Finite Group Databasebeta

← C11×#16290 #14593483

Subgroups — C11×#16290 #14593483

Order 2816.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#396C211yesmaximal, characteristic, complemented
2C2×C11×#396C211yesmaximal, characteristic, complemented
3C2×C11×#394C211yesmaximal, characteristic, complemented
4C2×C11×#394C211yesmaximal, characteristic, complemented
5C2×C11×#394C211yesmaximal, characteristic, complemented
6C2×C11×#392C211yesmaximal, characteristic
7C2×C11×#390C211yesmaximal, characteristic, complemented
8C2×C11×#388C211yesmaximal, characteristic, complemented
9C11×#1444C211yesmaximal, characteristic, complemented
10C11×#1439C211yesmaximal, characteristic, complemented
11C11×#1439C211yesmaximal, characteristic, complemented
12C11×#1439C211yesmaximal, characteristic, complemented
13C11×#1438C211yesmaximal, characteristic, complemented
14C11×#1438C211yesmaximal, characteristic, complemented
15C11×#1436C211yesmaximal, characteristic, complemented
16C23×D4×C11C2211yescharacteristic
17C23×D4×C11C2211yescharacteristic
18C23×D4×C11C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C11×C4⋊C4C2211yescharacteristic
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2211yescharacteristic
27C22×C11×C22⋊C4C2211yescharacteristic
28C22×C11×C22⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C11×C22⋊C4C2211yescharacteristic
32C22×C11×C22⋊C4C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C22×C11×C22⋊C4C2211yescharacteristic
40C22×C42×C11C2211yescharacteristic
41C11×#396—24no—
42C11×#396—24no—
43C11×#394—24no—
44C11×#394—24no—
45C11×#394—24no—
46C11×#392—24no—
47C11×#390—24no—
48C11×#388—24no—
49C2×C11×#95C2211yescharacteristic
50C2×C11×#95C2211yescharacteristic
51C2×C11×#95C2211yescharacteristic
52C2×C11×#95C2211yescharacteristic
53C2×C11×#95C2211yescharacteristic
54C2×C11×#95C2211yescharacteristic
55C2×C11×#95C2211yescharacteristic
56C2×C11×#95C2211yescharacteristic
57C2×C11×#95C2211yescharacteristic
58C2×C11×#95C2211yescharacteristic
59C25×C11C2311yescharacteristic
60C25×C11C2311yescharacteristic
61C25×C11C2311yescharacteristic
62C22×D4×C11—22no—
63C22×D4×C11—22no—
64C22×D4×C11—22no—
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—22no—
68C22×D4×C11—22no—
69C22×D4×C11—22no—
70C22×D4×C11—22no—
71C22×D4×C11—22no—
72C22×D4×C11—22no—
73C22×D4×C11—41no—
74C22×D4×C11—41no—
75C22×D4×C11—41no—
76C22×D4×C11—41no—
77C22×D4×C11—41no—
78C22×D4×C11—41no—
79C22×D4×C11—41no—
80C22×D4×C11—41no—
81C22×D4×C11—41no—
82C22×D4×C11—41no—
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2311yescharacteristic
87C23×C4×C11C2311yescharacteristic
88C23×C4×C11C2311yescharacteristic
89C23×C4×C11C2311yescharacteristic
90C23×C4×C11C2311yescharacteristic
91C23×C4×C11C2311yescharacteristic
92C23×C4×C11C2311yescharacteristic
93C23×C4×C11C2311yescharacteristic
94C23×C4×C11C2311yescharacteristic
95C2×C11×C4⋊C4—22no—
96C2×C11×C4⋊C4—22no—
97C2×C11×C4⋊C4—22no—
98C2×C11×C4⋊C4—22no—
99C2×C11×C4⋊C4—22no—
100C2×C11×C4⋊C4—22no—
101C2×C11×C4⋊C4—22no—
102C2×C11×C4⋊C4—22no—
103C2×C11×C4⋊C4—22no—
104C2×C11×C4⋊C4—22no—
105C2×C11×C4⋊C4—22no—
106C2×C11×C4⋊C4—22no—
107C2×C11×C4⋊C4—41no—
108C2×C11×C4⋊C4—41no—
109C2×C11×C4⋊C4—41no—
110C2×C11×C4⋊C4—41no—
111C2×C11×C4⋊C4—41no—
112C2×C11×C4⋊C4—41no—
113C2×C11×C22⋊C4—22no—
114C2×C11×C22⋊C4—22no—
115C2×C11×C22⋊C4—22no—
116C2×C11×C22⋊C4—22no—
117C2×C11×C22⋊C4—22no—
