Finite Group Databasebeta

← C2×C11×#2440 #14611867

Subgroups — C2×C11×#2440 #14611867

Order 2816.

3550 conjugacy classes of subgroups.

The subgroup lattice has 588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×C4⋊Q8C211yesmaximal, characteristic, complemented
2C22×C11×C22⋊Q8C212yesmaximal
3C23×C11×C4⋊C4C211yesmaximal, characteristic
4C11×#2440C2116yesmaximal, direct product factor
5C2×C11×#398C212yesmaximal, complemented
6C2×C11×#395C212yesmaximal, complemented
7C2×C11×#389C211yesmaximal, characteristic, complemented
8C2×C11×#389C211yesmaximal, characteristic, complemented
9C2×C11×#385C212yesmaximal
10C2×C11×#384C211yesmaximal, characteristic, complemented
11C2×C11×#380C211yesmaximal, characteristic
12C2×C4×C11×C22⋊C4C211yesmaximal, characteristic
13C23×Q8×C11C2212yes—
14C24×C4×C11C2212yes—
15C24×C4×C11C2211yescharacteristic
16C2×C11×C4⋊Q8—28no—
17C2×C11×C4⋊Q8C2218yescomplemented
18C2×C11×C22⋊Q8—216no—
19C2×C11×C22⋊Q8C22116yes—
20C22×C11×C4⋊C4—28no—
21C22×C11×C4⋊C4C2212yes—
22C22×C11×C4⋊C4C2212yes—
23C22×C11×C4⋊C4C2212yes—
24C22×C11×C4⋊C4C2212yes—
25C22×C11×C4⋊C4C2212yes—
26C22×C11×C4⋊C4C2218yes—
27C22×C11×C4⋊C4C2211yescharacteristic
28C22×C11×C4⋊C4C2211yescharacteristic
29C22×C11×C4⋊C4C2211yescharacteristic
30C22×C11×C4⋊C4C2212yes—
31C22×C11×C4⋊C4C2211yescharacteristic
32C22×C11×C22⋊C4C2212yes—
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C11×#398C22116yescomplemented
38C11×#395C22116yescomplemented
39C11×#389C2218yescomplemented
40C11×#389C2218yescomplemented
41C11×#385C22116yes—
42C11×#384C2218yescomplemented
43C11×#380C2218yes—
44C4×C11×C22⋊C4C2218yes—
45C2×C11×#95C2211yescharacteristic
46C2×C11×#95C2212yes—
47C2×C11×#95C2212yes—
48C2×C11×#95C2211yescharacteristic
49C2×C11×#95C2212yes—
50C25×C11C2311yescharacteristic
51C22×Q8×C11—28no—
52C22×Q8×C11—28no—
53C22×Q8×C11—44no—
54C22×Q8×C11C2318yes—
55C23×C4×C11—24no—
56C23×C4×C11—24no—
57C23×C4×C11—28no—
58C23×C4×C11—28no—
59C23×C4×C11—44no—
60C23×C4×C11Q818yescomplemented
61C23×C4×C11C2312yes—
62C23×C4×C11C2312yes—
63C23×C4×C11C2312yes—
64C23×C4×C11C2318yes—
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2312yes—
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2314yes—
72C23×C4×C11C2311yescharacteristic
73C11×C4⋊Q8—232no—
74C11×C22⋊Q8—264no—
75C2×C11×C4⋊C4—28no—
76C2×C11×C4⋊C4—24no—
77C2×C11×C4⋊C4—28no—
78C2×C11×C4⋊C4—28no—
79C2×C11×C4⋊C4—28no—
80C2×C11×C4⋊C4—28no—
81C2×C11×C4⋊C4—24no—
82C2×C11×C4⋊C4—24no—
83C2×C11×C4⋊C4—232no—
84C2×C11×C4⋊C4—44no—
85C2×C11×C4⋊C4D418yes—
86C2×C11×C4⋊C4C2314yes—
