Finite Group Databasebeta

← C2×#13071999 #14922394

Subgroups — C2×#13071999 #14922394

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×#66939C211yesmaximal, characteristic, complemented
2C22×#66935C211yesmaximal, characteristic
3C22×#66930C211yesmaximal, characteristic, complemented
4C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
5#13071999C2116yesmaximal, direct product factor
6C2×#10622607C212yesmaximal, complemented
7C2×#10622285C212yesmaximal, complemented
8C2×#10622601C212yesmaximal, complemented
9C2×#10622283C212yesmaximal, complemented
10C2×#10622826C211yesmaximal, characteristic, complemented
11C2×#10622568C211yesmaximal, characteristic, complemented
12C2×C11×#385C211yesmaximal, characteristic, complemented
13C25×D11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C24×Dic11C2211yescharacteristic
17C23×D44C2212yes—
18C22×C11×C4⋊C4C2212yescomplemented
19C22×C11×C22⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C22×(C2×D11)⋊C4—28no—
23C22×(C2×D11)⋊C4C2212yes—
24C22×(C2×D11)⋊C4C2212yes—
25C22×(C2×D11)⋊C4C2212yes—
26C22×(C2×D11)⋊C4C2212yes—
27C22×(C2×D11)⋊C4C2212yes—
28C22×(C2×D11)⋊C4C2218yescomplemented
29C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
30C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
31C22×(C2×D11)⋊C4C2212yescomplemented
32C22×C4⋊Dic11C2211yescharacteristic, complemented
33C22×C4⋊Dic11C2211yescharacteristic, complemented
34C22×Dic11⋊C4C2212yescomplemented
35C22×C4×Dic11C2212yescomplemented
36C2×#66939—28no—
37C2×#66939C2218yescomplemented
38C2×#66935—28no—
39C2×#66935C2218yes—
40C2×#66930—28no—
41C2×#66930C2218yescomplemented
42C11×#385C2218yescomplemented
43C2×C11×#95C2212yescomplemented
44#10622826C2218yescomplemented
45C2×C11⋊#95C2212yescomplemented
46#10622607C22116yescomplemented
47#10622601C22116yescomplemented
48#10622568C2218yescomplemented
49#10622285C22116yescomplemented
50#10622283C22116yescomplemented
51C25×C11C2311yescharacteristic
52C24×D11—24no—
53C24×D11—28no—
54C24×D11—24no—
55C24×D11—24no—
56C24×D11—44no—
57C24×D11C2311yescharacteristic
58C24×D11C2312yes—
59C24×D11C2314yes—
60C23×C4×C11—24no—
61C23×C4×C11—44no—
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2312yes—
65C23×C4×C11C2312yes—
66C23×C4×C11C2314yes—
67C22×C22⋊D11—24no—
68C22×C22⋊D11—24no—
69C22×C22⋊D11—24no—
70C22×C22⋊D11C2314yes—
71C23×Dic11—24no—
72C23×Dic11—24no—
73C23×Dic11D418yescomplemented
74C23×Dic11C2312yes—
75C23×Dic11C2311yescharacteristic
76C23×Dic11C2311yescharacteristic
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2314yes—
79C22×D44—28no—
80C22×D44—28no—
81C22×D44—44no—
82C22×D44C2318yes—
83C2×C11×C4⋊C4—44no—
84C2×C11×C4⋊C4C2318yescomplemented
85C2×C11×C22⋊C4—24no—
86C2×C11×C22⋊C4D418yes—
87C2×C11×C22⋊C4C2314yes—
88C2×C11×C22⋊C4C2314yes—
89C2×C22⋊Dic11—24no—
90C2×C22⋊Dic11C2314yes—
91C2×(C2×D11)⋊C4—28no—
92C2×(C2×D11)⋊C4—28no—
93C2×(C2×D11)⋊C4—24no—
94C2×(C2×D11)⋊C4—24no—
95C2×(C2×D11)⋊C4—28no—
96C2×(C2×D11)⋊C4—28no—
97C2×(C2×D11)⋊C4—232no—
98C2×(C2×D11)⋊C4—44no—
99C2×(C2×D11)⋊C4—44no—
100C2×(C2×D11)⋊C4C2318yes—
