Finite Group Databasebeta

← #14719860

Subgroups — #14719860

Order 2816.

1730 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66983C211yesmaximal, characteristic
2C2×#10622820C211yesmaximal, characteristic, complemented
3#13066977C214yesmaximal, complemented
4#13066975C214yesmaximal, complemented
5#13066942C214yesmaximal, complemented
6C2×C11×#407C211yesmaximal, characteristic, complemented
7C24×C4×C11C2211yescharacteristic
8C23×C22⋊D11C412yes—
9C23×D44C411yescharacteristic
10C22×C11×M16—21no—
11C2×#66983—21no—
12C2×#66983—21no—
13C2×#66983—21no—
14C2×#66983—21no—
15C2×#66983—21no—
16C2×#66983—21no—
17C2×#66983—21no—
18C2×#66983—21no—
19C2×#66983C412yes—
20C2×#66983C412yes—
21C2×#66983C2212yes—
22C2×#66983C2212yes—
23C22×(C2×D11)⋊C4C2212yes—
24C22×C4⋊Dic11C411yescharacteristic
25C22×#4318—21no—
26C11×#407—21no—
27C11×#407—21no—
28C11×#407C2212yes—
29C11×#407C2212yescomplemented
30C2×C11×C22⋊C8—21no—
31C2×C11×C22⋊C8C2212yescomplemented
32#10622820—21no—
33#10622820—21no—
34#10622820C2212yes—
35#10622820C2212yescomplemented
36C2×C22⋊(C11⋊C8)—21no—
37C2×C22⋊(C11⋊C8)C2212yescomplemented
38#10622106C22116yescomplemented
39C25×C11C2×C411yescharacteristic
40C24×D11C2×C412yes—
41C23×C4×C11—44no—
42C23×C4×C11C2×C411yescharacteristic
43C23×C4×C11C2×C411yescharacteristic
44C23×C4×C11C2×C411yescharacteristic
45C23×C4×C11D411yescharacteristic
46C23×C4×C11D411yescharacteristic
47C23×C4×C11D411yescharacteristic
48C23×C4×C11D411yescharacteristic
49C23×C4×C11D411yescharacteristic
50C23×C4×C11D411yescharacteristic
51C23×C4×C11D411yescharacteristic
52C23×C4×C11D411yescharacteristic
53C23×C4×C11C2311yescharacteristic
54C23×C4×C11C2311yescharacteristic
55C23×C4×C11C2311yescharacteristic
56C22×C22⋊D11—22no—
57C22×C22⋊D11—22no—
58C22×C22⋊D11—22no—
59C22×C22⋊D11—22no—
60C22×C22⋊D11—48no—
61C22×C22⋊D11C2×C414yes—
62C22×C22⋊D11C2×C414yes—
63C23×Dic11C2×C412yes—
64C22×D44—21no—
65C22×D44—21no—
66C22×D44—21no—
67C22×D44—21no—
68C22×D44—44no—
69C22×D44C2×C412yes—
70C22×D44C2×C412yes—
71C2×C11×M16—22no—
72C2×C11×M16—22no—
73C2×C11×M16—44no—
74C22×C8×C11—22no—
75#66983—22no—
76#66983—22no—
77#66983—22no—
78#66983—22no—
79#66983—22no—
80#66983—22no—
81#66983—22no—
82#66983—22no—
83#66983—22no—
84#66983—22no—
85#66983—22no—
86#66983—22no—
87#66983—22no—
88#66983—22no—
89#66983—22no—
90#66983—22no—
91C2×(C2×D11)⋊C4—22no—
92C2×(C2×D11)⋊C4—22no—
93C2×(C2×D11)⋊C4—22no—
94C2×(C2×D11)⋊C4—22no—
95C2×(C2×D11)⋊C4C2×C414yes—
96C2×(C2×D11)⋊C4C2314yes—
97C2×C4⋊Dic11—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11C2×C412yes—
102C2×C4⋊Dic11C2×C412yes—
103C2×#4318—22no—
104C2×#4318—22no—
105C2×#4318—44no—
106C22×C11⋊C8—22no—
107C11×C22⋊C8—22no—
108C11×C22⋊C8—22no—
109C11×C22⋊C8—22no—
110C11×C22⋊C8C2314yes—
111C22⋊(C11⋊C8)—22no—
112C22⋊(C11⋊C8)—22no—
113C22⋊(C11⋊C8)—22no—
114C22⋊(C11⋊C8)C2314yes—
115#17396—111nomaximal, Sylow
