Finite Group Databasebeta

← C11×#14047 #14591240

Subgroups — C11×#14047 #14591240

Order 2816.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#387C211yesmaximal, characteristic, complemented
2C2×C11×#385C211yesmaximal, characteristic
3C2×C11×#380C211yesmaximal, characteristic
4C2×C4×C11×C22⋊C4C211yesmaximal, characteristic
5C22×C11×#95C211yesmaximal, characteristic
6C11×#1445C211yesmaximal, characteristic, complemented
7C11×#1443C211yesmaximal, characteristic, complemented
8C11×#1442C211yesmaximal, characteristic, complemented
9C11×#1441C211yesmaximal, characteristic, complemented
10C11×#1436C211yesmaximal, characteristic, complemented
11C11×#1436C211yesmaximal, characteristic, complemented
12C11×#1434C211yesmaximal, characteristic, complemented
13C11×C22⋊#95C211yesmaximal, characteristic
14C11×C22⋊#95C211yesmaximal, characteristic
15C11×C22⋊#95C211yesmaximal, characteristic
16C24×C4×C11C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C24×C4×C11C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4C2211yescharacteristic
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2211yescharacteristic
27C22×C42×C11C2211yescharacteristic
28C22×C42×C11C2211yescharacteristic
29C11×#387—24no—
30C11×#385—24no—
31C11×#380C418yescomplemented
32C4×C11×C22⋊C4—24no—
33C2×C11×#95—24no—
34C2×C11×#95C2211yescharacteristic
35C2×C11×#95C2211yescharacteristic
36C2×C11×#95C2211yescharacteristic
37C2×C11×#95C2211yescharacteristic
38C2×C11×#95C2211yescharacteristic
39C2×C11×#95C2211yescharacteristic
40C2×C11×#95C2211yescharacteristic
41C2×C11×#95C2211yescharacteristic
42C2×C11×#95C2211yescharacteristic
43C2×C11×#95C2211yescharacteristic
44C2×C11×#95C2211yescharacteristic
45C2×C11×#95C2211yescharacteristic
46C2×C11×#95C2211yescharacteristic
47C2×C11×#95C2211yescharacteristic
48C2×C11×#95C2211yescharacteristic
49C2×C11×#95C2211yescharacteristic
50C2×C11×#95C2211yescharacteristic
51C2×C11×#95C2211yescharacteristic
52C2×C11×#95C2211yescharacteristic
53C2×C11×#95C2211yescharacteristic
54C2×C11×#95C2211yescharacteristic
55C2×C11×#95C2211yescharacteristic
56C25×C11C2311yescharacteristic
57C23×C4×C11—22no—
58C23×C4×C11—22no—
59C23×C4×C11—22no—
60C23×C4×C11—22no—
61C23×C4×C11—22no—
62C23×C4×C11—22no—
63C23×C4×C11—22no—
64C23×C4×C11—22no—
65C23×C4×C11—22no—
66C23×C4×C11—22no—
67C23×C4×C11—22no—
68C23×C4×C11—22no—
69C23×C4×C11—22no—
70C23×C4×C11—41no—
71C23×C4×C11—41no—
72C23×C4×C11—41no—
73C23×C4×C11—41no—
74C23×C4×C11—41no—
75C23×C4×C11—41no—
76C23×C4×C11C2×C414yes—
77C23×C4×C11D414yes—
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
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
92C2×C11×C4⋊C4—22no—
93C2×C11×C4⋊C4—22no—
94C2×C11×C4⋊C4—22no—
95C2×C11×C4⋊C4—22no—
96C2×C11×C4⋊C4—22no—
97C2×C11×C4⋊C4—22no—
98C2×C11×C4⋊C4—41no—
99C2×C11×C4⋊C4—41no—
100C2×C11×C4⋊C4—41no—
101C2×C11×C4⋊C4—41no—
102C2×C11×C4⋊C4C2×C414yescomplemented
103C2×C11×C4⋊C4C2×C414yescomplemented
104C2×C11×C22⋊C4—22no—
105C2×C11×C22⋊C4—22no—
106C2×C11×C22⋊C4—22no—
