Finite Group Databasebeta

← #14913858

Subgroups — #14913858

Order 2816.

3578 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623017C212yesmaximal
2C22×C4×C22⋊D11C211yesmaximal, characteristic
3#13071523C214yesmaximal, complemented
4#13071520C214yesmaximal, complemented
5C4⋊C4×C22⋊D11C214yesmaximal, complemented
6#13071512C214yesmaximal, complemented
7#13071233C212yesmaximal, complemented
8#13071229C212yesmaximal, complemented
9#13071228C212yesmaximal, complemented
10#13071018C212yesmaximal, complemented
11C2×#10622825C211yesmaximal, characteristic, complemented
12D11×#380C212yesmaximal, complemented
13C2×C11×#380C211yesmaximal, characteristic, complemented
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C22×C11×C4⋊C4C2212yescomplemented
18C22×C11×C22⋊C4C2212yes—
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2211yescharacteristic
21C2×C4×C22⋊D11C4116yescomplemented
22C2×C4×C22⋊D11C2218yes—
23C2×C4×C22⋊D11C2212yes—
24C2×C4×C22⋊D11C2212yes—
25C2×C4×C22⋊D11C2212yes—
26C2×C4×C22⋊D11C2212yes—
27C22×(C2×D11)⋊C4C2211yescharacteristic
28C22×C4⋊Dic11C2212yescomplemented
29C22×Dic11⋊C4C2211yescharacteristic
30C22×C4×Dic11C2211yescharacteristic
31C2×C4⋊C4×D11C2214yescomplemented
32#10623017—216no—
33C2×(C22⋊D11)⋊C4C2218yes—
34C2×C22⋊C4×D11C2214yes—
35C2×#66930C2214yes—
36C11×#380C2212yes—
37C11×#380C2212yes—
38C11×#380C2212yescomplemented
39C11×#380C2212yescomplemented
40C2×C11×#95C2212yescomplemented
41#10622825C2212yes—
42#10622825C2212yes—
43#10622825C2212yescomplemented
44#10622825C2212yescomplemented
45#10622823C2218yescomplemented
46C2×C11⋊#95C2212yescomplemented
47#10622602C2218yescomplemented
48#10622600C2214yescomplemented
49#10622589C2214yescomplemented
50C4⋊C4×Dic11C2214yescomplemented
51#10622585C2218yescomplemented
52#10622559C2218yescomplemented
53#10622555C2214yes—
54#10622555C2214yes—
55#10622281C2218yescomplemented
56#10622280C2214yescomplemented
57D11×#95C2214yescomplemented
58#10622263C2214yescomplemented
59#10622262C2214yescomplemented
60#10622260C2218yescomplemented
61C25×C11C2311yescharacteristic
62C24×D11C2311yescharacteristic
63C23×C4×C11—44no—
64C23×C4×C11C2×C418yescomplemented
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2314yes—
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C22×C22⋊D11C2×C418yes—
73C22×C22⋊D11D418yes—
74C22×C22⋊D11Q818yes—
75C22×C22⋊D11C2312yes—
76C22×C22⋊D11C2312yes—
77C23×Dic11C2314yes—
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C22×C4×D11—44no—
82C22×C4×D11C2×C418yescomplemented
83C22×C4×D11C2312yes—
84C22×C4×D11C2318yes—
85C22×C4×D11C2312yes—
86C2×C11×C4⋊C4—44no—
87C2×C11×C4⋊C4C2314yes—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C22⋊C4—28no—
90C2×C11×C22⋊C4C2314yes—
