Finite Group Databasebeta

← C11×#60169 #14637362

Subgroups — C11×#60169 #14637362

Order 2816.

2666 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×#137C211yesmaximal, characteristic
2C11×#3428C211yesmaximal, characteristic
3C2×C11×#519C211yesmaximal, characteristic, complemented
4C11×#2950C214yesmaximal, complemented
5C11×#2949C214yesmaximal, complemented
6C11×#2947C218yesmaximal, complemented
7C4×C11×#137C218yesmaximal, complemented
8C11×#2911C211yesmaximal, characteristic, complemented
9C11×#2896C211yesmaximal, characteristic
10C2×C11×#419C211yesmaximal, characteristic, complemented
11C11×#2873C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C23×Q8×C11C2211yescharacteristic
14C2×C11×#137C4116yescomplemented
15C2×C11×#137C2214yes—
16C2×C11×#137C2214yes—
17C22×C11×Q16C2212yes—
18C22×C11×SD16C2212yes—
19C22×C11×M16C2211yescharacteristic
20C22×C11×M16C2211yescharacteristic
21C11×#520—22no—
22C11×#520C2214yes—
23C11×#519—22no—
24C11×#519—22no—
25C11×#519C2214yes—
26C11×#519C2212yes—
27C11×#519C2214yescomplemented
28C11×#518—22no—
29C11×#518C2212yes—
30C4×C11×#41—22no—
31C4×C11×#41C2214yes—
32C2×C4×Q8×C11—22no—
33C2×C4×Q8×C11C2214yescomplemented
34C2×C11×#117—22no—
35C2×C11×#117—22no—
36C2×C11×#117C2211yescharacteristic
37C2×C11×#117C2211yescharacteristic
38C2×C11×#117C2211yescharacteristic
39C11×#441C22116yescomplemented
40C11×#440C22116yescomplemented
41C4×C11×Q16C22116yescomplemented
42C4×C11×SD16C22116yescomplemented
43C11×#428C2214yescomplemented
44C11×#428C2214yescomplemented
45C11×#427C2214yes—
46C11×#419C2214yes—
47C11×#419C2212yes—
48C11×#419C2214yescomplemented
49C11×#418C2212yes—
50C11×#417C2214yes—
51C11×#416C2214yes—
52C2×C11×#103C2214yescomplemented
53C11×#405C2214yes—
54C11×#405C2214yescomplemented
55C4×C11×M16C2214yescomplemented
56C2×C11×#41—21no—
57C2×C11×#41—21no—
58C2×C11×#41—24no—
59C2×C11×#41C2×C418yes—
60C2×C11×#41C2312yes—
61C2×C11×#41C2312yes—
62C22×Q8×C11—21no—
63C22×Q8×C11—21no—
64C22×Q8×C11—21no—
65C22×Q8×C11—24no—
66C22×Q8×C11C2×C418yescomplemented
67C22×Q8×C11C2312yes—
68C22×Q8×C11C2312yes—
69C22×Q8×C11C2311yescharacteristic
70C22×Q8×C11C2312yes—
71C22×D4×C11—21no—
72C22×D4×C11C2311yescharacteristic
73C23×C4×C11—21no—
74C23×C4×C11—21no—
75C23×C4×C11C2311yescharacteristic
76C11×#137C2×C4132yescomplemented
77C11×#137C2×C4132yescomplemented
78C2×C11×Q16C2×C4116yescomplemented
79C2×C11×Q16C2318yes—
80C2×C11×SD16C2×C4116yescomplemented
81C2×C11×SD16C2318yes—
82C2×C11×M16—24no—
83C2×C11×M16C2×C418yescomplemented
84C2×C11×M16C2312yes—
85C2×C11×M16C2312yes—
86C2×C11×M16C2312yes—
87C2×C11×M16C2312yes—
88C22×C8×C11C2312yes—
