Finite Group Databasebeta

← C2×#13073502 #14923785

Subgroups — C2×#13073502 #14923785

Order 2816.

5054 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66988C211yesmaximal, characteristic, complemented
2C22×#66990C211yesmaximal, characteristic
3C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
4#13073502C2116yesmaximal, direct product factor
5C2×#10622607C212yesmaximal, complemented
6C2×#10622574C212yesmaximal, complemented
7C2×#10622553C212yesmaximal, complemented
8C2×#10622826C212yesmaximal, complemented
9C2×#10622556C211yesmaximal, characteristic, complemented
10C2×#10622825C211yesmaximal, characteristic, complemented
11C2×#10622568C211yesmaximal, characteristic, complemented
12C22×C4×D4×C11C211yesmaximal, characteristic, complemented
13C25×D11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C24×C4×C11C2211yescharacteristic, complemented
17C23×C22⋊D11C2212yes—
18C24×Dic11C2211yescharacteristic
19C2×C4×D4×C11—28no—
20C2×C4×D4×C11C2218yescomplemented
21C22×C11×C4⋊C4C2211yescharacteristic, complemented
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic, complemented
24C22×C42×C11C2211yescharacteristic, complemented
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2211yescharacteristic
27C22×C22⋊Dic11C2212yescomplemented
28C2×#66990—28no—
29C2×#66990C2218yes—
30C2×#66988—28no—
31C2×#66988C2218yescomplemented
32C22×(C2×D11)⋊C4—28no—
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2212yes—
35C22×(C2×D11)⋊C4C2212yes—
36C22×(C2×D11)⋊C4C2212yes—
37C22×(C2×D11)⋊C4C2212yes—
38C22×(C2×D11)⋊C4C2218yescomplemented
39C22×C4⋊Dic11C2212yescomplemented
40C22×Dic11⋊C4C2212yescomplemented
41#10622826C22116yescomplemented
42#10622825C2218yescomplemented
43C2×C11⋊#95C2212yescomplemented
44C2×C11⋊#95C2212yescomplemented
45C2×C11⋊#95C2212yescomplemented
46#10622607C22116yescomplemented
47#10622574C22116yescomplemented
48#10622568C2218yescomplemented
49#10622556C2218yescomplemented
50#10622553C22116yescomplemented
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×C11D418yes—
63C22×D4×C11C2314yes—
64C23×C4×C11—24no—
65C23×C4×C11—44no—
66C23×C4×C11—44no—
67C23×C4×C11D418yescomplemented
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2314yes—
74C23×C4×C11C2314yescomplemented
75C22×C22⋊D11—28no—
76C22×C22⋊D11—28no—
77C22×C22⋊D11—44no—
78C22×C22⋊D11C2318yes—
79C23×Dic11—24no—
80C23×Dic11—24no—
81C23×Dic11—24no—
82C23×Dic11C2312yes—
83C23×Dic11C2312yes—
84C23×Dic11C2312yes—
85C23×Dic11C2314yes—
86C4×D4×C11—232no—
87C2×C11×C4⋊C4—24no—
88C2×C11×C4⋊C4C2314yescomplemented
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—24no—
91C2×C11×C22⋊C4C2314yes—
92C2×C11×C22⋊C4C2314yescomplemented
93C2×C42×C11—24no—
94C2×C42×C11C2314yescomplemented
95C2×C22⋊Dic11—24no—
96C2×C22⋊Dic11—28no—
97C2×C22⋊Dic11—24no—
98C2×C22⋊Dic11C2314yes—
99C2×C22⋊Dic11C2314yes—
100C2×C22⋊Dic11C2318yescomplemented
101#66990—232no—
102#66988—232no—
103C2×(C2×D11)⋊C4—28no—
104C2×(C2×D11)⋊C4—28no—
105C2×(C2×D11)⋊C4—28no—
106C2×(C2×D11)⋊C4—28no—
107C2×(C2×D11)⋊C4—232no—
