Finite Group Databasebeta

← C2×D11×#389 #14912116

Subgroups — C2×D11×#389 #14912116

Order 2816.

4894 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D11C211yesmaximal, characteristic
2C22×C4⋊C4×D11C212yesmaximal
3C22×C4⋊C4×D11C211yesmaximal, characteristic
4C22×C42×D11C211yesmaximal, characteristic
5C2×#10622598C211yesmaximal, characteristic, complemented
6C2×#10622541C211yesmaximal, characteristic, complemented
7C2×#10622260C212yesmaximal, complemented
8C2×#10622586C211yesmaximal, characteristic, complemented
9C2×#10622585C212yesmaximal, complemented
10D11×#389C2116yesmaximal, direct product factor
11C2×D11×#95C212yesmaximal
12C2×C11×#389C211yesmaximal, characteristic, complemented
13C23×C4×D11C2212yes—
14C23×C4×D11C2212yes—
15C23×C4×D11C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C23×C4×D11C2211yescharacteristic
18C22×C11×C4⋊C4C2212yes—
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C42×C11C2211yescharacteristic
22C22×C4⋊Dic11C2212yes—
23C22×C4⋊Dic11C2211yescharacteristic
24C22×C4⋊Dic11C2211yescharacteristic
25C22×Dic11⋊C4C2212yes—
26C22×Dic11⋊C4C2212yes—
27C22×Dic11⋊C4C2212yes—
28C22×Dic11⋊C4C2212yes—
29C22×C4×Dic11C2211yescharacteristic
30C22×C4×Dic11C2211yescharacteristic
31C22×C4×Dic11C2211yescharacteristic
32C2×C4⋊C4×D11—216no—
33C2×C4⋊C4×D11—28no—
34C2×C4⋊C4×D11C4116yescomplemented
35C2×C4⋊C4×D11C2218yes—
36C2×C4⋊C4×D11C22116yes—
37C2×C4⋊C4×D11C2218yes—
38C2×C42×D11—28no—
39C2×C42×D11C2218yes—
40C11×#389C2218yescomplemented
41C2×C11×#95C2212yes—
42C2×C11⋊#95C2212yes—
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45#10622598C2218yescomplemented
46#10622586C2218yescomplemented
47#10622585C22116yescomplemented
48#10622541C2218yescomplemented
49D11×#95C22116yes—
50#10622260C22116yescomplemented
51C24×D11C2311yescharacteristic
52C23×C4×C11C2312yes—
53C23×C4×C11C2312yes—
54C23×C4×C11C2311yescharacteristic
55C23×C4×C11C2311yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C23×Dic11C2312yes—
58C23×Dic11C2312yes—
59C23×Dic11C2311yescharacteristic
60C23×Dic11C2311yescharacteristic
61C23×Dic11C2311yescharacteristic
62C22×C4×D11—24no—
63C22×C4×D11—24no—
64C22×C4×D11—28no—
65C22×C4×D11—28no—
66C22×C4×D11—24no—
67C22×C4×D11—24no—
68C22×C4×D11—28no—
69C22×C4×D11—28no—
70C22×C4×D11—28no—
71C22×C4×D11C2×C4116yes—
72C22×C4×D11C2×C418yes—
73C22×C4×D11D418yes—
74C22×C4×D11D418yes—
75C22×C4×D11Q818yes—
76C22×C4×D11Q818yes—
77C22×C4×D11C2318yes—
78C22×C4×D11C2318yes—
79C22×C4×D11C2314yes—
80C22×C4×D11C2314yes—
81C22×C4×D11C2314yes—
82C2×C11×C4⋊C4—28no—
83C2×C11×C4⋊C4—24no—
