Finite Group Databasebeta

← C2×C11×#3190 #14637925

Subgroups — C2×C11×#3190 #14637925

Order 2816.

2374 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#525C211yesmaximal, characteristic
2C22×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
3C11×#3190C2116yesmaximal, direct product factor
4C2×C11×#485C212yesmaximal, complemented
5C2×C11×#483C211yesmaximal, characteristic, complemented
6C2×C11×#480C211yesmaximal, characteristic, complemented
7C2×C11×#467C212yesmaximal, complemented
8C2×C11×#465C212yesmaximal, complemented
9C2×C11×#452C212yesmaximal, complemented
10C2×C11×#451C211yesmaximal, characteristic, complemented
11C2×C11×#448C211yesmaximal, characteristic, complemented
12C22×C11×C22⋊C8C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic
14C23×Q8×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C22×C11×Q16C2212yescomplemented
17C22×C11×SD16C2212yescomplemented
18C23×C8×C11C2212yes—
19C11×#525—24no—
20C11×#525C2218yes—
21C2×C11×#123—21no—
22C2×C11×C22⋊Q8—21no—
23C2×C11×C22⋊Q8—21no—
24C2×C11×C22⋊Q8—24no—
25C2×C11×C22⋊Q8C2212yes—
26C2×C11×C22⋊Q8C2212yes—
27C2×C11×C22⋊Q8C2211yescharacteristic
28C2×C11×C22⋊Q8C2211yescharacteristic
29C2×C11×C22⋊Q8C2218yescomplemented
30C2×C11×#121C2211yescharacteristic
31C2×C11×#121C2211yescharacteristic
32C2×C11×#120—21no—
33C2×C4×D4×C11—21no—
34C2×C4×D4×C11—21no—
35C2×C11×#117C2211yescharacteristic
36C22×C11×C4⋊C4—21no—
37C22×C11×C4⋊C4C2211yescharacteristic
38C22×C11×C22⋊C4—21no—
39C11×#485C22116yescomplemented
40C11×#483C2218yescomplemented
41C11×#480C2218yescomplemented
42C11×#467C22116yescomplemented
43C11×#465C22116yescomplemented
44C11×#452C22116yescomplemented
45C11×#451C2218yescomplemented
46C11×#448C2218yescomplemented
47C2×C11×#107C2212yescomplemented
48C2×C11×#106C2212yescomplemented
49C2×C11×#103C2212yescomplemented
50C2×C11×#103C2212yescomplemented
51C2×C11×#103C2212yescomplemented
52C2×C11×#102C2212yescomplemented
53C2×C11×C22⋊C8C2211yescharacteristic
54C2×C11×C22⋊C8C2211yescharacteristic
55C2×C11×C22⋊C8C2212yes—
56C2×C11×C22⋊C8C2218yescomplemented
57C25×C11D411yescharacteristic
58C2×C11×#41—22no—
59C2×C11×#41—44no—
60C2×C11×#41C2314yes—
61C22×Q8×C11—22no—
62C22×Q8×C11—21no—
63C22×Q8×C11—44no—
64C22×Q8×C11C2312yes—
65C22×Q8×C11C2311yescharacteristic
66C22×Q8×C11C2314yes—
67C22×D4×C11—21no—
68C22×D4×C11—21no—
69C22×D4×C11—21no—
70C22×D4×C11C2311yescharacteristic
71C23×C4×C11—21no—
72C23×C4×C11—21no—
73C23×C4×C11—21no—
74C23×C4×C11—44no—
75C23×C4×C11D411yescharacteristic
76C23×C4×C11D411yescharacteristic
77C23×C4×C11D411yescharacteristic
78C23×C4×C11D414yes—
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2314yes—
83C2×C11×Q16—44no—
84C2×C11×Q16C2318yescomplemented
85C2×C11×SD16—44no—
86C2×C11×SD16C2318yescomplemented
87C22×C8×C11—44no—
