Finite Group Databasebeta

← C2×#13072001 #14922395

Subgroups — C2×#13072001 #14922395

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×#66982C211yesmaximal, characteristic, complemented
2C22×#67006C211yesmaximal, characteristic
3C22×#66979C211yesmaximal, characteristic, complemented
4#13072001C2116yesmaximal, direct product factor
5C2×#10622561C212yesmaximal, complemented
6C2×#10622574C212yesmaximal, complemented
7C2×#10622570C212yesmaximal, complemented
8C2×#10622558C212yesmaximal, complemented
9C2×#10622826C211yesmaximal, characteristic, complemented
10C2×#10622823C211yesmaximal, characteristic, complemented
11C2×#10622860C211yesmaximal, characteristic, complemented
12C23×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13C26×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2211yescharacteristic
17C23×C22⋊D11C2212yes—
18C22×C11×C22⋊C4—28no—
19C22×C11×C22⋊C4C2212yes—
20C22×C11×C22⋊C4C2212yes—
21C22×C11×C22⋊C4C2218yescomplemented
22C2×#67006—28no—
23C2×#67006C2218yes—
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2212yes—
27C22×C22⋊Dic11C2212yes—
28C22×C22⋊Dic11C2212yes—
29C22×C22⋊Dic11C2211yescharacteristic
30C2×#66982—28no—
31C2×#66982C2218yescomplemented
32C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
33C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
34C22×(C2×D11)⋊C4C2212yescomplemented
35C2×#66979—28no—
36C2×#66979C2218yescomplemented
37C22×C4⋊Dic11C2212yescomplemented
38C22×Dic11⋊C4C2211yescharacteristic, complemented
39C22×Dic11⋊C4C2211yescharacteristic, complemented
40C22×Dic11⋊C4C2212yescomplemented
41C22×C4×Dic11C2212yescomplemented
42#10622860C2218yescomplemented
43#10622826C2218yescomplemented
44#10622823C2218yescomplemented
45C2×C11⋊#95C2212yescomplemented
46C2×C11⋊#95C2212yescomplemented
47#10622574C22116yescomplemented
48#10622570C22116yescomplemented
49#10622561C22116yescomplemented
50#10622558C22116yescomplemented
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×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2314yes—
69C23×C4×C11C2314yes—
70C22×C22⋊D11—24no—
71C22×C22⋊D11—24no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—24no—
74C22×C22⋊D11—28no—
75C22×C22⋊D11—44no—
76C22×C22⋊D11C2314yes—
77C22×C22⋊D11C2318yes—
78C23×Dic11C2312yes—
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2312yes—
83C2×C11×C22⋊C4—28no—
84C2×C11×C22⋊C4—28no—
85C2×C11×C22⋊C4—232no—
86C2×C11×C22⋊C4C2318yes—
87C2×C11×C22⋊C4C2318yes—
88#67006—232no—
89C2×C22⋊Dic11—24no—
90C2×C22⋊Dic11—24no—
91C2×C22⋊Dic11—28no—
92C2×C22⋊Dic11—28no—
93C2×C22⋊Dic11—44no—
94C2×C22⋊Dic11D418yes—
95C2×C22⋊Dic11C2314yes—
96C2×C22⋊Dic11C2314yes—
97C2×C22⋊Dic11C2318yes—
98C2×C22⋊Dic11C2318yes—
99C2×C22⋊Dic11C2318yes—
100C2×C22⋊Dic11C2314yes—
101#66982—232no—
102C2×(C2×D11)⋊C4—24no—
103C2×(C2×D11)⋊C4—24no—
104C2×(C2×D11)⋊C4—44no—
105C2×(C2×D11)⋊C4C2314yescomplemented
