Finite Group Databasebeta

← C11×#18933 #14596126

Subgroups — C11×#18933 #14596126

Order 2816.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3544C211yesmaximal, characteristic
2C11×#3252C211yesmaximal, characteristic, complemented
3C11×#3233C211yesmaximal, characteristic, complemented
4C11×#3209C211yesmaximal, characteristic, complemented
5C11×#1646C211yesmaximal, characteristic, complemented
6C11×#1645C211yesmaximal, characteristic, complemented
7C11×#1644C211yesmaximal, characteristic, complemented
8C11×#1643C211yesmaximal, characteristic, complemented
9C11×#1634C211yesmaximal, characteristic, complemented
10C11×#1633C211yesmaximal, characteristic, complemented
11C11×#1632C211yesmaximal, characteristic, complemented
12C11×#1632C211yesmaximal, characteristic, complemented
13C11×#1548C211yesmaximal, characteristic, complemented
14C11×#1495C211yesmaximal, characteristic, complemented
15C11×#1482C211yesmaximal, characteristic, complemented
16C11×#563—22no—
17Q82×C11C2211yescharacteristic
18C11×#555C2211yescharacteristic
19C11×#554C2211yescharacteristic
20C11×#554C2211yescharacteristic
21C11×#552—21no—
22C11×#552—21no—
23C11×#547—21no—
24C11×#547—21no—
25C11×#544—21no—
26C11×#544—21no—
27C11×#542—21no—
28C11×#542—21no—
29C11×#536—22no—
30C11×#533C2211yescharacteristic
31C2×C11×C4⋊Q8C2211yescharacteristic
32C11×#529C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C11×#499—21no—
35C11×#494C2211yescharacteristic
36C11×#494C2211yescharacteristic
37C11×#488—21no—
38C11×#487C2211yescharacteristic
39C11×#487C2211yescharacteristic
40C11×#485—21no—
41C11×#482—21no—
42C11×#479—21no—
43C11×#477C2211yescharacteristic
44C11×#477C2211yescharacteristic
45C11×#476C2211yescharacteristic
46C11×#476C2211yescharacteristic
47C11×#475C2211yescharacteristic
48C11×#474C2211yescharacteristic
49C11×#470—21no—
50C11×#468—21no—
51C11×#464—21no—
52C11×#462—22no—
53C11×#462C2211yescharacteristic
54C11×#461C2211yescharacteristic
55C11×#451—22no—
56C11×#431C2211yescharacteristic
57C11×#431C2211yescharacteristic
58C11×#423C2211yescharacteristic
59C11×#333C2211yescharacteristic
60C11×#333C2211yescharacteristic
61C11×#333C2211yescharacteristic
62C11×#333C2211yescharacteristic
63C11×Q8⋊C8C2211yescharacteristic
64C11×Q8⋊C8C2211yescharacteristic
65C11×Q8⋊C8C2211yescharacteristic
66C11×Q8⋊C8C2211yescharacteristic
67C11×D4⋊C8C2211yescharacteristic
68C11×D4⋊C8C2211yescharacteristic
69C11×D4⋊C8C2211yescharacteristic
70C11×D4⋊C8C2211yescharacteristic
71C2×C11×#41—22no—
72C22×Q8×C11D412yes—
73C2×C11×Q16—22no—
74C2×C11×Q16—22no—
75C2×C11×Q16—21no—
76C2×C11×SD16—21no—
77C2×C11×M16—21no—
78C11×C4⋊Q8—22no—
79C11×C4⋊Q8—22no—
80C11×C4⋊Q8—21no—
81C11×C4⋊Q8—21no—
82C11×C4⋊Q8—21no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8D412yes—
85C11×C4⋊Q8C2311yescharacteristic
86C11×C4⋊Q8C2311yescharacteristic
87C11×C4⋊Q8C2311yescharacteristic
88C11×C4⋊Q8C2311yescharacteristic
89C11×#126—22no—
90C11×#126—22no—
91C11×#126—21no—
92C11×#126—21no—
93C11×#125—22no—
94C11×#125—22no—
95C11×#125—21no—
96C11×#125—21no—
97C11×#125—21no—
98C11×#125D411yescharacteristic
99C11×#125D411yescharacteristic
100C11×#124—22no—
101C11×#124—22no—
