Finite Group Databasebeta

← C11×#24741 #14601934

Subgroups — C11×#24741 #14601934

Order 2816.

926 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#464C211yesmaximal, characteristic
2C2×C11×#464C211yesmaximal, characteristic
3C2×C11×#462C211yesmaximal, characteristic, complemented
4C2×C11×#441C211yesmaximal, characteristic, complemented
5C11×#2545C211yesmaximal, characteristic
6Q8×C11×C4⋊C4C211yesmaximal, characteristic, complemented
7C11×#2066C211yesmaximal, characteristic, complemented
8C11×#2065C211yesmaximal, characteristic
9C11×#2043C211yesmaximal, characteristic, complemented
10C11×#2042C211yesmaximal, characteristic
11C11×#1959C211yesmaximal, characteristic
12C11×#1940C211yesmaximal, characteristic, complemented
13C11×#1880C211yesmaximal, characteristic
14C11×#1878C211yesmaximal, characteristic, complemented
15C11×#1803C211yesmaximal, characteristic, complemented
16C22×C11×Q16C2211yescharacteristic
17C22×C11×Q16C2211yescharacteristic
18C22×C11×SD16C2211yescharacteristic
19C2×C11×C4⋊Q8C2211yescharacteristic
20C2×C11×#124C2211yescharacteristic
21C2×C11×#124C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×Q8×C11C2211yescharacteristic
24C2×C4×Q8×C11C2211yescharacteristic
25C2×C4×Q8×C11C2211yescharacteristic
26C11×#464—24no—
27C11×#464—24no—
28C11×#462—24no—
29C11×#441—24no—
30C2×C11×#106C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×C4⋊C8C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#103C2211yescharacteristic
37C2×C11×#103C2211yescharacteristic
38C2×C11×#103C2211yescharacteristic
39C2×C11×#103C2211yescharacteristic
40C2×C11×#103C2211yescharacteristic
41C2×C11×#102C2211yescharacteristic
42C2×C11×#102C2211yescharacteristic
43C2×C11×#102C2211yescharacteristic
44C2×C11×#97C2211yescharacteristic
45C11×#396—21no—
46C11×#396—21no—
47C11×#391C2211yescharacteristic
48C11×#390C2211yescharacteristic
49C11×#389—21no—
50C11×#389—21no—
51C11×#389C2211yescharacteristic
52C11×#389C2211yescharacteristic
53C11×#388—21no—
54C11×#388—21no—
55C11×#384—21no—
56C11×#384C2211yescharacteristic
57C4×C11×C4⋊C4—21no—
58C4×C11×C4⋊C4C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C11×#336C2211yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C2×C11×Q16—22no—
68C2×C11×Q16—22no—
69C2×C11×Q16—22no—
70C2×C11×Q16—22no—
71C2×C11×Q16—22no—
72C2×C11×Q16D414yes—
73C2×C11×SD16—22no—
74C2×C11×SD16—22no—
75C2×C11×SD16—22no—
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C11×C4⋊Q8—22no—
81C11×C4⋊Q8—41no—
82C11×#124—22no—
83C11×#124—22no—
84C11×#124—22no—
85C11×#124—41no—
86C4×Q8×C11—22no—
87C4×Q8×C11—22no—
88C4×Q8×C11—22no—
89C4×Q8×C11—22no—
90C4×Q8×C11—22no—
91C4×Q8×C11—41no—
92C4×Q8×C11—41no—
93C4×Q8×C11D414yes—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4—21no—
99C2×C11×C4⋊C4—21no—
100C2×C11×C4⋊C4—21no—
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4—21no—
103C2×C11×C4⋊C4—21no—
104C2×C11×C4⋊C4D411yescharacteristic
105C2×C11×C4⋊C4D411yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C4⋊C4C2311yescharacteristic
110C2×C11×C22⋊C4—21no—
111C2×C11×C22⋊C4—21no—
112C2×C11×C22⋊C4—21no—
113C2×C11×C22⋊C4—21no—
114C2×C11×C22⋊C4—21no—
115C2×C11×C22⋊C4—21no—
116C2×C42×C11—21no—
117C2×C42×C11—21no—
118C2×C42×C11—21no—
119C2×C42×C11—21no—
120C2×C42×C11C2311yescharacteristic
121C2×C42×C11C2311yescharacteristic
