Finite Group Databasebeta

← C4×C11×#450 #14598640

Subgroups — C4×C11×#450 #14598640

Order 2816.

1880 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D4×C11C211yesmaximal, characteristic
2C2×C11×#450C211yesmaximal, characteristic
3C2×C4×C11×SD16C212yesmaximal, complemented
4C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
5C11×#1877C212yesmaximal, complemented
6C11×#1872C211yesmaximal, characteristic, complemented
7C11×#1864C212yesmaximal, complemented
8C11×#1853C211yesmaximal, characteristic, complemented
9C11×#1786C211yesmaximal, characteristic
10C4×C11×#102C212yesmaximal, complemented
11C4×C11×C22⋊C8C211yesmaximal, characteristic, complemented
12C23×D4×C11C2211yescharacteristic
13C24×C4×C11—21no—
14C22×C11×SD16C2212yes—
15C2×C11×C22⋊Q8C2211yescharacteristic
16C2×C4×Q8×C11C2211yescharacteristic, complemented
17C2×C4×D4×C11—28no—
18C2×C4×D4×C11—21no—
19C2×C4×D4×C11—21no—
20C2×C4×D4×C11C2212yes—
21C2×C4×D4×C11C2212yes—
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4—21no—
24C22×C42×C11C2211yescharacteristic
25C11×#450C418yesdirect product factor
26C4×C11×SD16—28no—
27C2×C11×#106C2212yescomplemented
28C2×C11×#103C2212yescomplemented
29C2×C11×#102C2212yes—
30C2×C11×#102C2212yes—
31C2×C11×#102C2212yes—
32C2×C11×C22⋊C8C2211yescharacteristic
33C2×C11×C22⋊C8C2211yescharacteristic
34C2×C4×C8×C11C2212yescomplemented
35C11×#391C2211yescharacteristic, complemented
36C11×#389C2211yescharacteristic, complemented
37C11×#387—21no—
38C11×#385—21no—
39C11×#380C2211yescharacteristic
40C4×C11×C4⋊C4—21no—
41C4×C11×C4⋊C4C2211yescharacteristic, complemented
42C4×C11×C22⋊C4—21no—
43C11×#340C2212yescomplemented
44C11×#340C2212yescomplemented
45C11×#336C2212yescomplemented
46C25×C11—21no—
47C22×Q8×C11C2311yescharacteristic
48C22×D4×C11—24no—
49C22×D4×C11—24no—
50C22×D4×C11—21no—
51C22×D4×C11—22no—
52C22×D4×C11C2×C414yes—
53C22×D4×C11C2312yes—
54C23×C4×C11—28no—
55C23×C4×C11—21no—
56C23×C4×C11—22no—
57C23×C4×C11—22no—
58C23×C4×C11—44no—
59C23×C4×C11—44no—
60C23×C4×C11D411yescharacteristic
61C23×C4×C11D411yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C2×C11×SD16—24no—
64C2×C11×SD16—24no—
65C2×C11×SD16C2×C418yescomplemented
66C22×C8×C11C2312yes—
67C22×C8×C11C2312yes—
68C11×C22⋊Q8—22no—
69C11×C22⋊Q8C2×C414yescomplemented
70C4×Q8×C11—24no—
71C4×D4×C11—28no—
72C4×D4×C11—28no—
73C4×D4×C11—24no—
74C4×D4×C11—24no—
75C4×D4×C11—24no—
76C4×D4×C11D418yes—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—24no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2312yes—
86C2×C11×C22⋊C4—28no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4—22no—
89C2×C11×C22⋊C4—22no—
90C2×C11×C22⋊C4—21no—
91C2×C42×C11—24no—
92C2×C42×C11—21no—
93C2×C42×C11—21no—
94C2×C42×C11D411yescharacteristic
95C2×C42×C11D411yescharacteristic
96C2×C42×C11C2311yescharacteristic
97C2×C42×C11C2311yescharacteristic
98C11×#106—24no—
99C11×#103—24no—
100C11×#102—24no—
101C11×#102—24no—
102C11×#102C2×C418yescomplemented
103C11×C22⋊C8—22no—
104C11×C22⋊C8C2×C414yescomplemented
105C4×C8×C11—24no—
106C11×#95—21no—
107C11×#95—21no—
108C11×#95—21no—
109C11×#95—21no—
110C11×#95—21no—
111C4×#450C1111yesmaximal, characteristic, direct product factor, Sylow