118C2×C11×C22⋊C4—22no—
119C2×C11×C22⋊C4—22no—
120C2×C11×C22⋊C4—22no—
121C2×C11×C22⋊C4—22no—
122C2×C11×C22⋊C4—22no—
123C2×C11×C22⋊C4—22no—
124C2×C11×C22⋊C4—22no—
125C2×C11×C22⋊C4—22no—
126C2×C11×C22⋊C4—22no—
127C2×C11×C22⋊C4—22no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4—22no—
131C2×C11×C22⋊C4—22no—
132C2×C11×C22⋊C4—22no—
133C2×C11×C22⋊C4—22no—
134C2×C11×C22⋊C4—22no—
135C2×C11×C22⋊C4—22no—
136C2×C11×C22⋊C4—22no—
137C2×C11×C22⋊C4—22no—
138C2×C11×C22⋊C4—22no—
139C2×C11×C22⋊C4—22no—
140C2×C11×C22⋊C4—41no—
141C2×C11×C22⋊C4—41no—
142C2×C11×C22⋊C4—41no—
143C2×C11×C22⋊C4—41no—
144C2×C11×C22⋊C4—41no—
145C2×C11×C22⋊C4—41no—
146C2×C11×C22⋊C4—41no—
147C2×C11×C22⋊C4—41no—
148C2×C11×C22⋊C4—41no—
149C2×C11×C22⋊C4—41no—
150C2×C11×C22⋊C4—41no—
151C2×C11×C22⋊C4—41no—
152C2×C11×C22⋊C4—41no—
153C2×C11×C22⋊C4—41no—
154C2×C11×C22⋊C4—41no—
155C2×C11×C22⋊C4—41no—
156C2×C11×C22⋊C4D414yes—
157C2×C11×C22⋊C4D414yescomplemented
158C2×C42×C11—22no—
159C2×C42×C11—22no—
160C2×C42×C11—41no—
161C11×#95—22no—
162C11×#95—22no—
163C11×#95—22no—
164C11×#95—22no—
165C11×#95—22no—
166C11×#95—41no—
167C11×#95—41no—
168C11×#95—41no—
169C11×#95D414yescomplemented
170C11×#95D414yescomplemented
171#16290C1111yesmaximal, characteristic, direct product factor, Sylow
172C24×C11—21no—
173C24×C11—21no—
174C24×C11—21no—
175C24×C11—21no—
176C24×C11—21no—
177C24×C11—21no—
178C24×C11—21no—
179C24×C11—21no—
180C24×C11—21no—
181C24×C11—21no—
182C24×C11—21no—
183C24×C11—21no—
184C24×C11—21no—
185C24×C11—21no—
186C24×C11—21no—
187C24×C11—21no—
188C24×C11—21no—
189C24×C11—21no—
190C24×C11—21no—
191C24×C11—21no—
192C24×C11—21no—
193C24×C11—21no—
194C24×C11—21no—
195C24×C11—21no—
196C24×C11—21no—
197C24×C11—21no—
198C24×C11—21no—
199C24×C11—21no—
200C24×C11—21no—
201C24×C11—21no—
202C24×C11—21no—
203C24×C11—21no—
204C24×C11—21no—
205C24×C11—21no—
206C24×C11—21no—
207C24×C11—21no—
208C24×C11—21no—
209C24×C11—21no—
210C24×C11—21no—
211C24×C11—21no—
212C24×C11—21no—
213C24×C11—21no—
214C24×C11C2×D412yes—
215C24×C11C2×D412yes—
216C24×C11#4112yes—
217C24×C11C2411yescharacteristic
218C2×D4×C11—28no—
219C2×D4×C11—44no—
220C2×D4×C11—44no—
221C2×D4×C11—44no—
222C2×D4×C11—44no—
223C2×D4×C11—44no—
224C2×D4×C11—44no—
225C2×D4×C11—44no—
226C2×D4×C11—44no—
227C2×D4×C11—44no—
228C2×D4×C11—44no—
229C2×D4×C11—44no—
230C2×D4×C11—44no—
231C2×D4×C11—44no—
232C2×D4×C11—44no—
233C2×D4×C11—44no—
234C2×D4×C11—44no—
235C2×D4×C11—44no—
236C2×D4×C11—44no—
237C2×D4×C11—44no—
238C2×D4×C11—44no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—21no—
242C22×C4×C11—21no—
243C22×C4×C11—21no—
244C22×C4×C11—21no—
245C22×C4×C11—21no—
246C22×C4×C11—21no—
247C22×C4×C11—21no—
248C22×C4×C11—21no—
249C22×C4×C11—21no—
250C22×C4×C11—21no—
251C22×C4×C11—21no—
252C22×C4×C11—21no—
253C22×C4×C11—21no—
254C22×C4×C11—21no—
255C22×C4×C11—21no—
256C22×C4×C11—21no—
257C22×C4×C11—21no—
258C22×C4×C11—21no—
259C22×C4×C11—21no—
260C22×C4×C11—21no—
261C22×C4×C11—21no—
262C22×C4×C11—21no—
263C22×C4×C11—21no—
264C22×C4×C11—21no—
265C22×C4×C11—21no—
266C22×C4×C11—21no—
267C22×C4×C11—21no—
268C22×C4×C11—21no—
269C22×C4×C11—21no—
270C22×C4×C11—21no—
271C22×C4×C11—21no—
272C22×C4×C11—21no—
273C22×C4×C11—21no—
274C22×C4×C11—21no—
275C22×C4×C11—21no—
276C22×C4×C11—21no—
277C22×C4×C11—21no—
278C22×C4×C11—21no—
279C22×C4×C11—21no—
280C22×C4×C11—21no—
281C22×C4×C11—21no—
282C22×C4×C11—21no—
283C22×C4×C11—21no—
