Finite Group Databasebeta

← C11×#23012 #14600205

Subgroups — C11×#23012 #14600205

Order 2816.

982 conjugacy classes of subgroups.

The subgroup lattice has 670 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×#2365C211yesmaximal, characteristic, complemented
5C11×#2349C211yesmaximal, characteristic
6C11×#1960C211yesmaximal, characteristic, complemented
7C11×#1949C211yesmaximal, characteristic, complemented
8C11×#1935C211yesmaximal, characteristic, complemented
9C11×#1933C211yesmaximal, characteristic, complemented
10C11×#1877C211yesmaximal, characteristic
11C11×#1877C211yesmaximal, characteristic
12C11×#1865C211yesmaximal, characteristic, complemented
13C11×#1863C211yesmaximal, characteristic, complemented
14C11×#1771C211yesmaximal, characteristic, complemented
15C11×#1762C211yesmaximal, characteristic
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×#103C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#97C2211yescharacteristic
39C2×C11×#97C2211yescharacteristic
40C2×C4×C8×C11C2211yescharacteristic
41C11×#391C2211yescharacteristic
42C11×#391C2211yescharacteristic
43C11×#389—21no—
44C11×#389C2211yescharacteristic
45C11×#389C2211yescharacteristic
46C11×#387—21no—
47C11×#387—21no—
48C11×#385—21no—
49C11×#385—21no—
50C11×#382C2211yescharacteristic
51C11×#380—21no—
52C4×C11×C4⋊C4—21no—
53C4×C11×C4⋊C4C2211yescharacteristic
54C4×C11×C4⋊C4C2211yescharacteristic
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—41no—
83C4×Q8×C11—41no—
84C4×D4×C11—22no—
85C4×D4×C11—22no—
86C4×D4×C11—22no—
87C4×D4×C11—41no—
88C4×D4×C11—41no—
89C4×D4×C11C2×C414yes—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4D411yescharacteristic
97C2×C11×C4⋊C4D411yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2311yescharacteristic
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C42×C11—21no—
107C2×C42×C11—21no—
108C2×C42×C11—21no—
109C2×C42×C11C2311yescharacteristic
110C2×C42×C11C2311yescharacteristic
111C2×C42×C11C2311yescharacteristic
112C11×#107—22no—
113C11×#106—22no—
114C11×C4⋊C8C2×C414yescomplemented
115C11×#103—22no—
116C11×#103—22no—
117C11×#103—41no—
118C11×#103—41no—
119C11×#103C2×C414yescomplemented
120C11×#103C2×C414yescomplemented
121C11×#102—22no—
122C11×#102D414yes—
123C11×#97—22no—
124C11×#97—22no—
125C4×C8×C11—22no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133C11×#95—21no—
134C11×#95—21no—
135C11×#95D411yescharacteristic
136C11×#95D411yescharacteristic
137#23012C1111yesmaximal, 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—24no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—42no—
166C22×C4×C11—42no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
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×C11C22×C412yes—
192C2×C8×C11C22×C412yes—
193C2×C8×C11C2×D412yes—
194C11×C4⋊C4—24no—
195C11×C4⋊C4—24no—
196C11×C4⋊C4—22no—
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—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—41no—
206C11×C4⋊C4—42no—
207C11×C4⋊C4—42no—
208C11×C4⋊C4—81no—
209C11×C4⋊C4—81no—
210C11×C4⋊C4C22×C412yes—
211C11×C4⋊C4C2×D412yes—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—42no—
214C11×C22⋊C4—42no—
215C42×C11—21no—
216C42×C11—21no—
217C42×C11—21no—
218C42×C11—21no—
219C42×C11—42no—
220C42×C11—42no—
221C42×C11—42no—
222C42×C11C22×C412yes—
223C42×C11#4112yes—
224C2×#461C2×C1111yescharacteristic
225C2×#440C2×C1111yescharacteristic
226C2×C4×SD16C2×C1111yescharacteristic
227#2365C2×C1111yescharacteristic, complemented
228#2349C2×C1111yescharacteristic
229#1960C2×C1111yescharacteristic, complemented
230#1949C2×C1111yescharacteristic, complemented
231#1935C2×C1111yescharacteristic, complemented
232#1933C2×C1111yescharacteristic, complemented
233#1877C2×C1111yescharacteristic
234#1877C2×C1111yescharacteristic
235#1865C2×C1111yescharacteristic, complemented
236#1863C2×C1111yescharacteristic, complemented
237#1771C2×C1111yescharacteristic, complemented
238#1762C2×C1111yescharacteristic
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11C22×D411yescharacteristic
247Q8×C11—22no—
248Q8×C11—22no—
249Q8×C11—22no—
250Q8×C11—22no—
251Q8×C11—41no—
252Q8×C11—41no—
253Q8×C11—41no—
254Q8×C11—41no—
255D4×C11—22no—
256D4×C11—22no—
