Finite Group Databasebeta

← C11×#15498 #14592691

Subgroups — C11×#15498 #14592691

Order 2816.

2246 conjugacy classes of subgroups.

The subgroup lattice has 1334 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#394C211yesmaximal, characteristic, complemented
2C2×C11×#394C211yesmaximal, characteristic, complemented
3C2×C11×#394C211yesmaximal, characteristic, complemented
4C2×C11×#392C211yesmaximal, characteristic
5C2×C11×#390C211yesmaximal, characteristic, complemented
6C2×C11×#386C211yesmaximal, characteristic, complemented
7C2×C11×#386C211yesmaximal, characteristic, complemented
8C2×C11×#385C211yesmaximal, characteristic, complemented
9C11×#1441C211yesmaximal, characteristic, complemented
10C11×#1440C211yesmaximal, characteristic, complemented
11C11×#1440C211yesmaximal, characteristic, complemented
12C11×#1439C211yesmaximal, characteristic, complemented
13C11×#1439C211yesmaximal, characteristic, complemented
14C11×#1437C211yesmaximal, characteristic, complemented
15C11×C4⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C11C2211yescharacteristic
17C23×D4×C11C2211yescharacteristic
18C23×D4×C11C2211yescharacteristic
19C24×C4×C11C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C4⋊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×C11×C22⋊C4C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C42×C11C2211yescharacteristic
39C11×#394—24no—
40C11×#394—24no—
41C11×#394—24no—
42C11×#392—24no—
43C11×#390—24no—
44C11×#386—24no—
45C11×#386—24no—
46C11×#385—24no—
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
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—22no—
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×C11D414yes—
83C23×C4×C11—22no—
84C23×C4×C11—22no—
85C23×C4×C11—22no—
86C23×C4×C11—41no—
87C23×C4×C11—41no—
88C23×C4×C11—41no—
89C23×C4×C11—41no—
90C23×C4×C11C2311yescharacteristic
91C23×C4×C11C2311yescharacteristic
92C23×C4×C11C2311yescharacteristic
93C23×C4×C11C2311yescharacteristic
94C23×C4×C11C2311yescharacteristic
95C23×C4×C11C2311yescharacteristic
96C23×C4×C11C2311yescharacteristic
97C23×C4×C11C2311yescharacteristic
98C23×C4×C11C2311yescharacteristic
99C23×C4×C11C2311yescharacteristic
100C23×C4×C11C2311yescharacteristic
101C23×C4×C11C2311yescharacteristic
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—22no—
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×C4⋊C4D414yescomplemented
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—22no—
141C2×C11×C22⋊C4—22no—
142C2×C11×C22⋊C4—22no—
143C2×C11×C22⋊C4—22no—
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⋊C4D414yescomplemented
155C2×C11×C22⋊C4D414yescomplemented
156C2×C42×C11—22no—
157C2×C42×C11—22no—
158C2×C42×C11—41no—
159C11×#95—22no—
160C11×#95—22no—
161C11×#95—22no—
162C11×#95—22no—
163C11×#95—22no—
164C11×#95—22no—
165C11×#95—22no—
166C11×#95—22no—
167C11×#95—22no—
168C11×#95—22no—
169C11×#95—41no—
170C11×#95—41no—
171#15498C1111yesmaximal, 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×C11C2×D412yes—