88C22×C8×C11C2312yes—
89C22×C8×C11C2312yes—
90C22×C8×C11C2318yes—
91C11×#123—28no—
92C11×C22⋊Q8—24no—
93C11×C22⋊Q8—24no—
94C11×C22⋊Q8—28no—
95C11×C22⋊Q8—28no—
96C11×C22⋊Q8—22no—
97C11×C22⋊Q8—22no—
98C11×C22⋊Q8C2318yes—
99C11×C22⋊Q8C2318yes—
100C11×C22⋊Q8C2314yes—
101C11×C22⋊Q8C2314yes—
102C11×#121—22no—
103C11×#121—22no—
104C11×#121C2314yes—
105C11×#121C2314yes—
106C11×#120—28no—
107C4×D4×C11—28no—
108C4×D4×C11—28no—
109C11×#117—22no—
110C11×#117C2314yes—
111C2×C11×C4⋊C4—22no—
112C2×C11×C4⋊C4—22no—
113C2×C11×C4⋊C4—28no—
114C2×C11×C4⋊C4—22no—
115C2×C11×C4⋊C4—21no—
116C2×C11×C4⋊C4—21no—
117C2×C11×C4⋊C4—21no—
118C2×C11×C4⋊C4C2312yes—
119C2×C11×C4⋊C4C2314yes—
120C2×C11×C4⋊C4C2311yescharacteristic
121C2×C11×C4⋊C4C2311yescharacteristic
122C2×C11×C22⋊C4—22no—
123C2×C11×C22⋊C4—22no—
124C2×C11×C22⋊C4—28no—
125C2×C11×C22⋊C4—21no—
126C2×C11×C22⋊C4—21no—
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4—21no—
129C2×C11×C22⋊C4—21no—
130C2×C42×C11—21no—
131C11×#107C2318yescomplemented
132C11×#106C2318yescomplemented
133C11×#103C2318yescomplemented
134C11×#103C2318yescomplemented
135C11×#103C2318yescomplemented
136C11×#102C2318yescomplemented
137C11×C22⋊C8C2314yes—
138C11×C22⋊C8C2314yes—
139C11×C22⋊C8C2318yes—
140C2×#3190C1111yesmaximal, characteristic, direct product factor, Sylow
141C24×C11—24no—
142C24×C11—24no—
143C24×C11—21no—
144C24×C11—42no—
145C24×C11C2×D411yescharacteristic
146C24×C11C2×D414yes—
147C24×C11C2×D411yescharacteristic
148C24×C11C2×D411yescharacteristic
149C11×#41—48no—
150C11×#41—48no—
151C2×Q8×C11—24no—
152C2×Q8×C11—22no—
153C2×Q8×C11—21no—
154C2×Q8×C11—24no—
155C2×Q8×C11—24no—
156C2×Q8×C11—24no—
157C2×Q8×C11—48no—
158C2×Q8×C11—44no—
159C2×Q8×C11—48no—
160C2×Q8×C11C2414yes—
161C2×Q8×C11C2412yes—
162C2×D4×C11—24no—
163C2×D4×C11—24no—
164C2×D4×C11—24no—
165C2×D4×C11—21no—
166C2×D4×C11—24no—
167C2×D4×C11—44no—
168C2×D4×C11—44no—
169C2×D4×C11—44no—
170C2×D4×C11C2412yes—
171C22×C4×C11—24no—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—24no—
175C22×C4×C11—24no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—22no—
179C22×C4×C11—21no—
180C22×C4×C11—22no—
181C22×C4×C11—24no—
182C22×C4×C11—48no—
183C22×C4×C11—48no—
184C22×C4×C11—42no—
185C22×C4×C11—42no—
186C22×C4×C11—42no—
187C22×C4×C11—44no—
188C22×C4×C11—44no—
189C22×C4×C11—44no—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D414yes—
197C22×C4×C11C2×D414yes—
198C22×C4×C11C2×D414yes—
199C22×C4×C11C2412yes—
200C22×C4×C11C2412yes—
201C22×C4×C11C2412yes—
202C22×C4×C11C2411yescharacteristic
203C11×Q16—48no—
204C11×SD16—48no—
205C2×C8×C11—24no—
206C2×C8×C11—24no—
207C2×C8×C11—48no—
208C2×C8×C11C2414yes—
209C2×C8×C11C2414yes—
210C11×C4⋊C4—28no—
211C11×C4⋊C4—28no—
212C11×C4⋊C4—24no—
213C11×C4⋊C4—22no—
214C11×C4⋊C4—24no—
