Finite Group Databasebeta

← C2×C11×#2490 #14611977

Subgroups — C2×C11×#2490 #14611977

Order 2816.

3158 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×#125C211yesmaximal, characteristic, complemented
2C22×C11×#121C211yesmaximal, characteristic
3C11×#2490C2116yesmaximal, direct product factor
4C2×C11×#397C212yesmaximal, complemented
5C2×C11×#394C212yesmaximal, complemented
6C2×C11×#390C211yesmaximal, characteristic, complemented
7C2×C11×#390C211yesmaximal, characteristic, complemented
8C2×C11×#390C212yesmaximal, complemented
9C2×C11×#388C212yesmaximal, complemented
10C2×C11×#380C211yesmaximal, characteristic, complemented
11C2×C4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
12C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×D4×C11C2212yes—
15C24×C4×C11C2211yescharacteristic
16C2×C11×#125—28no—
17C2×C11×#125C2218yescomplemented
18C2×C11×#121—28no—
19C2×C11×#121C2218yes—
20C22×C11×C4⋊C4C2212yes—
21C22×C11×C4⋊C4C2212yes—
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C11×C4⋊C4C2211yescharacteristic
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2212yes—
27C22×C11×C22⋊C4C2211yescharacteristic
28C22×C11×C22⋊C4C2212yes—
29C22×C11×C22⋊C4C2212yes—
30C22×C11×C22⋊C4C2212yes—
31C22×C11×C22⋊C4C2212yes—
32C22×C11×C22⋊C4C2212yes—
33C22×C42×C11C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C22×C42×C11C2212yes—
36C11×#397C22116yescomplemented
37C11×#394C22116yescomplemented
38C11×#390C2218yescomplemented
39C11×#390C2218yescomplemented
40C11×#390C22116yescomplemented
41C11×#388C22116yescomplemented
42C11×#380C2218yescomplemented
43C4×C11×C4⋊C4C2218yescomplemented
44C4×C11×C22⋊C4C2218yescomplemented
45C2×C11×#95C2212yes—
46C2×C11×#95C2211yescharacteristic
47C2×C11×#95C2212yes—
48C2×C11×#95C2211yescharacteristic
49C25×C11C2312yes—
50C25×C11C2311yescharacteristic
51C22×D4×C11—28no—
52C22×D4×C11—28no—
53C22×D4×C11—24no—
54C22×D4×C11—24no—
55C22×D4×C11—24no—
56C22×D4×C11—44no—
57C22×D4×C11C2314yes—
58C22×D4×C11C2318yes—
59C23×C4×C11—24no—
60C23×C4×C11—24no—
61C23×C4×C11—24no—
62C23×C4×C11C2314yes—
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2312yes—
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2312yes—
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2312yes—
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C11×#125—232no—
73C11×#121—232no—
74C2×C11×C4⋊C4—28no—
75C2×C11×C4⋊C4—28no—
76C2×C11×C4⋊C4—24no—
77C2×C11×C4⋊C4—24no—
78C2×C11×C4⋊C4D418yes—
79C2×C11×C4⋊C4C2314yes—
80C2×C11×C4⋊C4C2314yes—
81C2×C11×C4⋊C4C2318yes—
82C2×C11×C4⋊C4C2318yes—
83C2×C11×C4⋊C4C2314yes—
84C2×C11×C22⋊C4—24no—
85C2×C11×C22⋊C4—28no—
86C2×C11×C22⋊C4—24no—
87C2×C11×C22⋊C4—28no—
88C2×C11×C22⋊C4—44no—
89C2×C11×C22⋊C4—44no—
90C2×C11×C22⋊C4—44no—
91C2×C11×C22⋊C4—44no—
92C2×C11×C22⋊C4C2314yes—
93C2×C11×C22⋊C4C2314yes—
94C2×C11×C22⋊C4C2318yes—
95C2×C11×C22⋊C4C2318yes—
96C2×C11×C22⋊C4C2318yes—
97C2×C11×C22⋊C4C2318yes—
98C2×C11×C22⋊C4C2318yes—
99C2×C11×C22⋊C4C2318yes—
100C2×C42×C11—24no—
101C2×C42×C11—24no—
102C2×C42×C11—44no—
103C2×C42×C11C2314yes—
104C2×C42×C11C2314yes—
105C2×C42×C11C2318yes—
