Finite Group Databasebeta

← C11×#21514 #14598707

Subgroups — C11×#21514 #14598707

Order 2816.

1008 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×#461C211yesmaximal, characteristic
2C2×C11×#440C211yesmaximal, characteristic
3C2×C4×C11×SD16C211yesmaximal, characteristic
4C11×#2327C211yesmaximal, characteristic, complemented
5C11×#2275C211yesmaximal, characteristic
6C11×#1981C211yesmaximal, characteristic, complemented
7C11×#1949C211yesmaximal, characteristic, complemented
8C11×#1928C211yesmaximal, characteristic, complemented
9C11×#1927C211yesmaximal, characteristic, complemented
10C11×#1877C211yesmaximal, characteristic
11C11×#1877C211yesmaximal, characteristic
12C11×#1804C211yesmaximal, characteristic
13C11×#1768C211yesmaximal, characteristic, complemented
14C11×#1763C211yesmaximal, characteristic, complemented
15C4×C11×#103C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C2×C4×D4×C11C2211yescharacteristic
23C2×C4×D4×C11C2211yescharacteristic
24C11×#461C418yescomplemented
25C11×#440—24no—
26C4×C11×SD16—24no—
27C2×C11×#107C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#103C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#102C2211yescharacteristic
39C2×C11×#97C2211yescharacteristic
40C2×C4×C8×C11C2211yescharacteristic
41C11×#391C2211yescharacteristic
42C11×#391C2211yescharacteristic
43C11×#387—21no—
44C11×#387—21no—
45C11×#387—21no—
46C11×#387—21no—
47C11×#382C2211yescharacteristic
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C4⋊C4C2211yescharacteristic
51C4×C11×C22⋊C4—21no—
52C4×C11×C22⋊C4—21no—
53C4×C11×C22⋊C4—21no—
54C11×#376C2211yescharacteristic
55C2×C11×#95—21no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C23×C4×C11—21no—
68C2×C11×SD16—22no—
69C2×C11×SD16—22no—
70C2×C11×SD16—22no—
71C2×C11×SD16—22no—
72C2×C11×SD16C2×C414yes—
73C2×C11×SD16C2×C414yes—
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C11×C4⋊Q8—22no—
79C11×C4⋊Q8C2×C414yescomplemented
80C4×Q8×C11—22no—
81C4×Q8×C11—22no—
82C4×Q8×C11—22no—
83C4×Q8×C11—22no—
84C4×D4×C11—22no—
85C4×D4×C11—22no—
86C4×D4×C11—22no—
87C4×D4×C11—22no—
88C4×D4×C11C2×C414yes—
89C4×D4×C11D414yes—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C42×C11—21no—
103C2×C42×C11—21no—
104C2×C42×C11—21no—
105C2×C42×C11—21no—
106C2×C42×C11—21no—
107C2×C42×C11C2311yescharacteristic
108C2×C42×C11C2311yescharacteristic
109C2×C42×C11C2311yescharacteristic
110C11×#107—22no—
111C11×#106—22no—
112C11×C4⋊C8—22no—
113C11×C4⋊C8C2×C414yescomplemented
114C11×#103—22no—
115C11×#103—22no—
116C11×#103—22no—
117C11×#103—22no—
118C11×#103C2×C414yescomplemented
119C11×#103C2×C414yescomplemented
120C11×#102—22no—
121C11×#102—22no—
122C11×#97—22no—
123C4×C8×C11—22no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133C11×#95D411yescharacteristic
134C11×#95D411yescharacteristic
135C11×#95D411yescharacteristic
136C11×#95D411yescharacteristic
137#21514C1111yesmaximal, characteristic, direct product factor, Sylow
138C24×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22×C412yes—
150C2×Q8×C11C22×C412yes—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11C22×C412yes—
155C2×D4×C11C2×D412yes—
156C2×D4×C11#4112yes—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—81no—
168C22×C4×C11—81no—
169C22×C4×C11—81no—
170C22×C4×C11—81no—
171C22×C4×C11—81no—
172C22×C4×C11—81no—
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2411yescharacteristic
180C11×SD16—28no—
181C11×SD16—28no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11C22×C412yes—
193C2×C8×C11C22×C412yes—
194C11×C4⋊C4—24no—
195C11×C4⋊C4—24no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—42no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4C22×C412yes—
206C11×C4⋊C4C2×D412yes—
207C11×C4⋊C4#4112yes—
208C11×C22⋊C4—24no—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—24no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—42no—
214C42×C11—42no—
215C42×C11—81no—
216C42×C11—81no—
217C42×C11—81no—
