Finite Group Databasebeta

← #72269525

Subgroups — #72269525

Order 3520.

668 conjugacy classes of subgroups.

The subgroup lattice has 520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
2C2×#4341⋊C5C211yesmaximal, characteristic, complemented
3#120×C11⋊C5C211yesmaximal, characteristic, complemented
4C2×C22⋊(Dic11⋊C5)C211yesmaximal, characteristic, complemented
5#66991⋊C5C211yesmaximal, characteristic, complemented
6#66990⋊C5C211yesmaximal, characteristic, complemented
7#66992⋊C5C211yesmaximal, characteristic, complemented
8#66992⋊C5C211yesmaximal, characteristic, complemented
9D4×Dic11⋊C5C211yesmaximal, characteristic, complemented
10#66939⋊C5C211yesmaximal, characteristic, complemented
11#66936⋊C5C211yesmaximal, characteristic, complemented
12((C22⋊D11)⋊C4)⋊C5C211yesmaximal, characteristic, complemented
13C22⋊C4×AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
14#66938⋊C5C211yesmaximal, characteristic, complemented
15#66931⋊C5C211yesmaximal, characteristic, complemented
16C24×C11⋊C5C2211yescharacteristic
17C23×AGL(1,𝔽11)C2211yescharacteristic
18C2×D4×C11⋊C5C2211yescharacteristic
19C2×D4×C11⋊C5C2211yescharacteristic, complemented
20C2×D4×C11⋊C5C2211yescharacteristic, complemented
21C2×C22⋊AGL(1,𝔽11)—24no—
22C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
23C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
24C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
25C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
26C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic, complemented
27C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic, complemented
28C22×Dic11⋊C5C2211yescharacteristic
29C22×Dic11⋊C5C2211yescharacteristic, complemented
30C22×Dic11⋊C5C2211yescharacteristic, complemented
31C22×Dic11⋊C5C2211yescharacteristic, complemented
32#4341⋊C5—24no—
33C2×C4×AGL(1,𝔽11)C2211yescharacteristic, complemented
34C2×C4×AGL(1,𝔽11)C2211yescharacteristic, complemented
35C2×(C11⋊C5)⋊Q8C2211yescharacteristic, complemented
36C22⋊C4×C11⋊C5C2211yescharacteristic
37C22⋊C4×C11⋊C5C2211yescharacteristic, complemented
38C22⋊C4×C11⋊C5C2211yescharacteristic, complemented
39C22⋊(Dic11⋊C5)C2211yescharacteristic
40C22⋊(Dic11⋊C5)C2211yescharacteristic
41C22⋊(Dic11⋊C5)C2211yescharacteristic, complemented
42C22⋊(Dic11⋊C5)C2211yescharacteristic, complemented
43C22⋊(Dic11⋊C5)C2211yescharacteristic, complemented
44((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
45((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
46((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
47((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
48C4⋊(Dic11⋊C5)C2211yescharacteristic, complemented
49C4⋊(Dic11⋊C5)C2211yescharacteristic, complemented
50(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
51(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
52C4×Dic11⋊C5C2211yescharacteristic, complemented