87C2×C11×C4⋊C4C2318yes—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C4⋊C4C2314yes—
90C2×C11×C4⋊C4C2318yes—
91C2×C11×C4⋊C4C2318yes—
92C2×C11×C4⋊C4C2318yes—
93C2×C11×C4⋊C4C2318yes—
94C2×C11×C4⋊C4C2318yes—
95C2×C11×C4⋊C4C2314yes—
96C2×C11×C22⋊C4—28no—
97C2×C11×C22⋊C4D418yes—
98C2×C11×C22⋊C4Q818yescomplemented
99C2×C11×C22⋊C4C2318yes—
100C2×C11×C22⋊C4C2314yes—
101C2×C11×C22⋊C4C2314yes—
102C2×C42×C11—24no—
103C2×C42×C11—24no—
104C2×C42×C11C2314yes—
105C2×C42×C11C2314yes—
106C11×#95C2314yes—
107C11×#95C2314yes—
108C11×#95C2318yes—
109C11×#95C2318yes—
110C11×#95C2318yes—
111C2×#2440C1111yesmaximal, characteristic, direct product factor, Sylow
112C24×C11—22no—
113C24×C11—22no—
114C24×C11—22no—
115C24×C11—22no—
116C24×C11C2×D414yes—
117C24×C11C2×Q814yes—
118C24×C11C2×Q814yes—
119C24×C11C2412yes—
120C24×C11C2411yescharacteristic
121C2×Q8×C11—216no—
122C2×Q8×C11—216no—
123C2×Q8×C11—48no—
124C2×Q8×C11—432no—
125C22×C4×C11—22no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—24no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—24no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—232no—
138C22×C4×C11—28no—
139C22×C4×C11—28no—
140C22×C4×C11—24no—
141C22×C4×C11—24no—
142C22×C4×C11—24no—
143C22×C4×C11—24no—
144C22×C4×C11—24no—
145C22×C4×C11—216no—
146C22×C4×C11—24no—
147C22×C4×C11—24no—
148C22×C4×C11—24no—
149C22×C4×C11—24no—
150C22×C4×C11—216no—
151C22×C4×C11—48no—
152C22×C4×C11—432no—
153C22×C4×C11C2×D414yes—
154C22×C4×C11C2×D414yes—
155C22×C4×C11C2×D418yes—
156C22×C4×C11C2×D414yes—
157C22×C4×C11C2×Q814yes—
158C22×C4×C11C2×Q814yes—
159C22×C4×C11C2×Q814yes—
160C22×C4×C11C2×Q814yes—
161C22×C4×C11C2×Q8116yescomplemented
162C22×C4×C11#4114yes—
163C22×C4×C11C2414yes—
164C22×C4×C11C2414yes—
165C22×C4×C11C2414yes—
166C22×C4×C11C2412yes—
167C22×C4×C11C2412yes—
168C22×C4×C11C2414yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C11×C4⋊C4—216no—
174C11×C4⋊C4—28no—
175C11×C4⋊C4—216no—
176C11×C4⋊C4—216no—
177C11×C4⋊C4—216no—
178C11×C4⋊C4—216no—
179C11×C4⋊C4—28no—
180C11×C4⋊C4—28no—
181C11×C4⋊C4—48no—
182C11×C4⋊C4C2×D4116yes—
183C11×C22⋊C4—216no—
184C11×C22⋊C4C2×D4116yes—
185C11×C22⋊C4C2×Q8116yescomplemented
186C42×C11—28no—
187C42×C11—28no—
188C22×C4⋊Q8C2×C1111yescharacteristic, complemented
189C22×C22⋊Q8C2×C1112yes—
190C23×C4⋊C4C2×C1111yescharacteristic
191#2440C2×C11116yesdirect product factor
192C2×#398C2×C1112yescomplemented
193C2×#395C2×C1112yescomplemented
194C2×#389C2×C1111yescharacteristic, complemented
195C2×#389C2×C1111yescharacteristic, complemented
196C2×#385C2×C1112yes—
197C2×#384C2×C1111yescharacteristic, complemented
198C2×#380C2×C1111yescharacteristic
