Finite Group Databasebeta

← C11×#18451 #14595644

Subgroups — C11×#18451 #14595644

Order 2816.

1038 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3537C211yesmaximal, characteristic
2C11×#3196C211yesmaximal, characteristic, complemented
3C11×#3187C211yesmaximal, characteristic, complemented
4C11×#2816C211yesmaximal, characteristic, complemented
5C11×#1618C212yesmaximal, complemented
6C11×#1613C212yesmaximal, complemented
7C11×#1606C212yesmaximal, complemented
8C11×#1601C212yesmaximal, complemented
9C11×#1516C211yesmaximal, characteristic, complemented
10C11×#1510C211yesmaximal, characteristic, complemented
11C11×#1471C211yesmaximal, characteristic, complemented
12C11×#560—22no—
13C11×#553—21no—
14C11×#553—21no—
15D42×C11—22no—
16D42×C11—21no—
17D42×C11—21no—
18C11×#540—21no—
19C11×#538—21no—
20C11×#538C2212yes—
21C11×#535—21no—
22C11×#534—21no—
23C11×#534C2212yes—
24C11×#525C2211yescharacteristic
25C2×C11×C22⋊Q8C2211yescharacteristic, complemented
26C2×C11×#121C2211yescharacteristic
27C2×C11×#121C2211yescharacteristic
28C11×#485—21no—
29C11×#484C2211yescharacteristic, complemented
30C11×#483—21no—
31C11×#481C2211yescharacteristic, complemented
32C11×#481C2212yescomplemented
33C11×#470—21no—
34C11×#468—21no—
35C11×#465—22no—
36C11×#452—21no—
37C11×#451C2211yescharacteristic, complemented
38C11×#450—21no—
39C11×#448C2212yescomplemented
40C11×#448C2211yescharacteristic, complemented
41C11×#407C2211yescharacteristic, complemented
42C2×C11×C22⋊C8C2211yescharacteristic, complemented
43C11×#399C2212yescomplemented
44C11×#398—21no—
45C11×#394—21no—
46C11×#394—22no—
47C11×#393C2212yescomplemented
48C11×#381C2211yescharacteristic, complemented
49C11×#328C2212yescomplemented
50C11×#327C2212yescomplemented
51C11×#327C2212yescomplemented
52C11×#327C2212yescomplemented
53C11×#323C2212yescomplemented
54C11×#323C2212yescomplemented
55C2×C11×#41D411yescharacteristic
56C22×Q8×C11C2311yescharacteristic
57C22×D4×C11—22no—
58C22×D4×C11—21no—
59C22×D4×C11—21no—
60C22×D4×C11—22no—
61C22×D4×C11D412yes—
62C22×D4×C11D411yescharacteristic
63C22×D4×C11D411yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C2×C11×Q16—21no—
66C2×C11×SD16—22no—
67C2×C11×SD16—21no—
68C2×C11×M16—21no—
69C22×C8×C11—21no—
70C11×#127—22no—
71C11×#127—21no—
72C11×#126—22no—
73C11×#126—22no—
74C11×#125—21no—
75C11×#124—22no—
76C11×#123—22no—
77C11×#123—21no—
78C11×#123—22no—
79C11×#123—22no—
80C11×#123—22no—
81C11×C22⋊Q8—21no—
82C11×C22⋊Q8—21no—
83C11×C22⋊Q8—21no—
84C11×C22⋊Q8—21no—
85C11×C22⋊Q8D411yescharacteristic
86C11×C22⋊Q8C2311yescharacteristic
87C11×#121—22no—
88C11×#121—21no—
89C11×#121—21no—
90C11×#121—22no—
91C11×#121—22no—
92C11×#121—22no—
93C11×#121—22no—
94C11×#121—21no—
95C11×#121—21no—
96C11×#121—21no—
97C11×#121—21no—
98C11×#121—21no—
99C11×#121—21no—
100C11×#121—22no—
101C11×#121D412yes—
102C11×#121D411yescharacteristic
103C11×#121C2312yes—
104C11×#121C2311yescharacteristic
105C11×#120—22no—
106C11×#120—22no—
107C11×#120—22no—
108C11×#120—21no—
109C11×#120—22no—