53#10623122C511yesmaximal, characteristic, complemented, Hall
54C23×C11⋊C5—22no—
55C23×C11⋊C5—22no—
56C23×C11⋊C5—41no—
57C23×C11⋊C5C2311yescharacteristic
58C23×C11⋊C5C2311yescharacteristic
59C23×C11⋊C5C2311yescharacteristic
60C23×C11⋊C5C2311yescharacteristic
61C22×AGL(1,𝔽11)—22no—
62C22×AGL(1,𝔽11)—22no—
63C22×AGL(1,𝔽11)—41no—
64C22×AGL(1,𝔽11)C2311yescharacteristic
65C22×AGL(1,𝔽11)C2311yescharacteristic
66D4×C11⋊C5—22no—
67D4×C11⋊C5—22no—
68D4×C11⋊C5—41no—
69C2×C4×C11⋊C5C2311yescharacteristic
70C2×C4×C11⋊C5C2311yescharacteristic
71C2×C4×C11⋊C5C2311yescharacteristic
72C22⋊AGL(1,𝔽11)—22no—
73C22⋊AGL(1,𝔽11)—22no—
74C22⋊AGL(1,𝔽11)—22no—
75C22⋊AGL(1,𝔽11)—22no—
76C22⋊AGL(1,𝔽11)—41no—
77C22⋊AGL(1,𝔽11)D414yescomplemented
78C2×Dic11⋊C5—22no—
79C2×Dic11⋊C5—22no—
80C2×Dic11⋊C5—22no—
81C2×Dic11⋊C5—41no—
82C2×Dic11⋊C5C2311yescharacteristic
83C2×Dic11⋊C5C2311yescharacteristic
84C2×Dic11⋊C5C2311yescharacteristic
85C2×Dic11⋊C5C2311yescharacteristic
86C2×Dic11⋊C5C2311yescharacteristic
87C2×Dic11⋊C5C2311yescharacteristic
88C4×AGL(1,𝔽11)—22no—
89C4×AGL(1,𝔽11)—41no—
90(C11⋊C5)⋊Q8—22no—
91C22×C22⋊D11C2×C511yescharacteristic, complemented
92C2×#4341C2×C511yescharacteristic, complemented
93C11×#120C2×C511yescharacteristic, complemented
94C2×C22⋊Dic11C2×C511yescharacteristic, complemented
95#66992C2×C511yescharacteristic, complemented
96#66992C2×C511yescharacteristic, complemented
97#66991C2×C511yescharacteristic, complemented
98#66990C2×C511yescharacteristic, complemented
99D4×Dic11C2×C511yescharacteristic, complemented
100#66939C2×C511yescharacteristic, complemented
101#66938C2×C511yescharacteristic, complemented
102#66936C2×C511yescharacteristic, complemented
103(C22⋊D11)⋊C4C2×C511yescharacteristic, complemented
104C22⋊C4×D11C2×C511yescharacteristic, complemented
105#66931C2×C511yescharacteristic, complemented
106C5×#546—111nomaximal, Hall
107C22×C11⋊C5—21no—
108C22×C11⋊C5—21no—
109C22×C11⋊C5—21no—
110C22×C11⋊C5—21no—
111C22×C11⋊C5—21no—
112C22×C11⋊C5—21no—
113C22×C11⋊C5—21no—
114C22×C11⋊C5—21no—
115C22×C11⋊C5—21no—
116C22×C11⋊C5—21no—
117C22×C11⋊C5—44no—
118C22×C11⋊C5C2×D412yes—
119C22×C11⋊C5#4112yescomplemented
120C22×C11⋊C5C2411yescharacteristic
121C2×AGL(1,𝔽11)—21no—
122C2×AGL(1,𝔽11)—21no—
123C2×AGL(1,𝔽11)—21no—
124C2×AGL(1,𝔽11)—21no—
125C2×AGL(1,𝔽11)—21no—
126C2×AGL(1,𝔽11)—44no—
127C2×AGL(1,𝔽11)C2×D412yes—
128C4×C11⋊C5—21no—
129C4×C11⋊C5—21no—
130C4×C11⋊C5—21no—
131Dic11⋊C5—21no—
132Dic11⋊C5—21no—
133Dic11⋊C5—21no—
134Dic11⋊C5—21no—
135Dic11⋊C5—21no—
136Dic11⋊C5C2×D412yes—
137C24×C11C22×C511yescharacteristic
138C23×D11C22×C511yescharacteristic
139C2×D4×C11C22×C511yescharacteristic
140C2×D4×C11C22×C511yescharacteristic, complemented
141C2×D4×C11C22×C511yescharacteristic, complemented
142C2×C22⋊D11—24no—
143C2×C22⋊D11C22×C511yescharacteristic
144C2×C22⋊D11C22×C511yescharacteristic
145C2×C22⋊D11C22×C511yescharacteristic
146C2×C22⋊D11C22×C511yescharacteristic