106C11×#95C2314yes—
107C11×#95C2314yes—
108C11×#95C2318yes—
109C11×#95C2318yes—
110C2×#2490C1111yesmaximal, characteristic, direct product factor, Sylow
111C24×C11—22no—
112C24×C11—22no—
113C24×C11—22no—
114C24×C11—22no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11—24no—
118C24×C11—24no—
119C24×C11—24no—
120C24×C11—24no—
121C24×C11—24no—
122C24×C11—24no—
123C24×C11—24no—
124C24×C11#4114yes—
125C24×C11C2414yes—
126C24×C11C2412yes—
127C24×C11C2411yescharacteristic
128C2×D4×C11—216no—
129C2×D4×C11—216no—
130C2×D4×C11—28no—
131C2×D4×C11—28no—
132C2×D4×C11—28no—
133C2×D4×C11—48no—
134C2×D4×C11—432no—
135C2×D4×C11—416no—
136C22×C4×C11—22no—
137C22×C4×C11—24no—
138C22×C4×C11—22no—
139C22×C4×C11—24no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—24no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—24no—
148C22×C4×C11—22no—
149C22×C4×C11—24no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—24no—
153C22×C4×C11—24no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—24no—
157C22×C4×C11—22no—
158C22×C4×C11—28no—
159C22×C4×C11—28no—
160C22×C4×C11—28no—
161C22×C4×C11—416no—
162C22×C4×C11C2×D418yes—
163C22×C4×C11C2×D414yes—
164C22×C4×C11#4114yes—
165C22×C4×C11#4114yes—
166C22×C4×C11#4114yes—
167C22×C4×C11C2412yes—
168C22×C4×C11C2412yes—
169C22×C4×C11C2414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2414yes—
173C22×C4×C11C2414yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C11×C4⋊C4—216no—
177C11×C4⋊C4—216no—
178C11×C4⋊C4—28no—
179C11×C4⋊C4—28no—
180C11×C4⋊C4C2×D4116yes—
181C11×C22⋊C4—28no—
182C11×C22⋊C4—216no—
183C11×C22⋊C4—28no—
184C11×C22⋊C4—216no—
185C11×C22⋊C4—48no—
186C11×C22⋊C4—48no—
187C11×C22⋊C4—48no—
188C11×C22⋊C4—48no—
189C42×C11—28no—
190C42×C11—28no—
191C42×C11—48no—
192C22×#125C2×C1111yescharacteristic, complemented
193C22×#121C2×C1111yescharacteristic
194#2490C2×C11116yesdirect product factor
195C2×#397C2×C1112yescomplemented
196C2×#394C2×C1112yescomplemented
197C2×#390C2×C1112yescomplemented
198C2×#390C2×C1111yescharacteristic, complemented
199C2×#390C2×C1111yescharacteristic, complemented
200C2×#388C2×C1112yescomplemented
201C2×#380C2×C1111yescharacteristic, complemented
202C2×C4×C4⋊C4C2×C1111yescharacteristic, complemented
203C2×C4×C22⋊C4C2×C1111yescharacteristic, complemented
204C23×C11—28no—
205C23×C11—28no—
206C23×C11—28no—
207C23×C11—22no—
208C23×C11—22no—
209C23×C11—22no—
210C23×C11—22no—
211C23×C11—22no—
212C23×C11—22no—
213C23×C11—24no—
214C23×C11—24no—
215C23×C11—24no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—44no—
221C23×C11—44no—
222C23×C11—44no—
223C23×C11—44no—
224C23×C11—48no—
225C23×C11—48no—
226C23×C11—48no—
227C23×C11—48no—
228C23×C11—48no—
229C23×C11—48no—
230C23×C11—48no—
231C23×C11C22×D412yes—
232C23×C11C2×#4114yes—
233C23×C11C2×#4112yes—
234C23×C11C2×#4112yes—
235C23×C11C2×#4112yes—
236C23×C11C2×#4112yes—
237C23×C11H(5,𝔽2)12yes—
238C23×C11H(5,𝔽2)12yes—
239C23×C11C2511yescharacteristic
240D4×C11—432no—
241D4×C11—416no—
242C2×C4×C11—216no—
243C2×C4×C11—28no—
244C2×C4×C11—22no—
245C2×C4×C11—24no—
246C2×C4×C11—22no—
