Finite Group Databasebeta

← #72248842

Subgroups — #72248842

Order 3520.

660 conjugacy classes of subgroups.

The subgroup lattice has 492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#4339⋊C5C211yesmaximal, characteristic, complemented
2C22×C4×AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
3C4×D4×C11⋊C5C211yesmaximal, characteristic, complemented
4#66990⋊C5C211yesmaximal, characteristic, complemented
5#66992⋊C5C211yesmaximal, characteristic, complemented
6C4×C22⋊AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
7C4×C22⋊AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
8#66947⋊C5C211yesmaximal, characteristic, complemented
9#66949⋊C5C211yesmaximal, characteristic, complemented
10#66937⋊C5C211yesmaximal, characteristic, complemented
11#66936⋊C5C211yesmaximal, characteristic, complemented
12#66935⋊C5C211yesmaximal, characteristic, complemented
13#66931⋊C5C211yesmaximal, characteristic, complemented
14C4×C4⋊AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
15#66925⋊C5C211yesmaximal, characteristic, complemented
16C23×AGL(1,𝔽11)C2211yescharacteristic
17C2×D4×C11⋊C5C2211yescharacteristic
18C22×C4×C11⋊C5C2211yescharacteristic
19C22×C4×C11⋊C5C2211yescharacteristic, complemented
20C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
21C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
22C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
23C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic, complemented
24C22×Dic11⋊C5C2211yescharacteristic
25#4339⋊C5—24no—
26C2×C4⋊AGL(1,𝔽11)C2211yescharacteristic
27C2×C4⋊AGL(1,𝔽11)C2211yescharacteristic
28C2×C4×AGL(1,𝔽11)—24no—
29C2×C4×AGL(1,𝔽11)C2211yescharacteristic
30C2×C4×AGL(1,𝔽11)C2211yescharacteristic
31C2×C4×AGL(1,𝔽11)C2211yescharacteristic
32C2×C4×AGL(1,𝔽11)C2211yescharacteristic
33C2×C4×AGL(1,𝔽11)C2211yescharacteristic, complemented
34C2×(C11⋊C5)⋊Q8C2211yescharacteristic, complemented
35C4⋊C4×C11⋊C5C2211yescharacteristic, complemented
36C22⋊C4×C11⋊C5C2211yescharacteristic
37C22⋊C4×C11⋊C5C2211yescharacteristic, complemented
38C42×C11⋊C5C2211yescharacteristic, complemented
39C22⋊(Dic11⋊C5)C2211yescharacteristic
40C22⋊(Dic11⋊C5)C2211yescharacteristic, complemented
41((C2×D11)⋊C4)⋊C5C2211yescharacteristic
42((C2×D11)⋊C4)⋊C5C2211yescharacteristic
43((C2×D11)⋊C4)⋊C5C2211yescharacteristic
44((C2×D11)⋊C4)⋊C5C2211yescharacteristic
45((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
46((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
47C4⋊(Dic11⋊C5)C2211yescharacteristic, complemented
48(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
49(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
50(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