101C2×(C2×D11)⋊C4C2318yes—
102C2×(C2×D11)⋊C4C2318yes—
103C2×(C2×D11)⋊C4C2318yes—
104C2×(C2×D11)⋊C4C2318yes—
105C2×(C2×D11)⋊C4C2314yescomplemented
106C2×(C2×D11)⋊C4C2314yescomplemented
107C2×(C2×D11)⋊C4C2318yescomplemented
108C2×C4⋊Dic11—24no—
109C2×C4⋊Dic11—24no—
110C2×C4⋊Dic11C2314yescomplemented
111C2×C4⋊Dic11C2314yescomplemented
112C2×Dic11⋊C4—28no—
113C2×Dic11⋊C4C2318yescomplemented
114C2×C4×Dic11—28no—
115C2×C4×Dic11C2318yescomplemented
116#66939—232no—
117#66935—232no—
118#66930—232no—
119C11×#95C2318yescomplemented
120C11⋊#95C2318yescomplemented
121C2×#2411—111nomaximal, Sylow
122C24×C11—24no—
123C24×C11—24no—
124C24×C11C2×D414yes—
125C24×C11C2×D414yes—
126C24×C11#4114yes—
127C24×C11C2412yes—
128C24×C11C2411yescharacteristic
129C23×D11—232no—
130C23×D11—28no—
131C23×D11—24no—
132C23×D11—24no—
133C23×D11—24no—
134C23×D11—24no—
135C23×D11—24no—
136C23×D11—24no—
137C23×D11—216no—
138C23×D11—28no—
139C23×D11—22no—
140C23×D11—22no—
141C23×D11—24no—
142C23×D11—22no—
143C23×D11—28no—
144C23×D11—24no—
145C23×D11—48no—
146C23×D11—432no—
147C23×D11—432no—
148C23×D11—416no—
149C23×D11—416no—
150C23×D11#4118yes—
151C23×D11C2412yes—
152C23×D11C2414yes—
153C22×C4×C11—24no—
154C22×C4×C11—24no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—28no—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—48no—
164C22×C4×C11—416no—
165C22×C4×C11C2×D418yes—
166C22×C4×C11C2414yes—
167C22×C4×C11C2412yes—
168C22×C4×C11C2412yes—
169C22×C4×C11C2414yes—
170C2×C22⋊D11—28no—
171C2×C22⋊D11—28no—
172C2×C22⋊D11—28no—
173C2×C22⋊D11—416no—
174C22×Dic11—232no—
175C22×Dic11—28no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—24no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—28no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—24no—
185C22×Dic11—22no—
186C22×Dic11—24no—
187C22×Dic11C2×D414yes—
188C22×Dic11C2×D414yes—
189C22×Dic11C2×D4116yescomplemented
190C22×Dic11C2412yes—
191C22×Dic11C2414yes—
192C22×Dic11C2412yes—
193C22×Dic11C2412yes—
194C2×D44—216no—
195C2×D44—216no—
196C2×D44—48no—
197C2×D44—432no—
198C11×C4⋊C4—48no—
199C11×C22⋊C4—28no—
200C11×C22⋊C4C2×D4116yes—
201C22⋊Dic11—28no—
202(C2×D11)⋊C4—28no—
203(C2×D11)⋊C4—28no—
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—
209(C2×D11)⋊C4—48no—
210C4⋊Dic11—28no—
211C4⋊Dic11—28no—
212Dic11⋊C4—216no—
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×#386—111no—
224C2×#385D1111yescharacteristic, complemented
225C2×#379—111no—
226C23×C11—28no—
227C23×C11—28no—
228C23×C11—216no—
229C23×C11—216no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11#121116yes—
233C23×C11C22×D414yes—
234C23×C11C22×D412yes—
235C23×C11C22×D414yes—
236C23×C11C22×D412yes—
237C23×C11C2×#4114yes—
238C23×C11C2×#4112yes—
239C23×C11C2×#4114yes—
240C23×C11H(5,𝔽2)14yes—
241C23×C11C2511yescharacteristic
242C22×D11—232no—
243C22×D11—216no—
244C22×D11—216no—
245C22×D11—216no—
246C22×D11—24no—
247C22×D11—24no—
248C22×D11—24no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—22no—
253C22×D11—22no—
254C22×D11—24no—
255C22×D11—22no—
256C22×D11—24no—
