Finite Group Databasebeta

← C11×#23855 #14601048

Subgroups — C11×#23855 #14601048

Order 2816.

1930 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C11×SD16C211yesmaximal, characteristic, complemented
2C2×D4×Q8×C11C211yesmaximal, characteristic, complemented
3C2×C11×#448C212yesmaximal, complemented
4C2×C11×#450C211yesmaximal, characteristic, complemented
5C11×#2408C211yesmaximal, characteristic
6C11×#2013C212yesmaximal, complemented
7C11×#2000C212yesmaximal, complemented
8C11×#1892C211yesmaximal, characteristic, complemented
9C11×#1880C212yesmaximal, complemented
10C11×#1869C211yesmaximal, characteristic, complemented
11C11×#1787C211yesmaximal, characteristic, complemented
12C23×Q8×C11C2211yescharacteristic
13C23×Q8×C11C2211yescharacteristic, complemented
14C23×D4×C11C2211yescharacteristic
15C22×C11×SD16—24no—
16C22×C11×SD16—28no—
17C22×C11×SD16C2212yes—
18C22×C11×SD16C2212yes—
19C22×C11×SD16C2212yes—
20C23×C8×C11C2211yescharacteristic
21D4×Q8×C11—24no—
22D4×Q8×C11—24no—
23C2×C11×C4⋊Q8—21no—
24C2×C11×C4⋊Q8C2211yescharacteristic, complemented
25C2×C11×C22⋊Q8—21no—
26C2×C11×C22⋊Q8—21no—
27C2×C11×C22⋊Q8C2211yescharacteristic
28C2×C11×C22⋊Q8C2211yescharacteristic, complemented
29C2×C11×#121C2212yes—
30C2×C11×#120—21no—
31C2×C4×Q8×C11C2211yescharacteristic, complemented
32C2×C4×D4×C11—21no—
33C2×C4×D4×C11C2211yescharacteristic
34C11×#450—24no—
35C11×#448—28no—
36C2×C11×#103C2212yescomplemented
37C2×C11×#103C2212yescomplemented
38C2×C11×#103C2212yescomplemented
39C2×C11×#102C2212yes—
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—
50C22×Q8×C11—22no—
51C22×Q8×C11—22no—
52C22×Q8×C11—21no—
53C22×Q8×C11—21no—
54C22×Q8×C11—22no—
55C22×Q8×C11—24no—
56C22×Q8×C11—24no—
57C22×Q8×C11—42no—
58C22×Q8×C11—42no—
59C22×Q8×C11D414yescomplemented
60C22×Q8×C11C2311yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11—24no—
64C22×D4×C11—22no—
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—21no—
68C22×D4×C11—42no—
69C22×D4×C11D411yescharacteristic
70C22×D4×C11C2312yes—
71C23×C4×C11—21no—
72C23×C4×C11—21no—
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C2×C11×SD16—232no—
76C2×C11×SD16—24no—
77C2×C11×SD16—24no—
78C2×C11×SD16—24no—
79C2×C11×SD16—24no—
80C2×C11×SD16—24no—
81C2×C11×SD16—24no—
82C2×C11×SD16—24no—
83C2×C11×SD16—42no—
84C2×C11×SD16D418yescomplemented
85C22×C8×C11—22no—
86C22×C8×C11—24no—
87C22×C8×C11C2312yes—
88C22×C8×C11C2312yes—
89C11×C4⋊Q8—28no—
90C11×C4⋊Q8—22no—
91C11×C4⋊Q8—22no—
92C11×C22⋊Q8—28no—
93C11×C22⋊Q8—28no—
94C11×C22⋊Q8—22no—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—22no—
97C11×C22⋊Q8D414yescomplemented
98C11×#121—24no—
99C11×#121—42no—
100C11×#120—44no—
101C4×Q8×C11—22no—
102C4×Q8×C11—22no—
103C4×D4×C11—28no—
104C4×D4×C11—22no—
105C4×D4×C11—22no—
106C2×C11×C4⋊C4—21no—
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—22no—
118C2×C11×C22⋊C4—22no—
119C2×C11×C22⋊C4—22no—
120C2×C11×C22⋊C4D411yescharacteristic
121C2×C11×C22⋊C4D411yescharacteristic
122C2×C42×C11—21no—
123C2×C42×C11C2311yescharacteristic
124C11×#103—24no—
125C11×#103—24no—
126C11×#103—42no—
127C11×#102—24no—