106C2×(C2×D11)⋊C4C2314yescomplemented
107C2×(C2×D11)⋊C4C2318yescomplemented
108#66979—232no—
109C2×C4⋊Dic11—28no—
110C2×C4⋊Dic11C2318yescomplemented
111C2×Dic11⋊C4—24no—
112C2×Dic11⋊C4—24no—
113C2×Dic11⋊C4—44no—
114C2×Dic11⋊C4C2314yescomplemented
115C2×Dic11⋊C4C2314yescomplemented
116C2×Dic11⋊C4C2318yescomplemented
117C2×C4×Dic11—28no—
118C2×C4×Dic11C2318yescomplemented
119C11⋊#95C2318yescomplemented
120C11⋊#95C2318yescomplemented
121C2×#2411—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—22no—
150C23×D11—24no—
151C23×D11—24no—
152C23×D11C2412yes—
153C22×C4×C11—232no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—28no—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—28no—
160C22×C4×C11—28no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—48no—
165C22×C4×C11—416no—
166C22×C4×C11C2×D414yes—
167C22×C4×C11C2×D414yes—
168C22×C4×C11C2×D4116yescomplemented
169C22×C4×C11C2414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C2×C22⋊D11—216no—
173C2×C22⋊D11—28no—
174C2×C22⋊D11—28no—
175C2×C22⋊D11—216no—
176C2×C22⋊D11—28no—
177C2×C22⋊D11—48no—
178C2×C22⋊D11—432no—
179C2×C22⋊D11—416no—
180C22×Dic11—24no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—22no—
189C22×Dic11—24no—
190C22×Dic11—24no—
191C22×Dic11—24no—
192C22×Dic11C2×D418yes—
193C22×Dic11C2412yes—
194C22×Dic11C2412yes—
195C22×Dic11C2414yes—
196C22×Dic11C2412yes—
197C22×Dic11C2414yes—
198C11×C22⋊C4—216no—
199C11×C22⋊C4—216no—
200C22⋊Dic11—216no—
201C22⋊Dic11—28no—
202C22⋊Dic11—28no—
203C22⋊Dic11—216no—
204C22⋊Dic11—48no—
205C22⋊Dic11C2×D4116yes—
206(C2×D11)⋊C4—28no—
207(C2×D11)⋊C4—28no—
208(C2×D11)⋊C4—48no—
209C4⋊Dic11—216no—
210Dic11⋊C4—28no—
211Dic11⋊C4—28no—
212Dic11⋊C4—48no—
213C4×Dic11—216no—
214C22×#123—111no—
215C22×#120—111no—
216C22×#117—111no—
217C23×C22⋊C4D1111yescharacteristic, complemented
218#2411—1116no—
219C2×#396—112no—
220C2×#394—112no—
221C2×#390—112no—
222C2×#388—112no—
223C2×#386—111no—
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—232no—
233C23×C11—216no—
234C23×C11—216no—
235C23×C11—216no—
236C23×C11—24no—
237C23×C11—24no—
238C23×C11—24no—
239C23×C11—24no—
240C23×C11—24no—
241C23×C11—24no—
242C23×C11—432no—
243C23×C11—432no—
244C23×C11—4128no—
245C23×C11—416no—
246C23×C11—416no—
247C23×C11—48no—
248C23×C11—48no—
249C23×C11—48no—
250C23×C11—48no—
251C23×C11#121116yes—
252C23×C11C22×D414yes—
253C23×C11C22×D412yes—
254C23×C11C22×D414yes—
255C23×C11C22×D412yes—
256C23×C11C2×#4118yes—
257C23×C11C2×#4114yes—
258C23×C11C2×#4114yes—
259C23×C11C2×#4112yes—
260C23×C11H(5,𝔽2)14yes—
261C23×C11C2511yescharacteristic
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—24no—
265C22×D11—22no—
266C22×D11—24no—
267C22×D11—44no—
268C22×D11—44no—
269C22×D11—44no—
270C22×D11—48no—
271C22×D11—48no—
272C2×C4×C11—28no—
273C2×C4×C11—28no—
274C2×C4×C11—232no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—416no—
283C2×C4×C11—48no—