107C2×C11×C22⋊C4—22no—
108C2×C11×C22⋊C4—22no—
109C2×C11×C22⋊C4—22no—
110C2×C11×C22⋊C4—22no—
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4—22no—
113C2×C11×C22⋊C4C2×C414yes—
114C2×C11×C22⋊C4C2×C414yes—
115C2×C11×C22⋊C4Q814yes—
116C2×C42×C11—22no—
117C2×C42×C11—22no—
118C2×C42×C11—22no—
119C2×C42×C11—22no—
120C2×C42×C11—41no—
121C2×C42×C11—41no—
122C11×#95—22no—
123C11×#95—22no—
124C11×#95—22no—
125C11×#95—22no—
126C11×#95—22no—
127C11×#95—22no—
128C11×#95—22no—
129C11×#95—22no—
130C11×#95—22no—
131C11×#95—22no—
132C11×#95—22no—
133C11×#95—22no—
134C11×#95—22no—
135C11×#95—41no—
136C11×#95—41no—
137C11×#95—41no—
138C11×#95—41no—
139C11×#95—41no—
140C11×#95—41no—
141C11×#95C2×C414yescomplemented
142C11×#95C2×C414yescomplemented
143C11×#95D414yes—
144#14047C1111yesmaximal, characteristic, direct product factor, Sylow
145C24×C11—21no—
146C24×C11—21no—
147C24×C11—21no—
148C24×C11—21no—
149C24×C11—21no—
150C24×C11—21no—
151C24×C11—21no—
152C24×C11—21no—
153C24×C11C22×C412yes—
154C24×C11C2×D412yes—
155C24×C11C2×Q812yes—
156C24×C11#4112yes—
157C24×C11#4112yes—
158C24×C11#4112yes—
159C24×C11#4112yes—
160C24×C11C2411yescharacteristic
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—21no—
169C22×C4×C11—28no—
170C22×C4×C11—28no—
171C22×C4×C11—28no—
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—21no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11—21no—
198C22×C4×C11—21no—
199C22×C4×C11—21no—
200C22×C4×C11—21no—
201C22×C4×C11—21no—
202C22×C4×C11—21no—
203C22×C4×C11—21no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11—21no—
207C22×C4×C11—21no—
208C22×C4×C11—21no—
209C22×C4×C11—21no—
210C22×C4×C11—21no—
211C22×C4×C11—21no—
212C22×C4×C11—21no—
213C22×C4×C11—21no—
214C22×C4×C11—21no—
215C22×C4×C11—21no—
216C22×C4×C11—21no—
217C22×C4×C11—21no—
218C22×C4×C11—21no—
219C22×C4×C11—21no—
220C22×C4×C11—21no—
221C22×C4×C11—21no—
222C22×C4×C11—21no—
223C22×C4×C11—21no—
224C22×C4×C11—21no—
225C22×C4×C11—21no—
226C22×C4×C11—21no—
227C22×C4×C11—21no—
228C22×C4×C11—21no—
229C22×C4×C11—21no—
230C22×C4×C11—21no—
231C22×C4×C11—21no—
232C22×C4×C11—28no—
233C22×C4×C11—28no—
234C22×C4×C11—21no—
235C22×C4×C11—21no—
236C22×C4×C11—21no—
237C22×C4×C11—21no—
238C22×C4×C11—21no—
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—44no—
249C22×C4×C11—44no—
250C22×C4×C11—44no—
251C22×C4×C11—44no—
252C22×C4×C11—44no—
253C22×C4×C11—44no—
254C22×C4×C11—44no—
255C22×C4×C11—44no—
256C22×C4×C11—44no—
257C22×C4×C11—44no—
258C22×C4×C11—44no—
259C22×C4×C11—44no—
260C22×C4×C11—44no—
261C22×C4×C11—44no—
262C22×C4×C11—44no—
263C22×C4×C11—44no—
264C22×C4×C11C22×C412yes—
265C22×C4×C11C22×C412yes—
266C22×C4×C11C22×C412yes—
267C22×C4×C11C22×C412yes—
268C22×C4×C11C22×C412yes—
269C22×C4×C11C22×C412yes—
270C22×C4×C11C2×D412yes—
271C22×C4×C11C2×D412yes—
272C22×C4×C11C2×D412yes—
273C22×C4×C11C2×D412yes—
274C22×C4×C11C2×D412yes—
275C22×C4×C11C2×Q812yes—
276C22×C4×C11C2×Q812yes—
277C22×C4×C11#4112yes—
278C22×C4×C11#4112yes—
279C22×C4×C11#4112yes—
