Finite Group Databasebeta

← C11×#18384 #14595577

Subgroups — C11×#18384 #14595577

Order 2816.

1082 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3505C211yesmaximal, characteristic, complemented
2C11×#3187C211yesmaximal, characteristic, complemented
3C11×#3186C211yesmaximal, characteristic, complemented
4C11×#2543C211yesmaximal, characteristic, complemented
5C11×#1612C212yesmaximal, complemented
6C11×#1609C212yesmaximal, complemented
7C11×#1600C212yesmaximal, complemented
8C11×#1597C212yesmaximal, complemented
9C2×C11×#328C211yesmaximal, characteristic, complemented
10C2×C11×#327C211yesmaximal, characteristic, complemented
11C11×#1459C211yesmaximal, characteristic, complemented
12C11×#553—22no—
13C11×#553—21no—
14C11×#552—21no—
15C11×#551—22no—
16C11×#548—21no—
17C11×#546—21no—
18C11×#539C2212yes—
19C11×#538C2212yes—
20C11×#534—21no—
21C11×#529—21no—
22C11×#525—21no—
23C2×C11×C22⋊Q8C2211yescharacteristic
24C2×C11×#121—21no—
25C2×C11×#121C2211yescharacteristic
26C2×C11×#121C2211yescharacteristic
27C11×#518—21no—
28C2×C4×D4×C11C2211yescharacteristic
29C11×#483C2212yescomplemented
30C11×#481—21no—
31C11×#480—21no—
32C11×#480C2212yes—
33C11×#466—22no—
34C11×#465—22no—
35C11×#450C2212yescomplemented
36C11×#448—21no—
37C11×#447—21no—
38C11×#447C2212yes—
39C2×C11×C22⋊C8C2211yescharacteristic
40C2×C11×C22⋊C8C2211yescharacteristic
41C11×#398C2211yescharacteristic, complemented
42C11×#397C2211yescharacteristic, complemented
43C11×#394C2211yescharacteristic, complemented
44C11×#392C2211yescharacteristic, complemented
45C11×#388—21no—
46C11×#386—21no—
47C11×#386—21no—
48C2×C11×#95C2211yescharacteristic
49C11×#328C2212yescomplemented
50C11×#328C2212yescomplemented
51C11×#327C2212yes—
52C11×#327C2212yes—
53C11×#324C2212yescomplemented
54C11×#323C2212yescomplemented
55C2×C11×#41—21no—
56C22×Q8×C11D411yescharacteristic, complemented
57C22×D4×C11—21no—
58C22×D4×C11—21no—
59C22×D4×C11—21no—
60C22×D4×C11D411yescharacteristic
61C22×D4×C11D411yescharacteristic, complemented
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11D411yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C2×C11×SD16—22no—
67C2×C11×D8—22no—
68C22×C8×C11—21no—
69C22×C8×C11—21no—
70C11×#126—22no—
71C11×#126—22no—
72C11×#126—22no—
73C11×#125—21no—
74C11×#125—22no—
75C11×#124—21no—
76C11×#124—22no—
77C11×#123—22no—
78C11×#123—22no—
79C11×#123—22no—
80C11×#123—22no—
81C11×#123—22no—
82C11×C22⋊Q8—21no—
83C11×C22⋊Q8—22no—
84C11×C22⋊Q8—21no—
85C11×C22⋊Q8—21no—
86C11×C22⋊Q8D412yescomplemented
87C11×C22⋊Q8C2312yes—
88C11×#121—21no—
89C11×#121—22no—
90C11×#121—22no—
91C11×#121—22no—
92C11×#121—21no—
93C11×#121—21no—
94C11×#121—21no—
95C11×#121—21no—
96C11×#121—21no—
97C11×#121—21no—
98C11×#121—44no—
99C11×#121D412yescomplemented
100C11×#121C2312yes—
101C11×#120—22no—
102C11×#120—22no—
103C4×Q8×C11—21no—
104C4×D4×C11—22no—
105C4×D4×C11—22no—
106C4×D4×C11—22no—
107C4×D4×C11—21no—
108C4×D4×C11—21no—
109C4×D4×C11—21no—
110C4×D4×C11—21no—
111C4×D4×C11—21no—
112C4×D4×C11—22no—
113C4×D4×C11—22no—
114C11×#117—22no—
115C11×#117—21no—
116C11×#117—22no—
117C2×C11×C4⋊C4—21no—
118C2×C11×C4⋊C4—21no—
119C2×C11×C4⋊C4D411yescharacteristic, complemented