199C2×C4×C22⋊C4C2×C1111yescharacteristic
200C23×C11—28no—
201C23×C11—28no—
202C23×C11—28no—
203C23×C11—28no—
204C23×C11—28no—
205C23×C11—28no—
206C23×C11—22no—
207C23×C11—22no—
208C23×C11—22no—
209C23×C11—22no—
210C23×C11C4⋊Q8116yescomplemented
211C23×C11C22×D414yes—
212C23×C11C22×D412yes—
213C23×C11C22×D412yes—
214C23×C11C22×Q814yes—
215C23×C11C22×Q814yes—
216C23×C11C22×Q812yes—
217C23×C11C22×Q812yes—
218C23×C11C2×#4112yes—
219C23×C11H(5,𝔽2)12yes—
220C23×C112−1+412yes—
221C23×C11C2511yescharacteristic
222Q8×C11—432no—
223C2×C4×C11—28no—
224C2×C4×C11—216no—
225C2×C4×C11—28no—
226C2×C4×C11—28no—
227C2×C4×C11—28no—
228C2×C4×C11—28no—
229C2×C4×C11—22no—
230C2×C4×C11—22no—
231C2×C4×C11—22no—
232C2×C4×C11—24no—
233C2×C4×C11—22no—
234C2×C4×C11—22no—
235C2×C4×C11—22no—
236C2×C4×C11—22no—
237C2×C4×C11—24no—
238C2×C4×C11—22no—
239C2×C4×C11—22no—
240C2×C4×C11—22no—
241C2×C4×C11—232no—
242C2×C4×C11—24no—
243C2×C4×C11—24no—
244C2×C4×C11—24no—
245C2×C4×C11—24no—
246C2×C4×C11—24no—
247C2×C4×C11—24no—
248C2×C4×C11—24no—
249C2×C4×C11—24no—
250C2×C4×C11—24no—
251C2×C4×C11—432no—
252C2×C4×C11—48no—
253C2×C4×C11—48no—
254C2×C4×C11—48no—
255C2×C4×C11C22⋊Q8116yescomplemented
256C2×C4×C11C22×D414yes—
257C2×C4×C11C22×D414yes—
258C2×C4×C11C22×D418yes—
259C2×C4×C11C22×D414yes—
260C2×C4×C11C22×Q814yes—
261C2×C4×C11C22×Q814yes—
262C2×C4×C11C22×Q814yes—
263C2×C4×C11C22×Q814yes—
264C2×C4×C11C2×#4114yes—
265C23×Q8C22×C1112yes—
266C24×C4C22×C1112yes—
267C24×C4C22×C1111yescharacteristic
268C2×C4⋊Q8—28no—
269C2×C4⋊Q8C22×C1118yescomplemented
270C2×C22⋊Q8—216no—
271C2×C22⋊Q8C22×C11116yes—
272C22×C4⋊C4—28no—
273C22×C4⋊C4C22×C1112yes—
274C22×C4⋊C4C22×C1112yes—
275C22×C4⋊C4C22×C1112yes—
276C22×C4⋊C4C22×C1112yes—
277C22×C4⋊C4C22×C1112yes—
278C22×C4⋊C4C22×C1118yes—
279C22×C4⋊C4C22×C1111yescharacteristic
280C22×C4⋊C4C22×C1111yescharacteristic
281C22×C4⋊C4C22×C1111yescharacteristic
282C22×C4⋊C4C22×C1112yes—
283C22×C4⋊C4C22×C1111yescharacteristic
284C22×C22⋊C4C22×C1112yes—
285C22×C22⋊C4C22×C1111yescharacteristic
286C22×C22⋊C4C22×C1111yescharacteristic
287C22×C42C22×C1111yescharacteristic
288C22×C42C22×C1111yescharacteristic
289#398C22×C11116yescomplemented
290#395C22×C11116yescomplemented
291#389C22×C1118yescomplemented
292#389C22×C1118yescomplemented
293#385C22×C11116yes—
294#384C22×C1118yescomplemented
295#380C22×C1118yes—
296C4×C22⋊C4C22×C1118yes—
297C2×#95C22×C1111yescharacteristic
298C2×#95C22×C1112yes—
299C2×#95C22×C1112yes—
300C2×#95C22×C1111yescharacteristic
301C2×#95C22×C1112yes—
302C22×C11—24no—
303C22×C11—24no—
304C22×C11—24no—
305C22×C11—232no—