116C24×C11—24no—
117C24×C11—42no—
118C24×C11—42no—
119C24×C11C22⋊C411yescharacteristic
120C24×C11C22⋊C411yescharacteristic
121C24×C11C22⋊C411yescharacteristic
122C24×C11C22⋊C411yescharacteristic
123C24×C11C22×C411yescharacteristic
124C24×C11C22×C411yescharacteristic
125C24×C11C22×C411yescharacteristic
126C23×D11—22no—
127C23×D11—22no—
128C23×D11—44no—
129C23×D11—44no—
130C23×D11—44no—
131C23×D11C22×C414yes—
132C22×C4×C11—24no—
133C22×C4×C11—24no—
134C22×C4×C11—24no—
135C22×C4×C11—42no—
136C22×C4×C11—42no—
137C22×C4×C11—42no—
138C22×C4×C11—42no—
139C22×C4×C11—42no—
140C22×C4×C11—42no—
141C22×C4×C11—42no—
142C22×C4×C11—42no—
143C22×C4×C11—42no—
144C22×C4×C11—42no—
145C22×C4×C11—42no—
146C22×C4×C11C22⋊C411yescharacteristic
147C22×C4×C11C22⋊C411yescharacteristic
148C22×C4×C11C22⋊C411yescharacteristic
149C22×C4×C11C22⋊C411yescharacteristic
150C22×C4×C11C22⋊C411yescharacteristic
151C22×C4×C11C22⋊C411yescharacteristic
152C22×C4×C11C22⋊C411yescharacteristic
153C22×C4×C11C22⋊C411yescharacteristic
154C22×C4×C11C22⋊C411yescharacteristic
155C22×C4×C11C22⋊C411yescharacteristic
156C22×C4×C11C22⋊C411yescharacteristic
157C22×C4×C11C22⋊C411yescharacteristic
158C22×C4×C11C22×C411yescharacteristic
159C22×C4×C11C22×C411yescharacteristic
160C22×C4×C11C22×C411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2411yescharacteristic
174C2×C22⋊D11—24no—
175C2×C22⋊D11—24no—
176C2×C22⋊D11—24no—
177C2×C22⋊D11—24no—
178C2×C22⋊D11—48no—
179C2×C22⋊D11—48no—
180C2×C22⋊D11—48no—
181C2×C22⋊D11—48no—
182C2×C22⋊D11—48no—
183C2×C22⋊D11—48no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—44no—
187C22×Dic11C22×C414yes—
188C2×D44—22no—
189C2×D44—22no—
190C2×D44—22no—
191C2×D44—22no—
192C2×D44—44no—
193C2×D44—44no—
194C2×D44—44no—
195C2×D44—44no—
196C2×D44—44no—
197C2×D44—44no—
198C11×M16—44no—
199C11×M16—44no—
200C2×C8×C11—24no—
201C2×C8×C11—44no—
202(C2×D11)⋊C4—24no—
203(C2×D11)⋊C4—24no—
204(C2×D11)⋊C4—24no—
205(C2×D11)⋊C4—24no—
206C4⋊Dic11—22no—
207C4⋊Dic11—22no—
208C4⋊Dic11—22no—
209C4⋊Dic11—22no—
210#4318—44no—
211#4318—44no—
212C2×C11⋊C8—24no—
213C2×C11⋊C8—44no—
214C22×#121—111no—
215C2×#407—111no—
216C2×#407D1111yescharacteristic, complemented
217#1471—114no—
218#1471—114no—
219#1462—114no—
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—22no—
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—22no—
232C23×C11—41no—
233C23×C11—41no—
234C23×C11—41no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11—416no—
241C23×C11#10014yes—
242C23×C11C2×C22⋊C411yescharacteristic
243C23×C11C2×C22⋊C411yescharacteristic
244C23×C11C2×C22⋊C411yescharacteristic
245C23×C11C2×C22⋊C411yescharacteristic
246C23×C11C2×C22⋊C411yescharacteristic
247C23×C11C2×C22⋊C411yescharacteristic
248C23×C11C23×C411yescharacteristic
249C22×D11—24no—
250C22×D11—28no—
251C22×D11—44no—
252C22×D11—44no—
253C22×D11—44no—
254C22×D11—44no—
