Finite Group Databasebeta

← C11×#60741 #14637934

Subgroups — C11×#60741 #14637934

Order 2816.

2362 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#525C212yesmaximal, complemented
2C11×#3197C214yesmaximal, complemented
3C11×#3196C214yesmaximal, complemented
4C11×#3195C211yesmaximal, characteristic, complemented
5C11×#3194C214yesmaximal, complemented
6C11×#3193C212yesmaximal, complemented
7C11×#3192C211yesmaximal, characteristic, complemented
8C11×#3091C214yesmaximal, complemented
9C11×#3054C214yesmaximal, complemented
10C11×#3002C214yesmaximal, complemented
11C2×C11×#407C211yesmaximal, characteristic, complemented
12C22×C11×#41C2212yescomplemented
13C24×C4×C11C2211yescharacteristic
14C2×C11×#135C2214yescomplemented
15C22×C11×M16C2212yescomplemented
16C11×#525—22no—
17C11×#525—22no—
18C11×#525—22no—
19C11×#525—22no—
20C11×#525C2214yes—
21C11×#525C2214yes—
22C11×#525C2214yescomplemented
23C11×#525C2214yescomplemented
24C2×C11×#123—22no—
25C2×C11×C22⋊Q8C2212yes—
26C2×C11×C22⋊Q8C2212yescomplemented
27C2×C11×#121C2212yes—
28C2×C11×#121C2212yescomplemented
29C2×C11×#120—22no—
30C2×C4×D4×C11—22no—
31C2×C4×D4×C11—22no—
32C2×C11×#117C2212yescomplemented
33C11×#485C2218yescomplemented
34C11×#484C2214yescomplemented
35C11×#483C2214yescomplemented
36C11×#482C2218yescomplemented
37C11×#481C2214yescomplemented
38C11×#480C2214yescomplemented
39C11×#470C2214yescomplemented
40C11×#470C2214yescomplemented
41C11×#469C2214yescomplemented
42C11×#469C2214yescomplemented
43C11×#468C2218yescomplemented
44C11×#468C2218yescomplemented
45C11×#452C2218yescomplemented
46C11×#451C2214yescomplemented
47C11×#450C2214yescomplemented
48C11×#449C2218yescomplemented
49C11×#448C2214yescomplemented
50C11×#447C2214yescomplemented
51C11×#427C2214yescomplemented
52C11×#416C2218yescomplemented
53C11×#407C2211yescharacteristic
54C11×#407C2211yescharacteristic
55C11×#407C2214yescomplemented
56C11×#407C2212yescomplemented
57C2×C11×C22⋊C8C2214yescomplemented
58C25×C11D411yescharacteristic
59C2×C11×#41—22no—
60C2×C11×#41—22no—
61C2×C11×#41—48no—
62C2×C11×#41C2314yes—
63C2×C11×#41C2314yes—
64C22×Q8×C11C2312yes—
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—22no—
68C22×D4×C11C2312yes—
69C23×C4×C11—22no—
70C23×C4×C11—44no—
71C23×C4×C11D411yescharacteristic
72C23×C4×C11D412yes—
73C23×C4×C11D412yes—
74C23×C4×C11D411yescharacteristic
75C23×C4×C11D411yescharacteristic
76C23×C4×C11C2312yes—
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2312yes—
80C23×C4×C11C2311yescharacteristic
81C11×#135—48no—
82C2×C11×Q16C2314yescomplemented
83C2×C11×SD16C2318yescomplemented
84C2×C11×D8C2314yescomplemented
85C2×C11×M16—44no—
86C2×C11×M16C2312yes—
87C2×C11×M16C2312yes—
88C2×C11×M16C2314yes—
89C22×C8×C11C2314yes—
90C11×#123—24no—
91C11×#123—24no—
92C11×#123—24no—
93C11×#123—24no—
94C11×C22⋊Q8—22no—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—22no—
97C11×C22⋊Q8—22no—
98C11×C22⋊Q8C2314yes—