213C24×C11C2×D412yes—
214C24×C11C2×D412yes—
215C24×C11C2×D412yes—
216C24×C11#4112yes—
217C24×C11C2411yescharacteristic
218C2×D4×C11—28no—
219C2×D4×C11—28no—
220C2×D4×C11—28no—
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×C11—44no—
312C22×C4×C11—44no—
313C22×C4×C11—44no—
314C22×C4×C11—44no—
315C22×C4×C11—44no—
316C22×C4×C11—44no—
317C22×C4×C11—44no—
318C22×C4×C11C2×D412yes—
319C22×C4×C11C2×D412yes—
320C22×C4×C11C2×D412yes—
321C22×C4×C11C2×D412yes—
322C22×C4×C11C2×D412yes—
323C22×C4×C11C2×D412yes—
324C22×C4×C11C2×D412yes—
325C22×C4×C11C2×D412yes—
326C22×C4×C11#4112yes—
327C22×C4×C11#4112yes—
328C22×C4×C11#4112yes—
329C22×C4×C11#4112yes—
330C11×C4⋊C4—44no—
331C11×C4⋊C4—44no—
332C11×C4⋊C4—44no—
333C11×C4⋊C4—44no—
334C11×C22⋊C4—28no—
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—
344C11×C22⋊C4—44no—
345C11×C22⋊C4—44no—
346C11×C22⋊C4—44no—
347C11×C22⋊C4—44no—
348C42×C11—44no—
349C2×#394C2×C1111yescharacteristic, complemented
350C2×#394C2×C1111yescharacteristic, complemented
351C2×#394C2×C1111yescharacteristic, complemented
352C2×#392C2×C1111yescharacteristic
353C2×#390C2×C1111yescharacteristic, complemented
354C2×#386C2×C1111yescharacteristic, complemented
355C2×#386C2×C1111yescharacteristic, complemented
356C2×#385C2×C1111yescharacteristic, complemented
357#1441C2×C1111yescharacteristic, complemented
358#1440C2×C1111yescharacteristic, complemented
359#1440C2×C1111yescharacteristic, complemented
360#1439C2×C1111yescharacteristic, complemented
361#1439C2×C1111yescharacteristic, complemented
362#1437C2×C1111yescharacteristic, complemented
363C4⋊#95C2×C1111yescharacteristic, complemented
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—22no—
382C23×C11—22no—
383C23×C11—22no—
384C23×C11—22no—
385C23×C11—22no—
386C23×C11—22no—
387C23×C11—22no—
388C23×C11—22no—
389C23×C11—22no—
390C23×C11—22no—
391C23×C11—22no—
392C23×C11—22no—
393C23×C11—22no—
394C23×C11—22no—
395C23×C11—22no—
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×C11—41no—
466C23×C11—41no—
467C23×C11—41no—
468C23×C11#12114yes—
469C23×C11C22×D411yescharacteristic
470C23×C11C22×D411yescharacteristic
471C23×C11C22×D411yescharacteristic
472C23×C11C22×D411yescharacteristic
473C23×C11C2×#4111yescharacteristic
474C23×C11C2×#4111yescharacteristic
475C23×C11C2×#4111yescharacteristic
476C23×C11C2×#4111yescharacteristic
477C23×C11C2×#4111yescharacteristic
478C23×C11H(5,𝔽2)11yescharacteristic
479C23×C11H(5,𝔽2)11yescharacteristic
480C23×C11H(5,𝔽2)11yescharacteristic
481C23×C11H(5,𝔽2)11yescharacteristic
482C23×C11H(5,𝔽2)11yescharacteristic
483C23×C112−1+411yescharacteristic
484D4×C11—416no—
485D4×C11—416no—
486D4×C11—416no—
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—22no—
517C2×C4×C11—416no—
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—41no—
567C2×C4×C11—41no—
568C2×C4×C11—41no—
569C2×C4×C11—41no—
570C2×C4×C11#12114yes—
571C2×C4×C11#12314yes—
