Finite Group Databasebeta

← C2×#13073506 #14923781

Subgroups — C2×#13073506 #14923781

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×#66982C211yesmaximal, characteristic, complemented
2C22×#67006C211yesmaximal, characteristic
3C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
4#13073506C2116yesmaximal, direct product factor
5C2×#10622561C212yesmaximal, complemented
6C2×#10622574C212yesmaximal, complemented
7C2×#10622557C212yesmaximal, complemented
8C2×#10622569C212yesmaximal, complemented
9C2×#10622824C211yesmaximal, characteristic, complemented
10C2×#10622825C211yesmaximal, characteristic, complemented
11C2×#10622860C211yesmaximal, characteristic, complemented
12C23×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13C26×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2212yes—
17C23×C22⋊D11C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic, complemented
19C22×C11×C22⋊C4—28no—
20C22×C11×C22⋊C4C2212yes—
21C22×C11×C22⋊C4C2212yes—
22C22×C11×C22⋊C4C2218yescomplemented
23C2×#67006—28no—
24C2×#67006C2218yes—
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2211yescharacteristic
27C22×C22⋊Dic11C2212yes—
28C22×C22⋊Dic11C2211yescharacteristic
29C22×C22⋊Dic11C2212yes—
30C22×C22⋊Dic11C2212yes—
31C2×#66982—28no—
32C2×#66982C2218yescomplemented
33C2×C4×C22⋊D11—28no—
34C2×C4×C22⋊D11C2218yescomplemented
35C22×(C2×D11)⋊C4C2212yescomplemented
36C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
37C22×C4⋊Dic11C2212yescomplemented
38C22×Dic11⋊C4C2211yescharacteristic, complemented
39C22×Dic11⋊C4C2212yescomplemented
40C22×C4×Dic11C2211yescharacteristic, complemented
41#10622860C2218yescomplemented
42#10622825C2218yescomplemented
43#10622824C2218yescomplemented
44C2×C11⋊#95C2212yescomplemented
45C2×C11⋊#95C2212yescomplemented
46C2×C11⋊#95C2212yescomplemented
47#10622574C22116yescomplemented
48#10622569C22116yescomplemented
49#10622561C22116yescomplemented
50#10622557C22116yescomplemented
51C25×C11—24no—
52C25×C11—28no—
53C25×C11—24no—
54C25×C11—24no—
55C25×C11—44no—
56C25×C11C2312yes—
57C25×C11C2314yes—
58C25×C11C2311yescharacteristic
59C24×D11C2311yescharacteristic
60C23×C4×C11—24no—
61C23×C4×C11—24no—
62C23×C4×C11—24no—
63C23×C4×C11—44no—
64C23×C4×C11D418yescomplemented
65C23×C4×C11C2312yes—
66C23×C4×C11C2314yes—
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2314yes—
70C22×C22⋊D11—24no—
71C22×C22⋊D11—24no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—28no—
74C22×C22⋊D11—44no—
75C22×C22⋊D11D418yes—
76C22×C22⋊D11C2318yes—
77C22×C22⋊D11C2314yes—
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2312yes—
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2312yes—
82C23×Dic11C2311yescharacteristic
83C22×C4×D11—24no—
84C22×C4×D11—44no—
85C22×C4×D11C2314yescomplemented
86C2×C11×C22⋊C4—28no—
87C2×C11×C22⋊C4—28no—
88C2×C11×C22⋊C4—232no—
89C2×C11×C22⋊C4C2318yes—
90C2×C11×C22⋊C4C2318yes—
91#67006—232no—
92C2×C22⋊Dic11—24no—
93C2×C22⋊Dic11—24no—
94C2×C22⋊Dic11—24no—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11—28no—
97C2×C22⋊Dic11—44no—
98C2×C22⋊Dic11C2314yes—
99C2×C22⋊Dic11C2314yes—