89C22×C8×C11C2312yes—
90C4×Q8×C11—28no—
91C4×Q8×C11—28no—
92C4×Q8×C11—24no—
93C4×Q8×C11—28no—
94C4×Q8×C11C23116yes—
95C4×Q8×C11C2318yes—
96C4×D4×C11—28no—
97C4×D4×C11—24no—
98C4×D4×C11—28no—
99C4×D4×C11C2318yes—
100C11×#117—21no—
101C11×#117—21no—
102C11×#117—21no—
103C11×#117—21no—
104C11×#117—24no—
105C11×#117—24no—
106C11×#117—28no—
107C11×#117—28no—
108C11×#117—24no—
109C11×#117D412yes—
110C11×#117D412yes—
111C11×#117C2312yes—
112C11×#117C2312yes—
113C11×#117C2312yes—
114C11×#117C2312yes—
115C11×#117C2312yes—
116C11×#117C2312yes—
117C2×C11×C4⋊C4—24no—
118C2×C11×C4⋊C4—24no—
119C2×C11×C4⋊C4D412yes—
120C2×C11×C4⋊C4C2312yes—
121C2×C11×C4⋊C4C2312yes—
122C2×C11×C22⋊C4—21no—
123C2×C11×C22⋊C4—21no—
124C2×C11×C22⋊C4—24no—
125C2×C11×C22⋊C4D412yes—
126C2×C42×C11—24no—
127C2×C42×C11—21no—
128C2×C42×C11—21no—
129C2×C42×C11—24no—
130C2×C42×C11C2312yes—
131C11×#107C2318yes—
132C11×#106C2318yes—
133C11×#103C23116yes—
134C11×#103C2318yes—
135C11×#102C2318yes—
136C11×#97C2318yes—
137C4×C8×C11C2318yes—
138#60169C1111yesmaximal, characteristic, direct product factor, Sylow
139C24×C11—21no—
140C24×C11C2×D411yescharacteristic
141C11×#41—28no—
142C11×#41—28no—
143C11×#41—24no—
144C11×#41—24no—
145C11×#41C22×C418yes—
146C11×#41C22×C418yes—
147C2×Q8×C11—28no—
148C2×Q8×C11—28no—
149C2×Q8×C11—28no—
150C2×Q8×C11—22no—
151C2×Q8×C11—22no—
152C2×Q8×C11—22no—
153C2×Q8×C11—21no—
154C2×Q8×C11—24no—
155C2×Q8×C11—24no—
156C2×Q8×C11—24no—
157C2×Q8×C11—22no—
158C2×Q8×C11C22×C418yes—
159C2×Q8×C11C22×C414yes—
160C2×Q8×C11C22×C418yes—
161C2×Q8×C11C22×C418yes—
162C2×Q8×C11C2414yes—
163C2×Q8×C11C2412yes—
164C2×D4×C11—28no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—21no—
168C2×D4×C11—22no—
169C2×D4×C11C22×C414yes—
170C2×D4×C11C2412yes—
171C22×C4×C11—28no—
172C22×C4×C11—22no—
173C22×C4×C11—21no—
174C22×C4×C11—22no—
175C22×C4×C11—22no—
176C22×C4×C11—28no—
177C22×C4×C11—22no—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—28no—
182C22×C4×C11C22×C414yes—
183C22×C4×C11C2×D414yes—
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11#4114yes—
188C22×C4×C11C2411yescharacteristic
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C11×Q16C22×C4132yes—
192C11×SD16C22×C4132yes—
193C11×M16—24no—
194C11×M16—24no—
195C11×M16C22×C418yes—
196C11×M16C22×C418yes—
197C2×C8×C11—24no—
198C2×C8×C11C22×C418yes—
199C2×C8×C11C2414yes—
200C2×C8×C11C2414yes—
201C11×C4⋊C4—22no—
202C11×C4⋊C4—28no—
203C11×C4⋊C4—216no—
204C11×C4⋊C4—22no—
205C11×C4⋊C4C2×D414yes—
206C11×C4⋊C4C2×D414yes—
207C11×C4⋊C4C2414yes—
208C11×C4⋊C4C2414yes—
209C11×C22⋊C4—22no—
210C11×C22⋊C4—22no—
211C11×C22⋊C4—22no—
212C11×C22⋊C4—22no—
