Finite Group Databasebeta

← C2×#13072004 #14922398

Subgroups — C2×#13072004 #14922398

Order 2816.

4946 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66988C211yesmaximal, characteristic, complemented
2C22×#66990C211yesmaximal, characteristic
3C22×#66930C211yesmaximal, characteristic, complemented
4C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
5#13072004C2116yesmaximal, direct product factor
6C2×#10622289C212yesmaximal, complemented
7C2×#10622572C212yesmaximal, complemented
8C2×#10622570C212yesmaximal, complemented
9C2×#10622282C212yesmaximal, complemented
10C2×#10622823C211yesmaximal, characteristic, complemented
11C2×#10622568C211yesmaximal, characteristic, complemented
12C2×C11×#386C211yesmaximal, characteristic, complemented
13C25×D11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2212yes—
17C24×Dic11C2211yescharacteristic
18C22×C11×C22⋊C4C2211yescharacteristic
19C22×C11×C22⋊C4C2212yescomplemented
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C22×C22⋊Dic11C2211yescharacteristic, complemented
23C22×C22⋊Dic11C2211yescharacteristic, complemented
24C2×#66990—28no—
25C2×#66990C2218yes—
26C2×#66988—28no—
27C2×#66988C2218yescomplemented
28C22×(C2×D11)⋊C4—28no—
29C22×(C2×D11)⋊C4C2212yes—
30C22×(C2×D11)⋊C4C2212yes—
31C22×(C2×D11)⋊C4C2212yes—
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2218yescomplemented
35C22×Dic11⋊C4C2212yescomplemented
36C22×Dic11⋊C4C2211yescharacteristic, complemented
37C22×Dic11⋊C4C2211yescharacteristic, complemented
38C22×Dic11⋊C4C2212yescomplemented
39C22×C4×Dic11C2212yescomplemented
40C2×#66930—28no—
41C2×#66930C2218yescomplemented
42C11×#386C2218yescomplemented
43C2×C11×#95C2212yescomplemented
44#10622823C2218yescomplemented
45C2×C11⋊#95C2212yescomplemented
46#10622572C22116yescomplemented
47#10622570C22116yescomplemented
48#10622568C2218yescomplemented
49#10622289C22116yescomplemented
50#10622282C22116yescomplemented
51C25×C11C2311yescharacteristic
52C25×C11C2311yescharacteristic
53C24×D11—24no—
54C24×D11—28no—
55C24×D11—24no—
56C24×D11—24no—
57C24×D11—44no—
58C24×D11C2312yes—
59C24×D11C2314yes—
60C22×D4×C11—24no—
61C22×D4×C11—24no—
62C22×D4×C11—24no—
63C22×D4×C11C2314yes—
64C23×C4×C11—24no—
65C23×C4×C11—44no—
66C23×C4×C11C2312yes—
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2312yes—
69C23×C4×C11C2314yes—
70C22×C22⋊D11—28no—
71C22×C22⋊D11—28no—
72C22×C22⋊D11—44no—
73C22×C22⋊D11C2318yes—
74C23×Dic11—24no—
75C23×Dic11—24no—
76C23×Dic11D418yescomplemented
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2312yes—
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2314yes—
83C2×C11×C22⋊C4—24no—
84C2×C11×C22⋊C4—44no—
85C2×C11×C22⋊C4C2314yes—
86C2×C11×C22⋊C4C2318yescomplemented
87C2×C22⋊Dic11—24no—
88C2×C22⋊Dic11—24no—
89C2×C22⋊Dic11—24no—
90C2×C22⋊Dic11D418yes—
91C2×C22⋊Dic11C2314yes—
92C2×C22⋊Dic11C2314yes—
93C2×C22⋊Dic11C2314yescomplemented
94C2×C22⋊Dic11C2314yescomplemented
95#66990—232no—
96#66988—232no—
97C2×(C2×D11)⋊C4—28no—
98C2×(C2×D11)⋊C4—28no—
99C2×(C2×D11)⋊C4—28no—
100C2×(C2×D11)⋊C4—28no—
101C2×(C2×D11)⋊C4—232no—
102C2×(C2×D11)⋊C4—44no—
103C2×(C2×D11)⋊C4C2318yes—
104C2×(C2×D11)⋊C4C2318yes—