108C2×(C2×D11)⋊C4—44no—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2318yes—
111C2×(C2×D11)⋊C4C2318yes—
112C2×(C2×D11)⋊C4C2318yes—
113C2×(C2×D11)⋊C4C2318yes—
114C2×C4⋊Dic11—44no—
115C2×C4⋊Dic11C2318yescomplemented
116C2×Dic11⋊C4—28no—
117C2×Dic11⋊C4C2318yescomplemented
118C11⋊#95C2318yescomplemented
119C11⋊#95C2318yescomplemented
120C11⋊#95C2318yescomplemented
121C2×#2534—111nomaximal, Sylow
122C24×C11—24no—
123C24×C11—24no—
124C24×C11—22no—
125C24×C11—24no—
126C24×C11—22no—
127C24×C11—24no—
128C24×C11C2×D414yes—
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—232no—
154C2×D4×C11—28no—
155C2×D4×C11—28no—
156C2×D4×C11C2×D4116yes—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11—28no—
166C22×C4×C11—416no—
167C22×C4×C11—48no—
168C22×C4×C11—48no—
169C22×C4×C11—416no—
170C22×C4×C11C2×D414yes—
171C22×C4×C11C2×D414yes—
172C22×C4×C11C2×D414yes—
173C22×C4×C11C2×D4116yescomplemented
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2412yes—
178C22×C4×C11C2412yes—
179C2×C22⋊D11—216no—
180C2×C22⋊D11—216no—
181C2×C22⋊D11—48no—
182C2×C22⋊D11—432no—
183C22×Dic11—24no—
184C22×Dic11—24no—
185C22×Dic11—28no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—28no—
189C22×Dic11—24no—
190C22×Dic11—28no—
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—24no—
194C22×Dic11—24no—
195C22×Dic11—416no—
196C22×Dic11C2414yes—
197C22×Dic11C2414yes—
198C22×Dic11C2414yes—
199C11×C4⋊C4—28no—
200C11×C22⋊C4—28no—
201C11×C22⋊C4—28no—
202C42×C11—28no—
203C22⋊Dic11—28no—
204C22⋊Dic11—216no—
205C22⋊Dic11—28no—
206(C2×D11)⋊C4—216no—
207(C2×D11)⋊C4—216no—
208(C2×D11)⋊C4—216no—
209(C2×D11)⋊C4—216no—
210(C2×D11)⋊C4—48no—
211C4⋊Dic11—48no—
212Dic11⋊C4—216no—
213C22×#123—111no—
214C22×#120—111no—
215C22×C4×D4D1111yescharacteristic, complemented
216C23×C22⋊C4—111no—
217#2534—1116no—
218C2×#396—112no—
219C2×#394—112no—
220C2×#388—112no—
221C2×#386—112no—
222C2×#381—111no—
223C2×#380—111no—
224C2×#379—111no—
225C23×C11—28no—
226C23×C11—28no—
227C23×C11—216no—
228C23×C11—216no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—28no—
232C23×C11—216no—
233C23×C11—22no—
234C23×C11—24no—
235C23×C11—22no—
236C23×C11—24no—
237C23×C11—44no—
238C23×C11—44no—
239C23×C11—48no—
240C23×C11#121116yes—
241C23×C11C22×D414yes—
242C23×C11C22×D414yes—
243C23×C11C22×D412yes—
244C23×C11C22×D414yes—
245C23×C11C22×D412yes—
246C23×C11C2×#4114yes—
247C23×C11C2×#4112yes—
248C23×C11C2×#4114yes—
249C23×C11H(5,𝔽2)14yes—
250C23×C11C2511yescharacteristic
251C22×D11—232no—
252C22×D11—216no—
253C22×D11—216no—
254C22×D11—216no—
255C22×D11—24no—
256C22×D11—24no—
257C22×D11—24no—
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—24no—
261C22×D11—432no—
262C22×D11—432no—
263C22×D11—416no—
264C22×D11—4128no—
265C22×D11—416no—
266C22×D11—48no—
267C22×D11—48no—
268C22×D11—48no—
269C22×D11—48no—
270C22×D11C2×#4118yes—
271D4×C11—232no—
272C2×C4×C11—28no—
273C2×C4×C11—28no—
274C2×C4×C11—28no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—416no—
284C2×C4×C11—416no—
285C2×C4×C11—44no—
286C2×C4×C11—44no—
287C2×C4×C11C22×D414yes—
288C2×C4×C11C22×D414yes—