213C11×C22⋊C4—28no—
214C11×C22⋊C4C2×D414yes—
215C11×C22⋊C4C2×D414yes—
216C42×C11—22no—
217C42×C11—28no—
218C42×C11—216no—
219C42×C11—22no—
220C42×C11—22no—
221C42×C11—22no—
222C42×C11C2×D414yes—
223C42×C11C2414yes—
224C22×#137C2×C1111yescharacteristic
225#3428C2×C1111yescharacteristic
226C2×#519C2×C1111yescharacteristic, complemented
227#2950C2×C1114yescomplemented
228#2949C2×C1114yescomplemented
229#2947C2×C1118yescomplemented
230C4×#137C2×C1118yescomplemented
231#2911C2×C1111yescharacteristic, complemented
232#2896C2×C1111yescharacteristic
233C2×#419C2×C1111yescharacteristic, complemented
234#2873C2×C1111yescharacteristic, complemented
235C23×C11—22no—
236C23×C11—24no—
237C23×C11—42no—
238C23×C11—82no—
239C23×C11C4×D414yes—
240C23×C11C22×D411yescharacteristic
241C23×C11C22×D411yescharacteristic
242C23×C11C22×D411yescharacteristic
243Q8×C11—28no—
244Q8×C11—28no—
245Q8×C11—28no—
246Q8×C11—24no—
247Q8×C11—24no—
248Q8×C11—22no—
249Q8×C11C23×C418yes—
250Q8×C11C23×C414yes—
251D4×C11—28no—
252D4×C11—28no—
253D4×C11—24no—
254D4×C11—22no—
255D4×C11C23×C414yes—
256C2×C4×C11—24no—
257C2×C4×C11—28no—
258C2×C4×C11—28no—
259C2×C4×C11—28no—
260C2×C4×C11—22no—
261C2×C4×C11—24no—
262C2×C4×C11—28no—
263C2×C4×C11—28no—
264C2×C4×C11—24no—
265C2×C4×C11—24no—
266C2×C4×C11—44no—
267C2×C4×C11—44no—
268C2×C4×C11—88no—
269C2×C4×C11—82no—
270C2×C4×C11C4×D414yes—
271C2×C4×C11C4×D414yes—
272C2×C4×C11C4×D414yes—
273C2×C4×C11C23×C412yes—
274C2×C4×C11C23×C412yes—
275C2×C4×C11C23×C412yes—
276C2×C4×C11C22×D418yes—
277C2×C4×C11C22×D411yescharacteristic
278C2×C4×C11C22×D411yescharacteristic
279C2×C4×C11C22×D411yescharacteristic
280C2×C4×C11C2×#4112yes—
281C2×C4×C11C2×#4112yes—
282C2×C4×C11C2×#4112yes—
283C2×C4×C11C2511yescharacteristic
284C8×C11—24no—
285C8×C11C23×C418yes—
286C22×#41C22×C1111yescharacteristic
287C23×Q8C22×C1111yescharacteristic
288C2×#137C4×C11116yescomplemented
289C2×#137C22×C1114yes—
290C2×#137C22×C1114yes—
291C22×Q16C22×C1112yes—
292C22×SD16C22×C1112yes—
293C22×M16C22×C1111yescharacteristic
294C22×M16C22×C1111yescharacteristic
295#520—22no—
296#520C22×C1114yes—
297#519—22no—
298#519—22no—
299#519C22×C1114yes—
300#519C22×C1112yes—
301#519C22×C1114yescomplemented
302#518—22no—
303#518C22×C1112yes—
304C4×#41—22no—
305C4×#41C22×C1114yes—
306C2×C4×Q8—22no—
307C2×C4×Q8C22×C1114yescomplemented
308C2×#117—22no—
309C2×#117—22no—
310C2×#117C22×C1111yescharacteristic
311C2×#117C22×C1111yescharacteristic
312C2×#117C22×C1111yescharacteristic
313#441C22×C11116yescomplemented
314#440C22×C11116yescomplemented
315C4×Q16C22×C11116yescomplemented
316C4×SD16C22×C11116yescomplemented
