Finite Group Databasebeta

← C11×#24386 #14601579

Subgroups — C11×#24386 #14601579

Order 2816.

1548 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×C22⋊Q8C211yesmaximal, characteristic
2C2×C11×#470C212yesmaximal, complemented
3C2×C11×#451C211yesmaximal, characteristic, complemented
4C2×C11×#407C211yesmaximal, characteristic
5C11×#2848C211yesmaximal, characteristic
6C11×#2035C212yesmaximal, complemented
7C11×#2001C212yesmaximal, complemented
8C11×#1894C212yesmaximal, complemented
9C11×#1872C211yesmaximal, characteristic, complemented
10C11×#1853C211yesmaximal, characteristic, complemented
11C11×#1787C211yesmaximal, characteristic, complemented
12C23×Q8×C11C2211yescharacteristic
13C24×C4×C11C2211yescharacteristic
14C22×C11×Q16C2212yescomplemented
15C22×C11×M16C2212yes—
16C2×C11×C22⋊Q8—21no—
17C2×C11×C22⋊Q8—21no—
18C2×C11×C22⋊Q8—28no—
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×C11×C22⋊Q8C2212yes—
21C2×C11×C22⋊Q8C2211yescharacteristic
22C2×C11×C22⋊Q8C2212yes—
23C2×C11×C22⋊Q8C2211yescharacteristic
24C22×C11×C4⋊C4—21no—
25C22×C11×C4⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4—21no—
27C11×#470—28no—
28C11×#451—24no—
29C2×C11×#106C2212yescomplemented
30C2×C11×#103C2212yescomplemented
31C2×C11×#103C2212yescomplemented
32C2×C11×#103C2212yescomplemented
33C2×C11×#103C2212yescomplemented
34C11×#407—24no—
35C2×C11×C22⋊C8C2211yescharacteristic
36C2×C11×C22⋊C8C2212yes—
37C2×C11×C22⋊C8C2211yescharacteristic
38C11×#385—21no—
39C11×#385—21no—
40C11×#385—21no—
41C11×#380C2211yescharacteristic
42C11×#380C2211yescharacteristic
43C11×#380C2211yescharacteristic
44C11×#379—21no—
45C11×#340C2212yescomplemented
46C11×#340C2212yescomplemented
47C25×C11D411yescharacteristic
48C22×Q8×C11—24no—
49C22×Q8×C11—21no—
50C22×Q8×C11—22no—
51C22×Q8×C11—22no—
52C22×Q8×C11—42no—
53C22×Q8×C11C2311yescharacteristic
54C22×Q8×C11C2312yes—
55C23×C4×C11—21no—
56C23×C4×C11—21no—
57C23×C4×C11—24no—
58C23×C4×C11—22no—
59C23×C4×C11—22no—
60C23×C4×C11—42no—
61C23×C4×C11D411yescharacteristic
62C23×C4×C11D411yescharacteristic
63C23×C4×C11D411yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C2×C11×Q16—24no—
68C2×C11×Q16—24no—
69C2×C11×Q16—42no—
70C2×C11×M16—24no—
71C2×C11×M16—24no—
72C2×C11×M16—42no—
73C22×C8×C11C2312yes—
74C22×C8×C11C2312yes—
75C11×C22⋊Q8—28no—
76C11×C22⋊Q8—28no—
77C11×C22⋊Q8—24no—
78C11×C22⋊Q8—24no—
79C11×C22⋊Q8—24no—
80C11×C22⋊Q8—22no—
81C11×C22⋊Q8—24no—
82C11×C22⋊Q8—22no—
83C11×C22⋊Q8—42no—
84C11×C22⋊Q8D418yes—
85C2×C11×C4⋊C4—28no—
86C2×C11×C4⋊C4—22no—
87C2×C11×C4⋊C4—22no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—24no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C22⋊C4—28no—
98C2×C11×C22⋊C4—22no—
99C2×C11×C22⋊C4—22no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C11×#106—24no—
107C11×#103—24no—
108C11×#103—24no—
109C11×#103—24no—
110C11×#103—42no—
111C11×C22⋊C8—22no—
112C11×C22⋊C8—24no—
113C11×C22⋊C8D414yes—
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117#24386C1111yesmaximal, characteristic, direct product factor, Sylow
118C24×C11—22no—
119C24×C11—22no—
120C24×C11—22no—
121C24×C11—22no—
122C24×C11—22no—
123C24×C11—41no—
124C24×C11—41no—
125C24×C11C2×D411yescharacteristic
126C24×C11C2×D411yescharacteristic
127C24×C11C2×D411yescharacteristic
128C2×Q8×C11—24no—
129C2×Q8×C11—22no—
130C2×Q8×C11—22no—
131C2×Q8×C11—22no—