99C11×C22⋊Q8C2314yes—
100C11×C22⋊Q8C2314yes—
101C11×C22⋊Q8C2314yes—
102C11×#121—22no—
103C11×#121—22no—
104C11×#121—22no—
105C11×#121—22no—
106C11×#121C2314yes—
107C11×#121C2314yes—
108C11×#121C2314yes—
109C11×#121C2314yes—
110C11×#120—24no—
111C11×#120—24no—
112C11×#120—24no—
113C11×#120—24no—
114C4×D4×C11—24no—
115C4×D4×C11—24no—
116C4×D4×C11—24no—
117C4×D4×C11—24no—
118C4×D4×C11—24no—
119C4×D4×C11—24no—
120C4×D4×C11—24no—
121C4×D4×C11—24no—
122C11×#117—22no—
123C11×#117—22no—
124C11×#117C2314yes—
125C11×#117C2314yes—
126C2×C11×C4⋊C4—22no—
127C2×C11×C4⋊C4—22no—
128C2×C11×C4⋊C4C2312yes—
129C2×C11×C4⋊C4C2312yes—
130C2×C11×C22⋊C4—22no—
131C2×C11×C22⋊C4—22no—
132C2×C11×C22⋊C4—22no—
133C2×C11×C22⋊C4—22no—
134C2×C11×C22⋊C4—22no—
135C2×C42×C11—22no—
136C11×#107C2318yescomplemented
137C11×#106C2314yescomplemented
138C11×#106C2314yescomplemented
139C11×#103C2318yescomplemented
140C11×#103C2318yescomplemented
141C11×#102C2318yescomplemented
142C11×#102C2318yescomplemented
143C11×C22⋊C8C2314yes—
144C11×C22⋊C8C2314yes—
145C11×C22⋊C8C2318yes—
146#60741C1111yesmaximal, characteristic, direct product factor, Sylow
147C24×C11—22no—
148C24×C11—42no—
149C24×C11—44no—
150C24×C11C2×D411yescharacteristic
151C24×C11C2×D412yes—
152C24×C11C2×D412yes—
153C24×C11C2×D411yescharacteristic
154C24×C11C2×D411yescharacteristic
155C11×#41—216no—
156C11×#41—48no—
157C11×#41—48no—
158C11×#41—48no—
159C2×Q8×C11—22no—
160C2×Q8×C11—44no—
161C2×Q8×C11C2414yes—
162C2×D4×C11—24no—
163C2×D4×C11—24no—
164C2×D4×C11—24no—
165C2×D4×C11—24no—
166C2×D4×C11—24no—
167C2×D4×C11—24no—
168C2×D4×C11—22no—
169C2×D4×C11—44no—
170C2×D4×C11—48no—
171C2×D4×C11—48no—
172C2×D4×C11—48no—
173C2×D4×C11C2414yes—
174C22×C4×C11—24no—
175C22×C4×C11—28no—
176C22×C4×C11—22no—
177C22×C4×C11—22no—
178C22×C4×C11—22no—
179C22×C4×C11—24no—
180C22×C4×C11—24no—
181C22×C4×C11—42no—
182C22×C4×C11—44no—
183C22×C4×C11—42no—
184C22×C4×C11—42no—
185C22×C4×C11—44no—
186C22×C4×C11—42no—
187C22×C4×C11—44no—
188C22×C4×C11—42no—
189C22×C4×C11—48no—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D412yes—
197C22×C4×C11C2×D412yes—
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D412yes—
200C22×C4×C11C2×D412yes—
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D412yes—
203C22×C4×C11C2412yes—
204C22×C4×C11C2412yes—
205C22×C4×C11C2411yescharacteristic
206C22×C4×C11C2411yescharacteristic
207C22×C4×C11C2411yescharacteristic
208C11×Q16—44no—
209C11×SD16—48no—
210C11×D8—44no—
211C11×M16—42no—
212C11×M16—44no—
213C11×M16—42no—
214C2×C8×C11—28no—
215C2×C8×C11C2414yes—
216C2×C8×C11C2414yes—
217C11×C4⋊C4—24no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4—24no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4C2414yes—
224C11×C4⋊C4C2414yes—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—24no—
227C11×C22⋊C4—24no—
228C11×C22⋊C4—24no—
229C11×C22⋊C4—24no—
230C11×C22⋊C4—24no—
231C11×C22⋊C4—24no—
232C11×C22⋊C4—24no—