247C2×C4×C11—24no—
248C2×C4×C11—22no—
249C2×C4×C11—22no—
250C2×C4×C11—22no—
251C2×C4×C11—24no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—24no—
256C2×C4×C11—22no—
257C2×C4×C11—24no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—24no—
265C2×C4×C11—22no—
266C2×C4×C11—44no—
267C2×C4×C11—48no—
268C2×C4×C11—44no—
269C2×C4×C11—44no—
270C2×C4×C11—48no—
271C2×C4×C11—44no—
272C2×C4×C11—416no—
273C2×C4×C11#124116yes—
274C2×C4×C11C22×D418yes—
275C2×C4×C11C22×D414yes—
276C2×C4×C11C2×#4114yes—
277C2×C4×C11C2×#4114yes—
278C2×C4×C11C2×#4114yes—
279C23×D4C22×C1111yescharacteristic
280C23×D4C22×C1112yes—
281C24×C4C22×C1111yescharacteristic
282C2×#125—28no—
283C2×#125C22×C1118yescomplemented
284C2×#121—28no—
285C2×#121C22×C1118yes—
286C22×C4⋊C4C22×C1112yes—
287C22×C4⋊C4C22×C1112yes—
288C22×C4⋊C4C22×C1111yescharacteristic
289C22×C4⋊C4C22×C1111yescharacteristic
290C22×C4⋊C4C22×C1111yescharacteristic
291C22×C22⋊C4C22×C1111yescharacteristic
292C22×C22⋊C4C22×C1112yes—
293C22×C22⋊C4C22×C1111yescharacteristic
294C22×C22⋊C4C22×C1112yes—
295C22×C22⋊C4C22×C1112yes—
296C22×C22⋊C4C22×C1112yes—
297C22×C22⋊C4C22×C1112yes—
298C22×C22⋊C4C22×C1112yes—
299C22×C42C22×C1111yescharacteristic
300C22×C42C22×C1111yescharacteristic
301C22×C42C22×C1112yes—
302#397C22×C11116yescomplemented
303#394C22×C11116yescomplemented
304#390C22×C1118yescomplemented
305#390C22×C1118yescomplemented
306#390C22×C11116yescomplemented
307#388C22×C11116yescomplemented
308#380C22×C1118yescomplemented
309C4×C4⋊C4C22×C1118yescomplemented
310C4×C22⋊C4C22×C1118yescomplemented
311C2×#95C22×C1112yes—
312C2×#95C22×C1111yescharacteristic
313C2×#95C22×C1112yes—
314C2×#95C22×C1111yescharacteristic
315C22×C11—24no—
316C22×C11—24no—
317C22×C11—24no—
318C22×C11—42no—
319C22×C11—42no—
320C22×C11—42no—
321C22×C11—42no—
322C22×C11—416no—
323C22×C11—44no—
324C22×C11—44no—
325C22×C11—44no—
326C22×C11—44no—
327C22×C11—44no—
328C22×C11—44no—
329C22×C11—44no—
330C22×C11—816no—
331C22×C11C2×#12414yes—
332C22×C11#52914yes—
333C22×C11#54014yes—
334C22×C11#54614yes—
335C22×C11#55014yes—
336C22×C11#55314yes—
337C22×C11#55314yes—
338C22×C11C23×D411yescharacteristic
339C22×C11C22×#4111yescharacteristic
340C22×C11C22×#4111yescharacteristic
341C22×C11C22×#4111yescharacteristic
342C22×C11C22×#4111yescharacteristic
343C22×C11C2×H(5,𝔽2)11yescharacteristic
344C22×C11C2×H(5,𝔽2)11yescharacteristic
345C4×C11—28no—
346C4×C11—24no—
347C4×C11—42no—
348C4×C11—44no—
349C4×C11—42no—
350C4×C11—42no—
351C4×C11—44no—
352C4×C11—42no—
353C4×C11C2×#12418yes—
354C25C23×C1112yes—
355C25C23×C1111yescharacteristic
356C22×D4—28no—
357C22×D4—28no—
358C22×D4—24no—
359C22×D4—24no—
360C22×D4—24no—
361C22×D4—44no—
362C22×D4C23×C1114yes—
363C22×D4C23×C1118yes—
364C23×C4—24no—
365C23×C4—24no—
366C23×C4—24no—
367C23×C4C23×C1112yes—
368C23×C4C23×C1111yescharacteristic
369C23×C4C23×C1111yescharacteristic
370C23×C4C23×C1112yes—
371C23×C4C23×C1111yescharacteristic
372C23×C4C23×C1111yescharacteristic
373C23×C4C23×C1114yes—
374C23×C4C23×C1112yes—
375C23×C4C23×C1111yescharacteristic
376C23×C4C23×C1111yescharacteristic