255C22×D11—44no—
256C22×D11—44no—
257C22×D11—44no—
258C22×D11—44no—
259C22×D11—816no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
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#9914yes—
288C2×C4×C11C2×C22⋊C411yescharacteristic
289C2×C4×C11C2×C22⋊C411yescharacteristic
290C2×C4×C11C2×C22⋊C411yescharacteristic
291C2×C4×C11C2×C22⋊C411yescharacteristic
292C2×C4×C11C2×C22⋊C411yescharacteristic
293C2×C4×C11C2×C22⋊C411yescharacteristic
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C22⋊D11—48no—
297C22⋊D11—48no—
298C22⋊D11—48no—
299C22⋊D11—48no—
300C2×Dic11—24no—
301C2×Dic11—44no—
302C2×Dic11—44no—
303C2×Dic11—44no—
304D44—44no—
305D44—44no—
306D44—44no—
307D44—44no—
308C8×C11—44no—
309C11⋊C8—44no—
310C23×D4—112no—
311C23×D4—111no—
312C24×C4C2×D1111yescharacteristic
313C22×M16—21no—
314C22×M16—221no—
315C2×#121—112no—
316C2×#121—112no—
317C2×#121—112no—
318C2×#121—112no—
319C2×#121—221no—
320C2×#121—221no—
321C2×#121—221no—
322C2×#121—221no—
323C2×#121—221no—
324C2×#121—221no—
325C2×#121—221no—
326C2×#121—221no—
327C22×C4⋊C4—111no—
328C22×C22⋊C4—112no—
329#407—21no—
330#407—21no—
331#407—112no—
332#407—112no—
333#407—221no—
334#407—221no—
335#407C2×D1112yes—
336#407C2×D1112yescomplemented
337C2×C22⋊C8—21no—
338C2×C22⋊C8—112no—
339C2×C22⋊C8—221no—
340C2×C22⋊C8C2×D1112yescomplemented
341#323—1116no—
342C22×C11—28no—
343C22×C11—21no—
344C22×C11—21no—
345C22×C11—21no—
346C22×C11—21no—
347C22×C11—21no—
348C22×C11—21no—
349C22×C11—21no—
350C22×C11—21no—
351C22×C11—21no—
352C22×C11—21no—
353C22×C11—21no—
354C22×C11—21no—
355C22×C11—21no—
356C22×C11—21no—
357C22×C11—21no—
358C22×C11—21no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—44no—
363C22×C11—44no—
364C22×C11—44no—
365C22×C11C2×#9912yes—
366C22×C11C2×#10012yes—
367C22×C11C2×#10012yes—
368C22×C11C2×#10012yes—
369C22×C11C22×C22⋊C411yescharacteristic
370C22×C11#56812yes—
371C2×D11—44no—
372C2×D11—44no—
373C2×D11—44no—
374C2×D11—88no—
375C2×D11—88no—
376C2×D11—88no—
377C4×C11—21no—
378C4×C11—21no—
379C4×C11—21no—
380C4×C11—21no—
381C4×C11—21no—
382C4×C11—21no—
383C4×C11C2×#9912yes—
384C4×C11C2×#9912yes—
385Dic11—44no—
386C25—112no—
387C25C4×D1111yescharacteristic
388C22×D4—114no—
389C22×D4—114no—
390C22×D4—112no—
391C22×D4—112no—
392C22×D4—222no—
393C22×D4—222no—
394C22×D4—222no—
395C22×D4—222no—
396C22×D4—221no—
397C22×D4—221no—
398C22×D4—221no—
399C22×D4—221no—
400C22×D4—444no—
401C22×D4—448no—
402C23×C4—44no—
403C23×C4—112no—
404C23×C4C4×D1111yescharacteristic
405C23×C4C4×D1111yescharacteristic
406C23×C4C4×D1111yescharacteristic
407C23×C4D4411yescharacteristic
408C23×C4D4411yescharacteristic
409C23×C4D4411yescharacteristic
410C23×C4D4411yescharacteristic
411C23×C4C22⋊D1111yescharacteristic
412C23×C4C22⋊D1111yescharacteristic
413C23×C4C22⋊D1111yescharacteristic
414C23×C4C22⋊D1111yescharacteristic
415C23×C4C22×D1111yescharacteristic