51(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
52C4×Dic11⋊C5C2211yescharacteristic, complemented
53#10623078C511yesmaximal, characteristic, complemented, Hall
54C23×C11⋊C5C2311yescharacteristic
55C23×C11⋊C5C2311yescharacteristic
56C22×AGL(1,𝔽11)—22no—
57C22×AGL(1,𝔽11)—22no—
58C22×AGL(1,𝔽11)—22no—
59C22×AGL(1,𝔽11)C2311yescharacteristic
60C22×AGL(1,𝔽11)C2311yescharacteristic
61C22×AGL(1,𝔽11)C2311yescharacteristic
62D4×C11⋊C5—22no—
63C2×C4×C11⋊C5—22no—
64C2×C4×C11⋊C5—22no—
65C2×C4×C11⋊C5C2311yescharacteristic
66C2×C4×C11⋊C5C2311yescharacteristic
67C2×C4×C11⋊C5C2311yescharacteristic
68C2×C4×C11⋊C5C2311yescharacteristic
69C2×C4×C11⋊C5C2311yescharacteristic
70C22⋊AGL(1,𝔽11)—22no—
71C22⋊AGL(1,𝔽11)—22no—
72C22⋊AGL(1,𝔽11)—22no—
73C22⋊AGL(1,𝔽11)—22no—
74C2×Dic11⋊C5—22no—
75C2×Dic11⋊C5C2311yescharacteristic
76C2×Dic11⋊C5C2311yescharacteristic
77C2×Dic11⋊C5C2311yescharacteristic
78C2×Dic11⋊C5C2311yescharacteristic
79C2×Dic11⋊C5C2311yescharacteristic
80C4⋊AGL(1,𝔽11)—22no—
81C4⋊AGL(1,𝔽11)—22no—
82C4×AGL(1,𝔽11)—22no—
83C4×AGL(1,𝔽11)—22no—
84C4×AGL(1,𝔽11)—22no—
85C4×AGL(1,𝔽11)—22no—
86C4×AGL(1,𝔽11)D414yescomplemented
87(C11⋊C5)⋊Q8—22no—
88C2×#4339C2×C511yescharacteristic, complemented
89C22×C4×D11C2×C511yescharacteristic, complemented
90C4×D4×C11C2×C511yescharacteristic, complemented
91#66992C2×C511yescharacteristic, complemented
92#66990C2×C511yescharacteristic, complemented
93C4×C22⋊D11C2×C511yescharacteristic, complemented
94C4×C22⋊D11C2×C511yescharacteristic, complemented
95#66949C2×C511yescharacteristic, complemented
96#66947C2×C511yescharacteristic, complemented
97#66937C2×C511yescharacteristic, complemented
98#66936C2×C511yescharacteristic, complemented
99#66935C2×C511yescharacteristic, complemented
100#66931C2×C511yescharacteristic, complemented
101C4×D44C2×C511yescharacteristic, complemented
102#66925C2×C511yescharacteristic, complemented
103C5×#525—111nomaximal, Hall
104C22×C11⋊C5—21no—
105C22×C11⋊C5—21no—
106C22×C11⋊C5—21no—
107C22×C11⋊C5—21no—
108C22×C11⋊C5—21no—
109C22×C11⋊C5#4112yescomplemented
110C22×C11⋊C5C2411yescharacteristic
111C2×AGL(1,𝔽11)—28no—
112C2×AGL(1,𝔽11)—21no—
113C2×AGL(1,𝔽11)—21no—
114C2×AGL(1,𝔽11)—21no—
115C2×AGL(1,𝔽11)—21no—
116C2×AGL(1,𝔽11)—21no—
117C2×AGL(1,𝔽11)—21no—
118C2×AGL(1,𝔽11)—21no—
119C2×AGL(1,𝔽11)C2×D412yes—
120C2×AGL(1,𝔽11)#4112yescomplemented
121C4×C11⋊C5—21no—
122C4×C11⋊C5—21no—
123C4×C11⋊C5—21no—
124C4×C11⋊C5—21no—
125C4×C11⋊C5C2×D412yes—
126Dic11⋊C5—21no—
127Dic11⋊C5—21no—
128Dic11⋊C5—21no—
129Dic11⋊C5—21no—
130Dic11⋊C5C2×D412yes—
131C23×D11C22×C511yescharacteristic
132C2×D4×C11C22×C511yescharacteristic
133C22×C4×C11C22×C511yescharacteristic
134C22×C4×C11C22×C511yescharacteristic, complemented
