Finite Group Databasebeta

← C11×#21857 #14599050

Subgroups — C11×#21857 #14599050

Order 2816.

1108 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3444C211yesmaximal, characteristic
2C2×C11×#423C211yesmaximal, characteristic, complemented
3C11×#2283C211yesmaximal, characteristic, complemented
4C11×#1995C212yesmaximal, complemented
5C11×#1963C212yesmaximal, complemented
6C11×#1871C214yesmaximal, complemented
7C11×#1806C214yesmaximal, complemented
8C22×C11×M16C2212yes—
9C11×#533C411yescharacteristic, complemented
10C11×#533C411yescharacteristic, complemented
11C11×#533C2211yescharacteristic
12C11×#532C411yescharacteristic, complemented
13C11×#532C411yescharacteristic, complemented
14C11×#532C2211yescharacteristic
15C11×#529—21no—
16C11×#529—21no—
17C11×#529—21no—
18C11×#529—21no—
19C11×#529C412yescomplemented
20C11×#529C412yescomplemented
21C11×#525—21no—
22C11×#525—21no—
23C11×#525C2212yes—
24C4×C11×#41—21no—
25C4×C11×#41—21no—
26C4×C11×#41C2212yes—
27C22×C42×C11C2211yescharacteristic
28C11×#423—21no—
29C11×#423—21no—
30C11×#423C2212yes—
31C11×#423C2212yes—
32C2×C11×C4⋊C8—21no—
33C2×C11×C4⋊C8—21no—
34C2×C11×#104C2218yes—
35C11×#383—21no—
36C11×#382—21no—
37C11×#381—21no—
38C11×#380—21no—
39C4×C11×C4⋊C4C2212yes—
40C4×C11×C22⋊C4C2212yes—
41C11×#376C2212yes—
42C11×#339C2218yes—
43C2×C11×#41—21no—
44C2×C11×#41—21no—
45C2×C11×#41C2312yes—
46C23×C4×C11D411yescharacteristic
47C23×C4×C11D411yescharacteristic
48C23×C4×C11C2311yescharacteristic
49C2×C11×M16—22no—
50C2×C11×M16—44no—
51C2×C11×M16C2314yes—
52C22×C8×C11—22no—
53C11×C4⋊Q8C2×C411yescharacteristic
54C11×C4⋊Q8C2×C411yescharacteristic
55C11×C4⋊Q8C2×C411yescharacteristic
56C11×#127C2×C411yescharacteristic
57C11×#126—22no—
58C11×#126—22no—
59C11×#125—21no—
60C11×#125—21no—
61C11×#125C2×C412yes—
62C11×#124—21no—
63C11×#124—21no—
64C11×#124C2×C412yes—
65C11×#123—22no—
66C11×#123—22no—
67C11×#123—22no—
68C11×C22⋊Q8—21no—
69C11×C22⋊Q8—21no—
70C11×C22⋊Q8—21no—
71C11×C22⋊Q8—21no—
72C11×C22⋊Q8C2×C412yes—
73C11×C22⋊Q8C2×C412yes—
74C11×#121—21no—
75C11×#121—21no—
76C11×#121—21no—
77C11×#121—21no—
78C11×#121C2×C412yes—
79C11×#121C2×C412yes—
80C11×#120—22no—
81C4×Q8×C11—21no—
82C4×Q8×C11—21no—
83C4×Q8×C11—21no—
84C4×Q8×C11—21no—
85C4×Q8×C11C2×C412yes—
86C4×Q8×C11C2×C412yes—
87C4×D4×C11—22no—
88C4×D4×C11—22no—
89C4×D4×C11—22no—
90C4×D4×C11—22no—
91C4×D4×C11—22no—
92C4×D4×C11—22no—
93C4×D4×C11—21no—
94C4×D4×C11—21no—
95C4×D4×C11—21no—
96C4×D4×C11—21no—
97C4×D4×C11C2×C412yes—
98C4×D4×C11C2×C412yes—
99C11×#117—21no—
100C11×#117—21no—
101C11×#117—22no—
102C11×#117—22no—
103C11×#117—22no—
104C11×#117C2312yes—
105C2×C11×C4⋊C4—22no—
106C2×C11×C22⋊C4—22no—
107C2×C42×C11—22no—
108C2×C42×C11C2×C411yescharacteristic
109C2×C42×C11C2×C411yescharacteristic
110C2×C42×C11C2×C411yescharacteristic
111C2×C42×C11C2×C411yescharacteristic
112C2×C42×C11D411yescharacteristic
113C2×C42×C11D411yescharacteristic
114C2×C42×C11D411yescharacteristic
115C2×C42×C11D411yescharacteristic