233C11×C22⋊C4—24no—
234C11×C22⋊C4—24no—
235C42×C11—24no—
236C42×C11—24no—
237C2×#525C2×C1112yescomplemented
238#3197C2×C1114yescomplemented
239#3196C2×C1114yescomplemented
240#3195C2×C1111yescharacteristic, complemented
241#3194C2×C1114yescomplemented
242#3193C2×C1112yescomplemented
243#3192C2×C1111yescharacteristic, complemented
244#3091C2×C1114yescomplemented
245#3054C2×C1114yescomplemented
246#3002C2×C1114yescomplemented
247C2×#407C2×C1111yescharacteristic, complemented
248C23×C11—24no—
249C23×C11—22no—
250C23×C11—24no—
251C23×C11—24no—
252C23×C11—24no—
253C23×C11—24no—
254C23×C11—41no—
255C23×C11—42no—
256C23×C11—41no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11—42no—
260C23×C11—42no—
261C23×C11—44no—
262C23×C11—44no—
263C23×C11—416no—
264C23×C11—44no—
265C23×C11C22×D412yes—
266C23×C11C22×D411yescharacteristic
267C23×C11C22×D411yescharacteristic
268C23×C11C22×D411yescharacteristic
269C23×C11C22×D412yes—
270Q8×C11—28no—
271Q8×C11—44no—
272D4×C11—28no—
273D4×C11—44no—
274D4×C11—48no—
275D4×C11—48no—
276D4×C11—48no—
277D4×C11—48no—
278D4×C11—48no—
279D4×C11—48no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—41no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11—41no—
300C2×C4×C11—48no—
301C2×C4×C11—44no—
302C2×C4×C11—44no—
303C2×C4×C11—44no—
304C2×C4×C11—48no—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D412yes—
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11H(5,𝔽2)14yes—
311C2×C4×C11C2511yescharacteristic
312C8×C11—24no—
313C8×C11—24no—
314C22×#41C22×C1112yescomplemented
315C24×C4C22×C1111yescharacteristic
316C2×#135C22×C1114yescomplemented
317C22×M16C22×C1112yescomplemented
318#525—22no—
319#525—22no—
320#525—22no—
321#525—22no—
322#525C22×C1114yes—
323#525C22×C1114yes—
324#525C22×C1114yescomplemented
325#525C22×C1114yescomplemented
326C2×#123—22no—
327C2×C22⋊Q8C22×C1112yes—
328C2×C22⋊Q8C22×C1112yescomplemented
329C2×#121C22×C1112yes—
330C2×#121C22×C1112yescomplemented
331C2×#120—22no—
332C2×C4×D4—22no—
333C2×C4×D4—22no—
334C2×#117C22×C1112yescomplemented
335#485C22×C1118yescomplemented
336#484C22×C1114yescomplemented
337#483C22×C1114yescomplemented
338#482C22×C1118yescomplemented
339#481C22×C1114yescomplemented
340#480C22×C1114yescomplemented
341#470C22×C1114yescomplemented
342#470C22×C1114yescomplemented
343#469C22×C1114yescomplemented
344#469C22×C1114yescomplemented
345#468C22×C1118yescomplemented
346#468C22×C1118yescomplemented
347#452C22×C1118yescomplemented
348#451C22×C1114yescomplemented
349#450C22×C1114yescomplemented
350#449C22×C1118yescomplemented
351#448C22×C1114yescomplemented
352#447C22×C1114yescomplemented
353#427C22×C1114yescomplemented
354#416C22×C1118yescomplemented
355#407C22×C1111yescharacteristic
356#407C22×C1111yescharacteristic
357#407C22×C1114yescomplemented
358#407C22×C1112yescomplemented
359C2×C22⋊C8C22×C1114yescomplemented
360C22×C11—22no—
361C22×C11—22no—
362C22×C11—22no—