306C22×C11—24no—
307C22×C11—24no—
308C22×C11—24no—
309C22×C11C2×C22⋊Q814yes—
310C22×C11C2×C4⋊Q814yes—
311C22×C11C2×C4⋊Q818yescomplemented
312C22×C11#54414yes—
313C22×C11D4214yes—
314C22×C11#54714yes—
315C22×C11D4×Q814yes—
316C22×C11#55414yes—
317C22×C11C23×D411yescharacteristic
318C22×C11C23×D411yescharacteristic
319C22×C11C23×Q811yescharacteristic
320C22×C11C23×Q811yescharacteristic
321C22×C11C22×#4111yescharacteristic
322C22×C11C2×H(5,𝔽2)11yescharacteristic
323C22×C11C2×2−1+411yescharacteristic
324C4×C11—24no—
325C4×C11—28no—
326C4×C11—24no—
327C4×C11—24no—
328C4×C11—24no—
329C4×C11—24no—
330C4×C11—44no—
331C4×C11—44no—
332C4×C11—44no—
333C4×C11C2×C22⋊Q818yescomplemented
334C25C23×C1111yescharacteristic
335C22×Q8—28no—
336C22×Q8—28no—
337C22×Q8—44no—
338C22×Q8C23×C1118yes—
339C23×C4—24no—
340C23×C4—24no—
341C23×C4—28no—
342C23×C4—28no—
343C23×C4—44no—
344C23×C4Q8×C1118yescomplemented
345C23×C4C23×C1112yes—
346C23×C4C23×C1112yes—
347C23×C4C23×C1112yes—
348C23×C4C23×C1118yes—
349C23×C4C23×C1111yescharacteristic
350C23×C4C23×C1111yescharacteristic
351C23×C4C23×C1112yes—
352C23×C4C23×C1111yescharacteristic
353C23×C4C23×C1111yescharacteristic
354C23×C4C23×C1111yescharacteristic
355C23×C4C23×C1114yes—
356C23×C4C23×C1111yescharacteristic
357C4⋊Q8—232no—
358C22⋊Q8—264no—
359C2×C4⋊C4—28no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—28no—
362C2×C4⋊C4—28no—
363C2×C4⋊C4—28no—
364C2×C4⋊C4—28no—
365C2×C4⋊C4—24no—
366C2×C4⋊C4—24no—
367C2×C4⋊C4—232no—
368C2×C4⋊C4—44no—
369C2×C4⋊C4D4×C1118yes—
370C2×C4⋊C4C23×C1114yes—
371C2×C4⋊C4C23×C1118yes—
372C2×C4⋊C4C23×C1118yes—
373C2×C4⋊C4C23×C1118yes—
374C2×C4⋊C4C23×C1118yes—
375C2×C4⋊C4C23×C1114yes—
376C2×C4⋊C4C23×C1118yes—
377C2×C4⋊C4C23×C1114yes—
378C2×C4⋊C4C23×C1118yes—
379C2×C4⋊C4C23×C1114yes—
380C2×C22⋊C4—28no—
381C2×C22⋊C4D4×C1118yes—
382C2×C22⋊C4Q8×C1118yescomplemented
383C2×C22⋊C4C23×C1118yes—
384C2×C22⋊C4C23×C1114yes—
385C2×C22⋊C4C23×C1114yes—
386C2×C42—24no—
387C2×C42—24no—
388C2×C42C23×C1114yes—
389C2×C42C23×C1114yes—
390#95C23×C1114yes—
391#95C23×C1114yes—
392#95C23×C1118yes—
393#95C23×C1118yes—
394#95C23×C1118yes—
395C2×C11—28no—
396C2×C11#244018yesdirect product factor
397C2×C11C22×C22⋊Q811yescharacteristic
398C2×C11C22×C4⋊Q811yescharacteristic
399C2×C11C2×#54411yescharacteristic
400C2×C11C2×D4211yescharacteristic
401C2×C11C2×#54711yescharacteristic
402C2×C11C2×D4×Q811yescharacteristic
403C2×C11C2×#55411yescharacteristic
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24C2×D4×C1114yes—
409C24C2×Q8×C1114yes—
410C24C2×Q8×C1114yes—
411C24C24×C1112yes—
