Finite Group Databasebeta

← #72269560

Subgroups — #72269560

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
1C2×#4341⋊C5C211yesmaximal, characteristic, complemented
2C2×D4×AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
3#121×C11⋊C5C211yesmaximal, characteristic, complemented
4#66990⋊C5C211yesmaximal, characteristic, complemented
5#66990⋊C5C211yesmaximal, characteristic, complemented
6#66988⋊C5C211yesmaximal, characteristic, complemented
7#66992⋊C5C211yesmaximal, characteristic, complemented
8C4×C22⋊AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
9C2×((C2×D11)⋊C4)⋊C5C211yesmaximal, characteristic, complemented
10#66947⋊C5C211yesmaximal, characteristic, complemented
11#66949⋊C5C211yesmaximal, characteristic, complemented
12#66937⋊C5C211yesmaximal, characteristic, complemented
13((C22⋊D11)⋊C4)⋊C5C211yesmaximal, characteristic, complemented
14C22⋊C4×AGL(1,𝔽11)C211yesmaximal, characteristic, complemented
15#66938⋊C5C211yesmaximal, characteristic, complemented
16C23×AGL(1,𝔽11)C2211yescharacteristic
17C23×AGL(1,𝔽11)C2211yescharacteristic
18C2×D4×C11⋊C5C2211yescharacteristic
19C2×D4×C11⋊C5C2211yescharacteristic, complemented
20C2×D4×C11⋊C5C2211yescharacteristic, complemented
21C22×C4×C11⋊C5C2211yescharacteristic, complemented
22C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
23C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
24C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic
25C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic, complemented
26C2×C22⋊AGL(1,𝔽11)C2211yescharacteristic, complemented
27C22×Dic11⋊C5C2211yescharacteristic, complemented
28C22×Dic11⋊C5C2211yescharacteristic, complemented
29#4341⋊C5—24no—
30D4×AGL(1,𝔽11)—24no—
31C2×C4⋊AGL(1,𝔽11)C2211yescharacteristic
32C2×C4×AGL(1,𝔽11)C2211yescharacteristic
33C2×C4×AGL(1,𝔽11)C2211yescharacteristic, complemented
34C2×C4×AGL(1,𝔽11)C2211yescharacteristic, complemented
35C2×(C11⋊C5)⋊Q8C2211yescharacteristic, complemented
36C4⋊C4×C11⋊C5C2211yescharacteristic, complemented
37C22⋊C4×C11⋊C5C2211yescharacteristic, complemented
38C22⋊C4×C11⋊C5C2211yescharacteristic, complemented
39C22⋊(Dic11⋊C5)C2211yescharacteristic, complemented
40C22⋊(Dic11⋊C5)C2211yescharacteristic, complemented
41C22⋊(Dic11⋊C5)C2211yescharacteristic, complemented
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
47((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
48((C2×D11)⋊C4)⋊C5C2211yescharacteristic, complemented
49(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
50(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
51(Dic11⋊C4)⋊C5C2211yescharacteristic, complemented
52C4×Dic11⋊C5C2211yescharacteristic, complemented
53#10623141C511yesmaximal, characteristic, complemented, Hall
54C23×C11⋊C5C2311yescharacteristic
55C23×C11⋊C5C2311yescharacteristic
56C23×C11⋊C5C2311yescharacteristic
57C22×AGL(1,𝔽11)—22no—
58C22×AGL(1,𝔽11)—22no—
59C22×AGL(1,𝔽11)—22no—
60C22×AGL(1,𝔽11)—22no—
61C22×AGL(1,𝔽11)—41no—
62C22×AGL(1,𝔽11)—41no—