100C2×C22⋊Dic11C2318yes—
101C2×C22⋊Dic11C2318yes—
102C2×C22⋊Dic11C2314yes—
103C2×C22⋊Dic11C2318yes—
104#66982—232no—
105C4×C22⋊D11—232no—
106C2×(C2×D11)⋊C4—28no—
107C2×(C2×D11)⋊C4—24no—
108C2×(C2×D11)⋊C4C2314yescomplemented
109C2×(C2×D11)⋊C4C2318yescomplemented
110C2×C4⋊Dic11—44no—
111C2×C4⋊Dic11C2318yescomplemented
112C2×Dic11⋊C4—24no—
113C2×Dic11⋊C4—28no—
114C2×Dic11⋊C4C2314yescomplemented
115C2×Dic11⋊C4C2318yescomplemented
116C2×C4×Dic11—24no—
117C2×C4×Dic11C2314yescomplemented
118C11⋊#95C2318yescomplemented
119C11⋊#95C2318yescomplemented
120C11⋊#95C2318yescomplemented
121C2×#2534—111nomaximal, Sylow
122C24×C11—24no—
123C24×C11—24no—
124C24×C11—232no—
125C24×C11—24no—
126C24×C11—28no—
127C24×C11—24no—
128C24×C11—216no—
129C24×C11—24no—
130C24×C11—24no—
131C24×C11—24no—
132C24×C11—24no—
133C24×C11—28no—
134C24×C11—28no—
135C24×C11—48no—
136C24×C11—432no—
137C24×C11—432no—
138C24×C11—416no—
139C24×C11—416no—
140C24×C11C2×D414yes—
141C24×C11C2×D414yes—
142C24×C11#4118yes—
143C24×C11#4114yes—
144C24×C11C2414yes—
145C24×C11C2412yes—
146C24×C11C2411yescharacteristic
147C23×D11—22no—
148C23×D11—22no—
149C23×D11—24no—
150C23×D11—24no—
151C23×D11C2×D414yes—
152C23×D11C2412yes—
153C22×C4×C11—24no—
154C22×C4×C11—24no—
155C22×C4×C11—24no—
156C22×C4×C11—28no—
157C22×C4×C11—28no—
158C22×C4×C11—24no—
159C22×C4×C11—28no—
160C22×C4×C11—24no—
161C22×C4×C11—416no—
162C22×C4×C11—48no—
163C22×C4×C11—416no—
164C22×C4×C11C2×D414yes—
165C22×C4×C11C2×D414yes—
166C22×C4×C11C2×D4116yescomplemented
167C22×C4×C11C2414yes—
168C22×C4×C11C2412yes—
169C22×C4×C11C2412yes—
170C2×C22⋊D11—232no—
171C2×C22⋊D11—28no—
172C2×C22⋊D11—28no—
173C2×C22⋊D11—216no—
174C2×C22⋊D11—216no—
175C2×C22⋊D11—48no—
176C2×C22⋊D11—432no—
177C2×C22⋊D11C2×D4116yes—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—24no—
181C22×Dic11—22no—
182C22×Dic11—24no—
183C22×Dic11—22no—
184C22×Dic11—24no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—24no—
189C22×Dic11—24no—
190C22×Dic11C2×D414yes—
191C22×Dic11C2414yes—
192C22×Dic11C2412yes—
193C22×Dic11C2412yes—
194C22×Dic11C2414yes—
195C22×Dic11C2412yes—
196C2×C4×D11—28no—
197C2×C4×D11—48no—
198C2×C4×D11—416no—
199C11×C22⋊C4—216no—
200C11×C22⋊C4—216no—
201C22⋊Dic11—216no—
202C22⋊Dic11—28no—
203C22⋊Dic11—28no—
204C22⋊Dic11—28no—
205C22⋊Dic11—216no—
206C22⋊Dic11—48no—
207(C2×D11)⋊C4—216no—
208(C2×D11)⋊C4—28no—
209C4⋊Dic11—48no—
210Dic11⋊C4—216no—
211Dic11⋊C4—28no—
212C4×Dic11—28no—
213C22×#123—111no—
214C22×#120—111no—
215C22×C4×D4—111no—
216C23×C22⋊C4D1111yescharacteristic, complemented
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—232no—
232C23×C11—216no—
233C23×C11—216no—
234C23×C11—216no—
235C23×C11—24no—
236C23×C11—24no—
237C23×C11—24no—
238C23×C11—24no—
239C23×C11—24no—
240C23×C11—24no—
241C23×C11—432no—
242C23×C11—432no—
243C23×C11—416no—
244C23×C11—4128no—
245C23×C11—416no—
246C23×C11—48no—
247C23×C11—48no—
248C23×C11—48no—
249C23×C11—48no—
250C23×C11#121116yes—
251C23×C11C22×D414yes—
252C23×C11C22×D412yes—
253C23×C11C22×D414yes—
254C23×C11C22×D412yes—
255C23×C11C2×#4118yes—
256C23×C11C2×#4114yes—
