Finite Group Databasebeta

← C11×#26368 #14603561

Subgroups — C11×#26368 #14603561

Order 2816.

968 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#474C211yesmaximal, characteristic, complemented
2C2×C4×C11×D8C211yesmaximal, characteristic
3C11×#2452C211yesmaximal, characteristic, complemented
4D4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
5C11×#2093C211yesmaximal, characteristic, complemented
6C11×#2083C211yesmaximal, characteristic, complemented
7C11×#2067C211yesmaximal, characteristic, complemented
8C11×#2057C211yesmaximal, characteristic, complemented
9C11×#1942C211yesmaximal, characteristic, complemented
10C11×#1916C211yesmaximal, characteristic, complemented
11C11×#1879C211yesmaximal, characteristic
12C11×#1879C211yesmaximal, characteristic
13C11×#1862C211yesmaximal, characteristic, complemented
14C11×#1862C211yesmaximal, characteristic, complemented
15C11×#1862C211yesmaximal, characteristic, complemented
16C22×C11×D8C2211yescharacteristic
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×C22⋊Q8—21no—
19C2×C4×D4×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C2×C4×D4×C11C2211yescharacteristic
23C22×C11×C4⋊C4—21no—
24C11×#474—24no—
25C4×C11×D8—24no—
26C2×C11×#107C2211yescharacteristic
27C2×C11×#107C2211yescharacteristic
28C2×C11×#107C2211yescharacteristic
29C2×C11×#107C2211yescharacteristic
30C2×C11×#107C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C4×C8×C11C2211yescharacteristic
39C11×#396—21no—
40C11×#393—21no—
41C11×#390C2211yescharacteristic
42C11×#390C2211yescharacteristic
43C11×#389C2211yescharacteristic
44C11×#389C2211yescharacteristic
45C11×#389C2211yescharacteristic
46C11×#389C2211yescharacteristic
47C11×#385—21no—
48C11×#385—21no—
49C11×#385—21no—
50C11×#384C2211yescharacteristic
51C11×#380—21no—
52C4×C11×C4⋊C4C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×Q8×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C23×C4×C11—21no—
68C2×C11×D8—22no—
69C2×C11×D8—22no—
70C2×C11×D8Q814yescomplemented
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C11×C4⋊Q8—22no—
76C11×C4⋊Q8—41no—
77C11×C22⋊Q8—44no—
78C4×D4×C11—22no—
79C4×D4×C11—22no—
80C4×D4×C11—22no—
81C4×D4×C11—22no—
82C4×D4×C11—22no—
83C4×D4×C11—41no—
84C4×D4×C11—41no—
85C4×D4×C11—41no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—44no—
94C2×C11×C4⋊C4D411yescharacteristic
95C2×C11×C4⋊C4D411yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—21no—
109C2×C11×C22⋊C4—21no—
110C2×C42×C11C2311yescharacteristic
111C2×C42×C11C2311yescharacteristic
112C2×C42×C11C2311yescharacteristic
113C11×#107—22no—
114C11×#107—22no—
115C11×#107—22no—
116C11×#107—22no—
117C11×#107—41no—
118C11×C4⋊C8—22no—
119C11×#102—22no—
120C11×#102—22no—
121C11×#102—22no—
122C11×#102—22no—
123C11×#102—41no—
124C11×#102D414yes—
125C4×C8×C11—22no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95D411yescharacteristic
131C11×#95D411yescharacteristic
132#26368C1111yesmaximal, characteristic, direct product factor, Sylow
133C24×C11—21no—
134C24×C11—21no—
135C2×Q8×C11—42no—
136C2×Q8×C11—42no—
137C2×Q8×C11—81no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11C2×D412yes—
147C2×D4×C11C2×Q812yes—
148C2×D4×C11C2×Q812yes—
149C2×D4×C11#4112yes—
150C22×C4×C11—24no—
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—42no—