218C42×C11C22×C412yes—
219C42×C11C2×D412yes—
220C42×C11#4112yes—
221C42×C11#4112yes—
222C2×#461C2×C1111yescharacteristic
223C2×#440C2×C1111yescharacteristic
224C2×C4×SD16C2×C1111yescharacteristic
225#2327C2×C1111yescharacteristic, complemented
226#2275C2×C1111yescharacteristic
227#1981C2×C1111yescharacteristic, complemented
228#1949C2×C1111yescharacteristic, complemented
229#1928C2×C1111yescharacteristic, complemented
230#1927C2×C1111yescharacteristic, complemented
231#1877C2×C1111yescharacteristic
232#1877C2×C1111yescharacteristic
233#1804C2×C1111yescharacteristic
234#1768C2×C1111yescharacteristic, complemented
235#1763C2×C1111yescharacteristic, complemented
236C4×#103C2×C1111yescharacteristic, complemented
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11C22×D411yescharacteristic
245Q8×C11—22no—
246Q8×C11—22no—
247Q8×C11—22no—
248Q8×C11—22no—
249Q8×C11—41no—
250Q8×C11—41no—
251Q8×C11—41no—
252Q8×C11—41no—
253D4×C11—22no—
254D4×C11—22no—
255D4×C11—22no—
256D4×C11C4×D414yes—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
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—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—84no—
293C2×C4×C11—84no—
294C2×C4×C11—84no—
295C2×C4×C11C4×D412yes—
296C2×C4×C11C4×D412yes—
297C2×C4×C11#12112yes—
298C2×C4×C11#12112yes—
299C2×C4×C11C23×C411yescharacteristic
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C8×C11—22no—
306C8×C11—22no—
307C8×C11—41no—
308C8×C11—41no—
309C22×SD16C22×C1111yescharacteristic
310C22×SD16C22×C1111yescharacteristic
311C2×C4⋊Q8C22×C1111yescharacteristic
312C2×C4×Q8C22×C1111yescharacteristic
313C2×C4×Q8C22×C1111yescharacteristic
314C2×C4×D4C22×C1111yescharacteristic
315C2×C4×D4C22×C1111yescharacteristic
316C2×C4×D4C22×C1111yescharacteristic
317#461C4×C1118yescomplemented
318#440—24no—
319C4×SD16—24no—
320C2×#107C22×C1111yescharacteristic
321C2×#106C22×C1111yescharacteristic
322C2×C4⋊C8C22×C1111yescharacteristic
323C2×C4⋊C8C22×C1111yescharacteristic
324C2×#103C22×C1111yescharacteristic
325C2×#103C22×C1111yescharacteristic
326C2×#103C22×C1111yescharacteristic
327C2×#103C22×C1111yescharacteristic
328C2×#103C22×C1111yescharacteristic
329C2×#103C22×C1111yescharacteristic
330C2×#102C22×C1111yescharacteristic
331C2×#102C22×C1111yescharacteristic
332C2×#97C22×C1111yescharacteristic
333C2×C4×C8C22×C1111yescharacteristic
334#391C22×C1111yescharacteristic
335#391C22×C1111yescharacteristic
336#387—21no—
337#387—21no—
338#387—21no—
339#387—21no—
340#382C22×C1111yescharacteristic
341C4×C4⋊C4C22×C1111yescharacteristic
342C4×C4⋊C4C22×C1111yescharacteristic
343C4×C4⋊C4C22×C1111yescharacteristic
344C4×C22⋊C4—21no—
345C4×C22⋊C4—21no—
346C4×C22⋊C4—21no—
347#376C22×C1111yescharacteristic
348C2×#95—21no—
349#340C22×C1111yescharacteristic
350#340C22×C1111yescharacteristic
351#340C22×C1111yescharacteristic
352#340C22×C1111yescharacteristic
353#336C22×C1111yescharacteristic
354#336C22×C1111yescharacteristic
355C22×C11—24no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—42no—
361C22×C11—42no—
362C22×C11C2×C4×D411yescharacteristic
363C22×C11C2×#12111yescharacteristic
364C22×C11#52511yescharacteristic
365C22×C11#57711yescharacteristic
366C22×C11#57711yescharacteristic
367C22×C11#57711yescharacteristic
368C22×C11#57811yescharacteristic
369C4×C11—22no—
370C4×C11—22no—
371C4×C11—22no—
372C4×C11—22no—
373C4×C11—41no—
374C4×C11—41no—
375C4×C11—42no—
376C4×C11—42no—
377C4×C11—42no—
378C4×C11—42no—
379C4×C11—42no—
380C4×C11—81no—
381C4×C11—81no—
382C4×C11C2×C4×D411yescharacteristic
383C4×C11C4×#4111yescharacteristic
384C4×C11#52911yescharacteristic
385C4×C11#53211yescharacteristic
386C22×Q8C23×C1111yescharacteristic
387C22×Q8C23×C1111yescharacteristic
388C22×D4C23×C1111yescharacteristic
389C23×C4—21no—
390C23×C4—21no—
391C23×C4—21no—
392C2×SD16—22no—
393C2×SD16—22no—
394C2×SD16—22no—
395C2×SD16—22no—
396C2×SD16C2×C4×C1114yes—
397C2×SD16C2×C4×C1114yes—
398C22×C8C23×C1111yescharacteristic
