Finite Group Databasebeta

← C11×#25029 #14602222

Subgroups — C11×#25029 #14602222

Order 2816.

834 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#485C211yesmaximal, characteristic, complemented
2C2×C11×#483C211yesmaximal, characteristic, complemented
3C11×#2538C211yesmaximal, characteristic
4C11×#2352C211yesmaximal, characteristic
5C11×#2077C211yesmaximal, characteristic, complemented
6C11×#2076C211yesmaximal, characteristic, complemented
7C11×#2036C211yesmaximal, characteristic, complemented
8C11×#2035C211yesmaximal, characteristic, complemented
9C11×#1955C211yesmaximal, characteristic
10C11×#1948C211yesmaximal, characteristic, complemented
11C11×#1854C211yesmaximal, characteristic, complemented
12C11×#1853C211yesmaximal, characteristic, complemented
13C11×#1847C211yesmaximal, characteristic, complemented
14C11×#1805C211yesmaximal, characteristic, complemented
15C11×#1763C211yesmaximal, characteristic, complemented
16C2×C11×C22⋊Q8C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×C11×#117C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C11×#485—24no—
23C11×#483—24no—
24C2×C11×#107C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29C2×C11×#106C2211yescharacteristic
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×C22⋊C8C2211yescharacteristic
36C2×C11×C22⋊C8C2211yescharacteristic
37C2×C11×C22⋊C8C2211yescharacteristic
38C2×C11×C22⋊C8C2211yescharacteristic
39C2×C11×#97C2211yescharacteristic
40C11×#396—21no—
41C11×#396—21no—
42C11×#390—21no—
43C11×#389—21no—
44C11×#388—21no—
45C11×#387—21no—
46C11×#386—21no—
47C11×#384C2211yescharacteristic
48C11×#382C2211yescharacteristic
49C11×#380C2211yescharacteristic
50C11×#380C2211yescharacteristic
51C11×#380C2211yescharacteristic
52C11×#380C2211yescharacteristic
53C4×C11×C4⋊C4C2211yescharacteristic
54C4×C11×C22⋊C4—21no—
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11D411yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C22×C8×C11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C11×C22⋊Q8—22no—
71C11×C22⋊Q8—22no—
72C11×C22⋊Q8—41no—
73C11×C22⋊Q8—41no—
74C4×Q8×C11—22no—
75C4×Q8×C11—22no—
76C4×D4×C11—22no—
77C4×D4×C11—22no—
78C11×#117—22no—
79C11×#117—41no—
80C2×C11×C4⋊C4—22no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4—21no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—21no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—41no—
88C2×C11×C4⋊C4D411yescharacteristic
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4D411yescharacteristic
104C2×C11×C22⋊C4D411yescharacteristic
105C2×C42×C11—21no—
106C2×C42×C11—21no—
107C2×C42×C11—21no—
108C2×C42×C11C2311yescharacteristic
109C11×#107—22no—
110C11×#107—41no—
111C11×#106—22no—
112C11×#106—22no—
113C11×#106—22no—
114C11×#106—41no—
115C11×C4⋊C8—22no—
116C11×#103—22no—
117C11×#103—22no—
118C11×#103—22no—
119C11×#103D414yescomplemented
120C11×C22⋊C8—22no—
121C11×C22⋊C8—22no—
122C11×C22⋊C8—22no—
123C11×C22⋊C8—22no—
124C11×#97—22no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132#25029C1111yesmaximal, characteristic, direct product factor, Sylow
133C24×C11C2×D411yescharacteristic
134C24×C11C2×D411yescharacteristic
135C2×Q8×C11—21no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11C2×D412yes—
141C2×D4×C11—22no—
142C2×D4×C11—22no—
143C2×D4×C11—41no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—42no—
165C22×C4×C11—42no—
166C22×C4×C11—81no—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2411yescharacteristic
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11C2×D412yes—
183C2×C8×C11#4112yes—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4—81no—
204C11×C4⋊C4C2×D412yes—
205C11×C22⋊C4—22no—
206C11×C22⋊C4—22no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—81no—
212C11×C22⋊C4—81no—
213C11×C22⋊C4—81no—
214C42×C11—42no—
215C42×C11—42no—
216C42×C11—81no—
217C42×C11#4112yes—
218C42×C11#4112yes—
219C2×#485C2×C1111yescharacteristic, complemented
220C2×#483C2×C1111yescharacteristic, complemented
221#2538C2×C1111yescharacteristic
222#2352C2×C1111yescharacteristic