280C11×C4⋊C4—28no—
281C11×C4⋊C4—44no—
282C11×C4⋊C4—44no—
283C11×C4⋊C4—44no—
284C11×C22⋊C4—28no—
285C11×C22⋊C4—28no—
286C11×C22⋊C4—28no—
287C11×C22⋊C4—44no—
288C42×C11—44no—
289C42×C11—44no—
290C2×#387C2×C1111yescharacteristic, complemented
291C2×#385C2×C1111yescharacteristic
292C2×#380C2×C1111yescharacteristic
293C2×C4×C22⋊C4C2×C1111yescharacteristic
294C22×#95C2×C1111yescharacteristic
295#1445C2×C1111yescharacteristic, complemented
296#1443C2×C1111yescharacteristic, complemented
297#1442C2×C1111yescharacteristic, complemented
298#1441C2×C1111yescharacteristic, complemented
299#1436C2×C1111yescharacteristic, complemented
300#1436C2×C1111yescharacteristic, complemented
301#1434C2×C1111yescharacteristic, complemented
302C22⋊#95C2×C1111yescharacteristic
303C22⋊#95C2×C1111yescharacteristic
304C22⋊#95C2×C1111yescharacteristic
305C23×C11—22no—
306C23×C11—22no—
307C23×C11—22no—
308C23×C11—22no—
309C23×C11—22no—
310C23×C11—22no—
311C23×C11—22no—
312C23×C11—22no—
313C23×C11—22no—
314C23×C11—22no—
315C23×C11—22no—
316C23×C11—22no—
317C23×C11—22no—
318C23×C11—22no—
319C23×C11—22no—
320C23×C11—22no—
321C23×C11—22no—
322C23×C11—22no—
323C23×C11—22no—
324C23×C11—22no—
325C23×C11—22no—
326C23×C11—22no—
327C23×C11—22no—
328C23×C11—22no—
329C23×C11—22no—
330C23×C11—22no—
331C23×C11—22no—
332C23×C11—22no—
333C23×C11#11714yes—
334C23×C11C4×D414yes—
335C23×C11C4×Q814yes—
336C23×C11C22⋊Q814yes—
337C23×C11#12314yes—
338C23×C11#12514yes—
339C23×C11#12614yes—
340C23×C11C23×C411yescharacteristic
341C23×C11C22×D411yescharacteristic
342C23×C11C22×D411yescharacteristic
343C23×C11C22×Q811yescharacteristic
344C23×C11C2×#4111yescharacteristic
345C23×C11C2×#4111yescharacteristic
346C23×C11C2×#4111yescharacteristic
347C23×C11C2×#4111yescharacteristic
348C23×C11C2×#4111yescharacteristic
349C23×C11C2×#4111yescharacteristic
350C23×C11C2×#4111yescharacteristic
351C23×C11H(5,𝔽2)11yescharacteristic
352C23×C11H(5,𝔽2)11yescharacteristic
353C23×C11H(5,𝔽2)11yescharacteristic
354C23×C112−1+411yescharacteristic
355C2×C4×C11—22no—
356C2×C4×C11—22no—
357C2×C4×C11—22no—
358C2×C4×C11—22no—
359C2×C4×C11—22no—
360C2×C4×C11—22no—
361C2×C4×C11—22no—
362C2×C4×C11—22no—
363C2×C4×C11—22no—
364C2×C4×C11—22no—
365C2×C4×C11—22no—
366C2×C4×C11—22no—
367C2×C4×C11—22no—
368C2×C4×C11—22no—
369C2×C4×C11—22no—
370C2×C4×C11—22no—
371C2×C4×C11—22no—
372C2×C4×C11—22no—
373C2×C4×C11—22no—
374C2×C4×C11—22no—
375C2×C4×C11—22no—
376C2×C4×C11—22no—
377C2×C4×C11—22no—
378C2×C4×C11—22no—
379C2×C4×C11—22no—
380C2×C4×C11—22no—
381C2×C4×C11—22no—
382C2×C4×C11—22no—
383C2×C4×C11—22no—
384C2×C4×C11—22no—
385C2×C4×C11—22no—
386C2×C4×C11—22no—
387C2×C4×C11—22no—
388C2×C4×C11—22no—
389C2×C4×C11—22no—
390C2×C4×C11—22no—
391C2×C4×C11—22no—
392C2×C4×C11—22no—
393C2×C4×C11—22no—
394C2×C4×C11—22no—
395C2×C4×C11—22no—
396C2×C4×C11—22no—
397C2×C4×C11—416no—
398C2×C4×C11—416no—
399C2×C4×C11—416no—
400C2×C4×C11—41no—
401C2×C4×C11—41no—
402C2×C4×C11—41no—
403C2×C4×C11—41no—
404C2×C4×C11—41no—
405C2×C4×C11—41no—
406C2×C4×C11—41no—