284C2×C4×C11C22×D414yes—
285C2×C4×C11C22×D414yes—
286C22⋊D11—432no—
287C22⋊D11—416no—
288C2×Dic11—216no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—24no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—22no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—22no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—44no—
302C2×Dic11—44no—
303C2×Dic11—44no—
304C2×Dic11—48no—
305C2×Dic11C22×D418yes—
306C26C2×D1111yescharacteristic
307C23×D4—111no—
308C23×D4—112no—
309C24×C4C2×D1111yescharacteristic
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—28no—
322C22×C22⋊C4—111no—
323C22×C22⋊C4—112no—
324C22×C22⋊C4—112no—
325C22×C22⋊C4—111no—
326C22×C22⋊C4—111no—
327C22×C22⋊C4—111no—
328C22×C22⋊C4—111no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4C2×D1112yes—
332C22×C22⋊C4C2×D1112yes—
333C22×C22⋊C4C2×D1118yescomplemented
334C22×C42—112no—
335#396—1116no—
336#394—1116no—
337#390—1116no—
338#388—1116no—
339#386—118no—
340#385—118no—
341#379—118no—
342C2×#95—112no—
343C2×#95—112no—
344C22×C11—232no—
345C22×C11—24no—
346C22×C11—24no—
347C22×C11—28no—
348C22×C11—28no—
349C22×C11—28no—
350C22×C11—28no—
351C22×C11—28no—
352C22×C11—464no—
353C22×C11—44no—
354C22×C11—432no—
355C22×C11—44no—
356C22×C11—44no—
357C22×C11—44no—
358C22×C11C2×#12118yes—
359C22×C11C2×#12114yes—
360C22×C11#52514yes—
361C22×C11#53514yes—
362C22×C11#54618yes—
363C22×C11#55118yes—
364C22×C11C23×D411yescharacteristic
365C22×C11C23×D411yescharacteristic
366C22×C11C22×#4112yes—
367C22×C11C22×#4111yescharacteristic
368C22×C11C2×H(5,𝔽2)12yes—
369C2×D11—42no—
370C2×D11—42no—
371C2×D11—42no—
372C2×D11—44no—
373C2×D11—44no—
374C2×D11—88no—
375C4×C11—24no—
376C4×C11—24no—
377C4×C11—44no—
378Dic11—28no—
379Dic11—42no—
380Dic11—42no—
381Dic11—42no—
382Dic11—44no—
383C25—28no—
384C25—24no—
385C25—24no—
386C25—24no—
387C25—44no—
388C25—111no—
389C25C22×D1112yes—
390C25C22×D1114yes—
391C25C22×D1111yescharacteristic
392C22×D4—114no—
393C22×D4—118no—
394C22×D4—228no—
395C22×D4—228no—
396C22×D4—224no—
397C22×D4—224no—
398C22×D4—224no—
399C22×D4—444no—
400C23×C4—24no—
401C23×C4—24no—
402C23×C4—24no—
403C23×C4—44no—
404C23×C4—112no—
405C23×C4—111no—
406C23×C4—111no—
407C23×C4—112no—
408C23×C4—111no—
409C23×C4C22⋊D1118yescomplemented
410C23×C4C22×D1112yes—
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1114yes—
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—28no—
427C2×C22⋊C4—28no—
428C2×C22⋊C4—232no—
429C2×C22⋊C4—118no—
430C2×C22⋊C4—114no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4—114no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—114no—
436C2×C22⋊C4—114no—
437C2×C22⋊C4—118no—
438C2×C22⋊C4—118no—
439C2×C22⋊C4—228no—
440C2×C22⋊C4—228no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—224no—
444C2×C22⋊C4—224no—
445C2×C22⋊C4—444no—
446C2×C22⋊C4—444no—
447C2×C22⋊C4C22×D1118yes—
448C2×C22⋊C4C22×D1118yes—
