Finite Group Databasebeta

← C11×#24103 #14601296

Subgroups — C11×#24103 #14601296

Order 2816.

1110 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#553C211yesmaximal, characteristic
2C2×C11×#482C211yesmaximal, characteristic, complemented
3C2×C11×#428C211yesmaximal, characteristic, complemented
4C11×#2485C211yesmaximal, characteristic, complemented
5C11×#2059C211yesmaximal, characteristic, complemented
6C11×#2059C211yesmaximal, characteristic, complemented
7C11×#2034C211yesmaximal, characteristic, complemented
8C11×#2033C211yesmaximal, characteristic, complemented
9C11×#1895C211yesmaximal, characteristic, complemented
10C11×#1870C211yesmaximal, characteristic, complemented
11C11×#1864C211yesmaximal, characteristic, complemented
12C11×#1862C211yesmaximal, characteristic, complemented
13C11×#1854C211yesmaximal, characteristic, complemented
14C11×#1854C211yesmaximal, characteristic, complemented
15C11×#1823C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C11×#553—24no—
18C11×#553—24no—
19C2×C11×#126—21no—
20C2×C11×#125C2211yescharacteristic
21C2×C11×#123—21no—
22C2×C11×#121—21no—
23C2×C11×#121C2211yescharacteristic
24C2×C11×#121C2211yescharacteristic
25C2×C4×D4×C11—21no—
26C2×C4×D4×C11C2211yescharacteristic
27C2×C4×D4×C11C2211yescharacteristic
28C2×C11×#117C2211yescharacteristic
29C2×C11×#117C2211yescharacteristic
30C22×C11×C4⋊C4C2211yescharacteristic
31C11×#482—24no—
32C11×#428—24no—
33C2×C11×#107C2211yescharacteristic
34C2×C11×#107C2211yescharacteristic
35C2×C11×#107C2211yescharacteristic
36C2×C11×#106C2211yescharacteristic
37C2×C11×#106C2211yescharacteristic
38C2×C11×#106C2211yescharacteristic
39C2×C11×#102C2211yescharacteristic
40C2×C11×#102C2211yescharacteristic
41C2×C11×#102C2211yescharacteristic
42C2×C11×#102C2211yescharacteristic
43C2×C11×C22⋊C8C2211yescharacteristic
44C2×C11×C22⋊C8C2211yescharacteristic
45C2×C11×C22⋊C8C2211yescharacteristic
46C11×#397—21no—
47C11×#394—21no—
48C11×#389C2211yescharacteristic
49C11×#389C2211yescharacteristic
50C11×#388—21no—
51C11×#387—21no—
52C11×#380C2211yescharacteristic
53C11×#380C2211yescharacteristic
54C11×#380C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C11×#336C2211yescharacteristic
63C22×D4×C11—21no—
64C22×D4×C11—21no—
65C22×D4×C11D411yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11—21no—
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C2×C11×M16—22no—
72C2×C11×M16—22no—
73C2×C11×M16—22no—
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C11×#126—28no—
79C11×#125—22no—
80C11×#125—22no—
81C11×#123—28no—
82C11×#121—28no—
83C11×#121—22no—
84C11×#121—22no—
85C11×#121—22no—
86C11×#121D414yes—
87C4×D4×C11—28no—
88C4×D4×C11—22no—
89C4×D4×C11—22no—
90C4×D4×C11—22no—
91C4×D4×C11—22no—
92C11×#117—22no—
93C11×#117—22no—
94C11×#117—22no—
95C11×#117—22no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4—22no—
98C2×C11×C4⋊C4—21no—
99C2×C11×C4⋊C4—21no—
100C2×C11×C4⋊C4—21no—
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4D411yescharacteristic
103C2×C11×C4⋊C4D414yes—
104C2×C11×C4⋊C4C2311yescharacteristic
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C4⋊C4C2311yescharacteristic
110C2×C11×C4⋊C4C2311yescharacteristic
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×C11×C22⋊C4—21no—
117C2×C11×C22⋊C4—21no—
118C2×C11×C22⋊C4—21no—
119C2×C11×C22⋊C4D411yescharacteristic
120C2×C11×C22⋊C4D411yescharacteristic
121C2×C42×C11—21no—
122C2×C42×C11—21no—
123C2×C42×C11C2311yescharacteristic
124C11×#107—22no—
125C11×#107—22no—
126C11×#107—22no—
127C11×#106—22no—
128C11×#106—22no—
129C11×#106—22no—
130C11×#102—22no—
131C11×#102—22no—
132C11×#102—22no—
133C11×#102—22no—
134C11×C22⋊C8—22no—
135C11×C22⋊C8—22no—
136C11×C22⋊C8—22no—
137C11×#95—21no—
138C11×#95—21no—
139C11×#95—21no—