135C2×C22⋊D11C22×C511yescharacteristic
136C2×C22⋊D11C22×C511yescharacteristic
137C2×C22⋊D11C22×C511yescharacteristic
138C2×C22⋊D11C22×C511yescharacteristic, complemented
139C22×Dic11C22×C511yescharacteristic
140#4339—24no—
141C2×D44C22×C511yescharacteristic
142C2×D44C22×C511yescharacteristic
143C2×C4×D11—24no—
144C2×C4×D11C22×C511yescharacteristic
145C2×C4×D11C22×C511yescharacteristic
146C2×C4×D11C22×C511yescharacteristic
147C2×C4×D11C22×C511yescharacteristic
148C2×C4×D11C22×C511yescharacteristic, complemented
149C2×Dic22C22×C511yescharacteristic, complemented
150C11×C4⋊C4C22×C511yescharacteristic, complemented
151C11×C22⋊C4C22×C511yescharacteristic
152C11×C22⋊C4C22×C511yescharacteristic, complemented
153C42×C11C22×C511yescharacteristic, complemented
154C22⋊Dic11C22×C511yescharacteristic
155C22⋊Dic11C22×C511yescharacteristic, complemented
156(C2×D11)⋊C4C22×C511yescharacteristic
157(C2×D11)⋊C4C22×C511yescharacteristic
158(C2×D11)⋊C4C22×C511yescharacteristic
159(C2×D11)⋊C4C22×C511yescharacteristic
160(C2×D11)⋊C4C22×C511yescharacteristic, complemented
161(C2×D11)⋊C4C22×C511yescharacteristic, complemented
162C4⋊Dic11C22×C511yescharacteristic, complemented
163Dic11⋊C4C22×C511yescharacteristic, complemented
164Dic11⋊C4C22×C511yescharacteristic, complemented
165Dic11⋊C4C22×C511yescharacteristic, complemented
166Dic11⋊C4C22×C511yescharacteristic, complemented
167C4×Dic11C22×C511yescharacteristic, complemented
168C2×C5×#41—111no—
169C23×C4×C5—111no—
170C5×#123—111no—
171C5×#123—111no—
172C5×C22⋊Q8—111no—
173C5×C22⋊Q8—111no—
174C5×#121—111no—
175C5×#121—111no—
176C5×#120—111no—
177C5×#120—111no—
178C4×C5×D4—111no—
179C4×C5×D4—111no—
180C4×C5×D4—111no—
181C4×C5×D4—221no—
182C5×#117—111no—
183C2×C11⋊C5—22no—
184C2×C11⋊C5—41no—
185C2×C11⋊C5C22×D411yescharacteristic
186C2×C11⋊C5C2×#4111yescharacteristic
187C2×C11⋊C5C2×#4111yescharacteristic
188AGL(1,𝔽11)—22no—
189AGL(1,𝔽11)—22no—
190AGL(1,𝔽11)—41no—
191C23×C11C23×C511yescharacteristic
192C23×C11C23×C511yescharacteristic
193C22×D11—22no—
194C22×D11—22no—
195C22×D11—22no—
196C22×D11C23×C511yescharacteristic
197C22×D11C23×C511yescharacteristic
198C22×D11C23×C511yescharacteristic
199D4×C11—22no—
200C2×C4×C11—22no—
201C2×C4×C11—22no—
202C2×C4×C11C23×C511yescharacteristic
203C2×C4×C11C23×C511yescharacteristic
204C2×C4×C11C23×C511yescharacteristic
205C2×C4×C11C23×C511yescharacteristic
206C2×C4×C11C23×C511yescharacteristic
207C22⋊D11—22no—
208C22⋊D11—22no—
209C22⋊D11—22no—
210C22⋊D11—22no—
211C2×Dic11—22no—
212C2×Dic11C23×C511yescharacteristic
213C2×Dic11C23×C511yescharacteristic
214C2×Dic11C23×C511yescharacteristic
215C2×Dic11C23×C511yescharacteristic
216C2×Dic11C23×C511yescharacteristic
217D44—22no—