412C24C24×C1111yescharacteristic
413C2×Q8—216no—
414C2×Q8—216no—
415C2×Q8—48no—
416C2×Q8—432no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—24no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—24no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—232no—
430C22×C4—28no—
431C22×C4—28no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—216no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—216no—
443C22×C4—48no—
444C22×C4—432no—
445C22×C4C2×D4×C1114yes—
446C22×C4C2×D4×C1114yes—
447C22×C4C2×D4×C1118yes—
448C22×C4C2×D4×C1114yes—
449C22×C4C2×Q8×C1114yes—
450C22×C4C2×Q8×C1114yes—
451C22×C4C2×Q8×C1114yes—
452C22×C4C2×Q8×C1114yes—
453C22×C4C2×Q8×C11116yescomplemented
454C22×C4C11×#4114yes—
455C22×C4C24×C1114yes—
456C22×C4C24×C1114yes—
457C22×C4C24×C1114yes—
458C22×C4C24×C1112yes—
459C22×C4C24×C1112yes—
460C22×C4C24×C1114yes—
461C22×C4C24×C1112yes—
462C22×C4C24×C1112yes—
463C22×C4C24×C1112yes—
464C22×C4C24×C1112yes—
465C4⋊C4—216no—
466C4⋊C4—28no—
467C4⋊C4—216no—
468C4⋊C4—216no—
469C4⋊C4—216no—
470C4⋊C4—216no—
471C4⋊C4—28no—
472C4⋊C4—28no—
473C4⋊C4—48no—
474C4⋊C4C2×D4×C11116yes—
475C22⋊C4—216no—
476C22⋊C4C2×D4×C11116yes—
477C22⋊C4C2×Q8×C11116yescomplemented
478C42—28no—
479C42—28no—
480C11C2×#244011yescharacteristic, direct product factor, Sylow
481C23—28no—
482C23—28no—
483C23—28no—
484C23—28no—
485C23—28no—
486C23—28no—
487C23—22no—
488C23—22no—
489C23—22no—
490C23—22no—
491C23C11×C4⋊Q8116yescomplemented
492C23C22×D4×C1114yes—
493C23C22×D4×C1112yes—
494C23C22×D4×C1112yes—
495C23C22×Q8×C1114yes—
496C23C22×Q8×C1114yes—
497C23C22×Q8×C1112yes—
498C23C22×Q8×C1112yes—
499C23C2×C11×#4112yes—
500C23C11×H(5,𝔽2)12yes—
501C23C11×2−1+412yes—
502C23C25×C1111yescharacteristic
503Q8—432no—
504C2×C4—28no—
505C2×C4—216no—
506C2×C4—28no—
507C2×C4—28no—
508C2×C4—28no—
509C2×C4—28no—
510C2×C4—22no—
511C2×C4—22no—
512C2×C4—22no—
513C2×C4—24no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—22no—
517C2×C4—22no—
518C2×C4—24no—
519C2×C4—22no—
520C2×C4—22no—
521C2×C4—22no—
522C2×C4—232no—
523C2×C4—24no—
524C2×C4—24no—
525C2×C4—24no—
526C2×C4—24no—
527C2×C4—24no—
528C2×C4—24no—
529C2×C4—24no—
530C2×C4—24no—
531C2×C4—24no—
532C2×C4—432no—
533C2×C4—48no—
534C2×C4—48no—
535C2×C4—48no—
536C2×C4C11×C22⋊Q8116yescomplemented
537C2×C4C22×D4×C1114yes—
538C2×C4C22×D4×C1114yes—
539C2×C4C22×D4×C1118yes—
540C2×C4C22×D4×C1114yes—
541C2×C4C22×Q8×C1114yes—
542C2×C4C22×Q8×C1114yes—
543C2×C4C22×Q8×C1114yes—
544C2×C4C22×Q8×C1114yes—
545C2×C4C2×C11×#4114yes—
546C22—24no—
547C22—24no—
548C22—24no—
549C22—232no—
550C22—24no—
551C22—24no—
552C22—24no—