105C2×(C2×D11)⋊C4C2318yes—
106C2×(C2×D11)⋊C4C2318yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×Dic11⋊C4—28no—
109C2×Dic11⋊C4—24no—
110C2×Dic11⋊C4—24no—
111C2×Dic11⋊C4—44no—
112C2×Dic11⋊C4C2318yescomplemented
113C2×Dic11⋊C4C2314yescomplemented
114C2×Dic11⋊C4C2314yescomplemented
115C2×Dic11⋊C4C2318yescomplemented
116C2×C4×Dic11—28no—
117C2×C4×Dic11C2318yescomplemented
118#66930—232no—
119C11×#95C2318yescomplemented
120C11⋊#95C2318yescomplemented
121C2×#2411—111nomaximal, Sylow
122C24×C11—24no—
123C24×C11—24no—
124C24×C11—22no—
125C24×C11—22no—
126C24×C11—24no—
127C24×C11—22no—
128C24×C11—24no—
129C24×C11C2×D414yes—
130C24×C11C2×D414yes—
131C24×C11#4114yes—
132C24×C11C2412yes—
133C24×C11C2412yes—
134C24×C11C2411yescharacteristic
135C23×D11—232no—
136C23×D11—28no—
137C23×D11—24no—
138C23×D11—24no—
139C23×D11—24no—
140C23×D11—24no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11—216no—
144C23×D11—28no—
145C23×D11—28no—
146C23×D11—48no—
147C23×D11—432no—
148C23×D11—432no—
149C23×D11—416no—
150C23×D11—416no—
151C23×D11#4118yes—
152C23×D11C2414yes—
153C2×D4×C11—28no—
154C2×D4×C11—28no—
155C2×D4×C11—28no—
156C2×D4×C11—416no—
157C22×C4×C11—24no—
158C22×C4×C11—22no—
159C22×C4×C11—28no—
160C22×C4×C11—24no—
161C22×C4×C11—22no—
162C22×C4×C11—24no—
163C22×C4×C11—22no—
164C22×C4×C11—24no—
165C22×C4×C11—24no—
166C22×C4×C11—24no—
167C22×C4×C11—48no—
168C22×C4×C11—416no—
169C22×C4×C11C2414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2414yes—
172C2×C22⋊D11—216no—
173C2×C22⋊D11—216no—
174C2×C22⋊D11—48no—
175C2×C22⋊D11—432no—
176C22×Dic11—232no—
177C22×Dic11—28no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—28no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—24no—
189C22×Dic11C2×D418yes—
190C22×Dic11C2×D414yes—
191C22×Dic11C2×D414yes—
192C22×Dic11C2×D4116yescomplemented
193C22×Dic11C2412yes—
194C22×Dic11C2412yes—
195C22×Dic11C2414yes—
196C22×Dic11C2412yes—
197C22×Dic11C2412yes—
198C11×C22⋊C4—28no—
199C11×C22⋊C4—48no—
200C22⋊Dic11—28no—
201C22⋊Dic11—28no—
202C22⋊Dic11—28no—
203C22⋊Dic11C2×D4116yes—
204(C2×D11)⋊C4—216no—
205(C2×D11)⋊C4—216no—
206(C2×D11)⋊C4—216no—
207(C2×D11)⋊C4—216no—
208(C2×D11)⋊C4—48no—
209Dic11⋊C4—216no—
210Dic11⋊C4—28no—
211Dic11⋊C4—28no—
212Dic11⋊C4—48no—
213C4×Dic11—216no—
214C22×#123—111no—
215C22×#120—111no—
216C22×#117—111no—
217C23×C22⋊C4—111no—
218#2411—1116no—
219C2×#396—112no—
220C2×#394—112no—
221C2×#390—112no—
222C2×#388—112no—
223C2×#386D1111yescharacteristic, complemented
224C2×#385—111no—
225C2×#379—111no—
226C23×C11—28no—
227C23×C11—28no—
228C23×C11—216no—
229C23×C11—216no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—24no—
235C23×C11—22no—
236C23×C11—24no—
237C23×C11—44no—
238C23×C11—44no—
239C23×C11—44no—
240C23×C11—48no—
241C23×C11—48no—
242C23×C11#121116yes—
243C23×C11C22×D414yes—
244C23×C11C22×D414yes—
245C23×C11C22×D412yes—
246C23×C11C22×D412yes—
247C23×C11C2×#4114yes—
248C23×C11C2×#4112yes—
249C23×C11C2×#4114yes—
250C23×C11H(5,𝔽2)14yes—
251C23×C11C2511yescharacteristic
252C22×D11—232no—
253C22×D11—216no—
254C22×D11—216no—
255C22×D11—216no—
256C22×D11—24no—
257C22×D11—24no—