63C22×AGL(1,𝔽11)C2311yescharacteristic
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⋊C5—41no—
70C2×C4×C11⋊C5C2311yescharacteristic
71C2×C4×C11⋊C5C2311yescharacteristic
72C2×C4×C11⋊C5C2311yescharacteristic
73C2×C4×C11⋊C5C2311yescharacteristic
74C22⋊AGL(1,𝔽11)—22no—
75C22⋊AGL(1,𝔽11)—22no—
76C22⋊AGL(1,𝔽11)—22no—
77C22⋊AGL(1,𝔽11)—41no—
78C22⋊AGL(1,𝔽11)D414yescomplemented
79C2×Dic11⋊C5—22no—
80C2×Dic11⋊C5—22no—
81C2×Dic11⋊C5C2311yescharacteristic
82C2×Dic11⋊C5C2311yescharacteristic
83C2×Dic11⋊C5C2311yescharacteristic
84C2×Dic11⋊C5C2311yescharacteristic
85C2×Dic11⋊C5C2311yescharacteristic
86C4⋊AGL(1,𝔽11)—22no—
87C4×AGL(1,𝔽11)—22no—
88C4×AGL(1,𝔽11)—22no—
89C4×AGL(1,𝔽11)—41no—
90(C11⋊C5)⋊Q8—22no—
91C2×#4341C2×C511yescharacteristic, complemented
92C2×D4×D11C2×C511yescharacteristic, complemented
93C11×#121C2×C511yescharacteristic, complemented
94#66992C2×C511yescharacteristic, complemented
95#66990C2×C511yescharacteristic, complemented
96#66990C2×C511yescharacteristic, complemented
97#66988C2×C511yescharacteristic, complemented
98C4×C22⋊D11C2×C511yescharacteristic, complemented
99C2×(C2×D11)⋊C4C2×C511yescharacteristic, complemented
100#66949C2×C511yescharacteristic, complemented
101#66947C2×C511yescharacteristic, complemented
102#66938C2×C511yescharacteristic, complemented
103#66937C2×C511yescharacteristic, complemented
104(C22⋊D11)⋊C4C2×C511yescharacteristic, complemented
105C22⋊C4×D11C2×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⋊C5C2×D412yes—
116C22×C11⋊C5C2411yescharacteristic
117C2×AGL(1,𝔽11)—21no—
118C2×AGL(1,𝔽11)—21no—
119C2×AGL(1,𝔽11)—21no—
120C2×AGL(1,𝔽11)—21no—
121C2×AGL(1,𝔽11)—21no—
122C2×AGL(1,𝔽11)—21no—
123C2×AGL(1,𝔽11)—21no—
124C2×AGL(1,𝔽11)—44no—
125C2×AGL(1,𝔽11)—44no—
126C2×AGL(1,𝔽11)C2×D412yes—
127C2×AGL(1,𝔽11)#4112yescomplemented
128C4×C11⋊C5—21no—
129C4×C11⋊C5—21no—
130C4×C11⋊C5—21no—
131C4×C11⋊C5—21no—
132Dic11⋊C5—21no—
133Dic11⋊C5—21no—
134Dic11⋊C5—21no—
135Dic11⋊C5—21no—
136Dic11⋊C5C2×D412yes—
137C23×D11C22×C511yescharacteristic
138C23×D11C22×C511yescharacteristic
139C2×D4×C11C22×C511yescharacteristic
140C2×D4×C11C22×C511yescharacteristic, complemented
141C2×D4×C11C22×C511yescharacteristic, complemented
142C22×C4×C11C22×C511yescharacteristic, complemented
143C2×C22⋊D11C22×C511yescharacteristic
144C2×C22⋊D11C22×C511yescharacteristic
145C2×C22⋊D11C22×C511yescharacteristic
146C2×C22⋊D11C22×C511yescharacteristic, complemented
147C2×C22⋊D11C22×C511yescharacteristic, complemented
148C22×Dic11C22×C511yescharacteristic, complemented
149C22×Dic11C22×C511yescharacteristic, complemented
150#4341—24no—
151D4×D11—24no—
152C2×D44C22×C511yescharacteristic
153C2×C4×D11C22×C511yescharacteristic
154C2×C4×D11C22×C511yescharacteristic, complemented
155C2×C4×D11C22×C511yescharacteristic, complemented
156C2×Dic22C22×C511yescharacteristic, complemented
157C11×C4⋊C4C22×C511yescharacteristic, complemented
158C11×C22⋊C4C22×C511yescharacteristic, complemented
159C11×C22⋊C4C22×C511yescharacteristic, complemented