407C2×C4×C11—41no—
408C2×C4×C11—41no—
409C2×C4×C11—41no—
410C2×C4×C11—41no—
411C2×C4×C11—41no—
412C2×C4×C11—41no—
413C2×C4×C11—41no—
414C2×C4×C11—41no—
415C2×C4×C11—41no—
416C2×C4×C11—41no—
417C2×C4×C11—41no—
418C2×C4×C11—41no—
419C2×C4×C11—41no—
420C2×C4×C11—41no—
421C2×C4×C11—41no—
422C2×C4×C11—41no—
423C2×C4×C11—41no—
424C2×C4×C11—41no—
425C2×C4×C11—41no—
426C2×C4×C11—41no—
427C2×C4×C11—41no—
428C2×C4×C11—41no—
429C2×C4×C11—41no—
430C2×C4×C11—41no—
431C2×C4×C11—41no—
432C2×C4×C11—41no—
433C2×C4×C11—41no—
434C2×C4×C11—41no—
435C2×C4×C11—41no—
436C2×C4×C11—41no—
437C2×C4×C11—41no—
438C2×C4×C11—41no—
439C2×C4×C11—41no—
440C2×C4×C11—41no—
441C2×C4×C11—41no—
442C2×C4×C11—41no—
443C2×C4×C11—41no—
444C2×C4×C11—41no—
445C2×C4×C11—41no—
446C2×C4×C11—41no—
447C2×C4×C11—41no—
448C2×C4×C11—41no—
449C2×C4×C11—41no—
450C2×C4×C11—41no—
451C2×C4×C11—41no—
452C2×C4×C11—41no—
453C2×C4×C11—41no—
454C2×C4×C11C4×D414yes—
455C2×C4×C11#12114yes—
456C24×C4C22×C1111yescharacteristic
457C24×C4C22×C1111yescharacteristic
458C24×C4C22×C1111yescharacteristic
459C22×C4⋊C4C22×C1111yescharacteristic
460C22×C4⋊C4C22×C1111yescharacteristic
461C22×C4⋊C4C22×C1111yescharacteristic
462C22×C4⋊C4C22×C1111yescharacteristic
463C22×C22⋊C4C22×C1111yescharacteristic
464C22×C22⋊C4C22×C1111yescharacteristic
465C22×C22⋊C4C22×C1111yescharacteristic
466C22×C22⋊C4C22×C1111yescharacteristic
467C22×C42C22×C1111yescharacteristic
468C22×C42C22×C1111yescharacteristic
469#387—24no—
470#385—24no—
471#380C4×C1118yescomplemented
472C4×C22⋊C4—24no—
473C2×#95—24no—
474C2×#95C22×C1111yescharacteristic
475C2×#95C22×C1111yescharacteristic
476C2×#95C22×C1111yescharacteristic
477C2×#95C22×C1111yescharacteristic
478C2×#95C22×C1111yescharacteristic
479C2×#95C22×C1111yescharacteristic
480C2×#95C22×C1111yescharacteristic
481C2×#95C22×C1111yescharacteristic
482C2×#95C22×C1111yescharacteristic
483C2×#95C22×C1111yescharacteristic
484C2×#95C22×C1111yescharacteristic
485C2×#95C22×C1111yescharacteristic
486C2×#95C22×C1111yescharacteristic
487C2×#95C22×C1111yescharacteristic
488C2×#95C22×C1111yescharacteristic
489C2×#95C22×C1111yescharacteristic
490C2×#95C22×C1111yescharacteristic
491C2×#95C22×C1111yescharacteristic
492C2×#95C22×C1111yescharacteristic
493C2×#95C22×C1111yescharacteristic
494C2×#95C22×C1111yescharacteristic
495C2×#95C22×C1111yescharacteristic
496C22×C11—24no—
497C22×C11—24no—
498C22×C11—24no—
499C22×C11—24no—
500C22×C11—24no—
501C22×C11—24no—
502C22×C11—24no—
503C22×C11—24no—
504C22×C11—24no—
505C22×C11—24no—
506C22×C11—24no—
507C22×C11—24no—
508C22×C11—24no—
509C22×C11—24no—
510C22×C11#38718yescomplemented
511C22×C11C2×#11711yescharacteristic
512C22×C11C2×C4×D411yescharacteristic
513C22×C11C2×C4×D411yescharacteristic
514C22×C11C2×C4×Q811yescharacteristic
515C22×C11C4×#4111yescharacteristic
516C22×C11#51811yescharacteristic
517C22×C11#52011yescharacteristic
518C22×C11C2×#12111yescharacteristic
519C22×C11C2×C22⋊Q811yescharacteristic
520C22×C11C2×#12311yescharacteristic