317#428C22×C1114yescomplemented
318#428C22×C1114yescomplemented
319#427C22×C1114yes—
320#419C22×C1114yes—
321#419C22×C1112yes—
322#419C22×C1114yescomplemented
323#418C22×C1112yes—
324#417C22×C1114yes—
325#416C22×C1114yes—
326C2×#103C22×C1114yescomplemented
327#405C22×C1114yes—
328#405C22×C1114yescomplemented
329C4×M16C22×C1114yescomplemented
330C22×C11—22no—
331C22×C11—22no—
332C22×C11—22no—
333C22×C11—24no—
334C22×C11—44no—
335C22×C11—44no—
336C22×C11—84no—
337C22×C11C2×C4×D412yes—
338C22×C11C2×C4×D412yes—
339C22×C11C2×C4×D412yes—
340C22×C11C23×D411yescharacteristic
341C4×C11—28no—
342C4×C11—24no—
343C4×C11—28no—
344C4×C11—44no—
345C4×C11—44no—
346C4×C11C2×C4×D412yes—
347C4×C11C2×C4×D412yes—
348C4×C11C2×C4×D412yes—
349C4×C11C24×C411yescharacteristic
350C4×C11C22×#4111yescharacteristic
351C2×#41—21no—
352C2×#41—21no—
353C2×#41—24no—
354C2×#41C2×C4×C1118yes—
355C2×#41C23×C1112yes—
356C2×#41C23×C1112yes—
357C22×Q8—21no—
358C22×Q8—21no—
359C22×Q8—21no—
360C22×Q8—24no—
361C22×Q8C2×C4×C1118yescomplemented
362C22×Q8C23×C1112yes—
363C22×Q8C23×C1112yes—
364C22×Q8C23×C1111yescharacteristic
365C22×Q8C23×C1112yes—
366C22×D4—21no—
367C22×D4C23×C1111yescharacteristic
368C23×C4—21no—
369C23×C4—21no—
370C23×C4C23×C1111yescharacteristic
371#137C2×C4×C11132yescomplemented
372#137C2×C4×C11132yescomplemented
373C2×Q16C2×C4×C11116yescomplemented
374C2×Q16C23×C1118yes—
375C2×SD16C2×C4×C11116yescomplemented
376C2×SD16C23×C1118yes—
377C2×M16—24no—
378C2×M16C2×C4×C1118yescomplemented
379C2×M16C23×C1112yes—
380C2×M16C23×C1112yes—
381C2×M16C23×C1112yes—
382C2×M16C23×C1112yes—
383C22×C8C23×C1112yes—
384C22×C8C23×C1112yes—
385C4×Q8—28no—
386C4×Q8—28no—
387C4×Q8—24no—
388C4×Q8—28no—
389C4×Q8C23×C11116yes—
390C4×Q8C23×C1118yes—
391C4×D4—28no—
392C4×D4—24no—
393C4×D4—28no—
394C4×D4C23×C1118yes—
395#117—21no—
396#117—21no—
397#117—21no—
398#117—21no—
399#117—24no—
400#117—24no—
401#117—28no—
402#117—28no—
403#117—24no—
404#117D4×C1112yes—
405#117D4×C1112yes—
406#117C23×C1112yes—
407#117C23×C1112yes—
408#117C23×C1112yes—
409#117C23×C1112yes—
410#117C23×C1112yes—
411#117C23×C1112yes—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4D4×C1112yes—
415C2×C4⋊C4C23×C1112yes—
416C2×C4⋊C4C23×C1112yes—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—24no—
420C2×C22⋊C4D4×C1112yes—
421C2×C42—24no—
422C2×C42—21no—
423C2×C42—21no—
424C2×C42—24no—
425C2×C42C23×C1112yes—
426#107C23×C1118yes—
427#106C23×C1118yes—
428#103C23×C11116yes—
429#103C23×C1118yes—
430#102C23×C1118yes—
431#97C23×C1118yes—
432C4×C8C23×C1118yes—
433C2×C11—22no—
434C2×C11—22no—
435C2×C11—22no—
436C2×C11—44no—
437C2×C11C22×C4×D411yescharacteristic