284C22×C4×C11—21no—
285C22×C4×C11—21no—
286C22×C4×C11—21no—
287C22×C4×C11—21no—
288C22×C4×C11—21no—
289C22×C4×C11—21no—
290C22×C4×C11—21no—
291C22×C4×C11—21no—
292C22×C4×C11—21no—
293C22×C4×C11—21no—
294C22×C4×C11—21no—
295C22×C4×C11—21no—
296C22×C4×C11—21no—
297C22×C4×C11—21no—
298C22×C4×C11—21no—
299C22×C4×C11—21no—
300C22×C4×C11—21no—
301C22×C4×C11—21no—
302C22×C4×C11—21no—
303C22×C4×C11—21no—
304C22×C4×C11—21no—
305C22×C4×C11—21no—
306C22×C4×C11—21no—
307C22×C4×C11—21no—
308C22×C4×C11—21no—
309C22×C4×C11—21no—
310C22×C4×C11—21no—
311C22×C4×C11C2×D412yes—
312C22×C4×C11C2×D412yes—
313C22×C4×C11C2×D412yes—
314C22×C4×C11C2×D412yes—
315C22×C4×C11C2×D412yes—
316C22×C4×C11C2×D412yes—
317C22×C4×C11C2×D412yes—
318C22×C4×C11C2×D412yes—
319C22×C4×C11C2×D412yes—
320C22×C4×C11C2×D412yes—
321C22×C4×C11#4112yes—
322C22×C4×C11#4112yes—
323C11×C4⋊C4—44no—
324C11×C4⋊C4—44no—
325C11×C4⋊C4—44no—
326C11×C4⋊C4—44no—
327C11×C4⋊C4—44no—
328C11×C4⋊C4—44no—
329C11×C22⋊C4—28no—
330C11×C22⋊C4—44no—
331C11×C22⋊C4—44no—
332C11×C22⋊C4—44no—
333C11×C22⋊C4—44no—
334C11×C22⋊C4—44no—
335C11×C22⋊C4—44no—
336C11×C22⋊C4—44no—
337C11×C22⋊C4—44no—
338C11×C22⋊C4—44no—
339C11×C22⋊C4—44no—
340C11×C22⋊C4—44no—
341C11×C22⋊C4—44no—
342C11×C22⋊C4—44no—
343C11×C22⋊C4—44no—
344C42×C11—44no—
345C2×#396C2×C1111yescharacteristic, complemented
346C2×#396C2×C1111yescharacteristic, complemented
347C2×#394C2×C1111yescharacteristic, complemented
348C2×#394C2×C1111yescharacteristic, complemented
349C2×#394C2×C1111yescharacteristic, complemented
350C2×#392C2×C1111yescharacteristic
351C2×#390C2×C1111yescharacteristic, complemented
352C2×#388C2×C1111yescharacteristic, complemented
353#1444C2×C1111yescharacteristic, complemented
354#1439C2×C1111yescharacteristic, complemented
355#1439C2×C1111yescharacteristic, complemented
356#1439C2×C1111yescharacteristic, complemented
357#1438C2×C1111yescharacteristic, complemented
358#1438C2×C1111yescharacteristic, complemented
359#1436C2×C1111yescharacteristic, complemented
360C23×C11—22no—
361C23×C11—22no—
362C23×C11—22no—
363C23×C11—22no—
364C23×C11—22no—
365C23×C11—22no—
366C23×C11—22no—
367C23×C11—22no—
368C23×C11—22no—
369C23×C11—22no—
370C23×C11—22no—
371C23×C11—22no—
372C23×C11—22no—
373C23×C11—22no—
374C23×C11—22no—
375C23×C11—22no—
376C23×C11—22no—
377C23×C11—22no—
378C23×C11—22no—
379C23×C11—22no—
380C23×C11—22no—
381C23×C11—41no—
382C23×C11—41no—
383C23×C11—41no—
384C23×C11—41no—
385C23×C11—41no—
386C23×C11—41no—
387C23×C11—41no—
388C23×C11—41no—
389C23×C11—41no—
390C23×C11—41no—
391C23×C11—41no—
392C23×C11—41no—
393C23×C11—41no—
394C23×C11—41no—
395C23×C11—41no—
396C23×C11—41no—
397C23×C11—41no—
398C23×C11—41no—
399C23×C11—41no—
400C23×C11—41no—
401C23×C11—41no—
402C23×C11—41no—
403C23×C11—41no—
404C23×C11—41no—
405C23×C11—41no—
406C23×C11—41no—
407C23×C11—41no—
408C23×C11—41no—
409C23×C11—41no—
410C23×C11—41no—
411C23×C11—41no—
412C23×C11—41no—
413C23×C11—41no—
414C23×C11—41no—
415C23×C11—41no—
416C23×C11—41no—
417C23×C11—41no—
418C23×C11—41no—
419C23×C11—41no—
420C23×C11—41no—
421C23×C11—41no—
422C23×C11—41no—
423C23×C11—41no—
424C23×C11—41no—
425C23×C11—41no—
426C23×C11—41no—
427C23×C11—41no—
428C23×C11—41no—
429C23×C11—41no—
430C23×C11—41no—
431C23×C11—41no—
432C23×C11—41no—
433C23×C11—41no—
434C23×C11—41no—
435C23×C11—41no—
436C23×C11—41no—
437C23×C11—41no—
438C23×C11—41no—
439C23×C11—41no—