223#2077C2×C1111yescharacteristic, complemented
224#2076C2×C1111yescharacteristic, complemented
225#2036C2×C1111yescharacteristic, complemented
226#2035C2×C1111yescharacteristic, complemented
227#1955C2×C1111yescharacteristic
228#1948C2×C1111yescharacteristic, complemented
229#1854C2×C1111yescharacteristic, complemented
230#1853C2×C1111yescharacteristic, complemented
231#1847C2×C1111yescharacteristic, complemented
232#1805C2×C1111yescharacteristic, complemented
233#1763C2×C1111yescharacteristic, complemented
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11#13712yes—
248C23×C11C22×D411yescharacteristic
249Q8×C11—22no—
250Q8×C11—22no—
251Q8×C11—41no—
252Q8×C11—41no—
253D4×C11—44no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
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—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—41no—
296C2×C4×C11—84no—
297C2×C4×C11#12312yes—
298C2×C4×C11#12312yes—
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×C4×C112−1+411yescharacteristic
305C8×C11—22no—
306C8×C11—22no—
307C8×C11—41no—
308C8×C11—41no—
309C2×C22⋊Q8C22×C1111yescharacteristic
310C2×C22⋊Q8C22×C1111yescharacteristic
311C2×C4×Q8C22×C1111yescharacteristic
312C2×C4×D4C22×C1111yescharacteristic
313C2×#117C22×C1111yescharacteristic
314C22×C4⋊C4C22×C1111yescharacteristic
315#485—24no—
316#483—24no—
317C2×#107C22×C1111yescharacteristic
318C2×#107C22×C1111yescharacteristic
319C2×#106C22×C1111yescharacteristic
320C2×#106C22×C1111yescharacteristic
321C2×#106C22×C1111yescharacteristic
322C2×#106C22×C1111yescharacteristic
323C2×C4⋊C8C22×C1111yescharacteristic
324C2×#103C22×C1111yescharacteristic
325C2×#103C22×C1111yescharacteristic
326C2×#103C22×C1111yescharacteristic
327C2×#103C22×C1111yescharacteristic
328C2×C22⋊C8C22×C1111yescharacteristic
329C2×C22⋊C8C22×C1111yescharacteristic
330C2×C22⋊C8C22×C1111yescharacteristic
331C2×C22⋊C8C22×C1111yescharacteristic
332C2×#97C22×C1111yescharacteristic
333#396—21no—
334#396—21no—
335#390—21no—
336#389—21no—
337#388—21no—
338#387—21no—
339#386—21no—
340#384C22×C1111yescharacteristic
341#382C22×C1111yescharacteristic
342#380C22×C1111yescharacteristic
343#380C22×C1111yescharacteristic
344#380C22×C1111yescharacteristic
345#380C22×C1111yescharacteristic
346C4×C4⋊C4C22×C1111yescharacteristic
347C4×C22⋊C4—21no—
348#340C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#340C22×C1111yescharacteristic
351#340C22×C1111yescharacteristic
352#340C22×C1111yescharacteristic
353#340C22×C1111yescharacteristic
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—41no—
358C22×C11—41no—
359C22×C11—41no—
360C22×C11—41no—
361C22×C11—41no—
362C22×C11—41no—
363C22×C11—41no—
364C22×C11—41no—
365C22×C11—41no—
366C22×C11—41no—
367C22×C11—41no—
368C22×C11C2×#12311yescharacteristic
369C22×C11D4211yescharacteristic
370C22×C11#54711yescharacteristic
371C22×C11C2×#13711yescharacteristic
372C22×C11#57511yescharacteristic
373C22×C11#57711yescharacteristic
374C22×C11#57711yescharacteristic
375C4×C11—22no—
376C4×C11—22no—
377C4×C11—41no—
378C4×C11—41no—
379C4×C11—42no—
380C4×C11—42no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11—81no—
384C4×C11—81no—
385C4×C11—81no—
386C4×C11—81no—
387C4×C11#53211yescharacteristic
388C4×C11#54211yescharacteristic
389C4×C11#54711yescharacteristic
390C4×C11#55311yescharacteristic
391C22×Q8C23×C1111yescharacteristic
392C22×D4D4×C1111yescharacteristic
393C23×C4—21no—
394C23×C4C23×C1111yescharacteristic
395C23×C4C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397C22×C8C23×C1111yescharacteristic
398C22×C8C23×C1111yescharacteristic
399C22×C8C23×C1111yescharacteristic
400C22⋊Q8—22no—
401C22⋊Q8—22no—
402C22⋊Q8—41no—
403C22⋊Q8—41no—
404C4×Q8—22no—
405C4×Q8—22no—
406C4×D4—22no—
407C4×D4—22no—
408#117—22no—
409#117—41no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—41no—
418C2×C4⋊C4D4×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C4⋊C4C23×C1111yescharacteristic
424C2×C4⋊C4C23×C1111yescharacteristic
425C2×C4⋊C4C23×C1111yescharacteristic
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4D4×C1111yescharacteristic