218D44—22no—
219C4×D11—22no—
220C4×D11—22no—
221C4×D11—22no—
222C4×D11—22no—
223C4×D11C5×D414yescomplemented
224Dic22—22no—
225C24×C5—111no—
226C5×#41—224no—
227C2×C5×Q8—111no—
228C2×C5×D4—111no—
229C2×C5×D4—111no—
230C2×C5×D4—111no—
231C2×C5×D4—111no—
232C2×C5×D4—111no—
233C2×C5×D4—111no—
234C2×C5×D4—221no—
235C22×C4×C5—111no—
236C22×C4×C5—111no—
237C22×C4×C5—111no—
238C22×C4×C5—111no—
239C22×C4×C5—111no—
240C22×C4×C5—111no—
241C22×C4×C5—224no—
242C22×C4×C5—221no—
243C22×C4×C5—221no—
244C5×C4⋊C4—111no—
245C5×C4⋊C4—111no—
246C5×C4⋊C4—111no—
247C5×C4⋊C4—111no—
248C5×C4⋊C4—111no—
249C5×C4⋊C4—221no—
250C5×C22⋊C4—111no—
251C5×C22⋊C4—111no—
252C5×C22⋊C4—111no—
253C5×C22⋊C4—111no—
254C5×C22⋊C4—111no—
255C5×C22⋊C4—111no—
256C5×C22⋊C4—111no—
257C5×C22⋊C4—111no—
258C5×C22⋊C4—221no—
259C5×C22⋊C4—221no—
260C42×C5—111no—
261C42×C5—221no—
262#525—111noSylow
263C11⋊C5#52511yescharacteristic, complemented, Hall
264C22×C11—21no—
265C22×C11—21no—
266C22×C11—21no—
267C22×C11—21no—
268C22×C11—21no—
269C22×C11C5×#4112yescomplemented
270C22×C11C24×C511yescharacteristic
271C2×D11—28no—
272C2×D11—21no—
273C2×D11—21no—
274C2×D11—21no—
275C2×D11—21no—
276C2×D11—21no—
277C2×D11—21no—
278C2×D11—21no—
279C2×D11C2×C5×D412yes—
280C2×D11C5×#4112yescomplemented
281C4×C11—21no—
282C4×C11—21no—
283C4×C11—21no—
284C4×C11—21no—
285C4×C11C2×C5×D412yes—
286Dic11—21no—
287Dic11—21no—
288Dic11—21no—
289Dic11—21no—
290Dic11C2×C5×D412yes—
291C23×C5—111no—
292C23×C5—111no—
293C23×C5—111no—
294C23×C5—222no—
295C23×C5—222no—
296C23×C5—222no—
297C23×C5—221no—
298C23×C5—221no—
299C5×Q8—222no—
300C5×D4—222no—
301C5×D4—222no—
302C5×D4—222no—
303C5×D4—222no—
304C5×D4—222no—
305C5×D4—222no—
306C5×D4—222no—
307C2×C4×C5—111no—
308C2×C4×C5—114no—
309C2×C4×C5—111no—
310C2×C4×C5—111no—
311C2×C4×C5—111no—
312C2×C4×C5—111no—
313C2×C4×C5—222no—
314C2×C4×C5—222no—
315C2×C4×C5—222no—
316C2×C4×C5—222no—
317C2×C4×C5—222no—
318C2×C4×C5—221no—
319C2×C4×C5—221no—
320C2×C4×C5—221no—
321C2×C4×C5—221no—
322C2×C4×C5—221no—
323C2×C4×C5—442no—
324C2×C4×C5—442no—
325C2×#41—111no—
326C23×C4—111no—
327#123—111no—
328#123—111no—
329C22⋊Q8—111no—
330C22⋊Q8—111no—
331#121—111no—
332#121—111no—
333#120—111no—
334#120—111no—
335C4×D4—111no—
336C4×D4—111no—
337C4×D4—111no—
338C4×D4AGL(1,𝔽11)11yescharacteristic, complemented
339#117—111no—
340C2×C11—22no—
341C2×C11—41no—
342C2×C11C22×C5×D411yescharacteristic
343C2×C11C2×C5×#4111yescharacteristic
344C2×C11C2×C5×#4111yescharacteristic
345D11—22no—
346D11—22no—
347D11—41no—
348C22×C5—112no—
349C22×C5—112no—
350C22×C5—221no—
351C22×C5—221no—
352C22×C5—221no—
353C22×C5—221no—
354C22×C5—221no—
355C22×C5—228no—
356C22×C5—221no—
357C22×C5—221no—
358C22×C5—221no—
359C22×C5—222no—