128C11×C22⋊C8—22no—
129C11×C22⋊C8—24no—
130C11×#95—21no—
131#23855C1111yesmaximal, characteristic, direct product factor, Sylow
132C24×C11—22no—
133C24×C11—44no—
134C24×C11—42no—
135C24×C11—42no—
136C24×C11—42no—
137C24×C11—82no—
138C24×C11C2×D411yescharacteristic
139C24×C11C2×D411yescharacteristic
140C2×Q8×C11—24no—
141C2×Q8×C11—24no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—22no—
146C2×Q8×C11—28no—
147C2×Q8×C11—22no—
148C2×Q8×C11—22no—
149C2×Q8×C11—22no—
150C2×Q8×C11—22no—
151C2×Q8×C11—44no—
152C2×Q8×C11—44no—
153C2×Q8×C11—44no—
154C2×Q8×C11—48no—
155C2×Q8×C11—48no—
156C2×Q8×C11—44no—
157C2×Q8×C11—44no—
158C2×Q8×C11C2×D412yes—
159C2×Q8×C11C2×D412yes—
160C2×Q8×C11C2×D414yes—
161C2×Q8×C11C2×D412yes—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—28no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—22no—
168C2×D4×C11—22no—
169C2×D4×C11—22no—
170C2×D4×C11—48no—
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×C11SD1614yescomplemented
178C2×D4×C11C2×D414yes—
179C22×C4×C11—21no—
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—22no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—22no—
191C22×C4×C11—22no—
192C22×C4×C11—44no—
193C22×C4×C11—44no—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D412yes—
198C22×C4×C11C2×D412yes—
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2411yescharacteristic
201C11×SD16—216no—
202C11×SD16—216no—
203C11×SD16—48no—
204C2×C8×C11—28no—
205C2×C8×C11—22no—
206C2×C8×C11—22no—
207C2×C8×C11—22no—
208C2×C8×C11—22no—
209C2×C8×C11—22no—
210C2×C8×C11C2×D414yes—
211C11×C4⋊C4—24no—
212C11×C4⋊C4—24no—
213C11×C4⋊C4—24no—
214C11×C4⋊C4—24no—
215C11×C4⋊C4—24no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4C2×D412yes—
221C11×C22⋊C4—24no—
222C11×C22⋊C4—24no—
223C11×C22⋊C4—22no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—44no—
226C11×C22⋊C4—42no—
227C11×C22⋊C4—44no—
228C11×C22⋊C4—82no—
229C42×C11—24no—
230C42×C11—21no—
231C42×C11—21no—
232C23×SD16C2×C1111yescharacteristic, complemented
233C2×D4×Q8C2×C1111yescharacteristic, complemented
234C2×#448C2×C1112yescomplemented
235C2×#450C2×C1111yescharacteristic, complemented
236#2408C2×C1111yescharacteristic
237#2013C2×C1112yescomplemented
238#2000C2×C1112yescomplemented
239#1892C2×C1111yescharacteristic, complemented
240#1880C2×C1112yescomplemented
241#1869C2×C1111yescharacteristic, complemented
242#1787C2×C1111yescharacteristic, complemented
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—21no—
246C23×C11—22no—
247C23×C11—21no—
248C23×C11—22no—
249C23×C11—24no—
250C23×C11—48no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11—42no—
257C23×C11—88no—
258C23×C11—88no—
259C23×C11—84no—
260C23×C11—84no—
261C23×C11#12012yes—
262C23×C11C2×SD1612yes—
263C23×C11C2×SD1612yescomplemented
264C23×C11#13712yes—
265C23×C11C22×D411yescharacteristic
266Q8×C11—22no—
267Q8×C11—24no—
268Q8×C11—22no—
269Q8×C11—22no—
270Q8×C11—24no—
271Q8×C11—48no—
272Q8×C11—48no—
273Q8×C11—41no—
274Q8×C11—41no—
275Q8×C11—42no—
276Q8×C11#12014yescomplemented
277D4×C11—28no—
278D4×C11—24no—
279D4×C11—24no—
280D4×C11—48no—
281D4×C11—42no—
