Finite Group Databasebeta

← C2×D11×#461 #15620551

Subgroups — C2×D11×#461 #15620551

Order 2816.

3222 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×SD16×D11C212yesmaximal
2C2×D11×C4⋊Q8C211yesmaximal, characteristic, complemented
3C2×C4×D4×D11C211yesmaximal, characteristic
4C2×#10622454C211yesmaximal, characteristic, complemented
5C2×#10622632C211yesmaximal, characteristic, complemented
6C2×#10622431C212yesmaximal, complemented
7C2×#10622775C212yesmaximal, complemented
8C2×#10622696C211yesmaximal, characteristic, complemented
9D11×#461C2116yesmaximal, direct product factor
10C2×D11×C4⋊C8C211yesmaximal, characteristic, complemented
11C2×D11×#103C212yesmaximal, complemented
12C2×C11×#461C211yesmaximal, characteristic, complemented
13C22×Q8×D11C2212yes—
14C22×D4×D11C2211yescharacteristic
15C23×C4×D11—21no—
16C22×C11×SD16C2212yes—
17C2×C11×C4⋊Q8C2211yescharacteristic, complemented
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66997C2212yescomplemented
20C22×#4325C2212yes—
21C2×D4×Dic11C2211yescharacteristic
22C22×#4324C2212yes—
23C2×C4×C22⋊D11—21no—
24C2×SD16×D11—216no—
25C2×SD16×D11C22116yes—
26C22×#4314C2212yes—
27C22×C8×D11C2212yes—
28D11×C4⋊Q8—24no—
29D11×C4⋊Q8C2218yescomplemented
30C4×D4×D11—24no—
31C4×D4×D11C2218yes—
32C2×#66946C2211yescharacteristic
33C2×C4⋊C4×D11—21no—
34C2×C4⋊C4×D11—21no—
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×#66941—21no—
37C2×#66941—21no—
38C2×(C22⋊D11)⋊C4—21no—
39C2×C22⋊C4×D11—21no—
40C2×C4×D44C2211yescharacteristic
41C2×C42×D11C2211yescharacteristic
42C2×#66922C2211yescharacteristic, complemented
43C11×#461C2218yescomplemented
44C2×C11×C4⋊C8C2211yescharacteristic, complemented
45C2×C11×#103C2212yescomplemented
46C2×#66899C2212yescomplemented
47#10622775C22116yescomplemented
48C2×#66880C2212yescomplemented
49C2×Dic11⋊C8C2212yescomplemented
50#10622696C2218yescomplemented
51#10622632C2218yescomplemented
52C2×#66874C2212yescomplemented
53C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
54#10622454C2218yescomplemented
55D11×C4⋊C8C2218yescomplemented
56#10622431C22116yescomplemented
57D11×#103C22116yescomplemented
58C24×D11—21no—
59C22×Q8×C11C2312yes—
60C22×D4×C11C2311yescharacteristic
61C23×C4×C11—21no—
62C22×C22⋊D11—21no—
63C23×Dic11—21no—
64C2×Q8×D11—24no—
65C2×Q8×D11—28no—
66C2×Q8×D11—28no—
67C2×Q8×D11C2318yes—
68C2×D4×D11—22no—
69C2×D4×D11—24no—
70C2×D4×D11D418yes—
71C2×D4×D11C2314yes—
72C22×D44C2311yescharacteristic
73C22×C4×D11—21no—
74C22×C4×D11—22no—
75C22×C4×D11—21no—
76C22×C4×D11—21no—
77C22×C4×D11—28no—
78C22×C4×D11—48no—
79C22×C4×D11D411yescharacteristic
80C22×C4×D11D411yescharacteristic
81C22×C4×D11C2311yescharacteristic
82C22×Dic22—22no—
83C22×Dic22C2312yes—
84C2×C11×SD16—28no—
85C2×C11×SD16C2318yes—
86C22×C8×C11C2312yes—
87C11×C4⋊Q8—22no—
