Finite Group Databasebeta

← C2×C11×#2420 #14611889

Subgroups — C2×C11×#2420 #14611889

Order 2816.

3438 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×#121C211yesmaximal, characteristic
2C22×C4×D4×C11C211yesmaximal, characteristic, complemented
3C11×#2420C2116yesmaximal, direct product factor
4C2×C11×#397C212yesmaximal, complemented
5C2×C11×#394C212yesmaximal, complemented
6C2×C11×#390C211yesmaximal, characteristic, complemented
7C2×C11×#389C211yesmaximal, characteristic, complemented
8C2×C11×#386C212yesmaximal, complemented
9C2×C11×#382C211yesmaximal, characteristic, complemented
10C2×C11×#381C212yesmaximal, complemented
11C2×C11×#380C211yesmaximal, characteristic, complemented
12C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13C23×D4×C11C2212yes—
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C24×C4×C11C2212yes—
17C2×C11×#121—28no—
18C2×C11×#121C2218yes—
19C2×C4×D4×C11—28no—
20C2×C4×D4×C11C2218yescomplemented
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C11×C4⋊C4C2212yes—
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2212yes—
27C22×C11×C22⋊C4C2212yes—
28C22×C11×C22⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2212yes—
30C22×C11×C22⋊C4C2212yes—
31C22×C11×C22⋊C4C2212yes—
32C22×C42×C11C2211yescharacteristic
33C22×C42×C11C2211yescharacteristic
34C11×#397C22116yescomplemented
35C11×#394C22116yescomplemented
36C11×#390C2218yescomplemented
37C11×#389C2218yescomplemented
38C11×#386C22116yescomplemented
39C11×#382C2218yescomplemented
40C11×#381C22116yescomplemented
41C11×#380C2218yescomplemented
42C4×C11×C22⋊C4C2218yescomplemented
43C2×C11×#95C2212yes—
44C2×C11×#95C2211yescharacteristic
45C2×C11×#95C2212yes—
46C2×C11×#95C2212yes—
47C2×C11×#95C2211yescharacteristic
48C2×C11×#95C2212yes—
49C25×C11C2312yes—
50C25×C11C2311yescharacteristic
51C22×D4×C11—28no—
52C22×D4×C11—28no—
53C22×D4×C11—24no—
54C22×D4×C11—24no—
55C22×D4×C11—44no—
56C22×D4×C11D418yes—
57C22×D4×C11C2318yes—
58C22×D4×C11C2314yes—
59C23×C4×C11—28no—
60C23×C4×C11—24no—
61C23×C4×C11—28no—
62C23×C4×C11—24no—
63C23×C4×C11—24no—
64C23×C4×C11—44no—
65C23×C4×C11C2314yes—
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2312yes—
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2312yes—
72C23×C4×C11C2312yes—
73C23×C4×C11C2318yes—
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C11×#121—232no—
77C4×D4×C11—232no—
78C2×C11×C4⋊C4—24no—
79C2×C11×C4⋊C4—24no—
80C2×C11×C4⋊C4—24no—
81C2×C11×C4⋊C4—44no—
82C2×C11×C4⋊C4C2314yes—
83C2×C11×C4⋊C4C2314yes—
84C2×C11×C4⋊C4C2314yes—
85C2×C11×C4⋊C4C2318yes—
86C2×C11×C22⋊C4—28no—
87C2×C11×C22⋊C4—28no—
88C2×C11×C22⋊C4—24no—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—44no—
91C2×C11×C22⋊C4—44no—
92C2×C11×C22⋊C4—44no—
93C2×C11×C22⋊C4C2314yes—
94C2×C11×C22⋊C4C2314yes—
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×C11C2314yes—
103C2×C42×C11C2314yes—
104C11×#95C2314yes—
105C11×#95C2314yes—
106C11×#95C2318yes—
107C11×#95C2318yes—
108C11×#95C2318yes—
109C11×#95C2318yes—