282D4×C11—42no—
283D4×C11—88no—
284C2×C4×C11—21no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—21no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—24no—
292C2×C4×C11—21no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—21no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—48no—
300C2×C4×C11—48no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—42no—
309C2×C4×C11—42no—
310C2×C4×C11#12012yes—
311C2×C4×C11C2×SD1612yescomplemented
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C22×D412yes—
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11H(5,𝔽2)12yes—
316C8×C11—24no—
317C8×C11—42no—
318C23×Q8C22×C1111yescharacteristic
319C23×Q8C22×C1111yescharacteristic, complemented
320C23×D4C22×C1111yescharacteristic
321C22×SD16—24no—
322C22×SD16—28no—
323C22×SD16C22×C1112yes—
324C22×SD16C22×C1112yes—
325C22×SD16C22×C1112yes—
326C23×C8C22×C1111yescharacteristic
327D4×Q8—24no—
328D4×Q8—24no—
329C2×C4⋊Q8—21no—
330C2×C4⋊Q8C22×C1111yescharacteristic, complemented
331C2×C22⋊Q8—21no—
332C2×C22⋊Q8—21no—
333C2×C22⋊Q8C22×C1111yescharacteristic
334C2×C22⋊Q8C22×C1111yescharacteristic, complemented
335C2×#121C22×C1112yes—
336C2×#120—21no—
337C2×C4×Q8C22×C1111yescharacteristic, complemented
338C2×C4×D4—21no—
339C2×C4×D4C22×C1111yescharacteristic
340#450—24no—
341#448—28no—
342C2×#103C22×C1112yescomplemented
343C2×#103C22×C1112yescomplemented
344C2×#103C22×C1112yescomplemented
345C2×#102C22×C1112yes—
346C2×C22⋊C8C22×C1111yescharacteristic
347C2×C22⋊C8C22×C1112yescomplemented
348#394—21no—
349#392—21no—
350#390C22×C1112yes—
351#380C22×C1111yescharacteristic
352#379—21no—
353#340C22×C1112yescomplemented
354#336C22×C1112yescomplemented
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—24no—
358C22×C11—24no—
359C22×C11—22no—
360C22×C11—24no—
361C22×C11—41no—
362C22×C11—41no—
363C22×C11—42no—
364C22×C11—44no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—816no—
368C22×C11—82no—
369C22×C11—82no—
370C22×C11—82no—
371C22×C11—82no—
372C22×C11#44814yescomplemented
373C22×C11C2×#12011yescharacteristic
374C22×C11D4212yes—
375C22×C11C22×SD1611yescharacteristic
376C22×C11C2×#13711yescharacteristic
377C22×C11#57712yes—
378C4×C11—22no—
379C4×C11—24no—
380C4×C11—22no—
381C4×C11—41no—
382C4×C11—42no—
383C4×C11—42no—
384C4×C11—41no—
385C4×C11—42no—
386C4×C11—82no—
387C4×C11C2×#12011yescharacteristic
388C4×C11#53411yescharacteristic
389C4×C11D4212yes—
390C25—21no—
391C22×Q8—22no—
392C22×Q8—22no—
393C22×Q8—21no—
394C22×Q8—21no—
395C22×Q8—22no—
396C22×Q8—24no—
397C22×Q8—24no—
398C22×Q8—42no—
399C22×Q8—42no—
400C22×Q8D4×C1114yescomplemented
401C22×Q8C23×C1111yescharacteristic
402C22×Q8C23×C1111yescharacteristic
403C22×Q8C23×C1111yescharacteristic
404C22×D4—24no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—21no—
409C22×D4—42no—
410C22×D4D4×C1111yescharacteristic
411C22×D4C23×C1112yes—
412C23×C4—21no—
413C23×C4—21no—
414C23×C4C23×C1111yescharacteristic
415C23×C4C23×C1111yescharacteristic
416C2×SD16—232no—
417C2×SD16—24no—
418C2×SD16—24no—
419C2×SD16—24no—
420C2×SD16—24no—
421C2×SD16—24no—
422C2×SD16—24no—
423C2×SD16—24no—
