Finite Group Databasebeta

← C11×#24349 #14601542

Subgroups — C11×#24349 #14601542

Order 2816.

1072 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×#554C211yesmaximal, characteristic
2C2×C11×#479C211yesmaximal, characteristic, complemented
3C2×C11×#440C211yesmaximal, characteristic
4C11×#2582C211yesmaximal, characteristic, complemented
5C11×#2059C211yesmaximal, characteristic, complemented
6C11×#2057C211yesmaximal, characteristic, complemented
7C11×#2026C211yesmaximal, characteristic, complemented
8C11×#2024C211yesmaximal, characteristic, complemented
9C11×#1992C211yesmaximal, characteristic, complemented
10C11×#1985C211yesmaximal, characteristic, complemented
11C11×#1877C211yesmaximal, characteristic
12C11×#1877C211yesmaximal, characteristic
13C11×#1864C211yesmaximal, characteristic
14C11×#1862C211yesmaximal, characteristic
15C11×#1802C211yesmaximal, characteristic
16C22×C11×SD16C2211yescharacteristic
17C11×#554—24no—
18C11×#554—24no—
19C2×C11×C4⋊Q8C2211yescharacteristic
20C2×C11×#125C2211yescharacteristic
21C2×C11×#125C2211yescharacteristic
22C2×C11×C22⋊Q8—21no—
23C2×C11×C22⋊Q8—21no—
24C2×C11×C22⋊Q8—21no—
25C2×C4×Q8×C11C2211yescharacteristic
26C2×C4×Q8×C11C2211yescharacteristic
27C2×C4×D4×C11C2211yescharacteristic
28C2×C4×D4×C11C2211yescharacteristic
29C2×C4×D4×C11C2211yescharacteristic
30C22×C11×C4⋊C4—21no—
31C11×#479—24no—
32C11×#440—24no—
33C2×C11×#107C2211yescharacteristic
34C2×C11×#107C2211yescharacteristic
35C2×C11×#106C2211yescharacteristic
36C2×C11×C4⋊C8C2211yescharacteristic
37C2×C11×#103C2211yescharacteristic
38C2×C11×#103C2211yescharacteristic
39C2×C11×#103C2211yescharacteristic
40C2×C11×#102C2211yescharacteristic
41C2×C11×#102C2211yescharacteristic
42C2×C11×#102C2211yescharacteristic
43C2×C11×#97C2211yescharacteristic
44C11×#398—21no—
45C11×#398—21no—
46C11×#391—21no—
47C11×#391C2211yescharacteristic
48C11×#391C2211yescharacteristic
49C11×#389—21no—
50C11×#389C2211yescharacteristic
51C11×#389C2211yescharacteristic
52C11×#384C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C11×#336C2211yescharacteristic
63C22×Q8×C11—21no—
64C22×Q8×C11D411yescharacteristic
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11—21no—
69C23×C4×C11—21no—
70C2×C11×SD16—22no—
71C2×C11×SD16—22no—
72C2×C11×SD16Q814yescomplemented
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C11×C4⋊Q8—22no—
78C11×C4⋊Q8—22no—
79C11×#125—22no—
80C11×#125—22no—
81C11×#125—22no—
82C11×#125D414yes—
83C11×C22⋊Q8—28no—
84C11×C22⋊Q8—28no—
85C11×C22⋊Q8—28no—
86C4×Q8×C11—22no—
87C4×Q8×C11—22no—
88C4×Q8×C11—22no—
89C4×Q8×C11—22no—
90C4×D4×C11—22no—
91C4×D4×C11—22no—
92C4×D4×C11—22no—
93C4×D4×C11—22no—
94C4×D4×C11—22no—
95C4×D4×C11D414yes—
96C2×C11×C4⋊C4—28no—
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⋊C4—21no—
105C2×C11×C4⋊C4—21no—
106C2×C11×C4⋊C4—21no—
107C2×C11×C4⋊C4D411yescharacteristic
108C2×C11×C4⋊C4D411yescharacteristic
109C2×C11×C4⋊C4D411yescharacteristic
110C2×C11×C4⋊C4C2311yescharacteristic
111C2×C11×C4⋊C4C2311yescharacteristic
112C2×C11×C4⋊C4C2311yescharacteristic
113C2×C11×C4⋊C4C2311yescharacteristic
114C2×C11×C4⋊C4C2311yescharacteristic
115C2×C11×C4⋊C4C2311yescharacteristic
116C2×C11×C22⋊C4—21no—
117C2×C11×C22⋊C4—21no—
118C2×C11×C22⋊C4—21no—
119C2×C42×C11—21no—
120C2×C42×C11C2311yescharacteristic
121C2×C42×C11C2311yescharacteristic
122C2×C42×C11C2311yescharacteristic
123C11×#107—22no—
124C11×#107—22no—
125C11×#106—22no—
126C11×C4⋊C8—22no—