147C2×C22⋊D11C22×C511yescharacteristic, complemented
148C2×C22⋊D11C22×C511yescharacteristic, complemented
149C22×Dic11C22×C511yescharacteristic
150C22×Dic11C22×C511yescharacteristic, complemented
151C22×Dic11C22×C511yescharacteristic, complemented
152C22×Dic11C22×C511yescharacteristic, complemented
153#4341—24no—
154C2×C4×D11C22×C511yescharacteristic, complemented
155C2×C4×D11C22×C511yescharacteristic, complemented
156C2×Dic22C22×C511yescharacteristic, complemented
157C11×C22⋊C4C22×C511yescharacteristic
158C11×C22⋊C4C22×C511yescharacteristic, complemented
159C11×C22⋊C4C22×C511yescharacteristic, complemented
160C22⋊Dic11C22×C511yescharacteristic
161C22⋊Dic11C22×C511yescharacteristic
162C22⋊Dic11C22×C511yescharacteristic, complemented
163C22⋊Dic11C22×C511yescharacteristic, complemented
164C22⋊Dic11C22×C511yescharacteristic, complemented
165(C2×D11)⋊C4C22×C511yescharacteristic, complemented
166(C2×D11)⋊C4C22×C511yescharacteristic, complemented
167(C2×D11)⋊C4C22×C511yescharacteristic, complemented
168(C2×D11)⋊C4C22×C511yescharacteristic, complemented
169C4⋊Dic11C22×C511yescharacteristic, complemented
170C4⋊Dic11C22×C511yescharacteristic, complemented
171Dic11⋊C4C22×C511yescharacteristic, complemented
172Dic11⋊C4C22×C511yescharacteristic, complemented
173C4×Dic11C22×C511yescharacteristic, complemented
174C2×C5×#41—111no—
175C22×C5×D4—111no—
176C5×#124—111no—
177C5×#123—111no—
178C5×#123—111no—
179C5×C22⋊Q8—111no—
180C5×#121—111no—
181C5×#121—111no—
182C5×#121—111no—
183C5×#120—111no—
184C5×#120—111no—
185C4×C5×D4—111no—
186C4×C5×D4—111no—
187C2×C5×C22⋊C4—111no—
188C2×C5×C22⋊C4—111no—
189C2×C11⋊C5—22no—
190C2×C11⋊C5—22no—
191C2×C11⋊C5—41no—
192C2×C11⋊C5—41no—
193C2×C11⋊C5C22×D411yescharacteristic
194C2×C11⋊C5C2×#4111yescharacteristic
195C2×C11⋊C5H(5,𝔽2)11yescharacteristic
196AGL(1,𝔽11)—22no—
197AGL(1,𝔽11)—41no—
198C23×C11—22no—
199C23×C11—22no—
200C23×C11—41no—
201C23×C11C23×C511yescharacteristic
202C23×C11C23×C511yescharacteristic
203C23×C11C23×C511yescharacteristic
204C23×C11C23×C511yescharacteristic
205C22×D11—22no—
206C22×D11—22no—
207C22×D11—41no—
208C22×D11C23×C511yescharacteristic
209C22×D11C23×C511yescharacteristic
210D4×C11—22no—
211D4×C11—22no—
212D4×C11—41no—
213C2×C4×C11C23×C511yescharacteristic
214C2×C4×C11C23×C511yescharacteristic
215C2×C4×C11C23×C511yescharacteristic
216C22⋊D11—22no—
217C22⋊D11—22no—
218C22⋊D11—22no—
219C22⋊D11—22no—
220C22⋊D11—41no—
221C22⋊D11C5×D414yescomplemented
222C2×Dic11—22no—
223C2×Dic11—22no—
224C2×Dic11—22no—
225C2×Dic11—41no—
226C2×Dic11C23×C511yescharacteristic
227C2×Dic11C23×C511yescharacteristic
228C2×Dic11C23×C511yescharacteristic
229C2×Dic11C23×C511yescharacteristic
230C2×Dic11C23×C511yescharacteristic
231C2×Dic11C23×C511yescharacteristic
232C4×D11—22no—
233C4×D11—41no—
234Dic22—22no—
235C24×C5—111no—
236C24×C5—111no—
237C5×#41—224no—
238C2×C5×Q8—111no—