257D4×C11—22no—
258D4×C11C4×D414yes—
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—21no—
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—21no—
277C2×C4×C11—21no—
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—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—84no—
296C2×C4×C11—84no—
297C2×C4×C11—84no—
298C2×C4×C11C4×D412yes—
299C2×C4×C11C4×D412yes—
300C2×C4×C11#13712yes—
301C2×C4×C11C23×C411yescharacteristic
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11H(5,𝔽2)11yescharacteristic
306C2×C4×C112−1+411yescharacteristic
307C8×C11—22no—
308C8×C11—22no—
309C8×C11—22no—
310C8×C11—41no—
311C22×SD16C22×C1111yescharacteristic
312C22×SD16C22×C1111yescharacteristic
313C2×C4⋊Q8C22×C1111yescharacteristic
314C2×C4×Q8C22×C1111yescharacteristic
315C2×C4×Q8C22×C1111yescharacteristic
316C2×C4×D4C22×C1111yescharacteristic
317C2×C4×D4C22×C1111yescharacteristic
318C2×C4×D4C22×C1111yescharacteristic
319#461C4×C1118yescomplemented
320#440—24no—
321C4×SD16—24no—
322C2×#107C22×C1111yescharacteristic
323C2×#106C22×C1111yescharacteristic
324C2×C4⋊C8C22×C1111yescharacteristic
325C2×#103C22×C1111yescharacteristic
326C2×#103C22×C1111yescharacteristic
327C2×#103C22×C1111yescharacteristic
328C2×#103C22×C1111yescharacteristic
329C2×#103C22×C1111yescharacteristic
330C2×#103C22×C1111yescharacteristic
331C2×#102C22×C1111yescharacteristic
332C2×#102C22×C1111yescharacteristic
333C2×#97C22×C1111yescharacteristic
334C2×#97C22×C1111yescharacteristic
335C2×C4×C8C22×C1111yescharacteristic
336#391C22×C1111yescharacteristic
337#391C22×C1111yescharacteristic
338#389—21no—
339#389C22×C1111yescharacteristic
340#389C22×C1111yescharacteristic
341#387—21no—
342#387—21no—
343#385—21no—
344#385—21no—
345#382C22×C1111yescharacteristic
346#380—21no—
347C4×C4⋊C4—21no—
348C4×C4⋊C4C22×C1111yescharacteristic
349C4×C4⋊C4C22×C1111yescharacteristic
350C2×#95—21no—
351#340C22×C1111yescharacteristic
352#340C22×C1111yescharacteristic
353#340C22×C1111yescharacteristic
354#340C22×C1111yescharacteristic
355#336C22×C1111yescharacteristic
356#336C22×C1111yescharacteristic
357C22×C11—24no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—42no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11C2×C4×D411yescharacteristic
365C22×C11D4211yescharacteristic
366C22×C11#54811yescharacteristic
367C22×C11C2×#13711yescharacteristic
368C22×C11#57511yescharacteristic
369C22×C11#57711yescharacteristic
370C22×C11#57711yescharacteristic
371C4×C11—22no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—42no—
375C4×C11—42no—
376C4×C11—42no—
377C4×C11—41no—
378C4×C11—41no—
379C4×C11—41no—
380C4×C11—42no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11—81no—
384C4×C11C2×C4×D411yescharacteristic
385C4×C11#52011yescharacteristic
386C4×C11#54711yescharacteristic
387C4×C11#55311yescharacteristic
388C22×Q8C23×C1111yescharacteristic
389C22×Q8C23×C1111yescharacteristic
390C22×D4C23×C1111yescharacteristic
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—21no—
394C2×SD16—22no—
395C2×SD16—22no—
396C2×SD16—22no—
397C2×SD16—22no—
398C2×SD16C2×C4×C1114yes—
399C2×SD16C2×C4×C1114yes—
400C22×C8C23×C1111yescharacteristic
401C22×C8C23×C1111yescharacteristic
402C22×C8C23×C1111yescharacteristic
403C22×C8C23×C1111yescharacteristic
404C4⋊Q8—22no—
405C4⋊Q8C2×C4×C1114yescomplemented
406C4×Q8—22no—
407C4×Q8—22no—
408C4×Q8—41no—
409C4×Q8—41no—
410C4×D4—22no—
411C4×D4—22no—
412C4×D4—22no—
413C4×D4—41no—
414C4×D4—41no—
415C4×D4C2×C4×C1114yes—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4D4×C1111yescharacteristic
423C2×C4⋊C4D4×C1111yescharacteristic
424C2×C4⋊C4C23×C1111yescharacteristic
425C2×C4⋊C4C23×C1111yescharacteristic
426C2×C4⋊C4C23×C1111yescharacteristic
427C2×C4⋊C4C23×C1111yescharacteristic
428C2×C4⋊C4C23×C1111yescharacteristic
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C42—21no—
433C2×C42—21no—
434C2×C42—21no—
435C2×C42C23×C1111yescharacteristic
436C2×C42C23×C1111yescharacteristic
437C2×C42C23×C1111yescharacteristic
438#107—22no—
439#106—22no—
440C4⋊C8C2×C4×C1114yescomplemented
441#103—22no—
442#103—22no—
443#103—41no—
444#103—41no—
445#103C2×C4×C1114yescomplemented
446#103C2×C4×C1114yescomplemented
447#102—22no—
448#102D4×C1114yes—
449#97—22no—