399C22×C8C23×C1111yescharacteristic
400C22×C8C23×C1111yescharacteristic
401C22×C8C23×C1111yescharacteristic
402C4⋊Q8—22no—
403C4⋊Q8C2×C4×C1114yescomplemented
404C4×Q8—22no—
405C4×Q8—22no—
406C4×Q8—22no—
407C4×Q8—22no—
408C4×D4—22no—
409C4×D4—22no—
410C4×D4—22no—
411C4×D4—22no—
412C4×D4C2×C4×C1114yes—
413C4×D4D4×C1114yes—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42C23×C1111yescharacteristic
432C2×C42C23×C1111yescharacteristic
433C2×C42C23×C1111yescharacteristic
434#107—22no—
435#106—22no—
436C4⋊C8—22no—
437C4⋊C8C2×C4×C1114yescomplemented
438#103—22no—
439#103—22no—
440#103—22no—
441#103—22no—
442#103C2×C4×C1114yescomplemented
443#103C2×C4×C1114yescomplemented
444#102—22no—
445#102—22no—
446#97—22no—
447C4×C8—22no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95D4×C1111yescharacteristic
458#95D4×C1111yescharacteristic
459#95D4×C1111yescharacteristic
460#95D4×C1111yescharacteristic
461C2×C11—44no—
462C2×C11C4×#12111yescharacteristic
463C2×C11#294711yescharacteristic
464C2×C11#294911yescharacteristic
465C2×C11#304211yescharacteristic
466C2×C11#304611yescharacteristic
467C2×C11#312011yescharacteristic
468C2×C11#312311yescharacteristic
469C24—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8C22×C4×C1112yes—
481C2×Q8C22×C4×C1112yes—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4C22×C4×C1112yes—
486C2×D4C2×D4×C1112yes—
487C2×D4C11×#4112yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4C2×D4×C1111yescharacteristic
505C22×C4C2×D4×C1111yescharacteristic
506C22×C4C2×D4×C1111yescharacteristic
507C22×C4C2×D4×C1111yescharacteristic
508C22×C4C2×D4×C1111yescharacteristic
509C22×C4C2×D4×C1111yescharacteristic
510C22×C4C24×C1111yescharacteristic
511SD16—28no—
512SD16—28no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8C22×C4×C1112yes—
524C2×C8C22×C4×C1112yes—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4C22×C4×C1112yes—
537C4⋊C4C2×D4×C1112yes—
538C4⋊C4C11×#4112yes—
539C22⋊C4—24no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C42—21no—
543C42—21no—
544C42—42no—
545C42—42no—
546C42—81no—
547C42—81no—
548C42—81no—
549C42C22×C4×C1112yes—
550C42C2×D4×C1112yes—
551C42C11×#4112yes—
552C42C11×#4112yes—
553C11#2151411yescharacteristic, direct product factor, Sylow
554C23—22no—
555C23—22no—
556C23—22no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C22×D4×C1111yescharacteristic
562Q8—22no—
563Q8—22no—
564Q8—22no—
565Q8—22no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569Q8—41no—
570D4—22no—
571D4—22no—
572D4—22no—
573D4C4×D4×C1114yes—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—84no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4C4×D4×C1112yes—
613C2×C4C4×D4×C1112yes—
614C2×C4C11×#12112yes—
615C2×C4C11×#12112yes—
616C2×C4C23×C4×C1111yescharacteristic
617C2×C4C22×D4×C1111yescharacteristic
618C2×C4C2×C11×#4111yescharacteristic
619C2×C4C2×C11×#4111yescharacteristic
620C2×C4C2×C11×#4111yescharacteristic
621C2×C4C2×C11×#4111yescharacteristic
622C8—22no—
623C8—22no—
624C8—41no—
625C8—41no—
626C22—24no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22C2×C4×D4×C1111yescharacteristic
634C22C2×C11×#12111yescharacteristic
635C22C11×#52511yescharacteristic
636C22C11×#57711yescharacteristic
637C22C11×#57711yescharacteristic
638C22C11×#57711yescharacteristic
639C22C11×#57811yescharacteristic
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—42no—
645C4—42no—
646C4—42no—
647C4—42no—
648C4—41no—
649C4—41no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4C2×C4×D4×C1111yescharacteristic
654C4C4×C11×#4111yescharacteristic
655C4C11×#52911yescharacteristic
656C4C11×#53211yescharacteristic
657C2—44no—
658C2C4×C11×#12111yescharacteristic
659C2C11×#294711yescharacteristic
660C2C11×#294911yescharacteristic
661C2C11×#304211yescharacteristic
662C2C11×#304611yescharacteristic
663C2C11×#312011yescharacteristic
664C2C11×#312311yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C11×#376 ◁ G