110C2×#2420C1111yesmaximal, characteristic, direct product factor, Sylow
111C24×C11—22no—
112C24×C11—22no—
113C24×C11—22no—
114C24×C11—24no—
115C24×C11—22no—
116C24×C11—24no—
117C24×C11—24no—
118C24×C11—24no—
119C24×C11—22no—
120C24×C11—24no—
121C24×C11—24no—
122C24×C11—22no—
123C24×C11C2×D418yes—
124C24×C11#4114yes—
125C24×C11C2414yes—
126C24×C11C2412yes—
127C24×C11C2411yescharacteristic
128C2×D4×C11—216no—
129C2×D4×C11—216no—
130C2×D4×C11—232no—
131C2×D4×C11—28no—
132C2×D4×C11—28no—
133C2×D4×C11—48no—
134C2×D4×C11—432no—
135C2×D4×C11C2×D4116yes—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—24no—
141C22×C4×C11—24no—
142C22×C4×C11—216no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—24no—
149C22×C4×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—24no—
152C22×C4×C11—24no—
153C22×C4×C11—24no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11—22no—
159C22×C4×C11—24no—
160C22×C4×C11—28no—
161C22×C4×C11—216no—
162C22×C4×C11—28no—
163C22×C4×C11—28no—
164C22×C4×C11—48no—
165C22×C4×C11—432no—
166C22×C4×C11—416no—
167C22×C4×C11C2×D414yes—
168C22×C4×C11#4114yes—
169C22×C4×C11#4114yes—
170C22×C4×C11#4114yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2414yes—
175C22×C4×C11C2414yes—
176C22×C4×C11C2414yes—
177C22×C4×C11C2412yes—
178C22×C4×C11C2412yes—
179C22×C4×C11C2412yes—
180C11×C4⋊C4—28no—
181C11×C4⋊C4—28no—
182C11×C4⋊C4—28no—
183C11×C4⋊C4—48no—
184C11×C22⋊C4—216no—
185C11×C22⋊C4—216no—
186C11×C22⋊C4—28no—
187C11×C22⋊C4—28no—
188C11×C22⋊C4—48no—
189C11×C22⋊C4—48no—
190C11×C22⋊C4—48no—
191C42×C11—28no—
192C42×C11—28no—
193C22×#121C2×C1111yescharacteristic
194C22×C4×D4C2×C1111yescharacteristic, complemented
195#2420C2×C11116yesdirect product factor
196C2×#397C2×C1112yescomplemented
197C2×#394C2×C1112yescomplemented
198C2×#390C2×C1111yescharacteristic, complemented
199C2×#389C2×C1111yescharacteristic, complemented
200C2×#386C2×C1112yescomplemented
201C2×#382C2×C1111yescharacteristic, complemented
202C2×#381C2×C1112yescomplemented
203C2×#380C2×C1111yescharacteristic, complemented
204C2×C4×C22⋊C4C2×C1111yescharacteristic, complemented
205C23×C11—216no—
206C23×C11—28no—
207C23×C11—216no—
208C23×C11—28no—
209C23×C11—216no—
210C23×C11—28no—
211C23×C11—22no—
212C23×C11—22no—
213C23×C11—22no—
214C23×C11—24no—
215C23×C11—22no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—22no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—22no—
223C23×C11—44no—
224C23×C11—48no—
225C23×C11—44no—
226C23×C11—48no—
227C23×C11—44no—
228C23×C11—48no—
229C23×C11—44no—
230C23×C11—48no—
231C23×C11C22×D418yes—
232C23×C11C22×D412yes—
233C23×C11C2×#4114yes—
234C23×C11C2×#4112yes—
235C23×C11C2×#4112yes—
236C23×C11C2×#4112yes—
237C23×C11C2×#4112yes—
238C23×C11H(5,𝔽2)12yes—
239C23×C11H(5,𝔽2)12yes—
240C23×C11C2511yescharacteristic
241D4×C11—232no—
242D4×C11—432no—
243C2×C4×C11—28no—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—22no—
247C2×C4×C11—22no—
248C2×C4×C11—24no—
249C2×C4×C11—24no—
250C2×C4×C11—22no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—24no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—24no—
