Finite Group Databasebeta

← #14914419

Subgroups — #14914419

Order 2816.

2726 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071701C212yesmaximal, complemented
2#13071668C212yesmaximal, complemented
3#13071600C214yesmaximal, complemented
4#13071589C212yesmaximal, complemented
5#13071556C212yesmaximal, complemented
6#13071476C212yesmaximal, complemented
7#13071446C212yesmaximal, complemented
8#13071383C212yesmaximal, complemented
9#13071374C212yesmaximal, complemented
10#13071249C212yesmaximal, complemented
11#123×Dic11C214yesmaximal, complemented
12C2×#10622824C211yesmaximal, characteristic, complemented
13#13070977C212yesmaximal, complemented
14C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
15C2×C11×#525C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C11×#525C4116yescomplemented
19C2×C11×#123C2212yes—
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×C11×C22⋊Q8C2211yescharacteristic
22C2×C11×#121C2211yescharacteristic
23C2×C11×#121C2211yescharacteristic
24C2×C11×#120C2212yes—
25C2×C4×D4×C11C2212yes—
26C2×C4×D4×C11C2212yes—
27C2×C11×#117C2211yescharacteristic
28C22×C22⋊Dic11C2212yes—
29C22×C22⋊Dic11C2212yes—
30C2×D4×Dic11C2214yes—
31C2×D4×Dic11C2214yes—
32C22×C4×Dic11C2212yes—
33#10622843C2214yescomplemented
34#10622834C2214yes—
35#10622833C2214yes—
36#10622833C2214yes—
37#10622833C2214yes—
38#10622833C2214yescomplemented
39#10622825C2212yescomplemented
40#10622824C2212yes—
41#10622824C2212yes—
42#10622824C2212yes—
43#10622824C2211yescharacteristic
44#10622824C2211yescharacteristic
45#10622824C2212yescomplemented
46C4×C22⋊Dic11C2212yes—
47C4×C22⋊Dic11C2212yes—
48C4×C22⋊Dic11C2211yescharacteristic
49C4×C22⋊Dic11C2211yescharacteristic
50C4×C22⋊Dic11C2212yes—
51C4×C22⋊Dic11C2212yescomplemented
52C2×C11⋊#95C2212yes—
53C2×C11⋊#95C2212yes—
54C2×C11⋊#95C2212yes—
55C2×C11⋊#95C2212yescomplemented
56#10622594C2214yescomplemented
57#10622594C2214yescomplemented
58#10622594C2214yescomplemented
59#10622594C2214yescomplemented
60C4⋊C4×Dic11C2214yescomplemented
61C4⋊C4×Dic11C2214yescomplemented
62#10622564C2214yes—
63#10622564C2214yes—
64#10622564C2214yescomplemented
65#10622564C2214yescomplemented
66#10622563C2214yes—
67#10622563C2214yes—
68C22⋊C4×Dic11C2214yes—
69C22⋊C4×Dic11C2214yes—
70C22⋊C4×Dic11C2214yescomplemented
71C22⋊C4×Dic11C2214yescomplemented
72#10622550C2212yescomplemented
73#10622549C2212yescomplemented
74C4×C4⋊Dic11C2212yescomplemented
75#10622545C2212yescomplemented
76C25×C11C2311yescharacteristic
77C2×C11×#41—44no—
78C2×C11×#41C2×C418yescomplemented
79C22×Q8×C11C2311yescharacteristic
80C22×D4×C11C2312yes—
81C22×D4×C11C2312yes—
82C22×D4×C11C2312yes—
83C22×D4×C11C2311yescharacteristic
84C23×C4×C11—44no—
85C23×C4×C11C2×C418yescomplemented
86C23×C4×C11C2311yescharacteristic