289C2×C4×C11C22×D414yes—
290C22⋊D11—432no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—416no—
301C2×Dic11—48no—
302C2×Dic11—48no—
303C2×Dic11—48no—
304C26—111no—
305C23×D4—112no—
306C23×D4C2×D1111yescharacteristic
307C24×C4—111no—
308C24×C4C2×D1111yescharacteristic
309C24×C4C2×D1111yescharacteristic, complemented
310C2×#123—118no—
311C2×#123—228no—
312C2×#120—118no—
313C2×#120—228no—
314C2×C4×D4—28no—
315C2×C4×D4C2×D1118yescomplemented
316C22×C4⋊C4—112no—
317C22×C4⋊C4—112no—
318C22×C4⋊C4C2×D1111yescharacteristic, complemented
319C22×C22⋊C4—112no—
320C22×C22⋊C4—111no—
321C22×C22⋊C4—111no—
322C22×C22⋊C4—112no—
323C22×C22⋊C4—112no—
324C22×C22⋊C4—112no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—118no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4—228no—
329C22×C22⋊C4C2×D1111yescharacteristic
330C22×C22⋊C4C2×D1111yescharacteristic, complemented
331C22×C42C2×D1111yescharacteristic, complemented
332#396—1116no—
333#394—1116no—
334#388—1116no—
335#386—1116no—
336#381—118no—
337#380—118no—
338#379—118no—
339C2×#95—112no—
340C2×#95—112no—
341C2×#95—112no—
342C22×C11—24no—
343C22×C11—24no—
344C22×C11—28no—
345C22×C11—28no—
346C22×C11—232no—
347C22×C11—24no—
348C22×C11—28no—
349C22×C11—42no—
350C22×C11—42no—
351C22×C11—44no—
352C22×C11—416no—
353C22×C11C2×#12118yes—
354C22×C11C2×#12114yes—
355C22×C11#52514yes—
356C22×C11#53414yes—
357C22×C11#54618yes—
358C22×C11#55118yes—
359C22×C11C23×D411yescharacteristic
360C22×C11C23×D411yescharacteristic
361C22×C11C22×#4111yescharacteristic
362C22×C11C22×#4112yes—
363C22×C11C2×H(5,𝔽2)12yes—
364C2×D11—28no—
365C2×D11—28no—
366C2×D11—28no—
367C2×D11—464no—
368C2×D11—44no—
369C2×D11—44no—
370C2×D11—44no—
371C2×D11—44no—
372C2×D11—432no—
373C4×C11—24no—
374C4×C11—24no—
375C4×C11—24no—
376C4×C11—42no—
377C4×C11—42no—
378Dic11—44no—
379Dic11—44no—
380Dic11—44no—
381C25—112no—
382C25—114no—
383C25—228no—
384C25—224no—
385C25—224no—
386C25—224no—
387C25—444no—
388C25C22×D1111yescharacteristic
389C25C22×D1111yescharacteristic
390C22×D4—24no—
391C22×D4—24no—
392C22×D4—118no—
393C22×D4—228no—
394C22×D4—228no—
395C22×D4—444no—
396C22×D4D4418yes—
397C22×D4C22×D1114yes—
398C23×C4—24no—
399C23×C4—44no—
400C23×C4—44no—
401C23×C4—114no—
402C23×C4—112no—
403C23×C4—112no—
404C23×C4—112no—
405C23×C4—224no—
406C23×C4—224no—
407C23×C4—224no—
408C23×C4C22⋊D1118yescomplemented
409C23×C4C22×D1111yescharacteristic
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1114yes—
415C23×C4C22×D1114yescomplemented
416#123—2232no—
417#120—2232no—
418C4×D4—232no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—118no—
421C2×C4⋊C4—118no—
422C2×C4⋊C4—228no—
423C2×C4⋊C4—444no—
424C2×C4⋊C4C22×D1114yescomplemented
425C2×C22⋊C4—24no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—114no—
428C2×C22⋊C4—114no—
429C2×C22⋊C4—118no—
430C2×C22⋊C4—118no—
431C2×C22⋊C4—118no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—228no—
436C2×C22⋊C4—224no—
437C2×C22⋊C4—224no—
438C2×C22⋊C4—228no—
439C2×C22⋊C4—228no—
440C2×C22⋊C4—228no—
441C2×C22⋊C4—228no—
442C2×C22⋊C4—2232no—