434C2×C22⋊C4D4×C1111yescharacteristic
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42C23×C1111yescharacteristic
439#107—22no—
440#107—41no—
441#106—22no—
442#106—22no—
443#106—22no—
444#106—41no—
445C4⋊C8—22no—
446#103—22no—
447#103—22no—
448#103—22no—
449#103D4×C1114yescomplemented
450C22⋊C8—22no—
451C22⋊C8—22no—
452C22⋊C8—22no—
453C22⋊C8—22no—
454#97—22no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462C2×C11—42no—
463C2×C11—81no—
464C2×C11#242211yescharacteristic
465C2×C11#309511yescharacteristic
466C2×C11#309911yescharacteristic
467C2×C11#326611yescharacteristic
468C2×C11#327111yescharacteristic
469C2×C11#334411yescharacteristic
470C2×C11#335011yescharacteristic
471C24C2×D4×C1111yescharacteristic
472C24C2×D4×C1111yescharacteristic
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8C2×D4×C1112yes—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—41no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—81no—
505C22×C4C2×D4×C1111yescharacteristic
506C22×C4C2×D4×C1111yescharacteristic
507C22×C4C2×D4×C1111yescharacteristic
508C22×C4C2×D4×C1111yescharacteristic
509C22×C4C24×C1111yescharacteristic
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8C2×D4×C1112yes—
521C2×C8C11×#4112yes—
522C4⋊C4—22no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—81no—
542C4⋊C4C2×D4×C1112yes—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C42—42no—
553C42—42no—
554C42—81no—
555C42C11×#4112yes—
556C42C11×#4112yes—
557C11#2502911yescharacteristic, direct product factor, Sylow
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23C11×#13712yes—
572C23C22×D4×C1111yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—41no—
576Q8—41no—
577D4—44no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
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—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4C11×#12312yes—
622C2×C4C11×#12312yes—
623C2×C4C22×D4×C1111yescharacteristic
624C2×C4C2×C11×#4111yescharacteristic
625C2×C4C2×C11×#4111yescharacteristic
626C2×C4C2×C11×#4111yescharacteristic
627C2×C4C11×H(5,𝔽2)11yescharacteristic
628C2×C4C11×2−1+411yescharacteristic
629C8—22no—
630C8—22no—
631C8—41no—
632C8—41no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22C2×C11×#12311yescharacteristic
648C22D42×C1111yescharacteristic
649C22C11×#54711yescharacteristic
650C22C2×C11×#13711yescharacteristic
651C22C11×#57511yescharacteristic
652C22C11×#57711yescharacteristic
653C22C11×#57711yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—42no—
659C4—42no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4C11×#53211yescharacteristic
667C4C11×#54211yescharacteristic
668C4C11×#54711yescharacteristic
669C4C11×#55311yescharacteristic
670C2—42no—
671C2—81no—
672C2C11×#242211yescharacteristic
673C2C11×#309511yescharacteristic
674C2C11×#309911yescharacteristic
675C2C11×#326611yescharacteristic
676C2C11×#327111yescharacteristic
677C2C11×#334411yescharacteristic
678C2C11×#335011yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11D4
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. C2×C11×#485C2semidirect
2. C2×C11×#483C2semidirect
5. C11×#2077C2semidirect
6. C11×#2076C2semidirect
7. C11×#2036C2semidirect
8. C11×#2035C2semidirect
10. C11×#1948C2semidirect
11. C11×#1854C2semidirect
12. C11×#1853C2semidirect
13. C11×#1847C2semidirect
14. C11×#1805C2semidirect
15. C11×#1763C2semidirect
119. C11×#103D4semidirect
132. #25029C11direct (N × H)
219. C2×#485C2×C11semidirect
220. C2×#483C2×C11semidirect
223. #2077C2×C11semidirect
224. #2076C2×C11semidirect
225. #2036C2×C11semidirect
226. #2035C2×C11semidirect
228. #1948C2×C11semidirect
229. #1854C2×C11semidirect
230. #1853C2×C11semidirect
231. #1847C2×C11semidirect
232. #1805C2×C11semidirect
233. #1763C2×C11semidirect
449. #103D4×C11semidirect
557. C11#25029direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4852
C2×C11×#4832
C11×#25382
C11×#23522
C11×#20772
C11×#20762
C11×#20362
C11×#20352
C11×#19552
C11×#19482
C11×#18542
C11×#18532
C11×#18472
C11×#18052
C11×#17632
#2502911