416C23×C4C22×D1111yescharacteristic
417C23×C4C22×D1111yescharacteristic
418C2×M16—22no—
419C2×M16—22no—
420C2×M16—44no—
421C2×M16—222no—
422C2×M16—222no—
423C2×M16—444no—
424C22×C8—22no—
425C22×C8—222no—
426#121—222no—
427#121—222no—
428#121—222no—
429#121—222no—
430#121—222no—
431#121—222no—
432#121—222no—
433#121—222no—
434#121—222no—
435#121—222no—
436#121—222no—
437#121—222no—
438#121—222no—
439#121—222no—
440#121—222no—
441#121—222no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C22⋊C4—114no—
449C2×C22⋊C4—114no—
450C2×C22⋊C4—222no—
451C2×C22⋊C4—222no—
452C2×C22⋊C4—222no—
453C2×C22⋊C4—222no—
454C22⋊C8—22no—
455C22⋊C8—22no—
456C22⋊C8—22no—
457C22⋊C8—114no—
458C22⋊C8—222no—
459C22⋊C8—222no—
460C22⋊C8—222no—
461C22⋊C8C22×D1114yes—
462C2×C11—22no—
463C2×C11—22no—
464C2×C11—22no—
465C2×C11—22no—
466C2×C11—22no—
467C2×C11—41no—
468C2×C11—41no—
469C2×C11#287911yescharacteristic
470C2×C11C22×#9911yescharacteristic
471C2×C11C22×#10011yescharacteristic
472D11—84no—
473C24—24no—
474C24—42no—
475C24—42no—
476C24—114no—
477C24—222no—
478C24—222no—
479C24—444no—
480C24—444no—
481C24—444no—
482C24(C2×D11)⋊C411yescharacteristic
483C24(C2×D11)⋊C411yescharacteristic
484C24(C2×D11)⋊C411yescharacteristic
485C24(C2×D11)⋊C411yescharacteristic
486C24C2×C4×D1111yescharacteristic
487C24C2×C4×D1111yescharacteristic
488C24C2×C4×D1111yescharacteristic
489C2×D4—224no—
490C2×D4—224no—
491C2×D4—224no—
492C2×D4—224no—
493C2×D4—222no—
494C2×D4—222no—
495C2×D4—222no—
496C2×D4—222no—
497C2×D4—444no—
498C2×D4—444no—
499C2×D4—444no—
500C2×D4—444no—
501C2×D4—444no—
502C2×D4—448no—
503C2×D4—448no—
504C2×D4—448no—
505C2×D4—448no—
506C2×D4—448no—
507C2×D4—448no—
508C2×D4—444no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—114no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—444no—
527C22×C4(C2×D11)⋊C411yescharacteristic
528C22×C4(C2×D11)⋊C411yescharacteristic
529C22×C4(C2×D11)⋊C411yescharacteristic
530C22×C4(C2×D11)⋊C411yescharacteristic
531C22×C4(C2×D11)⋊C411yescharacteristic
532C22×C4(C2×D11)⋊C411yescharacteristic
533C22×C4(C2×D11)⋊C411yescharacteristic
534C22×C4(C2×D11)⋊C411yescharacteristic
535C22×C4(C2×D11)⋊C411yescharacteristic
536C22×C4(C2×D11)⋊C411yescharacteristic
537C22×C4(C2×D11)⋊C411yescharacteristic
538C22×C4(C2×D11)⋊C411yescharacteristic
539C22×C4C2×C4×D1111yescharacteristic
540C22×C4C2×C4×D1111yescharacteristic
541C22×C4C2×C4×D1111yescharacteristic
542C22×C4C2×D4411yescharacteristic
543C22×C4C2×D4411yescharacteristic
544C22×C4C2×D4411yescharacteristic
545C22×C4C2×D4411yescharacteristic
546C22×C4C2×D4411yescharacteristic
547C22×C4C2×D4411yescharacteristic
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1111yescharacteristic
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555M16—44no—
556M16—44no—
557M16—444no—
558M16—444no—
559C2×C8—24no—
560C2×C8—44no—
561C2×C8—224no—
562C2×C8—444no—