132C2×Q8×C11—21no—
133C2×Q8×C11—22no—
134C2×Q8×C11—21no—
135C2×Q8×C11—22no—
136C2×Q8×C11—22no—
137C2×Q8×C11—22no—
138C2×Q8×C11—48no—
139C2×Q8×C11—48no—
140C2×Q8×C11—42no—
141C2×Q8×C11—42no—
142C2×Q8×C11C2×D414yes—
143C22×C4×C11—22no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—24no—
149C22×C4×C11—24no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—21no—
159C22×C4×C11—22no—
160C22×C4×C11—21no—
161C22×C4×C11—22no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—41no—
167C22×C4×C11—41no—
168C22×C4×C11—41no—
169C22×C4×C11—48no—
170C22×C4×C11—48no—
171C22×C4×C11—42no—
172C22×C4×C11—42no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D414yes—
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D412yes—
180C22×C4×C11#4112yes—
181C22×C4×C11C2411yescharacteristic
182C11×Q16—48no—
183C11×M16—48no—
184C2×C8×C11—22no—
185C2×C8×C11—22no—
186C2×C8×C11—22no—
187C2×C8×C11—22no—
188C2×C8×C11—22no—
189C2×C8×C11C2×D414yes—
190C11×C4⋊C4—24no—
191C11×C4⋊C4—28no—
192C11×C4⋊C4—28no—
193C11×C4⋊C4—22no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—22no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—22no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4C2×D414yes—
202C11×C22⋊C4—28no—
203C11×C22⋊C4—28no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C22×C22⋊Q8C2×C1111yescharacteristic
211C2×#470C2×C1112yescomplemented
212C2×#451C2×C1111yescharacteristic, complemented
213C2×#407C2×C1111yescharacteristic
214#2848C2×C1111yescharacteristic
215#2035C2×C1112yescomplemented
216#2001C2×C1112yescomplemented
217#1894C2×C1112yescomplemented
218#1872C2×C1111yescharacteristic, complemented
219#1853C2×C1111yescharacteristic, complemented
220#1787C2×C1111yescharacteristic, complemented
221C23×C11—21no—
222C23×C11—21no—
223C23×C11—21no—
224C23×C11—21no—
225C23×C11—28no—
226C23×C11—21no—
227C23×C11—21no—
228C23×C11—21no—
229C23×C11—21no—
230C23×C11—21no—
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—44no—
239C23×C11—44no—
240C23×C11—44no—
241C23×C11—44no—
242C23×C11—44no—
243C23×C11—44no—
244C23×C11#12012yes—
245C23×C11#12112yes—
246C23×C11#13712yes—
247C23×C11#13712yes—
248C23×C11#13712yes—
249C23×C11C22×D411yescharacteristic
250Q8×C11—24no—
251Q8×C11—24no—
252Q8×C11—48no—
253Q8×C11—42no—
254Q8×C11—42no—
255Q8×C11—42no—
256Q8×C11—42no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—24no—
262C2×C4×C11—24no—
263C2×C4×C11—24no—
264C2×C4×C11—24no—
265C2×C4×C11—24no—
266C2×C4×C11—24no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—44no—
271C2×C4×C11—44no—
272C2×C4×C11—44no—
273C2×C4×C11—48no—
274C2×C4×C11—48no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11#12012yes—
294C2×C4×C11#12112yes—
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×D412yes—
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)12yes—
299C8×C11—24no—
300C8×C11—42no—
301C23×Q8C22×C1111yescharacteristic
302C24×C4C22×C1111yescharacteristic
303C22×Q16C22×C1112yescomplemented
304C22×M16C22×C1112yes—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—28no—
308C2×C22⋊Q8C22×C1111yescharacteristic
309C2×C22⋊Q8C22×C1111yescharacteristic
310C2×C22⋊Q8C22×C1112yes—
311C2×C22⋊Q8C22×C1112yes—
312C2×C22⋊Q8C22×C1111yescharacteristic
313C22×C4⋊C4—21no—
314C22×C4⋊C4C22×C1111yescharacteristic
315C22×C22⋊C4—21no—
316#470—28no—
317#451—24no—
318C2×#106C22×C1112yescomplemented