257C22×D11—432no—
258C22×D11—432no—
259C22×D11—4128no—
260C22×D11—416no—
261C22×D11—416no—
262C22×D11—48no—
263C22×D11—48no—
264C22×D11—48no—
265C22×D11—48no—
266C22×D11—44no—
267C22×D11—44no—
268C22×D11—44no—
269C22×D11—48no—
270C22×D11—48no—
271C22×D11C2×#4118yes—
272C2×C4×C11—216no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—416no—
283C2×C4×C11—44no—
284C2×C4×C11—44no—
285C2×C4×C11—48no—
286C2×C4×C11C22×D418yes—
287C22⋊D11—416no—
288C2×Dic11—28no—
289C2×Dic11—28no—
290C2×Dic11—232no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—24no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—24no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—44no—
302C2×Dic11—48no—
303C2×Dic11C22×D414yes—
304C2×Dic11C22×D414yes—
305D44—432no—
306C26—111no—
307C23×D4—111no—
308C23×D4—112no—
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⋊C4C2×D1112yescomplemented
321C22×C22⋊C4—111no—
322C22×C22⋊C4—111no—
323C22×C22⋊C4—112no—
324C22×C22⋊C4—112no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—112no—
327C22×C22⋊C4—118no—
328C22×C22⋊C4—111no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—228no—
332C22×C22⋊C4C2×D1111yescharacteristic
333C22×C22⋊C4C2×D1111yescharacteristic
334C22×C42—112no—
335#396—1116no—
336#394—1116no—
337#390—1116no—
338#388—1116no—
339#386—118no—
340#385C2×D1118yescomplemented
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×C11C2×#12118yes—
350C22×C11C2×#12114yes—
351C22×C11#52514yes—
352C22×C11#53514yes—
353C22×C11#54618yes—
354C22×C11#55118yes—
355C22×C11C23×D411yescharacteristic
356C22×C11C23×D411yescharacteristic
357C22×C11C22×#4111yescharacteristic
358C22×C11C22×#4112yes—
359C22×C11C2×H(5,𝔽2)12yes—
360C2×D11—28no—
361C2×D11—28no—
362C2×D11—28no—
363C2×D11—464no—
364C2×D11—44no—
365C2×D11—432no—
366C2×D11—44no—
367C2×D11—44no—
368C2×D11—44no—
369C2×D11—42no—
370C2×D11—42no—
371C2×D11—42no—
372C2×D11—44no—
373C2×D11—44no—
374C2×D11—88no—
375C4×C11—28no—
376C4×C11—42no—
377C4×C11—42no—
378C4×C11—44no—
379Dic11—24no—
380Dic11—24no—
381Dic11—42no—
382Dic11—44no—
383C25—112no—
384C25—111no—
385C25—114no—
386C25—228no—
387C25—224no—
388C25—224no—
389C25—224no—
390C25—444no—
391C25C22×D1111yescharacteristic
392C22×D4—114no—
393C22×D4—118no—
394C22×D4—228no—
395C22×D4—224no—
396C22×D4—224no—
397C22×D4—224no—
398C22×D4—228no—
399C22×D4—444no—
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—224no—
409C23×C4—224no—
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1112yes—
413C23×C4C22×D1112yes—
414C23×C4C22×D1114yes—
415#123—2232no—
416#120—2232no—
417#117—2232no—
418C2×C4⋊C4—44no—
419C2×C4⋊C4—118no—
420C2×C4⋊C4—114no—
421C2×C4⋊C4—114no—
422C2×C4⋊C4—224no—
423C2×C4⋊C4—224no—
424C2×C4⋊C4—228no—
425C2×C4⋊C4C22×D1118yescomplemented
426C2×C22⋊C4—24no—
427C2×C22⋊C4—114no—
428C2×C22⋊C4—118no—
429C2×C22⋊C4—118no—
430C2×C22⋊C4—118no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—114no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—118no—
436C2×C22⋊C4—228no—
437C2×C22⋊C4—228no—