438C2×C11#358612yes—
439C24—21no—
440C24C2×D4×C1111yescharacteristic
441#41—28no—
442#41—28no—
443#41—24no—
444#41—24no—
445#41C22×C4×C1118yes—
446#41C22×C4×C1118yes—
447C2×Q8—28no—
448C2×Q8—28no—
449C2×Q8—28no—
450C2×Q8—22no—
451C2×Q8—22no—
452C2×Q8—22no—
453C2×Q8—21no—
454C2×Q8—24no—
455C2×Q8—24no—
456C2×Q8—24no—
457C2×Q8—22no—
458C2×Q8C22×C4×C1118yes—
459C2×Q8C22×C4×C1114yes—
460C2×Q8C22×C4×C1118yes—
461C2×Q8C22×C4×C1118yes—
462C2×Q8C24×C1114yes—
463C2×Q8C24×C1112yes—
464C2×D4—28no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—21no—
468C2×D4—22no—
469C2×D4C22×C4×C1114yes—
470C2×D4C24×C1112yes—
471C22×C4—28no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—28no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—28no—
482C22×C4C22×C4×C1114yes—
483C22×C4C2×D4×C1114yes—
484C22×C4C2×D4×C1111yescharacteristic
485C22×C4C2×D4×C1111yescharacteristic
486C22×C4C2×D4×C1111yescharacteristic
487C22×C4C11×#4114yes—
488C22×C4C24×C1111yescharacteristic
489C22×C4C24×C1111yescharacteristic
490C22×C4C24×C1111yescharacteristic
491Q16C22×C4×C11132yes—
492SD16C22×C4×C11132yes—
493M16—24no—
494M16—24no—
495M16C22×C4×C1118yes—
496M16C22×C4×C1118yes—
497C2×C8—24no—
498C2×C8C22×C4×C1118yes—
499C2×C8C24×C1114yes—
500C2×C8C24×C1114yes—
501C4⋊C4—22no—
502C4⋊C4—28no—
503C4⋊C4—216no—
504C4⋊C4—22no—
505C4⋊C4C2×D4×C1114yes—
506C4⋊C4C2×D4×C1114yes—
507C4⋊C4C24×C1114yes—
508C4⋊C4C24×C1114yes—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—28no—
514C22⋊C4C2×D4×C1114yes—
515C22⋊C4C2×D4×C1114yes—
516C42—22no—
517C42—28no—
518C42—216no—
519C42—22no—
520C42—22no—
521C42—22no—
522C42C2×D4×C1114yes—
523C42C24×C1114yes—
524C11#6016911yescharacteristic, direct product factor, Sylow
525C23—22no—
526C23—24no—
527C23—42no—
528C23—82no—
529C23C4×D4×C1114yes—
530C23C22×D4×C1111yescharacteristic
531C23C22×D4×C1111yescharacteristic
532C23C22×D4×C1111yescharacteristic
533Q8—28no—
534Q8—28no—
535Q8—28no—
536Q8—24no—
537Q8—24no—
538Q8—22no—
539Q8C23×C4×C1118yes—
540Q8C23×C4×C1114yes—
541D4—28no—
542D4—28no—
543D4—24no—
544D4—22no—
545D4C23×C4×C1114yes—
546C2×C4—24no—
547C2×C4—28no—
548C2×C4—28no—
549C2×C4—28no—
550C2×C4—22no—
551C2×C4—24no—
552C2×C4—28no—
553C2×C4—28no—
554C2×C4—24no—
555C2×C4—24no—
556C2×C4—44no—
557C2×C4—44no—
558C2×C4—88no—
559C2×C4—82no—
560C2×C4C4×D4×C1114yes—
561C2×C4C4×D4×C1114yes—
562C2×C4C4×D4×C1114yes—
563C2×C4C23×C4×C1112yes—
564C2×C4C23×C4×C1112yes—
565C2×C4C23×C4×C1112yes—
566C2×C4C22×D4×C1118yes—
567C2×C4C22×D4×C1111yescharacteristic
568C2×C4C22×D4×C1111yescharacteristic
569C2×C4C22×D4×C1111yescharacteristic
570C2×C4C2×C11×#4112yes—