140C11×#95—21no—
141C11×#95—21no—
142#24103C1111yesmaximal, characteristic, direct product factor, Sylow
143C24×C11—21no—
144C24×C11C2×D411yescharacteristic
145C24×C11C2×D411yescharacteristic
146C2×D4×C11—22no—
147C2×D4×C11—24no—
148C2×D4×C11—24no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—41no—
155C2×D4×C11—41no—
156C2×D4×C11—42no—
157C2×D4×C11—42no—
158C2×D4×C11—81no—
159C2×D4×C11—81no—
160C2×D4×C11C2×D412yes—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—24no—
169C22×C4×C11—24no—
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×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—81no—
181C22×C4×C11—81no—
182C22×C4×C11—81no—
183C22×C4×C11—81no—
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2411yescharacteristic
191C11×M16—28no—
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×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11#4112yes—
203C2×C8×C11#4112yes—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—24no—
206C11×C4⋊C4—24no—
207C11×C4⋊C4—22no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—21no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—42no—
220C11×C4⋊C4—81no—
221C11×C4⋊C4C2×D412yes—
222C11×C4⋊C4C2×D412yes—
223C11×C4⋊C4C2×D412yes—
224C11×C22⋊C4—24no—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—24no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—24no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—42no—
231C11×C22⋊C4—42no—
232C11×C22⋊C4—81no—
233C11×C22⋊C4—81no—
234C42×C11—24no—
235C42×C11—21no—
236C42×C11—21no—
237C42×C11—42no—
238C2×#553C2×C1111yescharacteristic
239C2×#482C2×C1111yescharacteristic, complemented
240C2×#428C2×C1111yescharacteristic, complemented
241#2485C2×C1111yescharacteristic, complemented
242#2059C2×C1111yescharacteristic, complemented
243#2059C2×C1111yescharacteristic, complemented
244#2034C2×C1111yescharacteristic, complemented
245#2033C2×C1111yescharacteristic, complemented
246#1895C2×C1111yescharacteristic, complemented
247#1870C2×C1111yescharacteristic, complemented
248#1864C2×C1111yescharacteristic, complemented
249#1862C2×C1111yescharacteristic, complemented
250#1854C2×C1111yescharacteristic, complemented
251#1854C2×C1111yescharacteristic, complemented
252#1823C2×C1111yescharacteristic, complemented
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—22no—
261C23×C11—21no—
262C23×C11—21no—
263C23×C11—21no—
264C23×C11—21no—
265C23×C11—21no—
266C23×C11—21no—
267C23×C11—41no—
268C23×C11—41no—
269C23×C11—41no—
270C23×C11—41no—
271C23×C11—41no—
272C23×C11—41no—
273C23×C11#12012yes—
274C23×C11C22×D411yescharacteristic
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—44no—
278D4×C11—48no—
279D4×C11—41no—
280D4×C11—41no—
281D4×C11—84no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—22no—
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—21no—
295C2×C4×C11—21no—
296C2×C4×C11—21no—
297C2×C4×C11—21no—
298C2×C4×C11—21no—
299C2×C4×C11—21no—
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—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—41no—
314C2×C4×C11—41no—
315C2×C4×C11—41no—
316C2×C4×C11—41no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—84no—
323C2×C4×C11—84no—
324C2×C4×C11#12012yes—
325C2×C4×C11C22×D411yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C2×#4111yescharacteristic
328C2×C4×C11C2×#4111yescharacteristic
329C2×C4×C112−1+411yescharacteristic
330C2×C4×C112−1+411yescharacteristic
331C8×C11—22no—
332C8×C11—22no—
333C8×C11—41no—
334C8×C11—41no—
335C22×M16C22×C1111yescharacteristic
336#553—24no—
337#553—24no—
338C2×#126—21no—
339C2×#125C22×C1111yescharacteristic
340C2×#123—21no—
341C2×#121—21no—
342C2×#121C22×C1111yescharacteristic
343C2×#121C22×C1111yescharacteristic
344C2×C4×D4—21no—
