Finite Group Databasebeta

← #14914730

Subgroups — #14914730

Order 2816.

2834 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
1C2×#10623017C211yesmaximal, characteristic
2#13071552C214yesmaximal, complemented
3#13071541C214yesmaximal, complemented
4#13071474C214yesmaximal, complemented
5#13071463C214yesmaximal, complemented
6#13071244C214yesmaximal, complemented
7#13071230C211yesmaximal, characteristic, complemented
8#13071191C211yesmaximal, characteristic
9#13071052C214yesmaximal, complemented
10C2×#10622826C211yesmaximal, characteristic
11#13070969C211yesmaximal, characteristic, complemented
12C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
13C2×C11×#385C211yesmaximal, characteristic, complemented
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C22×C11×C4⋊C4C2212yescomplemented
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C11×C22⋊C4C2211yescharacteristic
19C22×C22⋊Dic11C2211yescharacteristic
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C2×C4×C22⋊D11C2214yes—
23C22×(C2×D11)⋊C4C2212yes—
24C22×C4×Dic11C2212yescomplemented
25C2×#66945C2214yescomplemented
26#10623017C4116yescomplemented
27C2×(C22⋊D11)⋊C4C2214yes—
28C2×C22⋊C4×D11C2212yes—
29C2×#66930C2212yes—
30C11×#385C2214yes—
31C11×#385C2212yescomplemented
32C11×#385C2212yescomplemented
33C2×C11×#95C2212yescomplemented
34#10622826C2212yes—
35#10622826C2212yes—
36#10622826C2212yes—
37#10622826C2214yes—
38#10622826C2212yes—
39#10622825C2214yescomplemented
40C4×C22⋊Dic11C2214yes—
41C4×C22⋊Dic11C2214yescomplemented
42C4×C22⋊Dic11C2212yescomplemented
43C4×C22⋊Dic11C2212yescomplemented
44C2×C11⋊#95C2212yes—
45C2×C11⋊#95C2212yescomplemented
46#10622603C2214yescomplemented
47#10622603C2214yescomplemented
48#10622600C2214yescomplemented
49#10622591C2214yescomplemented
50#10622591C2214yescomplemented
51#10622590C2214yescomplemented
52C4⋊C4×Dic11C2214yescomplemented
53#10622571C2214yes—
54#10622568C2212yes—
55#10622563C2214yes—
56#10622563C2214yescomplemented
57#10622556C2212yes—
58C22⋊C4×Dic11C2214yes—
59C22⋊C4×Dic11C2214yescomplemented
60#10622283C2214yescomplemented
61#10622283C2214yescomplemented
62#10622279C2214yescomplemented
63#10622277C2214yescomplemented
64#10622268C2214yescomplemented
65#10622268C2214yescomplemented
66#10622264C2214yescomplemented
67#10622261C2214yescomplemented
68C25×C11C2311yescharacteristic
69C24×D11C2311yescharacteristic
70C23×C4×C11—24no—
71C23×C4×C11—44no—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2312yes—
74C23×C4×C11C2312yes—
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2312yes—
79C22×C22⋊D11—24no—
80C22×C22⋊D11—24no—
81C22×C22⋊D11C2×C418yes—
82C22×C22⋊D11C2312yes—
83C22×C22⋊D11C2312yes—
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2312yes—
86C23×Dic11C2312yes—
87C23×Dic11C2312yes—
88C22×C4×D11C2314yes—
89C2×C11×C4⋊C4—44no—
90C2×C11×C4⋊C4C2314yes—
91C2×C11×C4⋊C4C2314yes—
92C2×C11×C22⋊C4—24no—
93C2×C11×C22⋊C4C2×C418yes—
94C2×C11×C22⋊C4C2312yes—
95C2×C11×C22⋊C4C2312yes—
96C2×C11×C22⋊C4C2312yes—
97C2×C11×C22⋊C4C2312yes—
98C2×C22⋊Dic11—24no—
99C2×C22⋊Dic11—24no—
100C2×C22⋊Dic11C2×C418yes—
101C2×C22⋊Dic11C2312yes—