158C22×C4×C11—42no—
159C22×C4×C11—42no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11—42no—
164C22×C4×C11—42no—
165C22×C4×C11—81no—
166C22×C4×C11—81no—
167C22×C4×C11—81no—
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2411yescharacteristic
175C11×D8—28no—
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×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11C2×D412yes—
187C2×C8×C11C2×Q812yes—
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—41no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4—42no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4—81no—
206C11×C4⋊C4D814yescomplemented
207C11×C4⋊C4C2×D412yes—
208C11×C4⋊C4#4112yes—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—42no—
212C11×C22⋊C4—42no—
213C11×C22⋊C4—42no—
214C11×C22⋊C4—42no—
215C11×C22⋊C4—42no—
216C11×C22⋊C4—81no—
217C42×C11—21no—
218C42×C11—21no—
219C42×C11—21no—
220C42×C11—21no—
221C42×C11—21no—
222C42×C11—21no—
223C2×#474C2×C1111yescharacteristic, complemented
224C2×C4×D8C2×C1111yescharacteristic
225#2452C2×C1111yescharacteristic, complemented
226D4×C4⋊C4C2×C1111yescharacteristic, complemented
227#2093C2×C1111yescharacteristic, complemented
228#2083C2×C1111yescharacteristic, complemented
229#2067C2×C1111yescharacteristic, complemented
230#2057C2×C1111yescharacteristic, complemented
231#1942C2×C1111yescharacteristic, complemented
232#1916C2×C1111yescharacteristic, complemented
233#1879C2×C1111yescharacteristic
234#1879C2×C1111yescharacteristic
235#1862C2×C1111yescharacteristic, complemented
236#1862C2×C1111yescharacteristic, complemented
237#1862C2×C1111yescharacteristic, complemented
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11C22×D411yescharacteristic
253Q8×C11—84no—
254D4×C11—22no—
255D4×C11—22no—
256D4×C11—22no—
257D4×C11—22no—
258D4×C11—22no—
259D4×C11—41no—
260D4×C11—41no—
261D4×C11C22⋊Q814yescomplemented
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—22no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—48no—
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—84no—
298C2×C4×C11—84no—
299C2×C4×C11C2×D812yes—
300C2×C4×C11C2×D812yes—
301C2×C4×C11C2×D812yes—
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C22×Q811yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×C4×C112−1+411yescharacteristic
308C8×C11—22no—
309C8×C11—22no—
310C8×C11—41no—
311C8×C11—41no—
312C22×D8C22×C1111yescharacteristic
313C2×C4⋊Q8C22×C1111yescharacteristic
314C2×C22⋊Q8—21no—
315C2×C4×D4C22×C1111yescharacteristic
316C2×C4×D4C22×C1111yescharacteristic
317C2×C4×D4C22×C1111yescharacteristic
318C2×C4×D4C22×C1111yescharacteristic
319C22×C4⋊C4—21no—
320#474—24no—
321C4×D8—24no—
322C2×#107C22×C1111yescharacteristic
323C2×#107C22×C1111yescharacteristic
324C2×#107C22×C1111yescharacteristic
325C2×#107C22×C1111yescharacteristic
326C2×#107C22×C1111yescharacteristic
327C2×C4⋊C8C22×C1111yescharacteristic
328C2×#102C22×C1111yescharacteristic
329C2×#102C22×C1111yescharacteristic
330C2×#102C22×C1111yescharacteristic
331C2×#102C22×C1111yescharacteristic
332C2×#102C22×C1111yescharacteristic
333C2×#102C22×C1111yescharacteristic
334C2×C4×C8C22×C1111yescharacteristic
335#396—21no—
336#393—21no—
337#390C22×C1111yescharacteristic
338#390C22×C1111yescharacteristic
339#389C22×C1111yescharacteristic
