Finite Group Databasebeta

← C11×#16277 #14593470

Subgroups — C11×#16277 #14593470

Order 2816.

1598 conjugacy classes of subgroups.

The subgroup lattice has 1134 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#399C211yesmaximal, characteristic, complemented
2C2×C11×#394C211yesmaximal, characteristic
3C2×C11×#390C211yesmaximal, characteristic
4C2×C11×#387C211yesmaximal, characteristic, complemented
5C11×#1441C211yesmaximal, characteristic, complemented
6C11×#1441C211yesmaximal, characteristic, complemented
7C11×#1440C211yesmaximal, characteristic, complemented
8C11×#1440C211yesmaximal, characteristic, complemented
9C11×#1440C211yesmaximal, characteristic, complemented
10C11×#1440C211yesmaximal, characteristic, complemented
11C11×#1439C211yesmaximal, characteristic, complemented
12C11×#1439C211yesmaximal, characteristic, complemented
13C11×#1439C211yesmaximal, characteristic, complemented
14C11×#1438C211yesmaximal, characteristic
15C11×#1436C211yesmaximal, characteristic, complemented
16C23×D4×C11C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊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×C42×C11C2211yescharacteristic
35C11×#399—24no—
36C11×#394—24no—
37C11×#390—24no—
38C11×#387—24no—
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
55C25×C11C2311yescharacteristic
56C25×C11C2311yescharacteristic
57C22×D4×C11—22no—
58C22×D4×C11—22no—
59C22×D4×C11—22no—
60C22×D4×C11—22no—
61C22×D4×C11—22no—
62C22×D4×C11—41no—
63C22×D4×C11—41no—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C2×C11×C4⋊C4—22no—
78C2×C11×C4⋊C4—22no—
79C2×C11×C4⋊C4—22no—
80C2×C11×C4⋊C4—22no—
81C2×C11×C4⋊C4—22no—
82C2×C11×C4⋊C4—22no—
83C2×C11×C4⋊C4—22no—
84C2×C11×C4⋊C4—22no—
85C2×C11×C4⋊C4—22no—
86C2×C11×C4⋊C4—41no—
87C2×C11×C4⋊C4—41no—
88C2×C11×C4⋊C4—41no—
89C2×C11×C4⋊C4—41no—
90C2×C11×C4⋊C4—41no—
91C2×C11×C4⋊C4D414yes—
92C2×C11×C22⋊C4—22no—
93C2×C11×C22⋊C4—22no—
94C2×C11×C22⋊C4—22no—
95C2×C11×C22⋊C4—22no—
96C2×C11×C22⋊C4—22no—
97C2×C11×C22⋊C4—22no—
98C2×C11×C22⋊C4—22no—
99C2×C11×C22⋊C4—22no—
100C2×C11×C22⋊C4—22no—
101C2×C11×C22⋊C4—22no—
102C2×C11×C22⋊C4—22no—
103C2×C11×C22⋊C4—22no—
104C2×C11×C22⋊C4—22no—
105C2×C11×C22⋊C4—22no—
106C2×C11×C22⋊C4—22no—
107C2×C11×C22⋊C4—41no—
108C2×C11×C22⋊C4—41no—
109C2×C11×C22⋊C4—41no—
110C2×C11×C22⋊C4—41no—
111C2×C11×C22⋊C4—41no—
112C2×C11×C22⋊C4—41no—
113C2×C11×C22⋊C4—41no—
114C2×C11×C22⋊C4—41no—
115C2×C11×C22⋊C4—41no—
116C2×C11×C22⋊C4—41no—
117C2×C11×C22⋊C4—41no—
118C2×C11×C22⋊C4—41no—
119C2×C11×C22⋊C4—41no—
120C2×C11×C22⋊C4—41no—
121C2×C11×C22⋊C4—41no—
122C2×C11×C22⋊C4—41no—
123C2×C11×C22⋊C4—41no—
124C2×C11×C22⋊C4—41no—
125C2×C11×C22⋊C4—41no—
126C2×C11×C22⋊C4—41no—
127C2×C11×C22⋊C4D414yes—
128C2×C42×C11—22no—