449C2×C42—118no—
450C2×C42—228no—
451#95—118no—
452#95—118no—
453C2×C11—28no—
454C2×C11—48no—
455C2×C11#241118yescomplemented
456C2×C11C22×#12111yescharacteristic
457C2×C11C2×#52511yescharacteristic
458C2×C11C2×#53511yescharacteristic
459C2×C11C2×#54612yes—
460C2×C11C2×#55112yes—
461D11—82no—
462C24—24no—
463C24—24no—
464C24—232no—
465C24—216no—
466C24—24no—
467C24—24no—
468C24—24no—
469C24—24no—
470C24—24no—
471C24—28no—
472C24—24no—
473C24—28no—
474C24—28no—
475C24—48no—
476C24—432no—
477C24—432no—
478C24—416no—
479C24—416no—
480C24—112no—
481C24—224no—
482C24—222no—
483C24—222no—
484C24—224no—
485C24—222no—
486C24#433918yes—
487C24D4×D1114yes—
488C24#434114yes—
489C24C2×C22⋊D1114yes—
490C24C23×D1114yes—
491C24C23×D1112yes—
492C24C23×D1111yescharacteristic
493C2×D4—2216no—
494C2×D4—2216no—
495C2×D4—228no—
496C2×D4—228no—
497C2×D4—228no—
498C2×D4—448no—
499C2×D4—4432no—
500C2×D4—4416no—
501C22×C4—232no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—28no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—28no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—28no—
511C22×C4—24no—
512C22×C4—48no—
513C22×C4—416no—
514C22×C4—118no—
515C22×C4—114no—
516C22×C4—112no—
517C22×C4—112no—
518C22×C4—114no—
519C22×C4—112no—
520C22×C4—224no—
521C22×C4—224no—
522C22×C4—224no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—224no—
528C22×C4—224no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4C2×C22⋊D1114yes—
533C22×C4C2×C22⋊D1114yes—
534C22×C4C2×C22⋊D11116yescomplemented
535C22×C4C23×D1114yes—
536C22×C4C23×D1112yes—
537C22×C4C23×D1112yes—
538C4⋊C4—2216no—
539C4⋊C4—228no—
540C4⋊C4—228no—
541C4⋊C4—448no—
542C22⋊C4—216no—
543C22⋊C4—216no—
544C22⋊C4—1116no—
545C22⋊C4—2216no—
546C22⋊C4—2216no—
547C22⋊C4—228no—
548C22⋊C4—228no—
549C22⋊C4—228no—
550C22⋊C4—228no—
551C22⋊C4—448no—
552C22⋊C4—448no—
553C42—2216no—
554C11C2×#241111yescharacteristic, complemented, Sylow
555C23—216no—
556C23—216no—
557C23—28no—
558C23—28no—
559C23—24no—
560C23—24no—
561C23—232no—
562C23—216no—
563C23—216no—
564C23—216no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—432no—
572C23—432no—
573C23—416no—
574C23—4128no—
575C23—48no—
576C23—48no—
577C23—416no—
578C23—48no—
579C23—48no—
580C23—224no—
581C23—222no—
582C23—222no—
583C23—224no—
584C23—222no—
585C23—448no—
586C23—448no—
587C23—444no—
588C23—444no—
589C23—444no—
590C23#66992116yes—
591C23C2×#433918yes—
592C23C2×#433914yes—
593C23C2×D4×D1114yes—
594C23C2×D4×D1112yes—
595C23C2×#434114yes—
596C23C2×#434112yes—
597C23#6703714yes—
598C23C22×C22⋊D1114yes—
599C23C22×C22⋊D1112yes—
600C23C24×D1111yescharacteristic
601D4—4432no—
602D4—4416no—
603C2×C4—28no—
604C2×C4—28no—
605C2×C4—232no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—416no—
614C2×C4—48no—
615C2×C4—118no—
616C2×C4—2216no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—224no—