572C23×D4C22×C1111yescharacteristic
573C23×D4C22×C1111yescharacteristic
574C23×D4C22×C1111yescharacteristic
575C24×C4C22×C1111yescharacteristic
576C22×C4⋊C4C22×C1111yescharacteristic
577C22×C4⋊C4C22×C1111yescharacteristic
578C22×C4⋊C4C22×C1111yescharacteristic
579C22×C4⋊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×C22⋊C4C22×C1111yescharacteristic
592C22×C22⋊C4C22×C1111yescharacteristic
593C22×C22⋊C4C22×C1111yescharacteristic
594C22×C42C22×C1111yescharacteristic
595#394—24no—
596#394—24no—
597#394—24no—
598#392—24no—
599#390—24no—
600#386—24no—
601#386—24no—
602#385—24no—
603C2×#95C22×C1111yescharacteristic
604C2×#95C22×C1111yescharacteristic
605C2×#95C22×C1111yescharacteristic
606C2×#95C22×C1111yescharacteristic
607C2×#95C22×C1111yescharacteristic
608C2×#95C22×C1111yescharacteristic
609C2×#95C22×C1111yescharacteristic
610C2×#95C22×C1111yescharacteristic
611C2×#95C22×C1111yescharacteristic
612C2×#95C22×C1111yescharacteristic
613C2×#95C22×C1111yescharacteristic
614C2×#95C22×C1111yescharacteristic
615C22×C11—24no—
616C22×C11—24no—
617C22×C11—24no—
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—42no—
632C22×C11—42no—
633C22×C11—42no—
634C22×C11—42no—
635C22×C11—42no—
636C22×C11—42no—
637C22×C11—42no—
638C22×C11—42no—
639C22×C11—42no—
640C22×C11—42no—
641C22×C11—42no—
642C22×C11—42no—
643C22×C11—42no—
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×C11—81no—
656C22×C11—81no—
657C22×C11—81no—
658C22×C11—81no—
659C22×C11—81no—
660C22×C11C2×#12111yescharacteristic
661C22×C11C2×#12111yescharacteristic
662C22×C11C2×#12311yescharacteristic
663C22×C11#52511yescharacteristic
664C22×C11#53211yescharacteristic
665C22×C11#53211yescharacteristic
666C22×C11#53411yescharacteristic
667C22×C11#53411yescharacteristic
668C22×C11#53411yescharacteristic
669C22×C11#53711yescharacteristic
670C22×C11#53811yescharacteristic
671C22×C11#54011yescharacteristic
672C22×C11#54011yescharacteristic
673C22×C11#54211yescharacteristic
674C22×C11#54211yescharacteristic
675C22×C11D4211yescharacteristic
676C22×C11D4211yescharacteristic
677C22×C11D4211yescharacteristic
678C22×C11D4211yescharacteristic
679C22×C11#54611yescharacteristic
680C22×C11#54611yescharacteristic
681C22×C11#54611yescharacteristic
682C22×C11#54611yescharacteristic
683C22×C11#54711yescharacteristic
684C22×C11#54711yescharacteristic
685C22×C11#54811yescharacteristic
686C22×C11#55011yescharacteristic
687C22×C11#55111yescharacteristic
688C22×C11#55111yescharacteristic
689C22×C11#55311yescharacteristic
690C22×C11#55311yescharacteristic
691C22×C11#55311yescharacteristic
692C22×C11#55911yescharacteristic
693C22×C11H(3,𝔽4)11yescharacteristic
694C22×C11#56211yescharacteristic
695C4×C11—24no—
696C4×C11—24no—
697C4×C11—42no—
698C4×C11—42no—
699C4×C11—42no—
700C4×C11—42no—
701C4×C11—42no—
702C4×C11—42no—
703C4×C11—81no—
704C4×C11—81no—
705C4×C11—81no—
706C4×C11—81no—
707C25C23×C1111yescharacteristic
708C25C23×C1111yescharacteristic