129C2×C42×C11—22no—
130C2×C42×C11—41no—
131C11×#95—22no—
132C11×#95—22no—
133C11×#95—22no—
134C11×#95—22no—
135C11×#95—22no—
136C11×#95—22no—
137C11×#95—22no—
138C11×#95—22no—
139C11×#95—41no—
140C11×#95—41no—
141C11×#95—41no—
142C11×#95—41no—
143C11×#95—41no—
144C11×#95—41no—
145C11×#95—41no—
146C11×#95—41no—
147#16277C1111yesmaximal, characteristic, direct product factor, Sylow
148C24×C11—21no—
149C24×C11—21no—
150C24×C11—21no—
151C24×C11—21no—
152C24×C11—21no—
153C24×C11—21no—
154C24×C11—21no—
155C24×C11—21no—
156C24×C11—21no—
157C24×C11—21no—
158C24×C11—21no—
159C24×C11—21no—
160C24×C11—21no—
161C24×C11—21no—
162C24×C11—21no—
163C24×C11—21no—
164C24×C11—21no—
165C24×C11—21no—
166C24×C11—21no—
167C24×C11—21no—
168C24×C11—21no—
169C24×C11—21no—
170C24×C11—21no—
171C24×C11—21no—
172C24×C11—21no—
173C24×C11—21no—
174C24×C11—21no—
175C24×C11—21no—
176C24×C11C2×D412yes—
177C24×C11#4112yes—
178C24×C11C2411yescharacteristic
179C2×D4×C11—28no—
180C2×D4×C11—44no—
181C2×D4×C11—44no—
182C2×D4×C11—44no—
183C2×D4×C11—44no—
184C2×D4×C11—44no—
185C2×D4×C11—44no—
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—21no—
233C22×C4×C11—21no—
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—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×C11C2×D412yes—
269C22×C4×C11C2×D412yes—
270C22×C4×C11C2×D412yes—
271C22×C4×C11C2×D412yes—
272C22×C4×C11C2×D412yes—
273C22×C4×C11#4112yes—
274C22×C4×C11#4112yes—
275C22×C4×C11#4112yes—
276C22×C4×C11#4112yes—
277C11×C4⋊C4—28no—
278C11×C4⋊C4—44no—
279C11×C4⋊C4—44no—
280C11×C4⋊C4—44no—
281C11×C4⋊C4—44no—
282C11×C22⋊C4—44no—
283C11×C22⋊C4—44no—
284C11×C22⋊C4—44no—
285C11×C22⋊C4—44no—
286C11×C22⋊C4—44no—
287C11×C22⋊C4—44no—
288C11×C22⋊C4—44no—
289C11×C22⋊C4—44no—
290C11×C22⋊C4—44no—
291C11×C22⋊C4—44no—
292C11×C22⋊C4—44no—
293C11×C22⋊C4—44no—
294C42×C11—44no—
295C2×#399C2×C1111yescharacteristic, complemented
296C2×#394C2×C1111yescharacteristic
297C2×#390C2×C1111yescharacteristic
298C2×#387C2×C1111yescharacteristic, complemented
299#1441C2×C1111yescharacteristic, complemented
300#1441C2×C1111yescharacteristic, complemented
301#1440C2×C1111yescharacteristic, complemented
302#1440C2×C1111yescharacteristic, complemented
303#1440C2×C1111yescharacteristic, complemented
304#1440C2×C1111yescharacteristic, complemented
305#1439C2×C1111yescharacteristic, complemented
306#1439C2×C1111yescharacteristic, complemented
307#1439C2×C1111yescharacteristic, complemented
308#1438C2×C1111yescharacteristic
309#1436C2×C1111yescharacteristic, complemented
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—41no—
325C23×C11—41no—
326C23×C11—41no—
327C23×C11—41no—
328C23×C11—41no—
329C23×C11—41no—
330C23×C11—41no—
331C23×C11—41no—
332C23×C11—41no—