84C2×C11×C4⋊C4C2×C418yescomplemented
85C2×C11×C4⋊C4C2318yes—
86C2×C11×C4⋊C4C2314yes—
87C2×C11×C4⋊C4C2314yes—
88C2×C42×C11—24no—
89C2×C42×C11C2314yes—
90C2×C4⋊Dic11—24no—
91C2×C4⋊Dic11—28no—
92C2×C4⋊Dic11C2×C418yescomplemented
93C2×C4⋊Dic11C2318yes—
94C2×C4⋊Dic11C2314yes—
95C2×C4⋊Dic11C2314yes—
96C2×Dic11⋊C4—28no—
97C2×Dic11⋊C4—28no—
98C2×Dic11⋊C4—28no—
99C2×Dic11⋊C4C2×C4116yescomplemented
100C2×Dic11⋊C4C2318yes—
101C2×Dic11⋊C4C2318yes—
102C2×Dic11⋊C4C2318yes—
103C2×Dic11⋊C4C2318yes—
104C2×C4×Dic11—24no—
105C2×C4×Dic11—24no—
106C2×C4×Dic11—24no—
107C2×C4×Dic11C2314yes—
108C2×C4×Dic11C2314yes—
109C2×C4×Dic11C2314yes—
110C4⋊C4×D11—232no—
111C4⋊C4×D11—264no—
112C4⋊C4×D11C2×C4164yescomplemented
113C42×D11—232no—
114C11×#95C2318yes—
115C11⋊#95C2318yes—
116C11⋊#95C2318yes—
117C11⋊#95C2318yes—
118C22×#389—111nomaximal, Sylow
119C24×C11C2411yescharacteristic
120C23×D11C22×C414yes—
121C23×D11C2×D414yes—
122C23×D11C2×D414yes—
123C23×D11C2×Q814yes—
124C23×D11C2×Q814yes—
125C23×D11#4114yes—
126C23×D11#4114yes—
127C23×D11C2412yes—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—24no—
131C22×C4×C11—24no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—24no—
135C22×C4×C11—24no—
136C22×C4×C11—24no—
137C22×C4×C11C22×C418yes—
138C22×C4×C11C22×C414yes—
139C22×C4×C11C2×D414yes—
140C22×C4×C11C2×D414yes—
141C22×C4×C11C2×Q814yes—
142C22×C4×C11C2×Q814yes—
143C22×C4×C11C2414yes—
144C22×C4×C11C2414yes—
145C22×C4×C11C2412yes—
146C22×C4×C11C2412yes—
147C22×C4×C11C2412yes—
148C22×Dic11—22no—
149C22×Dic11—22no—
150C22×Dic11—24no—
151C22×Dic11—24no—
152C22×Dic11—24no—
153C22×Dic11—24no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—24no—
157C22×Dic11C22×C418yes—
158C22×Dic11C22×C414yes—
159C22×Dic11C2×D414yes—
160C22×Dic11C2×D414yes—
161C22×Dic11C2×Q814yes—
162C22×Dic11C2×Q814yes—
163C22×Dic11C2414yes—
164C22×Dic11C2414yes—
165C22×Dic11C2412yes—
166C22×Dic11C2412yes—
167C22×Dic11C2412yes—
168C2×C4×D11—264no—
169C2×C4×D11—232no—
170C2×C4×D11—232no—
171C2×C4×D11—28no—
172C2×C4×D11—28no—
173C2×C4×D11—216no—
174C2×C4×D11—216no—
175C2×C4×D11—216no—
176C2×C4×D11—216no—
177C2×C4×D11—28no—
178C2×C4×D11—28no—
179C2×C4×D11—216no—
180C2×C4×D11—432no—
181C2×C4×D11C4⋊C4164yescomplemented
182C2×C4×D11C22×C4132yes—
183C2×C4×D11C22×C4116yes—
184C2×C4×D11C2×D4116yes—
185C2×C4×D11C2×D4116yes—
186C2×C4×D11C2×Q8116yes—
187C2×C4×D11C2×Q8116yes—
188C11×C4⋊C4—216no—
189C11×C4⋊C4—28no—
190C11×C4⋊C4C22×C4116yescomplemented
191C42×C11—28no—
192C4⋊Dic11—216no—
193C4⋊Dic11—28no—
194C4⋊Dic11C22×C4116yescomplemented
195Dic11⋊C4—216no—