88C11×C4⋊Q8C2314yescomplemented
89C4×D4×C11—22no—
90C4×D4×C11C2314yes—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C22⋊C4—21no—
95C2×C42×C11C2311yescharacteristic
96C2×C22⋊Dic11—21no—
97#66997—24no—
98#66997C2318yescomplemented
99C2×#4325—28no—
100C2×#4325C2318yes—
101D4×Dic11—22no—
102D4×Dic11C2314yes—
103C2×#4324—28no—
104C2×#4324C2318yes—
105C4×C22⋊D11—28no—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×C4⋊Dic11—21no—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11C2311yescharacteristic
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—22no—
113C2×Dic11⋊C4—22no—
114C2×C4×Dic11D411yescharacteristic
115C2×C4×Dic11D411yescharacteristic
116C2×C4×Dic11C2311yescharacteristic
117C22×C11⋊C8C2312yes—
118SD16×D11—264no—
119C2×#4314—28no—
120C2×#4314C2318yes—
121C2×C8×D11—28no—
122C2×C8×D11C2318yes—
123#66946—22no—
124#66946C2314yes—
125C4⋊C4×D11—28no—
126C4⋊C4×D11—28no—
127C4⋊C4×D11—22no—
128C4⋊C4×D11C2314yes—
129#66941—28no—
130#66941—28no—
131(C22⋊D11)⋊C4—28no—
132C22⋊C4×D11—28no—
133C4×D44—22no—
134C4×D44C2314yes—
135C42×D11D414yes—
136C42×D11C2314yes—
137#66922—22no—
138#66922C2314yescomplemented
139C11×C4⋊C8C2314yescomplemented
140C11×#103C2318yescomplemented
141#66899C2318yescomplemented
142#66880C2318yescomplemented
143Dic11⋊C8C2318yescomplemented
144#66874C2318yescomplemented
145C4⋊(C11⋊C8)C2314yescomplemented
146C22×#461—111nomaximal, Sylow
147C24×C11—21no—
148C23×D11—21no—
149C23×D11—28no—
150C23×D11—24no—
151C23×D11—44no—
152C23×D11—44no—
153C23×D11C2×D411yescharacteristic
154C2×Q8×C11—22no—
155C2×Q8×C11—24no—
156C2×Q8×C11—24no—
157C2×Q8×C11C2414yes—
158C2×D4×C11—21no—
159C2×D4×C11—22no—
160C2×D4×C11C2×D414yes—
161C2×D4×C11C2412yes—
162C22×C4×C11—22no—
163C22×C4×C11—21no—
164C22×C4×C11—24no—
165C22×C4×C11—44no—
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2411yescharacteristic
169C2×C22⋊D11—28no—
170C2×C22⋊D11—24no—
171C22×Dic11—24no—
172C22×Dic11—22no—
173C22×Dic11—21no—
174C22×Dic11—44no—
175C22×Dic11C2×D411yescharacteristic
176C22×Dic11C2×D411yescharacteristic
177C22×Dic11C2×D411yescharacteristic
178Q8×D11—216no—
179Q8×D11—216no—
180Q8×D11—416no—
181D4×D11—216no—
182D4×D11—28no—
183D4×D11C2×D4116yes—
184C2×D44—21no—
185C2×D44—22no—
186C2×D44C2×D414yes—
187C2×D44C2412yes—
188C2×C4×D11—24no—
189C2×C4×D11—24no—
190C2×C4×D11—24no—
191C2×C4×D11—28no—
192C2×C4×D11—24no—
193C2×C4×D11—44no—
194C2×C4×D11—432no—
195C2×C4×D11—48no—
196C2×C4×D11—44no—
197C2×C4×D11—44no—
198C2×C4×D11SD1618yescomplemented
199C2×C4×D11C2×D414yes—
200C2×C4×D11C2×D414yes—
201C2×C4×D11C2×D412yes—
202C2×C4×D11C2×D414yes—
203C2×C4×D11#4114yes—
204C2×C4×D11C2412yes—
205C2×Dic22—28no—
206C2×Dic22—24no—
207C2×Dic22—22no—
208C2×Dic22—24no—
209C2×Dic22—48no—
210C2×Dic22C2414yes—
211C11×SD16—216no—
212C2×C8×C11—24no—