102C2×C22⋊Dic11C2312yes—
103C2×C22⋊Dic11C2312yes—
104C2×C22⋊Dic11C2312yes—
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2312yes—
107C4×C22⋊D11C2×C4132yescomplemented
108C2×(C2×D11)⋊C4—44no—
109C2×(C2×D11)⋊C4C2314yes—
110C2×(C2×D11)⋊C4C2314yes—
111C2×(C2×D11)⋊C4C2314yes—
112C2×(C2×D11)⋊C4C2314yes—
113C2×(C2×D11)⋊C4C2314yes—
114C2×C4⋊Dic11C2314yes—
115C2×C4⋊Dic11C2314yes—
116C2×Dic11⋊C4C2314yes—
117C2×C4×Dic11—44no—
118C2×C4×Dic11C2314yes—
119C2×C4×Dic11C2314yes—
120C2×C4×Dic11C2314yes—
121C2×C4×Dic11C2314yes—
122C2×C4×Dic11C2314yes—
123#66945—48no—
124(C22⋊D11)⋊C4C2×C4132yescomplemented
125C22⋊C4×D11C2×C4116yescomplemented
126#66930C2×C4116yescomplemented
127C11×#95C2314yes—
128C11×#95C2314yes—
129C11⋊#95C2314yes—
130C11⋊#95C2314yes—
131C11⋊#95C2314yes—
132C11⋊#95C2314yes—
133C11⋊#95C2314yes—
134C11⋊#95C2314yes—
135C11⋊#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C11⋊#95C2314yes—
139#34251—111nomaximal, Sylow
140C24×C11—42no—
141C24×C11—42no—
142C24×C11C22×C414yes—
143C24×C11#4114yes—
144C24×C11#4114yes—
145C24×C11C2411yescharacteristic
146C24×C11C2411yescharacteristic
147C24×C11C2411yescharacteristic
148C23×D11—22no—
149C23×D11—22no—
150C23×D11—42no—
151C23×D11—42no—
152C23×D11C22×C414yes—
153C23×D11C2412yes—
154C22×C4×C11—22no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—42no—
164C22×C4×C11—42no—
165C22×C4×C11—42no—
166C22×C4×C11—42no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—42no—
170C22×C4×C11—416no—
171C22×C4×C11C22×C418yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2414yes—
176C22×C4×C11C2412yes—
177C2×C22⋊D11—232no—
178C2×C22⋊D11—24no—
179C2×C22⋊D11—24no—
180C2×C22⋊D11—24no—
181C2×C22⋊D11—24no—
182C2×C22⋊D11C22×C418yes—
183C2×C22⋊D11C22×C418yes—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—42no—
189C22×Dic11—42no—
190C22×Dic11—42no—
191C22×Dic11—42no—
192C22×Dic11—42no—
193C22×Dic11—42no—
194C22×Dic11C22×C414yes—
195C22×Dic11C22×C418yes—
196C22×Dic11C2414yes—
197C22×Dic11C2414yes—
198C22×Dic11C2412yes—
199C22×Dic11C2414yes—
200C2×C4×D11—44no—
201C2×C4×D11—44no—
202C2×C4×D11C22×C4116yescomplemented
203C11×C4⋊C4—28no—
204C11×C4⋊C4—44no—
205C11×C22⋊C4—24no—
206C11×C22⋊C4—24no—
207C11×C22⋊C4C22×C418yes—
208C11×C22⋊C4C22×C418yes—
209C22⋊Dic11—24no—
210C22⋊Dic11—24no—
211C22⋊Dic11—24no—
212C22⋊Dic11—24no—
213C22⋊Dic11C22×C418yes—
214C22⋊Dic11C22×C418yes—
215(C2×D11)⋊C4—28no—
216(C2×D11)⋊C4—44no—
217(C2×D11)⋊C4—44no—
218(C2×D11)⋊C4—44no—
219(C2×D11)⋊C4C22×C4116yescomplemented
220C4⋊Dic11—44no—
221C4⋊Dic11—44no—
222Dic11⋊C4C22×C4116yescomplemented
223C4×Dic11—28no—
224C4×Dic11—44no—
225C4×Dic11—44no—
226C4×Dic11—44no—
227C4×Dic11C22×C4116yescomplemented
228C2×#518—111no—
229#2353—114no—
230#2352—114no—
231#2343—114no—
232#2342—114no—
233#2318—114no—
234#2315—111no—
235#2308—111no—
236#2290—114no—
237C2×#386—111no—
238C2×#385D1111yescharacteristic, complemented
239#2273—111no—
240C2×C4×C22⋊C4—111no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—44no—
248C23×C11—48no—
249C23×C11—44no—
250C23×C11—48no—
251C23×C11#117116yescomplemented
252C23×C11C23×C412yes—
253C23×C11C23×C412yes—