196Dic11⋊C4—216no—
197Dic11⋊C4—216no—
198Dic11⋊C4C22×C4132yescomplemented
199C4×Dic11—28no—
200C4×Dic11—28no—
201C4×Dic11—28no—
202C23×C4⋊C4—111no—
203C23×C4⋊C4—111no—
204C23×C4⋊C4—112no—
205C23×C42—111no—
206C2×#389—111no—
207C2×#389—1116no—
208C2×#389—112no—
209C2×#389—112no—
210C2×#389—111no—
211C2×#389—111no—
212C2×#389D1111yescharacteristic, direct product factor
213C22×#95—112no—
214C23×C11C23×C412yes—
215C23×C11C22×D412yes—
216C23×C11C22×D412yes—
217C23×C11C22×Q812yes—
218C23×C11C22×Q812yes—
219C23×C11C2×#4112yes—
220C23×C11C2×#4112yes—
221C23×C11C2511yescharacteristic
222C22×D11C2×C4⋊C4116yes—
223C22×D11C4×D4116yes—
224C22×D11C4×Q8116yes—
225C22×D11#121116yes—
226C22×D11C22⋊Q8116yes—
227C22×D11#125116yes—
228C22×D11C4⋊Q8116yes—
229C22×D11C23×C414yes—
230C22×D11C22×D414yes—
231C22×D11C22×D414yes—
232C22×D11C22×Q814yes—
233C22×D11C22×Q814yes—
234C22×D11C2×#4114yes—
235C22×D11C2×#4114yes—
236C2×C4×C11—216no—
237C2×C4×C11—28no—
238C2×C4×C11—28no—
239C2×C4×C11—22no—
240C2×C4×C11—22no—
241C2×C4×C11—24no—
242C2×C4×C11—24no—
243C2×C4×C11—22no—
244C2×C4×C11—22no—
245C2×C4×C11—24no—
246C2×C4×C11—24no—
247C2×C4×C11—24no—
248C2×C4×C11—48no—
249C2×C4×C11C2×C4⋊C4116yescomplemented
250C2×C4×C11C23×C418yes—
251C2×C4×C11C23×C414yes—
252C2×C4×C11C22×D414yes—
253C2×C4×C11C22×D414yes—
254C2×C4×C11C22×Q814yes—
255C2×C4×C11C22×Q814yes—
256C2×Dic11—216no—
257C2×Dic11—28no—
258C2×Dic11—28no—
259C2×Dic11—22no—
260C2×Dic11—22no—
261C2×Dic11—24no—
262C2×Dic11—24no—
263C2×Dic11—22no—
264C2×Dic11—22no—
265C2×Dic11—24no—
266C2×Dic11—24no—
267C2×Dic11—24no—
268C2×Dic11—48no—
269C2×Dic11C2×C4⋊C4116yescomplemented
270C2×Dic11C23×C418yes—
271C2×Dic11C23×C414yes—
272C2×Dic11C22×D414yes—
273C2×Dic11C22×D414yes—
274C2×Dic11C22×Q814yes—
275C2×Dic11C22×Q814yes—
276C4×D11—264no—
277C4×D11—232no—
278C4×D11—232no—
279C4×D11—432no—
280C4×D11C2×C4⋊C4164yescomplemented
281C24×C4—111no—
282C24×C4—111no—
283C24×C4—111no—
284C24×C4—112no—
285C24×C4—112no—
286C22×C4⋊C4—112no—
287C22×C4⋊C4—111no—
288C22×C4⋊C4—118no—
289C22×C4⋊C4—1116no—
290C22×C4⋊C4—112no—
291C22×C4⋊C4—112no—
292C22×C4⋊C4—112no—
293C22×C4⋊C4—112no—
294C22×C4⋊C4—111no—
295C22×C4⋊C4—118no—
296C22×C4⋊C4—1116no—
297C22×C4⋊C4—228no—
298C22×C4⋊C4—2216no—
299C22×C4⋊C4C2×D1111yescharacteristic
300C22×C4⋊C4C2×D1112yes—
301C22×C4⋊C4C2×D1111yescharacteristic
302C22×C42—111no—
303C22×C42—111no—
304C22×C42—111no—
305C22×C42—118no—
306C22×C42—228no—
307C22×C42C2×D1111yescharacteristic
308#389—1116no—
309#389—118no—
310#389—118no—
311#389—118no—
312#389—1116no—
313#389C2×D1118yesdirect product factor