213C2×C8×C11C2414yes—
214C11×C4⋊C4—24no—
215C11×C4⋊C4—24no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4C2412yes—
218C11×C22⋊C4—24no—
219C42×C11C2×D412yes—
220C42×C11C2412yes—
221C22⋊Dic11—24no—
222#4325—216no—
223#4324—216no—
224(C2×D11)⋊C4—24no—
225(C2×D11)⋊C4—24no—
226C4⋊Dic11—24no—
227C4⋊Dic11—24no—
228C4⋊Dic11—21no—
229C4⋊Dic11C2412yes—
230Dic11⋊C4—24no—
231Dic11⋊C4—28no—
232Dic11⋊C4—28no—
233C4×Dic11C2×D412yes—
234C4×Dic11C2×D414yes—
235C4×Dic11C2×D414yes—
236C4×Dic11C2412yes—
237C2×C11⋊C8—24no—
238C2×C11⋊C8C2414yes—
239#4314—216no—
240C8×D11—216no—
241C23×SD16—112no—
242C22×C4⋊Q8—111no—
243C22×C4×D4—111no—
244C2×#461—1116no—
245C2×#461—111no—
246C2×#461—112no—
247C2×#461—112no—
248C2×#461—111no—
249C2×#461—111no—
250C2×#461D1111yescharacteristic, direct product factor
251C22×C4⋊C8—111no—
252C22×#103—112no—
253C23×C11—24no—
254C23×C11—22no—
255C23×C11—42no—
256C23×C11—42no—
257C23×C11C22×D411yescharacteristic
258C22×D11—24no—
259C22×D11—22no—
260C22×D11—216no—
261C22×D11—42no—
262C22×D11—42no—
263C22×D11—48no—
264C22×D11—48no—
265C22×D11—432no—
266C22×D11#12114yes—
267C22×D11C2×SD1614yes—
268C22×D11#13714yes—
269C22×D11C22×D412yes—
270Q8×C11—24no—
271Q8×C11—24no—
272Q8×C11—44no—
273D4×C11—24no—
274D4×C11—22no—
275D4×C11C22×D414yes—
276C2×C4×C11—22no—
277C2×C4×C11—24no—
278C2×C4×C11—22no—
279C2×C4×C11—44no—
280C2×C4×C11—42no—
281C2×C4×C11—48no—
282C2×C4×C11C2×SD1614yescomplemented
283C2×C4×C11C22×D412yes—
284C2×C4×C11C22×D411yescharacteristic
285C2×C4×C11C22×D412yes—
286C2×C4×C11C22×D412yes—
287C2×C4×C11C2×#4112yes—
288C2×C4×C11C2511yescharacteristic
289C22⋊D11—216no—
290C2×Dic11—22no—
291C2×Dic11—24no—
292C2×Dic11—22no—
293C2×Dic11—44no—
294C2×Dic11—42no—
295C2×Dic11—48no—
296C2×Dic11#12114yes—
297C2×Dic11C2×SD1614yescomplemented
298C2×Dic11C22×D412yes—
299C2×Dic11C22×D412yes—
300C2×Dic11C22×D412yes—
301D44—24no—
302D44—22no—
303D44C22×D414yes—
304C4×D11—28no—
305C4×D11—416no—
306C4×D11—48no—
307C4×D11—48no—
308C4×D11—48no—
309C4×D11#12118yes—
310C4×D11C2×SD16116yescomplemented
311C4×D11C22×D414yes—
312C4×D11C2×#4114yes—
313Dic22—24no—
314Dic22—24no—
315Dic22—44no—
316Dic22—416no—
317C8×C11—24no—
318C11⋊C8—24no—
319C23×Q8—112no—
320C23×D4—111no—
321C24×C4—221no—
322C22×SD16—112no—
323C22×SD16—112no—
324C22×SD16—1116no—
325C22×SD16—112no—
326C22×SD16—2216no—
327C22×SD16C2×D1112yes—
328C23×C8—112no—
329C2×C4⋊Q8—112no—
330C2×C4⋊Q8—118no—
331C2×C4⋊Q8—111no—
332C2×C4⋊Q8—221no—
333C2×C4⋊Q8—221no—
334C2×C4⋊Q8—224no—
335C2×C4⋊Q8C2×D1111yescharacteristic, complemented
336C2×C4×D4—111no—
337C2×C4×D4—118no—
338C2×C4×D4—111no—
339C2×C4×D4—111no—
340C2×C4×D4—221no—
341C2×C4×D4—224no—
342C2×C4×D4—221no—
343C2×C4×D4C2×D1111yescharacteristic
344C22×C4⋊C4—111no—
345C22×C4⋊C4—221no—
346C22×C4⋊C4—221no—
347C22×C22⋊C4—221no—