377#125—232no—
378#121—232no—
379C2×C4⋊C4—28no—
380C2×C4⋊C4—28no—
381C2×C4⋊C4—24no—
382C2×C4⋊C4—24no—
383C2×C4⋊C4D4×C1118yes—
384C2×C4⋊C4C23×C1114yes—
385C2×C4⋊C4C23×C1118yes—
386C2×C4⋊C4C23×C1118yes—
387C2×C4⋊C4C23×C1114yes—
388C2×C4⋊C4C23×C1114yes—
389C2×C22⋊C4—24no—
390C2×C22⋊C4—28no—
391C2×C22⋊C4—24no—
392C2×C22⋊C4—28no—
393C2×C22⋊C4—44no—
394C2×C22⋊C4—44no—
395C2×C22⋊C4—44no—
396C2×C22⋊C4—44no—
397C2×C22⋊C4C23×C1118yes—
398C2×C22⋊C4C23×C1114yes—
399C2×C22⋊C4C23×C1114yes—
400C2×C22⋊C4C23×C1118yes—
401C2×C22⋊C4C23×C1118yes—
402C2×C22⋊C4C23×C1118yes—
403C2×C22⋊C4C23×C1118yes—
404C2×C22⋊C4C23×C1118yes—
405C2×C42—24no—
406C2×C42—24no—
407C2×C42—44no—
408C2×C42C23×C1114yes—
409C2×C42C23×C1114yes—
410C2×C42C23×C1118yes—
411#95C23×C1114yes—
412#95C23×C1114yes—
413#95C23×C1118yes—
414#95C23×C1118yes—
415C2×C11—44no—
416C2×C11—84no—
417C2×C11#249018yesdirect product factor
418C2×C11C22×#12411yescharacteristic
419C2×C11C2×#52911yescharacteristic
420C2×C11C2×#54011yescharacteristic
421C2×C11C2×#54611yescharacteristic
422C2×C11C2×#55011yescharacteristic
423C2×C11C2×#55311yescharacteristic
424C2×C11C2×#55311yescharacteristic
425C24—22no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24—22no—
430C24—22no—
431C24—24no—
432C24—24no—
433C24—24no—
434C24—24no—
435C24—24no—
436C24—24no—
437C24—24no—
438C24C11×#4114yes—
439C24C24×C1114yes—
440C24C24×C1112yes—
441C24C24×C1111yescharacteristic
442C2×D4—216no—
443C2×D4—216no—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—28no—
447C2×D4—48no—
448C2×D4—432no—
449C2×D4—416no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—416no—
476C22×C4C2×D4×C1118yes—
477C22×C4C2×D4×C1114yes—
478C22×C4C11×#4114yes—
479C22×C4C11×#4114yes—
480C22×C4C11×#4114yes—
481C22×C4C24×C1112yes—
482C22×C4C24×C1112yes—
483C22×C4C24×C1114yes—
484C22×C4C24×C1112yes—
485C22×C4C24×C1112yes—
486C22×C4C24×C1114yes—
487C22×C4C24×C1114yes—
488C22×C4C24×C1112yes—
489C22×C4C24×C1112yes—
490C4⋊C4—216no—
491C4⋊C4—216no—
492C4⋊C4—28no—
493C4⋊C4—28no—
494C4⋊C4C2×D4×C11116yes—
495C22⋊C4—28no—
496C22⋊C4—216no—
497C22⋊C4—28no—
498C22⋊C4—216no—
499C22⋊C4—48no—
500C22⋊C4—48no—
501C22⋊C4—48no—
502C22⋊C4—48no—
503C42—28no—
504C42—28no—
505C42—48no—
506C11C2×#249011yescharacteristic, direct product factor, Sylow
507C23—28no—
508C23—28no—
509C23—28no—
510C23—22no—
511C23—22no—
512C23—22no—
513C23—22no—
514C23—22no—
515C23—22no—
516C23—24no—
517C23—24no—
518C23—24no—
519C23—24no—
520C23—24no—
521C23—24no—
522C23—24no—
523C23—44no—
524C23—44no—
525C23—44no—
526C23—44no—
527C23—48no—
528C23—48no—
529C23—48no—
530C23—48no—
531C23—48no—
532C23—48no—
533C23—48no—
534C23C22×D4×C1112yes—
535C23C2×C11×#4114yes—
536C23C2×C11×#4112yes—
537C23C2×C11×#4112yes—
538C23C2×C11×#4112yes—
539C23C2×C11×#4112yes—
540C23C11×H(5,𝔽2)12yes—
541C23C11×H(5,𝔽2)12yes—
542C23C25×C1111yescharacteristic
543D4—432no—
544D4—416no—
545C2×C4—216no—
546C2×C4—28no—
547C2×C4—22no—
548C2×C4—24no—
549C2×C4—22no—
550C2×C4—24no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—24no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—24no—
559C2×C4—22no—
