Finite Group Databasebeta

← C2×#13072002 #14922397

Subgroups — C2×#13072002 #14922397

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×#66990C211yesmaximal, characteristic
2C22×#66979C211yesmaximal, characteristic, complemented
3C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
4#13072002C2116yesmaximal, direct product factor
5C2×#10622607C212yesmaximal, complemented
6C2×#10622574C212yesmaximal, complemented
7C2×#10622570C212yesmaximal, complemented
8C2×#10622603C212yesmaximal, complemented
9C2×#10622833C211yesmaximal, characteristic, complemented
10C2×#10622559C211yesmaximal, characteristic, complemented
11C2×#10622568C211yesmaximal, characteristic, complemented
12C22×C11×#123C211yesmaximal, characteristic, complemented
13C25×D11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2212yes—
17C24×Dic11C2211yescharacteristic
18C2×C11×#123—28no—
19C2×C11×#123C2218yescomplemented
20C22×C11×C4⋊C4C2211yescharacteristic, complemented
21C22×C11×C4⋊C4C2211yescharacteristic, complemented
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic, complemented
24C22×C11×C22⋊C4C2211yescharacteristic, complemented
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2211yescharacteristic
27C22×C22⋊Dic11C2212yescomplemented
28C2×#66990—28no—
29C2×#66990C2218yes—
30C22×(C2×D11)⋊C4—28no—
31C22×(C2×D11)⋊C4C2212yes—
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2212yes—
35C22×(C2×D11)⋊C4C2212yes—
36C22×(C2×D11)⋊C4C2218yescomplemented
37C2×#66979—28no—
38C2×#66979C2218yescomplemented
39C22×C4⋊Dic11C2212yescomplemented
40C22×Dic11⋊C4C2212yescomplemented
41C22×C4×Dic11C2212yescomplemented
42#10622833C2218yescomplemented
43C2×C11⋊#95C2212yescomplemented
44C2×C11⋊#95C2212yescomplemented
45#10622607C22116yescomplemented
46#10622603C22116yescomplemented
47#10622574C22116yescomplemented
48#10622570C22116yescomplemented
49#10622568C2218yescomplemented
50#10622559C2218yescomplemented
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—24no—
66C23×C4×C11D418yescomplemented
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2314yes—
73C22×C22⋊D11—28no—
74C22×C22⋊D11—28no—
75C22×C22⋊D11—44no—
76C22×C22⋊D11C2318yes—
77C23×Dic11—24no—
78C23×Dic11—44no—
79C23×Dic11C2312yes—
80C23×Dic11C2312yes—
81C23×Dic11C2312yes—
82C23×Dic11C2314yes—
83C11×#123—232no—
84C2×C11×C4⋊C4—24no—
85C2×C11×C4⋊C4—24no—
86C2×C11×C4⋊C4C2314yescomplemented
87C2×C11×C4⋊C4C2314yescomplemented
88C2×C11×C22⋊C4—24no—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—24no—
91C2×C11×C22⋊C4C2314yes—
92C2×C11×C22⋊C4C2314yescomplemented
93C2×C11×C22⋊C4C2314yescomplemented
94C2×C22⋊Dic11—24no—
95C2×C22⋊Dic11—44no—
96C2×C22⋊Dic11D418yes—
97C2×C22⋊Dic11C2314yes—
98C2×C22⋊Dic11C2314yes—
99C2×C22⋊Dic11C2318yescomplemented
100#66990—232no—
101C2×(C2×D11)⋊C4—28no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—28no—
104C2×(C2×D11)⋊C4—232no—
105C2×(C2×D11)⋊C4—28no—
106C2×(C2×D11)⋊C4—44no—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2318yes—
111C2×(C2×D11)⋊C4C2318yes—
112#66979—232no—
113C2×C4⋊Dic11—28no—
114C2×C4⋊Dic11C2318yescomplemented
115C2×Dic11⋊C4—44no—
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—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—232no—
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—28no—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—28no—
164C22×C4×C11—22no—
165C22×C4×C11—22no—
166C22×C4×C11—22no—
167C22×C4×C11—22no—