314C2×#95—112no—
315C2×#95—112no—
316C2×#95—112no—
317C2×#95—1116no—
318C2×#95C2×D1112yes—
319C22×C11C22×C4⋊C414yes—
320C22×C11C2×C4×D414yes—
321C22×C11C2×C4×Q814yes—
322C22×C11C2×#12114yes—
323C22×C11C2×C22⋊Q814yes—
324C22×C11C2×#12514yes—
325C22×C11C2×C4⋊Q814yes—
326C22×C11C24×C411yescharacteristic
327C22×C11C23×D411yescharacteristic
328C22×C11C23×D411yescharacteristic
329C22×C11C23×Q811yescharacteristic
330C22×C11C23×Q811yescharacteristic
331C22×C11C22×#4111yescharacteristic
332C22×C11C22×#4111yescharacteristic
333C2×D11#389164yesdirect product factor
334C2×D11C22×C4⋊C418yes—
335C2×D11C2×C4×D418yes—
336C2×D11C2×C4×Q818yes—
337C2×D11C2×#12118yes—
338C2×D11C2×C22⋊Q818yes—
339C2×D11C2×#12518yes—
340C2×D11C2×C4⋊Q818yes—
341C4×C11—28no—
342C4×C11—24no—
343C4×C11—24no—
344C4×C11—44no—
345C4×C11C22×C4⋊C418yescomplemented
346Dic11—28no—
347Dic11—24no—
348Dic11—24no—
349Dic11—44no—
350Dic11C22×C4⋊C418yescomplemented
351C25—111no—
352C23×C4—111no—
353C23×C4—118no—
354C23×C4—118no—
355C23×C4—118no—
356C23×C4—114no—
357C23×C4—112no—
358C23×C4—111no—
359C23×C4—111no—
360C23×C4—1116no—
361C23×C4—118no—
362C23×C4—118no—
363C23×C4—118no—
364C23×C4—114no—
365C23×C4—114no—
366C23×C4—112no—
367C23×C4—118no—
368C23×C4—228no—
369C23×C4—224no—
370C23×C4—224no—
371C23×C4—228no—
372C23×C4—224no—
373C23×C4—224no—
374C23×C4—228no—
375C23×C4—228no—
376C23×C4—228no—
377C23×C4C22×D1112yes—
378C23×C4C22×D1112yes—
379C23×C4C22×D1111yescharacteristic
380C23×C4C22×D1111yescharacteristic
381C23×C4C22×D1111yescharacteristic
382C2×C4⋊C4—28no—
383C2×C4⋊C4—24no—
384C2×C4⋊C4—1116no—
385C2×C4⋊C4—118no—
386C2×C4⋊C4—118no—
387C2×C4⋊C4—114no—
388C2×C4⋊C4—1164no—
389C2×C4⋊C4—118no—
390C2×C4⋊C4—118no—
391C2×C4⋊C4—118no—
392C2×C4⋊C4—118no—
393C2×C4⋊C4—114no—
394C2×C4⋊C4—2232no—
395C2×C4⋊C4—2264no—
396C2×C4⋊C4—228no—
397C2×C4⋊C4—228no—
398C2×C4⋊C4—228no—
399C2×C4⋊C4—228no—
400C2×C4⋊C4—224no—
401C2×C4⋊C4C4×D1118yescomplemented
402C2×C4⋊C4C22×D1114yes—
403C2×C4⋊C4C22×D1118yes—
404C2×C4⋊C4C22×D1114yes—
405C2×C42—24no—
406C2×C42—114no—
407C2×C42—114no—
408C2×C42—114no—
409C2×C42—2232no—
410C2×C42—224no—
411C2×C42—224no—
412C2×C42—224no—
413C2×C42C22×D1114yes—
414#95—118no—
415#95—118no—
416#95—118no—
417#95C22×D1118yes—
418C2×C11C2×#38918yescomplemented
419C2×C11C23×C4⋊C411yescharacteristic
420C2×C11C22×C4×D411yescharacteristic
421C2×C11C22×C4×Q811yescharacteristic
422C2×C11C22×#12111yescharacteristic
423C2×C11C22×C22⋊Q811yescharacteristic
424C2×C11C22×#12511yescharacteristic
425C2×C11C22×C4⋊Q811yescharacteristic