709C25C23×C1111yescharacteristic
710C22×D4—22no—
711C22×D4—22no—
712C22×D4—22no—
713C22×D4—22no—
714C22×D4—22no—
715C22×D4—22no—
716C22×D4—22no—
717C22×D4—22no—
718C22×D4—22no—
719C22×D4—22no—
720C22×D4—22no—
721C22×D4—22no—
722C22×D4—41no—
723C22×D4—41no—
724C22×D4—41no—
725C22×D4—41no—
726C22×D4—41no—
727C22×D4—41no—
728C22×D4—41no—
729C22×D4—41no—
730C22×D4D4×C1114yes—
731C23×C4—22no—
732C23×C4—22no—
733C23×C4—22no—
734C23×C4—41no—
735C23×C4—41no—
736C23×C4—41no—
737C23×C4—41no—
738C23×C4C23×C1111yescharacteristic
739C23×C4C23×C1111yescharacteristic
740C23×C4C23×C1111yescharacteristic
741C23×C4C23×C1111yescharacteristic
742C23×C4C23×C1111yescharacteristic
743C23×C4C23×C1111yescharacteristic
744C23×C4C23×C1111yescharacteristic
745C23×C4C23×C1111yescharacteristic
746C23×C4C23×C1111yescharacteristic
747C23×C4C23×C1111yescharacteristic
748C23×C4C23×C1111yescharacteristic
749C23×C4C23×C1111yescharacteristic
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—22no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4—41no—
758C2×C4⋊C4—41no—
759C2×C4⋊C4—41no—
760C2×C4⋊C4—41no—
761C2×C4⋊C4D4×C1114yescomplemented
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—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—22no—
790C2×C22⋊C4—22no—
791C2×C22⋊C4—22no—
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⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4D4×C1114yescomplemented
803C2×C22⋊C4D4×C1114yescomplemented
804C2×C42—22no—
805C2×C42—22no—
806C2×C42—41no—
807#95—22no—
808#95—22no—
809#95—22no—
810#95—22no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—22no—
817#95—41no—
818#95—41no—
819C2×C11—44no—
820C2×C11—82no—
821C2×C11—82no—
822C2×C11#241211yescharacteristic
823C2×C11#241611yescharacteristic
824C2×C11#242211yescharacteristic
825C2×C11#242411yescharacteristic
826C2×C11#242811yescharacteristic
827C2×C11#244511yescharacteristic
828C2×C11#246111yescharacteristic
829C2×C11#254311yescharacteristic
830C2×C11#260211yescharacteristic
831C2×C11#267111yescharacteristic
832C2×C11#267911yescharacteristic
833C2×C11#270111yescharacteristic
834C2×C11#271211yescharacteristic
835C2×C11#273011yescharacteristic
836C2×C11#275311yescharacteristic
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—
874C24—21no—
875C24—21no—
876C24—21no—
877C24C2×D4×C1112yes—
878C24C2×D4×C1112yes—
879C24C2×D4×C1112yes—
880C24C2×D4×C1112yes—
881C24C11×#4112yes—
882C24C24×C1111yescharacteristic
883C2×D4—28no—
884C2×D4—28no—
885C2×D4—28no—
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—
899C2×D4—44no—
900C2×D4—44no—
901C2×D4—44no—
902C2×D4—44no—
903C2×D4—44no—
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×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—44no—
977C22×C4—44no—
978C22×C4—44no—
979C22×C4—44no—
980C22×C4—44no—
981C22×C4—44no—
982C22×C4—44no—
983C22×C4C2×D4×C1112yes—
984C22×C4C2×D4×C1112yes—
985C22×C4C2×D4×C1112yes—
986C22×C4C2×D4×C1112yes—
987C22×C4C2×D4×C1112yes—