122C2×C42×C11C2311yescharacteristic
123C11×#106—22no—
124C11×C4⋊C8—22no—
125C11×C4⋊C8—22no—
126C11×C4⋊C8—22no—
127C11×#103—22no—
128C11×#103—22no—
129C11×#103—22no—
130C11×#103—22no—
131C11×#103—22no—
132C11×#103—22no—
133C11×#103—41no—
134C11×#102—22no—
135C11×#102—22no—
136C11×#102—41no—
137C11×#97—22no—
138C11×#95—21no—
139C11×#95—21no—
140C11×#95—21no—
141C11×#95—21no—
142C11×#95D411yescharacteristic
143C11×#95D411yescharacteristic
144#24741C1111yesmaximal, characteristic, direct product factor, Sylow
145C24×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—21no—
160C2×Q8×C11C2×D412yes—
161C2×Q8×C11C2×D412yes—
162C2×Q8×C11C2×D412yes—
163C2×Q8×C11#4112yes—
164C2×D4×C11—21no—
165C2×D4×C11—21no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C11×Q16—28no—
185C11×Q16—44no—
186C11×SD16—44no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11C2×D412yes—
199C11×C4⋊C4—24no—
200C11×C4⋊C4—22no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—41no—
209C11×C4⋊C4—42no—
210C11×C4⋊C4—42no—
211C11×C4⋊C4—42no—
212C11×C4⋊C4—42no—
213C11×C4⋊C4—42no—
214C11×C4⋊C4—42no—
215C11×C4⋊C4—81no—
216C11×C4⋊C4—81no—
217C11×C4⋊C4—81no—
218C11×C4⋊C4C2×D412yes—
219C11×C22⋊C4—42no—
220C11×C22⋊C4—42no—
221C11×C22⋊C4—42no—
222C11×C22⋊C4—42no—
223C11×C22⋊C4—42no—
224C11×C22⋊C4—42no—
225C42×C11—24no—
226C42×C11—21no—
227C42×C11—21no—
228C42×C11—21no—
229C42×C11—21no—
230C42×C11—42no—
231C42×C11—42no—
232C42×C11—42no—
233C42×C11C2×D412yes—
234C42×C11#4112yes—
235C2×#464C2×C1111yescharacteristic
236C2×#464C2×C1111yescharacteristic
237C2×#462C2×C1111yescharacteristic, complemented
238C2×#441C2×C1111yescharacteristic, complemented
239#2545C2×C1111yescharacteristic
240Q8×C4⋊C4C2×C1111yescharacteristic, complemented
241#2066C2×C1111yescharacteristic, complemented
242#2065C2×C1111yescharacteristic
243#2043C2×C1111yescharacteristic, complemented
244#2042C2×C1111yescharacteristic
245#1959C2×C1111yescharacteristic
246#1940C2×C1111yescharacteristic, complemented
247#1880C2×C1111yescharacteristic
248#1878C2×C1111yescharacteristic, complemented
249#1803C2×C1111yescharacteristic, complemented
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11C22×D411yescharacteristic
258Q8×C11—22no—
259Q8×C11—22no—
260Q8×C11—22no—
261Q8×C11—22no—
262Q8×C11—22no—
263Q8×C11—41no—
264Q8×C11—41no—
265Q8×C11—41no—
266Q8×C11—41no—
267Q8×C11—41no—
268Q8×C11—41no—
269Q8×C11#12114yes—
270D4×C11—41no—
271D4×C11—41no—
272D4×C11—41no—
273D4×C11—41no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—22no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—22no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11#12112yes—
311C2×C4×C11#12112yes—
312C2×C4×C11#13712yes—
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C2×#4111yescharacteristic
316C2×C4×C11C2×#4111yescharacteristic
317C2×C4×C11H(5,𝔽2)11yescharacteristic
318C2×C4×C112−1+411yescharacteristic
319C8×C11—22no—
320C8×C11—41no—
321C8×C11—41no—
322C8×C11—41no—
323C22×Q16C22×C1111yescharacteristic
324C22×Q16C22×C1111yescharacteristic
325C22×SD16C22×C1111yescharacteristic
326C2×C4⋊Q8C22×C1111yescharacteristic
327C2×#124C22×C1111yescharacteristic
328C2×#124C22×C1111yescharacteristic
329C2×C4×Q8C22×C1111yescharacteristic
330C2×C4×Q8C22×C1111yescharacteristic
331C2×C4×Q8C22×C1111yescharacteristic
332C2×C4×Q8C22×C1111yescharacteristic
333#464—24no—