553C22C2×C11×C22⋊Q814yes—
554C22C2×C11×C4⋊Q814yes—
555C22C2×C11×C4⋊Q818yescomplemented
556C22C11×#54414yes—
557C22D42×C1114yes—
558C22C11×#54714yes—
559C22D4×Q8×C1114yes—
560C22C11×#55414yes—
561C22C23×D4×C1111yescharacteristic
562C22C23×D4×C1111yescharacteristic
563C22C23×Q8×C1111yescharacteristic
564C22C23×Q8×C1111yescharacteristic
565C22C22×C11×#4111yescharacteristic
566C22C2×C11×H(5,𝔽2)11yescharacteristic
567C22C2×C11×2−1+411yescharacteristic
568C4—24no—
569C4—28no—
570C4—24no—
571C4—24no—
572C4—24no—
573C4—24no—
574C4—44no—
575C4—44no—
576C4—44no—
577C4C2×C11×C22⋊Q818yescomplemented
578C2—28no—
579C2C11×#244018yesdirect product factor
580C2C22×C11×C22⋊Q811yescharacteristic
581C2C22×C11×C4⋊Q811yescharacteristic
582C2C2×C11×#54411yescharacteristic
583C2C2×D42×C1111yescharacteristic
584C2C2×C11×#54711yescharacteristic
585C2C2×D4×Q8×C1111yescharacteristic
586C2C2×C11×#55411yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutator, Frattini, cosocleC23C25×C11
prime radicalC25×C11C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C11×C4⋊Q8C2semidirect
4. C11×#2440C2direct (N × H)
5. C2×C11×#398C2semidirect
6. C2×C11×#395C2semidirect
7. C2×C11×#389C2semidirect
8. C2×C11×#389C2semidirect
10. C2×C11×#384C2semidirect
17. C2×C11×C4⋊Q8C22semidirect
37. C11×#398C22semidirect
38. C11×#395C22semidirect
39. C11×#389C22semidirect
40. C11×#389C22semidirect
42. C11×#384C22semidirect
60. C23×C4×C11Q8semidirect
98. C2×C11×C22⋊C4Q8semidirect
111. C2×#2440C11direct (N × H)
161. C22×C4×C11C2×Q8semidirect
185. C11×C22⋊C4C2×Q8semidirect
188. C22×C4⋊Q8C2×C11semidirect
191. #2440C2×C11direct (N × H)
192. C2×#398C2×C11semidirect
193. C2×#395C2×C11semidirect
194. C2×#389C2×C11semidirect
195. C2×#389C2×C11semidirect
197. C2×#384C2×C11semidirect
210. C23×C11C4⋊Q8semidirect
255. C2×C4×C11C22⋊Q8semidirect
269. C2×C4⋊Q8C22×C11semidirect
289. #398C22×C11semidirect
290. #395C22×C11semidirect
291. #389C22×C11semidirect
292. #389C22×C11semidirect
294. #384C22×C11semidirect
311. C22×C11C2×C4⋊Q8semidirect
333. C4×C11C2×C22⋊Q8semidirect
344. C23×C4Q8×C11semidirect
382. C2×C22⋊C4Q8×C11semidirect
396. C2×C11#2440direct (N × H)
453. C22×C4C2×Q8×C11semidirect
477. C22⋊C4C2×Q8×C11semidirect
480. C11C2×#2440direct (N × H)
491. C23C11×C4⋊Q8semidirect
536. C2×C4C11×C22⋊Q8semidirect
555. C22C2×C11×C4⋊Q8semidirect
577. C4C2×C11×C22⋊Q8semidirect
579. C2C11×#2440direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×C4⋊Q82
C22×C11×C22⋊Q82
C23×C11×C4⋊C42
C11×#24402
C2×C11×#3982
C2×C11×#3952
C2×C11×#3892
C2×C11×#3852
C2×C11×#3842
C2×C11×#3802
C2×C4×C11×C22⋊C42
C2×#244011