259C2×C4×C11—24no—
260C2×C4×C11—24no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—24no—
264C2×C4×C11—24no—
265C2×C4×C11—22no—
266C2×C4×C11—24no—
267C2×C4×C11—432no—
268C2×C4×C11—44no—
269C2×C4×C11—48no—
270C2×C4×C11—44no—
271C2×C4×C11—48no—
272C2×C4×C11—48no—
273C2×C4×C11—44no—
274C2×C4×C11—44no—
275C2×C4×C11—416no—
276C2×C4×C11#123116yes—
277C2×C4×C11C22×D414yes—
278C2×C4×C11C2×#4114yes—
279C2×C4×C11C2×#4114yes—
280C2×C4×C11C2×#4114yes—
281C23×D4C22×C1112yes—
282C23×D4C22×C1111yescharacteristic
283C24×C4C22×C1111yescharacteristic
284C24×C4C22×C1112yes—
285C2×#121—28no—
286C2×#121C22×C1118yes—
287C2×C4×D4—28no—
288C2×C4×D4C22×C1118yescomplemented
289C22×C4⋊C4C22×C1111yescharacteristic
290C22×C4⋊C4C22×C1111yescharacteristic
291C22×C4⋊C4C22×C1111yescharacteristic
292C22×C4⋊C4C22×C1112yes—
293C22×C22⋊C4C22×C1111yescharacteristic
294C22×C22⋊C4C22×C1112yes—
295C22×C22⋊C4C22×C1112yes—
296C22×C22⋊C4C22×C1111yescharacteristic
297C22×C22⋊C4C22×C1112yes—
298C22×C22⋊C4C22×C1112yes—
299C22×C22⋊C4C22×C1112yes—
300C22×C42C22×C1111yescharacteristic
301C22×C42C22×C1111yescharacteristic
302#397C22×C11116yescomplemented
303#394C22×C11116yescomplemented
304#390C22×C1118yescomplemented
305#389C22×C1118yescomplemented
306#386C22×C11116yescomplemented
307#382C22×C1118yescomplemented
308#381C22×C11116yescomplemented
309#380C22×C1118yescomplemented
310C4×C22⋊C4C22×C1118yescomplemented
311C2×#95C22×C1112yes—
312C2×#95C22×C1111yescharacteristic
313C2×#95C22×C1112yes—
314C2×#95C22×C1112yes—
315C2×#95C22×C1111yescharacteristic
316C2×#95C22×C1112yes—
317C22×C11—28no—
318C22×C11—24no—
319C22×C11—28no—
320C22×C11—24no—
321C22×C11—28no—
322C22×C11—24no—
323C22×C11—42no—
324C22×C11—44no—
325C22×C11—432no—
326C22×C11—416no—
327C22×C11—42no—
328C22×C11—44no—
329C22×C11—42no—
330C22×C11—44no—
331C22×C11—42no—
332C22×C11—44no—
333C22×C11C2×#12314yes—
334C22×C11#52914yes—
335C22×C11#54014yes—
336C22×C11#54614yes—
337C22×C11#54614yes—
338C22×C11#55314yes—
339C22×C11#55514yes—
340C22×C11C23×D411yescharacteristic
341C22×C11C22×#4111yescharacteristic
342C22×C11C22×#4111yescharacteristic
343C22×C11C22×#4111yescharacteristic
344C22×C11C22×#4111yescharacteristic
345C22×C11C2×H(5,𝔽2)11yescharacteristic
346C22×C11C2×H(5,𝔽2)11yescharacteristic
347C4×C11—24no—
348C4×C11—42no—
349C4×C11—44no—
350C4×C11—42no—
351C4×C11—44no—
352C4×C11—44no—
353C4×C11—42no—
354C4×C11—42no—
355C4×C11C2×#12318yes—
356C25C23×C1112yes—
357C25C23×C1111yescharacteristic
358C22×D4—28no—
359C22×D4—28no—
360C22×D4—24no—
361C22×D4—24no—
362C22×D4—44no—
363C22×D4D4×C1118yes—
364C22×D4C23×C1118yes—
365C22×D4C23×C1114yes—
366C23×C4—28no—
367C23×C4—24no—
368C23×C4—28no—
369C23×C4—24no—
370C23×C4—24no—
371C23×C4—44no—
372C23×C4C23×C1112yes—
373C23×C4C23×C1111yescharacteristic
374C23×C4C23×C1111yescharacteristic
375C23×C4C23×C1111yescharacteristic
376C23×C4C23×C1112yes—
377C23×C4C23×C1111yescharacteristic
378C23×C4C23×C1112yes—
379C23×C4C23×C1114yes—
380C23×C4C23×C1118yes—
