Finite Group Databasebeta

← C11×#61704 #14638897

Subgroups — C11×#61704 #14638897

Order 2816.

2022 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3496C211yesmaximal, characteristic
2C2×C11×#552C211yesmaximal, characteristic, complemented
3C11×#3343C218yesmaximal, complemented
4C11×#3310C218yesmaximal, complemented
5C11×#3234C212yesmaximal, complemented
6C11×#3193C212yesmaximal, complemented
7C11×#3187C212yesmaximal, complemented
8C11×#3112C212yesmaximal, complemented
9C11×#3094C212yesmaximal, complemented
10C2×C11×#480C212yesmaximal, complemented
11C11×#2973C211yesmaximal, characteristic, complemented
12C2×C11×H(5,𝔽2)—21no—
13C11×#552—24no—
14C11×#552C2218yescomplemented
15C11×#547C2214yes—
16C11×#546—24no—
17D42×C11C2214yes—
18C11×#537—21no—
19C11×#534—21no—
20C11×#534—21no—
21C11×#532C2212yes—
22C2×C11×#126—21no—
23C2×C11×#125—21no—
24C2×C11×#125C2211yescharacteristic, complemented
25C2×C11×#123—21no—
26C2×C11×C22⋊Q8C2211yescharacteristic, complemented
27C2×C11×C22⋊Q8C2211yescharacteristic, complemented
28C2×C11×#121C2212yes—
29C2×C11×#121C2212yes—
30C2×C4×Q8×C11C2211yescharacteristic, complemented
31C2×C4×D4×C11C2211yescharacteristic
32C2×C11×#117—21no—
33C2×C11×#117C2211yescharacteristic, complemented
34C22×C11×C4⋊C4C2211yescharacteristic, complemented
35C11×#501C2214yescomplemented
36C11×#490C2214yescomplemented
37C11×#484C2214yescomplemented
38C11×#483C2214yescomplemented
39C11×#482C2218yescomplemented
40C11×#481C2214yescomplemented
41C11×#480C2214yescomplemented
42C11×#480C2218yescomplemented
43C11×#480C2214yescomplemented
44C11×#478C2218yescomplemented
45C11×#477C2214yescomplemented
46C11×#468C2218yescomplemented
47C11×#465C2218yescomplemented
48C11×#460C2214yescomplemented
49C11×#450C2214yescomplemented
50C11×#450C2214yescomplemented
51C11×#448C2214yescomplemented
52C11×#440C2218yescomplemented
53C11×#435C2218yescomplemented
54C11×#432C2212yescomplemented
55C11×#428C2214yescomplemented
56C2×C11×#107C2214yescomplemented
57C11×#418C2214yescomplemented
58C2×C11×#102C2214yescomplemented
59C11×#407C2212yescomplemented
60C2×C11×C22⋊C8C2212yescomplemented
61C11×H(5,𝔽2)—48no—
62C2×C11×#41—24no—
63C2×C11×#41—22no—
64C22×Q8×C11C2311yescharacteristic
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—24no—
68C22×D4×C11D411yescharacteristic
69C22×D4×C11C2312yes—
70C22×D4×C11C2312yes—
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C2×C11×SD16C2318yes—
75C2×C11×M16C2314yes—
76C22×C8×C11C2314yes—
77C11×C4⋊Q8C2312yes—
78C11×#127C2312yes—
79C11×#126—28no—
80C11×#125—28no—
81C11×#125—22no—
82C11×#125C2314yes—
83C11×#124—22no—
84C11×#123—28no—
85C11×#123—24no—
86C11×#123—24no—
87C11×C22⋊Q8—22no—
88C11×C22⋊Q8—22no—
89C11×C22⋊Q8—24no—
90C11×C22⋊Q8C2314yes—
91C11×C22⋊Q8C2314yes—
92C11×#121—22no—
93C11×#121—22no—
94C11×#121—22no—
95C11×#121—22no—
96C11×#121—22no—
97C11×#121—24no—
98C11×#121C2314yes—
99C11×#121C2314yes—
100C11×#121C2314yes—
101C11×#120—24no—
102C11×#120—24no—
103C4×Q8×C11—22no—
104C4×Q8×C11C2314yes—
105C4×D4×C11—22no—
106C4×D4×C11D414yes—
107C4×D4×C11C2314yes—
108C4×D4×C11C2314yes—
109C11×#117—22no—
110C11×#117—28no—
111C11×#117C2314yes—
112C2×C11×C4⋊C4—21no—
113C2×C11×C4⋊C4—22no—
114C2×C11×C4⋊C4—21no—