102C11×#124D411yescharacteristic
103C11×#124D411yescharacteristic
104C11×#123—22no—
105C11×#123—22no—
106C11×#123—22no—
107C11×#123—22no—
108C11×#123—21no—
109C11×#123—21no—
110C11×C22⋊Q8—22no—
111C11×C22⋊Q8—22no—
112C11×C22⋊Q8—22no—
113C11×C22⋊Q8—22no—
114C11×C22⋊Q8—22no—
115C11×C22⋊Q8—22no—
116C11×C22⋊Q8—21no—
117C11×C22⋊Q8—21no—
118C11×C22⋊Q8—21no—
119C11×C22⋊Q8—21no—
120C11×C22⋊Q8D411yescharacteristic
121C11×C22⋊Q8D411yescharacteristic
122C11×#121—21no—
123C11×#121—21no—
124C11×#121D411yescharacteristic
125C11×#121D411yescharacteristic
126C4×Q8×C11—21no—
127C4×Q8×C11—21no—
128C4×Q8×C11—21no—
129C4×Q8×C11—21no—
130C4×Q8×C11C2311yescharacteristic
131C4×Q8×C11C2311yescharacteristic
132C4×D4×C11—21no—
133C4×D4×C11—21no—
134C4×D4×C11—21no—
135C4×D4×C11—21no—
136C4×D4×C11C2311yescharacteristic
137C4×D4×C11C2311yescharacteristic
138C11×#117—22no—
139C11×#117—21no—
140C11×#117—21no—
141C11×#117—21no—
142C11×#117—21no—
143C11×#117—21no—
144C2×C11×C4⋊C4—21no—
145C2×C11×C4⋊C4—21no—
146C2×C11×C4⋊C4—21no—
147C2×C11×C4⋊C4—21no—
148C2×C42×C11C2311yescharacteristic
149C11×#107—21no—
150C11×#107—21no—
151C11×#107—21no—
152C11×#106—21no—
153C11×#106—21no—
154C11×#106—21no—
155C11×C4⋊C8—21no—
156C11×C4⋊C8—21no—
157C11×C4⋊C8C2311yescharacteristic
158C11×C4⋊C8C2311yescharacteristic
159C11×C4⋊C8C2311yescharacteristic
160C11×C4⋊C8C2311yescharacteristic
161C11×#103—22no—
162C11×#103—22no—
163C11×#103—21no—
164C11×#103—21no—
165C11×#103—21no—
166C11×#103—21no—
167C11×#103—21no—
168C11×#102—21no—
169C11×#102—21no—
170C11×#102—21no—
171C11×C22⋊C8—21no—
172C11×C22⋊C8—21no—
173C4×C8×C11—21no—
174C4×C8×C11C2311yescharacteristic
175C4×C8×C11C2311yescharacteristic
176#18933C1111yesmaximal, characteristic, direct product factor, Sylow
177C11×#41—84no—
178C2×Q8×C11—22no—
179C2×Q8×C11—22no—
180C2×Q8×C11—21no—
181C2×Q8×C11—21no—
182C2×Q8×C11—82no—
183C2×Q8×C11C2×D411yescharacteristic
184C2×Q8×C11C2×D411yescharacteristic
185C2×Q8×C11C2×D412yes—
186C2×Q8×C11C2×D412yes—
187C2×D4×C11—21no—
188C2×D4×C11—21no—
189C2×D4×C11—22no—
190C2×D4×C11C2×D411yescharacteristic
191C2×D4×C11C2×D411yescharacteristic
192C22×C4×C11—22no—
193C22×C4×C11—22no—
194C22×C4×C11—22no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C11×Q16—81no—
201C11×Q16—82no—
202C11×Q16—82no—
203C11×SD16—81no—
204C11×M16—81no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—22no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—21no—
234C11×C4⋊C4—21no—
235C11×C4⋊C4—41no—
236C11×C4⋊C4—41no—
237C11×C4⋊C4C2×D411yescharacteristic
238C11×C4⋊C4C2×D411yescharacteristic
239C11×C4⋊C4C2×D411yescharacteristic
240C11×C4⋊C4C2×D411yescharacteristic
241C11×C22⋊C4—22no—
242C11×C22⋊C4—22no—
243C11×C22⋊C4—22no—
244C11×C22⋊C4—22no—
245C11×C22⋊C4—21no—
246C11×C22⋊C4—21no—
247C11×C22⋊C4—21no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—21no—
250C11×C22⋊C4—21no—
251C11×C22⋊C4—21no—
252C11×C22⋊C4—21no—
253C11×C22⋊C4—21no—
254C11×C22⋊C4—21no—
255C11×C22⋊C4—41no—
256C42×C11—22no—
257C42×C11—22no—
258C42×C11—21no—
259C42×C11—21no—
260C42×C11—41no—
261C42×C11C2×D411yescharacteristic
262C42×C11C2×D411yescharacteristic
263C42×C11C2×D411yescharacteristic