345C2×C4×D4C22×C1111yescharacteristic
346C2×C4×D4C22×C1111yescharacteristic
347C2×#117C22×C1111yescharacteristic
348C2×#117C22×C1111yescharacteristic
349C22×C4⋊C4C22×C1111yescharacteristic
350#482—24no—
351#428—24no—
352C2×#107C22×C1111yescharacteristic
353C2×#107C22×C1111yescharacteristic
354C2×#107C22×C1111yescharacteristic
355C2×#106C22×C1111yescharacteristic
356C2×#106C22×C1111yescharacteristic
357C2×#106C22×C1111yescharacteristic
358C2×#102C22×C1111yescharacteristic
359C2×#102C22×C1111yescharacteristic
360C2×#102C22×C1111yescharacteristic
361C2×#102C22×C1111yescharacteristic
362C2×C22⋊C8C22×C1111yescharacteristic
363C2×C22⋊C8C22×C1111yescharacteristic
364C2×C22⋊C8C22×C1111yescharacteristic
365#397—21no—
366#394—21no—
367#389C22×C1111yescharacteristic
368#389C22×C1111yescharacteristic
369#388—21no—
370#387—21no—
371#380C22×C1111yescharacteristic
372#380C22×C1111yescharacteristic
373#380C22×C1111yescharacteristic
374#340C22×C1111yescharacteristic
375#340C22×C1111yescharacteristic
376#340C22×C1111yescharacteristic
377#340C22×C1111yescharacteristic
378#340C22×C1111yescharacteristic
379#340C22×C1111yescharacteristic
380#336C22×C1111yescharacteristic
381#336C22×C1111yescharacteristic
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11—41no—
393C22×C11—41no—
394C22×C11—42no—
395C22×C11—41no—
396C22×C11—42no—
397C22×C11—42no—
398C22×C11—41no—
399C22×C11—81no—
400C22×C11—81no—
401C22×C11—81no—
402C22×C11—81no—
403C22×C11C2×#12011yescharacteristic
404C22×C11#54711yescharacteristic
405C22×C11#54711yescharacteristic
406C22×C11#57511yescharacteristic
407C22×C11#57511yescharacteristic
408C22×C11#57611yescharacteristic
409C22×C11#57711yescharacteristic
410C4×C11—22no—
411C4×C11—41no—
412C4×C11—41no—
413C4×C11—42no—
414C4×C11—41no—
415C4×C11—42no—
416C4×C11—42no—
417C4×C11—81no—
418C4×C11—81no—
419C4×C11—81no—
420C4×C11—81no—
421C4×C11#52511yescharacteristic
422C4×C11#53611yescharacteristic
423C4×C11#54711yescharacteristic
424C4×C11#54711yescharacteristic
425C22×D4—21no—
426C22×D4—21no—
427C22×D4D4×C1111yescharacteristic
428C22×D4C23×C1111yescharacteristic
429C23×C4—21no—
430C23×C4—21no—
431C23×C4C23×C1111yescharacteristic
432C23×C4C23×C1111yescharacteristic
433C2×M16—22no—
434C2×M16—22no—
435C2×M16—22no—
436C22×C8C23×C1111yescharacteristic
437C22×C8C23×C1111yescharacteristic
438C22×C8C23×C1111yescharacteristic
439C22×C8C23×C1111yescharacteristic
440#126—28no—
441#125—22no—
442#125—22no—
443#123—28no—
444#121—28no—
445#121—22no—
446#121—22no—
447#121—22no—
448#121D4×C1114yes—
449C4×D4—28no—
450C4×D4—22no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—22no—
454#117—22no—
455#117—22no—
456#117—22no—
457#117—22no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4D4×C1111yescharacteristic
465C2×C4⋊C4D4×C1114yes—
466C2×C4⋊C4C23×C1111yescharacteristic
467C2×C4⋊C4C23×C1111yescharacteristic
468C2×C4⋊C4C23×C1111yescharacteristic
469C2×C4⋊C4C23×C1111yescharacteristic
470C2×C4⋊C4C23×C1111yescharacteristic
471C2×C4⋊C4C23×C1111yescharacteristic
472C2×C4⋊C4C23×C1111yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4D4×C1111yescharacteristic
482C2×C22⋊C4D4×C1111yescharacteristic
483C2×C42—21no—
484C2×C42—21no—
485C2×C42C23×C1111yescharacteristic
486#107—22no—
487#107—22no—
488#107—22no—
489#106—22no—
490#106—22no—
491#106—22no—
492#102—22no—
493#102—22no—
494#102—22no—
495#102—22no—
496C22⋊C8—22no—
497C22⋊C8—22no—
498C22⋊C8—22no—
499#95—21no—
500#95—21no—
501#95—21no—
502#95—21no—
503#95—21no—
504C2×C11—42no—
505C2×C11—81no—
506C2×C11—82no—
507C2×C11#240611yescharacteristic
508C2×C11#300511yescharacteristic
509C2×C11#301211yescharacteristic
510C2×C11#334711yescharacteristic
511C2×C11#335011yescharacteristic
512C2×C11#335111yescharacteristic
513C2×C11#335511yescharacteristic