333C23×C11—41no—
334C23×C11—41no—
335C23×C11—41no—
336C23×C11—41no—
337C23×C11—41no—
338C23×C11—41no—
339C23×C11—41no—
340C23×C11—41no—
341C23×C11—41no—
342C23×C11—41no—
343C23×C11—41no—
344C23×C11—41no—
345C23×C11—41no—
346C23×C11—41no—
347C23×C11—41no—
348C23×C11—41no—
349C23×C11—41no—
350C23×C11—41no—
351C23×C11—41no—
352C23×C11—41no—
353C23×C11—41no—
354C23×C11—41no—
355C23×C11—41no—
356C23×C11—41no—
357C23×C11—41no—
358C23×C11—41no—
359C23×C11—41no—
360C23×C11—41no—
361C23×C11—41no—
362C23×C11—41no—
363C23×C11—41no—
364C23×C11—41no—
365C23×C11—41no—
366C23×C11—41no—
367C23×C11—41no—
368C23×C11—41no—
369C23×C11—41no—
370C23×C11—41no—
371C23×C11—41no—
372C23×C11—41no—
373C23×C11—41no—
374C23×C11—41no—
375C23×C11—41no—
376C23×C11—41no—
377C23×C11—41no—
378C23×C11—41no—
379C23×C11—41no—
380C23×C11C22×D411yescharacteristic
381C23×C11C22×D411yescharacteristic
382C23×C11C2×#4111yescharacteristic
383C23×C11C2×#4111yescharacteristic
384C23×C11C2×#4111yescharacteristic
385C23×C11C2×#4111yescharacteristic
386C23×C11C2×#4111yescharacteristic
387C23×C11H(5,𝔽2)11yescharacteristic
388C23×C11H(5,𝔽2)11yescharacteristic
389C23×C11H(5,𝔽2)11yescharacteristic
390C23×C11H(5,𝔽2)11yescharacteristic
391C23×C11H(5,𝔽2)11yescharacteristic
392C23×C11H(5,𝔽2)11yescharacteristic
393C23×C112−1+411yescharacteristic
394C23×C112−1+411yescharacteristic
395D4×C11—416no—
396C2×C4×C11—22no—
397C2×C4×C11—22no—
398C2×C4×C11—22no—
399C2×C4×C11—22no—
400C2×C4×C11—22no—
401C2×C4×C11—22no—
402C2×C4×C11—22no—
403C2×C4×C11—22no—
404C2×C4×C11—22no—
405C2×C4×C11—22no—
406C2×C4×C11—22no—
407C2×C4×C11—22no—
408C2×C4×C11—22no—
409C2×C4×C11—22no—
410C2×C4×C11—22no—
411C2×C4×C11—22no—
412C2×C4×C11—22no—
413C2×C4×C11—22no—
414C2×C4×C11—22no—
415C2×C4×C11—22no—
416C2×C4×C11—22no—
417C2×C4×C11—22no—
418C2×C4×C11—22no—
419C2×C4×C11—22no—
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×C11—41no—
455C2×C4×C11—41no—
456C2×C4×C11—41no—
457C2×C4×C11—41no—
458C2×C4×C11—41no—
459C2×C4×C11—41no—
460C2×C4×C11—41no—
461C2×C4×C11—41no—
462C2×C4×C11—41no—
463C2×C4×C11—41no—
464C2×C4×C11—41no—
465C2×C4×C11—41no—
466C2×C4×C11—41no—
467C2×C4×C11—41no—
468C2×C4×C11—41no—
469C2×C4×C11—41no—
470C2×C4×C11—41no—
471C2×C4×C11—41no—
472C2×C4×C11—41no—
473C2×C4×C11—41no—
474C2×C4×C11—41no—
475C2×C4×C11—41no—
476C2×C4×C11—41no—
477C2×C4×C11—41no—
478C2×C4×C11—41no—
479C2×C4×C11—41no—
480C2×C4×C11—41no—
481C2×C4×C11—41no—
482C2×C4×C11—41no—
483C2×C4×C11—41no—
484C2×C4×C11—41no—
485C2×C4×C11—41no—
486C2×C4×C11#12314yes—
487C23×D4C22×C1111yescharacteristic
488C22×C4⋊C4C22×C1111yescharacteristic
489C22×C4⋊C4C22×C1111yescharacteristic
490C22×C4⋊C4C22×C1111yescharacteristic
491C22×C4⋊C4C22×C1111yescharacteristic