120C2×C11×C4⋊C4D411yescharacteristic, complemented
121C2×C11×C4⋊C4C2311yescharacteristic
122C2×C11×C4⋊C4C2311yescharacteristic
123C2×C11×C22⋊C4—22no—
124C2×C11×C22⋊C4—21no—
125C2×C11×C22⋊C4—21no—
126C2×C11×C22⋊C4—21no—
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4—21no—
129C2×C11×C22⋊C4—21no—
130C2×C11×C22⋊C4—21no—
131C2×C11×C22⋊C4D411yescharacteristic
132C2×C11×C22⋊C4C2311yescharacteristic
133C2×C42×C11D411yescharacteristic
134C11×#107—22no—
135C11×#106—22no—
136C11×#103—22no—
137C11×#102—22no—
138C11×#102—22no—
139C11×#102—22no—
140C11×C22⋊C8—21no—
141C11×C22⋊C8—21no—
142C11×C22⋊C8C2312yes—
143C11×C22⋊C8C2312yes—
144C11×#95—21no—
145C11×#95—21no—
146C11×#95—21no—
147C11×#95C2311yescharacteristic
148C11×#95C2311yescharacteristic
149#18384C1111yesmaximal, characteristic, direct product factor, Sylow
150C24×C11—21no—
151C24×C11—21no—
152C24×C11C2×D411yescharacteristic
153C24×C11C2×D411yescharacteristic
154C11×#41—82no—
155C2×Q8×C11—21no—
156C2×Q8×C11—81no—
157C2×Q8×C11C2×D412yes—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—22no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—42no—
170C2×D4×C11—42no—
171C2×D4×C11—42no—
172C2×D4×C11—42no—
173C2×D4×C11—41no—
174C2×D4×C11—41no—
175C2×D4×C11—42no—
176C2×D4×C11—42no—
177C2×D4×C11—81no—
178C2×D4×C11—81no—
179C2×D4×C11—81no—
180C2×D4×C11C2×D412yes—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—22no—
184C22×C4×C11—22no—
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—42no—
192C22×C4×C11—42no—
193C22×C4×C11—81no—
194C22×C4×C11—81no—
195C22×C4×C11—81no—
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2411yescharacteristic
205C11×SD16—82no—
206C11×D8—82no—
207C2×C8×C11—22no—
208C2×C8×C11—22no—
209C2×C8×C11—81no—
210C2×C8×C11—81no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—22no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—42no—
224C11×C4⋊C4C2×D412yes—
225C11×C4⋊C4C2×D412yes—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—21no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—21no—
235C11×C22⋊C4—22no—
236C11×C22⋊C4—22no—
237C11×C22⋊C4—22no—
238C11×C22⋊C4—21no—
239C11×C22⋊C4—21no—
240C11×C22⋊C4—42no—
241C11×C22⋊C4—42no—
242C11×C22⋊C4—42no—
243C11×C22⋊C4—41no—
244C11×C22⋊C4—41no—
245C11×C22⋊C4—81no—
246C42×C11—22no—
247C42×C11—22no—
248C42×C11—21no—
249C42×C11—21no—
250#3505C2×C1111yescharacteristic, complemented
251#3187C2×C1111yescharacteristic, complemented
252#3186C2×C1111yescharacteristic, complemented
253#2543C2×C1111yescharacteristic, complemented
254#1612C2×C1112yescomplemented
255#1609C2×C1112yescomplemented
256#1600C2×C1112yescomplemented
257#1597C2×C1112yescomplemented
258C2×#328C2×C1111yescharacteristic, complemented
259C2×#327C2×C1111yescharacteristic, complemented
260#1459C2×C1111yescharacteristic, complemented
261C23×C11—21no—
262C23×C11—22no—
263C23×C11—21no—
264C23×C11—21no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—41no—
269C23×C11—41no—
270C23×C11—41no—
271C23×C11—41no—
272C23×C11—41no—
273C23×C11—42no—
274C23×C11—41no—
275C23×C11—41no—
276C23×C11—41no—
277C23×C11—81no—
278C23×C11—81no—
279C23×C11#12011yescharacteristic