443C2×C22⋊C4—444no—
444C2×C22⋊C4C22×D1114yes—
445C2×C22⋊C4C22×D1114yescomplemented
446C2×C42—24no—
447C2×C42C22×D1114yescomplemented
448#95—118no—
449#95—118no—
450#95—118no—
451C2×C11—28no—
452C2×C11—44no—
453C2×C11#253418yescomplemented
454C2×C11C22×#12111yescharacteristic
455C2×C11C2×#52511yescharacteristic
456C2×C11C2×#53411yescharacteristic
457C2×C11C2×#54612yes—
458C2×C11C2×#55112yes—
459D11—48no—
460C24—24no—
461C24—24no—
462C24—22no—
463C24—24no—
464C24—24no—
465C24—22no—
466C24—118no—
467C24—114no—
468C24—2216no—
469C24—2232no—
470C24—224no—
471C24—224no—
472C24—224no—
473C24—224no—
474C24—224no—
475C24—228no—
476C24—224no—
477C24—228no—
478C24—228no—
479C24—448no—
480C24—4432no—
481C24—4432no—
482C24—4416no—
483C24—4416no—
484C24C2×D4414yes—
485C24C2×D4414yes—
486C24#433914yes—
487C24C2×C22⋊D1114yes—
488C24C23×D1112yes—
489C24C23×D1112yes—
490C24C23×D1111yescharacteristic
491C2×D4—232no—
492C2×D4—28no—
493C2×D4—28no—
494C2×D4—2216no—
495C2×D4—2216no—
496C2×D4—448no—
497C2×D4—4432no—
498C2×D4C2×D44116yes—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—28no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—416no—
511C22×C4—416no—
512C22×C4—114no—
513C22×C4—114no—
514C22×C4—114no—
515C22×C4—224no—
516C22×C4—224no—
517C22×C4—224no—
518C22×C4—228no—
519C22×C4—228no—
520C22×C4—224no—
521C22×C4—224no—
522C22×C4—224no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4—228no—
526C22×C4—224no—
527C22×C4—4416no—
528C22×C4C2×D4414yes—
529C22×C4C2×C22⋊D1114yes—
530C22×C4C2×C22⋊D1114yes—
531C22×C4C2×C22⋊D11116yescomplemented
532C22×C4C23×D1112yes—
533C22×C4C23×D1112yes—
534C22×C4C23×D1112yes—
535C22×C4C23×D1112yes—
536C22×C4C23×D1112yes—
537C4⋊C4—28no—
538C4⋊C4—2216no—
539C4⋊C4—448no—
540C22⋊C4—28no—
541C22⋊C4—28no—
542C22⋊C4—2216no—
543C22⋊C4—228no—
544C22⋊C4—228no—
545C22⋊C4—2216no—
546C22⋊C4—2216no—
547C22⋊C4—2216no—
548C22⋊C4—2216no—
549C22⋊C4—448no—
550C42—28no—
551C11C2×#253411yescharacteristic, complemented, Sylow
552C23—28no—
553C23—216no—
554C23—216no—
555C23—28no—
556C23—24no—
557C23—24no—
558C23—28no—
559C23—216no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—22no—
564C23—44no—
565C23—48no—
566C23—44no—
567C23—118no—
568C23—2232no—
569C23—2216no—
570C23—2216no—
571C23—2216no—
572C23—224no—
573C23—224no—
574C23—224no—
575C23—224no—
576C23—224no—
577C23—224no—
578C23—4432no—
579C23—4432no—
580C23—4416no—
581C23—44128no—
582C23—4416no—
583C23—448no—
584C23—448no—
585C23—448no—
586C23—448no—
587C23#66983116yes—
588C23C22×D4414yes—
589C23C22×D4414yes—
590C23C22×D4412yes—
591C23C2×#433914yes—
592C23C2×#433912yes—
593C23#6703714yes—
594C23#41×D1114yes—
595C23C22×C22⋊D1114yes—
596C23C22×C22⋊D1112yes—
597C23C24×D1111yescharacteristic
598D4—232no—
599D4—4432no—
600C2×C4—28no—
601C2×C4—28no—
602C2×C4—28no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—416no—
612C2×C4—416no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—224no—
621C2×C4—224no—
622C2×C4—224no—
623C2×C4—224no—
624C2×C4—4416no—
625C2×C4—448no—
626C2×C4—448no—
627C2×C4—448no—