215C11×C4⋊C4—24no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4C2414yes—
219C11×C4⋊C4C2412yes—
220C11×C4⋊C4C2412yes—
221C11×C22⋊C4—28no—
222C11×C22⋊C4—28no—
223C11×C22⋊C4—24no—
224C11×C22⋊C4—24no—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—24no—
227C11×C22⋊C4—24no—
228C42×C11—24no—
229C2×#525C2×C1111yescharacteristic
230C22×C22⋊Q8C2×C1111yescharacteristic, complemented
231#3190C2×C11116yesdirect product factor
232C2×#485C2×C1112yescomplemented
233C2×#483C2×C1111yescharacteristic, complemented
234C2×#480C2×C1111yescharacteristic, complemented
235C2×#467C2×C1112yescomplemented
236C2×#465C2×C1112yescomplemented
237C2×#452C2×C1112yescomplemented
238C2×#451C2×C1111yescharacteristic, complemented
239C2×#448C2×C1111yescharacteristic, complemented
240C22×C22⋊C8C2×C1111yescharacteristic, complemented
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—28no—
247C23×C11—22no—
248C23×C11—28no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—44no—
252C23×C11—416no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11#13514yes—
257C23×C11#13714yes—
258C23×C11C22×D412yes—
259C23×C11C22×D412yes—
260C23×C11C22×D412yes—
261C23×C11C22×D411yescharacteristic
262Q8×C11—24no—
263Q8×C11—24no—
264Q8×C11—24no—
265Q8×C11—48no—
266Q8×C11—44no—
267Q8×C11—42no—
268D4×C11—24no—
269D4×C11—48no—
270D4×C11—48no—
271D4×C11—48no—
272D4×C11—42no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—22no—
286C2×C4×C11—24no—
287C2×C4×C11—44no—
288C2×C4×C11—44no—
289C2×C4×C11—44no—
290C2×C4×C11—48no—
291C2×C4×C11—48no—
292C2×C4×C11—42no—
293C2×C4×C11—44no—
294C2×C4×C11—48no—
295C2×C4×C11—44no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11H(5,𝔽2)14yes—
303C2×C4×C11C2511yescharacteristic
304C8×C11—24no—
305C8×C11—24no—
306C22×#41C22×C1111yescharacteristic
307C23×Q8C22×C1111yescharacteristic
308C24×C4C22×C1111yescharacteristic
309C22×Q16C22×C1112yescomplemented
310C22×SD16C22×C1112yescomplemented
311C23×C8C22×C1112yes—
312#525—24no—
313#525C22×C1118yes—
314C2×#123—21no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8—21no—
317C2×C22⋊Q8—24no—
318C2×C22⋊Q8C22×C1111yescharacteristic
319C2×C22⋊Q8C22×C1112yes—
320C2×C22⋊Q8C22×C1112yes—
321C2×C22⋊Q8C22×C1111yescharacteristic
322C2×C22⋊Q8C22×C1118yescomplemented
323C2×#121C22×C1111yescharacteristic
324C2×#121C22×C1111yescharacteristic
325C2×#120—21no—
326C2×C4×D4—21no—
327C2×C4×D4—21no—
328C2×#117C22×C1111yescharacteristic
329C22×C4⋊C4—21no—
330C22×C4⋊C4C22×C1111yescharacteristic
331C22×C22⋊C4—21no—
332#485C22×C11116yescomplemented
333#483C22×C1118yescomplemented
334#480C22×C1118yescomplemented
335#467C22×C11116yescomplemented
336#465C22×C11116yescomplemented
337#452C22×C11116yescomplemented
338#451C22×C1118yescomplemented
339#448C22×C1118yescomplemented
340C2×#107C22×C1112yescomplemented