280C23×C11#12011yescharacteristic
281C23×C11#13512yes—
282C23×C11AGL(1,ℤ/8)12yes—
283C23×C11C22×D411yescharacteristic
284Q8×C11—42no—
285Q8×C11—42no—
286D4×C11—42no—
287D4×C11—42no—
288D4×C11—42no—
289D4×C11—42no—
290D4×C11—42no—
291D4×C11—42no—
292D4×C11—42no—
293D4×C11—42no—
294D4×C11—44no—
295D4×C11—82no—
296D4×C11—82no—
297D4×C11—84no—
298D4×C11—82no—
299D4×C11—82no—
300C2×C4×C11—22no—
301C2×C4×C11—21no—
302C2×C4×C11—21no—
303C2×C4×C11—22no—
304C2×C4×C11—21no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—21no—
308C2×C4×C11—21no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—41no—
314C2×C4×C11—41no—
315C2×C4×C11—42no—
316C2×C4×C11—41no—
317C2×C4×C11—41no—
318C2×C4×C11—42no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—81no—
328C2×C4×C11—81no—
329C2×C4×C11—81no—
330C2×C4×C11—82no—
331C2×C4×C11—82no—
332C2×C4×C11—84no—
333C2×C4×C11#12011yescharacteristic
334C2×C4×C11#12011yescharacteristic
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C8×C11—42no—
338C8×C11—42no—
339#553—22no—
340#553—21no—
341#552—21no—
342#551—22no—
343#548—21no—
344#546—21no—
345#539C22×C1112yes—
346#538C22×C1112yes—
347#534—21no—
348#529—21no—
349#525—21no—
350C2×C22⋊Q8C22×C1111yescharacteristic
351C2×#121—21no—
352C2×#121C22×C1111yescharacteristic
353C2×#121C22×C1111yescharacteristic
354#518—21no—
355C2×C4×D4C22×C1111yescharacteristic
356#483C22×C1112yescomplemented
357#481—21no—
358#480—21no—
359#480C22×C1112yes—
360#466—22no—
361#465—22no—
362#450C22×C1112yescomplemented
363#448—21no—
364#447—21no—
365#447C22×C1112yes—
366C2×C22⋊C8C22×C1111yescharacteristic
367C2×C22⋊C8C22×C1111yescharacteristic
368#398C22×C1111yescharacteristic, complemented
369#397C22×C1111yescharacteristic, complemented
370#394C22×C1111yescharacteristic, complemented
371#392C22×C1111yescharacteristic, complemented
372#388—21no—
373#386—21no—
374#386—21no—
375C2×#95C22×C1111yescharacteristic
376#328C22×C1112yescomplemented
377#328C22×C1112yescomplemented
378#327C22×C1112yes—
379#327C22×C1112yes—
380#324C22×C1112yescomplemented
381#323C22×C1112yescomplemented
382C22×C11—21no—
383C22×C11—21no—
384C22×C11—21no—
385C22×C11—21no—
386C22×C11—21no—
387C22×C11—21no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—41no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—41no—
395C22×C11—41no—
396C22×C11—42no—
397C22×C11—81no—
398C22×C11—81no—
399C22×C11—81no—
400C22×C11—81no—
401C22×C11—81no—
402C22×C11—81no—
403C22×C11—81no—
404C22×C11—81no—
405C22×C11—162no—
406C22×C11#44912yes—
407C22×C11#44912yes—
408C22×C11C2×#12011yescharacteristic
409C22×C11C2×#13511yescharacteristic
410C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
411C4×C11—21no—
412C4×C11—21no—
413C4×C11—21no—
414C4×C11—21no—
415C4×C11—42no—
416C4×C11—41no—
417C4×C11—42no—
418C4×C11—41no—
419C4×C11—42no—
420C4×C11—41no—
421C4×C11—42no—
422C4×C11—81no—
423C4×C11—81no—
424C2×#41—21no—
425C22×Q8D4×C1111yescharacteristic, complemented
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429C22×D4D4×C1111yescharacteristic
430C22×D4D4×C1111yescharacteristic, complemented
431C22×D4C23×C1111yescharacteristic
432C23×C4—21no—
433C23×C4D4×C1111yescharacteristic