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—24no—
261C22×D11—24no—
262C22×D11—432no—
263C22×D11—432no—
264C22×D11—4128no—
265C22×D11—416no—
266C22×D11—416no—
267C22×D11—48no—
268C22×D11—48no—
269C22×D11—48no—
270C22×D11—48no—
271C22×D11C2×#4118yes—
272D4×C11—416no—
273C2×C4×C11—24no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—22no—
277C2×C4×C11—24no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—416no—
283C2×C4×C11—44no—
284C2×C4×C11—48no—
285C2×C4×C11—48no—
286C22⋊D11—432no—
287C2×Dic11—28no—
288C2×Dic11—28no—
289C2×Dic11—232no—
290C2×Dic11—216no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—44no—
302C2×Dic11—44no—
303C2×Dic11C22×D418yes—
304C2×Dic11C22×D414yes—
305C2×Dic11C22×D414yes—
306C26—111no—
307C23×D4—112no—
308C23×D4C2×D1111yescharacteristic
309C24×C4—111no—
310C24×C4C2×D1111yescharacteristic
311C2×#123—118no—
312C2×#123—228no—
313C2×#120—118no—
314C2×#120—228no—
315C2×#117—118no—
316C2×#117—228no—
317C22×C4⋊C4—112no—
318C22×C4⋊C4—111no—
319C22×C4⋊C4—111no—
320C22×C4⋊C4—112no—
321C22×C22⋊C4—111no—
322C22×C22⋊C4—111no—
323C22×C22⋊C4—111no—
324C22×C22⋊C4—111no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—112no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4—112no—
329C22×C22⋊C4—118no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—228no—
332C22×C22⋊C4C2×D1111yescharacteristic
333C22×C22⋊C4C2×D1112yescomplemented
334C22×C42—112no—
335#396—1116no—
336#394—1116no—
337#390—1116no—
338#388—1116no—
339#386C2×D1118yescomplemented
340#385—118no—
341#379—118no—
342C2×#95—112no—
343C2×#95C2×D1112yescomplemented
344C22×C11—232no—
345C22×C11—24no—
346C22×C11—24no—
347C22×C11—28no—
348C22×C11—28no—
349C22×C11—42no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11—44no—
353C22×C11—44no—
354C22×C11—88no—
355C22×C11C2×#12118yes—
356C22×C11C2×#12114yes—
357C22×C11#52514yes—
358C22×C11#53514yes—
359C22×C11#54618yes—
360C22×C11#55118yes—
361C22×C11C23×D411yescharacteristic
362C22×C11C23×D411yescharacteristic
363C22×C11C22×#4111yescharacteristic
364C22×C11C22×#4112yes—
365C22×C11C2×H(5,𝔽2)12yes—
366C2×D11—28no—
367C2×D11—28no—
368C2×D11—28no—
369C2×D11—464no—
370C2×D11—44no—
371C2×D11—432no—
372C2×D11—44no—
373C2×D11—44no—
374C2×D11—44no—
375C4×C11—42no—
376C4×C11—44no—
377C4×C11—44no—
378Dic11—24no—
379Dic11—24no—
380Dic11—28no—
381Dic11—42no—
382Dic11—42no—
383C25—112no—
384C25—114no—
385C25—228no—
386C25—224no—
387C25—224no—
388C25—224no—
389C25—444no—
390C25C22×D1111yescharacteristic
391C25C22×D1111yescharacteristic
392C22×D4—24no—
393C22×D4—24no—
394C22×D4—24no—
395C22×D4—118no—
396C22×D4—228no—
397C22×D4—228no—
398C22×D4—444no—
399C22×D4C22×D1114yes—
400C23×C4—24no—
401C23×C4—44no—
402C23×C4—118no—
403C23×C4—114no—
404C23×C4—111no—
405C23×C4—111no—
406C23×C4—112no—
407C23×C4—111no—
408C23×C4—111no—
409C23×C4—224no—
410C23×C4—224no—
411C23×C4C22×D1112yes—
412C23×C4C22×D1112yes—
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1114yes—
415#123—2232no—
416#120—2232no—
417#117—2232no—
418C2×C4⋊C4—118no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—114no—
421C2×C4⋊C4—118no—
422C2×C4⋊C4—228no—
423C2×C4⋊C4—224no—
424C2×C4⋊C4—224no—