492C22×C4⋊C4C22×C1111yescharacteristic
493C22×C22⋊C4C22×C1111yescharacteristic
494C22×C22⋊C4C22×C1111yescharacteristic
495C22×C22⋊C4C22×C1111yescharacteristic
496C22×C22⋊C4C22×C1111yescharacteristic
497C22×C22⋊C4C22×C1111yescharacteristic
498C22×C22⋊C4C22×C1111yescharacteristic
499C22×C22⋊C4C22×C1111yescharacteristic
500C22×C22⋊C4C22×C1111yescharacteristic
501C22×C22⋊C4C22×C1111yescharacteristic
502C22×C22⋊C4C22×C1111yescharacteristic
503C22×C22⋊C4C22×C1111yescharacteristic
504C22×C22⋊C4C22×C1111yescharacteristic
505C22×C42C22×C1111yescharacteristic
506#399—24no—
507#394—24no—
508#390—24no—
509#387—24no—
510C2×#95C22×C1111yescharacteristic
511C2×#95C22×C1111yescharacteristic
512C2×#95C22×C1111yescharacteristic
513C2×#95C22×C1111yescharacteristic
514C2×#95C22×C1111yescharacteristic
515C2×#95C22×C1111yescharacteristic
516C2×#95C22×C1111yescharacteristic
517C2×#95C22×C1111yescharacteristic
518C2×#95C22×C1111yescharacteristic
519C2×#95C22×C1111yescharacteristic
520C2×#95C22×C1111yescharacteristic
521C2×#95C22×C1111yescharacteristic
522C2×#95C22×C1111yescharacteristic
523C2×#95C22×C1111yescharacteristic
524C2×#95C22×C1111yescharacteristic
525C2×#95C22×C1111yescharacteristic
526C22×C11—42no—
527C22×C11—42no—
528C22×C11—42no—
529C22×C11—42no—
530C22×C11—42no—
531C22×C11—42no—
532C22×C11—42no—
533C22×C11—42no—
534C22×C11—42no—
535C22×C11—42no—
536C22×C11—42no—
537C22×C11—42no—
538C22×C11—42no—
539C22×C11—42no—
540C22×C11—81no—
541C22×C11—81no—
542C22×C11—81no—
543C22×C11—81no—
544C22×C11—81no—
545C22×C11—81no—
546C22×C11—81no—
547C22×C11—81no—
548C22×C11—81no—
549C22×C11—81no—
550C22×C11—81no—
551C22×C11—81no—
552C22×C11—81no—
553C22×C11—81no—
554C22×C11—81no—
555C22×C11—81no—
556C22×C11C2×#12311yescharacteristic
557C22×C11#52511yescharacteristic
558C22×C11#52911yescharacteristic
559C22×C11#53411yescharacteristic
560C22×C11#53511yescharacteristic
561C22×C11#53611yescharacteristic
562C22×C11#53711yescharacteristic
563C22×C11#53811yescharacteristic
564C22×C11#53911yescharacteristic
565C22×C11#53911yescharacteristic
566C22×C11#53911yescharacteristic
567C22×C11#54011yescharacteristic
568C22×C11#54011yescharacteristic
569C22×C11#54011yescharacteristic
570C22×C11#54011yescharacteristic
571C22×C11#54211yescharacteristic
572C22×C11#54211yescharacteristic
573C22×C11#54211yescharacteristic
574C22×C11#54211yescharacteristic
575C22×C11D4211yescharacteristic
576C22×C11#54611yescharacteristic
577C22×C11#54611yescharacteristic
578C22×C11#54611yescharacteristic
579C22×C11#54611yescharacteristic
580C22×C11#54811yescharacteristic
581C22×C11#55011yescharacteristic
582C22×C11#55111yescharacteristic
583C22×C11#55111yescharacteristic
584C22×C11#55311yescharacteristic
585C22×C11#55611yescharacteristic