116C2×C42×C11D411yescharacteristic
117C2×C42×C11D411yescharacteristic
118C2×C42×C11C2314yes—
119C2×C42×C11C2311yescharacteristic
120C2×C42×C11C2311yescharacteristic
121C11×C4⋊C8—22no—
122C11×C4⋊C8—22no—
123C11×C4⋊C8—22no—
124C11×C4⋊C8—22no—
125C11×#104—48no—
126C11×#95—22no—
127C11×#95—22no—
128C11×#95—22no—
129C11×#95—22no—
130#21857C1111yesmaximal, characteristic, direct product factor, Sylow
131C24×C11C2×D411yescharacteristic
132C11×#41—24no—
133C11×#41—24no—
134C11×#41—44no—
135C11×#41—44no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11C22×C412yes—
139C2×D4×C11—22no—
140C2×D4×C11—22no—
141C2×D4×C11—22no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11C22×C412yes—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—24no—
151C22×C4×C11—42no—
152C22×C4×C11—42no—
153C22×C4×C11C22⋊C411yescharacteristic
154C22×C4×C11C22⋊C411yescharacteristic
155C22×C4×C11C22⋊C411yescharacteristic
156C22×C4×C11C22⋊C411yescharacteristic
157C22×C4×C11C22⋊C411yescharacteristic
158C22×C4×C11C22⋊C411yescharacteristic
159C22×C4×C11C22⋊C411yescharacteristic
160C22×C4×C11C22⋊C411yescharacteristic
161C22×C4×C11C22×C411yescharacteristic
162C22×C4×C11C22×C411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2411yescharacteristic
171C11×M16—28no—
172C11×M16—44no—
173C2×C8×C11—24no—
174C2×C8×C11—44no—
175C11×C4⋊C4—21no—
176C11×C4⋊C4—21no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—22no—
182C11×C4⋊C4—22no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—44no—
186C11×C4⋊C4C22×C412yes—
187C11×C4⋊C4C22×C412yes—
188C11×C22⋊C4—22no—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—22no—
194C11×C22⋊C4—22no—
195C11×C22⋊C4—22no—
196C11×C22⋊C4—22no—
197C11×C22⋊C4—44no—
198C42×C11—22no—
199C42×C11—22no—
200C42×C11—22no—
201C42×C11—24no—
202C42×C11—24no—
203C42×C11C22⋊C411yescharacteristic
204C42×C11C22⋊C411yescharacteristic
205C42×C11C22⋊C411yescharacteristic
206C42×C11C22⋊C411yescharacteristic
207C42×C11C22⋊C411yescharacteristic
208C42×C11C22⋊C411yescharacteristic
209C42×C11C22⋊C411yescharacteristic
210C42×C11C22⋊C411yescharacteristic
211C42×C11C22×C411yescharacteristic
212C42×C11C22×C411yescharacteristic
213C42×C11C22×C411yescharacteristic
214C42×C11C22×C411yescharacteristic
215C42×C11C2×D411yescharacteristic
216C42×C11C2×D411yescharacteristic
217C42×C11C2×D411yescharacteristic
218C42×C11C2×D411yescharacteristic
219#3444C2×C1111yescharacteristic
220C2×#423C2×C1111yescharacteristic, complemented
221#2283C2×C1111yescharacteristic, complemented
222#1995C2×C1112yescomplemented
223#1963C2×C1112yescomplemented
224#1871C2×C1114yescomplemented
225#1806C2×C1114yescomplemented
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—22no—
229C23×C11—41no—
230C23×C11C2×C22⋊C411yescharacteristic
231C23×C11C2×C22⋊C411yescharacteristic
232C23×C11C22×D411yescharacteristic
233Q8×C11—24no—
234Q8×C11—42no—
235Q8×C11—42no—
236D4×C11—24no—
237D4×C11—42no—
238D4×C11—42no—
239D4×C11—44no—
240D4×C11—44no—
241D4×C11—44no—
242C2×C4×C11—22no—