127C11×#103—22no—
128C11×#103—22no—
129C11×#103—22no—
130C11×#102—22no—
131C11×#102—22no—
132C11×#102—22no—
133C11×#97—22no—
134C11×#95—21no—
135C11×#95—21no—
136C11×#95—21no—
137C11×#95—21no—
138C11×#95—21no—
139C11×#95—21no—
140#24349C1111yesmaximal, characteristic, direct product factor, Sylow
141C24×C11—21no—
142C2×Q8×C11—24no—
143C2×Q8×C11—22no—
144C2×Q8×C11—22no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—41no—
151C2×Q8×C11—81no—
152C2×Q8×C11—81no—
153C2×Q8×C11C2×Q812yes—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11C2×D412yes—
158C2×D4×C11C2×Q812yes—
159C2×D4×C11#4112yes—
160C22×C4×C11—24no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—24no—
166C22×C4×C11—24no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—42no—
171C22×C4×C11—42no—
172C22×C4×C11—81no—
173C22×C4×C11—81no—
174C22×C4×C11—81no—
175C22×C4×C11—81no—
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C11×SD16—28no—
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×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11C2×Q812yes—
196C11×C4⋊C4—24no—
197C11×C4⋊C4—24no—
198C11×C4⋊C4—24no—
199C11×C4⋊C4—22no—
200C11×C4⋊C4—24no—
201C11×C4⋊C4—24no—
202C11×C4⋊C4—22no—
203C11×C4⋊C4—22no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
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×C4⋊C4C2×D412yes—
220C11×C4⋊C4C2×D412yes—
221C11×C22⋊C4—24no—
222C11×C22⋊C4—24no—
223C11×C22⋊C4—24no—
224C42×C11—21no—
225C42×C11—21no—
226C42×C11—21no—
227C42×C11—21no—
228C42×C11—42no—
229C42×C11C2×D412yes—
230C42×C11C2×D412yes—
231C2×#554C2×C1111yescharacteristic
232C2×#479C2×C1111yescharacteristic, complemented
233C2×#440C2×C1111yescharacteristic
234#2582C2×C1111yescharacteristic, complemented
235#2059C2×C1111yescharacteristic, complemented
236#2057C2×C1111yescharacteristic, complemented
237#2026C2×C1111yescharacteristic, complemented
238#2024C2×C1111yescharacteristic, complemented
239#1992C2×C1111yescharacteristic, complemented
240#1985C2×C1111yescharacteristic, complemented
241#1877C2×C1111yescharacteristic
242#1877C2×C1111yescharacteristic
243#1864C2×C1111yescharacteristic
244#1862C2×C1111yescharacteristic
245#1802C2×C1111yescharacteristic
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11C22×D411yescharacteristic
254Q8×C11—22no—
255Q8×C11—22no—
256Q8×C11—44no—
257Q8×C11—41no—
258Q8×C11—41no—
259Q8×C11—84no—
260D4×C11—22no—
261D4×C11—22no—
262D4×C11—22no—
263D4×C11C22⋊Q814yes—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—48no—
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—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—84no—
302C2×C4×C11—84no—
303C2×C4×C11#12012yes—
304C2×C4×C11#12012yes—
305C2×C4×C11#13712yes—
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×Q811yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C112−1+411yescharacteristic
311C2×C4×C112−1+411yescharacteristic
312C8×C11—22no—
313C8×C11—41no—
314C8×C11—41no—
315C8×C11—41no—
316C22×SD16C22×C1111yescharacteristic
317#554—24no—
318#554—24no—
319C2×C4⋊Q8C22×C1111yescharacteristic
320C2×#125C22×C1111yescharacteristic
321C2×#125C22×C1111yescharacteristic
322C2×C22⋊Q8—21no—
323C2×C22⋊Q8—21no—
324C2×C22⋊Q8—21no—
325C2×C4×Q8C22×C1111yescharacteristic
326C2×C4×Q8C22×C1111yescharacteristic
327C2×C4×D4C22×C1111yescharacteristic
328C2×C4×D4C22×C1111yescharacteristic
329C2×C4×D4C22×C1111yescharacteristic
330C22×C4⋊C4—21no—
331#479—24no—
332#440—24no—