514C24—21no—
515C24C2×D4×C1111yescharacteristic
516C24C2×D4×C1111yescharacteristic
517C2×D4—22no—
518C2×D4—24no—
519C2×D4—24no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—81no—
530C2×D4—81no—
531C2×D4C2×D4×C1112yes—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—81no—
552C22×C4—81no—
553C22×C4—81no—
554C22×C4—81no—
555C22×C4C2×D4×C1111yescharacteristic
556C22×C4C2×D4×C1111yescharacteristic
557C22×C4C2×D4×C1111yescharacteristic
558C22×C4C2×D4×C1111yescharacteristic
559C22×C4C2×D4×C1112yes—
560C22×C4C2×D4×C1112yes—
561C22×C4C24×C1111yescharacteristic
562M16—28no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8C11×#4112yes—
574C2×C8C11×#4112yes—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—42no—
591C4⋊C4—81no—
592C4⋊C4C2×D4×C1112yes—
593C4⋊C4C2×D4×C1112yes—
594C4⋊C4C2×D4×C1112yes—
595C22⋊C4—24no—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—22no—
599C22⋊C4—24no—
600C22⋊C4—22no—
601C22⋊C4—42no—
602C22⋊C4—42no—
603C22⋊C4—81no—
604C22⋊C4—81no—
605C42—24no—
606C42—21no—
607C42—21no—
608C42—42no—
609C11#2410311yescharacteristic, direct product factor, Sylow
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—22no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23C11×#12012yes—
631C23C22×D4×C1111yescharacteristic
632D4—22no—
633D4—22no—
634D4—44no—
635D4—48no—
636D4—41no—
637D4—41no—
638D4—84no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4C11×#12012yes—
682C2×C4C22×D4×C1111yescharacteristic
683C2×C4C22×D4×C1111yescharacteristic
684C2×C4C2×C11×#4111yescharacteristic
685C2×C4C2×C11×#4111yescharacteristic
686C2×C4C11×2−1+411yescharacteristic
687C2×C4C11×2−1+411yescharacteristic
688C8—22no—
689C8—22no—
690C8—41no—
691C8—41no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—42no—
701C22—41no—
702C22—42no—
703C22—42no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22C2×C11×#12011yescharacteristic
714C22C11×#54711yescharacteristic
715C22C11×#54711yescharacteristic
716C22C11×#57511yescharacteristic
717C22C11×#57511yescharacteristic
718C22C11×#57611yescharacteristic
719C22C11×#57711yescharacteristic
720C4—22no—
721C4—41no—
722C4—41no—
723C4—42no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—81no—
728C4—81no—
729C4—81no—
730C4—81no—
731C4C11×#52511yescharacteristic
732C4C11×#53611yescharacteristic
733C4C11×#54711yescharacteristic
734C4C11×#54711yescharacteristic
735C2—42no—
736C2—81no—
737C2—82no—
738C2C11×#240611yescharacteristic
739C2C11×#300511yescharacteristic
740C2C11×#301211yescharacteristic
741C2C11×#334711yescharacteristic
742C2C11×#335011yescharacteristic
743C2C11×#335111yescharacteristic
744C2C11×#335511yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#553C2
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
2. C2×C11×#482C2semidirect
3. C2×C11×#428C2semidirect
4. C11×#2485C2semidirect
5. C11×#2059C2semidirect
6. C11×#2059C2semidirect
7. C11×#2034C2semidirect
8. C11×#2033C2semidirect
9. C11×#1895C2semidirect
10. C11×#1870C2semidirect
11. C11×#1864C2semidirect
12. C11×#1862C2semidirect
13. C11×#1854C2semidirect
14. C11×#1854C2semidirect
15. C11×#1823C2semidirect
142. #24103C11direct (N × H)
239. C2×#482C2×C11semidirect
240. C2×#428C2×C11semidirect
241. #2485C2×C11semidirect
242. #2059C2×C11semidirect
243. #2059C2×C11semidirect
244. #2034C2×C11semidirect
245. #2033C2×C11semidirect
246. #1895C2×C11semidirect
247. #1870C2×C11semidirect
248. #1864C2×C11semidirect
249. #1862C2×C11semidirect
250. #1854C2×C11semidirect
251. #1854C2×C11semidirect
252. #1823C2×C11semidirect
609. C11#24103direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5532
C2×C11×#4822
C2×C11×#4282
C11×#24852
C11×#20592
C11×#20342
C11×#20332
C11×#18952
C11×#18702
C11×#18642
C11×#18622
C11×#18542
C11×#18232
#2410311