243C2×C4×C11—22no—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—22no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—41no—
258C2×C4×C11—41no—
259C2×C4×C11—41no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—44no—
265C2×C4×C11—42no—
266C2×C4×C11—42no—
267C2×C4×C11—44no—
268C2×C4×C11—44no—
269C2×C4×C11—44no—
270C2×C4×C11—44no—
271C2×C4×C11C2×C22⋊C411yescharacteristic
272C2×C4×C11C2×C22⋊C411yescharacteristic
273C2×C4×C11C2×C22⋊C411yescharacteristic
274C2×C4×C11C2×C22⋊C411yescharacteristic
275C2×C4×C11C2×C22⋊C411yescharacteristic
276C2×C4×C11C2×C22⋊C411yescharacteristic
277C2×C4×C11C2×C22⋊C411yescharacteristic
278C2×C4×C11C2×C22⋊C411yescharacteristic
279C2×C4×C11C2×C22⋊C411yescharacteristic
280C2×C4×C11C2×C22⋊C411yescharacteristic
281C2×C4×C11C23×C411yescharacteristic
282C2×C4×C11C22×D411yescharacteristic
283C2×C4×C11H(5,𝔽2)12yes—
284C2×C4×C112−1+412yes—
285C8×C11—44no—
286C22×M16C22×C1112yes—
287#533C4×C1111yescharacteristic, complemented
288#533C4×C1111yescharacteristic, complemented
289#533C22×C1111yescharacteristic
290#532C4×C1111yescharacteristic, complemented
291#532C4×C1111yescharacteristic, complemented
292#532C22×C1111yescharacteristic
293#529—21no—
294#529—21no—
295#529—21no—
296#529—21no—
297#529C4×C1112yescomplemented
298#529C4×C1112yescomplemented
299#525—21no—
300#525—21no—
301#525C22×C1112yes—
302C4×#41—21no—
303C4×#41—21no—
304C4×#41C22×C1112yes—
305C22×C42C22×C1111yescharacteristic
306#423—21no—
307#423—21no—
308#423C22×C1112yes—
309#423C22×C1112yes—
310C2×C4⋊C8—21no—
311C2×C4⋊C8—21no—
312C2×#104C22×C1118yes—
313#383—21no—
314#382—21no—
315#381—21no—
316#380—21no—
317C4×C4⋊C4C22×C1112yes—
318C4×C22⋊C4C22×C1112yes—
319#376C22×C1112yes—
320#339C22×C1118yes—
321C22×C11—21no—
322C22×C11—21no—
323C22×C11—21no—
324C22×C11—21no—
325C22×C11—21no—
326C22×C11—21no—
327C22×C11—21no—
328C22×C11—44no—
329C22×C11—42no—
330C22×C11—42no—
331C22×C11—42no—
332C22×C11#42112yes—
333C22×C11C22×C22⋊C411yescharacteristic
334C22×C11#53712yes—
335C4×C11—21no—
336C4×C11—21no—
337C4×C11—21no—
338C4×C11—21no—
339C4×C11—21no—
340C4×C11—21no—
341C4×C11—21no—
342C4×C11—21no—
343C4×C11—21no—
344C4×C11—42no—
345C4×C11—42no—
346C4×C11—42no—
347C4×C11—84no—
348C4×C11#42112yes—
349C4×C11#52012yes—
350C4×C11#53511yescharacteristic
351C4×C11#53611yescharacteristic
352C2×#41—21no—
353C2×#41—21no—
354C2×#41C23×C1112yes—
355C23×C4D4×C1111yescharacteristic
356C23×C4D4×C1111yescharacteristic
357C23×C4C23×C1111yescharacteristic
358C2×M16—22no—
359C2×M16—44no—
360C2×M16C23×C1114yes—
361C22×C8—22no—
362C4⋊Q8C2×C4×C1111yescharacteristic
363C4⋊Q8C2×C4×C1111yescharacteristic
364C4⋊Q8C2×C4×C1111yescharacteristic
365#127C2×C4×C1111yescharacteristic
366#126—22no—
367#126—22no—
368#125—21no—
369#125—21no—
370#125C2×C4×C1112yes—
371#124—21no—
372#124—21no—
373#124C2×C4×C1112yes—
374#123—22no—
375#123—22no—
376#123—22no—
377C22⋊Q8—21no—
378C22⋊Q8—21no—
379C22⋊Q8—21no—
380C22⋊Q8—21no—
381C22⋊Q8C2×C4×C1112yes—
382C22⋊Q8C2×C4×C1112yes—
383#121—21no—
