Finite Group Databasebeta

← C11×#32904 #14610097

Subgroups — C11×#32904 #14610097

Order 2816.

1608 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
1C2×C4×C11×#41C211yesmaximal, characteristic, complemented
2C2×C11×#460C211yesmaximal, characteristic, complemented
3C2×C11×#459C211yesmaximal, characteristic, complemented
4C2×C11×#449C212yesmaximal, complemented
5C11×#2856C211yesmaximal, characteristic, complemented
6C11×#1880C212yesmaximal, complemented
7C11×#1879C212yesmaximal, complemented
8C11×#1875C212yesmaximal, complemented
9C11×#1803C211yesmaximal, characteristic, complemented
10C11×#1802C211yesmaximal, characteristic, complemented
11C11×#1797C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C22×C11×SD16C2212yes—
14C22×C11×D8C2212yes—
15C2×C11×#127C2211yescharacteristic
16C2×C11×#121—21no—
17C2×C11×#121—21no—
18C2×C11×#121C2212yes—
19C4×C11×#41—24no—
20C4×C11×#41—24no—
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×D4×C11—21no—
24C2×C4×D4×C11—21no—
25C2×C4×D4×C11C2211yescharacteristic
26C2×C4×D4×C11C2211yescharacteristic
27C2×C11×#117—21no—
28C2×C11×#117C2211yescharacteristic
29C22×C42×C11—21no—
30C22×C42×C11C2211yescharacteristic
31C11×#460—24no—
32C11×#459—24no—
33C11×#449—28no—
34C2×C11×C4⋊C8C2211yescharacteristic
35C2×C11×C4⋊C8C2211yescharacteristic
36C2×C11×#103C2212yes—
37C2×C11×#102C2212yes—
38C2×C11×#102C2212yes—
39C2×C11×#102C2212yes—
40C2×C11×C22⋊C8C2212yes—
41C11×#390—21no—
42C11×#390—21no—
43C11×#390C2212yes—
44C11×#384C2211yescharacteristic
45C11×#340C2212yes—
46C11×#340C2212yes—
47C11×#336C2212yes—
48C2×C11×#41—22no—
49C2×C11×#41—22no—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41D414yescomplemented
54C22×Q8×C11C2311yescharacteristic
55C22×D4×C11—21no—
56C22×D4×C11—22no—
57C22×D4×C11—21no—
58C22×D4×C11—21no—
59C22×D4×C11C2312yes—
60C22×D4×C11C2311yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11—21no—
63C23×C4×C11—21no—
64C23×C4×C11D411yescharacteristic
65C23×C4×C11D411yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C2×C11×SD16—24no—
68C2×C11×SD16—24no—
69C2×C11×SD16—24no—
70C2×C11×D8—24no—
71C2×C11×D8—24no—
72C2×C11×D8—24no—
73C22×C8×C11C2312yes—
74C22×C8×C11C2312yes—
75C11×#127—22no—
76C11×#127—22no—
77C11×#121—24no—
78C11×#121—24no—
79C11×#121—44no—
80C11×#121—44no—
81C4×Q8×C11—22no—
82C4×Q8×C11—22no—
83C4×Q8×C11—22no—
84C4×Q8×C11D414yescomplemented
85C4×D4×C11—28no—
86C4×D4×C11—28no—
87C4×D4×C11—22no—
88C4×D4×C11—22no—
89C4×D4×C11—22no—
90C4×D4×C11D414yescomplemented
91C11×#117—28no—
92C11×#117—22no—
93C11×#117—22no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—22no—
105C2×C11×C22⋊C4—22no—
106C2×C11×C22⋊C4—22no—
107C2×C42×C11—28no—
108C2×C42×C11—21no—
109C2×C42×C11—21no—
110C2×C42×C11—21no—
111C2×C42×C11—22no—
112C2×C42×C11—22no—
113C2×C42×C11D411yescharacteristic
114C2×C42×C11D411yescharacteristic
115C2×C42×C11C2311yescharacteristic
116C2×C42×C11C2311yescharacteristic
117C11×C4⋊C8—22no—
118C11×C4⋊C8—22no—
119C11×#103—24no—
120C11×#102—24no—
121C11×#102—24no—
122C11×#102—24no—
123C11×C22⋊C8—24no—
124#32904C1111yesmaximal, characteristic, direct product factor, Sylow
125C24×C11—21no—
126C24×C11—22no—
127C24×C11C2×D411yescharacteristic
128C11×#41—28no—
129C11×#41—28no—
130C11×#41—28no—
131C11×#41—28no—
132C2×Q8×C11—21no—
133C2×Q8×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11C2×D412yes—
136C2×Q8×C11C2×D412yes—
137C2×Q8×C11#4112yes—
138C2×D4×C11—24no—
139C2×D4×C11—24no—
140C2×D4×C11—24no—
141C2×D4×C11—21no—
142C2×D4×C11—22no—
143C2×D4×C11—22no—
144C2×D4×C11—22no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—22no—
148C2×D4×C11—22no—
149C2×D4×C11—22no—
150C2×D4×C11—42no—
151C2×D4×C11—42no—
152C2×D4×C11—44no—
153C2×D4×C11—44no—
154C2×D4×C11—44no—