424C2×SD16—42no—
425C2×SD16D4×C1118yescomplemented
426C22×C8—22no—
427C22×C8—24no—
428C22×C8C23×C1112yes—
429C22×C8C23×C1112yes—
430C4⋊Q8—28no—
431C4⋊Q8—22no—
432C4⋊Q8—22no—
433C22⋊Q8—28no—
434C22⋊Q8—28no—
435C22⋊Q8—22no—
436C22⋊Q8—22no—
437C22⋊Q8—22no—
438C22⋊Q8D4×C1114yescomplemented
439#121—24no—
440#121—42no—
441#120—44no—
442C4×Q8—22no—
443C4×Q8—22no—
444C4×D4—28no—
445C4×D4—22no—
446C4×D4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4D4×C1111yescharacteristic
453C2×C4⋊C4C23×C1112yes—
454C2×C4⋊C4C23×C1111yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—22no—
461C2×C22⋊C4D4×C1111yescharacteristic
462C2×C22⋊C4D4×C1111yescharacteristic
463C2×C42—21no—
464C2×C42C23×C1111yescharacteristic
465#103—24no—
466#103—24no—
467#103—42no—
468#102—24no—
469C22⋊C8—22no—
470C22⋊C8—24no—
471#95—21no—
472C2×C11—24no—
473C2×C11—42no—
474C2×C11—84no—
475C2×C11#240311yescharacteristic
476C2×C11C2×#44811yescharacteristic
477C2×C11#301011yescharacteristic
478C2×C11#326612yes—
479C2×C11D4×SD1612yes—
480C24—22no—
481C24—44no—
482C24—42no—
483C24—42no—
484C24—42no—
485C24—82no—
486C24C2×D4×C1111yescharacteristic
487C24C2×D4×C1111yescharacteristic
488C2×Q8—24no—
489C2×Q8—24no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—22no—
494C2×Q8—28no—
495C2×Q8—22no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—44no—
500C2×Q8—44no—
501C2×Q8—44no—
502C2×Q8—48no—
503C2×Q8—48no—
504C2×Q8—44no—
505C2×Q8—44no—
506C2×Q8C2×D4×C1112yes—
507C2×Q8C2×D4×C1112yes—
508C2×Q8C2×D4×C1114yes—
509C2×Q8C2×D4×C1112yes—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—28no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—48no—
519C2×D4—44no—
520C2×D4—44no—
521C2×D4—44no—
522C2×D4—44no—
523C2×D4—42no—
524C2×D4—82no—
525C2×D4C11×SD1614yescomplemented
526C2×D4C2×D4×C1114yes—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4C2×D4×C1111yescharacteristic
543C22×C4C2×D4×C1111yescharacteristic
544C22×C4C2×D4×C1111yescharacteristic
545C22×C4C2×D4×C1112yes—
546C22×C4C2×D4×C1112yes—
547C22×C4C2×D4×C1111yescharacteristic
548C22×C4C24×C1111yescharacteristic
549SD16—216no—
550SD16—216no—
551SD16—48no—
552C2×C8—28no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8C2×D4×C1114yes—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4C2×D4×C1112yes—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—44no—
574C22⋊C4—42no—
575C22⋊C4—44no—
576C22⋊C4—82no—
577C42—24no—
578C42—21no—
579C42—21no—
580C11#2385511yescharacteristic, direct product factor, Sylow
581C23—22no—
582C23—22no—
583C23—21no—
584C23—22no—
585C23—21no—
586C23—22no—
587C23—24no—
588C23—48no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—88no—
596C23—88no—
597C23—84no—
598C23—84no—
599C23C11×#12012yes—
600C23C2×C11×SD1612yes—
601C23C2×C11×SD1612yescomplemented
602C23C11×#13712yes—
603C23C22×D4×C1111yescharacteristic
604Q8—22no—
605Q8—24no—
606Q8—22no—
607Q8—22no—
608Q8—24no—
609Q8—48no—
610Q8—48no—
611Q8—41no—
612Q8—41no—
613Q8—42no—
614Q8C11×#12014yescomplemented
615D4—28no—
616D4—24no—
617D4—24no—
618D4—48no—
619D4—42no—
620D4—42no—
621D4—88no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—48no—