112C24×C11—24no—
113C24×C11—24no—
114C24×C11—24no—
115C24×C11—22no—
116C24×C11—42no—
117C24×C11—42no—
118C24×C11—42no—
119C24×C11—42no—
120C24×C11C2×D411yescharacteristic
121C2×Q8×C11—21no—
122C2×Q8×C11—22no—
123C2×Q8×C11—22no—
124C2×Q8×C11C22×C412yescomplemented
125C2×D4×C11—24no—
126C2×D4×C11—24no—
127C2×D4×C11—216no—
128C2×D4×C11—216no—
129C2×D4×C11—24no—
130C2×D4×C11—22no—
131C2×D4×C11—22no—
132C2×D4×C11—22no—
133C2×D4×C11C22×C414yes—
134C2×D4×C11C2×D414yes—
135C2×D4×C11#4114yes—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—24no—
141C22×C4×C11—28no—
142C22×C4×C11—22no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—28no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—41no—
151C22×C4×C11—44no—
152C22×C4×C11—432no—
153C22×C4×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11—44no—
156C22×C4×C11—44no—
157C22×C4×C11—44no—
158C22×C4×C11SD1614yescomplemented
159C22×C4×C11C22×C412yes—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11#4112yes—
166C22×C4×C11C2411yescharacteristic
167C11×SD16—216no—
168C2×C8×C11—22no—
169C2×C8×C11—22no—
170C2×C8×C11—22no—
171C2×C8×C11—22no—
172C2×C8×C11—22no—
173C2×C8×C11C22×C414yescomplemented
174C11×C4⋊C4—24no—
175C11×C4⋊C4—24no—
176C11×C4⋊C4—22no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—22no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—42no—
181C11×C4⋊C4—42no—
182C11×C4⋊C4C22×C412yescomplemented
183C11×C4⋊C4C2×D414yes—
184C11×C22⋊C4—28no—
185C11×C22⋊C4—24no—
186C11×C22⋊C4—28no—
187C11×C22⋊C4—42no—
188C42×C11—22no—
189C42×C11—22no—
190C42×C11—22no—
191C42×C11—42no—
192C42×C11—42no—
193C42×C11C2×D414yes—
194C22×C4×D4C2×C1111yescharacteristic
195C2×#450C2×C1111yescharacteristic
196C2×C4×SD16C2×C1112yescomplemented
197C4×C22⋊Q8C2×C1111yescharacteristic, complemented
198#1877C2×C1112yescomplemented
199#1872C2×C1111yescharacteristic, complemented
200#1864C2×C1112yescomplemented
201#1853C2×C1111yescharacteristic, complemented
202#1786C2×C1111yescharacteristic
203C4×#102C2×C1112yescomplemented
204C4×C22⋊C8C2×C1111yescharacteristic, complemented
205C23×C11—21no—
206C23×C11—21no—
207C23×C11—21no—
208C23×C11—21no—
209C23×C11—216no—
210C23×C11—24no—
211C23×C11—24no—
212C23×C11—24no—
213C23×C11—48no—
214C23×C11—48no—
215C23×C11—48no—
216C23×C11—48no—
217C23×C11—48no—
218C23×C11—42no—
219C23×C11—42no—
220C23×C11—42no—
221C23×C11—42no—
222C23×C11—48no—
223C23×C11C4×D412yes—
224C23×C11C2×SD1612yes—
225C23×C11#13512yes—
226C23×C11C22×D411yescharacteristic
227Q8×C11—24no—
228Q8×C11—42no—
229D4×C11—216no—
230D4×C11—24no—
231D4×C11—24no—
232D4×C11—24no—
233D4×C11C4×D418yes—
234C2×C4×C11—21no—
235C2×C4×C11—21no—
236C2×C4×C11—21no—
237C2×C4×C11—21no—
238C2×C4×C11—21no—
239C2×C4×C11—21no—
240C2×C4×C11—24no—
241C2×C4×C11—24no—
242C2×C4×C11—28no—
243C2×C4×C11—22no—
244C2×C4×C11—22no—
245C2×C4×C11—21no—
246C2×C4×C11—24no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—44no—
250C2×C4×C11—416no—
251C2×C4×C11—48no—
252C2×C4×C11—41no—
253C2×C4×C11—41no—
254C2×C4×C11—42no—
255C2×C4×C11—41no—
256C2×C4×C11—42no—
257C2×C4×C11—41no—
258C2×C4×C11—416no—
259C2×C4×C11—41no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11C4×D412yes—
266C2×C4×C11#12012yes—
267C2×C4×C11#12012yes—