110C11×#120—22no—
111C11×#120—22no—
112C4×D4×C11—22no—
113C4×D4×C11—21no—
114C4×D4×C11—21no—
115C4×D4×C11—21no—
116C4×D4×C11—21no—
117C4×D4×C11—22no—
118C11×#117—21no—
119C11×#117D411yescharacteristic
120C2×C11×C4⋊C4—21no—
121C2×C11×C4⋊C4—22no—
122C2×C11×C4⋊C4D411yescharacteristic
123C2×C11×C4⋊C4D411yescharacteristic
124C2×C11×C4⋊C4C2311yescharacteristic
125C2×C11×C22⋊C4—21no—
126C2×C11×C22⋊C4—21no—
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4C2312yes—
131C11×#107—21no—
132C11×#106—22no—
133C11×#106—21no—
134C11×#103—21no—
135C11×#103—22no—
136C11×#103—21no—
137C11×#103—21no—
138C11×#102—22no—
139C11×#102—21no—
140C11×C22⋊C8—21no—
141C11×C22⋊C8—21no—
142C11×C22⋊C8C2311yescharacteristic
143C11×C22⋊C8C2311yescharacteristic
144C11×C22⋊C8C2312yes—
145C11×#95—21no—
146C11×#95—22no—
147C11×#95C2312yes—
148#18451C1111yesmaximal, characteristic, direct product factor, Sylow
149C24×C11—22no—
150C24×C11—21no—
151C24×C11C2×D412yes—
152C24×C11C2×D411yescharacteristic
153C11×#41—81no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—81no—
157C2×Q8×C11C2×D411yescharacteristic
158C2×D4×C11—22no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—21no—
168C2×D4×C11—22no—
169C2×D4×C11—22no—
170C2×D4×C11—21no—
171C2×D4×C11—21no—
172C2×D4×C11—21no—
173C2×D4×C11—81no—
174C2×D4×C11—82no—
175C2×D4×C11—81no—
176C2×D4×C11—82no—
177C2×D4×C11—82no—
178C2×D4×C11—84no—
179C2×D4×C11—84no—
180C2×D4×C11C2×D411yescharacteristic
181C2×D4×C11C2×D412yes—
182C22×C4×C11—22no—
183C22×C4×C11—22no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—22no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—81no—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2411yescharacteristic
197C11×Q16—81no—
198C11×SD16—82no—
199C11×SD16—81no—
200C11×M16—81no—
201C2×C8×C11—22no—
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11—81no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—41no—
215C11×C4⋊C4—41no—
216C11×C4⋊C4—82no—
217C11×C4⋊C4C2×D412yes—
218C11×C4⋊C4C2×D411yescharacteristic
219C11×C4⋊C4C2×D411yescharacteristic
220C11×C22⋊C4—22no—
221C11×C22⋊C4—22no—
222C11×C22⋊C4—22no—
223C11×C22⋊C4—22no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—21no—
226C11×C22⋊C4—21no—
227C11×C22⋊C4—21no—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—21no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—21no—
234C11×C22⋊C4—41no—
235C11×C22⋊C4—41no—
236C11×C22⋊C4—81no—
237C11×C22⋊C4—82no—
238C11×C22⋊C4—82no—
239C42×C11—22no—
240C42×C11—21no—
241#3537C2×C1111yescharacteristic
242#3196C2×C1111yescharacteristic, complemented
243#3187C2×C1111yescharacteristic, complemented
244#2816C2×C1111yescharacteristic, complemented
245#1618C2×C1112yescomplemented
246#1613C2×C1112yescomplemented
247#1606C2×C1112yescomplemented
248#1601C2×C1112yescomplemented
249#1516C2×C1111yescharacteristic, complemented
250#1510C2×C1111yescharacteristic, complemented
251#1471C2×C1111yescharacteristic, complemented
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—21no—