360C22×C5—221no—
361C22×C5—441no—
362C22×C5—441no—
363C22×C5—441no—
364C22×C5—441no—
365C4×C5—112no—
366C4×C5—221no—
367C4×C5—221no—
368C4×C5—221no—
369C4×C5—221no—
370C4×C5—221no—
371C4×C5—222no—
372C4×C5—441no—
373C4×C5—441no—
374C4×C5—441no—
375C24—111no—
376#41—224no—
377C2×Q8—111no—
378C2×D4—111no—
379C2×D4—111no—
380C2×D4—111no—
381C2×D4—111no—
382C2×D4—111no—
383C2×D4—111no—
384C2×D4C2×AGL(1,𝔽11)11yescharacteristic
385C22×C4—111no—
386C22×C4—111no—
387C22×C4—111no—
388C22×C4—111no—
389C22×C4—111no—
390C22×C4—111no—
391C22×C4—224no—
392C22×C4C2×AGL(1,𝔽11)11yescharacteristic
393C22×C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
394C4⋊C4—111no—
395C4⋊C4—111no—
396C4⋊C4—111no—
397C4⋊C4—111no—
398C4⋊C4—111no—
399C4⋊C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
400C22⋊C4—111no—
401C22⋊C4—111no—
402C22⋊C4—111no—
403C22⋊C4—111no—
404C22⋊C4—111no—
405C22⋊C4—111no—
406C22⋊C4—111no—
407C22⋊C4—111no—
408C22⋊C4C2×AGL(1,𝔽11)11yescharacteristic
409C22⋊C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
410C42—111no—
411C42C2×AGL(1,𝔽11)11yescharacteristic, complemented
412C11C5×#52511yescharacteristic, complemented, Sylow
413C2×C5—222no—
414C2×C5—222no—
415C2×C5—221no—
416C2×C5—221no—
417C2×C5—221no—
418C2×C5—442no—
419C2×C5—441no—
420C2×C5—441no—
421C23—111no—
422C23—111no—
423C23—111no—
424C23—222no—
425C23—222no—
426C23—222no—
427C23C22×AGL(1,𝔽11)11yescharacteristic
428C23C22×AGL(1,𝔽11)11yescharacteristic
429Q8—222no—
430D4—22no—
431D4—222no—
432D4—222no—
433D4—222no—
434D4—222no—
435D4—222no—
436D4—222no—
437C2×C4—22no—
438C2×C4—22no—
439C2×C4—111no—
440C2×C4—114no—
441C2×C4—111no—
442C2×C4—111no—
443C2×C4—111no—
444C2×C4—111no—
445C2×C4—222no—
446C2×C4—222no—
447C2×C4—222no—
448C2×C4—222no—
449C2×C4—222no—
450C2×C4C22×AGL(1,𝔽11)11yescharacteristic
451C2×C4C22×AGL(1,𝔽11)11yescharacteristic
452C2×C4C22×AGL(1,𝔽11)11yescharacteristic
453C2×C4C22×AGL(1,𝔽11)11yescharacteristic
454C2×C4C22×AGL(1,𝔽11)11yescharacteristic
455C5—221noSylow
456C22—21no—
457C22—21no—
458C22—21no—
459C22—21no—
460C22—21no—
461C22—112no—
462C22—112no—
463C22—228no—
464C22—221no—
465C22—221no—
466C22—221no—
467C22—221no—
468C22—221no—
469C22—221no—
470C22—221no—
471C22#4339⋊C512yescomplemented
472C22C23×AGL(1,𝔽11)11yescharacteristic
473C4—21no—
474C4—21no—
475C4—21no—
476C4—21no—
477C4—112no—
478C4—221no—
479C4—221no—
480C4—221no—
481C4—221no—
482C4D4×AGL(1,𝔽11)12yes—
483C2—22no—
484C2—41no—
485C2—222no—
486C2—222no—
487C2—441no—
488C2C2×#4339⋊C511yescharacteristic
489C2C2×D4×AGL(1,𝔽11)11yescharacteristic
490C2#41×AGL(1,𝔽11)11yescharacteristic
subgroupG/H
centerC2×C4C22×AGL(1,𝔽11)
commutator, socle, cosocleC22×C11C24×C5
FrattiniC22C23×AGL(1,𝔽11)
