Finite Group Databasebeta

← C11×#23864 #14601057

Subgroups — C11×#23864 #14601057

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
2C2×C11×#547C211yesmaximal, characteristic, complemented
3C2×C11×#449C212yesmaximal, complemented
4C2×C11×#450C211yesmaximal, characteristic, complemented
5C11×#2408C211yesmaximal, characteristic, complemented
6C11×#2013C212yesmaximal, complemented
7C11×#2000C212yesmaximal, complemented
8C11×#1894C211yesmaximal, characteristic, complemented
9C11×#1879C212yesmaximal, complemented
10C11×#1870C211yesmaximal, characteristic, complemented
11C11×#1788C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C22×C11×#41C2211yescharacteristic, complemented
14C23×D4×C11C2211yescharacteristic
15C2×C11×AGL(1,ℤ/8)—24no—
16C2×C11×AGL(1,ℤ/8)—28no—
17C22×C11×SD16C2212yes—
18C22×C11×SD16C2212yes—
19C22×C11×D8C2212yes—
20C22×C11×M16C2211yescharacteristic
21C11×#547—24no—
22C11×#547—24no—
23C2×C11×C4⋊Q8C2211yescharacteristic, complemented
24C2×C11×#123—21no—
25C2×C11×#123—21no—
26C2×C11×C22⋊Q8C2211yescharacteristic
27C2×C11×C22⋊Q8C2211yescharacteristic, complemented
28C2×C11×#121—21no—
29C2×C11×#121C2212yes—
30C2×C11×#120—21no—
31C2×C4×D4×C11C2211yescharacteristic
32C2×C4×D4×C11C2211yescharacteristic, complemented
33C22×C11×C4⋊C4—21no—
34C11×#450—24no—
35C11×#449—28no—
36C2×C11×#103C2212yescomplemented
37C2×C11×#103C2212yescomplemented
38C2×C11×#102C2212yes—
39C2×C11×#102C2212yescomplemented
40C2×C11×C22⋊C8C2211yescharacteristic
41C2×C11×C22⋊C8C2212yescomplemented
42C11×#394—21no—
43C11×#392—21no—
44C11×#390C2212yes—
45C11×#380C2211yescharacteristic
46C11×#379—21no—
47C11×#340C2212yescomplemented
48C11×#336C2212yescomplemented
49C25×C11—21no—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41—24no—
54C2×C11×#41—24no—
55C2×C11×#41—42no—
56C2×C11×#41—42no—
57C2×C11×#41D414yescomplemented
58C22×Q8×C11C2311yescharacteristic
59C22×Q8×C11C2311yescharacteristic
60C22×D4×C11—24no—
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11—22no—
64C22×D4×C11—22no—
65C22×D4×C11—22no—
66C22×D4×C11—21no—
67C22×D4×C11—42no—
68C22×D4×C11D411yescharacteristic
69C22×D4×C11C2312yes—
70C22×D4×C11C2311yescharacteristic
71C23×C4×C11—21no—
72C23×C4×C11—21no—
73C23×C4×C11—21no—
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C11×AGL(1,ℤ/8)—232no—
77C2×C11×SD16—24no—
78C2×C11×SD16—24no—
79C2×C11×SD16—24no—
80C2×C11×SD16—24no—
81C2×C11×SD16—24no—
82C2×C11×SD16—42no—
83C2×C11×D8—24no—
84C2×C11×D8—24no—
85C2×C11×D8D418yescomplemented
86C2×C11×M16—22no—
87C2×C11×M16—24no—
88C22×C8×C11C2312yes—
89C22×C8×C11C2312yes—
90C11×C4⋊Q8—22no—
91C11×C4⋊Q8—22no—
92C11×#123—28no—
93C11×#123—28no—
94C11×C22⋊Q8—22no—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—22no—
97C11×C22⋊Q8D414yescomplemented
98C11×#121—28no—
99C11×#121—24no—
100C11×#121—42no—
101C11×#120—44no—
102C4×D4×C11—22no—
103C4×D4×C11—22no—
104C4×D4×C11—22no—
105C4×D4×C11—22no—
106C2×C11×C4⋊C4—28no—
107C2×C11×C4⋊C4—21no—
108C2×C11×C4⋊C4—21no—
109C2×C11×C4⋊C4—21no—
110C2×C11×C4⋊C4—21no—
111C2×C11×C4⋊C4D411yescharacteristic
112C2×C11×C4⋊C4C2312yes—
113C2×C11×C4⋊C4C2311yescharacteristic
114C2×C11×C22⋊C4—21no—
115C2×C11×C22⋊C4—21no—
116C2×C11×C22⋊C4—21no—
117C2×C11×C22⋊C4—21no—
118C2×C11×C22⋊C4—22no—