87C23×C4×C11C2311yescharacteristic
88C23×C4×C11C2311yescharacteristic
89C23×C4×C11C2311yescharacteristic
90C23×C4×C11C2312yes—
91C23×C4×C11C2311yescharacteristic
92C23×C4×C11C2311yescharacteristic
93C23×Dic11C2314yes—
94C23×Dic11C2314yes—
95C23×Dic11C2314yes—
96C11×#123C2×C4116yescomplemented
97C11×C22⋊Q8C2×C418yescomplemented
98C11×C22⋊Q8C2×C418yescomplemented
99C11×#121C2×C418yescomplemented
100C11×#121C2×C418yescomplemented
101C11×#120C2×C4116yescomplemented
102C4×D4×C11C2×C4116yescomplemented
103C4×D4×C11C2×C4116yescomplemented
104C11×#117C2×C418yescomplemented
105C2×C11×C4⋊C4C2312yes—
106C2×C11×C4⋊C4C2312yes—
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C22⋊C4C2312yes—
110C2×C11×C22⋊C4C2312yes—
111C2×C11×C22⋊C4C2312yes—
112C2×C11×C22⋊C4C2312yes—
113C2×C11×C22⋊C4C2312yes—
114C2×C42×C11C2312yes—
115C2×C22⋊Dic11—28no—
116C2×C22⋊Dic11—44no—
117C2×C22⋊Dic11C2314yes—
118C2×C22⋊Dic11C2314yes—
119C2×C22⋊Dic11C2312yes—
120C2×C22⋊Dic11C2314yes—
121C2×C22⋊Dic11C2314yes—
122C2×C22⋊Dic11C2314yes—
123C2×C22⋊Dic11C2312yes—
124C2×C22⋊Dic11C2312yes—
125C2×C22⋊Dic11C2312yes—
126D4×Dic11—216no—
127D4×Dic11—48no—
128C2×C4⋊Dic11C2314yes—
129C2×C4⋊Dic11C2314yes—
130C2×C4⋊Dic11C2314yes—
131C2×C4×Dic11—44no—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2314yes—
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2314yes—
138C11⋊#95C2312yes—
139C11⋊#95C2312yes—
140C11⋊#95C2314yes—
141C11⋊#95C2312yes—
142C11⋊#95C2312yes—
143C11⋊#95C2314yes—
144C11⋊#95C2314yes—
145C11⋊#95C2314yes—
146C11⋊#95C2314yes—
147C11⋊#95C2312yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2312yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153#34228—111nomaximal, Sylow
154C24×C11—24no—
155C24×C11—24no—
156C24×C11—42no—
157C24×C11C22×C414yes—
158C24×C11C2411yescharacteristic
159C24×C11C2412yes—
160C24×C11C2411yescharacteristic
161C24×C11C2411yescharacteristic
162C11×#41—416no—
163C2×Q8×C11—42no—
164C2×Q8×C11C22×C414yes—
165C2×D4×C11—28no—
166C2×D4×C11—28no—
167C2×D4×C11—42no—
168C2×D4×C11—42no—
169C2×D4×C11—42no—
170C2×D4×C11C22×C418yes—
171C2×D4×C11C22×C418yes—
172C2×D4×C11C22×C418yes—
173C2×D4×C11C22×C414yes—
174C22×C4×C11—24no—
175C22×C4×C11—24no—
176C22×C4×C11—416no—
177C22×C4×C11—42no—
178C22×C4×C11—42no—
179C22×C4×C11—42no—
180C22×C4×C11—42no—
181C22×C4×C11—44no—
182C22×C4×C11C22×C414yes—
183C22×C4×C11C22×C414yes—
184C22×C4×C11C22×C414yes—
185C22×C4×C11C22×C414yes—
186C22×C4×C11C22×C418yes—
187C22×C4×C11C22×C414yes—
188C22×C4×C11C22×C414yes—
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C22×C4×C11C2411yescharacteristic
192C22×C4×C11C2411yescharacteristic
193C22×C4×C11C2412yes—
194C22×C4×C11C2412yes—
195C22×C4×C11C2412yes—
196C22×Dic11—28no—
197C22×Dic11—28no—
198C22×Dic11—28no—
199C22×Dic11—28no—
200C22×Dic11—44no—
201C22×Dic11—44no—