384#121—21no—
385#121—21no—
386#121—21no—
387#121C2×C4×C1112yes—
388#121C2×C4×C1112yes—
389#120—22no—
390C4×Q8—21no—
391C4×Q8—21no—
392C4×Q8—21no—
393C4×Q8—21no—
394C4×Q8C2×C4×C1112yes—
395C4×Q8C2×C4×C1112yes—
396C4×D4—22no—
397C4×D4—22no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—22no—
402C4×D4—21no—
403C4×D4—21no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4C2×C4×C1112yes—
407C4×D4C2×C4×C1112yes—
408#117—21no—
409#117—21no—
410#117—22no—
411#117—22no—
412#117—22no—
413#117C23×C1112yes—
414C2×C4⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C42—22no—
417C2×C42C2×C4×C1111yescharacteristic
418C2×C42C2×C4×C1111yescharacteristic
419C2×C42C2×C4×C1111yescharacteristic
420C2×C42C2×C4×C1111yescharacteristic
421C2×C42D4×C1111yescharacteristic
422C2×C42D4×C1111yescharacteristic
423C2×C42D4×C1111yescharacteristic
424C2×C42D4×C1111yescharacteristic
425C2×C42D4×C1111yescharacteristic
426C2×C42D4×C1111yescharacteristic
427C2×C42C23×C1114yes—
428C2×C42C23×C1111yescharacteristic
429C2×C42C23×C1111yescharacteristic
430C4⋊C8—22no—
431C4⋊C8—22no—
432C4⋊C8—22no—
433C4⋊C8—22no—
434#104—48no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439C2×C11—22no—
440C2×C11—22no—
441C2×C11—41no—
442C2×C11—82no—
443C2×C11#231111yescharacteristic
444C2×C11C2×#42111yescharacteristic
445C2×C11C2×#42111yescharacteristic
446C24C2×D4×C1111yescharacteristic
447#41—24no—
448#41—24no—
449#41—44no—
450#41—44no—
451C2×Q8—21no—
452C2×Q8—21no—
453C2×Q8C22×C4×C1112yes—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4C22×C4×C1112yes—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4C11×C22⋊C411yescharacteristic
469C22×C4C11×C22⋊C411yescharacteristic
470C22×C4C11×C22⋊C411yescharacteristic
471C22×C4C11×C22⋊C411yescharacteristic
472C22×C4C11×C22⋊C411yescharacteristic
473C22×C4C11×C22⋊C411yescharacteristic
474C22×C4C11×C22⋊C411yescharacteristic
475C22×C4C11×C22⋊C411yescharacteristic
476C22×C4C22×C4×C1111yescharacteristic
477C22×C4C22×C4×C1111yescharacteristic
478C22×C4C2×D4×C1111yescharacteristic
479C22×C4C2×D4×C1111yescharacteristic
480C22×C4C2×D4×C1111yescharacteristic
481C22×C4C2×D4×C1111yescharacteristic
482C22×C4C2×D4×C1111yescharacteristic
483C22×C4C2×D4×C1111yescharacteristic
484C22×C4C2×D4×C1111yescharacteristic
485C22×C4C24×C1111yescharacteristic
486M16—28no—
487M16—44no—
488C2×C8—24no—
489C2×C8—44no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—22no—
495C4⋊C4—22no—
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—22no—
500C4⋊C4—44no—
501C4⋊C4C22×C4×C1112yes—
502C4⋊C4C22×C4×C1112yes—
503C22⋊C4—22no—
504C22⋊C4—22no—
505C22⋊C4—22no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—44no—
513C42—22no—
514C42—22no—
515C42—22no—
516C42—24no—
517C42—24no—
518C42C11×C22⋊C411yescharacteristic
519C42C11×C22⋊C411yescharacteristic
520C42C11×C22⋊C411yescharacteristic
521C42C11×C22⋊C411yescharacteristic
522C42C11×C22⋊C411yescharacteristic
523C42C11×C22⋊C411yescharacteristic
524C42C11×C22⋊C411yescharacteristic