91C2×C11×C22⋊C4C2314yes—
92C2×C22⋊Dic11—28no—
93C2×C22⋊Dic11C2×C418yescomplemented
94C2×C22⋊Dic11C2314yes—
95C2×C22⋊Dic11C2314yes—
96C2×C22⋊Dic11C2312yes—
97C2×C22⋊Dic11C2312yes—
98C4×C22⋊D11—232no—
99C4×C22⋊D11C2×C4116yescomplemented
100C4×C22⋊D11C2×C4116yescomplemented
101C4×C22⋊D11C2×C4116yescomplemented
102C4×C22⋊D11C2×C4116yescomplemented
103C2×(C2×D11)⋊C4C2×C418yescomplemented
104C2×(C2×D11)⋊C4C2318yes—
105C2×(C2×D11)⋊C4C2312yes—
106C2×(C2×D11)⋊C4C2312yes—
107C2×C4⋊Dic11—44no—
108C2×C4⋊Dic11C2314yes—
109C2×C4⋊Dic11C2314yes—
110C2×Dic11⋊C4C2×C418yescomplemented
111C2×Dic11⋊C4C2318yes—
112C2×Dic11⋊C4C2318yes—
113C2×Dic11⋊C4C2318yes—
114C2×Dic11⋊C4C2312yes—
115C2×Dic11⋊C4C2312yes—
116C2×C4×Dic11C2×C418yescomplemented
117C2×C4×Dic11C2318yes—
118C2×C4×Dic11C2312yes—
119C2×C4×Dic11C2312yes—
120C4⋊C4×D11—48no—
121(C22⋊D11)⋊C4—232no—
122C22⋊C4×D11—216no—
123#66930—216no—
124C11×#95C2314yes—
125C11×#95C2314yes—
126C11⋊#95C2318yes—
127C11⋊#95C2314yes—
128C11⋊#95C2318yes—
129C11⋊#95C2314yes—
130#34181—111nomaximal, Sylow
131C24×C11—42no—
132C24×C11—42no—
133C24×C11C22×C414yes—
134C24×C11C2×D414yes—
135C24×C11C2×Q814yes—
136C24×C11C2411yescharacteristic
137C24×C11C2411yescharacteristic
138C24×C11C2411yescharacteristic
139C23×D11—42no—
140C23×D11—42no—
141C23×D11C22×C414yes—
142C23×D11C2×D414yes—
143C23×D11C2×Q814yes—
144C23×D11C2412yes—
145C22×C4×C11—24no—
146C22×C4×C11—24no—
147C22×C4×C11—24no—
148C22×C4×C11—28no—
149C22×C4×C11—416no—
150C22×C4×C11—42no—
151C22×C4×C11—42no—
152C22×C4×C11—42no—
153C22×C4×C11—44no—
154C22×C4×C11—44no—
155C22×C4×C11C22×C414yes—
156C22×C4×C11C22×C414yes—
157C22×C4×C11C22×C414yes—
158C22×C4×C11C22×C414yes—
159C22×C4×C11C22×C414yes—
160C22×C4×C11C22×C414yes—
161C22×C4×C11C2418yes—
162C22×C4×C11C2411yescharacteristic
163C22×C4×C11C2411yescharacteristic
164C22×C4×C11C2411yescharacteristic
165C22×C4×C11C2411yescharacteristic
166C2×C22⋊D11C4⋊C4164yescomplemented
167C2×C22⋊D11C22×C418yes—
168C2×C22⋊D11C22×C418yes—
169C2×C22⋊D11C2×D418yes—
170C2×C22⋊D11C2×D418yes—
171C2×C22⋊D11C2×Q818yes—
172C2×C22⋊D11C2×Q818yes—
173C22×Dic11—28no—
174C22×Dic11—42no—
175C22×Dic11—42no—
176C22×Dic11—44no—
177C22×Dic11—44no—
178C22×Dic11C22×C414yes—
179C22×Dic11C22×C414yes—
180C22×Dic11C22×C414yes—
181C22×Dic11C2×D414yes—
182C22×Dic11C2×Q814yes—
183C22×Dic11C2418yes—
184C22×Dic11C2412yes—
185C22×Dic11C2412yes—
186C22×Dic11C2412yes—
187C2×C4×D11—216no—
188C2×C4×D11—28no—
189C2×C4×D11—44no—
190C2×C4×D11—48no—
191C2×C4×D11—48no—
192C2×C4×D11—416no—
193C2×C4×D11C22×C418yes—
194C2×C4×D11C22×C418yes—
195C11×C4⋊C4—28no—
196C11×C4⋊C4—44no—
197C11×C22⋊C4—28no—
198C11×C22⋊C4—28no—
199C22⋊Dic11—28no—
200C22⋊Dic11—28no—
201C22⋊Dic11C22×C418yes—
202C22⋊Dic11C22×C418yes—