256C23×C11—24no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—42no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—81no—
263C23×C11—81no—
264C23×C11—82no—
265C23×C11—82no—
266C23×C11—82no—
267C23×C11#12011yescharacteristic
268C23×C11#12011yescharacteristic
269C23×C11C22×D411yescharacteristic
270Q8×C11—41no—
271Q8×C11—42no—
272Q8×C11—41no—
273Q8×C11—41no—
274D4×C11—42no—
275D4×C11—41no—
276D4×C11—42no—
277D4×C11—42no—
278D4×C11—44no—
279D4×C11—42no—
280D4×C11—44no—
281D4×C11—42no—
282D4×C11—81no—
283D4×C11—82no—
284D4×C11—82no—
285D4×C11—81no—
286D4×C11—82no—
287D4×C11—82no—
288D4×C11—82no—
289D4×C11—82no—
290D4×C11—82no—
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—21no—
295C2×C4×C11—21no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11—41no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—42no—
312C2×C4×C11—81no—
313C2×C4×C11—82no—
314C2×C4×C11—82no—
315C2×C4×C11#12011yescharacteristic
316C2×C4×C11#12011yescharacteristic
317C2×C4×C11C22×D411yescharacteristic
318C2×C4×C11C22×D411yescharacteristic
319C8×C11—42no—
320C8×C11—41no—
321C8×C11—41no—
322#560—22no—
323#553—21no—
324#553—21no—
325D42—22no—
326D42—21no—
327D42—21no—
328#540—21no—
329#538—21no—
330#538C22×C1112yes—
331#535—21no—
332#534—21no—
333#534C22×C1112yes—
334#525C22×C1111yescharacteristic
335C2×C22⋊Q8C22×C1111yescharacteristic, complemented
336C2×#121C22×C1111yescharacteristic
337C2×#121C22×C1111yescharacteristic
338#485—21no—
339#484C22×C1111yescharacteristic, complemented
340#483—21no—
341#481C22×C1111yescharacteristic, complemented
342#481C22×C1112yescomplemented
343#470—21no—
344#468—21no—
345#465—22no—
346#452—21no—
347#451C22×C1111yescharacteristic, complemented
348#450—21no—
349#448C22×C1111yescharacteristic, complemented
350#448C22×C1112yescomplemented
351#407C22×C1111yescharacteristic, complemented
352C2×C22⋊C8C22×C1111yescharacteristic, complemented
353#399C22×C1112yescomplemented
354#398—21no—
355#394—21no—
356#394—22no—
357#393C22×C1112yescomplemented
358#381C22×C1111yescharacteristic, complemented
359#328C22×C1112yescomplemented
360#327C22×C1112yescomplemented
361#327C22×C1112yescomplemented
362#327C22×C1112yescomplemented
363#323C22×C1112yescomplemented
364#323C22×C1112yescomplemented
365C22×C11—21no—
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—21no—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—42no—
374C22×C11—42no—
375C22×C11—41no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—82no—
383C22×C11—84no—
384C22×C11—162no—
385C22×C11—164no—
386C22×C11C2×#12011yescharacteristic
387C22×C11#57712yes—
388C4×C11—21no—
389C4×C11—21no—
390C4×C11—21no—
391C4×C11—21no—
392C4×C11—42no—
393C4×C11—41no—
394C4×C11—42no—
395C4×C11—41no—
396C4×C11—41no—
397C4×C11—82no—
398C4×C11—81no—
399C4×C11—81no—
400C2×#41D4×C1111yescharacteristic
401C22×Q8C23×C1111yescharacteristic
402C22×D4—22no—
403C22×D4—21no—
404C22×D4—21no—
405C22×D4—22no—
406C22×D4D4×C1112yes—
407C22×D4D4×C1111yescharacteristic
408C22×D4D4×C1111yescharacteristic
409C23×C4C23×C1111yescharacteristic
410C2×Q16—21no—