160C22⋊Dic11C22×C511yescharacteristic, complemented
161C22⋊Dic11C22×C511yescharacteristic, complemented
162C22⋊Dic11C22×C511yescharacteristic, complemented
163(C2×D11)⋊C4C22×C511yescharacteristic
164(C2×D11)⋊C4C22×C511yescharacteristic
165(C2×D11)⋊C4C22×C511yescharacteristic
166(C2×D11)⋊C4C22×C511yescharacteristic, complemented
167(C2×D11)⋊C4C22×C511yescharacteristic, complemented
168(C2×D11)⋊C4C22×C511yescharacteristic, complemented
169(C2×D11)⋊C4C22×C511yescharacteristic, complemented
170Dic11⋊C4C22×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—221no—
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—41no—
191C2×C11⋊C5—41no—
192C2×C11⋊C5C22×D411yescharacteristic
193C2×C11⋊C5C2×#4111yescharacteristic
194C2×C11⋊C5H(5,𝔽2)11yescharacteristic
195AGL(1,𝔽11)—22no—
196AGL(1,𝔽11)—22no—
197AGL(1,𝔽11)—41no—
198C23×C11C23×C511yescharacteristic
199C23×C11C23×C511yescharacteristic
200C23×C11C23×C511yescharacteristic
201C22×D11—22no—
202C22×D11—22no—
203C22×D11—22no—
204C22×D11—22no—
205C22×D11—41no—
206C22×D11—41no—
207C22×D11C23×C511yescharacteristic
208C22×D11C23×C511yescharacteristic
209C22×D11C23×C511yescharacteristic
210D4×C11—22no—
211D4×C11—22no—
212D4×C11—41no—
213C2×C4×C11—41no—
214C2×C4×C11C23×C511yescharacteristic
215C2×C4×C11C23×C511yescharacteristic
216C2×C4×C11C23×C511yescharacteristic
217C2×C4×C11C23×C511yescharacteristic
218C22⋊D11—22no—
219C22⋊D11—22no—
220C22⋊D11—22no—
221C22⋊D11—41no—
222C22⋊D11C5×D414yescomplemented
223C2×Dic11—22no—
224C2×Dic11—22no—
225C2×Dic11C23×C511yescharacteristic
226C2×Dic11C23×C511yescharacteristic
227C2×Dic11C23×C511yescharacteristic
228C2×Dic11C23×C511yescharacteristic
229C2×Dic11C23×C511yescharacteristic
230D44—22no—
231C4×D11—22no—
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—224no—
246C2×C5×D4—221no—
247C2×C5×D4—221no—
248C2×C5×D4—221no—
249C22×C4×C5—111no—
250C22×C4×C5—111no—
251C22×C4×C5—111no—
252C22×C4×C5—111no—
253C22×C4×C5—111no—
254C22×C4×C5—221no—
255C5×C4⋊C4—111no—
256C5×C4⋊C4—111no—
257C5×C4⋊C4—111no—
258C5×C4⋊C4—221no—
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—221no—
270C5×C22⋊C4—221no—
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×C11C2×C5×D412yes—
283C22×C11C24×C511yescharacteristic
284C2×D11—21no—
285C2×D11—21no—
286C2×D11—21no—
287C2×D11—21no—
288C2×D11—21no—
289C2×D11—21no—
290C2×D11—21no—
291C2×D11—44no—
292C2×D11—44no—
293C2×D11C2×C5×D412yes—
294C2×D11C5×#4112yescomplemented
295C4×C11—21no—
296C4×C11—21no—
297C4×C11—21no—
298C4×C11—21no—
299Dic11—21no—
300Dic11—21no—
301Dic11—21no—
302Dic11—21no—
303Dic11C2×C5×D412yes—
304C23×C5—111no—
305C23×C5—111no—
306C23×C5—111no—
307C23×C5—222no—
308C23×C5—222no—
309C23×C5—222no—
310C23×C5—222no—
311C23×C5—221no—
312C23×C5—221no—
313C23×C5—221no—
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—442no—
323C5×D4—442no—
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—222no—
332C2×C4×C5—222no—
333C2×C4×C5—222no—
334C2×C4×C5—222no—