168C22×C4×C11—24no—
169C22×C4×C11—22no—
170C22×C4×C11—24no—
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—28no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—24no—
189C22×Dic11—24no—
190C22×Dic11—24no—
191C22×Dic11—24no—
192C22×Dic11—48no—
193C22×Dic11—416no—
194C22×Dic11C2×D418yes—
195C22×Dic11C2414yes—
196C22×Dic11C2414yes—
197C22×Dic11C2414yes—
198C11×C4⋊C4—28no—
199C11×C4⋊C4—28no—
200C11×C22⋊C4—28no—
201C11×C22⋊C4—28no—
202C11×C22⋊C4—28no—
203C22⋊Dic11—28no—
204C22⋊Dic11—48no—
205C22⋊Dic11C2×D4116yes—
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—216no—
212Dic11⋊C4—48no—
213C4×Dic11—216no—
214C22×#123D1111yescharacteristic, complemented
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×#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×D412yes—
245C23×C11C22×D414yes—
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—28no—
274C2×C4×C11—28no—
275C2×C4×C11—232no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—22no—
286C2×C4×C11—24no—
287C2×C4×C11—44no—
288C2×C4×C11—44no—
289C2×C4×C11—44no—
290C2×C4×C11C22×D414yes—
291C2×C4×C11C22×D414yes—
292C22⋊D11—432no—
293C2×Dic11—216no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—416no—
303C2×Dic11—48no—
304C2×Dic11—48no—
305C2×Dic11C22×D418yes—
306C26—111no—
307C23×D4—112no—
308C23×D4C2×D1111yescharacteristic
309C24×C4—111no—
310C24×C4C2×D1111yescharacteristic
311C2×#123—28no—
312C2×#123C2×D1118yescomplemented
313C2×#120—118no—
314C2×#120—228no—
315C2×#117—118no—
316C2×#117—228no—
317C22×C4⋊C4—112no—
318C22×C4⋊C4—112no—
319C22×C4⋊C4C2×D1111yescharacteristic, complemented
320C22×C4⋊C4C2×D1111yescharacteristic, complemented
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—112no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4—228no—
331C22×C22⋊C4C2×D1111yescharacteristic
332C22×C22⋊C4C2×D1111yescharacteristic, complemented
333C22×C22⋊C4C2×D1111yescharacteristic, complemented
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—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—24no—
376C4×C11—24no—
377C4×C11—42no—
378C4×C11—42no—
379C4×C11—42no—
380Dic11—28no—
381Dic11—44no—
382Dic11—44no—
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—24no—
402C23×C4—112no—
403C23×C4—112no—
404C23×C4—112no—
405C23×C4—114no—
406C23×C4—224no—
407C23×C4—444no—
408C23×C4C22⋊D1118yescomplemented
409C23×C4C22×D1111yescharacteristic
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1114yes—
415#123—232no—
416#120—2232no—
417#117—2232no—
418C2×C4⋊C4—24no—
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×C4⋊C4C22×D1114yescomplemented
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—118no—
430C2×C22⋊C4—114no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—118no—
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—224no—
441C2×C22⋊C4—228no—
442C2×C22⋊C4—228no—
443C2×C22⋊C4—2232no—
444C2×C22⋊C4—444no—
445C2×C22⋊C4—444no—
446C2×C22⋊C4C22×D1114yes—
447C2×C22⋊C4C22×D1114yescomplemented
448C2×C22⋊C4C22×D1114yescomplemented
449C2×C42—118no—
450C2×C42—228no—
451#95—118no—
452#95—118no—
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—24no—
467C24—24no—
468C24—22no—
469C24—118no—
470C24—114no—
471C24—2216no—
472C24—2232no—
473C24—224no—
474C24—224no—
475C24—224no—
476C24—224no—
477C24—224no—
478C24—228no—
479C24—224no—
480C24—228no—
481C24—228no—
482C24—448no—
483C24—4432no—
484C24—4432no—
485C24—4416no—
486C24—4416no—
