Finite Group Databasebeta

← C11×#18456 #14595649

Subgroups — C11×#18456 #14595649

Order 2816.

996 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3536C211yesmaximal, characteristic, complemented
2C11×#3194C211yesmaximal, characteristic, complemented
3C11×#3186C211yesmaximal, characteristic, complemented
4C11×#2816C211yesmaximal, characteristic, complemented
5C11×#1610C212yesmaximal, complemented
6C11×#1609C212yesmaximal, complemented
7C11×#1598C212yesmaximal, complemented
8C11×#1597C212yesmaximal, complemented
9C11×#1516C211yesmaximal, characteristic, complemented
10C11×#1510C211yesmaximal, characteristic, complemented
11C11×#1472C211yesmaximal, characteristic, complemented
12C11×#562—22no—
13C11×#554—21no—
14C11×#548—21no—
15C11×#547—21no—
16C11×#546—21no—
17C11×#546—22no—
18C11×#543—21no—
19C11×#542—21no—
20C11×#539C2212yes—
21C11×#538—21no—
22C11×#537—21no—
23C11×#537C2212yes—
24C11×#525C2211yescharacteristic
25C2×C11×C22⋊Q8C2211yescharacteristic
26C2×C11×#121C2211yescharacteristic
27C2×C11×#121C2211yescharacteristic
28C11×#483C2211yescharacteristic, complemented
29C11×#482—21no—
30C11×#480—21no—
31C11×#480C2212yes—
32C11×#480C2211yescharacteristic, complemented
33C11×#469—21no—
34C11×#468—21no—
35C11×#466—22no—
36C11×#450C2211yescharacteristic, complemented
37C11×#449—21no—
38C11×#447—21no—
39C11×#447C2212yes—
40C11×#447C2211yescharacteristic, complemented
41C11×#407C2211yescharacteristic
42C2×C11×C22⋊C8C2211yescharacteristic
43C11×#399—21no—
44C11×#398C2212yescomplemented
45C11×#394—22no—
46C11×#394C2212yescomplemented
47C11×#393—21no—
48C11×#381C2211yescharacteristic
49C11×#328C2212yescomplemented
50C11×#327C2212yes—
51C11×#327C2212yes—
52C11×#327C2212yescomplemented
53C11×#324C2212yescomplemented
54C11×#324C2212yescomplemented
55C2×C11×#41—21no—
56C2×C11×#41—22no—
57C2×C11×#41D411yescharacteristic
58C22×Q8×C11D411yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11—21no—
61C22×D4×C11D411yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C2×C11×SD16—21no—
65C2×C11×D8—22no—
66C2×C11×D8—21no—
67C2×C11×M16—21no—
68C22×C8×C11—21no—
69C11×C4⋊Q8—21no—
70C11×#126—22no—
71C11×#125—22no—
72C11×#124—22no—
73C11×#124—21no—
74C11×#124—22no—
75C11×#123—22no—
76C11×#123—22no—
77C11×#123—22no—
78C11×#123—21no—
79C11×#123—22no—
80C11×C22⋊Q8—21no—
81C11×C22⋊Q8—22no—
82C11×C22⋊Q8—22no—
83C11×C22⋊Q8—22no—
84C11×C22⋊Q8—22no—
85C11×C22⋊Q8—21no—
86C11×C22⋊Q8—21no—
87C11×C22⋊Q8—21no—
88C11×C22⋊Q8—21no—
89C11×C22⋊Q8—22no—
90C11×C22⋊Q8—22no—
91C11×C22⋊Q8D411yescharacteristic
92C11×C22⋊Q8C2311yescharacteristic
93C11×#121—21no—
94C11×#121—22no—
95C11×#121—22no—
96C11×#121—22no—
97C11×#121—22no—
98C11×#121—21no—
99C11×#121—21no—
100C11×#121—22no—
101C11×#121—21no—
102C11×#121—21no—
103C11×#121—21no—
104C11×#121—21no—
105C11×#121D412yes—
106C11×#121D411yescharacteristic
107C11×#121C2312yes—
108C11×#121C2311yescharacteristic
109C11×#120—22no—
110C11×#120—21no—
111C4×Q8×C11—21no—
112C4×D4×C11—22no—
113C4×D4×C11—21no—
114C4×D4×C11—21no—
115C4×D4×C11—21no—
116C4×D4×C11—22no—
117C11×#117D411yescharacteristic
118C2×C11×C4⋊C4—21no—
119C2×C11×C4⋊C4—22no—
120C2×C11×C4⋊C4D411yescharacteristic
121C2×C11×C4⋊C4D411yescharacteristic
122C2×C11×C4⋊C4C2311yescharacteristic
123C2×C11×C4⋊C4C2312yes—
124C2×C11×C22⋊C4—22no—
125C2×C11×C22⋊C4—21no—
126C2×C11×C22⋊C4—21no—
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4D412yes—
131C11×#107—22no—
132C11×#107—21no—
133C11×#106—21no—
134C11×#103—21no—
135C11×#102—22no—
136C11×#102—21no—
137C11×#102—22no—
138C11×#102—21no—
139C11×#102—21no—
140C11×C22⋊C8—21no—
141C11×C22⋊C8—21no—
142C11×C22⋊C8C2311yescharacteristic
143C11×C22⋊C8C2311yescharacteristic