335C2×C4×C5—221no—
336C2×C4×C5—221no—
337C2×C4×C5—221no—
338C2×C4×C5—221no—
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#121AGL(1,𝔽11)11yescharacteristic, complemented
350#120—111no—
351#120—111no—
352C4×D4—111no—
353C4×D4—111no—
354C2×C22⋊C4—111no—
355C2×C22⋊C4—111no—
356C2×C11—22no—
357C2×C11—41no—
358C2×C11—41no—
359C2×C11C22×C5×D411yescharacteristic
360C2×C11C2×C5×#4111yescharacteristic
361C2×C11C5×H(5,𝔽2)11yescharacteristic
362D11—22no—
363D11—22no—
364D11—41no—
365C22×C5—112no—
366C22×C5—112no—
367C22×C5—221no—
368C22×C5—221no—
369C22×C5—221no—
370C22×C5—221no—
371C22×C5—221no—
372C22×C5—221no—
373C22×C5—221no—
374C22×C5—222no—
375C22×C5—221no—
376C22×C5—441no—
377C22×C5—441no—
378C22×C5—441no—
379C22×C5—441no—
380C22×C5—441no—
381C22×C5—441no—
382C22×C5—441no—
383C22×C5—441no—
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—441no—
393C4×C5—441no—
394C4×C5—441no—
395C24—111no—
396C24—111no—
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×C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
415C4⋊C4—111no—
416C4⋊C4—111no—
417C4⋊C4—111no—
418C4⋊C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
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⋊C4—111no—
429C22⋊C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
430C22⋊C4C2×AGL(1,𝔽11)11yescharacteristic, complemented
431C42—111no—
432C11C5×#54611yescharacteristic, complemented, Sylow
433C2×C5—222no—
434C2×C5—222no—
435C2×C5—221no—
436C2×C5—221no—
437C2×C5—221no—
438C2×C5—442no—
439C2×C5—441no—
440C2×C5—881no—
441C2×C5—881no—
442C23—111no—
443C23—111no—
444C23—111no—
445C23—222no—
446C23—222no—
447C23—222no—
448C23—222no—
449C23—441no—
450C23—441no—
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—41no—
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×C4C22×AGL(1,𝔽11)11yescharacteristic
476C2×C4C22×AGL(1,𝔽11)11yescharacteristic
477C2×C4C22×AGL(1,𝔽11)11yescharacteristic
478C2×C4C22×AGL(1,𝔽11)11yescharacteristic
479C5—221noSylow
480C22—21no—
481C22—21no—
482C22—21no—
483C22—21no—
484C22—21no—
485C22—21no—
486C22—21no—
487C22—21no—
488C22—112no—
489C22—112no—
490C22—221no—
491C22—221no—
492C22—221no—
493C22—221no—
494C22—221no—
495C22—221no—
496C22—221no—
497C22—444no—
498C22—444no—
499C22D4×AGL(1,𝔽11)12yes—
500C22C23×AGL(1,𝔽11)11yescharacteristic
501C4—21no—
502C4—21no—
503C4—21no—
504C4—21no—
505C4—112no—
506C4—221no—
507C4—221no—
508C4—221no—
509C4—221no—
510C2—22no—
511C2—41no—
512C2—41no—
513C2—222no—
514C2—222no—
515C2—441no—
516C2C2×D4×AGL(1,𝔽11)11yescharacteristic
517C2#67037⋊C511yescharacteristic
518C2#41×AGL(1,𝔽11)11yescharacteristic
subgroupG/H
center, FrattiniC22C23×AGL(1,𝔽11)
commutator, socle, cosocleC22×C11C24×C5
FittingC11×#121C2×C5
hypercenter#121AGL(1,𝔽11)
hypocenterC11C5×#546
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×#4341⋊C5C2semidirect
2. C2×D4×AGL(1,𝔽11)C2semidirect
3. #121×C11⋊C5C2semidirect
4. #66990⋊C5C2semidirect
5. #66990⋊C5C2semidirect
6. #66988⋊C5C2semidirect