340#389C22×C1111yescharacteristic
341#389C22×C1111yescharacteristic
342#389C22×C1111yescharacteristic
343#385—21no—
344#385—21no—
345#385—21no—
346#384C22×C1111yescharacteristic
347#380—21no—
348C4×C4⋊C4C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#340C22×C1111yescharacteristic
351#340C22×C1111yescharacteristic
352#340C22×C1111yescharacteristic
353#336C22×C1111yescharacteristic
354#336C22×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×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—81no—
368C22×C11—81no—
369C22×C11—81no—
370C22×C11—81no—
371C22×C11#52511yescharacteristic
372C22×C11D4211yescharacteristic
373C22×C11D4×Q811yescharacteristic
374C22×C11C22×D811yescharacteristic
375C22×C11#57511yescharacteristic
376C22×C11#57611yescharacteristic
377C22×C11#57811yescharacteristic
378C4×C11—22no—
379C4×C11—22no—
380C4×C11—22no—
381C4×C11—42no—
382C4×C11—41no—
383C4×C11—41no—
384C4×C11—41no—
385C4×C11—42no—
386C4×C11—81no—
387C4×C11—81no—
388C4×C11—81no—
389C4×C11—81no—
390C4×C11C2×C22⋊Q811yescharacteristic
391C4×C11#53911yescharacteristic
392C4×C11#54711yescharacteristic
393C4×C11#55411yescharacteristic
394C22×Q8—21no—
395C22×D4C23×C1111yescharacteristic
396C22×D4C23×C1111yescharacteristic
397C23×C4—21no—
398C23×C4—21no—
399C23×C4—21no—
400C23×C4—21no—
401C2×D8—22no—
402C2×D8—22no—
403C2×D8Q8×C1114yescomplemented
404C22×C8C23×C1111yescharacteristic
405C22×C8C23×C1111yescharacteristic
406C22×C8C23×C1111yescharacteristic
407C22×C8C23×C1111yescharacteristic
408C4⋊Q8—22no—
409C4⋊Q8—41no—
410C22⋊Q8—44no—
411C4×D4—22no—
412C4×D4—22no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4—41no—
417C4×D4—41no—
418C4×D4—41no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—44no—
427C2×C4⋊C4D4×C1111yescharacteristic
428C2×C4⋊C4D4×C1111yescharacteristic
429C2×C4⋊C4C23×C1111yescharacteristic
430C2×C4⋊C4C23×C1111yescharacteristic
431C2×C4⋊C4C23×C1111yescharacteristic
432C2×C4⋊C4C23×C1111yescharacteristic
433C2×C4⋊C4C23×C1111yescharacteristic
434C2×C4⋊C4C23×C1111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C42C23×C1111yescharacteristic
444C2×C42C23×C1111yescharacteristic
445C2×C42C23×C1111yescharacteristic
446#107—22no—
447#107—22no—
448#107—22no—
449#107—22no—
450#107—41no—
451C4⋊C8—22no—
452#102—22no—
453#102—22no—
454#102—22no—
455#102—22no—
456#102—41no—
457#102D4×C1114yes—
458C4×C8—22no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95D4×C1111yescharacteristic
464#95D4×C1111yescharacteristic
465C2×C11—44no—
466C2×C11—82no—
467C2×C11#244911yescharacteristic
468C2×C11#310011yescharacteristic
469C2×C11#312411yescharacteristic
470C2×C11#326911yescharacteristic
471C2×C11D4×D811yescharacteristic
472C2×C11Q8×D811yescharacteristic
473C2×C11#338911yescharacteristic
474C24—21no—
475C24—21no—
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—81no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4C2×D4×C1112yes—
488C2×D4C2×Q8×C1112yes—
489C2×D4C2×Q8×C1112yes—
490C2×D4C11×#4112yes—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4C2×D4×C1111yescharacteristic
510C22×C4C2×D4×C1111yescharacteristic
511C22×C4C2×D4×C1111yescharacteristic
512C22×C4C2×D4×C1111yescharacteristic
513C22×C4C2×D4×C1111yescharacteristic
514C22×C4C2×D4×C1111yescharacteristic
515C22×C4C24×C1111yescharacteristic