521C22×C11#52511yescharacteristic
522C22×C11C2×#12511yescharacteristic
523C22×C11C2×#12611yescharacteristic
524C22×C11#52911yescharacteristic
525C22×C11#53211yescharacteristic
526C22×C11#53411yescharacteristic
527C22×C11#53711yescharacteristic
528C22×C11#53811yescharacteristic
529C22×C11#53911yescharacteristic
530C22×C11#54611yescharacteristic
531C22×C11#54611yescharacteristic
532C22×C11#54611yescharacteristic
533C22×C11D4×Q811yescharacteristic
534C22×C11#55111yescharacteristic
535C22×C11#55111yescharacteristic
536C22×C11#55111yescharacteristic
537C22×C11#55111yescharacteristic
538C22×C11#55111yescharacteristic
539C22×C11#55111yescharacteristic
540C22×C11#55211yescharacteristic
541C22×C11#55211yescharacteristic
542C22×C11#55211yescharacteristic
543C22×C11#55411yescharacteristic
544C22×C11#55411yescharacteristic
545C22×C11#55411yescharacteristic
546C4×C11—24no—
547C4×C11—24no—
548C4×C11—42no—
549C4×C11—42no—
550C4×C11—42no—
551C4×C11—42no—
552C4×C11—42no—
553C4×C11—42no—
554C4×C11—42no—
555C4×C11—42no—
556C4×C11—42no—
557C4×C11—42no—
558C4×C11—81no—
559C4×C11—81no—
560C25C23×C1111yescharacteristic
561C23×C4—22no—
562C23×C4—22no—
563C23×C4—22no—
564C23×C4—22no—
565C23×C4—22no—
566C23×C4—22no—
567C23×C4—22no—
568C23×C4—22no—
569C23×C4—22no—
570C23×C4—22no—
571C23×C4—22no—
572C23×C4—22no—
573C23×C4—22no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4C2×C4×C1114yes—
581C23×C4D4×C1114yes—
582C23×C4C23×C1111yescharacteristic
583C23×C4C23×C1111yescharacteristic
584C23×C4C23×C1111yescharacteristic
585C23×C4C23×C1111yescharacteristic
586C23×C4C23×C1111yescharacteristic
587C23×C4C23×C1111yescharacteristic
588C23×C4C23×C1111yescharacteristic
589C23×C4C23×C1111yescharacteristic
590C23×C4C23×C1111yescharacteristic
591C23×C4C23×C1111yescharacteristic
592C23×C4C23×C1111yescharacteristic
593C23×C4C23×C1111yescharacteristic
594C23×C4C23×C1111yescharacteristic
595C23×C4C23×C1111yescharacteristic
596C2×C4⋊C4—22no—
597C2×C4⋊C4—22no—
598C2×C4⋊C4—22no—
599C2×C4⋊C4—22no—
600C2×C4⋊C4—22no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4—41no—
606C2×C4⋊C4C2×C4×C1114yescomplemented
607C2×C4⋊C4C2×C4×C1114yescomplemented
608C2×C22⋊C4—22no—
609C2×C22⋊C4—22no—
610C2×C22⋊C4—22no—
611C2×C22⋊C4—22no—
612C2×C22⋊C4—22no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—22no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4C2×C4×C1114yes—
618C2×C22⋊C4C2×C4×C1114yes—
619C2×C22⋊C4Q8×C1114yes—
620C2×C42—22no—
621C2×C42—22no—
622C2×C42—22no—
623C2×C42—22no—
624C2×C42—41no—
625C2×C42—41no—
626#95—22no—
627#95—22no—
628#95—22no—
629#95—22no—
630#95—22no—
631#95—22no—
632#95—22no—
633#95—22no—
634#95—22no—
635#95—22no—
636#95—22no—
637#95—22no—
638#95—22no—
639#95—41no—
640#95—41no—
641#95—41no—
642#95—41no—
643#95—41no—
644#95—41no—
645#95C2×C4×C1114yescomplemented
646#95C2×C4×C1114yescomplemented
647#95D4×C1114yes—
648C2×C11—28no—
649C2×C11C2×#38711yescharacteristic
650C2×C11C4×#12111yescharacteristic
651C2×C11#232511yescharacteristic