144C11×C22⋊C8C2312yes—
145C11×#95—21no—
146C11×#95—22no—
147C11×#95C2312yes—
148#18456C1111yesmaximal, characteristic, direct product factor, Sylow
149C24×C11—21no—
150C24×C11—21no—
151C24×C11C2×D411yescharacteristic
152C11×#41—82no—
153C11×#41—82no—
154C11×#41—81no—
155C11×#41—82no—
156C2×Q8×C11—22no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—81no—
160C2×Q8×C11C2×D411yescharacteristic
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11—22no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—21no—
167C2×D4×C11—22no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11—21no—
171C2×D4×C11—41no—
172C2×D4×C11—41no—
173C2×D4×C11—81no—
174C2×D4×C11—81no—
175C2×D4×C11—82no—
176C2×D4×C11—82no—
177C2×D4×C11C2×D411yescharacteristic
178C2×D4×C11C2×D412yes—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—22no—
185C22×C4×C11—21no—
186C22×C4×C11—81no—
187C22×C4×C11C2×D412yes—
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2411yescharacteristic
195C11×SD16—81no—
196C11×D8—82no—
197C11×D8—81no—
198C11×M16—81no—
199C2×C8×C11—22no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—81no—
203C11×C4⋊C4—22no—
204C11×C4⋊C4—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—21no—
216C11×C4⋊C4—82no—
217C11×C4⋊C4C2×D411yescharacteristic
218C11×C4⋊C4C2×D412yes—
219C11×C4⋊C4C2×D411yescharacteristic
220C11×C22⋊C4—22no—
221C11×C22⋊C4—22no—
222C11×C22⋊C4—22no—
223C11×C22⋊C4—22no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—21no—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—21no—
229C11×C22⋊C4—21no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—21no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—21no—
234C11×C22⋊C4—41no—
235C11×C22⋊C4—41no—
236C11×C22⋊C4—82no—
237C11×C22⋊C4—82no—
238C11×C22⋊C4—81no—
239C42×C11—22no—
240C42×C11—21no—
241#3536C2×C1111yescharacteristic, complemented
242#3194C2×C1111yescharacteristic, complemented
243#3186C2×C1111yescharacteristic, complemented
244#2816C2×C1111yescharacteristic, complemented
245#1610C2×C1112yescomplemented
246#1609C2×C1112yescomplemented
247#1598C2×C1112yescomplemented
248#1597C2×C1112yescomplemented
249#1516C2×C1111yescharacteristic, complemented
250#1510C2×C1111yescharacteristic, complemented
251#1472C2×C1111yescharacteristic, complemented
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—21no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11—42no—
260C23×C11—41no—
261C23×C11—42no—
262C23×C11—81no—
263C23×C11—81no—
264C23×C11#12011yescharacteristic
265C23×C11#12011yescharacteristic
266C23×C11C22×D411yescharacteristic
267Q8×C11—41no—
268Q8×C11—42no—
269Q8×C11—81no—
270Q8×C11—82no—
271D4×C11—42no—
272D4×C11—41no—
273D4×C11—42no—
274D4×C11—42no—
275D4×C11—41no—
276D4×C11—41no—
277D4×C11—42no—
278D4×C11—42no—
279D4×C11—42no—
280D4×C11—42no—
281D4×C11—82no—
282D4×C11—81no—
283D4×C11—82no—
284D4×C11—82no—
285D4×C11—82no—
286D4×C11—82no—
287C2×C4×C11—21no—
288C2×C4×C11—22no—
289C2×C4×C11—21no—
290C2×C4×C11—22no—
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11—41no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—81no—
309C2×C4×C11—82no—
310C2×C4×C11—82no—
311C2×C4×C11—82no—
312C2×C4×C11#12011yescharacteristic
313C2×C4×C11#12011yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C22×D411yescharacteristic
316C8×C11—42no—
317C8×C11—41no—
318C8×C11—41no—
319#562—22no—
320#554—21no—
321#548—21no—
322#547—21no—
323#546—21no—
324#546—22no—
325#543—21no—
326#542—21no—
327#539C22×C1112yes—
328#538—21no—
329#537—21no—
330#537C22×C1112yes—
331#525C22×C1111yescharacteristic
332C2×C22⋊Q8C22×C1111yescharacteristic
333C2×#121C22×C1111yescharacteristic
334C2×#121C22×C1111yescharacteristic