115C2×C11×C4⋊C4—21no—
116C2×C11×C4⋊C4—21no—
117C2×C11×C4⋊C4—21no—
118C2×C11×C4⋊C4—21no—
119C2×C11×C4⋊C4D411yescharacteristic
120C2×C11×C4⋊C4C2311yescharacteristic
121C2×C11×C4⋊C4C2311yescharacteristic
122C2×C11×C4⋊C4C2314yes—
123C2×C11×C4⋊C4C2311yescharacteristic
124C2×C11×C4⋊C4C2312yes—
125C2×C11×C4⋊C4C2312yes—
126C2×C11×C22⋊C4—21no—
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4—21no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4—22no—
131C2×C11×C22⋊C4D411yescharacteristic
132C2×C11×C22⋊C4D411yescharacteristic
133C2×C42×C11—21no—
134C2×C42×C11—21no—
135C2×C42×C11C2311yescharacteristic
136C11×#107C2318yes—
137C11×#107C2318yes—
138C11×#106C2318yes—
139C11×C4⋊C8C2314yes—
140C11×#103C2318yes—
141C11×#102C2318yes—
142C11×#102C2318yes—
143C11×#102C2318yes—
144C11×C22⋊C8C2314yes—
145C11×C22⋊C8C2314yes—
146C11×C22⋊C8C2314yes—
147C11×#97C2314yes—
148#61704C1111yesmaximal, characteristic, direct product factor, Sylow
149C24×C11—22no—
150C24×C11—22no—
151C24×C11C2×D411yescharacteristic
152C24×C11C2×D411yescharacteristic
153C11×#41—48no—
154C11×#41—416no—
155C2×Q8×C11—21no—
156C2×Q8×C11—22no—
157C2×Q8×C11—42no—
158C2×Q8×C11C2412yes—
159C2×D4×C11—24no—
160C2×D4×C11—24no—
161C2×D4×C11—24no—
162C2×D4×C11—24no—
163C2×D4×C11—22no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—44no—
168C2×D4×C11—44no—
169C2×D4×C11—416no—
170C2×D4×C11—48no—
171C2×D4×C11—48no—
172C2×D4×C11C2×D414yes—
173C2×D4×C11C2414yes—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—24no—
181C22×C4×C11—24no—
182C22×C4×C11—42no—
183C22×C4×C11—42no—
184C22×C4×C11—44no—
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2411yescharacteristic
192C22×C4×C11C2412yes—
193C22×C4×C11C2412yes—
194C11×SD16—48no—
195C11×M16—44no—
196C2×C8×C11—44no—
197C2×C8×C11C2418yes—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—24no—
201C11×C4⋊C4—24no—
202C11×C4⋊C4—24no—
203C11×C4⋊C4—24no—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—24no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—22no—
208C11×C4⋊C4—22no—
209C11×C4⋊C4—22no—
210C11×C4⋊C4C2×D414yes—
211C11×C4⋊C4C2412yes—
212C11×C4⋊C4C2412yes—
213C11×C4⋊C4C2412yes—
214C11×C4⋊C4C2414yes—
215C11×C22⋊C4—24no—
216C11×C22⋊C4—24no—
217C11×C22⋊C4—24no—
218C11×C22⋊C4—24no—
219C11×C22⋊C4—24no—
220C11×C22⋊C4—24no—
221C11×C22⋊C4—24no—
222C11×C22⋊C4C2×D414yes—
223C11×C22⋊C4C2×D414yes—
224C42×C11—24no—
225C42×C11—24no—
226C42×C11C2×D412yes—
227C42×C11C2412yes—
228#3496C2×C1111yescharacteristic
229C2×#552C2×C1111yescharacteristic, complemented
230#3343C2×C1118yescomplemented
231#3310C2×C1118yescomplemented
232#3234C2×C1112yescomplemented
233#3193C2×C1112yescomplemented
234#3187C2×C1112yescomplemented
235#3112C2×C1112yescomplemented
236#3094C2×C1112yescomplemented
237C2×#480C2×C1112yescomplemented
238#2973C2×C1111yescharacteristic, complemented
239C23×C11—22no—
240C23×C11—24no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—44no—
246C23×C11—44no—
247C23×C11—82no—
248C23×C11—82no—
249C23×C11—82no—
250C23×C11—82no—
251C23×C11AGL(1,ℤ/8)14yes—
252C23×C11C22×D412yes—
253C23×C11C22×D412yes—
254C23×C11C22×D411yescharacteristic
255Q8×C11—24no—
256Q8×C11—42no—
257Q8×C11—44no—
258D4×C11—28no—
259D4×C11—28no—
260D4×C11—44no—
261D4×C11—48no—