586C22×C11#55911yescharacteristic
587C22×C11#56011yescharacteristic
588C22×C11#56011yescharacteristic
589C22×C11#56211yescharacteristic
590C22×C11#56211yescharacteristic
591C4×C11—24no—
592C4×C11—42no—
593C4×C11—42no—
594C4×C11—42no—
595C4×C11—42no—
596C4×C11—42no—
597C4×C11—42no—
598C4×C11—81no—
599C4×C11—81no—
600C4×C11—81no—
601C4×C11—81no—
602C4×C11—81no—
603C4×C11—81no—
604C25C23×C1111yescharacteristic
605C25C23×C1111yescharacteristic
606C22×D4—22no—
607C22×D4—22no—
608C22×D4—22no—
609C22×D4—22no—
610C22×D4—22no—
611C22×D4—41no—
612C22×D4—41no—
613C23×C4C23×C1111yescharacteristic
614C23×C4C23×C1111yescharacteristic
615C23×C4C23×C1111yescharacteristic
616C23×C4C23×C1111yescharacteristic
617C23×C4C23×C1111yescharacteristic
618C23×C4C23×C1111yescharacteristic
619C23×C4C23×C1111yescharacteristic
620C23×C4C23×C1111yescharacteristic
621C23×C4C23×C1111yescharacteristic
622C23×C4C23×C1111yescharacteristic
623C23×C4C23×C1111yescharacteristic
624C23×C4C23×C1111yescharacteristic
625C23×C4C23×C1111yescharacteristic
626C2×C4⋊C4—22no—
627C2×C4⋊C4—22no—
628C2×C4⋊C4—22no—
629C2×C4⋊C4—22no—
630C2×C4⋊C4—22no—
631C2×C4⋊C4—22no—
632C2×C4⋊C4—22no—
633C2×C4⋊C4—22no—
634C2×C4⋊C4—22no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4D4×C1114yes—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—41no—
657C2×C22⋊C4—41no—
658C2×C22⋊C4—41no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4—41no—
673C2×C22⋊C4—41no—
674C2×C22⋊C4—41no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4D4×C1114yes—
677C2×C42—22no—
678C2×C42—22no—
679C2×C42—41no—
680#95—22no—
681#95—22no—
682#95—22no—
683#95—22no—
684#95—22no—
685#95—22no—
686#95—22no—
687#95—22no—
688#95—41no—
689#95—41no—
690#95—41no—
691#95—41no—
692#95—41no—
693#95—41no—
694#95—41no—
695#95—41no—
696C2×C11—82no—
697C2×C11—82no—
698C2×C11#241811yescharacteristic
699C2×C11#244811yescharacteristic
700C2×C11#245711yescharacteristic
701C2×C11#262411yescharacteristic
702C2×C11#263811yescharacteristic
703C2×C11#265111yescharacteristic
704C2×C11#267311yescharacteristic
705C2×C11#268111yescharacteristic
706C2×C11#270011yescharacteristic
707C2×C11#270511yescharacteristic
708C2×C11#270911yescharacteristic
709C2×C11#271111yescharacteristic
710C2×C11#274011yescharacteristic
711C2×C11#279611yescharacteristic
712C2×C11#282911yescharacteristic
713C24—21no—
714C24—21no—
715C24—21no—
716C24—21no—
717C24—21no—
718C24—21no—
719C24—21no—
720C24—21no—
721C24—21no—
722C24—21no—
723C24—21no—
724C24—21no—
725C24—21no—
726C24—21no—
727C24—21no—
728C24—21no—
729C24—21no—
730C24—21no—
731C24—21no—
732C24—21no—
733C24—21no—
734C24—21no—
735C24—21no—
736C24—21no—
737C24—21no—
738C24—21no—
739C24—21no—
740C24—21no—
741C24C2×D4×C1112yes—