341C2×#106C22×C1112yescomplemented
342C2×#103C22×C1112yescomplemented
343C2×#103C22×C1112yescomplemented
344C2×#103C22×C1112yescomplemented
345C2×#102C22×C1112yescomplemented
346C2×C22⋊C8C22×C1111yescharacteristic
347C2×C22⋊C8C22×C1111yescharacteristic
348C2×C22⋊C8C22×C1112yes—
349C2×C22⋊C8C22×C1118yescomplemented
350C22×C11—22no—
351C22×C11—22no—
352C22×C11—28no—
353C22×C11—28no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11—22no—
359C22×C11—416no—
360C22×C11—44no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—84no—
365C22×C11#53412yes—
366C22×C11C2×#13514yes—
367C22×C11C2×#13512yes—
368C22×C11C2×#13714yes—
369C22×C11C2×#13712yes—
370C22×C11C23×D411yescharacteristic
371C4×C11—22no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—42no—
375C4×C11—44no—
376C4×C11—44no—
377C4×C11—42no—
378C4×C11—42no—
379C4×C11#53412yes—
380C4×C11C2×H(5,𝔽2)12yes—
381C25D4×C1111yescharacteristic
382C2×#41—22no—
383C2×#41—44no—
384C2×#41C23×C1114yes—
385C22×Q8—21no—
386C22×Q8—22no—
387C22×Q8—44no—
388C22×Q8C23×C1112yes—
389C22×Q8C23×C1111yescharacteristic
390C22×Q8C23×C1114yes—
391C22×D4—21no—
392C22×D4—21no—
393C22×D4—21no—
394C22×D4C23×C1111yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C23×C4—44no—
399C23×C4D4×C1111yescharacteristic
400C23×C4D4×C1111yescharacteristic
401C23×C4D4×C1111yescharacteristic
402C23×C4D4×C1114yes—
403C23×C4C23×C1111yescharacteristic
404C23×C4C23×C1111yescharacteristic
405C23×C4C23×C1111yescharacteristic
406C23×C4C23×C1114yes—
407C2×Q16—44no—
408C2×Q16C23×C1118yescomplemented
409C2×SD16—44no—
410C2×SD16C23×C1118yescomplemented
411C22×C8—44no—
412C22×C8C23×C1112yes—
413C22×C8C23×C1112yes—
414C22×C8C23×C1118yes—
415#123—28no—
416C22⋊Q8—24no—
417C22⋊Q8—24no—
418C22⋊Q8—28no—
419C22⋊Q8—28no—
420C22⋊Q8—22no—
421C22⋊Q8—22no—
422C22⋊Q8C23×C1118yes—
423C22⋊Q8C23×C1118yes—
424C22⋊Q8C23×C1114yes—
425C22⋊Q8C23×C1114yes—
426#121—22no—
427#121—22no—
428#121C23×C1114yes—
429#121C23×C1114yes—
430#120—28no—
431C4×D4—28no—
432C4×D4—28no—
433#117—22no—
434#117C23×C1114yes—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—28no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4C23×C1112yes—
443C2×C4⋊C4C23×C1114yes—
444C2×C4⋊C4C23×C1111yescharacteristic
445C2×C4⋊C4C23×C1111yescharacteristic
446C2×C22⋊C4—22no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—28no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C42—21no—
455#107C23×C1118yescomplemented
456#106C23×C1118yescomplemented
457#103C23×C1118yescomplemented
458#103C23×C1118yescomplemented
459#103C23×C1118yescomplemented
460#102C23×C1118yescomplemented
461C22⋊C8C23×C1114yes—
462C22⋊C8C23×C1114yes—
463C22⋊C8C23×C1118yes—
464C2×C11—24no—
465C2×C11—24no—
466C2×C11—42no—
467C2×C11—82no—
468C2×C11#319014yesdirect product factor