202C22×Dic11—44no—
203C22×Dic11—44no—
204C22×Dic11—44no—
205C22×Dic11C2414yes—
206C22×Dic11C2414yes—
207C22×Dic11C2414yes—
208C22×Dic11C2414yes—
209C11×C4⋊C4C22×C414yes—
210C11×C4⋊C4C22×C414yes—
211C11×C4⋊C4C22×C418yes—
212C11×C4⋊C4C22×C418yes—
213C11×C22⋊C4C22×C418yes—
214C11×C22⋊C4C22×C418yes—
215C11×C22⋊C4C22×C418yes—
216C11×C22⋊C4C22×C418yes—
217C11×C22⋊C4C22×C418yes—
218C42×C11C22×C418yes—
219C22⋊Dic11—28no—
220C22⋊Dic11—28no—
221C22⋊Dic11—24no—
222C22⋊Dic11—28no—
223C22⋊Dic11—44no—
224C22⋊Dic11—42no—
225C22⋊Dic11—42no—
226C22⋊Dic11—44no—
227C22⋊Dic11#4118yescomplemented
228C4⋊Dic11—28no—
229C4⋊Dic11—44no—
230C4⋊Dic11—44no—
231C4×Dic11—28no—
232C4×Dic11—42no—
233C4×Dic11—44no—
234C4×Dic11—42no—
235C4×Dic11—44no—
236C4×Dic11—44no—
237C2×#525D1111yescharacteristic
238#2368—112no—
239#2364—112no—
240#2358—114no—
241#2357—112no—
242#2353—112no—
243#2343—112no—
244#2339—112no—
245#2333—112no—
246#2332—112no—
247#2318—112no—
248C4×#123—114no—
249C2×#381—111no—
250#2275—112no—
251C2×C4×C22⋊C4—111no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—28no—
257C23×C11—28no—
258C23×C11—22no—
259C23×C11—24no—
260C23×C11—22no—
261C23×C11—24no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—44no—
266C23×C11—416no—
267C23×C11C23×C412yes—
268C23×C11C23×C414yes—
269C23×C11C23×C412yes—
270C23×C11C23×C412yes—
271C23×C11C2×#4114yes—
272C23×C11H(5,𝔽2)14yes—
273C23×C11C2511yescharacteristic
274Q8×C11—44no—
275D4×C11—216no—
276D4×C11—216no—
277D4×C11—48no—
278D4×C11—44no—
279C2×C4×C11—28no—
280C2×C4×C11—28no—
281C2×C4×C11—24no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—44no—
290C2×C4×C11—44no—
291C2×C4×C11—44no—
292C2×C4×C11—44no—
293C2×C4×C11—48no—
294C2×C4×C11C23×C412yes—
295C2×C4×C11C23×C414yes—
296C2×C4×C11C23×C414yes—
297C2×C4×C11C23×C412yes—
298C2×C4×C11C23×C412yes—
299C2×C4×C11C23×C414yes—
300C2×C4×C11C23×C412yes—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—416no—
313C2×Dic11—88no—
314C2×Dic11—88no—
315C2×Dic11C2×#4118yes—
316C22×#41C2×D1111yescharacteristic
317C24×C4C2×D1111yescharacteristic
318#525Dic11116yescomplemented
319C2×#123C2×D1112yes—
320C2×C22⋊Q8C2×D1111yescharacteristic
321C2×C22⋊Q8C2×D1111yescharacteristic
322C2×#121C2×D1111yescharacteristic
323C2×#121C2×D1111yescharacteristic
324C2×#120C2×D1112yes—
325C2×C4×D4—114no—
326C2×C4×D4—114no—
327C2×C4×D4C2×D1112yes—
328C2×C4×D4C2×D1112yes—
329C2×#117C2×D1111yescharacteristic
330C22×C22⋊C4—112no—
331C22×C22⋊C4—112no—
332C22×C42—112no—
333#391—114no—
334#390—114no—
335#388—114no—
336#388—114no—
337#388—114no—
338#388—114no—
339#387—114no—
340#387—114no—
341#387—114no—
342#387—114no—
343#386—114no—
344#386—114no—
345#386—114no—
346#386—114no—
347#385—114no—
348#385—114no—
349#383—112no—
350#382—112no—
351#381—112no—
352#381—112no—