525C42C11×C22⋊C411yescharacteristic
526C42C22×C4×C1111yescharacteristic
527C42C22×C4×C1111yescharacteristic
528C42C22×C4×C1111yescharacteristic
529C42C22×C4×C1111yescharacteristic
530C42C2×D4×C1111yescharacteristic
531C42C2×D4×C1111yescharacteristic
532C42C2×D4×C1111yescharacteristic
533C42C2×D4×C1111yescharacteristic
534C11#2185711yescharacteristic, direct product factor, Sylow
535C23—22no—
536C23—22no—
537C23—22no—
538C23—41no—
539C23C2×C11×C22⋊C411yescharacteristic
540C23C2×C11×C22⋊C411yescharacteristic
541C23C22×D4×C1111yescharacteristic
542Q8—24no—
543Q8—42no—
544Q8—42no—
545D4—24no—
546D4—42no—
547D4—42no—
548D4—44no—
549D4—44no—
550D4—44no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—44no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—44no—
577C2×C4—44no—
578C2×C4—44no—
579C2×C4—44no—
580C2×C4C2×C11×C22⋊C411yescharacteristic
581C2×C4C2×C11×C22⋊C411yescharacteristic
582C2×C4C2×C11×C22⋊C411yescharacteristic
583C2×C4C2×C11×C22⋊C411yescharacteristic
584C2×C4C2×C11×C22⋊C411yescharacteristic
585C2×C4C2×C11×C22⋊C411yescharacteristic
586C2×C4C2×C11×C22⋊C411yescharacteristic
587C2×C4C2×C11×C22⋊C411yescharacteristic
588C2×C4C2×C11×C22⋊C411yescharacteristic
589C2×C4C2×C11×C22⋊C411yescharacteristic
590C2×C4C23×C4×C1111yescharacteristic
591C2×C4C22×D4×C1111yescharacteristic
592C2×C4C11×H(5,𝔽2)12yes—
593C2×C4C11×2−1+412yes—
594C8—44no—
595C22—21no—
596C22—21no—
597C22—21no—
598C22—21no—
599C22—21no—
600C22—21no—
601C22—21no—
602C22—44no—
603C22—42no—
604C22—42no—
605C22—42no—
606C22C11×#42112yes—
607C22C22×C11×C22⋊C411yescharacteristic
608C22C11×#53712yes—
609C4—21no—
610C4—21no—
611C4—21no—
612C4—21no—
613C4—21no—
614C4—21no—
615C4—21no—
616C4—21no—
617C4—21no—
618C4—42no—
619C4—42no—
620C4—42no—
621C4—84no—
622C4C11×#42112yes—
623C4C11×#52012yes—
624C4C11×#53511yescharacteristic
625C4C11×#53611yescharacteristic
626C2—22no—
627C2—22no—
628C2—41no—
629C2—82no—
630C2C11×#231111yescharacteristic
631C2C2×C11×#42111yescharacteristic
632C2C2×C11×#42111yescharacteristic
subgroupG/H
centerC2×C4×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
socleC22×C11C22×C22⋊C4
prime radicalC11×#3444C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#423C2semidirect
3. C11×#2283C2semidirect
4. C11×#1995C2semidirect
5. C11×#1963C2semidirect
6. C11×#1871C2semidirect
7. C11×#1806C2semidirect
9. C11×#533C4semidirect
10. C11×#533C4semidirect
12. C11×#532C4semidirect
13. C11×#532C4semidirect
19. C11×#529C4semidirect
20. C11×#529C4semidirect
130. #21857C11direct (N × H)
220. C2×#423C2×C11semidirect
221. #2283C2×C11semidirect
222. #1995C2×C11semidirect
223. #1963C2×C11semidirect
224. #1871C2×C11semidirect
225. #1806C2×C11semidirect
287. #533C4×C11semidirect
288. #533C4×C11semidirect
290. #532C4×C11semidirect
291. #532C4×C11semidirect
297. #529C4×C11semidirect
298. #529C4×C11semidirect
534. C11#21857direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34442
C2×C11×#4232
C11×#22832
C11×#19952
C11×#19632
C11×#18712
C11×#18062
#2185711