628C2×C4C22×D4414yes—
629C2×C4C22×C22⋊D1114yes—
630C2×C4C22×C22⋊D1114yes—
631C22—28no—
632C22—24no—
633C22—232no—
634C22—28no—
635C22—24no—
636C22—28no—
637C22—24no—
638C22—44no—
639C22—42no—
640C22—416no—
641C22—42no—
642C22—228no—
643C22—228no—
644C22—228no—
645C22—4464no—
646C22—444no—
647C22—444no—
648C22—4432no—
649C22—444no—
650C22—444no—
651C22#1062308518yes—
652C22#1062308718yes—
653C22C2×#6698318yes—
654C22C2×#6698314yes—
655C22#1062333514yes—
656C22#1062335914yes—
657C22C23×D4411yescharacteristic
658C22C22×#433911yescharacteristic
659C22C2×#6703712yes—
660C22C2×#41×D1112yes—
661C22C23×C22⋊D1111yescharacteristic
662C4—24no—
663C4—24no—
664C4—24no—
665C4—42no—
666C4—42no—
667C4—444no—
668C4—444no—
669C4—444no—
670C2—28no—
671C2—44no—
672C2—448no—
673C2#1307350218yesdirect product factor
674C2C22×#6698311yescharacteristic
675C2C2×#1062335911yescharacteristic
676C2C2×#1062333511yescharacteristic
677C2C2×#1062308512yes—
678C2C2×#1062308712yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C4×D4×C11C2
socleC24×C11C24
prime radicalC22×#66990C2
hypercenterC22×C4×D4D11
hypocenterC11C2×#2534
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C22×#66988C2semidirect
3. C23×(C2×D11)⋊C4C2semidirect
4. #13073502C2direct (N × H)
5. C2×#10622607C2semidirect
6. C2×#10622574C2semidirect
7. C2×#10622553C2semidirect
8. C2×#10622826C2semidirect
9. C2×#10622556C2semidirect
10. C2×#10622825C2semidirect
11. C2×#10622568C2semidirect
12. C22×C4×D4×C11C2semidirect
16. C24×C4×C11C22semidirect
20. C2×C4×D4×C11C22semidirect
21. C22×C11×C4⋊C4C22semidirect
23. C22×C11×C22⋊C4C22semidirect
24. C22×C42×C11C22semidirect
27. C22×C22⋊Dic11C22semidirect
31. C2×#66988C22semidirect
38. C22×(C2×D11)⋊C4C22semidirect
39. C22×C4⋊Dic11C22semidirect
40. C22×Dic11⋊C4C22semidirect
41. #10622826C22semidirect
42. #10622825C22semidirect
43. C2×C11⋊#95C22semidirect
44. C2×C11⋊#95C22semidirect
45. C2×C11⋊#95C22semidirect
46. #10622607C22semidirect
47. #10622574C22semidirect
48. #10622568C22semidirect
49. #10622556C22semidirect
50. #10622553C22semidirect
67. C23×C4×C11D4semidirect
74. C23×C4×C11C23semidirect
88. C2×C11×C4⋊C4C23semidirect
92. C2×C11×C22⋊C4C23semidirect
94. C2×C42×C11C23semidirect
100. C2×C22⋊Dic11C23semidirect
115. C2×C4⋊Dic11C23semidirect
117. C2×Dic11⋊C4C23semidirect
118. C11⋊#95C23semidirect
119. C11⋊#95C23semidirect
120. C11⋊#95C23semidirect
173. C22×C4×C11C2×D4semidirect
215. C22×C4×D4D11semidirect
309. C24×C4C2×D11semidirect
315. C2×C4×D4C2×D11semidirect
318. C22×C4⋊C4C2×D11semidirect
330. C22×C22⋊C4C2×D11semidirect
331. C22×C42C2×D11semidirect
408. C23×C4C22⋊D11semidirect
415. C23×C4C22×D11semidirect
424. C2×C4⋊C4C22×D11semidirect
445. C2×C22⋊C4C22×D11semidirect
447. C2×C42C22×D11semidirect
453. C2×C11#2534semidirect
531. C22×C4C2×C22⋊D11semidirect
551. C11C2×#2534semidirect
673. C2#13073502direct (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
C23×(C2×D11)⋊C42
#130735022
C2×#106226072
C2×#106225742
C2×#106225532
C2×#106228262
C2×#106225562
C2×#106228252
C2×#106225682
C22×C4×D4×C112
C2×#253411