353#381—112no—
354#381—111no—
355#381—111no—
356#381—112no—
357#380—112no—
358C4×C4⋊C4—114no—
359C4×C4⋊C4—114no—
360C4×C4⋊C4—112no—
361C4×C22⋊C4—111no—
362C4×C22⋊C4—112no—
363C4×C22⋊C4—112no—
364C4×C22⋊C4—112no—
365C4×C22⋊C4—112no—
366C4×C22⋊C4—111no—
367C4×C22⋊C4—114no—
368C4×C22⋊C4—114no—
369C4×C22⋊C4—114no—
370C4×C22⋊C4—114no—
371#376—112no—
372C2×#95—112no—
373C2×#95—112no—
374C2×#95—112no—
375C2×#95—112no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—28no—
381C22×C11—28no—
382C22×C11—24no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—24no—
386C22×C11—22no—
387C22×C11—24no—
388C22×C11—416no—
389C22×C11—44no—
390C22×C11—44no—
391C22×C11—44no—
392C22×C11C4×#4114yes—
393C22×C11#51814yes—
394C22×C11C24×C411yescharacteristic
395C22×C11C22×#4112yes—
396C22×C11C2×H(5,𝔽2)12yes—
397C22×C11#58512yes—
398C4×C11—24no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—24no—
404C4×C11—24no—
405Dic11—28no—
406Dic11—44no—
407Dic11—44no—
408Dic11—44no—
409C25C22×D1111yescharacteristic
410C2×#41—44no—
411C2×#41C2×Dic1118yescomplemented
412C22×Q8C22×D1111yescharacteristic
413C22×D4C22×D1112yes—
414C22×D4C22×D1112yes—
415C22×D4C22×D1112yes—
416C22×D4C22×D1111yescharacteristic
417C23×C4—44no—
418C23×C4—114no—
419C23×C4—114no—
420C23×C4—114no—
421C23×C4C2×Dic1118yescomplemented
422C23×C4C22×D1111yescharacteristic
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1112yes—
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1111yescharacteristic
429#123C2×Dic11116yescomplemented
430C22⋊Q8C2×Dic1118yescomplemented
431C22⋊Q8C2×Dic1118yescomplemented
432#121C2×Dic1118yescomplemented
433#121C2×Dic1118yescomplemented
434#120C2×Dic11116yescomplemented
435C4×D4—2216no—
436C4×D4—448no—
437C4×D4C2×Dic11116yescomplemented
438C4×D4C2×Dic11116yescomplemented
439#117C2×Dic1118yescomplemented
440C2×C4⋊C4—114no—
441C2×C4⋊C4—114no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4C22×D1111yescharacteristic
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C4⋊C4C22×D1112yes—
446C2×C4⋊C4C22×D1112yes—
447C2×C22⋊C4—112no—
448C2×C22⋊C4—114no—
449C2×C22⋊C4—112no—
450C2×C22⋊C4—114no—
451C2×C22⋊C4—114no—
452C2×C22⋊C4—112no—
453C2×C22⋊C4—112no—
454C2×C22⋊C4—114no—
455C2×C22⋊C4—114no—
456C2×C22⋊C4—228no—
457C2×C22⋊C4—444no—
458C2×C22⋊C4C22×D1112yes—
459C2×C22⋊C4C22×D1112yes—
460C2×C22⋊C4C22×D1112yes—
461C2×C22⋊C4C22×D1112yes—
462C2×C22⋊C4C22×D1112yes—
463C2×C42—114no—
464C2×C42—114no—
465C2×C42—112no—
466C2×C42—114no—
467C2×C42—114no—
468C2×C42—112no—
469C2×C42—444no—
470C2×C42C22×D1112yes—
471#95—112no—
472#95—112no—
473#95—112no—
474#95—112no—
475#95—114no—
476#95—112no—
477#95—114no—
478#95—114no—
479#95—112no—
480#95—114no—
481#95—114no—
482#95—114no—
483#95—114no—
484#95—114no—
485#95—114no—
486C2×C11—24no—
487C2×C11—24no—