119C2×C11×C22⋊C4—22no—
120C2×C11×C22⋊C4—22no—
121C2×C11×C22⋊C4D411yescharacteristic
122C2×C11×C22⋊C4D411yescharacteristic
123C2×C42×C11C2311yescharacteristic
124C11×#103—24no—
125C11×#103—42no—
126C11×#102—24no—
127C11×#102—24no—
128C11×C22⋊C8—22no—
129C11×C22⋊C8—24no—
130C11×#95—21no—
131#23864C1111yesmaximal, characteristic, direct product factor, Sylow
132C24×C11—21no—
133C24×C11—22no—
134C24×C11—44no—
135C24×C11—42no—
136C24×C11—42no—
137C24×C11—42no—
138C24×C11—82no—
139C24×C11C2×D411yescharacteristic
140C24×C11C2×D411yescharacteristic
141C11×#41—28no—
142C11×#41—44no—
143C11×#41—48no—
144C11×#41—48no—
145C11×#41—44no—
146C11×#41—44no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—22no—
150C2×Q8×C11—22no—
151C2×Q8×C11—22no—
152C2×Q8×C11—22no—
153C2×Q8×C11C2×D412yes—
154C2×Q8×C11C2×D412yes—
155C2×D4×C11—28no—
156C2×D4×C11—24no—
157C2×D4×C11—22no—
158C2×D4×C11—24no—
159C2×D4×C11—22no—
160C2×D4×C11—21no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—48no—
168C2×D4×C11—41no—
169C2×D4×C11—44no—
170C2×D4×C11—44no—
171C2×D4×C11—44no—
172C2×D4×C11—44no—
173C2×D4×C11—44no—
174C2×D4×C11—44no—
175C2×D4×C11—42no—
176C2×D4×C11—82no—
177C2×D4×C11C2×D414yes—
178C2×D4×C11C2×D414yes—
179C2×D4×C11C2×D412yes—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—24no—
183C22×C4×C11—24no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—24no—
188C22×C4×C11—22no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—22no—
192C22×C4×C11—22no—
193C22×C4×C11—44no—
194C22×C4×C11—44no—
195C22×C4×C11—42no—
196C22×C4×C11—42no—
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D412yes—
201C22×C4×C11C2×D412yes—
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2411yescharacteristic
204C11×SD16—216no—
205C11×SD16—48no—
206C11×D8—216no—
207C11×M16—28no—
208C2×C8×C11—22no—
209C2×C8×C11—22no—
210C2×C8×C11—22no—
211C2×C8×C11—22no—
212C2×C8×C11—22no—
213C2×C8×C11C2×D414yes—
214C11×C4⋊C4—24no—
215C11×C4⋊C4—24no—
216C11×C4⋊C4—24no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4C2×D412yes—
223C11×C22⋊C4—24no—
224C11×C22⋊C4—24no—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—44no—
229C11×C22⋊C4—42no—
230C11×C22⋊C4—44no—
231C11×C22⋊C4—82no—
232C42×C11—21no—
233C42×C11—21no—
234C22×AGL(1,ℤ/8)C2×C1111yescharacteristic, complemented
235C2×#547C2×C1111yescharacteristic, complemented
236C2×#449C2×C1112yescomplemented
237C2×#450C2×C1111yescharacteristic, complemented
238#2408C2×C1111yescharacteristic, complemented
239#2013C2×C1112yescomplemented
240#2000C2×C1112yescomplemented
241#1894C2×C1111yescharacteristic, complemented
242#1879C2×C1112yescomplemented
243#1870C2×C1111yescharacteristic, complemented
244#1788C2×C1111yescharacteristic, complemented
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—24no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—22no—
251C23×C11—21no—
252C23×C11—24no—
253C23×C11—22no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—22no—
257C23×C11—48no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11—42no—
265C23×C11—42no—
266C23×C11—42no—
267C23×C11—84no—
268C23×C11—84no—
269C23×C11—88no—
270C23×C11—88no—
271C23×C11#12012yes—
272C23×C11C22×D411yescharacteristic
273Q8×C11—22no—
274Q8×C11—22no—