262D4×C11—48no—
263D4×C11—48no—
264D4×C11—82no—
265D4×C11—82no—
266D4×C11—82no—
267C2×C4×C11—22no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—24no—
275C2×C4×C11—22no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—48no—
282C2×C4×C11—42no—
283C2×C4×C11—44no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—48no—
288C2×C4×C11—44no—
289C2×C4×C11C22×D412yes—
290C2×C4×C11C22×D412yes—
291C2×C4×C11C22×D411yescharacteristic
292C2×C4×C11C22×D412yes—
293C2×C4×C11C22×D412yes—
294C2×C4×C11C2511yescharacteristic
295C8×C11—28no—
296C2×H(5,𝔽2)—21no—
297#552—24no—
298#552C22×C1118yescomplemented
299#547C22×C1114yes—
300#546—24no—
301D42C22×C1114yes—
302#537—21no—
303#534—21no—
304#534—21no—
305#532C22×C1112yes—
306C2×#126—21no—
307C2×#125—21no—
308C2×#125C22×C1111yescharacteristic, complemented
309C2×#123—21no—
310C2×C22⋊Q8C22×C1111yescharacteristic, complemented
311C2×C22⋊Q8C22×C1111yescharacteristic, complemented
312C2×#121C22×C1112yes—
313C2×#121C22×C1112yes—
314C2×C4×Q8C22×C1111yescharacteristic, complemented
315C2×C4×D4C22×C1111yescharacteristic
316C2×#117—21no—
317C2×#117C22×C1111yescharacteristic, complemented
318C22×C4⋊C4C22×C1111yescharacteristic, complemented
319#501C22×C1114yescomplemented
320#490C22×C1114yescomplemented
321#484C22×C1114yescomplemented
322#483C22×C1114yescomplemented
323#482C22×C1118yescomplemented
324#481C22×C1114yescomplemented
325#480C22×C1118yescomplemented
326#480C22×C1114yescomplemented
327#480C22×C1114yescomplemented
328#478C22×C1118yescomplemented
329#477C22×C1114yescomplemented
330#468C22×C1118yescomplemented
331#465C22×C1118yescomplemented
332#460C22×C1114yescomplemented
333#450C22×C1114yescomplemented
334#450C22×C1114yescomplemented
335#448C22×C1114yescomplemented
336#440C22×C1118yescomplemented
337#435C22×C1118yescomplemented
338#432C22×C1112yescomplemented
339#428C22×C1114yescomplemented
340C2×#107C22×C1114yescomplemented
341#418C22×C1114yescomplemented
342C2×#102C22×C1114yescomplemented
343#407C22×C1112yescomplemented
344C2×C22⋊C8C22×C1112yescomplemented
345C22×C11—21no—
346C22×C11—22no—
347C22×C11—21no—
348C22×C11—22no—
349C22×C11—22no—
350C22×C11—22no—
351C22×C11—22no—
352C22×C11—44no—
353C22×C11—44no—
354C22×C11—44no—
355C22×C11—44no—
356C22×C11—82no—
357C22×C11—164no—
358C22×C11—164no—
359C22×C11C2×AGL(1,ℤ/8)12yes—
360C22×C11C2×AGL(1,ℤ/8)14yes—
361C22×C11C23×D411yescharacteristic
362C4×C11—22no—
363C4×C11—21no—
364C4×C11—22no—
365C4×C11—22no—
366C4×C11—22no—
367C4×C11—42no—
368C4×C11—42no—
369C4×C11—42no—
370C4×C11—42no—
371C4×C11—44no—
372C4×C11#58512yes—
373H(5,𝔽2)—48no—
374C2×#41—24no—
375C2×#41—22no—
376C22×Q8C23×C1111yescharacteristic
377C22×D4—22no—
378C22×D4—22no—
379C22×D4—24no—
380C22×D4D4×C1111yescharacteristic
381C22×D4C23×C1112yes—
382C22×D4C23×C1112yes—
383C23×C4—21no—
384C23×C4C23×C1111yescharacteristic
385C23×C4C23×C1111yescharacteristic
386C2×SD16C23×C1118yes—
387C2×M16C23×C1114yes—
388C22×C8C23×C1114yes—
389C4⋊Q8C23×C1112yes—
390#127C23×C1112yes—
391#126—28no—
392#125—28no—
393#125—22no—
394#125C23×C1114yes—
395#124—22no—
396#123—28no—
397#123—24no—
398#123—24no—
399C22⋊Q8—22no—
400C22⋊Q8—22no—
401C22⋊Q8—24no—
402C22⋊Q8C23×C1114yes—
403C22⋊Q8C23×C1114yes—