652C2×C11#234211yescharacteristic
653C2×C11#234311yescharacteristic
654C2×C11#236011yescharacteristic
655C2×C11#236811yescharacteristic
656C2×C11#241211yescharacteristic
657C2×C11#241711yescharacteristic
658C2×C11#247311yescharacteristic
659C2×C11#248011yescharacteristic
660C2×C11#249311yescharacteristic
661C2×C11#249811yescharacteristic
662C2×C11#250511yescharacteristic
663C2×C11#256411yescharacteristic
664C24—21no—
665C24—21no—
666C24—21no—
667C24—21no—
668C24—21no—
669C24—21no—
670C24—21no—
671C24—21no—
672C24C22×C4×C1112yes—
673C24C2×D4×C1112yes—
674C24C2×Q8×C1112yes—
675C24C11×#4112yes—
676C24C11×#4112yes—
677C24C11×#4112yes—
678C24C11×#4112yes—
679C24C24×C1111yescharacteristic
680C22×C4—21no—
681C22×C4—21no—
682C22×C4—21no—
683C22×C4—21no—
684C22×C4—21no—
685C22×C4—21no—
686C22×C4—21no—
687C22×C4—21no—
688C22×C4—28no—
689C22×C4—28no—
690C22×C4—28no—
691C22×C4—21no—
692C22×C4—21no—
693C22×C4—21no—
694C22×C4—21no—
695C22×C4—21no—
696C22×C4—21no—
697C22×C4—21no—
698C22×C4—21no—
699C22×C4—21no—
700C22×C4—21no—
701C22×C4—21no—
702C22×C4—21no—
703C22×C4—21no—
704C22×C4—21no—
705C22×C4—21no—
706C22×C4—21no—
707C22×C4—21no—
708C22×C4—21no—
709C22×C4—21no—
710C22×C4—21no—
711C22×C4—21no—
712C22×C4—21no—
713C22×C4—21no—
714C22×C4—21no—
715C22×C4—21no—
716C22×C4—21no—
717C22×C4—21no—
718C22×C4—21no—
719C22×C4—21no—
720C22×C4—21no—
721C22×C4—21no—
722C22×C4—21no—
723C22×C4—21no—
724C22×C4—21no—
725C22×C4—21no—
726C22×C4—21no—
727C22×C4—21no—
728C22×C4—21no—
729C22×C4—21no—
730C22×C4—21no—
731C22×C4—21no—
732C22×C4—21no—
733C22×C4—21no—
734C22×C4—21no—
735C22×C4—21no—
736C22×C4—21no—
737C22×C4—21no—
738C22×C4—21no—
739C22×C4—21no—
740C22×C4—21no—
741C22×C4—21no—
742C22×C4—21no—
743C22×C4—21no—
744C22×C4—21no—
745C22×C4—21no—
746C22×C4—21no—
747C22×C4—21no—
748C22×C4—21no—
749C22×C4—21no—
750C22×C4—21no—
751C22×C4—28no—
752C22×C4—28no—
753C22×C4—21no—
754C22×C4—21no—
755C22×C4—21no—
756C22×C4—21no—
757C22×C4—21no—
758C22×C4—21no—
759C22×C4—21no—
760C22×C4—21no—
761C22×C4—21no—
762C22×C4—21no—
763C22×C4—21no—
764C22×C4—21no—
765C22×C4—21no—
766C22×C4—21no—
767C22×C4—44no—
768C22×C4—44no—
769C22×C4—44no—
770C22×C4—44no—
771C22×C4—44no—
772C22×C4—44no—
773C22×C4—44no—
774C22×C4—44no—
775C22×C4—44no—
776C22×C4—44no—
777C22×C4—44no—
778C22×C4—44no—
779C22×C4—44no—
780C22×C4—44no—
781C22×C4—44no—
782C22×C4—44no—
783C22×C4C22×C4×C1112yes—
784C22×C4C22×C4×C1112yes—
785C22×C4C22×C4×C1112yes—
786C22×C4C22×C4×C1112yes—
787C22×C4C22×C4×C1112yes—
788C22×C4C22×C4×C1112yes—
789C22×C4C2×D4×C1112yes—
790C22×C4C2×D4×C1112yes—
791C22×C4C2×D4×C1112yes—
792C22×C4C2×D4×C1112yes—
793C22×C4C2×D4×C1112yes—
794C22×C4C2×Q8×C1112yes—
795C22×C4C2×Q8×C1112yes—
796C22×C4C11×#4112yes—
797C22×C4C11×#4112yes—
798C22×C4C11×#4112yes—
799C4⋊C4—28no—
800C4⋊C4—44no—
801C4⋊C4—44no—
802C4⋊C4—44no—
803C22⋊C4—28no—
804C22⋊C4—28no—
805C22⋊C4—28no—
806C22⋊C4—44no—
807C42—44no—
808C42—44no—
809C11#1404711yescharacteristic, direct product factor, Sylow
810C23—22no—
811C23—22no—
812C23—22no—