254C23×C11C23×C412yes—
255C23×C11C2×#4112yes—
256C23×C11C2×#4112yes—
257C23×C11C2×#4112yes—
258C23×C11C2×#4112yes—
259C23×C11C2×#4112yes—
260C23×C11C2×#4112yes—
261C23×C11C2511yescharacteristic
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—24no—
265C22×D11—24no—
266C22×D11—28no—
267C22×D11—48no—
268C22×D11—82no—
269C22×D11—82no—
270C22×D11—84no—
271C22×D11C23×C414yes—
272C2×C4×C11—28no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—24no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—24no—
284C2×C4×C11—48no—
285C2×C4×C11—48no—
286C2×C4×C11—48no—
287C2×C4×C11—44no—
288C2×C4×C11—82no—
289C2×C4×C11—82no—
290C2×C4×C11C23×C418yes—
291C2×C4×C11H(5,𝔽2)14yes—
292C22⋊D11—216no—
293C22⋊D11—216no—
294C2×Dic11—28no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—48no—
306C2×Dic11—48no—
307C2×Dic11—84no—
308C2×Dic11C23×C414yes—
309C2×Dic11C23×C418yes—
310C4×D11—416no—
311C23×D4—111no—
312C24×C4C2×D1111yescharacteristic
313#518—1116no—
314C2×C4×D4—114no—
315C2×C4×D4—114no—
316C2×#117—114no—
317C2×#117—112no—
318C22×C4⋊C4C2×D1112yescomplemented
319C22×C22⋊C4—111no—
320C22×C22⋊C4—112no—
321C22×C22⋊C4—111no—
322C22×C22⋊C4—111no—
323C22×C22⋊C4—112no—
324C22×C22⋊C4C2×D1111yescharacteristic
325C22×C22⋊C4C2×D1111yescharacteristic
326C22×C42—112no—
327#388—114no—
328#388—114no—
329#388—114no—
330#388—114no—
331#387—114no—
332#387—114no—
333#387—114no—
334#387—114no—
335#386—112no—
336#386—112no—
337#386—112no—
338#386—114no—
339#386—112no—
340#386—114no—
341#385—114no—
342#385—114no—
343#385C2×D1114yes—
344#385C2×D1112yescomplemented
345#385C2×D1112yescomplemented
346#383—114no—
347#382—114no—
348#381—112no—
349#381—114no—
350#380—114no—
351#380—114no—
352#379—112no—
353C4×C4⋊C4—114no—
354C4×C22⋊C4—114no—
355C4×C22⋊C4—112no—
356C4×C22⋊C4—114no—
357C4×C22⋊C4—112no—
358C4×C22⋊C4—114no—
359C4×C22⋊C4—114no—
360C4×C22⋊C4—114no—
361#376—114no—
362C2×#95—112no—
363C2×#95—112no—
364C2×#95C2×D1112yescomplemented
365C22×C11—24no—
366C22×C11—24no—
367C22×C11—24no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—24no—
375C22×C11—24no—
376C22×C11—24no—
377C22×C11—416no—
378C22×C11C2×#11714yes—
379C22×C11C2×#11714yes—
380C22×C11C2×#11714yes—
381C22×C11C24×C411yescharacteristic
382C22×C11C22×#4111yescharacteristic
383C22×C11C22×#4111yescharacteristic
384C22×C11C2×H(5,𝔽2)12yes—
385C22×C11#58512yes—
386C2×D11—24no—
387C2×D11—28no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—44no—
391C2×D11—88no—
392C4×C11—28no—
393C4×C11—24no—
394C4×C11—42no—
395C4×C11—42no—
396C4×C11—42no—
397Dic11—24no—
398Dic11—28no—
399Dic11—44no—
400Dic11—44no—
401C25—111no—
402C25C22×D1111yescharacteristic
403C22×D4—118no—
404C22×D4—112no—
405C22×D4—112no—
406C22×D4—224no—
407C22×D4—224no—
408C23×C4—24no—
409C23×C4—44no—
410C23×C4—111no—
411C23×C4—112no—
412C23×C4—114no—
413C23×C4—112no—
414C23×C4—112no—
415C23×C4C22×D1111yescharacteristic
416C23×C4C22×D1112yes—
417C23×C4C22×D1112yes—
418C23×C4C22×D1111yescharacteristic
419C23×C4C22×D1111yescharacteristic
420C23×C4C22×D1111yescharacteristic
421C23×C4C22×D1112yes—
422C4×D4—1132no—
423C4×D4—1132no—
424#117—1116no—
425#117—448no—