363C22×C11—22no—
364C22×C11—21no—
365C22×C11—21no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—44no—
371C22×C11—48no—
372C22×C11—48no—
373C22×C11—44no—
374C22×C11—44no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11—44no—
378C22×C11—88no—
379C22×C11#53412yes—
380C22×C11#57514yes—
381C22×C11C23×D411yescharacteristic
382C4×C11—22no—
383C4×C11—21no—
384C4×C11—21no—
385C4×C11—22no—
386C4×C11—44no—
387C4×C11—44no—
388C4×C11—44no—
389C4×C11#53412yes—
390C4×C11C2×H(5,𝔽2)12yes—
391C25D4×C1111yescharacteristic
392C2×#41—22no—
393C2×#41—22no—
394C2×#41—48no—
395C2×#41C23×C1114yes—
396C2×#41C23×C1114yes—
397C22×Q8C23×C1112yes—
398C22×D4—22no—
399C22×D4—22no—
400C22×D4—22no—
401C22×D4C23×C1112yes—
402C23×C4—22no—
403C23×C4—44no—
404C23×C4D4×C1111yescharacteristic
405C23×C4D4×C1112yes—
406C23×C4D4×C1112yes—
407C23×C4D4×C1111yescharacteristic
408C23×C4D4×C1111yescharacteristic
409C23×C4C23×C1112yes—
410C23×C4C23×C1111yescharacteristic
411C23×C4C23×C1111yescharacteristic
412C23×C4C23×C1112yes—
413C23×C4C23×C1111yescharacteristic
414#135—48no—
415C2×Q16C23×C1114yescomplemented
416C2×SD16C23×C1118yescomplemented
417C2×D8C23×C1114yescomplemented
418C2×M16—44no—
419C2×M16C23×C1112yes—
420C2×M16C23×C1112yes—
421C2×M16C23×C1114yes—
422C22×C8C23×C1114yes—
423#123—24no—
424#123—24no—
425#123—24no—
426#123—24no—
427C22⋊Q8—22no—
428C22⋊Q8—22no—
429C22⋊Q8—22no—
430C22⋊Q8—22no—
431C22⋊Q8C23×C1114yes—
432C22⋊Q8C23×C1114yes—
433C22⋊Q8C23×C1114yes—
434C22⋊Q8C23×C1114yes—
435#121—22no—
436#121—22no—
437#121—22no—
438#121—22no—
439#121C23×C1114yes—
440#121C23×C1114yes—
441#121C23×C1114yes—
442#121C23×C1114yes—
443#120—24no—
444#120—24no—
445#120—24no—
446#120—24no—
447C4×D4—24no—
448C4×D4—24no—
449C4×D4—24no—
450C4×D4—24no—
451C4×D4—24no—
452C4×D4—24no—
453C4×D4—24no—
454C4×D4—24no—
455#117—22no—
456#117—22no—
457#117C23×C1114yes—
458#117C23×C1114yes—
459C2×C4⋊C4—22no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4C23×C1112yes—
462C2×C4⋊C4C23×C1112yes—
463C2×C22⋊C4—22no—
464C2×C22⋊C4—22no—
465C2×C22⋊C4—22no—
466C2×C22⋊C4—22no—
467C2×C22⋊C4—22no—
468C2×C42—22no—
469#107C23×C1118yescomplemented
470#106C23×C1114yescomplemented
471#106C23×C1114yescomplemented
472#103C23×C1118yescomplemented
473#103C23×C1118yescomplemented
474#102C23×C1118yescomplemented
475#102C23×C1118yescomplemented
476C22⋊C8C23×C1114yes—
477C22⋊C8C23×C1114yes—
478C22⋊C8C23×C1118yes—
479C2×C11—24no—
480C2×C11—22no—
481C2×C11—42no—
482C2×C11—41no—
483C2×C11—41no—
484C2×C11—84no—
485C2×C11C2×#53411yescharacteristic
486C2×C11C2×#57512yes—
487C24—22no—
488C24—42no—
489C24—44no—
490C24C2×D4×C1111yescharacteristic
491C24C2×D4×C1112yes—
492C24C2×D4×C1112yes—
493C24C2×D4×C1111yescharacteristic
494C24C2×D4×C1111yescharacteristic
495#41—216no—
496#41—48no—
497#41—48no—
498#41—48no—
499C2×Q8—22no—
500C2×Q8—44no—
501C2×Q8C24×C1114yes—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—22no—