203(C2×D11)⋊C4—216no—
204(C2×D11)⋊C4C22×C418yes—
205(C2×D11)⋊C4C22×C418yes—
206C4⋊Dic11—28no—
207C4⋊Dic11—44no—
208Dic11⋊C4—216no—
209Dic11⋊C4—48no—
210Dic11⋊C4—48no—
211Dic11⋊C4C22×C418yes—
212Dic11⋊C4C22×C418yes—
213C4×Dic11—216no—
214C4×Dic11C22×C418yes—
215C4×Dic11C22×C418yes—
216C2×#518—112no—
217C22×C4×D4—111no—
218#2349—114no—
219#2349—114no—
220D4×C4⋊C4—114no—
221D4×C4⋊C4—114no—
222#2316—112no—
223#2315—112no—
224#2315—112no—
225#2285—112no—
226C2×#380—112no—
227C2×#380—111no—
228C2×#380D1111yescharacteristic, complemented
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—44no—
236C23×C11—44no—
237C23×C11—48no—
238C23×C11—48no—
239C23×C11C2×C4⋊C4116yescomplemented
240C23×C11C23×C412yes—
241C23×C11C23×C412yes—
242C23×C11C23×C412yes—
243C23×C11C22×D412yes—
244C23×C11C22×D412yes—
245C23×C11C22×D412yes—
246C23×C11C22×Q812yes—
247C23×C11C22×Q812yes—
248C23×C11C22×Q812yes—
249C23×C11C2511yescharacteristic
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—44no—
253C22×D11—44no—
254C22×D11—48no—
255C22×D11—48no—
256C22×D11C2×C4⋊C4116yescomplemented
257C22×D11C23×C414yes—
258C22×D11C22×D414yes—
259C22×D11C22×Q814yes—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—28no—
264C2×C4×C11—28no—
265C2×C4×C11—28no—
266C2×C4×C11—28no—
267C2×C4×C11—28no—
268C2×C4×C11—28no—
269C2×C4×C11—44no—
270C2×C4×C11—44no—
271C2×C4×C11—44no—
272C2×C4×C11—88no—
273C2×C4×C11C23×C412yes—
274C2×C4×C11C23×C412yes—
275C2×C4×C11C23×C412yes—
276C2×C4×C11C23×C412yes—
277C2×C4×C11H(5,𝔽2)14yes—
278C22⋊D11C2×C4⋊C4132yescomplemented
279C22⋊D11C2×C4⋊C4132yescomplemented
280C2×Dic11—24no—
281C2×Dic11—24no—
282C2×Dic11—28no—
283C2×Dic11—28no—
284C2×Dic11—28no—
285C2×Dic11—44no—
286C2×Dic11—44no—
287C2×Dic11—88no—
288C2×Dic11C2×C4⋊C4116yescomplemented
289C2×Dic11C23×C414yes—
290C2×Dic11C23×C414yes—
291C2×Dic11C23×C414yes—
292C2×Dic11C22×D414yes—
293C2×Dic11C22×Q814yes—
294C4×D11—216no—
295C4×D11—48no—
296C4×D11—816no—
297C23×D4—111no—
298C24×C4—111no—
299C24×C4C2×D1111yescharacteristic
300#518—2216no—
301C2×C4×D4—112no—
302C2×C4×D4—112no—
303C2×C4×D4—112no—
304C2×C4×D4—112no—
305C2×C4×D4—1116no—
306C2×C4×D4—118no—
307C2×C4×D4—118no—
308C2×#117—114no—
309C22×C4⋊C4—111no—
310C22×C4⋊C4—112no—
311C22×C4⋊C4—114no—
312C22×C4⋊C4C2×D1112yescomplemented
313C22×C22⋊C4—111no—
314C22×C22⋊C4—111no—
315C22×C22⋊C4—112no—
316C22×C22⋊C4—114no—
317C22×C22⋊C4C2×D1112yes—
318C22×C42—111no—
319#389—118no—
320#389—118no—
321#385—118no—
322#385—118no—
323#385—118no—
324#385—118no—
325#384—114no—
326#382—114no—
327#380—112no—
328#380—112no—
329#380—112no—
330#380—112no—
331#380—114no—
332#380—114no—
333#380—114no—
334#380—114no—
335#380C2×D1112yes—
336#380C2×D1112yes—
337#380C2×D1112yescomplemented