275Q8×C11—24no—
276Q8×C11—41no—
277Q8×C11—41no—
278Q8×C11—42no—
279D4×C11—24no—
280D4×C11—22no—
281D4×C11—24no—
282D4×C11—24no—
283D4×C11—44no—
284D4×C11—48no—
285D4×C11—48no—
286D4×C11—48no—
287D4×C11—42no—
288D4×C11—42no—
289D4×C11—88no—
290D4×C11#12014yescomplemented
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—21no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—24no—
297C2×C4×C11—21no—
298C2×C4×C11—22no—
299C2×C4×C11—21no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—48no—
305C2×C4×C11—48no—
306C2×C4×C11—48no—
307C2×C4×C11—42no—
308C2×C4×C11—42no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—42no—
314C2×C4×C11—42no—
315C2×C4×C11—42no—
316C2×C4×C11—42no—
317C2×C4×C11#12012yes—
318C2×C4×C11AGL(1,ℤ/8)12yescomplemented
319C2×C4×C11C22×D411yescharacteristic
320C2×C4×C11C22×D412yes—
321C2×C4×C11C22×D411yescharacteristic
322C2×C4×C11H(5,𝔽2)12yes—
323C8×C11—24no—
324C8×C11—42no—
325C22×#41C22×C1111yescharacteristic
326C22×#41C22×C1111yescharacteristic, complemented
327C23×D4C22×C1111yescharacteristic
328C2×AGL(1,ℤ/8)—24no—
329C2×AGL(1,ℤ/8)—28no—
330C22×SD16C22×C1112yes—
331C22×SD16C22×C1112yes—
332C22×D8C22×C1112yes—
333C22×M16C22×C1111yescharacteristic
334#547—24no—
335#547—24no—
336C2×C4⋊Q8C22×C1111yescharacteristic, complemented
337C2×#123—21no—
338C2×#123—21no—
339C2×C22⋊Q8C22×C1111yescharacteristic
340C2×C22⋊Q8C22×C1111yescharacteristic, complemented
341C2×#121—21no—
342C2×#121C22×C1112yes—
343C2×#120—21no—
344C2×C4×D4C22×C1111yescharacteristic
345C2×C4×D4C22×C1111yescharacteristic, complemented
346C22×C4⋊C4—21no—
347#450—24no—
348#449—28no—
349C2×#103C22×C1112yescomplemented
350C2×#103C22×C1112yescomplemented
351C2×#102C22×C1112yes—
352C2×#102C22×C1112yescomplemented
353C2×C22⋊C8C22×C1111yescharacteristic
354C2×C22⋊C8C22×C1112yescomplemented
355#394—21no—
356#392—21no—
357#390C22×C1112yes—
358#380C22×C1111yescharacteristic
359#379—21no—
360#340C22×C1112yescomplemented
361#336C22×C1112yescomplemented
362C22×C11—22no—
363C22×C11—24no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—44no—
370C22×C11—42no—
371C22×C11—44no—
372C22×C11—41no—
373C22×C11—44no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—42no—
377C22×C11—44no—
378C22×C11—42no—
379C22×C11—44no—
380C22×C11—816no—
381C22×C11—82no—
382C22×C11—82no—
383C22×C11—82no—
384C22×C11—82no—
385C22×C11C2×#12011yescharacteristic
386C22×C11D4212yes—
387C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C11#57511yescharacteristic
389C22×C11#57712yes—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—41no—
393C4×C11—42no—
394C4×C11—42no—
395C4×C11—42no—
396C4×C11—41no—
397C4×C11—82no—
398C4×C11C2×#12011yescharacteristic
399C4×C11#53411yescharacteristic
400C4×C11D4212yes—
401C25—21no—
402C2×#41—22no—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—24no—
406C2×#41—24no—
407C2×#41—42no—
408C2×#41—42no—
409C2×#41D4×C1114yescomplemented
410C22×Q8C23×C1111yescharacteristic
411C22×Q8C23×C1111yescharacteristic
412C22×D4—24no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—22no—
416C22×D4—22no—
417C22×D4—22no—
418C22×D4—21no—
419C22×D4—42no—
420C22×D4D4×C1111yescharacteristic
421C22×D4C23×C1112yes—
422C22×D4C23×C1111yescharacteristic