813C23—22no—
814C23—22no—
815C23—22no—
816C23—22no—
817C23—22no—
818C23—22no—
819C23—22no—
820C23—22no—
821C23—22no—
822C23—22no—
823C23—22no—
824C23—22no—
825C23—22no—
826C23—22no—
827C23—22no—
828C23—22no—
829C23—22no—
830C23—22no—
831C23—22no—
832C23—22no—
833C23—22no—
834C23—22no—
835C23—22no—
836C23—22no—
837C23—22no—
838C23C11×#11714yes—
839C23C4×D4×C1114yes—
840C23C4×Q8×C1114yes—
841C23C11×C22⋊Q814yes—
842C23C11×#12314yes—
843C23C11×#12514yes—
844C23C11×#12614yes—
845C23C23×C4×C1111yescharacteristic
846C23C22×D4×C1111yescharacteristic
847C23C22×D4×C1111yescharacteristic
848C23C22×Q8×C1111yescharacteristic
849C23C2×C11×#4111yescharacteristic
850C23C2×C11×#4111yescharacteristic
851C23C2×C11×#4111yescharacteristic
852C23C2×C11×#4111yescharacteristic
853C23C2×C11×#4111yescharacteristic
854C23C2×C11×#4111yescharacteristic
855C23C2×C11×#4111yescharacteristic
856C23C11×H(5,𝔽2)11yescharacteristic
857C23C11×H(5,𝔽2)11yescharacteristic
858C23C11×H(5,𝔽2)11yescharacteristic
859C23C11×2−1+411yescharacteristic
860C2×C4—22no—
861C2×C4—22no—
862C2×C4—22no—
863C2×C4—22no—
864C2×C4—22no—
865C2×C4—22no—
866C2×C4—22no—
867C2×C4—22no—
868C2×C4—22no—
869C2×C4—22no—
870C2×C4—22no—
871C2×C4—22no—
872C2×C4—22no—
873C2×C4—22no—
874C2×C4—22no—
875C2×C4—22no—
876C2×C4—22no—
877C2×C4—22no—
878C2×C4—22no—
879C2×C4—22no—
880C2×C4—22no—
881C2×C4—22no—
882C2×C4—22no—
883C2×C4—22no—
884C2×C4—22no—
885C2×C4—22no—
886C2×C4—22no—
887C2×C4—22no—
888C2×C4—22no—
889C2×C4—22no—
890C2×C4—22no—
891C2×C4—22no—
892C2×C4—22no—
893C2×C4—22no—
894C2×C4—22no—
895C2×C4—22no—
896C2×C4—22no—
897C2×C4—22no—
898C2×C4—22no—
899C2×C4—22no—
900C2×C4—22no—
901C2×C4—22no—
902C2×C4—416no—
903C2×C4—416no—
904C2×C4—416no—
905C2×C4—41no—
906C2×C4—41no—
907C2×C4—41no—
908C2×C4—41no—
909C2×C4—41no—
910C2×C4—41no—
911C2×C4—41no—
912C2×C4—41no—
913C2×C4—41no—
914C2×C4—41no—
915C2×C4—41no—
916C2×C4—41no—
917C2×C4—41no—
918C2×C4—41no—
919C2×C4—41no—
920C2×C4—41no—
921C2×C4—41no—
922C2×C4—41no—
923C2×C4—41no—
924C2×C4—41no—
925C2×C4—41no—
926C2×C4—41no—
927C2×C4—41no—
928C2×C4—41no—
929C2×C4—41no—
930C2×C4—41no—
931C2×C4—41no—
932C2×C4—41no—
933C2×C4—41no—
934C2×C4—41no—
935C2×C4—41no—
936C2×C4—41no—
937C2×C4—41no—
938C2×C4—41no—
939C2×C4—41no—
940C2×C4—41no—
941C2×C4—41no—
942C2×C4—41no—
943C2×C4—41no—
944C2×C4—41no—
945C2×C4—41no—
946C2×C4—41no—
947C2×C4—41no—
948C2×C4—41no—
949C2×C4—41no—
950C2×C4—41no—
951C2×C4—41no—
952C2×C4—41no—
953C2×C4—41no—
954C2×C4—41no—
955C2×C4—41no—
956C2×C4—41no—
957C2×C4—41no—
958C2×C4—41no—
959C2×C4C4×D4×C1114yes—
960C2×C4C11×#12114yes—
961C22—24no—
962C22—24no—
963C22—24no—
964C22—24no—
965C22—24no—
966C22—24no—
967C22—24no—
968C22—24no—
969C22—24no—
970C22—24no—
971C22—24no—
972C22—24no—
973C22—24no—
974C22—24no—
975C22C11×#38718yescomplemented
976C22C2×C11×#11711yescharacteristic
977C22C2×C4×D4×C1111yescharacteristic
978C22C2×C4×D4×C1111yescharacteristic
979C22C2×C4×Q8×C1111yescharacteristic
980C22C4×C11×#4111yescharacteristic
981C22C11×#51811yescharacteristic