348C22×C42—111no—
349#461—1116no—
350#461—118no—
351#461—118no—
352#461—118no—
353#461—1116no—
354#461C2×D1118yesdirect product factor
355C2×C4⋊C8—112no—
356C2×C4⋊C8—111no—
357C2×C4⋊C8—118no—
358C2×C4⋊C8C2×D1111yescharacteristic, complemented
359C2×#103—112no—
360C2×#103—112no—
361C2×#103—112no—
362C2×#103—1116no—
363C2×#103C2×D1112yescomplemented
364C22×C11—24no—
365C22×C11—48no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11C2×#12112yes—
369C22×C11C22×SD1612yes—
370C22×C11C2×#13712yes—
371C22×C11C23×D411yescharacteristic
372C2×D11—24no—
373C2×D11—48no—
374C2×D11—42no—
375C2×D11—42no—
376C2×D11—432no—
377C2×D11#461116yesdirect product factor
378C2×D11C2×#12114yes—
379C2×D11C22×SD1614yes—
380C2×D11C2×#13714yes—
381C4×C11—22no—
382C4×C11—44no—
383C4×C11—42no—
384C4×C11C2×#12112yes—
385C4×C11C22×SD1614yescomplemented
386C4×C11C23×D411yescharacteristic
387C4×C11C22×#4111yescharacteristic
388Dic11—22no—
389Dic11—44no—
390Dic11—42no—
391Dic11C2×#12114yes—
392Dic11C22×SD1614yescomplemented
393C25—221no—
394C22×Q8—118no—
395C22×Q8—112no—
396C22×Q8—222no—
397C22×Q8—224no—
398C22×Q8—228no—
399C22×Q8—228no—
400C22×Q8C22×D1112yes—
401C22×D4—118no—
402C22×D4—114no—
403C22×D4—111no—
404C22×D4—222no—
405C22×D4—224no—
406C22×D4—221no—
407C22×D4C22×D1111yescharacteristic
408C23×C4—21no—
409C23×C4—111no—
410C23×C4—111no—
411C23×C4—111no—
412C23×C4—221no—
413C23×C4—228no—
414C23×C4—221no—
415C23×C4—222no—
416C23×C4—221no—
417C23×C4—221no—
418C23×C4—448no—
419C2×SD16—28no—
420C2×SD16—118no—
421C2×SD16—118no—
422C2×SD16—118no—
423C2×SD16—228no—
424C2×SD16—2264no—
425C2×SD16—228no—
426C2×SD16—228no—
427C2×SD16C22×D1118yes—
428C22×C8—112no—
429C22×C8—118no—
430C22×C8—228no—
431C22×C8C22×D1112yes—
432C4⋊Q8—22no—
433C4⋊Q8—118no—
434C4⋊Q8—114no—
435C4⋊Q8—228no—
436C4⋊Q8—228no—
437C4⋊Q8—224no—
438C4⋊Q8—222no—
439C4⋊Q8C22×D1114yescomplemented
440C4×D4—22no—
441C4×D4—114no—
442C4×D4—114no—
443C4×D4—114no—
444C4×D4—228no—
445C4×D4—222no—
446C4×D4—228no—
447C4×D4—222no—
448C4×D4—222no—
449C4×D4C22×D1114yes—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4—222no—
455C2×C4⋊C4—228no—
456C2×C4⋊C4—228no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—222no—
459C2×C4⋊C4—222no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—111no—
471C2×C42—114no—
472C2×C42—114no—
473C2×C42C22×D1111yescharacteristic
474C4⋊C8—118no—
475C4⋊C8—114no—
476C4⋊C8C22×D1114yescomplemented
477#103—118no—
478#103—118no—
479#103—118no—
480#103C22×D1118yescomplemented
481C2×C11—44no—
482C2×C11C2×#46114yescomplemented
483C2×C11C22×#12111yescharacteristic
484C2×C11C23×SD1611yescharacteristic
485C2×C11C22×#13711yescharacteristic
486D11—44no—
487D11C2×#46118yesdirect product factor
488C24—21no—
489C24—111no—
490C24—224no—
491C24—228no—
492C24—221no—
493C24—444no—