411C2×SD16—22no—
412C2×SD16—21no—
413C2×M16—21no—
414C22×C8—21no—
415#127—22no—
416#127—21no—
417#126—22no—
418#126—22no—
419#125—21no—
420#124—22no—
421#123—22no—
422#123—21no—
423#123—22no—
424#123—22no—
425#123—22no—
426C22⋊Q8—21no—
427C22⋊Q8—21no—
428C22⋊Q8—21no—
429C22⋊Q8—21no—
430C22⋊Q8D4×C1111yescharacteristic
431C22⋊Q8C23×C1111yescharacteristic
432#121—22no—
433#121—21no—
434#121—21no—
435#121—22no—
436#121—22no—
437#121—22no—
438#121—22no—
439#121—21no—
440#121—21no—
441#121—21no—
442#121—21no—
443#121—21no—
444#121—21no—
445#121—22no—
446#121D4×C1112yes—
447#121D4×C1111yescharacteristic
448#121C23×C1112yes—
449#121C23×C1111yescharacteristic
450#120—22no—
451#120—22no—
452#120—22no—
453#120—21no—
454#120—22no—
455#120—22no—
456#120—22no—
457C4×D4—22no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—22no—
463#117—21no—
464#117D4×C1111yescharacteristic
465C2×C4⋊C4—21no—
466C2×C4⋊C4—22no—
467C2×C4⋊C4D4×C1111yescharacteristic
468C2×C4⋊C4D4×C1111yescharacteristic
469C2×C4⋊C4C23×C1111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4—22no—
475C2×C22⋊C4C23×C1112yes—
476#107—21no—
477#106—22no—
478#106—21no—
479#103—21no—
480#103—22no—
481#103—21no—
482#103—21no—
483#102—22no—
484#102—21no—
485C22⋊C8—21no—
486C22⋊C8—21no—
487C22⋊C8C23×C1111yescharacteristic
488C22⋊C8C23×C1111yescharacteristic
489C22⋊C8C23×C1112yes—
490#95—21no—
491#95—22no—
492#95C23×C1112yes—
493C2×C11—22no—
494C2×C11—41no—
495C2×C11—41no—
496C2×C11—82no—
497C2×C11—82no—
498C2×C11—81no—
499C2×C11#300911yescharacteristic
500C2×C11#301911yescharacteristic
501C2×C11#302611yescharacteristic
502C24—22no—
503C24—21no—
504C24C2×D4×C1112yes—
505C24C2×D4×C1111yescharacteristic
506#41—81no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—81no—
510C2×Q8C2×D4×C1111yescharacteristic
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—81no—
527C2×D4—82no—
528C2×D4—81no—
529C2×D4—82no—
530C2×D4—82no—
531C2×D4—84no—
532C2×D4—84no—
533C2×D4C2×D4×C1111yescharacteristic
534C2×D4C2×D4×C1112yes—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—22no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—81no—
543C22×C4C2×D4×C1112yes—
544C22×C4C2×D4×C1111yescharacteristic
545C22×C4C2×D4×C1111yescharacteristic
546C22×C4C2×D4×C1111yescharacteristic
547C22×C4C2×D4×C1111yescharacteristic
548C22×C4C2×D4×C1111yescharacteristic
549C22×C4C24×C1111yescharacteristic
550Q16—81no—
551SD16—82no—
552SD16—81no—
553M16—81no—
554C2×C8—22no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—81no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—82no—
570C4⋊C4C2×D4×C1112yes—
571C4⋊C4C2×D4×C1111yescharacteristic
572C4⋊C4C2×D4×C1111yescharacteristic
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—22no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—21no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—81no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C42—22no—
593C42—21no—
594C11#1845111yescharacteristic, direct product factor, Sylow
595C23—22no—
596C23—22no—
597C23—22no—