434C23×C4C23×C1111yescharacteristic
435C2×SD16—22no—
436C2×D8—22no—
437C22×C8—21no—
438C22×C8—21no—
439#126—22no—
440#126—22no—
441#126—22no—
442#125—21no—
443#125—22no—
444#124—21no—
445#124—22no—
446#123—22no—
447#123—22no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8—21no—
452C22⋊Q8—22no—
453C22⋊Q8—21no—
454C22⋊Q8—21no—
455C22⋊Q8D4×C1112yescomplemented
456C22⋊Q8C23×C1112yes—
457#121—21no—
458#121—22no—
459#121—22no—
460#121—22no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—44no—
468#121D4×C1112yescomplemented
469#121C23×C1112yes—
470#120—22no—
471#120—22no—
472C4×Q8—21no—
473C4×D4—22no—
474C4×D4—22no—
475C4×D4—22no—
476C4×D4—21no—
477C4×D4—21no—
478C4×D4—21no—
479C4×D4—21no—
480C4×D4—21no—
481C4×D4—22no—
482C4×D4—22no—
483#117—22no—
484#117—21no—
485#117—22no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4D4×C1111yescharacteristic, complemented
489C2×C4⋊C4D4×C1111yescharacteristic, complemented
490C2×C4⋊C4C23×C1111yescharacteristic
491C2×C4⋊C4C23×C1111yescharacteristic
492C2×C22⋊C4—22no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—21no—
496C2×C22⋊C4—21no—
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4D4×C1111yescharacteristic
501C2×C22⋊C4C23×C1111yescharacteristic
502C2×C42D4×C1111yescharacteristic
503#107—22no—
504#106—22no—
505#103—22no—
506#102—22no—
507#102—22no—
508#102—22no—
509C22⋊C8—21no—
510C22⋊C8—21no—
511C22⋊C8C23×C1112yes—
512C22⋊C8C23×C1112yes—
513#95—21no—
514#95—21no—
515#95—21no—
516#95C23×C1111yescharacteristic
517#95C23×C1111yescharacteristic
518C2×C11—21no—
519C2×C11—21no—
520C2×C11—22no—
521C2×C11—22no—
522C2×C11—81no—
523C2×C11—82no—
524C2×C11—161no—
525C2×C11C2×#44911yescharacteristic
526C2×C11#301811yescharacteristic
527C2×C11#302611yescharacteristic
528C24—21no—
529C24—21no—
530C24C2×D4×C1111yescharacteristic
531C24C2×D4×C1111yescharacteristic
532#41—82no—
533C2×Q8—21no—
534C2×Q8—81no—
535C2×Q8C2×D4×C1112yes—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—42no—
548C2×D4—42no—
549C2×D4—42no—
550C2×D4—42no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—42no—
554C2×D4—42no—
555C2×D4—81no—
556C2×D4—81no—
557C2×D4—81no—
558C2×D4C2×D4×C1112yes—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—42no—
570C22×C4—42no—
571C22×C4—81no—
572C22×C4—81no—
573C22×C4—81no—
574C22×C4C2×D4×C1111yescharacteristic
575C22×C4C2×D4×C1111yescharacteristic
576C22×C4C2×D4×C1111yescharacteristic
577C22×C4C2×D4×C1111yescharacteristic
578C22×C4C2×D4×C1111yescharacteristic
579C22×C4C2×D4×C1111yescharacteristic
580C22×C4C2×D4×C1111yescharacteristic
581C22×C4C2×D4×C1111yescharacteristic
582C22×C4C24×C1111yescharacteristic
583SD16—82no—
584D8—82no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—81no—
588C2×C8—81no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—42no—
602C4⋊C4C2×D4×C1112yes—
603C4⋊C4C2×D4×C1112yes—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C22⋊C4—42no—
621C22⋊C4—41no—
622C22⋊C4—41no—
623C22⋊C4—81no—
624C42—22no—
625C42—22no—
626C42—21no—
627C42—21no—
628C11#1838411yescharacteristic, direct product factor, Sylow
629C23—21no—
630C23—22no—
631C23—21no—