494C24—444no—
495C2×Q8—22no—
496C2×Q8—24no—
497C2×Q8—24no—
498C2×Q8—114no—
499C2×Q8—228no—
500C2×Q8—2216no—
501C2×Q8—2216no—
502C2×Q8—222no—
503C2×Q8—224no—
504C2×Q8—224no—
505C2×Q8—448no—
506C2×Q8—4416no—
507C2×Q8C23×D1114yes—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—1116no—
511C2×D4—114no—
512C2×D4—112no—
513C2×D4—2216no—
514C2×D4—228no—
515C2×D4—224no—
516C2×D4—228no—
517C2×D4—221no—
518C2×D4—222no—
519C2×D4D4×D1114yes—
520C2×D4C23×D1112yes—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—24no—
524C22×C4—44no—
525C22×C4—111no—
526C22×C4—111no—
527C22×C4—118no—
528C22×C4—114no—
529C22×C4—112no—
530C22×C4—114no—
531C22×C4—114no—
532C22×C4—112no—
533C22×C4—111no—
534C22×C4—114no—
535C22×C4—224no—
536C22×C4—224no—
537C22×C4—224no—
538C22×C4—228no—
539C22×C4—224no—
540C22×C4—221no—
541C22×C4—222no—
542C22×C4—224no—
543C22×C4—444no—
544C22×C4—4432no—
545C22×C4—444no—
546C22×C4—448no—
547C22×C4—444no—
548C22×C4—444no—
549C22×C4D4×D1111yescharacteristic
550C22×C4D4×D1111yescharacteristic
551C22×C4C23×D1111yescharacteristic
552SD16—216no—
553SD16—2216no—
554SD16—2216no—
555SD16—2216no—
556C2×C8—24no—
557C2×C8—114no—
558C2×C8—2216no—
559C2×C8—224no—
560C2×C8C23×D1114yes—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—112no—
565C4⋊C4—224no—
566C4⋊C4—228no—
567C4⋊C4—228no—
568C4⋊C4—221no—
569C4⋊C4—224no—
570C4⋊C4—224no—
571C4⋊C4C23×D1112yes—
572C22⋊C4—24no—
573C22⋊C4—224no—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C42—114no—
577C42—112no—
578C42—114no—
579C42—112no—
580C42D4×D1112yes—
581C42C23×D1112yes—
582C11C22×#46111yescharacteristic, complemented, Sylow
583C23—24no—
584C23—22no—
585C23—42no—
586C23—42no—
587C23—114no—
588C23—114no—
589C23—114no—
590C23—112no—
591C23—2216no—
592C23—224no—
593C23—222no—
594C23—448no—
595C23—4432no—
596C23—448no—
597C23—442no—
598C23—442no—
599C23C2×D4×D1111yescharacteristic
600Q8—24no—
601Q8—24no—
602Q8—44no—
603Q8—224no—
604Q8—224no—
605Q8—4416no—
606Q8—444no—
607D4—24no—
608D4—22no—
609D4—114no—
610D4—2216no—
611D4—224no—
612D4—222no—
613D4C2×D4×D1114yes—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—42no—
618C2×C4—44no—
619C2×C4—48no—
620C2×C4—114no—
621C2×C4—114no—
622C2×C4—112no—
623C2×C4—112no—
624C2×C4—1116no—
625C2×C4—118no—
626C2×C4—114no—
627C2×C4—114no—
628C2×C4—112no—
629C2×C4—228no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—224no—
633C2×C4—448no—
634C2×C4—448no—
635C2×C4—4416no—
636C2×C4—448no—
637C2×C4—442no—
638C2×C4—444no—
639C2×C4—448no—
640C2×C4SD16×D1114yescomplemented
641C2×C4C2×D4×D1112yes—
642C2×C4C2×D4×D1112yes—
643C2×C4C2×D4×D1111yescharacteristic
644C2×C4C2×D4×D1112yes—
645C2×C4#41×D1112yes—
646C2×C4C24×D1111yescharacteristic
647C8—24no—
648C8—224no—
649C22—24no—
650C22—48no—
651C22—42no—
652C22—42no—