440C23×C11—41no—
441C23×C11—41no—
442C23×C11—41no—
443C23×C11—41no—
444C23×C11—41no—
445C23×C11—41no—
446C23×C11—41no—
447C23×C11—41no—
448C23×C11—41no—
449C23×C11—41no—
450C23×C11—41no—
451C23×C11—41no—
452C23×C11—41no—
453C23×C11—41no—
454C23×C11—41no—
455C23×C11—41no—
456C23×C11—41no—
457C23×C11—41no—
458C23×C11—41no—
459C23×C11—41no—
460C23×C11—41no—
461C23×C11—41no—
462C23×C11—41no—
463C23×C11—41no—
464C23×C11—41no—
465C23×C11C22×D411yescharacteristic
466C23×C11C22×D411yescharacteristic
467C23×C11C22×D411yescharacteristic
468C23×C11C22×D411yescharacteristic
469C23×C11C2×#4111yescharacteristic
470C23×C11C2×#4111yescharacteristic
471C23×C11C2×#4111yescharacteristic
472C23×C11H(5,𝔽2)11yescharacteristic
473C23×C11H(5,𝔽2)11yescharacteristic
474C23×C11H(5,𝔽2)11yescharacteristic
475C23×C11H(5,𝔽2)11yescharacteristic
476C23×C11H(5,𝔽2)11yescharacteristic
477C23×C11H(5,𝔽2)11yescharacteristic
478C23×C112−1+411yescharacteristic
479C23×C112−1+411yescharacteristic
480D4×C11—416no—
481D4×C11—416no—
482D4×C11—416no—
483C2×C4×C11—22no—
484C2×C4×C11—22no—
485C2×C4×C11—22no—
486C2×C4×C11—22no—
487C2×C4×C11—22no—
488C2×C4×C11—22no—
489C2×C4×C11—22no—
490C2×C4×C11—22no—
491C2×C4×C11—22no—
492C2×C4×C11—22no—
493C2×C4×C11—22no—
494C2×C4×C11—22no—
495C2×C4×C11—22no—
496C2×C4×C11—22no—
497C2×C4×C11—22no—
498C2×C4×C11—22no—
499C2×C4×C11—22no—
500C2×C4×C11—22no—
501C2×C4×C11—22no—
502C2×C4×C11—22no—
503C2×C4×C11—22no—
504C2×C4×C11—22no—
505C2×C4×C11—22no—
506C2×C4×C11—22no—
507C2×C4×C11—22no—
508C2×C4×C11—22no—
509C2×C4×C11—22no—
510C2×C4×C11—22no—
511C2×C4×C11—22no—
512C2×C4×C11—22no—
513C2×C4×C11—22no—
514C2×C4×C11—22no—
515C2×C4×C11—22no—
516C2×C4×C11—41no—
517C2×C4×C11—41no—
518C2×C4×C11—41no—
519C2×C4×C11—41no—
520C2×C4×C11—41no—
521C2×C4×C11—41no—
522C2×C4×C11—41no—
523C2×C4×C11—41no—
524C2×C4×C11—41no—
525C2×C4×C11—41no—
526C2×C4×C11—41no—
527C2×C4×C11—41no—
528C2×C4×C11—41no—
529C2×C4×C11—41no—
530C2×C4×C11—41no—
531C2×C4×C11—41no—
532C2×C4×C11—41no—
533C2×C4×C11—41no—
534C2×C4×C11—41no—
535C2×C4×C11—41no—
536C2×C4×C11—41no—
537C2×C4×C11—41no—
538C2×C4×C11—41no—
539C2×C4×C11—41no—
540C2×C4×C11—41no—
541C2×C4×C11—41no—
542C2×C4×C11—41no—
543C2×C4×C11—41no—
544C2×C4×C11—41no—
545C2×C4×C11—41no—
546C2×C4×C11—41no—
547C2×C4×C11—41no—
548C2×C4×C11—41no—
549C2×C4×C11—41no—
550C2×C4×C11—41no—
551C2×C4×C11—41no—
552C2×C4×C11—41no—
553C2×C4×C11—41no—
554C2×C4×C11—41no—
555C2×C4×C11—41no—
556C2×C4×C11—41no—
557C2×C4×C11—41no—
558C2×C4×C11—41no—
559C2×C4×C11—41no—
560C2×C4×C11—41no—
561C2×C4×C11—41no—
562C2×C4×C11—41no—
563C2×C4×C11—41no—
564C2×C4×C11—41no—
565C2×C4×C11—41no—
566C2×C4×C11#12114yes—
567C23×D4C22×C1111yescharacteristic
568C23×D4C22×C1111yescharacteristic
569C23×D4C22×C1111yescharacteristic
570C22×C4⋊C4C22×C1111yescharacteristic
571C22×C4⋊C4C22×C1111yescharacteristic
572C22×C4⋊C4C22×C1111yescharacteristic
573C22×C4⋊C4C22×C1111yescharacteristic
574C22×C4⋊C4C22×C1111yescharacteristic
575C22×C4⋊C4C22×C1111yescharacteristic
576C22×C22⋊C4C22×C1111yescharacteristic
577C22×C22⋊C4C22×C1111yescharacteristic
578C22×C22⋊C4C22×C1111yescharacteristic
579C22×C22⋊C4C22×C1111yescharacteristic
580C22×C22⋊C4C22×C1111yescharacteristic
581C22×C22⋊C4C22×C1111yescharacteristic
582C22×C22⋊C4C22×C1111yescharacteristic
583C22×C22⋊C4C22×C1111yescharacteristic
584C22×C22⋊C4C22×C1111yescharacteristic
585C22×C22⋊C4C22×C1111yescharacteristic