335#483C22×C1111yescharacteristic, complemented
336#482—21no—
337#480—21no—
338#480C22×C1112yes—
339#480C22×C1111yescharacteristic, complemented
340#469—21no—
341#468—21no—
342#466—22no—
343#450C22×C1111yescharacteristic, complemented
344#449—21no—
345#447—21no—
346#447C22×C1112yes—
347#447C22×C1111yescharacteristic, complemented
348#407C22×C1111yescharacteristic
349C2×C22⋊C8C22×C1111yescharacteristic
350#399—21no—
351#398C22×C1112yescomplemented
352#394—22no—
353#394C22×C1112yescomplemented
354#393—21no—
355#381C22×C1111yescharacteristic
356#328C22×C1112yescomplemented
357#327C22×C1112yes—
358#327C22×C1112yes—
359#327C22×C1112yescomplemented
360#324C22×C1112yescomplemented
361#324C22×C1112yescomplemented
362C22×C11—21no—
363C22×C11—21no—
364C22×C11—21no—
365C22×C11—21no—
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—41no—
371C22×C11—42no—
372C22×C11—41no—
373C22×C11—42no—
374C22×C11—41no—
375C22×C11—42no—
376C22×C11—82no—
377C22×C11—84no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—162no—
382C22×C11C2×#12011yescharacteristic
383C22×C11#57612yes—
384C4×C11—21no—
385C4×C11—21no—
386C4×C11—21no—
387C4×C11—21no—
388C4×C11—42no—
389C4×C11—42no—
390C4×C11—41no—
391C4×C11—41no—
392C4×C11—41no—
393C4×C11—42no—
394C4×C11—82no—
395C4×C11—81no—
396C2×#41—21no—
397C2×#41—22no—
398C2×#41D4×C1111yescharacteristic
399C22×Q8D4×C1111yescharacteristic
400C22×D4—21no—
401C22×D4—21no—
402C22×D4D4×C1111yescharacteristic
403C22×D4C23×C1111yescharacteristic
404C23×C4C23×C1111yescharacteristic
405C2×SD16—21no—
406C2×D8—22no—
407C2×D8—21no—
408C2×M16—21no—
409C22×C8—21no—
410C4⋊Q8—21no—
411#126—22no—
412#125—22no—
413#124—22no—
414#124—21no—
415#124—22no—
416#123—22no—
417#123—22no—
418#123—22no—
419#123—21no—
420#123—22no—
421C22⋊Q8—21no—
422C22⋊Q8—22no—
423C22⋊Q8—22no—
424C22⋊Q8—22no—
425C22⋊Q8—22no—
426C22⋊Q8—21no—
427C22⋊Q8—21no—
428C22⋊Q8—21no—
429C22⋊Q8—21no—
430C22⋊Q8—22no—
431C22⋊Q8—22no—
432C22⋊Q8D4×C1111yescharacteristic
433C22⋊Q8C23×C1111yescharacteristic
434#121—21no—
435#121—22no—
436#121—22no—
437#121—22no—
438#121—22no—
439#121—21no—
440#121—21no—
441#121—22no—
442#121—21no—
443#121—21no—
444#121—21no—
445#121—21no—
446#121D4×C1112yes—
447#121D4×C1111yescharacteristic
448#121C23×C1112yes—
449#121C23×C1111yescharacteristic
450#120—22no—
451#120—21no—
452C4×Q8—21no—
453C4×D4—22no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—21no—
457C4×D4—22no—
458#117D4×C1111yescharacteristic
459C2×C4⋊C4—21no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4D4×C1111yescharacteristic
462C2×C4⋊C4D4×C1111yescharacteristic
463C2×C4⋊C4C23×C1111yescharacteristic
464C2×C4⋊C4C23×C1112yes—
465C2×C22⋊C4—22no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—22no—
470C2×C22⋊C4—22no—
471C2×C22⋊C4D4×C1112yes—
472#107—22no—
473#107—21no—
474#106—21no—
475#103—21no—
476#102—22no—
477#102—21no—
478#102—22no—
479#102—21no—
480#102—21no—
481C22⋊C8—21no—
482C22⋊C8—21no—
483C22⋊C8C23×C1111yescharacteristic
484C22⋊C8C23×C1111yescharacteristic
485C22⋊C8C23×C1112yes—
486#95—21no—
487#95—22no—
488#95C23×C1112yes—
489C2×C11—22no—
490C2×C11—41no—
491C2×C11—41no—
492C2×C11—81no—
493C2×C11—82no—
494C2×C11—161no—
495C2×C11#300811yescharacteristic
496C2×C11#302011yescharacteristic
497C2×C11#302611yescharacteristic
498C24—21no—
499C24—21no—
500C24C2×D4×C1111yescharacteristic
501#41—82no—
502#41—82no—
503#41—81no—
504#41—82no—
505C2×Q8—22no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—81no—
509C2×Q8C2×D4×C1111yescharacteristic
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—21no—
516C2×D4—22no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—81no—
523C2×D4—81no—
524C2×D4—82no—