333C2×#107C22×C1111yescharacteristic
334C2×#107C22×C1111yescharacteristic
335C2×#106C22×C1111yescharacteristic
336C2×C4⋊C8C22×C1111yescharacteristic
337C2×#103C22×C1111yescharacteristic
338C2×#103C22×C1111yescharacteristic
339C2×#103C22×C1111yescharacteristic
340C2×#102C22×C1111yescharacteristic
341C2×#102C22×C1111yescharacteristic
342C2×#102C22×C1111yescharacteristic
343C2×#97C22×C1111yescharacteristic
344#398—21no—
345#398—21no—
346#391—21no—
347#391C22×C1111yescharacteristic
348#391C22×C1111yescharacteristic
349#389—21no—
350#389C22×C1111yescharacteristic
351#389C22×C1111yescharacteristic
352#384C22×C1111yescharacteristic
353#340C22×C1111yescharacteristic
354#340C22×C1111yescharacteristic
355#340C22×C1111yescharacteristic
356#340C22×C1111yescharacteristic
357#340C22×C1111yescharacteristic
358#340C22×C1111yescharacteristic
359#336C22×C1111yescharacteristic
360#336C22×C1111yescharacteristic
361#336C22×C1111yescharacteristic
362#336C22×C1111yescharacteristic
363C22×C11—24no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11C2×#12011yescharacteristic
371C22×C11#54811yescharacteristic
372C22×C11D4×Q811yescharacteristic
373C22×C11C2×#13711yescharacteristic
374C22×C11#57511yescharacteristic
375C22×C11#57611yescharacteristic
376C22×C11#57711yescharacteristic
377C4×C11—22no—
378C4×C11—22no—
379C4×C11—22no—
380C4×C11—42no—
381C4×C11—41no—
382C4×C11—42no—
383C4×C11—41no—
384C4×C11—41no—
385C4×C11—42no—
386C4×C11—42no—
387C4×C11—81no—
388C4×C11—81no—
389C4×C11—81no—
390C4×C11C2×C22⋊Q811yescharacteristic
391C4×C11#53611yescharacteristic
392C4×C11#54811yescharacteristic
393C4×C11D4×Q811yescharacteristic
394C22×Q8—21no—
395C22×Q8D4×C1111yescharacteristic
396C22×Q8C23×C1111yescharacteristic
397C22×D4C23×C1111yescharacteristic
398C23×C4—21no—
399C23×C4—21no—
400C23×C4—21no—
401C2×SD16—22no—
402C2×SD16—22no—
403C2×SD16Q8×C1114yescomplemented
404C22×C8C23×C1111yescharacteristic
405C22×C8C23×C1111yescharacteristic
406C22×C8C23×C1111yescharacteristic
407C22×C8C23×C1111yescharacteristic
408C4⋊Q8—22no—
409C4⋊Q8—22no—
410#125—22no—
411#125—22no—
412#125—22no—
413#125D4×C1114yes—
414C22⋊Q8—28no—
415C22⋊Q8—28no—
416C22⋊Q8—28no—
417C4×Q8—22no—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—22no—
421C4×D4—22no—
422C4×D4—22no—
423C4×D4—22no—
424C4×D4—22no—
425C4×D4—22no—
426C4×D4D4×C1114yes—
427C2×C4⋊C4—28no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
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⋊C4D4×C1111yescharacteristic
439C2×C4⋊C4D4×C1111yescharacteristic
440C2×C4⋊C4D4×C1111yescharacteristic
441C2×C4⋊C4C23×C1111yescharacteristic
442C2×C4⋊C4C23×C1111yescharacteristic
443C2×C4⋊C4C23×C1111yescharacteristic
444C2×C4⋊C4C23×C1111yescharacteristic
445C2×C4⋊C4C23×C1111yescharacteristic
446C2×C4⋊C4C23×C1111yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C42—21no—
451C2×C42C23×C1111yescharacteristic
452C2×C42C23×C1111yescharacteristic
453C2×C42C23×C1111yescharacteristic
454#107—22no—
455#107—22no—
456#106—22no—
457C4⋊C8—22no—
458#103—22no—
459#103—22no—
460#103—22no—
461#102—22no—
462#102—22no—
463#102—22no—
464#97—22no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471C2×C11—44no—
472C2×C11#240911yescharacteristic
473C2×C11#300711yescharacteristic
474C2×C11#301211yescharacteristic
475C2×C11#337011yescharacteristic
476C2×C11#337211yescharacteristic
477C2×C11#338511yescharacteristic
478C2×C11#338811yescharacteristic
479C24—21no—