586C22×C22⋊C4C22×C1111yescharacteristic
587C22×C22⋊C4C22×C1111yescharacteristic
588C22×C22⋊C4C22×C1111yescharacteristic
589C22×C22⋊C4C22×C1111yescharacteristic
590C22×C22⋊C4C22×C1111yescharacteristic
591C22×C42C22×C1111yescharacteristic
592#396—24no—
593#396—24no—
594#394—24no—
595#394—24no—
596#394—24no—
597#392—24no—
598#390—24no—
599#388—24no—
600C2×#95C22×C1111yescharacteristic
601C2×#95C22×C1111yescharacteristic
602C2×#95C22×C1111yescharacteristic
603C2×#95C22×C1111yescharacteristic
604C2×#95C22×C1111yescharacteristic
605C2×#95C22×C1111yescharacteristic
606C2×#95C22×C1111yescharacteristic
607C2×#95C22×C1111yescharacteristic
608C2×#95C22×C1111yescharacteristic
609C2×#95C22×C1111yescharacteristic
610C22×C11—42no—
611C22×C11—42no—
612C22×C11—42no—
613C22×C11—42no—
614C22×C11—42no—
615C22×C11—42no—
616C22×C11—42no—
617C22×C11—42no—
618C22×C11—42no—
619C22×C11—42no—
620C22×C11—42no—
621C22×C11—42no—
622C22×C11—42no—
623C22×C11—42no—
624C22×C11—42no—
625C22×C11—42no—
626C22×C11—42no—
627C22×C11—42no—
628C22×C11—42no—
629C22×C11—42no—
630C22×C11—42no—
631C22×C11—81no—
632C22×C11—81no—
633C22×C11—81no—
634C22×C11—81no—
635C22×C11—81no—
636C22×C11—81no—
637C22×C11—81no—
638C22×C11—81no—
639C22×C11—81no—
640C22×C11—81no—
641C22×C11—81no—
642C22×C11—81no—
643C22×C11—81no—
644C22×C11—81no—
645C22×C11—81no—
646C22×C11—81no—
647C22×C11—81no—
648C22×C11—81no—
649C22×C11—81no—
650C22×C11—81no—
651C22×C11—81no—
652C22×C11—81no—
653C22×C11—81no—
654C22×C11—81no—
655C22×C11C2×#12111yescharacteristic
656C22×C11#52511yescharacteristic
657C22×C11#53211yescharacteristic
658C22×C11#53411yescharacteristic
659C22×C11#53511yescharacteristic
660C22×C11#53511yescharacteristic
661C22×C11#53611yescharacteristic
662C22×C11#53711yescharacteristic
663C22×C11#53711yescharacteristic
664C22×C11#53711yescharacteristic
665C22×C11#53711yescharacteristic
666C22×C11#53811yescharacteristic
667C22×C11#53811yescharacteristic
668C22×C11#53811yescharacteristic
669C22×C11#53911yescharacteristic
670C22×C11#54011yescharacteristic
671C22×C11#54211yescharacteristic
672C22×C11#54211yescharacteristic
673C22×C11#54211yescharacteristic
674C22×C11D4211yescharacteristic
675C22×C11D4211yescharacteristic
676C22×C11D4211yescharacteristic
677C22×C11D4211yescharacteristic
678C22×C11D4211yescharacteristic
679C22×C11#54611yescharacteristic
680C22×C11#54611yescharacteristic
681C22×C11#54611yescharacteristic
682C22×C11#54711yescharacteristic
683C22×C11#54811yescharacteristic
684C22×C11#55011yescharacteristic
685C22×C11#55111yescharacteristic
686C22×C11#56011yescharacteristic
687C22×C11#56011yescharacteristic
688C22×C11#56211yescharacteristic
689C22×C11#56211yescharacteristic
690C4×C11—24no—
691C4×C11—42no—
692C4×C11—42no—
693C4×C11—42no—
694C4×C11—42no—
695C4×C11—42no—
696C4×C11—42no—
697C4×C11—42no—
698C4×C11—42no—
699C4×C11—42no—
700C4×C11—81no—
701C4×C11—81no—
702C25C23×C1111yescharacteristic
703C25C23×C1111yescharacteristic
704C25C23×C1111yescharacteristic
705C22×D4—22no—
706C22×D4—22no—
707C22×D4—22no—
708C22×D4—22no—
709C22×D4—22no—
710C22×D4—22no—
711C22×D4—22no—
712C22×D4—22no—
713C22×D4—22no—
714C22×D4—22no—
715C22×D4—22no—
716C22×D4—41no—
717C22×D4—41no—
718C22×D4—41no—
719C22×D4—41no—
720C22×D4—41no—
721C22×D4—41no—
722C22×D4—41no—
723C22×D4—41no—
724C22×D4—41no—
725C22×D4—41no—
726C23×C4C23×C1111yescharacteristic