338#380C2×D1112yescomplemented
339C4×C4⋊C4—114no—
340C4×C4⋊C4—114no—
341C2×#95—112no—
342C2×#95—114no—
343C2×#95C2×D1112yescomplemented
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—22no—
350C22×C11—24no—
351C22×C11—24no—
352C22×C11—24no—
353C22×C11—24no—
354C22×C11—24no—
355C22×C11—24no—
356C22×C11—416no—
357C22×C11C22×C4⋊C414yes—
358C22×C11C22×C4⋊C414yes—
359C22×C11C22×C4⋊C414yes—
360C22×C11C24×C411yescharacteristic
361C22×C11C23×D411yescharacteristic
362C22×C11C23×Q811yescharacteristic
363C22×C11C2×H(5,𝔽2)12yes—
364C22×C11#58512yes—
365C2×D11—24no—
366C2×D11—24no—
367C2×D11—28no—
368C2×D11—28no—
369C2×D11—416no—
370C2×D11C22×C4⋊C418yes—
371C4×C11—22no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—48no—
375C4×C11#51814yescomplemented
376Dic11—24no—
377Dic11—24no—
378Dic11—48no—
379Dic11C22×C4⋊C418yes—
380C25—111no—
381C25C22×D1111yescharacteristic
382C22×D4—118no—
383C22×D4—118no—
384C22×D4—118no—
385C22×D4—112no—
386C22×D4—112no—
387C23×C4—44no—
388C23×C4—111no—
389C23×C4—111no—
390C23×C4—111no—
391C23×C4—112no—
392C23×C4—118no—
393C23×C4—112no—
394C23×C4—114no—
395C23×C4—118no—
396C23×C4—444no—
397C23×C4C4×D1118yescomplemented
398C23×C4C22×D1111yescharacteristic
399C23×C4C22×D1111yescharacteristic
400C23×C4C22×D1111yescharacteristic
401C23×C4C22×D1114yes—
402C23×C4C22×D1111yescharacteristic
403C23×C4C22×D1111yescharacteristic
404C23×C4C22×D1111yescharacteristic
405C4×D4—1116no—
406C4×D4—1116no—
407C4×D4—1116no—
408C4×D4—1116no—
409C4×D4—2232no—
410C4×D4—2232no—
411#117—2216no—
412C2×C4⋊C4—44no—
413C2×C4⋊C4—118no—
414C2×C4⋊C4—112no—
415C2×C4⋊C4—112no—
416C2×C4⋊C4—114no—
417C2×C4⋊C4—118no—
418C2×C4⋊C4—118no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—118no—
421C2×C4⋊C4—448no—
422C2×C4⋊C4—444no—
423C2×C4⋊C4C22×D1114yes—
424C2×C4⋊C4C22×D1114yes—
425C2×C22⋊C4—28no—
426C2×C22⋊C4—118no—
427C2×C22⋊C4—112no—
428C2×C22⋊C4—112no—
429C2×C22⋊C4—118no—
430C2×C22⋊C4—112no—
431C2×C22⋊C4—112no—
432C2×C22⋊C4—114no—
433C2×C22⋊C4—114no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—2216no—
436C2×C22⋊C4—228no—
437C2×C22⋊C4C22×D1114yes—
438C2×C22⋊C4C22×D1114yes—
439C2×C42—118no—
440C2×C42—112no—
441C2×C42—112no—
442C2×C42—118no—
443#95—114no—
444#95—118no—
445#95—114no—
446#95—118no—
447#95C22×D1114yes—
448#95C22×D1114yes—
449C2×C11—24no—
450C2×C11—24no—
451C2×C11—24no—
452C2×C11C23×C4⋊C411yescharacteristic
453C2×C11C2×#51811yescharacteristic
454C2×C11#342811yescharacteristic
455C2×C11#349612yes—
456C2×C11#350112yes—
457D11—28no—
458C24—42no—
459C24—42no—
460C24—112no—
461C24—114no—
462C24—114no—
463C24—114no—
464C24—442no—
465C24—442no—
466C24C2×C4×D1114yes—
467C24D4×D1114yes—
468C24Q8×D1114yes—
469C24C23×D1111yescharacteristic