264C42×C11C2411yescharacteristic
265#3544C2×C1111yescharacteristic
266#3252C2×C1111yescharacteristic, complemented
267#3233C2×C1111yescharacteristic, complemented
268#3209C2×C1111yescharacteristic, complemented
269#1646C2×C1111yescharacteristic, complemented
270#1645C2×C1111yescharacteristic, complemented
271#1644C2×C1111yescharacteristic, complemented
272#1643C2×C1111yescharacteristic, complemented
273#1634C2×C1111yescharacteristic, complemented
274#1633C2×C1111yescharacteristic, complemented
275#1632C2×C1111yescharacteristic, complemented
276#1632C2×C1111yescharacteristic, complemented
277#1548C2×C1111yescharacteristic, complemented
278#1495C2×C1111yescharacteristic, complemented
279#1482C2×C1111yescharacteristic, complemented
280C23×C11—21no—
281C23×C11—21no—
282C23×C11#12011yescharacteristic
283Q8×C11—21no—
284Q8×C11—21no—
285Q8×C11—21no—
286Q8×C11—21no—
287Q8×C11—42no—
288Q8×C11—42no—
289Q8×C11—42no—
290Q8×C11—41no—
291Q8×C11—41no—
292Q8×C11—82no—
293Q8×C11—82no—
294D4×C11—21no—
295D4×C11—21no—
296D4×C11—21no—
297D4×C11—21no—
298D4×C11—42no—
299D4×C11—42no—
300D4×C11—82no—
301C2×C4×C11—21no—
302C2×C4×C11—21no—
303C2×C4×C11—21no—
304C2×C4×C11—21no—
305C2×C4×C11—21no—
306C2×C4×C11—21no—
307C2×C4×C11—21no—
308C2×C4×C11—21no—
309C2×C4×C11—22no—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—22no—
313C2×C4×C11—41no—
314C2×C4×C11—44no—
315C2×C4×C11—41no—
316C2×C4×C11—41no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—82no—
322C2×C4×C11—82no—
323C2×C4×C11#12011yescharacteristic
324C2×C4×C11#12011yescharacteristic
325C2×C4×C11#12011yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C22×D411yescharacteristic
328C2×C4×C11C22×D411yescharacteristic
329C8×C11—41no—
330C8×C11—41no—
331C8×C11—41no—
332C8×C11—41no—
333C8×C11—41no—
334C8×C11—41no—
335#563—22no—
336Q82C22×C1111yescharacteristic
337#555C22×C1111yescharacteristic
338#554C22×C1111yescharacteristic
339#554C22×C1111yescharacteristic
340#552—21no—
341#552—21no—
342#547—21no—
343#547—21no—
344#544—21no—
345#544—21no—
346#542—21no—
347#542—21no—
348#536—22no—
349#533C22×C1111yescharacteristic
350C2×C4⋊Q8C22×C1111yescharacteristic
351#529C22×C1111yescharacteristic
352#529C22×C1111yescharacteristic
353#499—21no—
354#494C22×C1111yescharacteristic
355#494C22×C1111yescharacteristic
356#488—21no—
357#487C22×C1111yescharacteristic
358#487C22×C1111yescharacteristic
359#485—21no—
360#482—21no—
361#479—21no—
362#477C22×C1111yescharacteristic
363#477C22×C1111yescharacteristic
364#476C22×C1111yescharacteristic
365#476C22×C1111yescharacteristic
366#475C22×C1111yescharacteristic
367#474C22×C1111yescharacteristic
368#470—21no—
369#468—21no—
370#464—21no—
371#462—22no—
372#462C22×C1111yescharacteristic
373#461C22×C1111yescharacteristic
374#451—22no—
375#431C22×C1111yescharacteristic
376#431C22×C1111yescharacteristic
377#423C22×C1111yescharacteristic
378#333C22×C1111yescharacteristic
379#333C22×C1111yescharacteristic
380#333C22×C1111yescharacteristic
381#333C22×C1111yescharacteristic
382Q8⋊C8C22×C1111yescharacteristic
383Q8⋊C8C22×C1111yescharacteristic
384Q8⋊C8C22×C1111yescharacteristic
385Q8⋊C8C22×C1111yescharacteristic