727C23×C4C23×C1111yescharacteristic
728C23×C4C23×C1111yescharacteristic
729C23×C4C23×C1111yescharacteristic
730C23×C4C23×C1111yescharacteristic
731C23×C4C23×C1111yescharacteristic
732C23×C4C23×C1111yescharacteristic
733C23×C4C23×C1111yescharacteristic
734C23×C4C23×C1111yescharacteristic
735C23×C4C23×C1111yescharacteristic
736C23×C4C23×C1111yescharacteristic
737C23×C4C23×C1111yescharacteristic
738C2×C4⋊C4—22no—
739C2×C4⋊C4—22no—
740C2×C4⋊C4—22no—
741C2×C4⋊C4—22no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—22no—
745C2×C4⋊C4—22no—
746C2×C4⋊C4—22no—
747C2×C4⋊C4—22no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—41no—
751C2×C4⋊C4—41no—
752C2×C4⋊C4—41no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—41no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4D4×C1114yes—
800C2×C22⋊C4D4×C1114yescomplemented
801C2×C42—22no—
802C2×C42—22no—
803C2×C42—41no—
804#95—22no—
805#95—22no—
806#95—22no—
807#95—22no—
808#95—22no—
809#95—41no—
810#95—41no—
811#95—41no—
812#95D4×C1114yescomplemented
813#95D4×C1114yescomplemented
814C2×C11—82no—
815C2×C11—82no—
816C2×C11—82no—
817C2×C11#242411yescharacteristic
818C2×C11#242811yescharacteristic
819C2×C11#246111yescharacteristic
820C2×C11#262011yescharacteristic
821C2×C11#263011yescharacteristic
822C2×C11#266211yescharacteristic
823C2×C11#266911yescharacteristic
824C2×C11#267211yescharacteristic
825C2×C11#267511yescharacteristic
826C2×C11#267611yescharacteristic
827C2×C11#268111yescharacteristic
828C2×C11#268211yescharacteristic
829C2×C11#268511yescharacteristic
830C2×C11#270511yescharacteristic
831C2×C11#282911yescharacteristic
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24C2×D4×C1112yes—
875C24C2×D4×C1112yes—
876C24C11×#4112yes—
877C24C24×C1111yescharacteristic
878C2×D4—28no—
879C2×D4—44no—
880C2×D4—44no—
881C2×D4—44no—
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—44no—
885C2×D4—44no—
886C2×D4—44no—
887C2×D4—44no—
888C2×D4—44no—
889C2×D4—44no—
890C2×D4—44no—
891C2×D4—44no—
892C2×D4—44no—
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4—44no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4C2×D4×C1112yes—
972C22×C4C2×D4×C1112yes—
973C22×C4C2×D4×C1112yes—
974C22×C4C2×D4×C1112yes—
975C22×C4C2×D4×C1112yes—
976C22×C4C2×D4×C1112yes—
977C22×C4C2×D4×C1112yes—
978C22×C4C2×D4×C1112yes—
979C22×C4C2×D4×C1112yes—
980C22×C4C2×D4×C1112yes—
981C22×C4C11×#4112yes—
982C22×C4C11×#4112yes—
983C4⋊C4—44no—
984C4⋊C4—44no—
985C4⋊C4—44no—
986C4⋊C4—44no—
987C4⋊C4—44no—
988C4⋊C4—44no—
989C22⋊C4—28no—
990C22⋊C4—44no—
991C22⋊C4—44no—
992C22⋊C4—44no—
993C22⋊C4—44no—
994C22⋊C4—44no—
995C22⋊C4—44no—
996C22⋊C4—44no—
997C22⋊C4—44no—
998C22⋊C4—44no—
999C22⋊C4—44no—
1000C22⋊C4—44no—
1001C22⋊C4—44no—
1002C22⋊C4—44no—
1003C22⋊C4—44no—
1004C42—44no—
1005C11#1629011yescharacteristic, direct product factor, Sylow
1006C23—22no—
1007C23—22no—
1008C23—22no—
1009C23—22no—
1010C23—22no—
1011C23—22no—
1012C23—22no—
1013C23—22no—
1014C23—22no—
1015C23—22no—
1016C23—22no—
1017C23—22no—
1018C23—22no—
1019C23—22no—
1020C23—22no—
1021C23—22no—
1022C23—22no—
1023C23—22no—
1024C23—22no—
1025C23—22no—
1026C23—22no—
1027C23—41no—
1028C23—41no—
1029C23—41no—
1030C23—41no—
1031C23—41no—
1032C23—41no—
1033C23—41no—
1034C23—41no—
1035C23—41no—
1036C23—41no—
1037C23—41no—
1038C23—41no—
1039C23—41no—
1040C23—41no—
1041C23—41no—
1042C23—41no—
1043C23—41no—
1044C23—41no—
1045C23—41no—
1046C23—41no—