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4C23×C1111yescharacteristic
427C23×C4C23×C1111yescharacteristic
428AGL(1,ℤ/8)—232no—
429C2×SD16—24no—
430C2×SD16—24no—
431C2×SD16—24no—
432C2×SD16—24no—
433C2×SD16—24no—
434C2×SD16—42no—
435C2×D8—24no—
436C2×D8—24no—
437C2×D8D4×C1118yescomplemented
438C2×M16—22no—
439C2×M16—24no—
440C22×C8C23×C1112yes—
441C22×C8C23×C1112yes—
442C4⋊Q8—22no—
443C4⋊Q8—22no—
444#123—28no—
445#123—28no—
446C22⋊Q8—22no—
447C22⋊Q8—22no—
448C22⋊Q8—22no—
449C22⋊Q8D4×C1114yescomplemented
450#121—28no—
451#121—24no—
452#121—42no—
453#120—44no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—22no—
458C2×C4⋊C4—28no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4D4×C1111yescharacteristic
464C2×C4⋊C4C23×C1112yes—
465C2×C4⋊C4C23×C1111yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—22no—
471C2×C22⋊C4—22no—
472C2×C22⋊C4—22no—
473C2×C22⋊C4D4×C1111yescharacteristic
474C2×C22⋊C4D4×C1111yescharacteristic
475C2×C42C23×C1111yescharacteristic
476#103—24no—
477#103—42no—
478#102—24no—
479#102—24no—
480C22⋊C8—22no—
481C22⋊C8—24no—
482#95—21no—
483C2×C11—42no—
484C2×C11—44no—
485C2×C11—81no—
486C2×C11—84no—
487C2×C11#240311yescharacteristic
488C2×C11#300611yescharacteristic
489C2×C11#301011yescharacteristic
490C2×C11#326712yes—
491C2×C11#327212yes—
492C24—21no—
493C24—22no—
494C24—44no—
495C24—42no—
496C24—42no—
497C24—42no—
498C24—82no—
499C24C2×D4×C1111yescharacteristic
500C24C2×D4×C1111yescharacteristic
501#41—28no—
502#41—44no—
503#41—48no—
504#41—48no—
505#41—44no—
506#41—44no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—22no—
512C2×Q8—22no—
513C2×Q8C2×D4×C1112yes—
514C2×Q8C2×D4×C1112yes—
515C2×D4—28no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—24no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—22no—
527C2×D4—48no—
528C2×D4—41no—
529C2×D4—44no—
530C2×D4—44no—
531C2×D4—44no—
532C2×D4—44no—
533C2×D4—44no—
534C2×D4—44no—
535C2×D4—42no—
536C2×D4—82no—
537C2×D4C2×D4×C1114yes—
538C2×D4C2×D4×C1114yes—
539C2×D4C2×D4×C1112yes—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—24no—
548C22×C4—22no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—44no—
554C22×C4—44no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4C2×D4×C1111yescharacteristic
558C22×C4C2×D4×C1111yescharacteristic
559C22×C4C2×D4×C1111yescharacteristic
560C22×C4C2×D4×C1112yes—
561C22×C4C2×D4×C1112yes—
562C22×C4C2×D4×C1111yescharacteristic
563C22×C4C24×C1111yescharacteristic
564SD16—216no—
565SD16—48no—
566D8—216no—
567M16—28no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C2×D4×C1114yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—22no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4C2×D4×C1112yes—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—44no—
589C22⋊C4—42no—
590C22⋊C4—44no—
591C22⋊C4—82no—
592C42—21no—
593C42—21no—
594C11#2386411yescharacteristic, direct product factor, Sylow
595C23—22no—
596C23—22no—
597C23—24no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—21no—
602C23—24no—
603C23—22no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—48no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—84no—
618C23—84no—
619C23—88no—
620C23—88no—
621C23C11×#12012yes—
622C23C22×D4×C1111yescharacteristic