155C2×D4×C11—42no—
156C2×D4×C11—42no—
157C2×D4×C11—42no—
158C2×D4×C11—42no—
159C2×D4×C11C2×D412yes—
160C2×D4×C11C2×D412yes—
161C2×D4×C11#4112yes—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—21no—
165C22×C4×C11—24no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—24no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—22no—
174C22×C4×C11—22no—
175C22×C4×C11—24no—
176C22×C4×C11—22no—
177C22×C4×C11—22no—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—41no—
181C22×C4×C11—42no—
182C22×C4×C11—42no—
183C22×C4×C11—42no—
184C22×C4×C11—42no—
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11#4112yes—
192C22×C4×C11C2411yescharacteristic
193C11×SD16—48no—
194C11×D8—48no—
195C2×C8×C11—22no—
196C2×C8×C11—22no—
197C2×C8×C11—22no—
198C2×C8×C11—22no—
199C2×C8×C11—22no—
200C2×C8×C11—22no—
201C11×C4⋊C4—24no—
202C11×C4⋊C4—24no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—42no—
208C11×C4⋊C4—42no—
209C11×C4⋊C4C2×D412yes—
210C11×C4⋊C4C2×D412yes—
211C11×C22⋊C4—24no—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—24no—
214C11×C22⋊C4—44no—
215C11×C22⋊C4—44no—
216C11×C22⋊C4—44no—
217C42×C11—24no—
218C42×C11—24no—
219C42×C11—22no—
220C42×C11—24no—
221C42×C11—22no—
222C42×C11—21no—
223C42×C11—21no—
224C42×C11C2×D412yes—
225C42×C11C2×D412yes—
226C2×C4×#41C2×C1111yescharacteristic, complemented
227C2×#460C2×C1111yescharacteristic, complemented
228C2×#459C2×C1111yescharacteristic, complemented
229C2×#449C2×C1112yescomplemented
230#2856C2×C1111yescharacteristic, complemented
231#1880C2×C1112yescomplemented
232#1879C2×C1112yescomplemented
233#1875C2×C1112yescomplemented
234#1803C2×C1111yescharacteristic, complemented
235#1802C2×C1111yescharacteristic, complemented
236#1797C2×C1111yescharacteristic, complemented
237C23×C11—21no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—21no—
241C23×C11—22no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—42no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11—42no—
257C23×C11#12112yes—
258C23×C11C22×D411yescharacteristic
259Q8×C11—22no—
260Q8×C11—22no—
261Q8×C11—22no—
262Q8×C11#12114yescomplemented
263D4×C11—216no—
264D4×C11—22no—
265D4×C11—22no—
266D4×C11—22no—
267D4×C11—42no—
268D4×C11—42no—
269D4×C11—42no—
270D4×C11—42no—
271D4×C11—84no—
272D4×C11—88no—
273D4×C11—84no—
274D4×C11#12114yescomplemented
275C2×C4×C11—216no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—21no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—44no—
295C2×C4×C11—48no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—44no—
301C2×C4×C11—48no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11#12012yes—
306C2×C4×C11#12012yes—
307C2×C4×C11#12112yes—
308C2×C4×C11#13512yes—
309C2×C4×C11AGL(1,ℤ/8)12yes—
310C2×C4×C11AGL(1,ℤ/8)12yes—
311C2×C4×C11C22×D411yescharacteristic
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C2×#4111yescharacteristic
315C2×C4×C11C2×#4111yescharacteristic
316C2×C4×C11C2×#4111yescharacteristic
317C8×C11—42no—
318C8×C11—42no—
319C22×#41C22×C1111yescharacteristic
320C22×SD16C22×C1112yes—
321C22×D8C22×C1112yes—
322C2×#127C22×C1111yescharacteristic
323C2×#121—21no—
324C2×#121—21no—
325C2×#121C22×C1112yes—
326C4×#41—24no—
327C4×#41—24no—
328C2×C4×Q8C22×C1111yescharacteristic
329C2×C4×Q8C22×C1111yescharacteristic
330C2×C4×D4—21no—
331C2×C4×D4—21no—
332C2×C4×D4C22×C1111yescharacteristic
333C2×C4×D4C22×C1111yescharacteristic
334C2×#117—21no—
335C2×#117C22×C1111yescharacteristic
336C22×C42—21no—
337C22×C42C22×C1111yescharacteristic
338#460—24no—
339#459—24no—
340#449—28no—
341C2×C4⋊C8C22×C1111yescharacteristic
342C2×C4⋊C8C22×C1111yescharacteristic
343C2×#103C22×C1112yes—
344C2×#102C22×C1112yes—
345C2×#102C22×C1112yes—
346C2×#102C22×C1112yes—