450#97—22no—
451C4×C8—22no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95D4×C1111yescharacteristic
462#95D4×C1111yescharacteristic
463C2×C11—44no—
464C2×C11#236111yescharacteristic
465C2×C11C4×#13711yescharacteristic
466C2×C11#294911yescharacteristic
467C2×C11#326611yescharacteristic
468C2×C11#326711yescharacteristic
469C2×C11#337211yescharacteristic
470C2×C11#337611yescharacteristic
471C24—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×Q8—21no—
481C2×Q8—21no—
482C2×Q8C22×C4×C1112yes—
483C2×Q8C22×C4×C1112yes—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4C22×C4×C1112yes—
488C2×D4C2×D4×C1112yes—
489C2×D4C11×#4112yes—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4C2×D4×C1111yescharacteristic
507C22×C4C2×D4×C1111yescharacteristic
508C22×C4C2×D4×C1111yescharacteristic
509C22×C4C2×D4×C1111yescharacteristic
510C22×C4C2×D4×C1111yescharacteristic
511C22×C4C2×D4×C1111yescharacteristic
512C22×C4C24×C1111yescharacteristic
513SD16—28no—
514SD16—28no—
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×C8—21no—
524C2×C8C22×C4×C1112yes—
525C2×C8C22×C4×C1112yes—
526C2×C8C2×D4×C1112yes—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4C22×C4×C1112yes—
544C4⋊C4C2×D4×C1112yes—
545C22⋊C4—24no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—42no—
553C42—42no—
554C42—42no—
555C42C22×C4×C1112yes—
556C42C11×#4112yes—
557C11#2301211yescharacteristic, direct product factor, Sylow
558C23—22no—
559C23—22no—
560C23—22no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23C22×D4×C1111yescharacteristic
566Q8—22no—
567Q8—22no—
568Q8—22no—
569Q8—22no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—41no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4C4×D4×C1114yes—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
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—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—84no—
615C2×C4—84no—
616C2×C4—84no—
617C2×C4C4×D4×C1112yes—
618C2×C4C4×D4×C1112yes—
619C2×C4C11×#13712yes—
620C2×C4C23×C4×C1111yescharacteristic
621C2×C4C22×D4×C1111yescharacteristic
622C2×C4C2×C11×#4111yescharacteristic
623C2×C4C2×C11×#4111yescharacteristic
624C2×C4C11×H(5,𝔽2)11yescharacteristic
625C2×C4C11×2−1+411yescharacteristic
626C8—22no—
627C8—22no—
628C8—22no—
629C8—41no—
630C22—24no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22C2×C4×D4×C1111yescharacteristic
638C22D42×C1111yescharacteristic
639C22C11×#54811yescharacteristic
640C22C2×C11×#13711yescharacteristic
641C22C11×#57511yescharacteristic
642C22C11×#57711yescharacteristic
643C22C11×#57711yescharacteristic
644C4—22no—
645C4—22no—
646C4—22no—
647C4—42no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—42no—
652C4—42no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4C2×C4×D4×C1111yescharacteristic
658C4C11×#52011yescharacteristic
659C4C11×#54711yescharacteristic
660C4C11×#55311yescharacteristic
661C2—44no—
662C2C11×#236111yescharacteristic
663C2C4×C11×#13711yescharacteristic
664C2C11×#294911yescharacteristic
665C2C11×#326611yescharacteristic
666C2C11×#326711yescharacteristic
667C2C11×#337211yescharacteristic
668C2C11×#337611yescharacteristic
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 ◁ C4×C11×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
4. C11×#2365C2semidirect
6. C11×#1960C2semidirect
7. C11×#1949C2semidirect
8. C11×#1935C2semidirect
9. C11×#1933C2semidirect
12. C11×#1865C2semidirect
13. C11×#1863C2semidirect
14. C11×#1771C2semidirect
24. C11×#461C4semidirect
79. C11×C4⋊Q8C2×C4semidirect
114. C11×C4⋊C8C2×C4semidirect
119. C11×#103C2×C4semidirect
120. C11×#103C2×C4semidirect
137. #23012C11direct (N × H)
227. #2365C2×C11semidirect
229. #1960C2×C11semidirect
230. #1949C2×C11semidirect
231. #1935C2×C11semidirect
232. #1933C2×C11semidirect
235. #1865C2×C11semidirect
236. #1863C2×C11semidirect
237. #1771C2×C11semidirect
319. #461C4×C11semidirect
405. C4⋊Q8C2×C4×C11semidirect
440. C4⋊C8C2×C4×C11semidirect
445. #103C2×C4×C11semidirect
446. #103C2×C4×C11semidirect
557. C11#23012direct (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×#23652
C11×#23492
C11×#19602
C11×#19492
C11×#19352
C11×#19332
C11×#18772
C11×#18652
C11×#18632
C11×#17712
C11×#17622
#2301211