742C24C11×#4112yes—
743C24C24×C1111yescharacteristic
744C2×D4—28no—
745C2×D4—44no—
746C2×D4—44no—
747C2×D4—44no—
748C2×D4—44no—
749C2×D4—44no—
750C2×D4—44no—
751C22×C4—21no—
752C22×C4—21no—
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—21no—
768C22×C4—21no—
769C22×C4—21no—
770C22×C4—21no—
771C22×C4—21no—
772C22×C4—21no—
773C22×C4—21no—
774C22×C4—21no—
775C22×C4—21no—
776C22×C4—21no—
777C22×C4—21no—
778C22×C4—21no—
779C22×C4—21no—
780C22×C4—21no—
781C22×C4—21no—
782C22×C4—21no—
783C22×C4—21no—
784C22×C4—21no—
785C22×C4—21no—
786C22×C4—21no—
787C22×C4—21no—
788C22×C4—21no—
789C22×C4—21no—
790C22×C4—21no—
791C22×C4—21no—
792C22×C4—21no—
793C22×C4—21no—
794C22×C4—21no—
795C22×C4—21no—
796C22×C4—21no—
797C22×C4—21no—
798C22×C4—21no—
799C22×C4—21no—
800C22×C4—21no—
801C22×C4—21no—
802C22×C4—21no—
803C22×C4—21no—
804C22×C4—21no—
805C22×C4—21no—
806C22×C4—21no—
807C22×C4—21no—
808C22×C4—21no—
809C22×C4—21no—
810C22×C4—21no—
811C22×C4—21no—
812C22×C4—21no—
813C22×C4—21no—
814C22×C4—21no—
815C22×C4—21no—
816C22×C4—21no—
817C22×C4—21no—
818C22×C4—21no—
819C22×C4—21no—
820C22×C4—21no—
821C22×C4—21no—
822C22×C4—21no—
823C22×C4—21no—
824C22×C4—21no—
825C22×C4—21no—
826C22×C4—21no—
827C22×C4—21no—
828C22×C4—21no—
829C22×C4—21no—
830C22×C4—21no—
831C22×C4—21no—
832C22×C4—21no—
833C22×C4C2×D4×C1112yes—
834C22×C4C2×D4×C1112yes—
835C22×C4C2×D4×C1112yes—
836C22×C4C2×D4×C1112yes—
837C22×C4C2×D4×C1112yes—
838C22×C4C11×#4112yes—
839C22×C4C11×#4112yes—
840C22×C4C11×#4112yes—
841C22×C4C11×#4112yes—
842C4⋊C4—28no—
843C4⋊C4—44no—
844C4⋊C4—44no—
845C4⋊C4—44no—
846C4⋊C4—44no—
847C22⋊C4—44no—
848C22⋊C4—44no—
849C22⋊C4—44no—
850C22⋊C4—44no—
851C22⋊C4—44no—
852C22⋊C4—44no—
853C22⋊C4—44no—
854C22⋊C4—44no—
855C22⋊C4—44no—
856C22⋊C4—44no—
857C22⋊C4—44no—
858C22⋊C4—44no—
859C42—44no—
860C11#1627711yescharacteristic, direct product factor, Sylow
861C23—22no—
862C23—22no—
863C23—22no—
864C23—22no—
865C23—22no—
866C23—22no—
867C23—22no—
868C23—22no—
869C23—22no—
870C23—22no—
871C23—22no—
872C23—22no—
873C23—22no—
874C23—22no—
875C23—41no—
876C23—41no—
877C23—41no—
878C23—41no—
879C23—41no—
880C23—41no—
881C23—41no—
882C23—41no—
883C23—41no—
884C23—41no—
885C23—41no—
886C23—41no—
887C23—41no—
888C23—41no—
889C23—41no—
890C23—41no—
891C23—41no—
892C23—41no—
893C23—41no—
894C23—41no—
895C23—41no—
896C23—41no—
897C23—41no—
898C23—41no—
899C23—41no—
900C23—41no—
901C23—41no—
902C23—41no—
903C23—41no—
904C23—41no—
905C23—41no—
906C23—41no—
907C23—41no—
908C23—41no—
909C23—41no—
910C23—41no—
911C23—41no—
912C23—41no—
913C23—41no—
914C23—41no—
915C23—41no—
916C23—41no—
917C23—41no—
918C23—41no—
919C23—41no—
920C23—41no—
921C23—41no—
922C23—41no—
923C23—41no—
924C23—41no—