621C2×C4—224no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—448no—
630C2×C4—444no—
631C2×C4—444no—
632C2×C4—444no—
633C2×C4C22×C22⋊D1114yes—
634C2×C4C22×C22⋊D1114yes—
635C22—28no—
636C22—24no—
637C22—24no—
638C22—232no—
639C22—28no—
640C22—28no—
641C22—28no—
642C22—28no—
643C22—464no—
644C22—44no—
645C22—44no—
646C22—432no—
647C22—44no—
648C22—44no—
649C22—444no—
650C22—442no—
651C22—442no—
652C22—444no—
653C22—442no—
654C22—888no—
655C22#1062302118yes—
656C22#1062302618yes—
657C22#1062332214yes—
658C22C2×#6699218yes—
659C22C2×#6699214yes—
660C22#1062333614yes—
661C22C22×#433912yes—
662C22C22×D4×D1111yescharacteristic
663C22C22×#434111yescharacteristic
664C22C2×#6703712yes—
665C22C23×C22⋊D1111yescharacteristic
666C4—24no—
667C4—24no—
668C4—44no—
669C4—228no—
670C4—442no—
671C4—442no—
672C4—444no—
673C4—442no—
674C2—28no—
675C2—48no—
676C2—882no—
677C2#1307200118yesdirect product factor
678C2C22×#6699211yescharacteristic
679C2C2×#1062332211yescharacteristic
680C2C2×#1062333611yescharacteristic
681C2C2×#1062302112yes—
682C2C2×#1062302612yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC23×C11×C22⋊C4C2
socleC24×C11C24
prime radicalC22×#67006C2
hypercenterC23×C22⋊C4D11
hypocenterC11C2×#2411
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×#66979C2semidirect
4. #13072001C2direct (N × H)
5. C2×#10622561C2semidirect
6. C2×#10622574C2semidirect
7. C2×#10622570C2semidirect
8. C2×#10622558C2semidirect
9. C2×#10622826C2semidirect
10. C2×#10622823C2semidirect
11. C2×#10622860C2semidirect
12. C23×C11×C22⋊C4C2semidirect
21. C22×C11×C22⋊C4C22semidirect
31. C2×#66982C22semidirect
32. C22×(C2×D11)⋊C4C22semidirect
33. C22×(C2×D11)⋊C4C22semidirect
34. C22×(C2×D11)⋊C4C22semidirect
36. C2×#66979C22semidirect
37. C22×C4⋊Dic11C22semidirect
38. C22×Dic11⋊C4C22semidirect
39. C22×Dic11⋊C4C22semidirect
40. C22×Dic11⋊C4C22semidirect
41. C22×C4×Dic11C22semidirect
42. #10622860C22semidirect
43. #10622826C22semidirect
44. #10622823C22semidirect
45. C2×C11⋊#95C22semidirect
46. C2×C11⋊#95C22semidirect
47. #10622574C22semidirect
48. #10622570C22semidirect
49. #10622561C22semidirect
50. #10622558C22semidirect
64. C23×C4×C11D4semidirect
105. C2×(C2×D11)⋊C4C23semidirect
106. C2×(C2×D11)⋊C4C23semidirect
107. C2×(C2×D11)⋊C4C23semidirect
110. C2×C4⋊Dic11C23semidirect
114. C2×Dic11⋊C4C23semidirect
115. C2×Dic11⋊C4C23semidirect
116. C2×Dic11⋊C4C23semidirect
118. C2×C4×Dic11C23semidirect
119. C11⋊#95C23semidirect
120. C11⋊#95C23semidirect
168. C22×C4×C11C2×D4semidirect
217. C23×C22⋊C4D11semidirect
333. C22×C22⋊C4C2×D11semidirect
409. C23×C4C22⋊D11semidirect
455. C2×C11#2411semidirect
534. C22×C4C2×C22⋊D11semidirect
554. C11C2×#2411semidirect
677. C2#13072001direct (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×#669792
#130720012
C2×#106225612
C2×#106225742
C2×#106225702
C2×#106225582
C2×#106228262
C2×#106228232
C2×#106228602
C23×C11×C22⋊C42
C2×#241111