488C2×C11—44no—
489C2×C11—42no—
490C2×C11C2×C4×#4111yescharacteristic
491C2×C11C2×#51811yescharacteristic
492C2×C11#342811yescharacteristic
493C2×C11#351314yes—
494C24—24no—
495C24—24no—
496C24—42no—
497C24C22×Dic1114yes—
498C24C23×D1111yescharacteristic
499C24C23×D1112yes—
500C24C23×D1111yescharacteristic
501C24C23×D1111yescharacteristic
502#41—416no—
503C2×Q8—42no—
504C2×Q8C22×Dic1114yes—
505C2×D4—28no—
506C2×D4—28no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4C22×Dic1118yes—
511C2×D4C22×Dic1118yes—
512C2×D4C22×Dic1118yes—
513C2×D4C22×Dic1114yes—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—416no—
521C22×C4—44no—
522C22×C4—114no—
523C22×C4—114no—
524C22×C4—114no—
525C22×C4—114no—
526C22×C4—228no—
527C22×C4—228no—
528C22×C4—228no—
529C22×C4—228no—
530C22×C4—444no—
531C22×C4—444no—
532C22×C4—444no—
533C22×C4—444no—
534C22×C4—444no—
535C22×C4C22×Dic1114yes—
536C22×C4C22×Dic1114yes—
537C22×C4C22×Dic1114yes—
538C22×C4C22×Dic1114yes—
539C22×C4C22×Dic1118yes—
540C22×C4C22×Dic1114yes—
541C22×C4C22×Dic1114yes—
542C22×C4C23×D1111yescharacteristic
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1111yescharacteristic
545C22×C4C23×D1111yescharacteristic
546C22×C4C23×D1112yes—
547C22×C4C23×D1112yes—
548C22×C4C23×D1112yes—
549C4⋊C4—228no—
550C4⋊C4—444no—
551C4⋊C4—444no—
552C4⋊C4C22×Dic1114yes—
553C4⋊C4C22×Dic1114yes—
554C4⋊C4C22×Dic1118yes—
555C4⋊C4C22×Dic1118yes—
556C22⋊C4—118no—
557C22⋊C4—228no—
558C22⋊C4—228no—
559C22⋊C4—228no—
560C22⋊C4—224no—
561C22⋊C4—442no—
562C22⋊C4—442no—
563C22⋊C4—444no—
564C22⋊C4—444no—
565C22⋊C4C22×Dic1118yes—
566C22⋊C4C22×Dic1118yes—
567C22⋊C4C22×Dic1118yes—
568C22⋊C4C22×Dic1118yes—
569C22⋊C4C22×Dic1118yes—
570C42—228no—
571C42—442no—
572C42—444no—
573C42—442no—
574C42—444no—
575C42—444no—
576C42C22×Dic1118yes—
577C11#3422811yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—28no—
583C23—28no—
584C23—22no—
585C23—24no—
586C23—22no—
587C23—24no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—44no—
592C23—416no—
593C23#6703714yes—
594C23#41×D1114yes—
595C23C23×Dic1112yes—
596C23C23×Dic1114yes—
597C23C23×Dic1112yes—
598C23C23×Dic1112yes—
599C23C24×D1111yescharacteristic
600Q8—44no—
601D4—216no—
602D4—216no—
603D4—48no—
604D4—44no—
605C2×C4—28no—
606C2×C4—28no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—48no—
620C2×C4—118no—
621C2×C4—224no—
622C2×C4—224no—
623C2×C4—224no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—224no—
627C2×C4—224no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—224no—
631C2×C4—224no—
632C2×C4—4416no—
633C2×C4—888no—
634C2×C4—888no—
635C2×C4C23×Dic1112yes—
636C2×C4C23×Dic1114yes—
637C2×C4C23×Dic1114yes—
638C2×C4C23×Dic1112yes—
639C2×C4C23×Dic1112yes—
640C2×C4C23×Dic1114yes—
641C2×C4C23×Dic1112yes—
642C22—28no—