257C23×C11C2×#4114yes—
258C23×C11C2×#4112yes—
259C23×C11H(5,𝔽2)14yes—
260C23×C11C2511yescharacteristic
261C22×D11—28no—
262C22×D11—216no—
263C22×D11—22no—
264C22×D11—24no—
265C22×D11—22no—
266C22×D11—24no—
267C22×D11—44no—
268C22×D11—44no—
269C22×D11—48no—
270C22×D11C22×D414yes—
271C2×C4×C11—28no—
272C2×C4×C11—28no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—416no—
279C2×C4×C11—416no—
280C2×C4×C11—48no—
281C2×C4×C11C22×D414yes—
282C2×C4×C11C22×D414yes—
283C22⋊D11—232no—
284C22⋊D11—432no—
285C2×Dic11—28no—
286C2×Dic11—22no—
287C2×Dic11—22no—
288C2×Dic11—22no—
289C2×Dic11—24no—
290C2×Dic11—22no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—44no—
299C2×Dic11—44no—
300C2×Dic11—48no—
301C2×Dic11—48no—
302C2×Dic11C22×D414yes—
303C4×D11—416no—
304C26C2×D1111yescharacteristic
305C23×D4—111no—
306C23×D4—112no—
307C24×C4—111no—
308C24×C4C2×D1111yescharacteristic
309C24×C4C2×D1111yescharacteristic
310C2×#123—118no—
311C2×#123—228no—
312C2×#120—118no—
313C2×#120—228no—
314C2×C4×D4—118no—
315C2×C4×D4—228no—
316C22×C4⋊C4—111no—
317C22×C4⋊C4—112no—
318C22×C4⋊C4—112no—
319C22×C22⋊C4—28no—
320C22×C22⋊C4—112no—
321C22×C22⋊C4—112no—
322C22×C22⋊C4—111no—
323C22×C22⋊C4—111no—
324C22×C22⋊C4—111no—
325C22×C22⋊C4—111no—
326C22×C22⋊C4—112no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4C2×D1112yes—
329C22×C22⋊C4C2×D1112yes—
330C22×C22⋊C4C2×D1118yescomplemented
331C22×C42—111no—
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—28no—
348C22×C11—28no—
349C22×C11—28no—
350C22×C11—464no—
351C22×C11—44no—
352C22×C11—44no—
353C22×C11—44no—
354C22×C11—44no—
355C22×C11—432no—
356C22×C11C2×#12118yes—
357C22×C11C2×#12114yes—
358C22×C11#52514yes—
359C22×C11#53414yes—
360C22×C11#54618yes—
361C22×C11#55118yes—
362C22×C11C23×D411yescharacteristic
363C22×C11C23×D411yescharacteristic
364C22×C11C22×#4112yes—
365C22×C11C22×#4111yescharacteristic
366C22×C11C2×H(5,𝔽2)12yes—
367C2×D11—24no—
368C2×D11—28no—
369C2×D11—42no—
370C2×D11—42no—
371C2×D11—44no—
372C2×D11—416no—
373C4×C11—24no—
374C4×C11—24no—
375C4×C11—44no—
376Dic11—24no—
377Dic11—42no—
378Dic11—42no—
379Dic11—44no—
380Dic11—44no—
381C25—28no—
382C25—24no—
383C25—24no—
384C25—24no—
385C25—44no—
386C25—111no—
387C25C22×D1112yes—
388C25C22×D1114yes—
389C25C22×D1111yescharacteristic
390C22×D4—118no—
391C22×D4—114no—
392C22×D4—118no—
393C22×D4—224no—
394C22×D4—224no—
395C22×D4—228no—
396C22×D4—228no—
397C22×D4—444no—
398C23×C4—24no—
399C23×C4—24no—
400C23×C4—24no—
401C23×C4—44no—
402C23×C4—111no—
403C23×C4—112no—
404C23×C4—111no—
405C23×C4—111no—
406C23×C4—112no—
407C23×C4—114no—
408C23×C4—224no—
409C23×C4—444no—
410C23×C4C22⋊D1118yescomplemented
411C23×C4C22×D1114yes—
412C23×C4C22×D1112yes—
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1111yescharacteristic
415C23×C4C22×D1114yes—
416#123—2232no—
417#120—2232no—
418C4×D4—2232no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—118no—
421C2×C4⋊C4—118no—
422C2×C4⋊C4—228no—
423C2×C4⋊C4—224no—
424C2×C4⋊C4—444no—
425C2×C22⋊C4—28no—
426C2×C22⋊C4—28no—
427C2×C22⋊C4—232no—
428C2×C22⋊C4—114no—
429C2×C22⋊C4—114no—