425C2×C4⋊C4—444no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—44no—
428C2×C22⋊C4—118no—
429C2×C22⋊C4—114no—
430C2×C22⋊C4—114no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—114no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—118no—
436C2×C22⋊C4—118no—
437C2×C22⋊C4—118no—
438C2×C22⋊C4—228no—
439C2×C22⋊C4—228no—
440C2×C22⋊C4—2232no—
441C2×C22⋊C4—228no—
442C2×C22⋊C4—228no—
443C2×C22⋊C4—224no—
444C2×C22⋊C4—224no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—444no—
447C2×C22⋊C4C22×D1114yes—
448C2×C22⋊C4C22×D1118yescomplemented
449C2×C42—118no—
450C2×C42—228no—
451#95—118no—
452#95C22×D1118yescomplemented
453C2×C11—28no—
454C2×C11—82no—
455C2×C11#241118yescomplemented
456C2×C11C22×#12111yescharacteristic
457C2×C11C2×#52511yescharacteristic
458C2×C11C2×#53511yescharacteristic
459C2×C11C2×#54612yes—
460C2×C11C2×#55112yes—
461D11—48no—
462C24—24no—
463C24—24no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—24no—
468C24—24no—
469C24—118no—
470C24—114no—
471C24—2216no—
472C24—2232no—
473C24—224no—
474C24—228no—
475C24—224no—
476C24—224no—
477C24—224no—
478C24—224no—
479C24—224no—
480C24—228no—
481C24—228no—
482C24—448no—
483C24—4432no—
484C24—4432no—
485C24—4416no—
486C24—4416no—
487C24#433914yes—
488C24D4×D1114yes—
489C24D4×D1114yes—
490C24C23×D1112yes—
491C24C23×D1112yes—
492C24C23×D1111yescharacteristic
493C2×D4—28no—
494C2×D4—28no—
495C2×D4—28no—
496C2×D4—416no—
497C2×D4—2216no—
498C2×D4—2216no—
499C2×D4—448no—
500C2×D4—4432no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—28no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—48no—
512C22×C4—416no—
513C22×C4—118no—
514C22×C4—114no—
515C22×C4—114no—
516C22×C4—1116no—
517C22×C4—114no—
518C22×C4—112no—
519C22×C4—112no—
520C22×C4—112no—
521C22×C4—112no—
522C22×C4—2232no—
523C22×C4—228no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—222no—
528C22×C4—228no—
529C22×C4—224no—
530C22×C4—224no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4C23×D1114yes—
536C22×C4C23×D1112yes—
537C22×C4C23×D1114yes—
538C4⋊C4—2216no—
539C4⋊C4—228no—
540C4⋊C4—228no—
541C4⋊C4—448no—
542C22⋊C4—28no—
543C22⋊C4—48no—
544C22⋊C4—1116no—
545C22⋊C4—2216no—
546C22⋊C4—2216no—
547C22⋊C4—2216no—
548C22⋊C4—2216no—
549C22⋊C4—228no—
550C22⋊C4—228no—
551C22⋊C4—228no—
552C22⋊C4—448no—
553C42—2216no—
554C11C2×#241111yescharacteristic, complemented, Sylow
555C23—216no—
556C23—28no—
557C23—216no—
558C23—28no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—24no—
565C23—24no—
566C23—44no—
567C23—48no—
568C23—44no—
569C23—48no—
570C23—44no—
571C23—118no—
572C23—2232no—
573C23—2216no—
574C23—2216no—
575C23—2216no—
576C23—224no—
577C23—224no—
578C23—224no—
579C23—224no—
580C23—224no—
581C23—224no—
582C23—4432no—
583C23—4432no—
584C23—4416no—
585C23—44128no—
586C23—4416no—
587C23—448no—
588C23—448no—
589C23—448no—
590C23—448no—
591C23#66937116yes—
592C23C2×#433914yes—
593C23C2×#433912yes—
594C23C2×D4×D1114yes—
595C23C2×D4×D1114yes—
596C23C2×D4×D1112yes—
597C23C2×D4×D1112yes—
598C23#6703714yes—
599C23#41×D1114yes—
600C23C24×D1111yescharacteristic
601D4—416no—
602D4—4432no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—416no—