469C2×C11C2×#53411yescharacteristic
470C2×C11C22×#13511yescharacteristic
471C2×C11C22×#13711yescharacteristic
472C24—24no—
473C24—24no—
474C24—21no—
475C24—42no—
476C24C2×D4×C1111yescharacteristic
477C24C2×D4×C1114yes—
478C24C2×D4×C1111yescharacteristic
479C24C2×D4×C1111yescharacteristic
480#41—48no—
481#41—48no—
482C2×Q8—24no—
483C2×Q8—22no—
484C2×Q8—21no—
485C2×Q8—24no—
486C2×Q8—24no—
487C2×Q8—24no—
488C2×Q8—48no—
489C2×Q8—44no—
490C2×Q8—48no—
491C2×Q8C24×C1114yes—
492C2×Q8C24×C1112yes—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—24no—
498C2×D4—44no—
499C2×D4—44no—
500C2×D4—44no—
501C2×D4C24×C1112yes—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4C2×D4×C1111yescharacteristic
522C22×C4C2×D4×C1111yescharacteristic
523C22×C4C2×D4×C1111yescharacteristic
524C22×C4C2×D4×C1112yes—
525C22×C4C2×D4×C1112yes—
526C22×C4C2×D4×C1112yes—
527C22×C4C2×D4×C1114yes—
528C22×C4C2×D4×C1114yes—
529C22×C4C2×D4×C1114yes—
530C22×C4C24×C1112yes—
531C22×C4C24×C1112yes—
532C22×C4C24×C1112yes—
533C22×C4C24×C1111yescharacteristic
534Q16—48no—
535SD16—48no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—48no—
539C2×C8C24×C1114yes—
540C2×C8C24×C1114yes—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4C24×C1114yes—
550C4⋊C4C24×C1112yes—
551C4⋊C4C24×C1112yes—
552C22⋊C4—28no—
553C22⋊C4—28no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C42—24no—
560C11C2×#319011yescharacteristic, direct product factor, Sylow
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—28no—
567C23—22no—
568C23—28no—
569C23—22no—
570C23—22no—
571C23—44no—
572C23—416no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23C11×#13514yes—
577C23C11×#13714yes—
578C23C22×D4×C1112yes—
579C23C22×D4×C1112yes—
580C23C22×D4×C1112yes—
581C23C22×D4×C1111yescharacteristic
582Q8—24no—
583Q8—24no—
584Q8—24no—
585Q8—48no—
586Q8—44no—
587Q8—42no—
588D4—24no—
589D4—48no—
590D4—48no—
591D4—48no—
592D4—42no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—48no—
612C2×C4—42no—
613C2×C4—44no—
614C2×C4—48no—
615C2×C4—44no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4C22×D4×C1112yes—
619C2×C4C22×D4×C1112yes—
620C2×C4C22×D4×C1112yes—
621C2×C4C22×D4×C1111yescharacteristic
622C2×C4C11×H(5,𝔽2)14yes—
623C2×C4C25×C1111yescharacteristic
624C8—24no—
625C8—24no—
626C22—22no—
627C22—22no—
628C22—28no—
629C22—28no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—416no—
636C22—44no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—84no—
641C22C11×#53412yes—
642C22C2×C11×#13514yes—
643C22C2×C11×#13512yes—
644C22C2×C11×#13714yes—
645C22C2×C11×#13712yes—
646C22C23×D4×C1111yescharacteristic
647C4—22no—
648C4—22no—
649C4—22no—
650C4—42no—
651C4—44no—
652C4—44no—
653C4—42no—
654C4—42no—
655C4C11×#53412yes—
656C4C2×C11×H(5,𝔽2)12yes—
657C2—24no—