430C2×C22⋊C4—118no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4—114no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—118no—
436C2×C22⋊C4—228no—
437C2×C22⋊C4—228no—
438C2×C22⋊C4—228no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—444no—
444C2×C22⋊C4C22×D1118yes—
445C2×C22⋊C4C22×D1118yes—
446C2×C42—114no—
447C2×C42—224no—
448#95—118no—
449#95—118no—
450#95—118no—
451C2×C11—28no—
452C2×C11—48no—
453C2×C11#253418yescomplemented
454C2×C11C22×#12111yescharacteristic
455C2×C11C2×#52511yescharacteristic
456C2×C11C2×#53411yescharacteristic
457C2×C11C2×#54612yes—
458C2×C11C2×#55112yes—
459D11—44no—
460C24—24no—
461C24—24no—
462C24—232no—
463C24—216no—
464C24—24no—
465C24—24no—
466C24—24no—
467C24—24no—
468C24—24no—
469C24—28no—
470C24—24no—
471C24—28no—
472C24—28no—
473C24—48no—
474C24—432no—
475C24—432no—
476C24—416no—
477C24—416no—
478C24—114no—
479C24—112no—
480C24—224no—
481C24—222no—
482C24—224no—
483C24—222no—
484C24#433918yes—
485C24D4×D1114yes—
486C24#434114yes—
487C24C2×C22⋊D1114yes—
488C24C23×D1114yes—
489C24C23×D1112yes—
490C24C23×D1111yescharacteristic
491C2×D4—1116no—
492C2×D4—2232no—
493C2×D4—228no—
494C2×D4—228no—
495C2×D4—2216no—
496C2×D4—2216no—
497C2×D4—448no—
498C2×D4—4432no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—28no—
503C22×C4—28no—
504C22×C4—24no—
505C22×C4—28no—
506C22×C4—24no—
507C22×C4—48no—
508C22×C4—416no—
509C22×C4—416no—
510C22×C4—114no—
511C22×C4—112no—
512C22×C4—114no—
513C22×C4—112no—
514C22×C4—112no—
515C22×C4—114no—
516C22×C4—222no—
517C22×C4—222no—
518C22×C4—224no—
519C22×C4—224no—
520C22×C4—224no—
521C22×C4—224no—
522C22×C4—224no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4—224no—
526C22×C4—222no—
527C22×C4—222no—
528C22×C4—228no—
529C22×C4—448no—
530C22×C4—4416no—
531C22×C4C2×C22⋊D1114yes—
532C22×C4C2×C22⋊D1114yes—
533C22×C4C2×C22⋊D11116yescomplemented
534C22×C4C23×D1114yes—
535C22×C4C23×D1112yes—
536C22×C4C23×D1112yes—
537C4⋊C4—2216no—
538C4⋊C4—228no—
539C4⋊C4—448no—
540C22⋊C4—216no—
541C22⋊C4—216no—
542C22⋊C4—2216no—
543C22⋊C4—2216no—
544C22⋊C4—2216no—
545C22⋊C4—228no—
546C22⋊C4—228no—
547C22⋊C4—228no—
548C22⋊C4—228no—
549C22⋊C4—448no—
550C42—228no—
551C11C2×#253411yescharacteristic, complemented, Sylow
552C23—216no—
553C23—216no—
554C23—28no—
555C23—28no—
556C23—24no—
557C23—24no—
558C23—232no—
559C23—216no—
560C23—216no—
561C23—216no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—432no—
569C23—432no—
570C23—416no—
571C23—4128no—
572C23—48no—
573C23—48no—
574C23—416no—
575C23—48no—
576C23—48no—
577C23—114no—
578C23—2216no—
579C23—228no—
580C23—224no—
581C23—222no—
582C23—224no—
583C23—222no—
584C23—448no—
585C23—444no—
586C23—444no—
587C23#66991116yes—
588C23C2×#433918yes—
589C23C2×#433914yes—
590C23C2×D4×D1114yes—
591C23C2×D4×D1112yes—
592C23C2×#434114yes—
593C23C2×#434112yes—
594C23#6703714yes—
595C23C22×C22⋊D1114yes—
596C23C22×C22⋊D1112yes—
597C23C24×D1111yescharacteristic
598D4—2232no—
599D4—4432no—
600C2×C4—28no—
601C2×C4—28no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—416no—
608C2×C4—416no—
609C2×C4—48no—