509C2×D4—44no—
510C2×D4—48no—
511C2×D4—48no—
512C2×D4—48no—
513C2×D4C24×C1114yes—
514C22×C4—24no—
515C22×C4—28no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—44no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—48no—
530C22×C4C2×D4×C1112yes—
531C22×C4C2×D4×C1112yes—
532C22×C4C2×D4×C1112yes—
533C22×C4C2×D4×C1111yescharacteristic
534C22×C4C2×D4×C1111yescharacteristic
535C22×C4C2×D4×C1111yescharacteristic
536C22×C4C2×D4×C1112yes—
537C22×C4C2×D4×C1112yes—
538C22×C4C2×D4×C1111yescharacteristic
539C22×C4C2×D4×C1112yes—
540C22×C4C2×D4×C1112yes—
541C22×C4C2×D4×C1111yescharacteristic
542C22×C4C2×D4×C1112yes—
543C22×C4C24×C1112yes—
544C22×C4C24×C1112yes—
545C22×C4C24×C1111yescharacteristic
546C22×C4C24×C1111yescharacteristic
547C22×C4C24×C1111yescharacteristic
548Q16—44no—
549SD16—48no—
550D8—44no—
551M16—42no—
552M16—44no—
553M16—42no—
554C2×C8—28no—
555C2×C8C24×C1114yes—
556C2×C8C24×C1114yes—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4C24×C1114yes—
564C4⋊C4C24×C1114yes—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C42—24no—
576C42—24no—
577C11#6074111yescharacteristic, direct product factor, Sylow
578C23—24no—
579C23—22no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—41no—
585C23—42no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—44no—
592C23—44no—
593C23—416no—
594C23—44no—
595C23C22×D4×C1112yes—
596C23C22×D4×C1111yescharacteristic
597C23C22×D4×C1111yescharacteristic
598C23C22×D4×C1111yescharacteristic
599C23C22×D4×C1112yes—
600Q8—28no—
601Q8—44no—
602D4—28no—
603D4—44no—
604D4—48no—
605D4—48no—
606D4—48no—
607D4—48no—
608D4—48no—
609D4—48no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—48no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—44no—
634C2×C4—48no—
635C2×C4C22×D4×C1112yes—
636C2×C4C22×D4×C1111yescharacteristic
637C2×C4C22×D4×C1111yescharacteristic
638C2×C4C22×D4×C1112yes—
639C2×C4C22×D4×C1111yescharacteristic
640C2×C4C11×H(5,𝔽2)14yes—
641C2×C4C25×C1111yescharacteristic
642C8—24no—
643C8—24no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—21no—
649C22—21no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—44no—
655C22—48no—
656C22—48no—
657C22—44no—
658C22—44no—
659C22—44no—
660C22—44no—
661C22—44no—
662C22—88no—
663C22C11×#53412yes—
664C22C11×#57514yes—
665C22C23×D4×C1111yescharacteristic
666C4—22no—
667C4—22no—
668C4—21no—
669C4—21no—
670C4—44no—
671C4—44no—
672C4—44no—
673C4C11×#53412yes—
674C4C2×C11×H(5,𝔽2)12yes—
675C2—24no—
676C2—22no—
677C2—42no—
678C2—41no—
679C2—41no—
680C2—84no—
681C2C2×C11×#53411yescharacteristic
682C2C2×C11×#57512yes—
subgroupG/H
centerC2×C4×C11C22×D4
commutator, Frattini, cosocleC2×C4C25×C11
socleC22×C11C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C24×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#525C2semidirect
2. C11×#3197C2semidirect
3. C11×#3196C2semidirect
4. C11×#3195C2semidirect
5. C11×#3194C2semidirect
6. C11×#3193C2semidirect