239C2×C5×D4—111no—
240C2×C5×D4—111no—
241C2×C5×D4—111no—
242C2×C5×D4—111no—
243C2×C5×D4—111no—
244C2×C5×D4—111no—
245C2×C5×D4—111no—
246C2×C5×D4—111no—
247C2×C5×D4—111no—
248C2×C5×D4—224no—
249C22×C4×C5—111no—
250C22×C4×C5—111no—
251C22×C4×C5—111no—
252C22×C4×C5—111no—
253C22×C4×C5—111no—
254C22×C4×C5—111no—
255C5×C4⋊C4—111no—
256C5×C4⋊C4—111no—
257C5×C4⋊C4—111no—
258C5×C4⋊C4—111no—
259C5×C22⋊C4—111no—
260C5×C22⋊C4—111no—
261C5×C22⋊C4—111no—
262C5×C22⋊C4—111no—
263C5×C22⋊C4—111no—
264C5×C22⋊C4—111no—
265C5×C22⋊C4—111no—
266C5×C22⋊C4—111no—
267C5×C22⋊C4—111no—
268C5×C22⋊C4—111no—
269C5×C22⋊C4—111no—
270C5×C22⋊C4—111no—
271C42×C5—111no—
272#546—111noSylow
273C11⋊C5#54611yescharacteristic, complemented, Hall
274C22×C11—21no—
275C22×C11—21no—
276C22×C11—21no—
277C22×C11—21no—
278C22×C11—21no—
279C22×C11—21no—
280C22×C11—21no—
281C22×C11—21no—
282C22×C11—21no—
283C22×C11—21no—
284C22×C11—44no—
285C22×C11C2×C5×D412yes—
286C22×C11C5×#4112yescomplemented
287C22×C11C24×C511yescharacteristic
288C2×D11—21no—
289C2×D11—21no—
290C2×D11—21no—
291C2×D11—21no—
292C2×D11—21no—
293C2×D11—44no—
294C2×D11C2×C5×D412yes—
295C4×C11—21no—
296C4×C11—21no—
297C4×C11—21no—
298Dic11—21no—
299Dic11—21no—
300Dic11—21no—
301Dic11—21no—
302Dic11—21no—
303Dic11C2×C5×D412yes—
304C23×C5—111no—
305C23×C5—111no—
306C23×C5—111no—
307C23×C5—111no—
308C23×C5—111no—
309C23×C5—111no—
310C23×C5—222no—
311C23×C5—222no—
312C23×C5—222no—
313C23×C5—222no—
314C23×C5—441no—
315C23×C5—441no—
316C5×Q8—222no—
317C5×D4—114no—
318C5×D4—222no—
319C5×D4—222no—
320C5×D4—222no—
321C5×D4—222no—
322C5×D4—222no—
323C5×D4—222no—
324C5×D4—441no—
325C5×D4—441no—
326C2×C4×C5—111no—
327C2×C4×C5—111no—
328C2×C4×C5—111no—
329C2×C4×C5—111no—
330C2×C4×C5—111no—
331C2×C4×C5—111no—
332C2×C4×C5—111no—
333C2×C4×C5—111no—
334C2×C4×C5—111no—
335C2×C4×C5—222no—
336C2×C4×C5—222no—
337C2×C4×C5—222no—
338C2×C4×C5—222no—
339C2×C4×C5—441no—
340C2×C4×C5—441no—
341C2×#41—111no—
342C22×D4—111no—
343#124—111no—
344#123—111no—
345#123—111no—
346C22⋊Q8—111no—
347#121—111no—
348#121—111no—
349#121—111no—
350#120—111no—
351#120AGL(1,𝔽11)11yescharacteristic, complemented
352C4×D4—111no—
353C4×D4—111no—
354C2×C22⋊C4—111no—
355C2×C22⋊C4—111no—
356C2×C11—22no—
357C2×C11—22no—
358C2×C11—41no—
359C2×C11—41no—
360C2×C11C22×C5×D411yescharacteristic
361C2×C11C2×C5×#4111yescharacteristic
362C2×C11C5×H(5,𝔽2)11yescharacteristic
363D11—22no—
364D11—41no—
365C22×C5—112no—
366C22×C5—112no—
367C22×C5—112no—
368C22×C5—111no—
369C22×C5—221no—
370C22×C5—221no—
371C22×C5—221no—
372C22×C5—221no—
373C22×C5—221no—
374C22×C5—221no—
375C22×C5—221no—
376C22×C5—221no—
377C22×C5—221no—
378C22×C5—221no—
379C22×C5—221no—
380C22×C5—221no—
381C22×C5—221no—
382C22×C5—221no—
383C22×C5—221no—
384C22×C5—444no—
385C22×C5—444no—
386C4×C5—112no—
387C4×C5—221no—
388C4×C5—221no—
389C4×C5—221no—
390C4×C5—221no—
391C4×C5—221no—
392C4×C5—221no—