426D11C2×#389116yesdirect product factor
427C24—114no—
428C24—114no—
429C24—114no—
430C24—114no—
431C24—114no—
432C24—114no—
433C24—114no—
434C24—112no—
435C24C23×D1111yescharacteristic
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—114no—
446C22×C4—114no—
447C22×C4—114no—
448C22×C4—112no—
449C22×C4—1164no—
450C22×C4—1116no—
451C22×C4—1116no—
452C22×C4—1116no—
453C22×C4—118no—
454C22×C4—114no—
455C22×C4—114no—
456C22×C4—112no—
457C22×C4—114no—
458C22×C4—112no—
459C22×C4—1132no—
460C22×C4—1116no—
461C22×C4—1116no—
462C22×C4—114no—
463C22×C4—228no—
464C22×C4—228no—
465C22×C4—2216no—
466C22×C4—2264no—
467C22×C4—2232no—
468C22×C4—2232no—
469C22×C4—2216no—
470C22×C4—228no—
471C22×C4—228no—
472C22×C4—2216no—
473C22×C4—2216no—
474C22×C4—2216no—
475C22×C4—222no—
476C22×C4—222no—
477C22×C4—224no—
478C22×C4—224no—
479C22×C4—222no—
480C22×C4—222no—
481C22×C4—224no—
482C22×C4—224no—
483C22×C4—224no—
484C22×C4—4432no—
485C22×C4C2×C4×D1118yes—
486C22×C4C2×C4×D1114yes—
487C22×C4D4×D1114yes—
488C22×C4D4×D1114yes—
489C22×C4Q8×D1114yes—
490C22×C4Q8×D1114yes—
491C22×C4C23×D1114yes—
492C22×C4C23×D1114yes—
493C22×C4C23×D1112yes—
494C22×C4C23×D1112yes—
495C22×C4C23×D1112yes—
496C4⋊C4—216no—
497C4⋊C4—28no—
498C4⋊C4—1132no—
499C4⋊C4—1116no—
500C4⋊C4—2216no—
501C4⋊C4—2216no—
502C4⋊C4—2216no—
503C4⋊C4—2216no—
504C4⋊C4—228no—
505C4⋊C4C2×C4×D11116yescomplemented
506C42—28no—
507C42—228no—
508C42—228no—
509C42—228no—
510C11C22×#38911yescharacteristic, complemented, Sylow
511C23—1116no—
512C23—1116no—
513C23—1116no—
514C23—1116no—
515C23—1116no—
516C23—1116no—
517C23—114no—
518C23—114no—
519C23—114no—
520C23—114no—
521C23—114no—
522C23—114no—
523C23—114no—
524C23—1116no—
525C23C22×C4×D1112yes—
526C23C2×D4×D1112yes—
527C23C2×D4×D1112yes—
528C23C2×Q8×D1112yes—
529C23C2×Q8×D1112yes—
530C23#41×D1112yes—
531C23#41×D1112yes—
532C23C24×D1111yescharacteristic
533C2×C4—216no—
534C2×C4—28no—
535C2×C4—28no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—24no—
539C2×C4—24no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—48no—
546C2×C4—1116no—
547C2×C4—114no—
548C2×C4—114no—
549C2×C4—114no—
550C2×C4—1164no—
551C2×C4—118no—
552C2×C4—114no—
553C2×C4—114no—
554C2×C4—2264no—
555C2×C4—2232no—
556C2×C4—2232no—
557C2×C4—2216no—
558C2×C4—228no—
559C2×C4—228no—
560C2×C4—222no—
561C2×C4—222no—
562C2×C4—224no—
563C2×C4—224no—
564C2×C4—222no—
565C2×C4—222no—
566C2×C4—224no—
567C2×C4—224no—
568C2×C4—224no—
569C2×C4—4432no—
570C2×C4—448no—
571C2×C4C4⋊C4×D11116yescomplemented
572C2×C4C22×C4×D1118yes—
573C2×C4C22×C4×D1114yes—
574C2×C4C2×D4×D1114yes—