653C22—1116no—
654C22—114no—
655C22—114no—
656C22—114no—
657C22—224no—
658C22—4432no—
659C22—448no—
660C22—442no—
661C22—442no—
662C22D11×#12112yes—
663C22C2×SD16×D1112yes—
664C22D11×#13712yes—
665C22C22×D4×D1111yescharacteristic
666C4—22no—
667C4—42no—
668C4—44no—
669C4—114no—
670C4—114no—
671C4—222no—
672C4—442no—
673C4—444no—
674C4D11×#12112yes—
675C4C2×SD16×D1114yescomplemented
676C4C22×D4×D1111yescharacteristic
677C4C2×#41×D1111yescharacteristic
678C2—44no—
679C2—118no—
680C2—444no—
681C2D11×#46114yesdirect product factor
682C2C2×D11×#12111yescharacteristic
683C2C22×SD16×D1111yescharacteristic
684C2C2×D11×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#461C2
socleC23×C11C22×D4
prime radicalC22×D4×D11C22
hypercenterC2×#461D11
hypocenterC11C22×#461
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
2. C2×D11×C4⋊Q8C2semidirect
4. C2×#10622454C2semidirect
5. C2×#10622632C2semidirect
6. C2×#10622431C2semidirect
7. C2×#10622775C2semidirect
8. C2×#10622696C2semidirect
9. D11×#461C2direct (N × H)
10. C2×D11×C4⋊C8C2semidirect
11. C2×D11×#103C2semidirect
12. C2×C11×#461C2semidirect
17. C2×C11×C4⋊Q8C22semidirect
19. C2×#66997C22semidirect
29. D11×C4⋊Q8C22semidirect
42. C2×#66922C22semidirect
43. C11×#461C22semidirect
44. C2×C11×C4⋊C8C22semidirect
45. C2×C11×#103C22semidirect
46. C2×#66899C22semidirect
47. #10622775C22semidirect
48. C2×#66880C22semidirect
49. C2×Dic11⋊C8C22semidirect
50. #10622696C22semidirect
51. #10622632C22semidirect
52. C2×#66874C22semidirect
53. C2×C4⋊(C11⋊C8)C22semidirect
54. #10622454C22semidirect
55. D11×C4⋊C8C22semidirect
56. #10622431C22semidirect
57. D11×#103C22semidirect
88. C11×C4⋊Q8C23semidirect
98. #66997C23semidirect
138. #66922C23semidirect
139. C11×C4⋊C8C23semidirect
140. C11×#103C23semidirect
141. #66899C23semidirect
142. #66880C23semidirect
143. Dic11⋊C8C23semidirect
144. #66874C23semidirect
145. C4⋊(C11⋊C8)C23semidirect
198. C2×C4×D11SD16semidirect
250. C2×#461D11direct (N × H)
282. C2×C4×C11C2×SD16semidirect
297. C2×Dic11C2×SD16semidirect
310. C4×D11C2×SD16semidirect
335. C2×C4⋊Q8C2×D11semidirect
354. #461C2×D11direct (N × H)
358. C2×C4⋊C8C2×D11semidirect
363. C2×#103C2×D11semidirect
377. C2×D11#461direct (N × H)
385. C4×C11C22×SD16semidirect
392. Dic11C22×SD16semidirect
439. C4⋊Q8C22×D11semidirect
476. C4⋊C8C22×D11semidirect
480. #103C22×D11semidirect
482. C2×C11C2×#461semidirect
487. D11C2×#461direct (N × H)
582. C11C22×#461semidirect
640. C2×C4SD16×D11semidirect
675. C4C2×SD16×D11semidirect
681. C2D11×#461direct (N × H)

Maximal subgroups

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

subgroupindex
C22×SD16×D112
C2×D11×C4⋊Q82
C2×C4×D4×D112
C2×#106224542
C2×#106226322
C2×#106224312
C2×#106227752
C2×#106226962
D11×#4612
C2×D11×C4⋊C82
C2×D11×#1032
C2×C11×#4612
C22×#46111