Complements

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

NH ≅ G/Ntype
4. C11×#2327C2semidirect
6. C11×#1981C2semidirect
7. C11×#1949C2semidirect
8. C11×#1928C2semidirect
9. C11×#1927C2semidirect
13. C11×#1768C2semidirect
14. C11×#1763C2semidirect
15. C4×C11×#103C2semidirect
24. C11×#461C4semidirect
79. C11×C4⋊Q8C2×C4semidirect
113. C11×C4⋊C8C2×C4semidirect
118. C11×#103C2×C4semidirect
119. C11×#103C2×C4semidirect
137. #21514C11direct (N × H)
225. #2327C2×C11semidirect
227. #1981C2×C11semidirect
228. #1949C2×C11semidirect
229. #1928C2×C11semidirect
230. #1927C2×C11semidirect
234. #1768C2×C11semidirect
235. #1763C2×C11semidirect
236. C4×#103C2×C11semidirect
317. #461C4×C11semidirect
403. C4⋊Q8C2×C4×C11semidirect
437. C4⋊C8C2×C4×C11semidirect
442. #103C2×C4×C11semidirect
443. #103C2×C4×C11semidirect
553. C11#21514direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4612
C2×C11×#4402
C2×C4×C11×SD162
C11×#23272
C11×#22752
C11×#19812
C11×#19492
C11×#19282
C11×#19272
C11×#18772
C11×#18042
C11×#17682
C11×#17632
C4×C11×#1032
#2151411