575C2×C4C2×D4×D1114yes—
576C2×C4C2×Q8×D1114yes—
577C2×C4C2×Q8×D1114yes—
578C22—118no—
579C22—118no—
580C22—118no—
581C22—118no—
582C22—118no—
583C22—1164no—
584C22—118no—
585C22—118no—
586C22C2×C4⋊C4×D1114yes—
587C22C4×D4×D1114yes—
588C22C4×Q8×D1114yes—
589C22D11×#12114yes—
590C22D11×C22⋊Q814yes—
591C22D11×#12514yes—
592C22D11×C4⋊Q814yes—
593C22C23×C4×D1111yescharacteristic
594C22C22×D4×D1111yescharacteristic
595C22C22×D4×D1111yescharacteristic
596C22C22×Q8×D1111yescharacteristic
597C22C22×Q8×D1111yescharacteristic
598C22C2×#41×D1111yescharacteristic
599C22C2×#41×D1111yescharacteristic
600C4—28no—
601C4—24no—
602C4—24no—
603C4—44no—
604C4—118no—
605C4—228no—
606C4—224no—
607C4—224no—
608C4—444no—
609C4C2×C4⋊C4×D1118yescomplemented
610C2—1116no—
611C2D11×#38918yesdirect product factor
612C2C22×C4⋊C4×D1111yescharacteristic
613C2C2×C4×D4×D1111yescharacteristic
614C2C2×C4×Q8×D1111yescharacteristic
615C2C2×D11×#12111yescharacteristic
616C2C2×D11×C22⋊Q811yescharacteristic
617C2C2×D11×#12511yescharacteristic
618C2C2×D11×C4⋊Q811yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C11×#389C2
socleC24×C11C24
prime radicalC24×D11C23
cosocleC23×C11C25
hypercenterC2×#389D11
hypocenterC11C22×#389
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
5. C2×#10622598C2semidirect
6. C2×#10622541C2semidirect
7. C2×#10622260C2semidirect
8. C2×#10622586C2semidirect
9. C2×#10622585C2semidirect
10. D11×#389C2direct (N × H)
12. C2×C11×#389C2semidirect
34. C2×C4⋊C4×D11C4semidirect
40. C11×#389C22semidirect
45. #10622598C22semidirect
46. #10622586C22semidirect
47. #10622585C22semidirect
48. #10622541C22semidirect
50. #10622260C22semidirect
84. C2×C11×C4⋊C4C2×C4semidirect
92. C2×C4⋊Dic11C2×C4semidirect
99. C2×Dic11⋊C4C2×C4semidirect
112. C4⋊C4×D11C2×C4semidirect
181. C2×C4×D11C4⋊C4semidirect
190. C11×C4⋊C4C22×C4semidirect
194. C4⋊Dic11C22×C4semidirect
198. Dic11⋊C4C22×C4semidirect
212. C2×#389D11direct (N × H)
249. C2×C4×C11C2×C4⋊C4semidirect
269. C2×Dic11C2×C4⋊C4semidirect
280. C4×D11C2×C4⋊C4semidirect
313. #389C2×D11direct (N × H)
333. C2×D11#389direct (N × H)
345. C4×C11C22×C4⋊C4semidirect
350. Dic11C22×C4⋊C4semidirect
401. C2×C4⋊C4C4×D11semidirect
418. C2×C11C2×#389semidirect
426. D11C2×#389direct (N × H)
505. C4⋊C4C2×C4×D11semidirect
510. C11C22×#389semidirect
571. C2×C4C4⋊C4×D11semidirect
609. C4C2×C4⋊C4×D11semidirect
611. C2D11×#389direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D112
C22×C42×D112
C2×#106225982
C2×#106225412
C2×#106222602
C2×#106225862
C2×#106225852
D11×#3892
C2×D11×#952
C2×C11×#3892
C22×#38911