319C2×#103C22×C1112yescomplemented
320C2×#103C22×C1112yescomplemented
321C2×#103C22×C1112yescomplemented
322C2×#103C22×C1112yescomplemented
323#407—24no—
324C2×C22⋊C8C22×C1111yescharacteristic
325C2×C22⋊C8C22×C1112yes—
326C2×C22⋊C8C22×C1111yescharacteristic
327#385—21no—
328#385—21no—
329#385—21no—
330#380C22×C1111yescharacteristic
331#380C22×C1111yescharacteristic
332#380C22×C1111yescharacteristic
333#379—21no—
334#340C22×C1112yescomplemented
335#340C22×C1112yescomplemented
336C22×C11—22no—
337C22×C11—22no—
338C22×C11—22no—
339C22×C11—22no—
340C22×C11—22no—
341C22×C11—22no—
342C22×C11—22no—
343C22×C11—22no—
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—416no—
349C22×C11—41no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11#47014yescomplemented
358C22×C11C2×#12011yescharacteristic
359C22×C11C2×#12111yescharacteristic
360C22×C11#53411yescharacteristic
361C22×C11C2×#13711yescharacteristic
362C22×C11C2×#13711yescharacteristic
363C22×C11C2×#13711yescharacteristic
364C22×C11#57511yescharacteristic
365C4×C11—22no—
366C4×C11—22no—
367C4×C11—41no—
368C4×C11—44no—
369C4×C11—44no—
370C4×C11—81no—
371C4×C11—81no—
372C4×C11—81no—
373C4×C11—81no—
374C4×C11D4212yes—
375C4×C11#54612yes—
376C25D4×C1111yescharacteristic
377C22×Q8—24no—
378C22×Q8—21no—
379C22×Q8—22no—
380C22×Q8—22no—
381C22×Q8—42no—
382C22×Q8C23×C1111yescharacteristic
383C22×Q8C23×C1112yes—
384C23×C4—21no—
385C23×C4—21no—
386C23×C4—24no—
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—42no—
390C23×C4D4×C1111yescharacteristic
391C23×C4D4×C1111yescharacteristic
392C23×C4D4×C1111yescharacteristic
393C23×C4C23×C1111yescharacteristic
394C23×C4C23×C1111yescharacteristic
395C23×C4C23×C1111yescharacteristic
396C2×Q16—24no—
397C2×Q16—24no—
398C2×Q16—42no—
399C2×M16—24no—
400C2×M16—24no—
401C2×M16—42no—
402C22×C8C23×C1112yes—
403C22×C8C23×C1112yes—
404C22⋊Q8—28no—
405C22⋊Q8—28no—
406C22⋊Q8—24no—
407C22⋊Q8—24no—
408C22⋊Q8—24no—
409C22⋊Q8—22no—
410C22⋊Q8—24no—
411C22⋊Q8—22no—
412C22⋊Q8—42no—
413C22⋊Q8D4×C1118yes—
414C2×C4⋊C4—28no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C4⋊C4C23×C1111yescharacteristic
424C2×C4⋊C4C23×C1111yescharacteristic
425C2×C4⋊C4C23×C1112yes—
426C2×C22⋊C4—28no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435#106—24no—
436#103—24no—
437#103—24no—
438#103—24no—
439#103—42no—
440C22⋊C8—22no—
441C22⋊C8—24no—
442C22⋊C8D4×C1114yes—
443#95—21no—
444#95—21no—
445#95—21no—
446C2×C11—24no—
447C2×C11—42no—
448C2×C11—42no—
449C2×C11#241011yescharacteristic
450C2×C11#300411yescharacteristic
451C2×C11#300711yescharacteristic
452C2×C11C2×#47011yescharacteristic
453C2×C11#305611yescharacteristic
454C2×C11#319511yescharacteristic
455C2×C11#319611yescharacteristic
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—41no—
462C24—41no—
463C24C2×D4×C1111yescharacteristic
464C24C2×D4×C1111yescharacteristic
465C24C2×D4×C1111yescharacteristic
466C2×Q8—24no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—21no—
471C2×Q8—22no—
472C2×Q8—21no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—48no—
477C2×Q8—48no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8C2×D4×C1114yes—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4C2×D4×C1111yescharacteristic
514C22×C4C2×D4×C1111yescharacteristic
515C22×C4C2×D4×C1114yes—
516C22×C4C2×D4×C1111yescharacteristic