610C2×C4—114no—
611C2×C4—228no—
612C2×C4—222no—
613C2×C4—222no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—224no—
621C2×C4—224no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—4416no—
625C2×C4—448no—
626C2×C4—448no—
627C2×C4—444no—
628C2×C4—444no—
629C2×C4C22×C22⋊D1114yes—
630C2×C4C22×C22⋊D1114yes—
631C22—28no—
632C22—24no—
633C22—24no—
634C22—232no—
635C22—28no—
636C22—28no—
637C22—28no—
638C22—28no—
639C22—464no—
640C22—44no—
641C22—44no—
642C22—432no—
643C22—44no—
644C22—44no—
645C22—228no—
646C22—224no—
647C22—444no—
648C22—442no—
649C22—442no—
650C22—4416no—
651C22#1062302118yes—
652C22#1062302618yes—
653C22#1062332214yes—
654C22C2×#6699118yes—
655C22C2×#6699114yes—
656C22#1062333514yes—
657C22C22×#433912yes—
658C22C22×D4×D1111yescharacteristic
659C22C22×#434111yescharacteristic
660C22C2×#6703712yes—
661C22C23×C22⋊D1111yescharacteristic
662C4—24no—
663C4—24no—
664C4—44no—
665C4—224no—
666C4—442no—
667C4—442no—
668C4—444no—
669C4—444no—
670C2—28no—
671C2—48no—
672C2—444no—
673C2#1307350618yesdirect product factor
674C2C22×#6699111yescharacteristic
675C2C2×#1062332211yescharacteristic
676C2C2×#1062333511yescharacteristic
677C2C2×#1062302112yes—
678C2C2×#1062302612yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC23×C11×C22⋊C4C2
socleC24×C11C24
prime radicalC22×#67006C2
hypercenterC23×C22⋊C4D11
hypocenterC11C2×#2534
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#66982C2semidirect
3. C22×C4×C22⋊D11C2semidirect
4. #13073506C2direct (N × H)
5. C2×#10622561C2semidirect
6. C2×#10622574C2semidirect
7. C2×#10622557C2semidirect
8. C2×#10622569C2semidirect
9. C2×#10622824C2semidirect
10. C2×#10622825C2semidirect
11. C2×#10622860C2semidirect
12. C23×C11×C22⋊C4C2semidirect
18. C23×C4×D11C22semidirect
22. C22×C11×C22⋊C4C22semidirect
32. C2×#66982C22semidirect
34. C2×C4×C22⋊D11C22semidirect
35. C22×(C2×D11)⋊C4C22semidirect
36. C22×(C2×D11)⋊C4C22semidirect
37. C22×C4⋊Dic11C22semidirect
38. C22×Dic11⋊C4C22semidirect
39. C22×Dic11⋊C4C22semidirect
40. C22×C4×Dic11C22semidirect
41. #10622860C22semidirect
42. #10622825C22semidirect
43. #10622824C22semidirect
44. C2×C11⋊#95C22semidirect
45. C2×C11⋊#95C22semidirect
46. C2×C11⋊#95C22semidirect
47. #10622574C22semidirect
48. #10622569C22semidirect
49. #10622561C22semidirect
50. #10622557C22semidirect
64. C23×C4×C11D4semidirect
85. C22×C4×D11C23semidirect
108. C2×(C2×D11)⋊C4C23semidirect
109. C2×(C2×D11)⋊C4C23semidirect
111. C2×C4⋊Dic11C23semidirect
114. C2×Dic11⋊C4C23semidirect
115. C2×Dic11⋊C4C23semidirect
117. C2×C4×Dic11C23semidirect
118. C11⋊#95C23semidirect
119. C11⋊#95C23semidirect
120. C11⋊#95C23semidirect
166. C22×C4×C11C2×D4semidirect
216. C23×C22⋊C4D11semidirect
330. C22×C22⋊C4C2×D11semidirect
410. C23×C4C22⋊D11semidirect
453. C2×C11#2534semidirect
533. C22×C4C2×C22⋊D11semidirect
551. C11C2×#2534semidirect
673. C2#13073506direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669822
C22×#670062
C22×C4×C22⋊D112
#130735062
C2×#106225612
C2×#106225742
C2×#106225572
C2×#106225692
C2×#106228242
C2×#106228252
C2×#106228602
C23×C11×C22⋊C42
C2×#253411