268C2×C4×C11C2×SD1612yes—
269C2×C4×C11C2×SD1612yes—
270C2×C4×C11AGL(1,ℤ/8)12yes—
271C2×C4×C11C23×C411yescharacteristic
272C2×C4×C11C22×D412yes—
273C2×C4×C11C2×#4112yes—
274C2×C4×C11C2×#4111yescharacteristic
275C8×C11—24no—
276C8×C11—42no—
277C23×D4C22×C1111yescharacteristic
278C24×C4—21no—
279C22×SD16C22×C1112yes—
280C2×C22⋊Q8C22×C1111yescharacteristic
281C2×C4×Q8C22×C1111yescharacteristic, complemented
282C2×C4×D4—28no—
283C2×C4×D4—21no—
284C2×C4×D4—21no—
285C2×C4×D4C22×C1112yes—
286C2×C4×D4C22×C1112yes—
287C22×C4⋊C4C22×C1111yescharacteristic
288C22×C22⋊C4—21no—
289C22×C42C22×C1111yescharacteristic
290#450C4×C1118yesdirect product factor
291C4×SD16—28no—
292C2×#106C22×C1112yescomplemented
293C2×#103C22×C1112yescomplemented
294C2×#102C22×C1112yes—
295C2×#102C22×C1112yes—
296C2×#102C22×C1112yes—
297C2×C22⋊C8C22×C1111yescharacteristic
298C2×C22⋊C8C22×C1111yescharacteristic
299C2×C4×C8C22×C1112yescomplemented
300#391C22×C1111yescharacteristic, complemented
301#389C22×C1111yescharacteristic, complemented
302#387—21no—
303#385—21no—
304#380C22×C1111yescharacteristic
305C4×C4⋊C4—21no—
306C4×C4⋊C4C22×C1111yescharacteristic, complemented
307C4×C22⋊C4—21no—
308#340C22×C1112yescomplemented
309#340C22×C1112yescomplemented
310#336C22×C1112yescomplemented
311C22×C11—22no—
312C22×C11—22no—
313C22×C11—22no—
314C22×C11—22no—
315C22×C11—22no—
316C22×C11—22no—
317C22×C11—28no—
318C22×C11—432no—
319C22×C11—44no—
320C22×C11—44no—
321C22×C11—44no—
322C22×C11—44no—
323C22×C11—44no—
324C22×C11—44no—
325C22×C11C4×SD1614yescomplemented
326C22×C11C2×C4×D411yescharacteristic
327C22×C11C2×#12011yescharacteristic
328C22×C11#52511yescharacteristic
329C22×C11C22×SD1611yescharacteristic
330C22×C11C2×#13511yescharacteristic
331C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
332C22×C11#57511yescharacteristic
333C4×C11—22no—
334C4×C11—22no—
335C4×C11—22no—
336C4×C11—42no—
337C4×C11—44no—
338C4×C11—41no—
339C4×C11—42no—
340C4×C11—81no—
341C4×C11—81no—
342C4×C11#45014yesdirect product factor
343C4×C11C2×C4×D412yes—
344C4×C11#52512yes—
345C25—21no—
346C22×Q8C23×C1111yescharacteristic
347C22×D4—24no—
348C22×D4—24no—
349C22×D4—21no—
350C22×D4—22no—
351C22×D4C2×C4×C1114yes—
352C22×D4C23×C1112yes—
353C23×C4—28no—
354C23×C4—21no—
355C23×C4—22no—
356C23×C4—22no—
357C23×C4—44no—
358C23×C4—44no—
359C23×C4D4×C1111yescharacteristic
360C23×C4D4×C1111yescharacteristic
361C23×C4C23×C1111yescharacteristic
362C2×SD16—24no—
363C2×SD16—24no—
364C2×SD16C2×C4×C1118yescomplemented
365C22×C8C23×C1112yes—
366C22×C8C23×C1112yes—
367C22⋊Q8—22no—
368C22⋊Q8C2×C4×C1114yescomplemented
369C4×Q8—24no—
370C4×D4—28no—
371C4×D4—28no—
372C4×D4—24no—
373C4×D4—24no—
374C4×D4—24no—
375C4×D4D4×C1118yes—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—24no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4C23×C1111yescharacteristic
382C2×C4⋊C4C23×C1111yescharacteristic
383C2×C4⋊C4C23×C1111yescharacteristic
384C2×C4⋊C4C23×C1112yes—
385C2×C22⋊C4—28no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—21no—
390C2×C42—24no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42D4×C1111yescharacteristic
394C2×C42D4×C1111yescharacteristic
395C2×C42C23×C1111yescharacteristic