438C2×C22⋊C4—2232no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—228no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—228no—
444C2×C22⋊C4—444no—
445C2×C22⋊C4—444no—
446C2×C22⋊C4D4418yes—
447C2×C22⋊C4C22×D1114yes—
448C2×C22⋊C4C22×D1114yes—
449C2×C42—118no—
450C2×C42—228no—
451#95—118no—
452#95C22×D1118yescomplemented
453C2×C11—28no—
454C2×C11#241118yescomplemented
455C2×C11C22×#12111yescharacteristic
456C2×C11C2×#52511yescharacteristic
457C2×C11C2×#53511yescharacteristic
458C2×C11C2×#54612yes—
459C2×C11C2×#55112yes—
460D11—48no—
461D11—82no—
462C24—24no—
463C24—24no—
464C24—118no—
465C24—114no—
466C24—112no—
467C24—2216no—
468C24—2232no—
469C24—224no—
470C24—228no—
471C24—224no—
472C24—224no—
473C24—224no—
474C24—224no—
475C24—224no—
476C24—228no—
477C24—222no—
478C24—222no—
479C24—224no—
480C24—222no—
481C24—228no—
482C24—224no—
483C24—448no—
484C24—4432no—
485C24—4432no—
486C24—4416no—
487C24—4416no—
488C24C2×D4414yes—
489C24D4×D1114yes—
490C24#434314yes—
491C24C23×D1112yes—
492C24C23×D1111yescharacteristic
493C2×D4—2216no—
494C2×D4—228no—
495C2×D4—228no—
496C2×D4—228no—
497C2×D4—2216no—
498C2×D4—448no—
499C2×D4—4432no—
500C2×D4—4416no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—28no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—48no—
512C22×C4—416no—
513C22×C4—114no—
514C22×C4—114no—
515C22×C4—1116no—
516C22×C4—112no—
517C22×C4—112no—
518C22×C4—112no—
519C22×C4—114no—
520C22×C4—2232no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4—228no—
524C22×C4—228no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—224no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—224no—
531C22×C4—222no—
532C22×C4—224no—
533C22×C4C2×D4418yes—
534C22×C4C23×D1114yes—
535C22×C4C23×D1112yes—
536C22×C4C23×D1112yes—
537C22×C4C23×D1114yes—
538C4⋊C4—48no—
539C4⋊C4—228no—
540C4⋊C4—228no—
541C4⋊C4—2216no—
542C22⋊C4—28no—
543C22⋊C4—2216no—
544C22⋊C4—2216no—
545C22⋊C4—228no—
546C22⋊C4—228no—
547C22⋊C4—2216no—
548C22⋊C4—228no—
549C22⋊C4—2216no—
550C22⋊C4—448no—
551C22⋊C4—448no—
552C22⋊C4C2×D44116yes—
553C42—2216no—
554C11C2×#241111yescharacteristic, complemented, Sylow
555C23—216no—
556C23—28no—
557C23—216no—
558C23—28no—
559C23—24no—
560C23—24no—
561C23—118no—
562C23—2232no—
563C23—2216no—
564C23—2216no—
565C23—224no—
566C23—2216no—
567C23—224no—
568C23—224no—
569C23—224no—
570C23—224no—
571C23—224no—
572C23—222no—
573C23—222no—
574C23—224no—
575C23—222no—
576C23—224no—
577C23—4432no—
578C23—4432no—
579C23—4416no—
580C23—44128no—
581C23—4416no—
582C23—448no—
583C23—448no—
584C23—448no—
585C23—448no—
586C23—444no—
587C23—448no—
588C23—444no—
589C23—448no—
590C23—444no—
591C23#66948116yes—
592C23C22×D4414yes—
593C23C22×D4412yes—
594C23C2×D4×D1114yes—
595C23C2×D4×D1112yes—
596C23#6703714yes—
597C23C2×#434314yes—
598C23C2×#434312yes—
599C23#41×D1114yes—
600C23C24×D1111yescharacteristic
601D4—4432no—
602D4—4416no—
603C2×C4—216no—
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—24no—
613C2×C4—416no—
614C2×C4—44no—
615C2×C4—48no—
616C2×C4—44no—
617C2×C4—114no—
618C2×C4—114no—
619C2×C4—2232no—
620C2×C4—228no—