598C23—21no—
599C23—24no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—81no—
606C23—81no—
607C23—82no—
608C23—82no—
609C23—82no—
610C23C11×#12011yescharacteristic
611C23C11×#12011yescharacteristic
612C23C22×D4×C1111yescharacteristic
613Q8—41no—
614Q8—42no—
615Q8—41no—
616Q8—41no—
617D4—42no—
618D4—41no—
619D4—42no—
620D4—42no—
621D4—44no—
622D4—42no—
623D4—44no—
624D4—42no—
625D4—81no—
626D4—82no—
627D4—82no—
628D4—81no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—81no—
656C2×C4—82no—
657C2×C4—82no—
658C2×C4C11×#12011yescharacteristic
659C2×C4C11×#12011yescharacteristic
660C2×C4C22×D4×C1111yescharacteristic
661C2×C4C22×D4×C1111yescharacteristic
662C8—42no—
663C8—41no—
664C8—41no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—82no—
683C22—84no—
684C22—162no—
685C22—164no—
686C22C2×C11×#12011yescharacteristic
687C22C11×#57712yes—
688C4—21no—
689C4—21no—
690C4—21no—
691C4—21no—
692C4—42no—
693C4—41no—
694C4—42no—
695C4—41no—
696C4—41no—
697C4—82no—
698C4—81no—
699C4—81no—
700C2—22no—
701C2—41no—
702C2—41no—
703C2—82no—
704C2—82no—
705C2—81no—
706C2C11×#300911yescharacteristic
707C2C11×#301911yescharacteristic
708C2C11×#302611yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3537C2
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
2. C11×#3196C2semidirect
3. C11×#3187C2semidirect
4. C11×#2816C2semidirect
5. C11×#1618C2semidirect
6. C11×#1613C2semidirect
7. C11×#1606C2semidirect
8. C11×#1601C2semidirect
9. C11×#1516C2semidirect
10. C11×#1510C2semidirect
11. C11×#1471C2semidirect
25. C2×C11×C22⋊Q8C22semidirect
29. C11×#484C22semidirect
31. C11×#481C22semidirect
32. C11×#481C22semidirect
37. C11×#451C22semidirect
39. C11×#448C22semidirect
40. C11×#448C22semidirect
41. C11×#407C22semidirect
42. C2×C11×C22⋊C8C22semidirect
43. C11×#399C22semidirect
47. C11×#393C22semidirect
48. C11×#381C22semidirect
49. C11×#328C22semidirect
50. C11×#327C22semidirect
51. C11×#327C22semidirect
52. C11×#327C22semidirect
53. C11×#323C22semidirect
54. C11×#323C22semidirect
148. #18451C11direct (N × H)
242. #3196C2×C11semidirect
243. #3187C2×C11semidirect
244. #2816C2×C11semidirect
245. #1618C2×C11semidirect
246. #1613C2×C11semidirect
247. #1606C2×C11semidirect
248. #1601C2×C11semidirect
249. #1516C2×C11semidirect
250. #1510C2×C11semidirect
251. #1471C2×C11semidirect
335. C2×C22⋊Q8C22×C11semidirect
339. #484C22×C11semidirect
341. #481C22×C11semidirect
342. #481C22×C11semidirect
347. #451C22×C11semidirect
349. #448C22×C11semidirect
350. #448C22×C11semidirect
351. #407C22×C11semidirect
352. C2×C22⋊C8C22×C11semidirect
353. #399C22×C11semidirect
357. #393C22×C11semidirect
358. #381C22×C11semidirect
359. #328C22×C11semidirect
360. #327C22×C11semidirect
361. #327C22×C11semidirect
362. #327C22×C11semidirect
363. #323C22×C11semidirect
364. #323C22×C11semidirect
594. C11#18451direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35372
C11×#31962
C11×#31872
C11×#28162
C11×#16182
C11×#16132
C11×#16062
C11×#16012
C11×#15162
C11×#15102
C11×#14712
#1845111