426C2×C4⋊C4—44no—
427C2×C4⋊C4—114no—
428C2×C4⋊C4—114no—
429C2×C4⋊C4—114no—
430C2×C4⋊C4C22×D1114yes—
431C2×C4⋊C4C22×D1114yes—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—112no—
435C2×C22⋊C4—112no—
436C2×C22⋊C4—114no—
437C2×C22⋊C4—1116no—
438C2×C22⋊C4—112no—
439C2×C22⋊C4—112no—
440C2×C22⋊C4—112no—
441C2×C22⋊C4—112no—
442C2×C22⋊C4—114no—
443C2×C22⋊C4—114no—
444C2×C22⋊C4—114no—
445C2×C22⋊C4—114no—
446C2×C22⋊C4—224no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—444no—
449C2×C22⋊C4C4×D1118yes—
450C2×C22⋊C4C22×D1112yes—
451C2×C22⋊C4C22×D1112yes—
452C2×C22⋊C4C22×D1112yes—
453C2×C22⋊C4C22×D1112yes—
454C2×C42—114no—
455C2×C42—114no—
456C2×C42—114no—
457C2×C42—114no—
458C2×C42—114no—
459C2×C42—444no—
460#95—114no—
461#95—114no—
462#95—114no—
463#95—114no—
464#95—114no—
465#95—114no—
466#95—114no—
467#95—114no—
468#95—114no—
469#95—114no—
470#95C22×D1114yes—
471#95C22×D1114yes—
472C2×C11—24no—
473C2×C11—24no—
474C2×C11—24no—
475C2×C11C22×#11711yescharacteristic
476C2×C11C4×H(5,𝔽2)12yes—
477C2×C11#349011yescharacteristic
478C2×C11#349111yescharacteristic
479C2×C11#350512yes—
480D11—44no—
481C24—42no—
482C24—42no—
483C24—112no—
484C24—114no—
485C24—222no—
486C24—222no—
487C24—442no—
488C24—442no—
489C24C2×C4×D1114yes—
490C24#434114yes—
491C24#434314yes—
492C24C23×D1111yescharacteristic
493C24C23×D1111yescharacteristic
494C24C23×D1111yescharacteristic
495C2×D4—118no—
496C2×D4—118no—
497C2×D4—2232no—
498C2×D4—224no—
499C2×D4—224no—
500C2×D4—224no—
501C2×D4—224no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—416no—
519C22×C4—114no—
520C22×C4—112no—
521C22×C4—114no—
522C22×C4—118no—
523C22×C4—1116no—
524C22×C4—114no—
525C22×C4—114no—
526C22×C4—222no—
527C22×C4—222no—
528C22×C4—224no—
529C22×C4—224no—
530C22×C4—444no—
531C22×C4—444no—
532C22×C4—442no—
533C22×C4—442no—
534C22×C4—442no—
535C22×C4—442no—
536C22×C4—442no—
537C22×C4—442no—
538C22×C4C2×C4×D1118yes—
539C22×C4C23×D1112yes—
540C22×C4C23×D1112yes—
541C22×C4C23×D1112yes—
542C22×C4C23×D1114yes—
543C22×C4C23×D1112yes—
544C4⋊C4—28no—
545C4⋊C4—44no—
546C4⋊C4—1116no—
547C4⋊C4—444no—
548C4⋊C4—444no—
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—118no—
552C22⋊C4—118no—
553C22⋊C4—1116no—
554C22⋊C4—224no—
555C22⋊C4—224no—
556C22⋊C4—224no—
557C22⋊C4—224no—
558C22⋊C4—228no—
559C22⋊C4—444no—
560C22⋊C4—444no—
561C22⋊C4—444no—
562C22⋊C4C2×C4×D1118yes—
563C22⋊C4C2×C4×D1118yes—
564C42—1116no—
565C42—228no—
566C42—444no—
567C42—444no—
568C42—444no—
569C11#3425111yescharacteristic, complemented, Sylow
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—44no—
577C23—48no—
578C23—44no—
579C23—48no—
580C23—114no—
581C23—222no—
582C23—224no—
583C23—222no—
584C23—224no—
585C23—228no—
586C23—448no—
587C23—884no—
588C23—882no—
589C23—882no—
590C23#66945116yescomplemented
591C23C22×C4×D1112yes—
592C23C22×C4×D1112yes—
593C23C22×C4×D1112yes—
594C23C2×#434112yes—
595C23C2×#434112yes—
596C23C2×#434112yes—
597C23C2×#434312yes—
598C23C2×#434312yes—
599C23C2×#434312yes—
600C23C24×D1111yescharacteristic
601D4—2216no—
602D4—2216no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—48no—
616C2×C4—48no—