396C2×C42C23×C1111yescharacteristic
397#106—24no—
398#103—24no—
399#102—24no—
400#102—24no—
401#102C2×C4×C1118yescomplemented
402C22⋊C8—22no—
403C22⋊C8C2×C4×C1114yescomplemented
404C4×C8—24no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—21no—
410C2×C11—24no—
411C2×C11—48no—
412C2×C11C4×#12011yescharacteristic
413C2×C11C2×C4×SD1611yescharacteristic
414C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
415C2×C11C2×#45011yescharacteristic
416C2×C11#300211yescharacteristic
417C2×C11#310111yescharacteristic
418C2×C11#310511yescharacteristic
419C24—24no—
420C24—24no—
421C24—24no—
422C24—22no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24C2×D4×C1111yescharacteristic
428C2×Q8—21no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8C22×C4×C1112yescomplemented
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—216no—
435C2×D4—216no—
436C2×D4—24no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4C22×C4×C1114yes—
441C2×D4C2×D4×C1114yes—
442C2×D4C11×#4114yes—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—28no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—28no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—41no—
458C22×C4—44no—
459C22×C4—432no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—44no—
463C22×C4—44no—
464C22×C4—44no—
465C22×C4C11×SD1614yescomplemented
466C22×C4C22×C4×C1112yes—
467C22×C4C2×D4×C1111yescharacteristic
468C22×C4C2×D4×C1111yescharacteristic
469C22×C4C2×D4×C1111yescharacteristic
470C22×C4C2×D4×C1111yescharacteristic
471C22×C4C2×D4×C1111yescharacteristic
472C22×C4C11×#4112yes—
473C22×C4C24×C1111yescharacteristic
474SD16—216no—
475C2×C8—22no—
476C2×C8—22no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8C22×C4×C1114yescomplemented
481C4⋊C4—24no—
482C4⋊C4—24no—
483C4⋊C4—22no—
484C4⋊C4—21no—
485C4⋊C4—22no—
486C4⋊C4—22no—
487C4⋊C4—42no—
488C4⋊C4—42no—
489C4⋊C4C22×C4×C1112yescomplemented
490C4⋊C4C2×D4×C1114yes—
491C22⋊C4—28no—
492C22⋊C4—24no—
493C22⋊C4—28no—
494C22⋊C4—42no—
495C42—22no—
496C42—22no—
497C42—22no—
498C42—42no—
499C42—42no—
500C42C2×D4×C1114yes—
501C11C4×#45011yescharacteristic, direct product factor, Sylow
502C23—21no—
503C23—21no—
504C23—21no—
505C23—21no—
506C23—216no—
507C23—24no—
508C23—24no—
509C23—24no—
510C23—48no—
511C23—48no—
512C23—48no—
513C23—48no—
514C23—48no—
515C23—42no—
516C23—42no—
517C23—42no—
518C23—42no—
519C23—48no—
520C23C4×D4×C1112yes—
521C23C2×C11×SD1612yes—
522C23C11×#13512yes—
523C23C22×D4×C1111yescharacteristic
524Q8—24no—
525Q8—42no—
526D4—216no—
527D4—24no—
528D4—24no—
529D4—24no—
530D4C4×D4×C1118yes—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—24no—
538C2×C4—24no—
539C2×C4—28no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—21no—
543C2×C4—24no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—44no—
547C2×C4—416no—
548C2×C4—48no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—42no—
552C2×C4—41no—
553C2×C4—42no—
554C2×C4—41no—
555C2×C4—416no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4C4×D4×C1112yes—
563C2×C4C11×#12012yes—
564C2×C4C11×#12012yes—
565C2×C4C2×C11×SD1612yes—
566C2×C4C2×C11×SD1612yes—
567C2×C4C11×AGL(1,ℤ/8)12yes—
568C2×C4C23×C4×C1111yescharacteristic