480C2×Q8—24no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—41no—
489C2×Q8—81no—
490C2×Q8—81no—
491C2×Q8C2×Q8×C1112yes—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4C2×D4×C1112yes—
496C2×D4C2×Q8×C1112yes—
497C2×D4C11×#4112yes—
498C22×C4—24no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4C2×D4×C1111yescharacteristic
515C22×C4C2×D4×C1111yescharacteristic
516C22×C4C2×D4×C1111yescharacteristic
517C22×C4C2×D4×C1111yescharacteristic
518C22×C4C2×D4×C1111yescharacteristic
519C22×C4C2×D4×C1111yescharacteristic
520C22×C4C24×C1111yescharacteristic
521SD16—28no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8C2×Q8×C1112yes—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—81no—
554C4⋊C4—81no—
555C4⋊C4—81no—
556C4⋊C4C2×D4×C1112yes—
557C4⋊C4C2×D4×C1112yes—
558C4⋊C4C2×D4×C1112yes—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—42no—
567C42C2×D4×C1112yes—
568C42C2×D4×C1112yes—
569C11#2434911yescharacteristic, direct product factor, Sylow
570C23—22no—
571C23—22no—
572C23—22no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23C22×D4×C1111yescharacteristic
578Q8—22no—
579Q8—22no—
580Q8—44no—
581Q8—41no—
582Q8—41no—
583Q8—84no—
584D4—22no—
585D4—22no—
586D4—22no—
587D4C11×C22⋊Q814yes—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—48no—
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—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—84no—
626C2×C4—84no—
627C2×C4C11×#12012yes—
628C2×C4C11×#12012yes—
629C2×C4C11×#13712yes—
630C2×C4C22×D4×C1111yescharacteristic
631C2×C4C22×D4×C1111yescharacteristic
632C2×C4C22×Q8×C1111yescharacteristic
633C2×C4C2×C11×#4111yescharacteristic
634C2×C4C11×2−1+411yescharacteristic
635C2×C4C11×2−1+411yescharacteristic
636C8—22no—
637C8—41no—
638C8—41no—
639C8—41no—
640C22—24no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22C2×C11×#12011yescharacteristic
648C22C11×#54811yescharacteristic
649C22D4×Q8×C1111yescharacteristic
650C22C2×C11×#13711yescharacteristic
651C22C11×#57511yescharacteristic
652C22C11×#57611yescharacteristic
653C22C11×#57711yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—42no—
658C4—41no—
659C4—42no—
660C4—41no—
661C4—41no—
662C4—42no—
663C4—42no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4C2×C11×C22⋊Q811yescharacteristic
668C4C11×#53611yescharacteristic
669C4C11×#54811yescharacteristic
670C4D4×Q8×C1111yescharacteristic
671C2—44no—
672C2C11×#240911yescharacteristic
673C2C11×#300711yescharacteristic
674C2C11×#301211yescharacteristic
675C2C11×#337011yescharacteristic
676C2C11×#337211yescharacteristic
677C2C11×#338511yescharacteristic
678C2C11×#338811yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×Q8×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#479C2semidirect
4. C11×#2582C2semidirect
5. C11×#2059C2semidirect
6. C11×#2057C2semidirect
7. C11×#2026C2semidirect
8. C11×#2024C2semidirect
9. C11×#1992C2semidirect
10. C11×#1985C2semidirect
72. C2×C11×SD16Q8semidirect
140. #24349C11direct (N × H)
232. C2×#479C2×C11semidirect
234. #2582C2×C11semidirect
235. #2059C2×C11semidirect
236. #2057C2×C11semidirect
237. #2026C2×C11semidirect
238. #2024C2×C11semidirect
239. #1992C2×C11semidirect
240. #1985C2×C11semidirect
403. C2×SD16Q8×C11semidirect
569. C11#24349direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5542
C2×C11×#4792
C2×C11×#4402
C11×#25822
C11×#20592
C11×#20572
C11×#20262
C11×#20242
C11×#19922
C11×#19852
C11×#18772
C11×#18642
C11×#18622
C11×#18022
#2434911