617C2×C4—48no—
618C2×C4—44no—
619C2×C4—82no—
620C2×C4—82no—
621C2×C4—114no—
622C2×C4—118no—
623C2×C4—228no—
624C2×C4—222no—
625C2×C4—224no—
626C2×C4—222no—
627C2×C4—224no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—224no—
631C2×C4—224no—
632C2×C4—224no—
633C2×C4—224no—
634C2×C4—4416no—
635C2×C4—448no—
636C2×C4—448no—
637C2×C4—884no—
638C2×C4C22×C4×D1118yes—
639C2×C4#6703714yes—
640C22—24no—
641C22—24no—
642C22—24no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—416no—
653C22—224no—
654C22—228no—
655C22—444no—
656C22—442no—
657C22—442no—
658C22—888no—
659C22C2×#6694514yes—
660C22C2×#6694514yes—
661C22C2×#6694514yes—
662C22C23×C4×D1111yescharacteristic
663C22C22×#434111yescharacteristic
664C22C2×#6703712yes—
665C22C22×#434311yescharacteristic
666C22#1062345312yes—
667C4—24no—
668C4—28no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—224no—
673C4—228no—
674C4—444no—
675C4—444no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—444no—
680C2C22×#6694511yescharacteristic
681C2C4×#6703712yes—
682C2#1308230311yescharacteristic
683C2#1308231211yescharacteristic
684C2#1308245712yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#385C2
socle, cosocleC23×C11C25
prime radicalC23×C22⋊D11C22
hypercenterC2×#385D11
hypocenterC11#34251
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. #13071552C2semidirect
3. #13071541C2semidirect
4. #13071474C2semidirect
5. #13071463C2semidirect
6. #13071244C2semidirect
7. #13071230C2semidirect
9. #13071052C2semidirect
11. #13070969C2semidirect
12. C2×C4×C22⋊Dic11C2semidirect
13. C2×C11×#385C2semidirect
16. C22×C11×C4⋊C4C22semidirect
24. C22×C4×Dic11C22semidirect
25. C2×#66945C22semidirect
26. #10623017C4semidirect
31. C11×#385C22semidirect
32. C11×#385C22semidirect
33. C2×C11×#95C22semidirect
39. #10622825C22semidirect
41. C4×C22⋊Dic11C22semidirect
42. C4×C22⋊Dic11C22semidirect
43. C4×C22⋊Dic11C22semidirect
45. C2×C11⋊#95C22semidirect
46. #10622603C22semidirect
47. #10622603C22semidirect
48. #10622600C22semidirect
49. #10622591C22semidirect
50. #10622591C22semidirect
51. #10622590C22semidirect
52. C4⋊C4×Dic11C22semidirect
56. #10622563C22semidirect
59. C22⋊C4×Dic11C22semidirect
60. #10622283C22semidirect
61. #10622283C22semidirect
62. #10622279C22semidirect
63. #10622277C22semidirect
64. #10622268C22semidirect
65. #10622268C22semidirect
66. #10622264C22semidirect
67. #10622261C22semidirect
107. C4×C22⋊D11C2×C4semidirect
124. (C22⋊D11)⋊C4C2×C4semidirect
125. C22⋊C4×D11C2×C4semidirect
126. #66930C2×C4semidirect
202. C2×C4×D11C22×C4semidirect
219. (C2×D11)⋊C4C22×C4semidirect
222. Dic11⋊C4C22×C4semidirect
227. C4×Dic11C22×C4semidirect
238. C2×#385D11semidirect
251. C23×C11#117semidirect
318. C22×C4⋊C4C2×D11semidirect
344. #385C2×D11semidirect
345. #385C2×D11semidirect
364. C2×#95C2×D11semidirect
569. C11#34251semidirect
590. C23#66945semidirect

Maximal subgroups

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

subgroupindex
C2×#106230172
#130715522
#130715412
#130714742
#130714632
#130712442
#130712302
#130711912
#130710522
C2×#106228262
#130709692
C2×C4×C22⋊Dic112
C2×C11×#3852
#3425111