386D4⋊C8C22×C1111yescharacteristic
387D4⋊C8C22×C1111yescharacteristic
388D4⋊C8C22×C1111yescharacteristic
389D4⋊C8C22×C1111yescharacteristic
390C22×C11—21no—
391C22×C11—21no—
392C22×C11—21no—
393C22×C11—41no—
394C22×C11—41no—
395C22×C11—41no—
396C22×C11—41no—
397C22×C11—41no—
398C22×C11—41no—
399C22×C11C2×#12011yescharacteristic
400C4×C11—21no—
401C4×C11—21no—
402C4×C11—21no—
403C4×C11—21no—
404C4×C11—41no—
405C4×C11—41no—
406C4×C11—41no—
407C4×C11—41no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11—41no—
411C4×C11—41no—
412C4×C11—81no—
413C4×C11—81no—
414C4×C11#57711yescharacteristic
415C4×C11#57811yescharacteristic
416C4×C11#57811yescharacteristic
417C4×C11#57811yescharacteristic
418C2×#41—22no—
419C22×Q8D4×C1112yes—
420C2×Q16—22no—
421C2×Q16—22no—
422C2×Q16—21no—
423C2×SD16—21no—
424C2×M16—21no—
425C4⋊Q8—22no—
426C4⋊Q8—22no—
427C4⋊Q8—21no—
428C4⋊Q8—21no—
429C4⋊Q8—21no—
430C4⋊Q8—21no—
431C4⋊Q8D4×C1112yes—
432C4⋊Q8C23×C1111yescharacteristic
433C4⋊Q8C23×C1111yescharacteristic
434C4⋊Q8C23×C1111yescharacteristic
435C4⋊Q8C23×C1111yescharacteristic
436#126—22no—
437#126—22no—
438#126—21no—
439#126—21no—
440#125—22no—
441#125—22no—
442#125—21no—
443#125—21no—
444#125—21no—
445#125D4×C1111yescharacteristic
446#125D4×C1111yescharacteristic
447#124—22no—
448#124—22no—
449#124D4×C1111yescharacteristic
450#124D4×C1111yescharacteristic
451#123—22no—
452#123—22no—
453#123—22no—
454#123—22no—
455#123—21no—
456#123—21no—
457C22⋊Q8—22no—
458C22⋊Q8—22no—
459C22⋊Q8—22no—
460C22⋊Q8—22no—
461C22⋊Q8—22no—
462C22⋊Q8—22no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8D4×C1111yescharacteristic
468C22⋊Q8D4×C1111yescharacteristic
469#121—21no—
470#121—21no—
471#121D4×C1111yescharacteristic
472#121D4×C1111yescharacteristic
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8—21no—
477C4×Q8C23×C1111yescharacteristic
478C4×Q8C23×C1111yescharacteristic
479C4×D4—21no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4C23×C1111yescharacteristic
484C4×D4C23×C1111yescharacteristic
485#117—22no—
486#117—21no—
487#117—21no—
488#117—21no—
489#117—21no—
490#117—21no—
491C2×C4⋊C4—21no—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—21no—
494C2×C4⋊C4—21no—
495C2×C42C23×C1111yescharacteristic
496#107—21no—
497#107—21no—
498#107—21no—
499#106—21no—
500#106—21no—
501#106—21no—
502C4⋊C8—21no—
503C4⋊C8—21no—
504C4⋊C8C23×C1111yescharacteristic
505C4⋊C8C23×C1111yescharacteristic
506C4⋊C8C23×C1111yescharacteristic
507C4⋊C8C23×C1111yescharacteristic
508#103—22no—
509#103—22no—
510#103—21no—
511#103—21no—
512#103—21no—
513#103—21no—
514#103—21no—
515#102—21no—
516#102—21no—
517#102—21no—
518C22⋊C8—21no—
519C22⋊C8—21no—
520C4×C8—21no—
521C4×C8C23×C1111yescharacteristic
522C4×C8C23×C1111yescharacteristic
523C2×C11—41no—
524C2×C11—81no—
525C2×C11—81no—
526C2×C11#301111yescharacteristic
527C2×C11#301311yescharacteristic
528C2×C11#301911yescharacteristic
529#41—84no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—82no—
535C2×Q8C2×D4×C1111yescharacteristic
536C2×Q8C2×D4×C1111yescharacteristic
537C2×Q8C2×D4×C1112yes—
538C2×Q8C2×D4×C1112yes—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4C2×D4×C1111yescharacteristic