334#464—24no—
335#462—24no—
336#441—24no—
337C2×#106C22×C1111yescharacteristic
338C2×C4⋊C8C22×C1111yescharacteristic
339C2×C4⋊C8C22×C1111yescharacteristic
340C2×C4⋊C8C22×C1111yescharacteristic
341C2×#103C22×C1111yescharacteristic
342C2×#103C22×C1111yescharacteristic
343C2×#103C22×C1111yescharacteristic
344C2×#103C22×C1111yescharacteristic
345C2×#103C22×C1111yescharacteristic
346C2×#103C22×C1111yescharacteristic
347C2×#103C22×C1111yescharacteristic
348C2×#102C22×C1111yescharacteristic
349C2×#102C22×C1111yescharacteristic
350C2×#102C22×C1111yescharacteristic
351C2×#97C22×C1111yescharacteristic
352#396—21no—
353#396—21no—
354#391C22×C1111yescharacteristic
355#390C22×C1111yescharacteristic
356#389—21no—
357#389—21no—
358#389C22×C1111yescharacteristic
359#389C22×C1111yescharacteristic
360#388—21no—
361#388—21no—
362#384—21no—
363#384C22×C1111yescharacteristic
364C4×C4⋊C4—21no—
365C4×C4⋊C4C22×C1111yescharacteristic
366#340C22×C1111yescharacteristic
367#340C22×C1111yescharacteristic
368#336C22×C1111yescharacteristic
369#336C22×C1111yescharacteristic
370C22×C11—81no—
371C22×C11—81no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11C2×#12111yescharacteristic
378C22×C11D4211yescharacteristic
379C22×C11#54811yescharacteristic
380C22×C11C2×#13711yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57711yescharacteristic
383C22×C11#57811yescharacteristic
384C4×C11—24no—
385C4×C11—22no—
386C4×C11—22no—
387C4×C11—22no—
388C4×C11—42no—
389C4×C11—41no—
390C4×C11—41no—
391C4×C11—41no—
392C4×C11—42no—
393C4×C11—81no—
394C4×C11—81no—
395C4×C11—81no—
396C4×C11—81no—
397C4×C11C2×#12111yescharacteristic
398C4×C11#53711yescharacteristic
399C4×C11#54711yescharacteristic
400C4×C11#55311yescharacteristic
401C22×Q8C23×C1111yescharacteristic
402C22×Q8C23×C1111yescharacteristic
403C22×Q8C23×C1111yescharacteristic
404C22×D4C23×C1111yescharacteristic
405C2×Q16—22no—
406C2×Q16—22no—
407C2×Q16—22no—
408C2×Q16—22no—
409C2×Q16—22no—
410C2×Q16D4×C1114yes—
411C2×SD16—22no—
412C2×SD16—22no—
413C2×SD16—22no—
414C22×C8C23×C1111yescharacteristic
415C22×C8C23×C1111yescharacteristic
416C22×C8C23×C1111yescharacteristic
417C22×C8C23×C1111yescharacteristic
418C4⋊Q8—22no—
419C4⋊Q8—41no—
420#124—22no—
421#124—22no—
422#124—22no—
423#124—41no—
424C4×Q8—22no—
425C4×Q8—22no—
426C4×Q8—22no—
427C4×Q8—22no—
428C4×Q8—22no—
429C4×Q8—41no—
430C4×Q8—41no—
431C4×Q8D4×C1114yes—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4D4×C1111yescharacteristic
443C2×C4⋊C4D4×C1111yescharacteristic
444C2×C4⋊C4C23×C1111yescharacteristic
445C2×C4⋊C4C23×C1111yescharacteristic
446C2×C4⋊C4C23×C1111yescharacteristic
447C2×C4⋊C4C23×C1111yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—21no—
457C2×C42—21no—
458C2×C42C23×C1111yescharacteristic
459C2×C42C23×C1111yescharacteristic
460C2×C42C23×C1111yescharacteristic
461#106—22no—
462C4⋊C8—22no—
463C4⋊C8—22no—
464C4⋊C8—22no—
465#103—22no—
466#103—22no—
467#103—22no—
468#103—22no—
469#103—22no—
470#103—22no—
471#103—41no—
472#102—22no—
473#102—22no—
474#102—41no—
475#97—22no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95D4×C1111yescharacteristic
481#95D4×C1111yescharacteristic
482C2×C11—161no—
483C2×C11#241611yescharacteristic
484C2×C11#303711yescharacteristic
485C2×C11#304611yescharacteristic
486C2×C11#327011yescharacteristic
487C2×C11#327111yescharacteristic