347C2×C22⋊C8C22×C1112yes—
348#390—21no—
349#390—21no—
350#390C22×C1112yes—
351#384C22×C1111yescharacteristic
352#340C22×C1112yes—
353#340C22×C1112yes—
354#336C22×C1112yes—
355C22×C11—22no—
356C22×C11—24no—
357C22×C11—22no—
358C22×C11—22no—
359C22×C11—41no—
360C22×C11—42no—
361C22×C11—41no—
362C22×C11—42no—
363C22×C11—41no—
364C22×C11—42no—
365C22×C11—41no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—82no—
370C22×C11—82no—
371C22×C11—82no—
372C22×C11—82no—
373C22×C11—82no—
374C22×C11—82no—
375C22×C11—82no—
376C22×C11C2×#12011yescharacteristic
377C22×C11C2×#12111yescharacteristic
378C22×C11#52511yescharacteristic
379C22×C11C2×#13511yescharacteristic
380C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
381C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
382C22×C11#57511yescharacteristic
383C4×C11—22no—
384C4×C11—24no—
385C4×C11—22no—
386C4×C11—22no—
387C4×C11—41no—
388C4×C11—42no—
389C4×C11—42no—
390C4×C11—82no—
391C4×C11#44914yescomplemented
392C4×C11C2×#12111yescharacteristic
393C4×C11C2×#12111yescharacteristic
394C4×C11#52511yescharacteristic
395C4×C11#52511yescharacteristic
396C2×#41—22no—
397C2×#41—22no—
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41D4×C1114yescomplemented
402C22×Q8C23×C1111yescharacteristic
403C22×D4—21no—
404C22×D4—22no—
405C22×D4—21no—
406C22×D4—21no—
407C22×D4C23×C1112yes—
408C22×D4C23×C1111yescharacteristic
409C23×C4—21no—
410C23×C4—21no—
411C23×C4—21no—
412C23×C4D4×C1111yescharacteristic
413C23×C4D4×C1111yescharacteristic
414C23×C4C23×C1111yescharacteristic
415C2×SD16—24no—
416C2×SD16—24no—
417C2×SD16—24no—
418C2×D8—24no—
419C2×D8—24no—
420C2×D8—24no—
421C22×C8C23×C1112yes—
422C22×C8C23×C1112yes—
423#127—22no—
424#127—22no—
425#121—24no—
426#121—24no—
427#121—44no—
428#121—44no—
429C4×Q8—22no—
430C4×Q8—22no—
431C4×Q8—22no—
432C4×Q8D4×C1114yescomplemented
433C4×D4—28no—
434C4×D4—28no—
435C4×D4—22no—
436C4×D4—22no—
437C4×D4—22no—
438C4×D4D4×C1114yescomplemented
439#117—28no—
440#117—22no—
441#117—22no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4C23×C1112yes—
447C2×C4⋊C4C23×C1111yescharacteristic
448C2×C4⋊C4C23×C1111yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—22no—
453C2×C22⋊C4—22no—
454C2×C22⋊C4—22no—
455C2×C42—28no—
456C2×C42—21no—
457C2×C42—21no—
458C2×C42—21no—
459C2×C42—22no—
460C2×C42—22no—
461C2×C42D4×C1111yescharacteristic
462C2×C42D4×C1111yescharacteristic
463C2×C42C23×C1111yescharacteristic
464C2×C42C23×C1111yescharacteristic
465C4⋊C8—22no—
466C4⋊C8—22no—
467#103—24no—
468#102—24no—
469#102—24no—
470#102—24no—
471C22⋊C8—24no—
472C2×C11—42no—
473C2×C11—44no—
474C2×C11—162no—
475C2×C11#284711yescharacteristic
476C2×C11C2×#44911yescharacteristic
477C2×C11#300611yescharacteristic
478C2×C11#303511yescharacteristic
479C2×C11#303811yescharacteristic
480C2×C11#310611yescharacteristic
481C2×C11#311511yescharacteristic
482C24—21no—
483C24—22no—
484C24C2×D4×C1111yescharacteristic
485#41—28no—
486#41—28no—
487#41—28no—
488#41—28no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C2×D4×C1112yes—
493C2×Q8C2×D4×C1112yes—
494C2×Q8C11×#4112yes—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—44no—
510C2×D4—44no—
511C2×D4—44no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4C2×D4×C1112yes—
517C2×D4C2×D4×C1112yes—
518C2×D4C11×#4112yes—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—21no—
522C22×C4—24no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—24no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—41no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4C2×D4×C1111yescharacteristic
543C22×C4C2×D4×C1111yescharacteristic
544C22×C4C2×D4×C1111yescharacteristic
545C22×C4C2×D4×C1112yes—
546C22×C4C2×D4×C1111yescharacteristic