7. #66992⋊C5C2semidirect
8. C4×C22⋊AGL(1,𝔽11)C2semidirect
9. C2×((C2×D11)⋊C4)⋊C5C2semidirect
10. #66947⋊C5C2semidirect
11. #66949⋊C5C2semidirect
12. #66937⋊C5C2semidirect
13. ((C22⋊D11)⋊C4)⋊C5C2semidirect
14. C22⋊C4×AGL(1,𝔽11)C2semidirect
15. #66938⋊C5C2semidirect
19. C2×D4×C11⋊C5C22semidirect
20. C2×D4×C11⋊C5C22semidirect
21. C22×C4×C11⋊C5C22semidirect
25. C2×C22⋊AGL(1,𝔽11)C22semidirect
26. C2×C22⋊AGL(1,𝔽11)C22semidirect
27. C22×Dic11⋊C5C22semidirect
28. C22×Dic11⋊C5C22semidirect
33. C2×C4×AGL(1,𝔽11)C22semidirect
34. C2×C4×AGL(1,𝔽11)C22semidirect
35. C2×(C11⋊C5)⋊Q8C22semidirect
36. C4⋊C4×C11⋊C5C22semidirect
37. C22⋊C4×C11⋊C5C22semidirect
38. C22⋊C4×C11⋊C5C22semidirect
39. C22⋊(Dic11⋊C5)C22semidirect
40. C22⋊(Dic11⋊C5)C22semidirect
41. C22⋊(Dic11⋊C5)C22semidirect
45. ((C2×D11)⋊C4)⋊C5C22semidirect
46. ((C2×D11)⋊C4)⋊C5C22semidirect
47. ((C2×D11)⋊C4)⋊C5C22semidirect
48. ((C2×D11)⋊C4)⋊C5C22semidirect
49. (Dic11⋊C4)⋊C5C22semidirect
50. (Dic11⋊C4)⋊C5C22semidirect
51. (Dic11⋊C4)⋊C5C22semidirect
52. C4×Dic11⋊C5C22semidirect
53. #10623141C5semidirect
78. C22⋊AGL(1,𝔽11)D4semidirect
91. C2×#4341C2×C5semidirect
92. C2×D4×D11C2×C5semidirect
93. C11×#121C2×C5semidirect
94. #66992C2×C5semidirect
95. #66990C2×C5semidirect
96. #66990C2×C5semidirect
97. #66988C2×C5semidirect
98. C4×C22⋊D11C2×C5semidirect
99. C2×(C2×D11)⋊C4C2×C5semidirect
100. #66949C2×C5semidirect
101. #66947C2×C5semidirect
102. #66938C2×C5semidirect
103. #66937C2×C5semidirect
104. (C22⋊D11)⋊C4C2×C5semidirect
105. C22⋊C4×D11C2×C5semidirect
127. C2×AGL(1,𝔽11)#41semidirect
140. C2×D4×C11C22×C5semidirect
141. C2×D4×C11C22×C5semidirect
142. C22×C4×C11C22×C5semidirect
146. C2×C22⋊D11C22×C5semidirect
147. C2×C22⋊D11C22×C5semidirect
148. C22×Dic11C22×C5semidirect
149. C22×Dic11C22×C5semidirect
154. C2×C4×D11C22×C5semidirect
155. C2×C4×D11C22×C5semidirect
156. C2×Dic22C22×C5semidirect
157. C11×C4⋊C4C22×C5semidirect
158. C11×C22⋊C4C22×C5semidirect
159. C11×C22⋊C4C22×C5semidirect
160. C22⋊Dic11C22×C5semidirect
161. C22⋊Dic11C22×C5semidirect
162. C22⋊Dic11C22×C5semidirect
166. (C2×D11)⋊C4C22×C5semidirect
167. (C2×D11)⋊C4C22×C5semidirect
168. (C2×D11)⋊C4C22×C5semidirect
169. (C2×D11)⋊C4C22×C5semidirect
170. Dic11⋊C4C22×C5semidirect
171. Dic11⋊C4C22×C5semidirect
172. Dic11⋊C4C22×C5semidirect
173. C4×Dic11C22×C5semidirect
222. C22⋊D11C5×D4semidirect
273. C11⋊C5#546semidirect
294. C2×D11C5×#41semidirect
349. #121AGL(1,𝔽11)semidirect
407. C2×D4C2×AGL(1,𝔽11)semidirect
408. C2×D4C2×AGL(1,𝔽11)semidirect
414. C22×C4C2×AGL(1,𝔽11)semidirect
418. C4⋊C4C2×AGL(1,𝔽11)semidirect
429. C22⋊C4C2×AGL(1,𝔽11)semidirect
430. C22⋊C4C2×AGL(1,𝔽11)semidirect
432. C11C5×#546semidirect

Maximal subgroups

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

subgroupindex
C2×#4341⋊C52
C2×D4×AGL(1,𝔽11)2
#121×C11⋊C52
#66990⋊C52
#66988⋊C52
#66992⋊C52
C4×C22⋊AGL(1,𝔽11)2
C2×((C2×D11)⋊C4)⋊C52
#66947⋊C52
#66949⋊C52
#66937⋊C52
((C22⋊D11)⋊C4)⋊C52
C22⋊C4×AGL(1,𝔽11)2
#66938⋊C52
#106231415
C5×#54611