381C23×C4C23×C1111yescharacteristic
382C23×C4C23×C1111yescharacteristic
383#121—232no—
384C4×D4—232no—
385C2×C4⋊C4—24no—
386C2×C4⋊C4—24no—
387C2×C4⋊C4—24no—
388C2×C4⋊C4—44no—
389C2×C4⋊C4C23×C1114yes—
390C2×C4⋊C4C23×C1114yes—
391C2×C4⋊C4C23×C1114yes—
392C2×C4⋊C4C23×C1118yes—
393C2×C22⋊C4—28no—
394C2×C22⋊C4—28no—
395C2×C22⋊C4—24no—
396C2×C22⋊C4—24no—
397C2×C22⋊C4—44no—
398C2×C22⋊C4—44no—
399C2×C22⋊C4—44no—
400C2×C22⋊C4C23×C1118yes—
401C2×C22⋊C4C23×C1118yes—
402C2×C22⋊C4C23×C1114yes—
403C2×C22⋊C4C23×C1114yes—
404C2×C22⋊C4C23×C1118yes—
405C2×C22⋊C4C23×C1118yes—
406C2×C22⋊C4C23×C1118yes—
407C2×C42—24no—
408C2×C42—24no—
409C2×C42C23×C1114yes—
410C2×C42C23×C1114yes—
411#95C23×C1114yes—
412#95C23×C1114yes—
413#95C23×C1118yes—
414#95C23×C1118yes—
415#95C23×C1118yes—
416#95C23×C1118yes—
417C2×C11—48no—
418C2×C11—44no—
419C2×C11#242018yesdirect product factor
420C2×C11C22×#12311yescharacteristic
421C2×C11C2×#52911yescharacteristic
422C2×C11C2×#54011yescharacteristic
423C2×C11C2×#54611yescharacteristic
424C2×C11C2×#54611yescharacteristic
425C2×C11C2×#55311yescharacteristic
426C2×C11C2×#55511yescharacteristic
427C24—22no—
428C24—22no—
429C24—22no—
430C24—24no—
431C24—22no—
432C24—24no—
433C24—24no—
434C24—24no—
435C24—22no—
436C24—24no—
437C24—24no—
438C24—22no—
439C24C2×D4×C1118yes—
440C24C11×#4114yes—
441C24C24×C1114yes—
442C24C24×C1112yes—
443C24C24×C1111yescharacteristic
444C2×D4—216no—
445C2×D4—216no—
446C2×D4—232no—
447C2×D4—28no—
448C2×D4—28no—
449C2×D4—48no—
450C2×D4—432no—
451C2×D4C2×D4×C11116yes—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—216no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—28no—
477C22×C4—216no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—48no—
481C22×C4—432no—
482C22×C4—416no—
483C22×C4C2×D4×C1114yes—
484C22×C4C11×#4114yes—
485C22×C4C11×#4114yes—
486C22×C4C11×#4114yes—
487C22×C4C24×C1112yes—
488C22×C4C24×C1112yes—
489C22×C4C24×C1112yes—
490C22×C4C24×C1114yes—
491C22×C4C24×C1114yes—
492C22×C4C24×C1114yes—
493C22×C4C24×C1112yes—
494C22×C4C24×C1112yes—
495C22×C4C24×C1112yes—
496C4⋊C4—28no—
497C4⋊C4—28no—
498C4⋊C4—28no—
499C4⋊C4—48no—
500C22⋊C4—216no—
501C22⋊C4—216no—
502C22⋊C4—28no—
503C22⋊C4—28no—
504C22⋊C4—48no—
505C22⋊C4—48no—
506C22⋊C4—48no—
507C42—28no—
508C42—28no—
509C11C2×#242011yescharacteristic, direct product factor, Sylow
510C23—216no—
511C23—28no—
512C23—216no—
513C23—28no—
514C23—216no—
515C23—28no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—24no—
520C23—22no—
521C23—24no—
522C23—24no—
523C23—24no—
524C23—22no—
525C23—24no—
526C23—24no—
527C23—22no—
528C23—44no—
529C23—48no—
530C23—44no—
531C23—48no—
532C23—44no—
533C23—48no—
534C23—44no—
535C23—48no—
536C23C22×D4×C1118yes—
537C23C22×D4×C1112yes—
538C23C2×C11×#4114yes—
539C23C2×C11×#4112yes—
540C23C2×C11×#4112yes—
541C23C2×C11×#4112yes—
542C23C2×C11×#4112yes—
543C23C11×H(5,𝔽2)12yes—
544C23C11×H(5,𝔽2)12yes—
545C23C25×C1111yescharacteristic
546D4—232no—
547D4—432no—
548C2×C4—28no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—24no—