404#121—22no—
405#121—22no—
406#121—22no—
407#121—22no—
408#121—22no—
409#121—24no—
410#121C23×C1114yes—
411#121C23×C1114yes—
412#121C23×C1114yes—
413#120—24no—
414#120—24no—
415C4×Q8—22no—
416C4×Q8C23×C1114yes—
417C4×D4—22no—
418C4×D4D4×C1114yes—
419C4×D4C23×C1114yes—
420C4×D4C23×C1114yes—
421#117—22no—
422#117—28no—
423#117C23×C1114yes—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4D4×C1111yescharacteristic
432C2×C4⋊C4C23×C1111yescharacteristic
433C2×C4⋊C4C23×C1111yescharacteristic
434C2×C4⋊C4C23×C1114yes—
435C2×C4⋊C4C23×C1111yescharacteristic
436C2×C4⋊C4C23×C1112yes—
437C2×C4⋊C4C23×C1112yes—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4D4×C1111yescharacteristic
444C2×C22⋊C4D4×C1111yescharacteristic
445C2×C42—21no—
446C2×C42—21no—
447C2×C42C23×C1111yescharacteristic
448#107C23×C1118yes—
449#107C23×C1118yes—
450#106C23×C1118yes—
451C4⋊C8C23×C1114yes—
452#103C23×C1118yes—
453#102C23×C1118yes—
454#102C23×C1118yes—
455#102C23×C1118yes—
456C22⋊C8C23×C1114yes—
457C22⋊C8C23×C1114yes—
458C22⋊C8C23×C1114yes—
459#97C23×C1114yes—
460C2×C11—22no—
461C2×C11—24no—
462C2×C11—42no—
463C2×C11—84no—
464C2×C11#348511yescharacteristic
465C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
466C2×C11#358611yescharacteristic
467C24—22no—
468C24—22no—
469C24C2×D4×C1111yescharacteristic
470C24C2×D4×C1111yescharacteristic
471#41—48no—
472#41—416no—
473C2×Q8—21no—
474C2×Q8—22no—
475C2×Q8—42no—
476C2×Q8C24×C1112yes—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—416no—
488C2×D4—48no—
489C2×D4—48no—
490C2×D4C2×D4×C1114yes—
491C2×D4C24×C1114yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—44no—
503C22×C4C2×D4×C1111yescharacteristic
504C22×C4C2×D4×C1111yescharacteristic
505C22×C4C2×D4×C1111yescharacteristic
506C22×C4C2×D4×C1112yes—
507C22×C4C2×D4×C1112yes—
508C22×C4C2×D4×C1111yescharacteristic
509C22×C4C24×C1111yescharacteristic
510C22×C4C24×C1112yes—
511C22×C4C24×C1112yes—
512SD16—48no—
513M16—44no—
514C2×C8—44no—
515C2×C8C24×C1118yes—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4C2×D4×C1114yes—
529C4⋊C4C24×C1112yes—
530C4⋊C4C24×C1112yes—
531C4⋊C4C24×C1112yes—
532C4⋊C4C24×C1114yes—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—24no—
539C22⋊C4—24no—
540C22⋊C4C2×D4×C1114yes—
541C22⋊C4C2×D4×C1114yes—
542C42—24no—
543C42—24no—
544C42C2×D4×C1112yes—
545C42C24×C1112yes—
546C11#6170411yescharacteristic, direct product factor, Sylow
547C23—22no—
548C23—24no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—44no—
554C23—44no—
555C23—82no—
556C23—82no—
557C23—82no—
558C23—82no—
559C23C11×AGL(1,ℤ/8)14yes—
560C23C22×D4×C1112yes—
561C23C22×D4×C1112yes—
562C23C22×D4×C1111yescharacteristic
563Q8—24no—
564Q8—42no—
565Q8—44no—
566D4—28no—
567D4—28no—
568D4—44no—
569D4—48no—
570D4—48no—
571D4—48no—
572D4—82no—
573D4—82no—
574D4—82no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—48no—
590C2×C4—42no—
591C2×C4—44no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—48no—
596C2×C4—44no—
597C2×C4C22×D4×C1112yes—
598C2×C4C22×D4×C1112yes—
599C2×C4C22×D4×C1111yescharacteristic
600C2×C4C22×D4×C1112yes—
601C2×C4C22×D4×C1112yes—
602C2×C4C25×C1111yescharacteristic
603C8—28no—
604C22—21no—
605C22—22no—
606C22—21no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—44no—