525C2×D4—82no—
526C2×D4C2×D4×C1111yescharacteristic
527C2×D4C2×D4×C1112yes—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—81no—
536C22×C4C2×D4×C1112yes—
537C22×C4C2×D4×C1112yes—
538C22×C4C2×D4×C1111yescharacteristic
539C22×C4C2×D4×C1111yescharacteristic
540C22×C4C2×D4×C1111yescharacteristic
541C22×C4C2×D4×C1111yescharacteristic
542C22×C4C2×D4×C1111yescharacteristic
543C22×C4C24×C1111yescharacteristic
544SD16—81no—
545D8—82no—
546D8—81no—
547M16—81no—
548C2×C8—22no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—81no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—82no—
566C4⋊C4C2×D4×C1111yescharacteristic
567C4⋊C4C2×D4×C1112yes—
568C4⋊C4C2×D4×C1111yescharacteristic
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—21no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—21no—
581C22⋊C4—22no—
582C22⋊C4—21no—
583C22⋊C4—41no—
584C22⋊C4—41no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—81no—
588C42—22no—
589C42—21no—
590C11#1845611yescharacteristic, direct product factor, Sylow
591C23—22no—
592C23—22no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—41no—
600C23—42no—
601C23—81no—
602C23—81no—
603C23C11×#12011yescharacteristic
604C23C11×#12011yescharacteristic
605C23C22×D4×C1111yescharacteristic
606Q8—41no—
607Q8—42no—
608Q8—81no—
609Q8—82no—
610D4—42no—
611D4—41no—
612D4—42no—
613D4—42no—
614D4—41no—
615D4—41no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—82no—
621D4—81no—
622D4—82no—
623D4—82no—
624D4—82no—
625D4—82no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—81no—
648C2×C4—82no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4C11×#12011yescharacteristic
652C2×C4C11×#12011yescharacteristic
653C2×C4C22×D4×C1111yescharacteristic
654C2×C4C22×D4×C1111yescharacteristic
655C8—42no—
656C8—41no—
657C8—41no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—82no—
673C22—84no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—162no—
678C22C2×C11×#12011yescharacteristic
679C22C11×#57612yes—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—21no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—82no—
691C4—81no—
692C2—22no—
693C2—41no—
694C2—41no—
695C2—82no—
696C2—81no—
697C2—161no—
698C2C11×#300811yescharacteristic
699C2C11×#302011yescharacteristic
700C2C11×#302611yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3536C2semidirect
2. C11×#3194C2semidirect
3. C11×#3186C2semidirect
4. C11×#2816C2semidirect
5. C11×#1610C2semidirect
6. C11×#1609C2semidirect
7. C11×#1598C2semidirect
8. C11×#1597C2semidirect
9. C11×#1516C2semidirect
10. C11×#1510C2semidirect
11. C11×#1472C2semidirect
28. C11×#483C22semidirect
32. C11×#480C22semidirect
36. C11×#450C22semidirect
40. C11×#447C22semidirect
44. C11×#398C22semidirect
46. C11×#394C22semidirect
49. C11×#328C22semidirect
52. C11×#327C22semidirect
53. C11×#324C22semidirect
54. C11×#324C22semidirect
148. #18456C11direct (N × H)
241. #3536C2×C11semidirect
242. #3194C2×C11semidirect
243. #3186C2×C11semidirect
244. #2816C2×C11semidirect
245. #1610C2×C11semidirect
246. #1609C2×C11semidirect
247. #1598C2×C11semidirect
248. #1597C2×C11semidirect
249. #1516C2×C11semidirect
250. #1510C2×C11semidirect
251. #1472C2×C11semidirect
335. #483C22×C11semidirect
339. #480C22×C11semidirect
343. #450C22×C11semidirect
347. #447C22×C11semidirect
351. #398C22×C11semidirect
353. #394C22×C11semidirect
356. #328C22×C11semidirect
359. #327C22×C11semidirect
360. #324C22×C11semidirect
361. #324C22×C11semidirect
590. C11#18456direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35362
C11×#31942
C11×#31862
C11×#28162
C11×#16102
C11×#16092
C11×#15982
C11×#15972
C11×#15162
C11×#15102
C11×#14722
#1845611