658C2—24no—
659C2—42no—
660C2—82no—
661C2C11×#319014yesdirect product factor
662C2C2×C11×#53411yescharacteristic
663C2C22×C11×#13511yescharacteristic
664C2C22×C11×#13711yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC2×C4C25×C11
prime radicalC2×C11×#525C2
LCSG ▷ C2×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. C22×C11×C22⋊Q8C2semidirect
3. C11×#3190C2direct (N × H)
4. C2×C11×#485C2semidirect
5. C2×C11×#483C2semidirect
6. C2×C11×#480C2semidirect
7. C2×C11×#467C2semidirect
8. C2×C11×#465C2semidirect
9. C2×C11×#452C2semidirect
10. C2×C11×#451C2semidirect
11. C2×C11×#448C2semidirect
12. C22×C11×C22⋊C8C2semidirect
16. C22×C11×Q16C22semidirect
17. C22×C11×SD16C22semidirect
29. C2×C11×C22⋊Q8C22semidirect
39. C11×#485C22semidirect
40. C11×#483C22semidirect
41. C11×#480C22semidirect
42. C11×#467C22semidirect
43. C11×#465C22semidirect
44. C11×#452C22semidirect
45. C11×#451C22semidirect
46. C11×#448C22semidirect
47. C2×C11×#107C22semidirect
48. C2×C11×#106C22semidirect
49. C2×C11×#103C22semidirect
50. C2×C11×#103C22semidirect
51. C2×C11×#103C22semidirect
52. C2×C11×#102C22semidirect
56. C2×C11×C22⋊C8C22semidirect
84. C2×C11×Q16C23semidirect
86. C2×C11×SD16C23semidirect
131. C11×#107C23semidirect
132. C11×#106C23semidirect
133. C11×#103C23semidirect
134. C11×#103C23semidirect
135. C11×#103C23semidirect
136. C11×#102C23semidirect
140. C2×#3190C11direct (N × H)
230. C22×C22⋊Q8C2×C11semidirect
231. #3190C2×C11direct (N × H)
232. C2×#485C2×C11semidirect
233. C2×#483C2×C11semidirect
234. C2×#480C2×C11semidirect
235. C2×#467C2×C11semidirect
236. C2×#465C2×C11semidirect
237. C2×#452C2×C11semidirect
238. C2×#451C2×C11semidirect
239. C2×#448C2×C11semidirect
240. C22×C22⋊C8C2×C11semidirect
309. C22×Q16C22×C11semidirect
310. C22×SD16C22×C11semidirect
322. C2×C22⋊Q8C22×C11semidirect
332. #485C22×C11semidirect
333. #483C22×C11semidirect
334. #480C22×C11semidirect
335. #467C22×C11semidirect
336. #465C22×C11semidirect
337. #452C22×C11semidirect
338. #451C22×C11semidirect
339. #448C22×C11semidirect
340. C2×#107C22×C11semidirect
341. C2×#106C22×C11semidirect
342. C2×#103C22×C11semidirect
343. C2×#103C22×C11semidirect
344. C2×#103C22×C11semidirect
345. C2×#102C22×C11semidirect
349. C2×C22⋊C8C22×C11semidirect
408. C2×Q16C23×C11semidirect
410. C2×SD16C23×C11semidirect
455. #107C23×C11semidirect
456. #106C23×C11semidirect
457. #103C23×C11semidirect
458. #103C23×C11semidirect
459. #103C23×C11semidirect
460. #102C23×C11semidirect
468. C2×C11#3190direct (N × H)
560. C11C2×#3190direct (N × H)
661. C2C11×#3190direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5252
C22×C11×C22⋊Q82
C11×#31902
C2×C11×#4852
C2×C11×#4832
C2×C11×#4802
C2×C11×#4672
C2×C11×#4652
C2×C11×#4522
C2×C11×#4512
C2×C11×#4482
C22×C11×C22⋊C82
C2×#319011