517C22×C4C2×D4×C1112yes—
518C22×C4C11×#4112yes—
519C22×C4C24×C1111yescharacteristic
520Q16—48no—
521M16—48no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8C2×D4×C1114yes—
528C4⋊C4—24no—
529C4⋊C4—28no—
530C4⋊C4—28no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4C2×D4×C1114yes—
540C22⋊C4—28no—
541C22⋊C4—28no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C11#2438611yescharacteristic, direct product factor, Sylow
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—28no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—44no—
570C23—44no—
571C23—44no—
572C23C11×#12012yes—
573C23C11×#12112yes—
574C23C11×#13712yes—
575C23C11×#13712yes—
576C23C11×#13712yes—
577C23C22×D4×C1111yescharacteristic
578Q8—24no—
579Q8—24no—
580Q8—48no—
581Q8—42no—
582Q8—42no—
583Q8—42no—
584Q8—42no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—48no—
602C2×C4—48no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4C11×#12012yes—
622C2×C4C11×#12112yes—
623C2×C4C22×D4×C1111yescharacteristic
624C2×C4C22×D4×C1112yes—
625C2×C4C2×C11×#4111yescharacteristic
626C2×C4C11×H(5,𝔽2)12yes—
627C8—24no—
628C8—42no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—416no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22C11×#47014yescomplemented
651C22C2×C11×#12011yescharacteristic
652C22C2×C11×#12111yescharacteristic
653C22C11×#53411yescharacteristic
654C22C2×C11×#13711yescharacteristic
655C22C2×C11×#13711yescharacteristic
656C22C2×C11×#13711yescharacteristic
657C22C11×#57511yescharacteristic
658C4—22no—
659C4—22no—
660C4—41no—
661C4—44no—
662C4—44no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4D42×C1112yes—
668C4C11×#54612yes—
669C2—24no—
670C2—42no—
671C2—42no—
672C2C11×#241011yescharacteristic
673C2C11×#300411yescharacteristic
674C2C11×#300711yescharacteristic
675C2C2×C11×#47011yescharacteristic
676C2C11×#305611yescharacteristic
677C2C11×#319511yescharacteristic
678C2C11×#319611yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC25×C11D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C24×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#470C2semidirect
3. C2×C11×#451C2semidirect
6. C11×#2035C2semidirect
7. C11×#2001C2semidirect
8. C11×#1894C2semidirect
9. C11×#1872C2semidirect
10. C11×#1853C2semidirect
11. C11×#1787C2semidirect
14. C22×C11×Q16C22semidirect
29. C2×C11×#106C22semidirect
30. C2×C11×#103C22semidirect
31. C2×C11×#103C22semidirect
32. C2×C11×#103C22semidirect
33. C2×C11×#103C22semidirect
45. C11×#340C22semidirect
46. C11×#340C22semidirect
117. #24386C11direct (N × H)
211. C2×#470C2×C11semidirect
212. C2×#451C2×C11semidirect
215. #2035C2×C11semidirect
216. #2001C2×C11semidirect
217. #1894C2×C11semidirect
218. #1872C2×C11semidirect
219. #1853C2×C11semidirect
220. #1787C2×C11semidirect
303. C22×Q16C22×C11semidirect
318. C2×#106C22×C11semidirect
319. C2×#103C22×C11semidirect
320. C2×#103C22×C11semidirect
321. C2×#103C22×C11semidirect
322. C2×#103C22×C11semidirect
334. #340C22×C11semidirect
335. #340C22×C11semidirect
357. C22×C11#470semidirect
548. C11#24386direct (N × H)
650. C22C11×#470semidirect

Maximal subgroups

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

subgroupindex
C22×C11×C22⋊Q82
C2×C11×#4702
C2×C11×#4512
C2×C11×#4072
C11×#28482
C11×#20352
C11×#20012
C11×#18942
C11×#18722
C11×#18532
C11×#17872
#2438611