543C2×D4C2×D4×C1111yescharacteristic
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4C2×D4×C1111yescharacteristic
550C22×C4C2×D4×C1111yescharacteristic
551C22×C4C2×D4×C1111yescharacteristic
552Q16—81no—
553Q16—82no—
554Q16—82no—
555SD16—81no—
556M16—81no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—41no—
588C4⋊C4—41no—
589C4⋊C4C2×D4×C1111yescharacteristic
590C4⋊C4C2×D4×C1111yescharacteristic
591C4⋊C4C2×D4×C1111yescharacteristic
592C4⋊C4C2×D4×C1111yescharacteristic
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—41no—
608C42—22no—
609C42—22no—
610C42—21no—
611C42—21no—
612C42—41no—
613C42C2×D4×C1111yescharacteristic
614C42C2×D4×C1111yescharacteristic
615C42C2×D4×C1111yescharacteristic
616C42C24×C1111yescharacteristic
617C11#1893311yescharacteristic, direct product factor, Sylow
618C23—21no—
619C23—21no—
620C23C11×#12011yescharacteristic
621Q8—21no—
622Q8—21no—
623Q8—21no—
624Q8—21no—
625Q8—42no—
626Q8—42no—
627Q8—42no—
628Q8—41no—
629Q8—41no—
630Q8—82no—
631Q8—82no—
632D4—21no—
633D4—21no—
634D4—21no—
635D4—21no—
636D4—42no—
637D4—42no—
638D4—82no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—41no—
652C2×C4—44no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—82no—
660C2×C4—82no—
661C2×C4C11×#12011yescharacteristic
662C2×C4C11×#12011yescharacteristic
663C2×C4C11×#12011yescharacteristic
664C2×C4C22×D4×C1111yescharacteristic
665C2×C4C22×D4×C1111yescharacteristic
666C2×C4C22×D4×C1111yescharacteristic
667C8—41no—
668C8—41no—
669C8—41no—
670C8—41no—
671C8—41no—
672C8—41no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22C2×C11×#12011yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—21no—
687C4—41no—
688C4—41no—
689C4—41no—
690C4—41no—
691C4—42no—
692C4—42no—
693C4—41no—
694C4—41no—
695C4—81no—
696C4—81no—
697C4C11×#57711yescharacteristic
698C4C11×#57811yescharacteristic
699C4C11×#57811yescharacteristic
700C4C11×#57811yescharacteristic
701C2—41no—
702C2—81no—
703C2—81no—
704C2C11×#301111yescharacteristic
705C2C11×#301311yescharacteristic
706C2C11×#301911yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3544C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#3252C2semidirect
3. C11×#3233C2semidirect
4. C11×#3209C2semidirect
5. C11×#1646C2semidirect
6. C11×#1645C2semidirect
7. C11×#1644C2semidirect
8. C11×#1643C2semidirect
9. C11×#1634C2semidirect
10. C11×#1633C2semidirect
11. C11×#1632C2semidirect
12. C11×#1632C2semidirect
13. C11×#1548C2semidirect
14. C11×#1495C2semidirect
15. C11×#1482C2semidirect
176. #18933C11direct (N × H)
266. #3252C2×C11semidirect
267. #3233C2×C11semidirect
268. #3209C2×C11semidirect
269. #1646C2×C11semidirect
270. #1645C2×C11semidirect
271. #1644C2×C11semidirect
272. #1643C2×C11semidirect
273. #1634C2×C11semidirect
274. #1633C2×C11semidirect
275. #1632C2×C11semidirect
276. #1632C2×C11semidirect
277. #1548C2×C11semidirect
278. #1495C2×C11semidirect
279. #1482C2×C11semidirect
617. C11#18933direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35442
C11×#32522
C11×#32332
C11×#32092
C11×#16462
C11×#16452
C11×#16442
C11×#16432
C11×#16342
C11×#16332
C11×#16322
C11×#15482
C11×#14952
C11×#14822
#1893311