632C23—21no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—41no—
643C23—41no—
644C23—41no—
645C23—81no—
646C23—81no—
647C23C11×#12011yescharacteristic
648C23C11×#12011yescharacteristic
649C23C11×#13512yes—
650C23C11×AGL(1,ℤ/8)12yes—
651C23C22×D4×C1111yescharacteristic
652Q8—42no—
653Q8—42no—
654D4—42no—
655D4—42no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—44no—
663D4—82no—
664D4—82no—
665D4—84no—
666D4—82no—
667D4—82no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—81no—
696C2×C4—81no—
697C2×C4—81no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—84no—
701C2×C4C11×#12011yescharacteristic
702C2×C4C11×#12011yescharacteristic
703C2×C4C22×D4×C1111yescharacteristic
704C2×C4C22×D4×C1111yescharacteristic
705C8—42no—
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—41no—
717C22—42no—
718C22—42no—
719C22—41no—
720C22—41no—
721C22—42no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—162no—
731C22C11×#44912yes—
732C22C11×#44912yes—
733C22C2×C11×#12011yescharacteristic
734C22C2×C11×#13511yescharacteristic
735C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
736C4—21no—
737C4—21no—
738C4—21no—
739C4—21no—
740C4—42no—
741C4—41no—
742C4—42no—
743C4—41no—
744C4—42no—
745C4—41no—
746C4—42no—
747C4—81no—
748C4—81no—
749C2—21no—
750C2—21no—
751C2—22no—
752C2—22no—
753C2—81no—
754C2—82no—
755C2—161no—
756C2C2×C11×#44911yescharacteristic
757C2C11×#301811yescharacteristic
758C2C11×#302611yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3505C2semidirect
2. C11×#3187C2semidirect
3. C11×#3186C2semidirect
4. C11×#2543C2semidirect
5. C11×#1612C2semidirect
6. C11×#1609C2semidirect
7. C11×#1600C2semidirect
8. C11×#1597C2semidirect
9. C2×C11×#328C2semidirect
10. C2×C11×#327C2semidirect
11. C11×#1459C2semidirect
29. C11×#483C22semidirect
35. C11×#450C22semidirect
41. C11×#398C22semidirect
42. C11×#397C22semidirect
43. C11×#394C22semidirect
44. C11×#392C22semidirect
49. C11×#328C22semidirect
50. C11×#328C22semidirect
53. C11×#324C22semidirect
54. C11×#323C22semidirect
56. C22×Q8×C11D4semidirect
61. C22×D4×C11D4semidirect
86. C11×C22⋊Q8D4semidirect
99. C11×#121D4semidirect
119. C2×C11×C4⋊C4D4semidirect
120. C2×C11×C4⋊C4D4semidirect
149. #18384C11direct (N × H)
250. #3505C2×C11semidirect
251. #3187C2×C11semidirect
252. #3186C2×C11semidirect
253. #2543C2×C11semidirect
254. #1612C2×C11semidirect
255. #1609C2×C11semidirect
256. #1600C2×C11semidirect
257. #1597C2×C11semidirect
258. C2×#328C2×C11semidirect
259. C2×#327C2×C11semidirect
260. #1459C2×C11semidirect
356. #483C22×C11semidirect
362. #450C22×C11semidirect
368. #398C22×C11semidirect
369. #397C22×C11semidirect
370. #394C22×C11semidirect
371. #392C22×C11semidirect
376. #328C22×C11semidirect
377. #328C22×C11semidirect
380. #324C22×C11semidirect
381. #323C22×C11semidirect
425. C22×Q8D4×C11semidirect
430. C22×D4D4×C11semidirect
455. C22⋊Q8D4×C11semidirect
468. #121D4×C11semidirect
488. C2×C4⋊C4D4×C11semidirect
489. C2×C4⋊C4D4×C11semidirect
628. C11#18384direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35052
C11×#31872
C11×#31862
C11×#25432
C11×#16122
C11×#16092
C11×#16002
C11×#15972
C2×C11×#3282
C2×C11×#3272
C11×#14592
#1838411