7. C11×#3192C2semidirect
8. C11×#3091C2semidirect
9. C11×#3054C2semidirect
10. C11×#3002C2semidirect
11. C2×C11×#407C2semidirect
12. C22×C11×#41C22semidirect
14. C2×C11×#135C22semidirect
15. C22×C11×M16C22semidirect
22. C11×#525C22semidirect
23. C11×#525C22semidirect
26. C2×C11×C22⋊Q8C22semidirect
28. C2×C11×#121C22semidirect
32. C2×C11×#117C22semidirect
33. C11×#485C22semidirect
34. C11×#484C22semidirect
35. C11×#483C22semidirect
36. C11×#482C22semidirect
37. C11×#481C22semidirect
38. C11×#480C22semidirect
39. C11×#470C22semidirect
40. C11×#470C22semidirect
41. C11×#469C22semidirect
42. C11×#469C22semidirect
43. C11×#468C22semidirect
44. C11×#468C22semidirect
45. C11×#452C22semidirect
46. C11×#451C22semidirect
47. C11×#450C22semidirect
48. C11×#449C22semidirect
49. C11×#448C22semidirect
50. C11×#447C22semidirect
51. C11×#427C22semidirect
52. C11×#416C22semidirect
55. C11×#407C22semidirect
56. C11×#407C22semidirect
57. C2×C11×C22⋊C8C22semidirect
82. C2×C11×Q16C23semidirect
83. C2×C11×SD16C23semidirect
84. C2×C11×D8C23semidirect
136. C11×#107C23semidirect
137. C11×#106C23semidirect
138. C11×#106C23semidirect
139. C11×#103C23semidirect
140. C11×#103C23semidirect
141. C11×#102C23semidirect
142. C11×#102C23semidirect
146. #60741C11direct (N × H)
237. C2×#525C2×C11semidirect
238. #3197C2×C11semidirect
239. #3196C2×C11semidirect
240. #3195C2×C11semidirect
241. #3194C2×C11semidirect
242. #3193C2×C11semidirect
243. #3192C2×C11semidirect
244. #3091C2×C11semidirect
245. #3054C2×C11semidirect
246. #3002C2×C11semidirect
247. C2×#407C2×C11semidirect
314. C22×#41C22×C11semidirect
316. C2×#135C22×C11semidirect
317. C22×M16C22×C11semidirect
324. #525C22×C11semidirect
325. #525C22×C11semidirect
328. C2×C22⋊Q8C22×C11semidirect
330. C2×#121C22×C11semidirect
334. C2×#117C22×C11semidirect
335. #485C22×C11semidirect
336. #484C22×C11semidirect
337. #483C22×C11semidirect
338. #482C22×C11semidirect
339. #481C22×C11semidirect
340. #480C22×C11semidirect
341. #470C22×C11semidirect
342. #470C22×C11semidirect
343. #469C22×C11semidirect
344. #469C22×C11semidirect
345. #468C22×C11semidirect
346. #468C22×C11semidirect
347. #452C22×C11semidirect
348. #451C22×C11semidirect
349. #450C22×C11semidirect
350. #449C22×C11semidirect
351. #448C22×C11semidirect
352. #447C22×C11semidirect
353. #427C22×C11semidirect
354. #416C22×C11semidirect
357. #407C22×C11semidirect
358. #407C22×C11semidirect
359. C2×C22⋊C8C22×C11semidirect
415. C2×Q16C23×C11semidirect
416. C2×SD16C23×C11semidirect
417. C2×D8C23×C11semidirect
469. #107C23×C11semidirect
470. #106C23×C11semidirect
471. #106C23×C11semidirect
472. #103C23×C11semidirect
473. #103C23×C11semidirect
474. #102C23×C11semidirect
475. #102C23×C11semidirect
577. C11#60741direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5252
C11×#31972
C11×#31962
C11×#31952
C11×#31942
C11×#31932
C11×#31922
C11×#30912
C11×#30542
C11×#30022
C2×C11×#4072
#6074111