571C2×C4C2×C11×#4112yes—
572C2×C4C2×C11×#4112yes—
573C2×C4C25×C1111yescharacteristic
574C8—24no—
575C8C23×C4×C1118yes—
576C22—22no—
577C22—22no—
578C22—22no—
579C22—24no—
580C22—44no—
581C22—44no—
582C22—84no—
583C22C2×C4×D4×C1112yes—
584C22C2×C4×D4×C1112yes—
585C22C2×C4×D4×C1112yes—
586C22C23×D4×C1111yescharacteristic
587C4—24no—
588C4—28no—
589C4—28no—
590C4—44no—
591C4—44no—
592C4C2×C4×D4×C1112yes—
593C4C2×C4×D4×C1112yes—
594C4C2×C4×D4×C1112yes—
595C4C24×C4×C1111yescharacteristic
596C4C22×C11×#4111yescharacteristic
597C2—22no—
598C2—22no—
599C2—22no—
600C2—44no—
601C2C22×C4×D4×C1111yescharacteristic
602C2C11×#358612yes—
subgroupG/H
center, socleC22×C11C23×D4
commutatorC4C24×C4×C11
Frattini, cosocleC2×C4C25×C11
prime radicalC22×C11×#41C22
LCSG ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C11×#117 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C11×#519C2semidirect
4. C11×#2950C2semidirect
5. C11×#2949C2semidirect
6. C11×#2947C2semidirect
7. C4×C11×#137C2semidirect
8. C11×#2911C2semidirect
10. C2×C11×#419C2semidirect
11. C11×#2873C2semidirect
14. C2×C11×#137C4semidirect
27. C11×#519C22semidirect
33. C2×C4×Q8×C11C22semidirect
39. C11×#441C22semidirect
40. C11×#440C22semidirect
41. C4×C11×Q16C22semidirect
42. C4×C11×SD16C22semidirect
43. C11×#428C22semidirect
44. C11×#428C22semidirect
48. C11×#419C22semidirect
52. C2×C11×#103C22semidirect
54. C11×#405C22semidirect
55. C4×C11×M16C22semidirect
66. C22×Q8×C11C2×C4semidirect
76. C11×#137C2×C4semidirect
77. C11×#137C2×C4semidirect
78. C2×C11×Q16C2×C4semidirect
80. C2×C11×SD16C2×C4semidirect
83. C2×C11×M16C2×C4semidirect
138. #60169C11direct (N × H)
226. C2×#519C2×C11semidirect
227. #2950C2×C11semidirect
228. #2949C2×C11semidirect
229. #2947C2×C11semidirect
230. C4×#137C2×C11semidirect
231. #2911C2×C11semidirect
233. C2×#419C2×C11semidirect
234. #2873C2×C11semidirect
288. C2×#137C4×C11semidirect
301. #519C22×C11semidirect
307. C2×C4×Q8C22×C11semidirect
313. #441C22×C11semidirect
314. #440C22×C11semidirect
315. C4×Q16C22×C11semidirect
316. C4×SD16C22×C11semidirect
317. #428C22×C11semidirect
318. #428C22×C11semidirect
322. #419C22×C11semidirect
326. C2×#103C22×C11semidirect
328. #405C22×C11semidirect
329. C4×M16C22×C11semidirect
361. C22×Q8C2×C4×C11semidirect
371. #137C2×C4×C11semidirect
372. #137C2×C4×C11semidirect
373. C2×Q16C2×C4×C11semidirect
375. C2×SD16C2×C4×C11semidirect
378. C2×M16C2×C4×C11semidirect
524. C11#60169direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×#1372
C11×#34282
C2×C11×#5192
C11×#29502
C11×#29492
C11×#29472
C4×C11×#1372
C11×#29112
C11×#28962
C2×C11×#4192
C11×#28732
#6016911