FittingC4×D4×C11C2×C5
hypercenterC4×D4AGL(1,𝔽11)
hypocenterC11C5×#525
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#4339⋊C5C2semidirect
2. C22×C4×AGL(1,𝔽11)C2semidirect
3. C4×D4×C11⋊C5C2semidirect
4. #66990⋊C5C2semidirect
5. #66992⋊C5C2semidirect
6. C4×C22⋊AGL(1,𝔽11)C2semidirect
7. C4×C22⋊AGL(1,𝔽11)C2semidirect
8. #66947⋊C5C2semidirect
9. #66949⋊C5C2semidirect
10. #66937⋊C5C2semidirect
11. #66936⋊C5C2semidirect
12. #66935⋊C5C2semidirect
13. #66931⋊C5C2semidirect
14. C4×C4⋊AGL(1,𝔽11)C2semidirect
15. #66925⋊C5C2semidirect
19. C22×C4×C11⋊C5C22semidirect
23. C2×C22⋊AGL(1,𝔽11)C22semidirect
33. C2×C4×AGL(1,𝔽11)C22semidirect
34. C2×(C11⋊C5)⋊Q8C22semidirect
35. C4⋊C4×C11⋊C5C22semidirect
37. C22⋊C4×C11⋊C5C22semidirect
38. C42×C11⋊C5C22semidirect
40. C22⋊(Dic11⋊C5)C22semidirect
45. ((C2×D11)⋊C4)⋊C5C22semidirect
46. ((C2×D11)⋊C4)⋊C5C22semidirect
47. C4⋊(Dic11⋊C5)C22semidirect
48. (Dic11⋊C4)⋊C5C22semidirect
49. (Dic11⋊C4)⋊C5C22semidirect
50. (Dic11⋊C4)⋊C5C22semidirect
51. (Dic11⋊C4)⋊C5C22semidirect
52. C4×Dic11⋊C5C22semidirect
53. #10623078C5semidirect
86. C4×AGL(1,𝔽11)D4semidirect
88. C2×#4339C2×C5semidirect
89. C22×C4×D11C2×C5semidirect
90. C4×D4×C11C2×C5semidirect
91. #66992C2×C5semidirect
92. #66990C2×C5semidirect
93. C4×C22⋊D11C2×C5semidirect
94. C4×C22⋊D11C2×C5semidirect
95. #66949C2×C5semidirect
96. #66947C2×C5semidirect
97. #66937C2×C5semidirect
98. #66936C2×C5semidirect
99. #66935C2×C5semidirect
100. #66931C2×C5semidirect
101. C4×D44C2×C5semidirect
102. #66925C2×C5semidirect
109. C22×C11⋊C5#41semidirect
120. C2×AGL(1,𝔽11)#41semidirect
134. C22×C4×C11C22×C5semidirect
138. C2×C22⋊D11C22×C5semidirect
148. C2×C4×D11C22×C5semidirect
149. C2×Dic22C22×C5semidirect
150. C11×C4⋊C4C22×C5semidirect
152. C11×C22⋊C4C22×C5semidirect
153. C42×C11C22×C5semidirect
155. C22⋊Dic11C22×C5semidirect
160. (C2×D11)⋊C4C22×C5semidirect
161. (C2×D11)⋊C4C22×C5semidirect
162. C4⋊Dic11C22×C5semidirect
163. Dic11⋊C4C22×C5semidirect
164. Dic11⋊C4C22×C5semidirect
165. Dic11⋊C4C22×C5semidirect
166. Dic11⋊C4C22×C5semidirect
167. C4×Dic11C22×C5semidirect
223. C4×D11C5×D4semidirect
263. C11⋊C5#525semidirect
269. C22×C11C5×#41semidirect
280. C2×D11C5×#41semidirect
338. C4×D4AGL(1,𝔽11)semidirect
393. C22×C4C2×AGL(1,𝔽11)semidirect
399. C4⋊C4C2×AGL(1,𝔽11)semidirect
409. C22⋊C4C2×AGL(1,𝔽11)semidirect
411. C42C2×AGL(1,𝔽11)semidirect
412. C11C5×#525semidirect
471. C22#4339⋊C5semidirect

Maximal subgroups

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

subgroupindex
C2×#4339⋊C52
C22×C4×AGL(1,𝔽11)2
C4×D4×C11⋊C52
#66990⋊C52
#66992⋊C52
C4×C22⋊AGL(1,𝔽11)2
#66947⋊C52
#66949⋊C52
#66937⋊C52
#66936⋊C52
#66935⋊C52
#66931⋊C52
C4×C4⋊AGL(1,𝔽11)2
#66925⋊C52
#106230785
C5×#52511