623Q8—22no—
624Q8—22no—
625Q8—24no—
626Q8—41no—
627Q8—41no—
628Q8—42no—
629D4—24no—
630D4—22no—
631D4—24no—
632D4—24no—
633D4—44no—
634D4—48no—
635D4—48no—
636D4—48no—
637D4—42no—
638D4—42no—
639D4—88no—
640D4C11×#12014yescomplemented
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—48no—
655C2×C4—48no—
656C2×C4—48no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4C11×#12012yes—
668C2×C4C11×AGL(1,ℤ/8)12yescomplemented
669C2×C4C22×D4×C1111yescharacteristic
670C2×C4C22×D4×C1112yes—
671C2×C4C22×D4×C1111yescharacteristic
672C2×C4C11×H(5,𝔽2)12yes—
673C8—24no—
674C8—42no—
675C22—22no—
676C22—24no—
677C22—22no—
678C22—22no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—44no—
683C22—42no—
684C22—44no—
685C22—41no—
686C22—44no—
687C22—41no—
688C22—41no—
689C22—42no—
690C22—44no—
691C22—42no—
692C22—44no—
693C22—816no—
694C22—82no—
695C22—82no—
696C22—82no—
697C22—82no—
698C22C2×C11×#12011yescharacteristic
699C22D42×C1112yes—
700C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
701C22C11×#57511yescharacteristic
702C22C11×#57712yes—
703C4—22no—
704C4—22no—
705C4—41no—
706C4—42no—
707C4—42no—
708C4—42no—
709C4—41no—
710C4—82no—
711C4C2×C11×#12011yescharacteristic
712C4C11×#53411yescharacteristic
713C4D42×C1112yes—
714C2—42no—
715C2—44no—
716C2—81no—
717C2—84no—
718C2C11×#240311yescharacteristic
719C2C11×#300611yescharacteristic
720C2C11×#301011yescharacteristic
721C2C11×#326712yes—
722C2C11×#327212yes—
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C11×AGL(1,ℤ/8)C2semidirect
2. C2×C11×#547C2semidirect
3. C2×C11×#449C2semidirect
4. C2×C11×#450C2semidirect
5. C11×#2408C2semidirect
6. C11×#2013C2semidirect
7. C11×#2000C2semidirect
8. C11×#1894C2semidirect
9. C11×#1879C2semidirect
10. C11×#1870C2semidirect
11. C11×#1788C2semidirect
13. C22×C11×#41C22semidirect
23. C2×C11×C4⋊Q8C22semidirect
27. C2×C11×C22⋊Q8C22semidirect
32. C2×C4×D4×C11C22semidirect
36. C2×C11×#103C22semidirect
37. C2×C11×#103C22semidirect
39. C2×C11×#102C22semidirect
41. C2×C11×C22⋊C8C22semidirect
47. C11×#340C22semidirect
48. C11×#336C22semidirect
57. C2×C11×#41D4semidirect
85. C2×C11×D8D4semidirect
97. C11×C22⋊Q8D4semidirect
131. #23864C11direct (N × H)
234. C22×AGL(1,ℤ/8)C2×C11semidirect
235. C2×#547C2×C11semidirect
236. C2×#449C2×C11semidirect
237. C2×#450C2×C11semidirect
238. #2408C2×C11semidirect
239. #2013C2×C11semidirect
240. #2000C2×C11semidirect
241. #1894C2×C11semidirect
242. #1879C2×C11semidirect
243. #1870C2×C11semidirect
244. #1788C2×C11semidirect
290. D4×C11#120semidirect
318. C2×C4×C11AGL(1,ℤ/8)semidirect
326. C22×#41C22×C11semidirect
336. C2×C4⋊Q8C22×C11semidirect
340. C2×C22⋊Q8C22×C11semidirect
345. C2×C4×D4C22×C11semidirect
349. C2×#103C22×C11semidirect
350. C2×#103C22×C11semidirect
352. C2×#102C22×C11semidirect
354. C2×C22⋊C8C22×C11semidirect
360. #340C22×C11semidirect
361. #336C22×C11semidirect
409. C2×#41D4×C11semidirect
437. C2×D8D4×C11semidirect
449. C22⋊Q8D4×C11semidirect
594. C11#23864direct (N × H)
640. D4C11×#120semidirect
668. C2×C4C11×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C22×C11×AGL(1,ℤ/8)2
C2×C11×#5472
C2×C11×#4492
C2×C11×#4502
C11×#24082
C11×#20132
C11×#20002
C11×#18942
C11×#18792
C11×#18702
C11×#17882
#2386411