988C22×C4C2×D4×C1112yes—
989C22×C4C2×D4×C1112yes—
990C22×C4C2×D4×C1112yes—
991C22×C4C11×#4112yes—
992C22×C4C11×#4112yes—
993C22×C4C11×#4112yes—
994C22×C4C11×#4112yes—
995C4⋊C4—44no—
996C4⋊C4—44no—
997C4⋊C4—44no—
998C4⋊C4—44no—
999C22⋊C4—28no—
1000C22⋊C4—44no—
1001C22⋊C4—44no—
1002C22⋊C4—44no—
1003C22⋊C4—44no—
1004C22⋊C4—44no—
1005C22⋊C4—44no—
1006C22⋊C4—44no—
1007C22⋊C4—44no—
1008C22⋊C4—44no—
1009C22⋊C4—44no—
1010C22⋊C4—44no—
1011C22⋊C4—44no—
1012C22⋊C4—44no—
1013C42—44no—
1014C11#1549811yescharacteristic, direct product factor, Sylow
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—22no—
1028C23—22no—
1029C23—22no—
1030C23—22no—
1031C23—22no—
1032C23—22no—
1033C23—22no—
1034C23—22no—
1035C23—22no—
1036C23—22no—
1037C23—22no—
1038C23—22no—
1039C23—22no—
1040C23—22no—
1041C23—22no—
1042C23—22no—
1043C23—22no—
1044C23—22no—
1045C23—22no—
1046C23—22no—
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—
1111C23—41no—
1112C23—41no—
1113C23—41no—
1114C23—41no—
1115C23—41no—
1116C23—41no—
1117C23—41no—
1118C23—41no—
1119C23C11×#12114yes—
1120C23C22×D4×C1111yescharacteristic
1121C23C22×D4×C1111yescharacteristic
1122C23C22×D4×C1111yescharacteristic
1123C23C22×D4×C1111yescharacteristic
1124C23C2×C11×#4111yescharacteristic
1125C23C2×C11×#4111yescharacteristic
1126C23C2×C11×#4111yescharacteristic
1127C23C2×C11×#4111yescharacteristic
1128C23C2×C11×#4111yescharacteristic
1129C23C11×H(5,𝔽2)11yescharacteristic
1130C23C11×H(5,𝔽2)11yescharacteristic
1131C23C11×H(5,𝔽2)11yescharacteristic
1132C23C11×H(5,𝔽2)11yescharacteristic
1133C23C11×H(5,𝔽2)11yescharacteristic
1134C23C11×2−1+411yescharacteristic
1135D4—416no—
1136D4—416no—
1137D4—416no—
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—22no—
1163C2×C4—22no—
1164C2×C4—22no—
1165C2×C4—22no—
1166C2×C4—22no—
1167C2×C4—22no—
1168C2×C4—416no—
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×C4—41no—
1213C2×C4—41no—
1214C2×C4—41no—
1215C2×C4—41no—
1216C2×C4—41no—
1217C2×C4—41no—
1218C2×C4—41no—
1219C2×C4—41no—
1220C2×C4—41no—
1221C2×C4C11×#12114yes—
1222C2×C4C11×#12314yes—
1223C22—24no—
1224C22—24no—
1225C22—24no—
1226C22—42no—
1227C22—42no—
1228C22—42no—
1229C22—42no—
1230C22—42no—
1231C22—42no—
1232C22—42no—
1233C22—42no—
1234C22—42no—
1235C22—42no—
1236C22—42no—
1237C22—42no—
1238C22—42no—
1239C22—42no—
1240C22—42no—
1241C22—42no—
1242C22—42no—
1243C22—42no—
1244C22—42no—
1245C22—42no—
1246C22—42no—
1247C22—42no—
1248C22—42no—
1249C22—42no—
1250C22—42no—
1251C22—42no—
1252C22—81no—
1253C22—81no—
1254C22—81no—
1255C22—81no—
1256C22—81no—
1257C22—81no—
1258C22—81no—
1259C22—81no—
1260C22—81no—
1261C22—81no—
1262C22—81no—
1263C22—81no—
1264C22—81no—
1265C22—81no—
1266C22—81no—
1267C22—81no—
1268C22C2×C11×#12111yescharacteristic
1269C22C2×C11×#12111yescharacteristic
1270C22C2×C11×#12311yescharacteristic
1271C22C11×#52511yescharacteristic
1272C22C11×#53211yescharacteristic
1273C22C11×#53211yescharacteristic
1274C22C11×#53411yescharacteristic