925C23—41no—
926C23—41no—
927C23—41no—
928C23—41no—
929C23—41no—
930C23—41no—
931C23C22×D4×C1111yescharacteristic
932C23C22×D4×C1111yescharacteristic
933C23C2×C11×#4111yescharacteristic
934C23C2×C11×#4111yescharacteristic
935C23C2×C11×#4111yescharacteristic
936C23C2×C11×#4111yescharacteristic
937C23C2×C11×#4111yescharacteristic
938C23C11×H(5,𝔽2)11yescharacteristic
939C23C11×H(5,𝔽2)11yescharacteristic
940C23C11×H(5,𝔽2)11yescharacteristic
941C23C11×H(5,𝔽2)11yescharacteristic
942C23C11×H(5,𝔽2)11yescharacteristic
943C23C11×H(5,𝔽2)11yescharacteristic
944C23C11×2−1+411yescharacteristic
945C23C11×2−1+411yescharacteristic
946D4—416no—
947C2×C4—22no—
948C2×C4—22no—
949C2×C4—22no—
950C2×C4—22no—
951C2×C4—22no—
952C2×C4—22no—
953C2×C4—22no—
954C2×C4—22no—
955C2×C4—22no—
956C2×C4—22no—
957C2×C4—22no—
958C2×C4—22no—
959C2×C4—22no—
960C2×C4—22no—
961C2×C4—22no—
962C2×C4—22no—
963C2×C4—22no—
964C2×C4—22no—
965C2×C4—22no—
966C2×C4—22no—
967C2×C4—22no—
968C2×C4—22no—
969C2×C4—22no—
970C2×C4—22no—
971C2×C4—41no—
972C2×C4—41no—
973C2×C4—41no—
974C2×C4—41no—
975C2×C4—41no—
976C2×C4—41no—
977C2×C4—41no—
978C2×C4—41no—
979C2×C4—41no—
980C2×C4—41no—
981C2×C4—41no—
982C2×C4—41no—
983C2×C4—41no—
984C2×C4—41no—
985C2×C4—41no—
986C2×C4—41no—
987C2×C4—41no—
988C2×C4—41no—
989C2×C4—41no—
990C2×C4—41no—
991C2×C4—41no—
992C2×C4—41no—
993C2×C4—41no—
994C2×C4—41no—
995C2×C4—41no—
996C2×C4—41no—
997C2×C4—41no—
998C2×C4—41no—
999C2×C4—41no—
1000C2×C4—41no—
1001C2×C4—41no—
1002C2×C4—41no—
1003C2×C4—41no—
1004C2×C4—41no—
1005C2×C4—41no—
1006C2×C4—41no—
1007C2×C4—41no—
1008C2×C4—41no—
1009C2×C4—41no—
1010C2×C4—41no—
1011C2×C4—41no—
1012C2×C4—41no—
1013C2×C4—41no—
1014C2×C4—41no—
1015C2×C4—41no—
1016C2×C4—41no—
1017C2×C4—41no—
1018C2×C4—41no—
1019C2×C4—41no—
1020C2×C4—41no—
1021C2×C4—41no—
1022C2×C4—41no—
1023C2×C4—41no—
1024C2×C4—41no—
1025C2×C4—41no—
1026C2×C4—41no—
1027C2×C4—41no—
1028C2×C4—41no—
1029C2×C4—41no—
1030C2×C4—41no—
1031C2×C4—41no—
1032C2×C4—41no—
1033C2×C4—41no—
1034C2×C4—41no—
1035C2×C4—41no—
1036C2×C4—41no—
1037C2×C4C11×#12314yes—
1038C22—42no—
1039C22—42no—
1040C22—42no—
1041C22—42no—
1042C22—42no—
1043C22—42no—
1044C22—42no—
1045C22—42no—
1046C22—42no—
1047C22—42no—
1048C22—42no—
1049C22—42no—
1050C22—42no—
1051C22—42no—
1052C22—81no—
1053C22—81no—
1054C22—81no—
1055C22—81no—
1056C22—81no—
1057C22—81no—
1058C22—81no—
1059C22—81no—
1060C22—81no—
1061C22—81no—
1062C22—81no—
1063C22—81no—
1064C22—81no—
1065C22—81no—
1066C22—81no—
1067C22—81no—
1068C22C2×C11×#12311yescharacteristic
1069C22C11×#52511yescharacteristic
1070C22C11×#52911yescharacteristic
1071C22C11×#53411yescharacteristic
1072C22C11×#53511yescharacteristic
1073C22C11×#53611yescharacteristic
1074C22C11×#53711yescharacteristic
