D4C2×C11×#41semidirect
572. C2C11×#3481direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34812
C2×C11×#5592
C2×C11×#5542
C2×C11×#5532
C2×C11×#5512
C2×C11×#5462
C2×D42×C112
C2×C11×#5322
C2×C11×#5292
C2×C11×#5252
C2×C4×C11×#412
C22×C4×D4×C112
C2×#348111