569C2×C4C22×D4×C1112yes—
570C2×C4C2×C11×#4112yes—
571C2×C4C2×C11×#4111yescharacteristic
572C8—24no—
573C8—42no—
574C22—22no—
575C22—22no—
576C22—22no—
577C22—22no—
578C22—22no—
579C22—22no—
580C22—28no—
581C22—432no—
582C22—44no—
583C22—44no—
584C22—44no—
585C22—44no—
586C22—44no—
587C22—44no—
588C22C4×C11×SD1614yescomplemented
589C22C2×C4×D4×C1111yescharacteristic
590C22C2×C11×#12011yescharacteristic
591C22C11×#52511yescharacteristic
592C22C22×C11×SD1611yescharacteristic
593C22C2×C11×#13511yescharacteristic
594C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
595C22C11×#57511yescharacteristic
596C4—22no—
597C4—22no—
598C4—22no—
599C4—42no—
600C4—44no—
601C4—41no—
602C4—42no—
603C4—81no—
604C4—81no—
605C4C11×#45014yesdirect product factor
606C4C2×C4×D4×C1112yes—
607C4C11×#52512yes—
608C2—24no—
609C2—48no—
610C2C4×C11×#12011yescharacteristic
611C2C2×C4×C11×SD1611yescharacteristic
612C2C4×C11×AGL(1,ℤ/8)11yescharacteristic
613C2C2×C11×#45011yescharacteristic
614C2C11×#300211yescharacteristic
615C2C11×#310111yescharacteristic
616C2C11×#310511yescharacteristic
subgroupG/H
centerC22×C4×C11C2×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
socleC23×C11C22×D4
prime radicalC23×D4×C11C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C4×C11×SD16C2semidirect
4. C4×C11×C22⋊Q8C2semidirect
5. C11×#1877C2semidirect
6. C11×#1872C2semidirect
7. C11×#1864C2semidirect
8. C11×#1853C2semidirect
10. C4×C11×#102C2semidirect
11. C4×C11×C22⋊C8C2semidirect
16. C2×C4×Q8×C11C22semidirect
25. C11×#450C4direct (N × H)
27. C2×C11×#106C22semidirect
28. C2×C11×#103C22semidirect
34. C2×C4×C8×C11C22semidirect
35. C11×#391C22semidirect
36. C11×#389C22semidirect
41. C4×C11×C4⋊C4C22semidirect
43. C11×#340C22semidirect
44. C11×#340C22semidirect
45. C11×#336C22semidirect
65. C2×C11×SD16C2×C4semidirect
69. C11×C22⋊Q8C2×C4semidirect
102. C11×#102C2×C4semidirect
104. C11×C22⋊C8C2×C4semidirect
111. C4×#450C11direct (N × H)
124. C2×Q8×C11C22×C4semidirect
158. C22×C4×C11SD16semidirect
173. C2×C8×C11C22×C4semidirect
182. C11×C4⋊C4C22×C4semidirect
196. C2×C4×SD16C2×C11semidirect
197. C4×C22⋊Q8C2×C11semidirect
198. #1877C2×C11semidirect
199. #1872C2×C11semidirect
200. #1864C2×C11semidirect
201. #1853C2×C11semidirect
203. C4×#102C2×C11semidirect
204. C4×C22⋊C8C2×C11semidirect
281. C2×C4×Q8C22×C11semidirect
290. #450C4×C11direct (N × H)
292. C2×#106C22×C11semidirect
293. C2×#103C22×C11semidirect
299. C2×C4×C8C22×C11semidirect
300. #391C22×C11semidirect
301. #389C22×C11semidirect
306. C4×C4⋊C4C22×C11semidirect
308. #340C22×C11semidirect
309. #340C22×C11semidirect
310. #336C22×C11semidirect
325. C22×C11C4×SD16semidirect
342. C4×C11#450direct (N × H)
364. C2×SD16C2×C4×C11semidirect
368. C22⋊Q8C2×C4×C11semidirect
401. #102C2×C4×C11semidirect
403. C22⋊C8C2×C4×C11semidirect
431. C2×Q8C22×C4×C11semidirect
465. C22×C4C11×SD16semidirect
480. C2×C8C22×C4×C11semidirect
489. C4⋊C4C22×C4×C11semidirect
501. C11C4×#450direct (N × H)
588. C22C4×C11×SD16semidirect
605. C4C11×#450direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D4×C112
C2×C11×#4502
C2×C4×C11×SD162
C4×C11×C22⋊Q82
C11×#18772
C11×#18722
C11×#18642
C11×#18532
C11×#17862
C4×C11×#1022
C4×C11×C22⋊C82
C4×#45011