1047C23—41no—
1048C23—41no—
1049C23—41no—
1050C23—41no—
1051C23—41no—
1052C23—41no—
1053C23—41no—
1054C23—41no—
1055C23—41no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—41no—
1060C23—41no—
1061C23—41no—
1062C23—41no—
1063C23—41no—
1064C23—41no—
1065C23—41no—
1066C23—41no—
1067C23—41no—
1068C23—41no—
1069C23—41no—
1070C23—41no—
1071C23—41no—
1072C23—41no—
1073C23—41no—
1074C23—41no—
1075C23—41no—
1076C23—41no—
1077C23—41no—
1078C23—41no—
1079C23—41no—
1080C23—41no—
1081C23—41no—
1082C23—41no—
1083C23—41no—
1084C23—41no—
1085C23—41no—
1086C23—41no—
1087C23—41no—
1088C23—41no—
1089C23—41no—
1090C23—41no—
1091C23—41no—
1092C23—41no—
1093C23—41no—
1094C23—41no—
1095C23—41no—
1096C23—41no—
1097C23—41no—
1098C23—41no—
1099C23—41no—
1100C23—41no—
1101C23—41no—
1102C23—41no—
1103C23—41no—
1104C23—41no—
1105C23—41no—
1106C23—41no—
1107C23—41no—
1108C23—41no—
1109C23—41no—
1110C23—41no—
1111C23C22×D4×C1111yescharacteristic
1112C23C22×D4×C1111yescharacteristic
1113C23C22×D4×C1111yescharacteristic
1114C23C22×D4×C1111yescharacteristic
1115C23C2×C11×#4111yescharacteristic
1116C23C2×C11×#4111yescharacteristic
1117C23C2×C11×#4111yescharacteristic
1118C23C11×H(5,𝔽2)11yescharacteristic
1119C23C11×H(5,𝔽2)11yescharacteristic
1120C23C11×H(5,𝔽2)11yescharacteristic
1121C23C11×H(5,𝔽2)11yescharacteristic
1122C23C11×H(5,𝔽2)11yescharacteristic
1123C23C11×H(5,𝔽2)11yescharacteristic
1124C23C11×2−1+411yescharacteristic
1125C23C11×2−1+411yescharacteristic
1126D4—416no—
1127D4—416no—
1128D4—416no—
1129C2×C4—22no—
1130C2×C4—22no—
1131C2×C4—22no—
1132C2×C4—22no—
1133C2×C4—22no—
1134C2×C4—22no—
1135C2×C4—22no—
1136C2×C4—22no—
1137C2×C4—22no—
1138C2×C4—22no—
1139C2×C4—22no—
1140C2×C4—22no—
1141C2×C4—22no—
1142C2×C4—22no—
1143C2×C4—22no—
1144C2×C4—22no—
1145C2×C4—22no—
1146C2×C4—22no—
1147C2×C4—22no—
1148C2×C4—22no—
1149C2×C4—22no—
1150C2×C4—22no—
1151C2×C4—22no—
1152C2×C4—22no—
1153C2×C4—22no—
1154C2×C4—22no—
1155C2×C4—22no—
1156C2×C4—22no—
1157C2×C4—22no—
1158C2×C4—22no—
1159C2×C4—22no—
1160C2×C4—22no—
1161C2×C4—22no—
1162C2×C4—41no—
1163C2×C4—41no—
1164C2×C4—41no—
1165C2×C4—41no—
1166C2×C4—41no—
1167C2×C4—41no—
1168C2×C4—41no—
1169C2×C4—41no—
1170C2×C4—41no—
1171C2×C4—41no—
1172C2×C4—41no—
1173C2×C4—41no—
1174C2×C4—41no—
1175C2×C4—41no—
1176C2×C4—41no—
1177C2×C4—41no—
1178C2×C4—41no—
1179C2×C4—41no—
1180C2×C4—41no—
1181C2×C4—41no—
1182C2×C4—41no—
1183C2×C4—41no—
1184C2×C4—41no—
1185C2×C4—41no—
1186C2×C4—41no—
1187C2×C4—41no—
1188C2×C4—41no—
1189C2×C4—41no—
1190C2×C4—41no—
1191C2×C4—41no—
1192C2×C4—41no—
1193C2×C4—41no—
1194C2×C4—41no—
1195C2×C4—41no—
1196C2×C4—41no—
1197C2×C4—41no—
1198C2×C4—41no—
1199C2×C4—41no—
1200C2×C4—41no—
1201C2×C4—41no—
1202C2×C4—41no—
1203C2×C4—41no—
1204C2×C4—41no—
1205C2×C4—41no—
1206C2×C4—41no—
1207C2×C4—41no—
1208C2×C4—41no—
1209C2×C4—41no—
1210C2×C4—41no—
1211C2×C4—41no—
1212C2×C4C11×#12114yes—
1213C22—42no—
1214C22—42no—
1215C22—42no—
1216C22—42no—
1217C22—42no—
1218C22—42no—
1219C22—42no—
1220C22—42no—
1221C22—42no—
1222C22—42no—
1223C22—42no—
1224C22—42no—
1225C22—42no—
1226C22—42no—
1227C22—42no—
1228C22—42no—
1229C22—42no—
1230C22—42no—
1231C22—42no—
1232C22—42no—
1233C22—42no—
1234C22—81no—
1235C22—81no—
1236C22—81no—
1237C22—81no—
1238C22—81no—
1239C22—81no—
1240C22—81no—
1241C22—81no—
1242C22—81no—
1243C22—81no—
1244C22—81no—
1245C22—81no—
1246C22—81no—
1247C22—81no—