554C2×C4—24no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—24no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—432no—
573C2×C4—44no—
574C2×C4—48no—
575C2×C4—44no—
576C2×C4—48no—
577C2×C4—48no—
578C2×C4—44no—
579C2×C4—44no—
580C2×C4—416no—
581C2×C4C11×#123116yes—
582C2×C4C22×D4×C1114yes—
583C2×C4C2×C11×#4114yes—
584C2×C4C2×C11×#4114yes—
585C2×C4C2×C11×#4114yes—
586C22—28no—
587C22—24no—
588C22—28no—
589C22—24no—
590C22—28no—
591C22—24no—
592C22—42no—
593C22—44no—
594C22—432no—
595C22—416no—
596C22—42no—
597C22—44no—
598C22—42no—
599C22—44no—
600C22—42no—
601C22—44no—
602C22C2×C11×#12314yes—
603C22C11×#52914yes—
604C22C11×#54014yes—
605C22C11×#54614yes—
606C22C11×#54614yes—
607C22C11×#55314yes—
608C22C11×#55514yes—
609C22C23×D4×C1111yescharacteristic
610C22C22×C11×#4111yescharacteristic
611C22C22×C11×#4111yescharacteristic
612C22C22×C11×#4111yescharacteristic
613C22C22×C11×#4111yescharacteristic
614C22C2×C11×H(5,𝔽2)11yescharacteristic
615C22C2×C11×H(5,𝔽2)11yescharacteristic
616C4—24no—
617C4—42no—
618C4—44no—
619C4—44no—
620C4—44no—
621C4—42no—
622C4—42no—
623C4—42no—
624C4C2×C11×#12318yes—
625C2—48no—
626C2—44no—
627C2C11×#242018yesdirect product factor
628C2C22×C11×#12311yescharacteristic
629C2C2×C11×#52911yescharacteristic
630C2C2×C11×#54011yescharacteristic
631C2C2×C11×#54611yescharacteristic
632C2C2×C11×#54611yescharacteristic
633C2C2×C11×#55311yescharacteristic
634C2C2×C11×#55511yescharacteristic
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
2. C22×C4×D4×C11C2semidirect
3. C11×#2420C2direct (N × H)
4. C2×C11×#397C2semidirect
5. C2×C11×#394C2semidirect
6. C2×C11×#390C2semidirect
7. C2×C11×#389C2semidirect
8. C2×C11×#386C2semidirect
9. C2×C11×#382C2semidirect
10. C2×C11×#381C2semidirect
11. C2×C11×#380C2semidirect
12. C2×C4×C11×C22⋊C4C2semidirect
20. C2×C4×D4×C11C22semidirect
34. C11×#397C22semidirect
35. C11×#394C22semidirect
36. C11×#390C22semidirect
37. C11×#389C22semidirect
38. C11×#386C22semidirect
39. C11×#382C22semidirect
40. C11×#381C22semidirect
41. C11×#380C22semidirect
42. C4×C11×C22⋊C4C22semidirect
110. C2×#2420C11direct (N × H)
194. C22×C4×D4C2×C11semidirect
195. #2420C2×C11direct (N × H)
196. C2×#397C2×C11semidirect
197. C2×#394C2×C11semidirect
198. C2×#390C2×C11semidirect
199. C2×#389C2×C11semidirect
200. C2×#386C2×C11semidirect
201. C2×#382C2×C11semidirect
202. C2×#381C2×C11semidirect
203. C2×#380C2×C11semidirect
204. C2×C4×C22⋊C4C2×C11semidirect
288. C2×C4×D4C22×C11semidirect
302. #397C22×C11semidirect
303. #394C22×C11semidirect
304. #390C22×C11semidirect
305. #389C22×C11semidirect
306. #386C22×C11semidirect
307. #382C22×C11semidirect
308. #381C22×C11semidirect
309. #380C22×C11semidirect
310. C4×C22⋊C4C22×C11semidirect
419. C2×C11#2420direct (N × H)
509. C11C2×#2420direct (N × H)
627. C2C11×#2420direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×#1212
C22×C4×D4×C112
C11×#24202
C2×C11×#3972
C2×C11×#3942
C2×C11×#3902
C2×C11×#3892
C2×C11×#3862
C2×C11×#3822
C2×C11×#3812
C2×C11×#3802
C2×C4×C11×C22⋊C42
C2×#242011