643C22—28no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—24no—
649C22—22no—
650C22—22no—
651C22—24no—
652C22—22no—
653C22—24no—
654C22—416no—
655C22—44no—
656C22—44no—
657C22—44no—
658C22#1062332914yes—
659C22#41×Dic1114yes—
660C22C2×#6703712yes—
661C22C2×#41×D1112yes—
662C22#1062345312yes—
663C22C24×Dic1111yescharacteristic
664C4—24no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—22no—
669C4—24no—
670C4—24no—
671C4—228no—
672C4—444no—
673C4—444no—
674C4—444no—
675C2—24no—
676C2—24no—
677C2—42no—
678C2—44no—
679C2C2×#41×Dic1111yescharacteristic
680C2C2×#1062332911yescharacteristic
681C2#1308181911yescharacteristic
682C2#1308254214yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC2×C11×#525C2
socle, cosocleC23×C11C25
hypercenterC2×#525D11
hypocenterC11#34228
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #13071701C2semidirect
2. #13071668C2semidirect
3. #13071600C2semidirect
4. #13071589C2semidirect
5. #13071556C2semidirect
6. #13071476C2semidirect
7. #13071446C2semidirect
8. #13071383C2semidirect
9. #13071374C2semidirect
10. #13071249C2semidirect
11. #123×Dic11C2semidirect
12. C2×#10622824C2semidirect
13. #13070977C2semidirect
14. C2×C4×C22⋊Dic11C2semidirect
18. C11×#525C4semidirect
33. #10622843C22semidirect
38. #10622833C22semidirect
39. #10622825C22semidirect
45. #10622824C22semidirect
51. C4×C22⋊Dic11C22semidirect
55. C2×C11⋊#95C22semidirect
56. #10622594C22semidirect
57. #10622594C22semidirect
58. #10622594C22semidirect
59. #10622594C22semidirect
60. C4⋊C4×Dic11C22semidirect
61. C4⋊C4×Dic11C22semidirect
64. #10622564C22semidirect
65. #10622564C22semidirect
70. C22⋊C4×Dic11C22semidirect
71. C22⋊C4×Dic11C22semidirect
72. #10622550C22semidirect
73. #10622549C22semidirect
74. C4×C4⋊Dic11C22semidirect
75. #10622545C22semidirect
78. C2×C11×#41C2×C4semidirect
85. C23×C4×C11C2×C4semidirect
96. C11×#123C2×C4semidirect
97. C11×C22⋊Q8C2×C4semidirect
98. C11×C22⋊Q8C2×C4semidirect
99. C11×#121C2×C4semidirect
100. C11×#121C2×C4semidirect
101. C11×#120C2×C4semidirect
102. C4×D4×C11C2×C4semidirect
103. C4×D4×C11C2×C4semidirect
104. C11×#117C2×C4semidirect
227. C22⋊Dic11#41semidirect
318. #525Dic11semidirect
411. C2×#41C2×Dic11semidirect
421. C23×C4C2×Dic11semidirect
429. #123C2×Dic11semidirect
430. C22⋊Q8C2×Dic11semidirect
431. C22⋊Q8C2×Dic11semidirect
432. #121C2×Dic11semidirect
433. #121C2×Dic11semidirect
434. #120C2×Dic11semidirect
437. C4×D4C2×Dic11semidirect
438. C4×D4C2×Dic11semidirect
439. #117C2×Dic11semidirect
577. C11#34228semidirect

Maximal subgroups

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

subgroupindex
#130717012
#130716682
#130716002
#130715892
#130715562
#130714762
#130714462
#130713832
#130713742
#130712492
#123×Dic112
C2×#106228242
#130709772
C2×C4×C22⋊Dic112
C2×C11×#5252
#3422811