393C4×C5—221no—
394C4×C5—221no—
395C24—111no—
396C24C2×AGL(1,𝔽11)11yescharacteristic
397#41—224no—
398C2×Q8—111no—
399C2×D4—111no—
400C2×D4—111no—
401C2×D4—111no—
402C2×D4—111no—
403C2×D4—111no—
404C2×D4—111no—
405C2×D4—224no—
406C2×D4C2×AGL(1,𝔽11)11yescharacteristic
407C2×D4C2×AGL(1,𝔽11)11yescharacteristic, complemented
408C2×D4C2×AGL(1,𝔽11)11yescharacteristic, complemented
409C22×C4—111no—
410C22×C4—111no—
411C22×C4—111no—
412C22×C4—111no—
413C22×C4—111no—
414C22×C4—111no—
415C4⋊C4—111no—
416C4⋊C4—111no—
417C4⋊C4—111no—
418C4⋊C4—111no—
419C22⋊C4—111no—
420C22⋊C4—111no—
421C22⋊C4—111no—
422C22⋊C4—111no—
423C22⋊C4—111no—
424C22⋊C4—111no—
425C22⋊C4—111no—
426C22⋊C4—111no—
427C22⋊C4—111no—
428C22⋊C4C2×AGL(1,𝔽11)11yescharacteristic
429C22⋊C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
430C22⋊C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
431C42—111no—
432C11C5×#54611yescharacteristic, complemented, Sylow
433C2×C5—111no—
434C2×C5—111no—
435C2×C5—111no—
436C2×C5—222no—
437C2×C5—222no—
438C2×C5—222no—
439C2×C5—441no—
440C2×C5—441no—
441C2×C5—441no—
442C23—22no—
443C23—22no—
444C23—41no—
445C23—111no—
446C23—111no—
447C23—222no—
448C23—222no—
449C23—441no—
450C23C22×AGL(1,𝔽11)11yescharacteristic
451C23C22×AGL(1,𝔽11)11yescharacteristic
452C23C22×AGL(1,𝔽11)11yescharacteristic
453C23C22×AGL(1,𝔽11)11yescharacteristic
454Q8—222no—
455D4—22no—
456D4—22no—
457D4—41no—
458D4—114no—
459D4—222no—
460D4—222no—
461D4—222no—
462D4—222no—
463D4—441no—
464C2×C4—111no—
465C2×C4—111no—
466C2×C4—111no—
467C2×C4—111no—
468C2×C4—111no—
469C2×C4—111no—
470C2×C4—222no—
471C2×C4—222no—
472C2×C4—222no—
473C2×C4—222no—
474C2×C4—441no—
475C2×C4—441no—
476C2×C4C22×AGL(1,𝔽11)11yescharacteristic
477C2×C4C22×AGL(1,𝔽11)11yescharacteristic
478C2×C4C22×AGL(1,𝔽11)11yescharacteristic
479C5—111noSylow
480C22—21no—
481C22—21no—
482C22—21no—
483C22—21no—
484C22—21no—
485C22—21no—
486C22—21no—
487C22—21no—
488C22—21no—
489C22—21no—
490C22—44no—
491C22—112no—
492C22—221no—
493C22—221no—
494C22—221no—
495C22—221no—
496C22—221no—
497C22—444no—
498C22D4×AGL(1,𝔽11)12yes—
499C22#4341⋊C512yescomplemented
500C22C23×AGL(1,𝔽11)11yescharacteristic
501C4—21no—
502C4—21no—
503C4—21no—
504C4—112no—
505C4—221no—
506C4—221no—
507C4—221no—
508C4—221no—
509C4—221no—
510C2—22no—
511C2—22no—
512C2—41no—
513C2—41no—
514C2—222no—
515C2—441no—
516C2C2×D4×AGL(1,𝔽11)11yescharacteristic
517C2C2×#4341⋊C511yescharacteristic
518C2#67037⋊C511yescharacteristic
subgroupG/H
center, FrattiniC22C23×AGL(1,𝔽11)
commutator, socle, cosocleC22×C11C24×C5
FittingC11×#120C2×C5
hypercenter#120AGL(1,𝔽11)
hypocenterC11C5×#546
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #120

Complements

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

NH ≅ G/Ntype
1. C22×C22⋊AGL(1,𝔽11)C2semidirect
2. C2×#4341⋊C5C2semidirect
3. #120×C11⋊C5C2semidirect
4. C2×C22⋊(Dic11⋊C5)C2semidirect
5. #66991⋊C5C2semidirect