612C22—44no—
613C22—44no—
614C22—44no—
615C22—82no—
616C22—164no—
617C22—164no—
618C22C2×C11×AGL(1,ℤ/8)12yes—
619C22C2×C11×AGL(1,ℤ/8)14yes—
620C22C23×D4×C1111yescharacteristic
621C4—21no—
622C4—22no—
623C4—22no—
624C4—22no—
625C4—22no—
626C4—42no—
627C4—44no—
628C4—42no—
629C4—42no—
630C4—42no—
631C4C11×#58512yes—
632C2—22no—
633C2—24no—
634C2—42no—
635C2—84no—
636C2C11×#348511yescharacteristic
637C2C22×C11×AGL(1,ℤ/8)11yescharacteristic
638C2C11×#358611yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
prime radicalC11×#3496C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#552C2semidirect
3. C11×#3343C2semidirect
4. C11×#3310C2semidirect
5. C11×#3234C2semidirect
6. C11×#3193C2semidirect
7. C11×#3187C2semidirect
8. C11×#3112C2semidirect
9. C11×#3094C2semidirect
10. C2×C11×#480C2semidirect
11. C11×#2973C2semidirect
14. C11×#552C22semidirect
24. C2×C11×#125C22semidirect
26. C2×C11×C22⋊Q8C22semidirect
27. C2×C11×C22⋊Q8C22semidirect
30. C2×C4×Q8×C11C22semidirect
33. C2×C11×#117C22semidirect
34. C22×C11×C4⋊C4C22semidirect
35. C11×#501C22semidirect
36. C11×#490C22semidirect
37. C11×#484C22semidirect
38. C11×#483C22semidirect
39. C11×#482C22semidirect
40. C11×#481C22semidirect
41. C11×#480C22semidirect
42. C11×#480C22semidirect
43. C11×#480C22semidirect
44. C11×#478C22semidirect
45. C11×#477C22semidirect
46. C11×#468C22semidirect
47. C11×#465C22semidirect
48. C11×#460C22semidirect
49. C11×#450C22semidirect
50. C11×#450C22semidirect
51. C11×#448C22semidirect
52. C11×#440C22semidirect
53. C11×#435C22semidirect
54. C11×#432C22semidirect
55. C11×#428C22semidirect
56. C2×C11×#107C22semidirect
57. C11×#418C22semidirect
58. C2×C11×#102C22semidirect
59. C11×#407C22semidirect
60. C2×C11×C22⋊C8C22semidirect
148. #61704C11direct (N × H)
229. C2×#552C2×C11semidirect
230. #3343C2×C11semidirect
231. #3310C2×C11semidirect
232. #3234C2×C11semidirect
233. #3193C2×C11semidirect
234. #3187C2×C11semidirect
235. #3112C2×C11semidirect
236. #3094C2×C11semidirect
237. C2×#480C2×C11semidirect
238. #2973C2×C11semidirect
298. #552C22×C11semidirect
308. C2×#125C22×C11semidirect
310. C2×C22⋊Q8C22×C11semidirect
311. C2×C22⋊Q8C22×C11semidirect
314. C2×C4×Q8C22×C11semidirect
317. C2×#117C22×C11semidirect
318. C22×C4⋊C4C22×C11semidirect
319. #501C22×C11semidirect
320. #490C22×C11semidirect
321. #484C22×C11semidirect
322. #483C22×C11semidirect
323. #482C22×C11semidirect
324. #481C22×C11semidirect
325. #480C22×C11semidirect
326. #480C22×C11semidirect
327. #480C22×C11semidirect
328. #478C22×C11semidirect
329. #477C22×C11semidirect
330. #468C22×C11semidirect
331. #465C22×C11semidirect
332. #460C22×C11semidirect
333. #450C22×C11semidirect
334. #450C22×C11semidirect
335. #448C22×C11semidirect
336. #440C22×C11semidirect
337. #435C22×C11semidirect
338. #432C22×C11semidirect
339. #428C22×C11semidirect
340. C2×#107C22×C11semidirect
341. #418C22×C11semidirect
342. C2×#102C22×C11semidirect
343. #407C22×C11semidirect
344. C2×C22⋊C8C22×C11semidirect
546. C11#61704direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34962
C2×C11×#5522
C11×#33432
C11×#33102
C11×#32342
C11×#31932
C11×#31872
C11×#31122
C11×#30942
C2×C11×#4802
C11×#29732
#6170411