621C2×C4—228no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—224no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—224no—
630C2×C4—222no—
631C2×C4—224no—
632C2×C4—444no—
633C2×C4—448no—
634C2×C4C22×D4418yes—
635C22—28no—
636C22—24no—
637C22—232no—
638C22—28no—
639C22—24no—
640C22—228no—
641C22—228no—
642C22—228no—
643C22—4464no—
644C22—444no—
645C22—444no—
646C22—4432no—
647C22—444no—
648C22—444no—
649C22—444no—
650C22—442no—
651C22—444no—
652C22—442no—
653C22—442no—
654C22—888no—
655C22C2×#6694818yes—
656C22C2×#6694814yes—
657C22#1062308518yes—
658C22#1062312314yes—
659C22#1062316818yes—
660C22#1062318714yes—
661C22C23×D4411yescharacteristic
662C22C22×D4×D1111yescharacteristic
663C22C2×#6703712yes—
664C22C22×#434311yescharacteristic
665C22C2×#41×D1112yes—
666C4—28no—
667C4—44no—
668C4—42no—
669C4—42no—
670C4—224no—
671C4—224no—
672C4—444no—
673C4—442no—
674C2—28no—
675C2—448no—
676C2—882no—
677C2#1307199918yesdirect product factor
678C2C22×#6694811yescharacteristic
679C2C2×#1062318711yescharacteristic
680C2C2×#1062312311yescharacteristic
681C2C2×#1062308512yes—
682C2C2×#1062316812yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#385C2
socleC24×C11C24
prime radicalC22×#66935C2
hypercenterC2×#385D11
hypocenterC11C2×#2411
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. C22×#66939C2semidirect
3. C22×#66930C2semidirect
4. C23×(C2×D11)⋊C4C2semidirect
5. #13071999C2direct (N × H)
6. C2×#10622607C2semidirect
7. C2×#10622285C2semidirect
8. C2×#10622601C2semidirect
9. C2×#10622283C2semidirect
10. C2×#10622826C2semidirect
11. C2×#10622568C2semidirect
12. C2×C11×#385C2semidirect
18. C22×C11×C4⋊C4C22semidirect
28. C22×(C2×D11)⋊C4C22semidirect
29. C22×(C2×D11)⋊C4C22semidirect
30. C22×(C2×D11)⋊C4C22semidirect
31. C22×(C2×D11)⋊C4C22semidirect
32. C22×C4⋊Dic11C22semidirect
33. C22×C4⋊Dic11C22semidirect
34. C22×Dic11⋊C4C22semidirect
35. C22×C4×Dic11C22semidirect
37. C2×#66939C22semidirect
41. C2×#66930C22semidirect
42. C11×#385C22semidirect
43. C2×C11×#95C22semidirect
44. #10622826C22semidirect
45. C2×C11⋊#95C22semidirect
46. #10622607C22semidirect
47. #10622601C22semidirect
48. #10622568C22semidirect
49. #10622285C22semidirect
50. #10622283C22semidirect
73. C23×Dic11D4semidirect
84. C2×C11×C4⋊C4C23semidirect
105. C2×(C2×D11)⋊C4C23semidirect
106. C2×(C2×D11)⋊C4C23semidirect
107. C2×(C2×D11)⋊C4C23semidirect
110. C2×C4⋊Dic11C23semidirect
111. C2×C4⋊Dic11C23semidirect
113. C2×Dic11⋊C4C23semidirect
115. C2×C4×Dic11C23semidirect
119. C11×#95C23semidirect
120. C11⋊#95C23semidirect
189. C22×Dic11C2×D4semidirect
224. C2×#385D11semidirect
320. C22×C4⋊C4C2×D11semidirect
340. #385C2×D11semidirect
343. C2×#95C2×D11semidirect
425. C2×C4⋊C4C22×D11semidirect
452. #95C22×D11semidirect
454. C2×C11#2411semidirect
554. C11C2×#2411semidirect
677. C2#13071999direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669392
C22×#669352
C22×#669302
C23×(C2×D11)⋊C42
#130719992
C2×#106226072
C2×#106222852
C2×#106226012
C2×#106222832
C2×#106228262
C2×#106225682
C2×C11×#3852
C2×#241111