638C2×C4—48no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4C11×#12012yes—
649C2×C4C2×C11×SD1612yescomplemented
650C2×C4C22×D4×C1111yescharacteristic
651C2×C4C22×D4×C1112yes—
652C2×C4C22×D4×C1111yescharacteristic
653C2×C4C11×H(5,𝔽2)12yes—
654C8—24no—
655C8—42no—
656C22—22no—
657C22—22no—
658C22—24no—
659C22—24no—
660C22—22no—
661C22—24no—
662C22—41no—
663C22—41no—
664C22—42no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—816no—
669C22—82no—
670C22—82no—
671C22—82no—
672C22—82no—
673C22C11×#44814yescomplemented
674C22C2×C11×#12011yescharacteristic
675C22D42×C1112yes—
676C22C22×C11×SD1611yescharacteristic
677C22C2×C11×#13711yescharacteristic
678C22C11×#57712yes—
679C4—22no—
680C4—24no—
681C4—22no—
682C4—41no—
683C4—42no—
684C4—42no—
685C4—41no—
686C4—42no—
687C4—82no—
688C4C2×C11×#12011yescharacteristic
689C4C11×#53411yescharacteristic
690C4D42×C1112yes—
691C2—24no—
692C2—42no—
693C2—84no—
694C2C11×#240311yescharacteristic
695C2C2×C11×#44811yescharacteristic
696C2C11×#301011yescharacteristic
697C2C11×#326612yes—
698C2D4×C11×SD1612yes—
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#2408C2
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. C23×C11×SD16C2semidirect
2. C2×D4×Q8×C11C2semidirect
3. C2×C11×#448C2semidirect
4. C2×C11×#450C2semidirect
6. C11×#2013C2semidirect
7. C11×#2000C2semidirect
8. C11×#1892C2semidirect
9. C11×#1880C2semidirect
10. C11×#1869C2semidirect
11. C11×#1787C2semidirect
13. C23×Q8×C11C22semidirect
24. C2×C11×C4⋊Q8C22semidirect
28. C2×C11×C22⋊Q8C22semidirect
31. C2×C4×Q8×C11C22semidirect
36. C2×C11×#103C22semidirect
37. C2×C11×#103C22semidirect
38. C2×C11×#103C22semidirect
41. C2×C11×C22⋊C8C22semidirect
47. C11×#340C22semidirect
48. C11×#336C22semidirect
59. C22×Q8×C11D4semidirect
84. C2×C11×SD16D4semidirect
97. C11×C22⋊Q8D4semidirect
131. #23855C11direct (N × H)
177. C2×D4×C11SD16semidirect
232. C23×SD16C2×C11semidirect
233. C2×D4×Q8C2×C11semidirect
234. C2×#448C2×C11semidirect
235. C2×#450C2×C11semidirect
237. #2013C2×C11semidirect
238. #2000C2×C11semidirect
239. #1892C2×C11semidirect
240. #1880C2×C11semidirect
241. #1869C2×C11semidirect
242. #1787C2×C11semidirect
263. C23×C11C2×SD16semidirect
276. Q8×C11#120semidirect
311. C2×C4×C11C2×SD16semidirect
319. C23×Q8C22×C11semidirect
330. C2×C4⋊Q8C22×C11semidirect
334. C2×C22⋊Q8C22×C11semidirect
337. C2×C4×Q8C22×C11semidirect
342. C2×#103C22×C11semidirect
343. C2×#103C22×C11semidirect
344. C2×#103C22×C11semidirect
347. C2×C22⋊C8C22×C11semidirect
353. #340C22×C11semidirect
354. #336C22×C11semidirect
372. C22×C11#448semidirect
400. C22×Q8D4×C11semidirect
425. C2×SD16D4×C11semidirect
438. C22⋊Q8D4×C11semidirect
525. C2×D4C11×SD16semidirect
580. C11#23855direct (N × H)
601. C23C2×C11×SD16semidirect
614. Q8C11×#120semidirect
649. C2×C4C2×C11×SD16semidirect
673. C22C11×#448semidirect

Maximal subgroups

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

subgroupindex
C23×C11×SD162
C2×D4×Q8×C112
C2×C11×#4482
C2×C11×#4502
C11×#24082
C11×#20132
C11×#20002
C11×#18922
C11×#18802
C11×#18692
C11×#17872
#2385511