516D8—28no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8C2×D4×C1112yes—
528C2×C8C2×Q8×C1112yes—
529C4⋊C4—21no—
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—21no—
539C4⋊C4—41no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—81no—
547C4⋊C4C11×D814yescomplemented
548C4⋊C4C2×D4×C1112yes—
549C4⋊C4C11×#4112yes—
550C22⋊C4—24no—
551C22⋊C4—42no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—81no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C11#2636811yescharacteristic, direct product factor, Sylow
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23C22×D4×C1111yescharacteristic
580Q8—84no—
581D4—22no—
582D4—22no—
583D4—22no—
584D4—22no—
585D4—22no—
586D4—41no—
587D4—41no—
588D4C11×C22⋊Q814yescomplemented
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—48no—
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—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4—84no—
625C2×C4—84no—
626C2×C4C2×C11×D812yes—
627C2×C4C2×C11×D812yes—
628C2×C4C2×C11×D812yes—
629C2×C4C22×D4×C1111yescharacteristic
630C2×C4C22×Q8×C1111yescharacteristic
631C2×C4C2×C11×#4111yescharacteristic
632C2×C4C2×C11×#4111yescharacteristic
633C2×C4C11×H(5,𝔽2)11yescharacteristic
634C2×C4C11×2−1+411yescharacteristic
635C8—22no—
636C8—22no—
637C8—41no—
638C8—41no—
639C22—24no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22C11×#52511yescharacteristic
654C22D42×C1111yescharacteristic
655C22D4×Q8×C1111yescharacteristic
656C22C22×C11×D811yescharacteristic
657C22C11×#57511yescharacteristic
658C22C11×#57611yescharacteristic
659C22C11×#57811yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—41no—
664C4—41no—
665C4—42no—
666C4—42no—
667C4—41no—
668C4—81no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4C2×C11×C22⋊Q811yescharacteristic
673C4C11×#53911yescharacteristic
674C4C11×#54711yescharacteristic
675C4C11×#55411yescharacteristic
676C2—44no—
677C2—82no—
678C2C11×#244911yescharacteristic
679C2C11×#310011yescharacteristic
680C2C11×#312411yescharacteristic
681C2C11×#326911yescharacteristic
682C2D4×C11×D811yescharacteristic
683C2Q8×C11×D811yescharacteristic
684C2C11×#338911yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×D8C22
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
1. C2×C11×#474C2semidirect
3. C11×#2452C2semidirect
4. D4×C11×C4⋊C4C2semidirect
5. C11×#2093C2semidirect
6. C11×#2083C2semidirect
7. C11×#2067C2semidirect
8. C11×#2057C2semidirect
9. C11×#1942C2semidirect
10. C11×#1916C2semidirect
13. C11×#1862C2semidirect
14. C11×#1862C2semidirect
15. C11×#1862C2semidirect
70. C2×C11×D8Q8semidirect
132. #26368C11direct (N × H)
206. C11×C4⋊C4D8semidirect
223. C2×#474C2×C11semidirect
225. #2452C2×C11semidirect
226. D4×C4⋊C4C2×C11semidirect
227. #2093C2×C11semidirect
228. #2083C2×C11semidirect
229. #2067C2×C11semidirect
230. #2057C2×C11semidirect
231. #1942C2×C11semidirect
232. #1916C2×C11semidirect
235. #1862C2×C11semidirect
236. #1862C2×C11semidirect
237. #1862C2×C11semidirect
261. D4×C11C22⋊Q8semidirect
403. C2×D8Q8×C11semidirect
547. C4⋊C4C11×D8semidirect
564. C11#26368direct (N × H)
588. D4C11×C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C2×C11×#4742
C2×C4×C11×D82
C11×#24522
D4×C11×C4⋊C42
C11×#20932
C11×#20832
C11×#20672
C11×#20572
C11×#19422
C11×#19162
C11×#18792
C11×#18622
#2636811