470C24C23×D1111yescharacteristic
471C24C23×D1111yescharacteristic
472C2×D4—1164no—
473C2×D4—118no—
474C2×D4—118no—
475C2×D4—118no—
476C2×D4—118no—
477C2×D4—118no—
478C2×D4—118no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—28no—
483C22×C4—416no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—114no—
490C22×C4—114no—
491C22×C4—114no—
492C22×C4—112no—
493C22×C4—112no—
494C22×C4—112no—
495C22×C4—114no—
496C22×C4—114no—
497C22×C4—118no—
498C22×C4—118no—
499C22×C4—118no—
500C22×C4—2216no—
501C22×C4—228no—
502C22×C4—228no—
503C22×C4—4416no—
504C22×C4—444no—
505C22×C4—448no—
506C22×C4—448no—
507C22×C4—442no—
508C22×C4—442no—
509C22×C4—444no—
510C22×C4—444no—
511C22×C4C2×C4×D1114yes—
512C22×C4C2×C4×D1114yes—
513C22×C4C2×C4×D1114yes—
514C22×C4C2×C4×D1114yes—
515C22×C4C2×C4×D1114yes—
516C22×C4C2×C4×D1114yes—
517C22×C4C23×D1118yes—
518C22×C4C23×D1111yescharacteristic
519C22×C4C23×D1111yescharacteristic
520C22×C4C23×D1111yescharacteristic
521C22×C4C23×D1111yescharacteristic
522C4⋊C4—28no—
523C4⋊C4—44no—
524C4⋊C4—118no—
525C4⋊C4—118no—
526C4⋊C4—2216no—
527C4⋊C4—228no—
528C4⋊C4—448no—
529C4⋊C4—444no—
530C4⋊C4—448no—
531C22⋊C4—28no—
532C22⋊C4—28no—
533C22⋊C4—118no—
534C22⋊C4—118no—
535C22⋊C4—118no—
536C22⋊C4—118no—
537C22⋊C4—2216no—
538C22⋊C4—228no—
539C22⋊C4—228no—
540C42—118no—
541C42—118no—
542C42—2216no—
543C11#3418111yescharacteristic, complemented, Sylow
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—44no—
551C23—44no—
552C23—48no—
553C23—48no—
554C23—114no—
555C23—114no—
556C23—114no—
557C23—1116no—
558C23—224no—
559C23—224no—
560C23—444no—
561C23—448no—
562C23—448no—
563C23—444no—
564C23C4⋊C4×D11116yescomplemented
565C23C22×C4×D1112yes—
566C23C22×C4×D1112yes—
567C23C22×C4×D1112yes—
568C23C2×D4×D1112yes—
569C23C2×D4×D1112yes—
570C23C2×D4×D1112yes—
571C23C2×Q8×D1112yes—
572C23C2×Q8×D1112yes—
573C23C2×Q8×D1112yes—
574C23C24×D1111yescharacteristic
575D4—1132no—
576D4—1132no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—28no—
581C2×C4—28no—
582C2×C4—28no—
583C2×C4—28no—
584C2×C4—28no—
585C2×C4—28no—
586C2×C4—44no—
587C2×C4—44no—
588C2×C4—44no—
589C2×C4—88no—
590C2×C4—1116no—
591C2×C4—114no—
592C2×C4—114no—
593C2×C4—114no—
594C2×C4—114no—
595C2×C4—114no—
596C2×C4—224no—
597C2×C4—224no—
598C2×C4—2216no—
599C2×C4—228no—
600C2×C4—228no—
601C2×C4—228no—
602C2×C4—448no—
603C2×C4—444no—
604C2×C4—444no—
605C2×C4—8816no—
606C2×C4—888no—
607C2×C4C22×C4×D1112yes—
608C2×C4C22×C4×D1112yes—
609C2×C4C22×C4×D1112yes—
610C2×C4C22×C4×D1112yes—
611C2×C4#6703714yes—
612C22—24no—
613C22—24no—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—416no—
625C22—118no—
626C22—228no—
627C22—228no—
628C22—224no—
629C22—224no—
630C22—4416no—
631C22C2×C4⋊C4×D1114yes—