1275C22C11×#53411yescharacteristic
1276C22C11×#53411yescharacteristic
1277C22C11×#53711yescharacteristic
1278C22C11×#53811yescharacteristic
1279C22C11×#54011yescharacteristic
1280C22C11×#54011yescharacteristic
1281C22C11×#54211yescharacteristic
1282C22C11×#54211yescharacteristic
1283C22D42×C1111yescharacteristic
1284C22D42×C1111yescharacteristic
1285C22D42×C1111yescharacteristic
1286C22D42×C1111yescharacteristic
1287C22C11×#54611yescharacteristic
1288C22C11×#54611yescharacteristic
1289C22C11×#54611yescharacteristic
1290C22C11×#54611yescharacteristic
1291C22C11×#54711yescharacteristic
1292C22C11×#54711yescharacteristic
1293C22C11×#54811yescharacteristic
1294C22C11×#55011yescharacteristic
1295C22C11×#55111yescharacteristic
1296C22C11×#55111yescharacteristic
1297C22C11×#55311yescharacteristic
1298C22C11×#55311yescharacteristic
1299C22C11×#55311yescharacteristic
1300C22C11×#55911yescharacteristic
1301C22C11×H(3,𝔽4)11yescharacteristic
1302C22C11×#56211yescharacteristic
1303C4—24no—
1304C4—24no—
1305C4—42no—
1306C4—42no—
1307C4—42no—
1308C4—42no—
1309C4—42no—
1310C4—42no—
1311C4—81no—
1312C4—81no—
1313C4—81no—
1314C4—81no—
1315C2—44no—
1316C2—82no—
1317C2—82no—
1318C2C11×#241211yescharacteristic
1319C2C11×#241611yescharacteristic
1320C2C11×#242211yescharacteristic
1321C2C11×#242411yescharacteristic
1322C2C11×#242811yescharacteristic
1323C2C11×#244511yescharacteristic
1324C2C11×#246111yescharacteristic
1325C2C11×#254311yescharacteristic
1326C2C11×#260211yescharacteristic
1327C2C11×#267111yescharacteristic
1328C2C11×#267911yescharacteristic
1329C2C11×#270111yescharacteristic
1330C2C11×#271211yescharacteristic
1331C2C11×#273011yescharacteristic
1332C2C11×#275311yescharacteristic
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×#394C2semidirect
2. C2×C11×#394C2semidirect
3. C2×C11×#394C2semidirect
5. C2×C11×#390C2semidirect
6. C2×C11×#386C2semidirect
7. C2×C11×#386C2semidirect
8. C2×C11×#385C2semidirect
9. C11×#1441C2semidirect
10. C11×#1440C2semidirect
11. C11×#1440C2semidirect
12. C11×#1439C2semidirect
13. C11×#1439C2semidirect
14. C11×#1437C2semidirect
15. C11×C4⋊#95C2semidirect
113. C2×C11×C4⋊C4D4semidirect
154. C2×C11×C22⋊C4D4semidirect
155. C2×C11×C22⋊C4D4semidirect
171. #15498C11direct (N × H)
349. C2×#394C2×C11semidirect
350. C2×#394C2×C11semidirect
351. C2×#394C2×C11semidirect
353. C2×#390C2×C11semidirect
354. C2×#386C2×C11semidirect
355. C2×#386C2×C11semidirect
356. C2×#385C2×C11semidirect
357. #1441C2×C11semidirect
358. #1440C2×C11semidirect
359. #1440C2×C11semidirect
360. #1439C2×C11semidirect
361. #1439C2×C11semidirect
362. #1437C2×C11semidirect
363. C4⋊#95C2×C11semidirect
761. C2×C4⋊C4D4×C11semidirect
802. C2×C22⋊C4D4×C11semidirect
803. C2×C22⋊C4D4×C11semidirect
1014. C11#15498direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3942
C2×C11×#3922
C2×C11×#3902
C2×C11×#3862
C2×C11×#3852
C11×#14412
C11×#14402
C11×#14392
C11×#14372
C11×C4⋊#952
#1549811