613C2×C4—44no—
614C2×C4—48no—
615C2×C4—48no—
616C2×C4—118no—
617C2×C4—114no—
618C2×C4—114no—
619C2×C4—2232no—
620C2×C4—228no—
621C2×C4—228no—
622C2×C4—2216no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—224no—
628C2×C4—224no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—224no—
632C2×C4—224no—
633C2×C4—444no—
634C2×C4—444no—
635C22—28no—
636C22—24no—
637C22—232no—
638C22—28no—
639C22—24no—
640C22—44no—
641C22—42no—
642C22—44no—
643C22—42no—
644C22—42no—
645C22—88no—
646C22—228no—
647C22—228no—
648C22—228no—
649C22—4464no—
650C22—444no—
651C22—444no—
652C22—4432no—
653C22—444no—
654C22—444no—
655C22C2×#6693718yes—
656C22C2×#6693714yes—
657C22#1062308718yes—
658C22#1062312314yes—
659C22#1062314118yes—
660C22#1062318714yes—
661C22C22×#433911yescharacteristic
662C22C22×D4×D1111yescharacteristic
663C22C22×D4×D1111yescharacteristic
664C22C2×#6703712yes—
665C22C2×#41×D1112yes—
666C4—44no—
667C4—44no—
668C4—42no—
669C4—228no—
670C4—224no—
671C4—224no—
672C4—442no—
673C4—442no—
674C2—28no—
675C2—82no—
676C2—448no—
677C2#1307200418yesdirect product factor
678C2C22×#6693711yescharacteristic
679C2C2×#1062318711yescharacteristic
680C2C2×#1062312311yescharacteristic
681C2C2×#1062314112yes—
682C2C2×#1062308712yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#386C2
socleC24×C11C24
prime radicalC22×#66990C2
hypercenterC2×#386D11
hypocenterC11C2×#2411
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C22×#66988C2semidirect
3. C22×#66930C2semidirect
4. C23×(C2×D11)⋊C4C2semidirect
5. #13072004C2direct (N × H)
6. C2×#10622289C2semidirect
7. C2×#10622572C2semidirect
8. C2×#10622570C2semidirect
9. C2×#10622282C2semidirect
10. C2×#10622823C2semidirect
11. C2×#10622568C2semidirect
12. C2×C11×#386C2semidirect
19. C22×C11×C22⋊C4C22semidirect
22. C22×C22⋊Dic11C22semidirect
23. C22×C22⋊Dic11C22semidirect
27. C2×#66988C22semidirect
34. C22×(C2×D11)⋊C4C22semidirect
35. C22×Dic11⋊C4C22semidirect
36. C22×Dic11⋊C4C22semidirect
37. C22×Dic11⋊C4C22semidirect
38. C22×Dic11⋊C4C22semidirect
39. C22×C4×Dic11C22semidirect
41. C2×#66930C22semidirect
42. C11×#386C22semidirect
43. C2×C11×#95C22semidirect
44. #10622823C22semidirect
45. C2×C11⋊#95C22semidirect
46. #10622572C22semidirect
47. #10622570C22semidirect
48. #10622568C22semidirect
49. #10622289C22semidirect
50. #10622282C22semidirect
76. C23×Dic11D4semidirect
86. C2×C11×C22⋊C4C23semidirect
93. C2×C22⋊Dic11C23semidirect
94. C2×C22⋊Dic11C23semidirect
112. C2×Dic11⋊C4C23semidirect
113. C2×Dic11⋊C4C23semidirect
114. C2×Dic11⋊C4C23semidirect
115. C2×Dic11⋊C4C23semidirect
117. C2×C4×Dic11C23semidirect
119. C11×#95C23semidirect
120. C11⋊#95C23semidirect
192. C22×Dic11C2×D4semidirect
223. C2×#386D11semidirect
333. C22×C22⋊C4C2×D11semidirect
339. #386C2×D11semidirect
343. C2×#95C2×D11semidirect
448. C2×C22⋊C4C22×D11semidirect
452. #95C22×D11semidirect
455. C2×C11#2411semidirect
554. C11C2×#2411semidirect
677. C2#13072004direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669882
C22×#669902
C22×#669302
C23×(C2×D11)⋊C42
#130720042
C2×#106222892
C2×#106225722
C2×#106225702
C2×#106222822
C2×#106228232
C2×#106225682
C2×C11×#3862
C2×#241111