632C22C2×C4⋊C4×D1114yes—
633C22C2×C4⋊C4×D1114yes—
634C22C23×C4×D1111yescharacteristic
635C22C22×D4×D1111yescharacteristic
636C22C2×#6703712yes—
637C22C22×Q8×D1111yescharacteristic
638C22#1062345312yes—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—48no—
643C4—118no—
644C4—224no—
645C4—224no—
646C4—448no—
647C4#1062301714yescomplemented
648C2—24no—
649C2—24no—
650C2—24no—
651C2—228no—
652C2C22×C4⋊C4×D1111yescharacteristic
653C2C2×#1062301711yescharacteristic
654C2#1308181711yescharacteristic
655C2#1308237312yes—
656C2#1308241212yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#380C2
socle, cosocleC23×C11C25
prime radicalC23×C22⋊D11C22
hypercenterC2×#380D11
hypocenterC11#34181
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
3. #13071523C2semidirect
4. #13071520C2semidirect
5. C4⋊C4×C22⋊D11C2semidirect
6. #13071512C2semidirect
7. #13071233C2semidirect
8. #13071229C2semidirect
9. #13071228C2semidirect
10. #13071018C2semidirect
11. C2×#10622825C2semidirect
12. D11×#380C2semidirect
13. C2×C11×#380C2semidirect
17. C22×C11×C4⋊C4C22semidirect
21. C2×C4×C22⋊D11C4semidirect
28. C22×C4⋊Dic11C22semidirect
31. C2×C4⋊C4×D11C22semidirect
38. C11×#380C22semidirect
39. C11×#380C22semidirect
40. C2×C11×#95C22semidirect
43. #10622825C22semidirect
44. #10622825C22semidirect
45. #10622823C22semidirect
46. C2×C11⋊#95C22semidirect
47. #10622602C22semidirect
48. #10622600C22semidirect
49. #10622589C22semidirect
50. C4⋊C4×Dic11C22semidirect
51. #10622585C22semidirect
52. #10622559C22semidirect
55. #10622281C22semidirect
56. #10622280C22semidirect
57. D11×#95C22semidirect
58. #10622263C22semidirect
59. #10622262C22semidirect
60. #10622260C22semidirect
64. C23×C4×C11C2×C4semidirect
82. C22×C4×D11C2×C4semidirect
93. C2×C22⋊Dic11C2×C4semidirect
99. C4×C22⋊D11C2×C4semidirect
100. C4×C22⋊D11C2×C4semidirect
101. C4×C22⋊D11C2×C4semidirect
102. C4×C22⋊D11C2×C4semidirect
103. C2×(C2×D11)⋊C4C2×C4semidirect
110. C2×Dic11⋊C4C2×C4semidirect
116. C2×C4×Dic11C2×C4semidirect
166. C2×C22⋊D11C4⋊C4semidirect
228. C2×#380D11semidirect
239. C23×C11C2×C4⋊C4semidirect
256. C22×D11C2×C4⋊C4semidirect
278. C22⋊D11C2×C4⋊C4semidirect
279. C22⋊D11C2×C4⋊C4semidirect
288. C2×Dic11C2×C4⋊C4semidirect
312. C22×C4⋊C4C2×D11semidirect
337. #380C2×D11semidirect
338. #380C2×D11semidirect
343. C2×#95C2×D11semidirect
375. C4×C11#518semidirect
397. C23×C4C4×D11semidirect
543. C11#34181semidirect
564. C23C4⋊C4×D11semidirect
647. C4#10623017semidirect

Maximal subgroups

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

subgroupindex
C2×#106230172
C22×C4×C22⋊D112
#130715232
#130715202
C4⋊C4×C22⋊D112
#130715122
#130712332
#130712292
#130712282
#130710182
C2×#106228252
D11×#3802
C2×C11×#3802
#3418111