560C2×C4—24no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—24no—
568C2×C4—22no—
569C2×C4—44no—
570C2×C4—48no—
571C2×C4—44no—
572C2×C4—44no—
573C2×C4—48no—
574C2×C4—44no—
575C2×C4—416no—
576C2×C4C11×#124116yes—
577C2×C4C22×D4×C1118yes—
578C2×C4C22×D4×C1114yes—
579C2×C4C2×C11×#4114yes—
580C2×C4C2×C11×#4114yes—
581C2×C4C2×C11×#4114yes—
582C22—24no—
583C22—24no—
584C22—24no—
585C22—42no—
586C22—42no—
587C22—42no—
588C22—42no—
589C22—416no—
590C22—44no—
591C22—44no—
592C22—44no—
593C22—44no—
594C22—44no—
595C22—44no—
596C22—44no—
597C22—816no—
598C22C2×C11×#12414yes—
599C22C11×#52914yes—
600C22C11×#54014yes—
601C22C11×#54614yes—
602C22C11×#55014yes—
603C22C11×#55314yes—
604C22C11×#55314yes—
605C22C23×D4×C1111yescharacteristic
606C22C22×C11×#4111yescharacteristic
607C22C22×C11×#4111yescharacteristic
608C22C22×C11×#4111yescharacteristic
609C22C22×C11×#4111yescharacteristic
610C22C2×C11×H(5,𝔽2)11yescharacteristic
611C22C2×C11×H(5,𝔽2)11yescharacteristic
612C4—28no—
613C4—24no—
614C4—42no—
615C4—44no—
616C4—42no—
617C4—42no—
618C4—44no—
619C4—42no—
620C4C2×C11×#12418yes—
621C2—44no—
622C2—84no—
623C2C11×#249018yesdirect product factor
624C2C22×C11×#12411yescharacteristic
625C2C2×C11×#52911yescharacteristic
626C2C2×C11×#54011yescharacteristic
627C2C2×C11×#54611yescharacteristic
628C2C2×C11×#55011yescharacteristic
629C2C2×C11×#55311yescharacteristic
630C2C2×C11×#55311yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutator, Frattini, cosocleC23C25×C11
prime radicalC22×C11×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C11×#125C2semidirect
3. C11×#2490C2direct (N × H)
4. C2×C11×#397C2semidirect
5. C2×C11×#394C2semidirect
6. C2×C11×#390C2semidirect
7. C2×C11×#390C2semidirect
8. C2×C11×#390C2semidirect
9. C2×C11×#388C2semidirect
10. C2×C11×#380C2semidirect
11. C2×C4×C11×C4⋊C4C2semidirect
12. C2×C4×C11×C22⋊C4C2semidirect
17. C2×C11×#125C22semidirect
36. C11×#397C22semidirect
37. C11×#394C22semidirect
38. C11×#390C22semidirect
39. C11×#390C22semidirect
40. C11×#390C22semidirect
41. C11×#388C22semidirect
42. C11×#380C22semidirect
43. C4×C11×C4⋊C4C22semidirect
44. C4×C11×C22⋊C4C22semidirect
110. C2×#2490C11direct (N × H)
192. C22×#125C2×C11semidirect
194. #2490C2×C11direct (N × H)
195. C2×#397C2×C11semidirect
196. C2×#394C2×C11semidirect
197. C2×#390C2×C11semidirect
198. C2×#390C2×C11semidirect
199. C2×#390C2×C11semidirect
200. C2×#388C2×C11semidirect
201. C2×#380C2×C11semidirect
202. C2×C4×C4⋊C4C2×C11semidirect
203. C2×C4×C22⋊C4C2×C11semidirect
283. C2×#125C22×C11semidirect
302. #397C22×C11semidirect
303. #394C22×C11semidirect
304. #390C22×C11semidirect
305. #390C22×C11semidirect
306. #390C22×C11semidirect
307. #388C22×C11semidirect
308. #380C22×C11semidirect
309. C4×C4⋊C4C22×C11semidirect
310. C4×C22⋊C4C22×C11semidirect
417. C2×C11#2490direct (N × H)
506. C11C2×#2490direct (N × H)
623. C2C11×#2490direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×#1252
C22×C11×#1212
C11×#24902
C2×C11×#3972
C2×C11×#3942
C2×C11×#3902
C2×C11×#3882
C2×C11×#3802
C2×C4×C11×C4⋊C42
C2×C4×C11×C22⋊C42
C2×#249011