547C22×C4C2×D4×C1111yescharacteristic
548C22×C4C11×#4112yes—
549C22×C4C24×C1111yescharacteristic
550SD16—48no—
551D8—48no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4C2×D4×C1112yes—
567C4⋊C4C2×D4×C1112yes—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C42—24no—
575C42—24no—
576C42—22no—
577C42—24no—
578C42—22no—
579C42—21no—
580C42—21no—
581C42C2×D4×C1112yes—
582C42C2×D4×C1112yes—
583C11#3290411yescharacteristic, direct product factor, Sylow
584C23—21no—
585C23—22no—
586C23—22no—
587C23—21no—
588C23—22no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23C11×#12112yes—
605C23C22×D4×C1111yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—22no—
609Q8C11×#12114yescomplemented
610D4—216no—
611D4—22no—
612D4—22no—
613D4—22no—
614D4—42no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—84no—
619D4—88no—
620D4—84no—
621D4C11×#12114yescomplemented
622C2×C4—216no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—44no—
642C2×C4—48no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—44no—
648C2×C4—48no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4C11×#12012yes—
653C2×C4C11×#12012yes—
654C2×C4C11×#12112yes—
655C2×C4C11×#13512yes—
656C2×C4C11×AGL(1,ℤ/8)12yes—
657C2×C4C11×AGL(1,ℤ/8)12yes—
658C2×C4C22×D4×C1111yescharacteristic
659C2×C4C22×D4×C1111yescharacteristic
660C2×C4C22×D4×C1111yescharacteristic
661C2×C4C2×C11×#4111yescharacteristic
662C2×C4C2×C11×#4111yescharacteristic
663C2×C4C2×C11×#4111yescharacteristic
664C8—42no—
665C8—42no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—24no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—42no—
680C22—82no—
681C22—82no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22—82no—
687C22C2×C11×#12011yescharacteristic
688C22C2×C11×#12111yescharacteristic
689C22C11×#52511yescharacteristic
690C22C2×C11×#13511yescharacteristic
691C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
692C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
693C22C11×#57511yescharacteristic
694C4—22no—
695C4—22no—
696C4—22no—
697C4—24no—
698C4—41no—
699C4—42no—
700C4—42no—
701C4—82no—
702C4C11×#44914yescomplemented
703C4C2×C11×#12111yescharacteristic
704C4C2×C11×#12111yescharacteristic
705C4C11×#52511yescharacteristic
706C4C11×#52511yescharacteristic
707C2—42no—
708C2—44no—
709C2—162no—
710C2C11×#284711yescharacteristic
711C2C2×C11×#44911yescharacteristic
712C2C11×#300611yescharacteristic
713C2C11×#303511yescharacteristic
714C2C11×#303811yescharacteristic
715C2C11×#310611yescharacteristic
716C2C11×#311511yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C4×C11×#41C2semidirect
2. C2×C11×#460C2semidirect
3. C2×C11×#459C2semidirect
4. C2×C11×#449C2semidirect
5. C11×#2856C2semidirect
6. C11×#1880C2semidirect
7. C11×#1879C2semidirect
8. C11×#1875C2semidirect
9. C11×#1803C2semidirect
10. C11×#1802C2semidirect
11. C11×#1797C2semidirect
53. C2×C11×#41D4semidirect
84. C4×Q8×C11D4semidirect
90. C4×D4×C11D4semidirect
124. #32904C11direct (N × H)
226. C2×C4×#41C2×C11semidirect
227. C2×#460C2×C11semidirect
228. C2×#459C2×C11semidirect
229. C2×#449C2×C11semidirect
230. #2856C2×C11semidirect
231. #1880C2×C11semidirect
232. #1879C2×C11semidirect
233. #1875C2×C11semidirect
234. #1803C2×C11semidirect
235. #1802C2×C11semidirect
236. #1797C2×C11semidirect
262. Q8×C11#121semidirect
274. D4×C11#121semidirect
391. C4×C11#449semidirect
401. C2×#41D4×C11semidirect
432. C4×Q8D4×C11semidirect
438. C4×D4D4×C11semidirect
583. C11#32904direct (N × H)
609. Q8C11×#121semidirect
621. D4C11×#121semidirect
702. C4C11×#449semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C11×#412
C2×C11×#4602
C2×C11×#4592
C2×C11×#4492
C11×#28562
C11×#18802
C11×#18792
C11×#18752
C11×#18032
C11×#18022
C11×#17972
#3290411