1248C22—81no—
1249C22—81no—
1250C22—81no—
1251C22—81no—
1252C22—81no—
1253C22—81no—
1254C22—81no—
1255C22—81no—
1256C22—81no—
1257C22—81no—
1258C22C2×C11×#12111yescharacteristic
1259C22C11×#52511yescharacteristic
1260C22C11×#53211yescharacteristic
1261C22C11×#53411yescharacteristic
1262C22C11×#53511yescharacteristic
1263C22C11×#53511yescharacteristic
1264C22C11×#53611yescharacteristic
1265C22C11×#53711yescharacteristic
1266C22C11×#53711yescharacteristic
1267C22C11×#53711yescharacteristic
1268C22C11×#53711yescharacteristic
1269C22C11×#53811yescharacteristic
1270C22C11×#53811yescharacteristic
1271C22C11×#53811yescharacteristic
1272C22C11×#53911yescharacteristic
1273C22C11×#54011yescharacteristic
1274C22C11×#54211yescharacteristic
1275C22C11×#54211yescharacteristic
1276C22C11×#54211yescharacteristic
1277C22D42×C1111yescharacteristic
1278C22D42×C1111yescharacteristic
1279C22D42×C1111yescharacteristic
1280C22D42×C1111yescharacteristic
1281C22D42×C1111yescharacteristic
1282C22C11×#54611yescharacteristic
1283C22C11×#54611yescharacteristic
1284C22C11×#54611yescharacteristic
1285C22C11×#54711yescharacteristic
1286C22C11×#54811yescharacteristic
1287C22C11×#55011yescharacteristic
1288C22C11×#55111yescharacteristic
1289C22C11×#56011yescharacteristic
1290C22C11×#56011yescharacteristic
1291C22C11×#56211yescharacteristic
1292C22C11×#56211yescharacteristic
1293C4—24no—
1294C4—42no—
1295C4—42no—
1296C4—42no—
1297C4—42no—
1298C4—42no—
1299C4—42no—
1300C4—42no—
1301C4—42no—
1302C4—42no—
1303C4—81no—
1304C4—81no—
1305C2—82no—
1306C2—82no—
1307C2—82no—
1308C2C11×#242411yescharacteristic
1309C2C11×#242811yescharacteristic
1310C2C11×#246111yescharacteristic
1311C2C11×#262011yescharacteristic
1312C2C11×#263011yescharacteristic
1313C2C11×#266211yescharacteristic
1314C2C11×#266911yescharacteristic
1315C2C11×#267211yescharacteristic
1316C2C11×#267511yescharacteristic
1317C2C11×#267611yescharacteristic
1318C2C11×#268111yescharacteristic
1319C2C11×#268211yescharacteristic
1320C2C11×#268511yescharacteristic
1321C2C11×#270511yescharacteristic
1322C2C11×#282911yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutator, Frattini, cosocleC24C24×C11
prime radicalC2×C11×#392C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#396C2semidirect
2. C2×C11×#396C2semidirect
3. C2×C11×#394C2semidirect
4. C2×C11×#394C2semidirect
5. C2×C11×#394C2semidirect
7. C2×C11×#390C2semidirect
8. C2×C11×#388C2semidirect
9. C11×#1444C2semidirect
10. C11×#1439C2semidirect
11. C11×#1439C2semidirect
12. C11×#1439C2semidirect
13. C11×#1438C2semidirect
14. C11×#1438C2semidirect
15. C11×#1436C2semidirect
157. C2×C11×C22⋊C4D4semidirect
169. C11×#95D4semidirect
170. C11×#95D4semidirect
171. #16290C11direct (N × H)
345. C2×#396C2×C11semidirect
346. C2×#396C2×C11semidirect
347. C2×#394C2×C11semidirect
348. C2×#394C2×C11semidirect
349. C2×#394C2×C11semidirect
351. C2×#390C2×C11semidirect
352. C2×#388C2×C11semidirect
353. #1444C2×C11semidirect
354. #1439C2×C11semidirect
355. #1439C2×C11semidirect
356. #1439C2×C11semidirect
357. #1438C2×C11semidirect
358. #1438C2×C11semidirect
359. #1436C2×C11semidirect
800. C2×C22⋊C4D4×C11semidirect
812. #95D4×C11semidirect
813. #95D4×C11semidirect
1005. C11#16290direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3962
C2×C11×#3942
C2×C11×#3922
C2×C11×#3902
C2×C11×#3882
C11×#14442
C11×#14392
C11×#14382
C11×#14362
#1629011