6. #66990⋊C5C2semidirect
7. #66992⋊C5C2semidirect
8. #66992⋊C5C2semidirect
9. D4×Dic11⋊C5C2semidirect
10. #66939⋊C5C2semidirect
11. #66936⋊C5C2semidirect
12. ((C22⋊D11)⋊C4)⋊C5C2semidirect
13. C22⋊C4×AGL(1,𝔽11)C2semidirect
14. #66938⋊C5C2semidirect
15. #66931⋊C5C2semidirect
19. C2×D4×C11⋊C5C22semidirect
20. C2×D4×C11⋊C5C22semidirect
26. C2×C22⋊AGL(1,𝔽11)C22semidirect
27. C2×C22⋊AGL(1,𝔽11)C22semidirect
29. C22×Dic11⋊C5C22semidirect
30. C22×Dic11⋊C5C22semidirect
31. C22×Dic11⋊C5C22semidirect
33. C2×C4×AGL(1,𝔽11)C22semidirect
34. C2×C4×AGL(1,𝔽11)C22semidirect
35. C2×(C11⋊C5)⋊Q8C22semidirect
37. C22⋊C4×C11⋊C5C22semidirect
38. C22⋊C4×C11⋊C5C22semidirect
41. C22⋊(Dic11⋊C5)C22semidirect
42. C22⋊(Dic11⋊C5)C22semidirect
43. C22⋊(Dic11⋊C5)C22semidirect
44. ((C2×D11)⋊C4)⋊C5C22semidirect
45. ((C2×D11)⋊C4)⋊C5C22semidirect
46. ((C2×D11)⋊C4)⋊C5C22semidirect
47. ((C2×D11)⋊C4)⋊C5C22semidirect
48. C4⋊(Dic11⋊C5)C22semidirect
49. C4⋊(Dic11⋊C5)C22semidirect
50. (Dic11⋊C4)⋊C5C22semidirect
51. (Dic11⋊C4)⋊C5C22semidirect
52. C4×Dic11⋊C5C22semidirect
53. #10623122C5semidirect
77. C22⋊AGL(1,𝔽11)D4semidirect
91. C22×C22⋊D11C2×C5semidirect
92. C2×#4341C2×C5semidirect
93. C11×#120C2×C5semidirect
94. C2×C22⋊Dic11C2×C5semidirect
95. #66992C2×C5semidirect
96. #66992C2×C5semidirect
97. #66991C2×C5semidirect
98. #66990C2×C5semidirect
99. D4×Dic11C2×C5semidirect
100. #66939C2×C5semidirect
101. #66938C2×C5semidirect
102. #66936C2×C5semidirect
103. (C22⋊D11)⋊C4C2×C5semidirect
104. C22⋊C4×D11C2×C5semidirect
105. #66931C2×C5semidirect
119. C22×C11⋊C5#41semidirect
140. C2×D4×C11C22×C5semidirect
141. C2×D4×C11C22×C5semidirect
147. C2×C22⋊D11C22×C5semidirect
148. C2×C22⋊D11C22×C5semidirect
150. C22×Dic11C22×C5semidirect
151. C22×Dic11C22×C5semidirect
152. C22×Dic11C22×C5semidirect
154. C2×C4×D11C22×C5semidirect
155. C2×C4×D11C22×C5semidirect
156. C2×Dic22C22×C5semidirect
158. C11×C22⋊C4C22×C5semidirect
159. C11×C22⋊C4C22×C5semidirect
162. C22⋊Dic11C22×C5semidirect
163. C22⋊Dic11C22×C5semidirect
164. C22⋊Dic11C22×C5semidirect
165. (C2×D11)⋊C4C22×C5semidirect
166. (C2×D11)⋊C4C22×C5semidirect
167. (C2×D11)⋊C4C22×C5semidirect
168. (C2×D11)⋊C4C22×C5semidirect
169. C4⋊Dic11C22×C5semidirect
170. C4⋊Dic11C22×C5semidirect
171. Dic11⋊C4C22×C5semidirect
172. Dic11⋊C4C22×C5semidirect
173. C4×Dic11C22×C5semidirect
221. C22⋊D11C5×D4semidirect
273. C11⋊C5#546semidirect
286. C22×C11C5×#41semidirect
351. #120AGL(1,𝔽11)semidirect
407. C2×D4C2×AGL(1,𝔽11)semidirect
408. C2×D4C2×AGL(1,𝔽11)semidirect
429. C22⋊C4C2×AGL(1,𝔽11)semidirect
430. C22⋊C4C2×AGL(1,𝔽11)semidirect
432. C11C5×#546semidirect
499. C22#4341⋊C5semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊AGL(1,𝔽11)2
C2×#4341⋊C52
#120×C11⋊C52
C2×C22⋊(Dic11⋊C5)2
#66991⋊C52
#66990⋊C52
#66992⋊C52
D4×Dic11⋊C52
#66939⋊C52
#66936⋊C52
((C22⋊D11)⋊C4)⋊C52
C22⋊C4×AGL(1,𝔽11)2
#66938⋊C52
#66931⋊C52
#106231225
C5×#54611