1075C22C11×#53811yescharacteristic
1076C22C11×#53911yescharacteristic
1077C22C11×#53911yescharacteristic
1078C22C11×#53911yescharacteristic
1079C22C11×#54011yescharacteristic
1080C22C11×#54011yescharacteristic
1081C22C11×#54011yescharacteristic
1082C22C11×#54011yescharacteristic
1083C22C11×#54211yescharacteristic
1084C22C11×#54211yescharacteristic
1085C22C11×#54211yescharacteristic
1086C22C11×#54211yescharacteristic
1087C22D42×C1111yescharacteristic
1088C22C11×#54611yescharacteristic
1089C22C11×#54611yescharacteristic
1090C22C11×#54611yescharacteristic
1091C22C11×#54611yescharacteristic
1092C22C11×#54811yescharacteristic
1093C22C11×#55011yescharacteristic
1094C22C11×#55111yescharacteristic
1095C22C11×#55111yescharacteristic
1096C22C11×#55311yescharacteristic
1097C22C11×#55611yescharacteristic
1098C22C11×#55911yescharacteristic
1099C22C11×#56011yescharacteristic
1100C22C11×#56011yescharacteristic
1101C22C11×#56211yescharacteristic
1102C22C11×#56211yescharacteristic
1103C4—24no—
1104C4—42no—
1105C4—42no—
1106C4—42no—
1107C4—42no—
1108C4—42no—
1109C4—42no—
1110C4—81no—
1111C4—81no—
1112C4—81no—
1113C4—81no—
1114C4—81no—
1115C4—81no—
1116C2—82no—
1117C2—82no—
1118C2C11×#241811yescharacteristic
1119C2C11×#244811yescharacteristic
1120C2C11×#245711yescharacteristic
1121C2C11×#262411yescharacteristic
1122C2C11×#263811yescharacteristic
1123C2C11×#265111yescharacteristic
1124C2C11×#267311yescharacteristic
1125C2C11×#268111yescharacteristic
1126C2C11×#270011yescharacteristic
1127C2C11×#270511yescharacteristic
1128C2C11×#270911yescharacteristic
1129C2C11×#271111yescharacteristic
1130C2C11×#274011yescharacteristic
1131C2C11×#279611yescharacteristic
1132C2C11×#282911yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutator, Frattini, cosocleC24C24×C11
prime radicalC23×D4×C11C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#399C2semidirect
4. C2×C11×#387C2semidirect
5. C11×#1441C2semidirect
6. C11×#1441C2semidirect
7. C11×#1440C2semidirect
8. C11×#1440C2semidirect
9. C11×#1440C2semidirect
10. C11×#1440C2semidirect
11. C11×#1439C2semidirect
12. C11×#1439C2semidirect
13. C11×#1439C2semidirect
15. C11×#1436C2semidirect
147. #16277C11direct (N × H)
295. C2×#399C2×C11semidirect
298. C2×#387C2×C11semidirect
299. #1441C2×C11semidirect
300. #1441C2×C11semidirect
301. #1440C2×C11semidirect
302. #1440C2×C11semidirect
303. #1440C2×C11semidirect
304. #1440C2×C11semidirect
305. #1439C2×C11semidirect
306. #1439C2×C11semidirect
307. #1439C2×C11semidirect
309. #1436C2×C11semidirect
860. C11#16277direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3992
C2×C11×#3942
C2×C11×#3902
C2×C11×#3872
C11×#14412
C11×#14402
C11×#14392
C11×#14382
C11×#14362
#1627711