982C22C11×#52011yescharacteristic
983C22C2×C11×#12111yescharacteristic
984C22C2×C11×C22⋊Q811yescharacteristic
985C22C2×C11×#12311yescharacteristic
986C22C11×#52511yescharacteristic
987C22C2×C11×#12511yescharacteristic
988C22C2×C11×#12611yescharacteristic
989C22C11×#52911yescharacteristic
990C22C11×#53211yescharacteristic
991C22C11×#53411yescharacteristic
992C22C11×#53711yescharacteristic
993C22C11×#53811yescharacteristic
994C22C11×#53911yescharacteristic
995C22C11×#54611yescharacteristic
996C22C11×#54611yescharacteristic
997C22C11×#54611yescharacteristic
998C22D4×Q8×C1111yescharacteristic
999C22C11×#55111yescharacteristic
1000C22C11×#55111yescharacteristic
1001C22C11×#55111yescharacteristic
1002C22C11×#55111yescharacteristic
1003C22C11×#55111yescharacteristic
1004C22C11×#55111yescharacteristic
1005C22C11×#55211yescharacteristic
1006C22C11×#55211yescharacteristic
1007C22C11×#55211yescharacteristic
1008C22C11×#55411yescharacteristic
1009C22C11×#55411yescharacteristic
1010C22C11×#55411yescharacteristic
1011C4—24no—
1012C4—24no—
1013C4—42no—
1014C4—42no—
1015C4—42no—
1016C4—42no—
1017C4—42no—
1018C4—42no—
1019C4—42no—
1020C4—42no—
1021C4—42no—
1022C4—42no—
1023C4—81no—
1024C4—81no—
1025C2—28no—
1026C2C2×C11×#38711yescharacteristic
1027C2C4×C11×#12111yescharacteristic
1028C2C11×#232511yescharacteristic
1029C2C11×#234211yescharacteristic
1030C2C11×#234311yescharacteristic
1031C2C11×#236011yescharacteristic
1032C2C11×#236811yescharacteristic
1033C2C11×#241211yescharacteristic
1034C2C11×#241711yescharacteristic
1035C2C11×#247311yescharacteristic
1036C2C11×#248011yescharacteristic
1037C2C11×#249311yescharacteristic
1038C2C11×#249811yescharacteristic
1039C2C11×#250511yescharacteristic
1040C2C11×#256411yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutatorC23C23×C4×C11
Frattini, cosocleC24C24×C11
prime radicalC25×C11C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#387C2semidirect
6. C11×#1445C2semidirect
7. C11×#1443C2semidirect
8. C11×#1442C2semidirect
9. C11×#1441C2semidirect
10. C11×#1436C2semidirect
11. C11×#1436C2semidirect
12. C11×#1434C2semidirect
31. C11×#380C4semidirect
102. C2×C11×C4⋊C4C2×C4semidirect
103. C2×C11×C4⋊C4C2×C4semidirect
141. C11×#95C2×C4semidirect
142. C11×#95C2×C4semidirect
144. #14047C11direct (N × H)
290. C2×#387C2×C11semidirect
295. #1445C2×C11semidirect
296. #1443C2×C11semidirect
297. #1442C2×C11semidirect
298. #1441C2×C11semidirect
299. #1436C2×C11semidirect
300. #1436C2×C11semidirect
301. #1434C2×C11semidirect
471. #380C4×C11semidirect
510. C22×C11#387semidirect
606. C2×C4⋊C4C2×C4×C11semidirect
607. C2×C4⋊C4C2×C4×C11semidirect
645. #95C2×C4×C11semidirect
646. #95C2×C4×C11semidirect
809. C11#14047direct (N × H)
975. C22C11×#387semidirect

Maximal subgroups

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

subgroupindex
C2×C11×#3872
C2×C11×#3852
C2×C11×#3802
C2×C4×C11×C22⋊C42
C22×C11×#952
C11×#14452
C11×#14432
C11×#14422
C11×#14412
C11×#14362
C11×#14342
C11×C22⋊#952
#1404711