563C4⋊C4—222no—
564C4⋊C4—222no—
565C4⋊C4—222no—
566C4⋊C4—222no—
567C22⋊C4—224no—
568C22⋊C4—224no—
569C22⋊C4—224no—
570C22⋊C4—224no—
571C11#1739611yescharacteristic, complemented, Sylow
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—416no—
593C23—224no—
594C23—228no—
595C23—444no—
596C23—444no—
597C23—444no—
598C23—444no—
599C23—444no—
600C23—444no—
601C23—444no—
602C23—444no—
603C23—8816no—
604C23#6688714yes—
605C23C2×(C2×D11)⋊C411yescharacteristic
606C23C2×(C2×D11)⋊C411yescharacteristic
607C23C2×(C2×D11)⋊C411yescharacteristic
608C23C2×(C2×D11)⋊C411yescharacteristic
609C23C2×(C2×D11)⋊C411yescharacteristic
610C23C2×(C2×D11)⋊C411yescharacteristic
611C23C22×C4×D1111yescharacteristic
612D4—444no—
613D4—444no—
614D4—448no—
615D4—448no—
616D4—448no—
617D4—448no—
618D4—444no—
619D4—444no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—224no—
648C2×C4—444no—
649C2×C4—444no—
650C2×C4—444no—
651C2×C4#6687014yes—
652C2×C4C2×(C2×D11)⋊C411yescharacteristic
653C2×C4C2×(C2×D11)⋊C411yescharacteristic
654C2×C4C2×(C2×D11)⋊C411yescharacteristic
655C2×C4C2×(C2×D11)⋊C411yescharacteristic
656C2×C4C2×(C2×D11)⋊C411yescharacteristic
657C2×C4C2×(C2×D11)⋊C411yescharacteristic
658C2×C4C22×D4411yescharacteristic
659C2×C4C22×C22⋊D1111yescharacteristic
660C8—44no—
661C8—444no—
662C22—28no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—444no—
686C22—444no—
687C22—444no—
688C22—888no—
689C22—888no—
690C22—888no—
691C22C2×#6687012yes—
692C22C2×#6688712yes—
693C22C2×#6688712yes—
694C22C2×#6688712yes—
695C22#1062327612yes—
696C22C22×(C2×D11)⋊C411yescharacteristic
697C4—21no—
698C4—21no—
699C4—21no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—444no—
704C4C2×#6687012yes—
705C4C2×#6687012yes—
706C2—22no—
707C2—22no—
708C2—22no—
709C2—22no—
710C2—22no—
711C2—41no—
712C2—41no—
713C2—884no—
714C2#1307706011yescharacteristic
715C2C22×#6687011yescharacteristic
716C2C22×#6688711yescharacteristic
subgroupG/H
centerC22C22×(C2×D11)⋊C4
commutatorC23×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#407C2
socleC22×C11C22×C22⋊C4
prime radicalC22×#66983C2
cosocleC22×C4×C11C24
hypercenterC2×#407D11
hypocenterC11#17396
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C24×C4 ◁ C2×#407

Complements

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

NH ≅ G/Ntype
2. C2×#10622820C2semidirect
3. #13066977C2semidirect
4. #13066975C2semidirect
5. #13066942C2semidirect
6. C2×C11×#407C2semidirect
29. C11×#407C22semidirect
31. C2×C11×C22⋊C8C22semidirect
35. #10622820C22semidirect
37. C2×C22⋊(C11⋊C8)C22semidirect
38. #10622106C22semidirect
216. C2×#407D11semidirect
336. #407C2×D11semidirect
340. C2×C22⋊C8C2×D11semidirect
571. C11#17396semidirect

Maximal subgroups

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

subgroupindex
C22×#669832
C2×#106228202
#130669772
#130669752
#130669422
C2×C11×#4072
#1739611