488C2×C11#336911yescharacteristic
489C2×C11#337711yescharacteristic
490C24—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8C2×D4×C1112yes—
506C2×Q8C2×D4×C1112yes—
507C2×Q8C2×D4×C1112yes—
508C2×Q8C11×#4112yes—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4C2×D4×C1111yescharacteristic
523C22×C4C2×D4×C1111yescharacteristic
524C22×C4C2×D4×C1111yescharacteristic
525C22×C4C2×D4×C1111yescharacteristic
526C22×C4C2×D4×C1111yescharacteristic
527C22×C4C2×D4×C1111yescharacteristic
528C22×C4C24×C1111yescharacteristic
529Q16—28no—
530Q16—44no—
531SD16—44no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8C2×D4×C1112yes—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—41no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C4⋊C4—81no—
563C4⋊C4C2×D4×C1112yes—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C42—24no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—42no—
576C42—42no—
577C42—42no—
578C42C2×D4×C1112yes—
579C42C11×#4112yes—
580C11#2474111yescharacteristic, direct product factor, Sylow
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23C22×D4×C1111yescharacteristic
589Q8—22no—
590Q8—22no—
591Q8—22no—
592Q8—22no—
593Q8—22no—
594Q8—41no—
595Q8—41no—
596Q8—41no—
597Q8—41no—
598Q8—41no—
599Q8—41no—
600Q8C11×#12114yes—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4C11×#12112yes—
642C2×C4C11×#12112yes—
643C2×C4C11×#13712yes—
644C2×C4C22×D4×C1111yescharacteristic
645C2×C4C22×D4×C1111yescharacteristic
646C2×C4C2×C11×#4111yescharacteristic
647C2×C4C2×C11×#4111yescharacteristic
648C2×C4C11×H(5,𝔽2)11yescharacteristic
649C2×C4C11×2−1+411yescharacteristic
650C8—22no—
651C8—41no—
652C8—41no—
653C8—41no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×C11×#12111yescharacteristic
662C22D42×C1111yescharacteristic
663C22C11×#54811yescharacteristic
664C22C2×C11×#13711yescharacteristic
665C22C11×#57511yescharacteristic
666C22C11×#57711yescharacteristic
667C22C11×#57811yescharacteristic
668C4—24no—
669C4—22no—
670C4—22no—
671C4—22no—
672C4—42no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—42no—
677C4—81no—
678C4—81no—
679C4—81no—
680C4—81no—
681C4C2×C11×#12111yescharacteristic
682C4C11×#53711yescharacteristic
683C4C11×#54711yescharacteristic
684C4C11×#55311yescharacteristic
685C2—161no—
686C2C11×#241611yescharacteristic
687C2C11×#303711yescharacteristic
688C2C11×#304611yescharacteristic
689C2C11×#327011yescharacteristic
690C2C11×#327111yescharacteristic
691C2C11×#336911yescharacteristic
692C2C11×#337711yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C22×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
3. C2×C11×#462C2semidirect
4. C2×C11×#441C2semidirect
6. Q8×C11×C4⋊C4C2semidirect
7. C11×#2066C2semidirect
9. C11×#2043C2semidirect
12. C11×#1940C2semidirect
14. C11×#1878C2semidirect
15. C11×#1803C2semidirect
144. #24741C11direct (N × H)
237. C2×#462C2×C11semidirect
238. C2×#441C2×C11semidirect
240. Q8×C4⋊C4C2×C11semidirect
241. #2066C2×C11semidirect
243. #2043C2×C11semidirect
246. #1940C2×C11semidirect
248. #1878C2×C11semidirect
249. #1803C2×C11semidirect
580. C11#24741direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4642
C2×C11×#4622
C2×C11×#4412
C11×#25452
Q8×C11×C4⋊C42
C11×#20662
C11×#20652
C11×#20432
C11×#20422
C11×#19592
C11×#19402
C11×#18802
C11×#18782
C11×#18032
#2474111