487C24D4×D1114yes—
488C24#434114yes—
489C24C2×C22⋊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—232no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—28no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—28no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—118no—
516C22×C4—114no—
517C22×C4—114no—
518C22×C4—114no—
519C22×C4—224no—
520C22×C4—224no—
521C22×C4—224no—
522C22×C4—224no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4—224no—
526C22×C4—228no—
527C22×C4—224no—
528C22×C4—448no—
529C22×C4—4416no—
530C22×C4C2×C22⋊D1114yes—
531C22×C4C2×C22⋊D1114yes—
532C22×C4C2×C22⋊D11116yescomplemented
533C22×C4C23×D1112yes—
534C22×C4C23×D1112yes—
535C22×C4C23×D1112yes—
536C22×C4C23×D1112yes—
537C22×C4C23×D1112yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—2216no—
541C4⋊C4—448no—
542C22⋊C4—28no—
543C22⋊C4—28no—
544C22⋊C4—28no—
545C22⋊C4—1116no—
546C22⋊C4—2216no—
547C22⋊C4—2216no—
548C22⋊C4—228no—
549C22⋊C4—2216no—
550C22⋊C4—2216no—
551C22⋊C4—448no—
552C22⋊C4—448no—
553C42—2216no—
554C11C2×#241111yescharacteristic, complemented, Sylow
555C23—28no—
556C23—28no—
557C23—216no—
558C23—216no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—24no—
564C23—24no—
565C23—22no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—48no—
570C23—48no—
571C23—118no—
572C23—2232no—
573C23—2216no—
574C23—2216no—
575C23—224no—
576C23—2216no—
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#66992116yes—
592C23C2×D4×D1114yes—
593C23C2×D4×D1112yes—
594C23C2×#434114yes—
595C23C2×#434112yes—
596C23#41×D1114yes—
597C23#6704214yes—
598C23C22×C22⋊D1114yes—
599C23C22×C22⋊D1112yes—
600C23C24×D1111yescharacteristic
601D4—416no—
602D4—4432no—
603C2×C4—28no—
604C2×C4—28no—
605C2×C4—232no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—118no—
621C2×C4—2216no—
622C2×C4—224no—
623C2×C4—224no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—224no—
627C2×C4—224no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—4416no—
631C2×C4—448no—
632C2×C4—448no—
633C2×C4C22×C22⋊D1114yes—
634C2×C4C22×C22⋊D1114yes—
635C22—24no—
636C22—232no—
637C22—28no—
638C22—24no—
639C22—28no—
640C22—42no—
641C22—44no—
642C22—42no—
643C22—42no—
644C22—44no—
645C22—88no—
646C22—228no—
647C22—228no—
648C22—228no—
649C22—4464no—
650C22—444no—
651C22—4432no—
652C22—444no—
653C22—444no—
654C22—444no—
655C22#1062318518yes—
656C22#1062318918yes—
657C22C2×#6699218yes—
658C22C2×#6699214yes—
659C22#1062335914yes—
660C22#1062336114yes—
661C22C22×D4×D1111yescharacteristic
662C22C22×#434111yescharacteristic
663C22C2×#41×D1112yes—
664C22C2×#6704212yes—
665C22C23×C22⋊D1111yescharacteristic
666C4—24no—
667C4—24no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—228no—
672C4—444no—
673C4—444no—
674C2—28no—
675C2—82no—
676C2—448no—
677C2#1307200218yesdirect product factor
678C2C22×#6699211yescharacteristic
679C2C2×#1062335911yescharacteristic
680C2C2×#1062336111yescharacteristic
681C2C2×#1062318512yes—
682C2C2×#1062318912yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×#123C2
socleC24×C11C24
prime radicalC22×#66990C2
hypercenterC22×#123D11
hypocenterC11C2×#2411
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
2. C22×#66979C2semidirect
3. C23×(C2×D11)⋊C4C2semidirect
4. #13072002C2direct (N × H)
5. C2×#10622607C2semidirect
6. C2×#10622574C2semidirect
7. C2×#10622570C2semidirect
8. C2×#10622603C2semidirect
9. C2×#10622833C2semidirect
10. C2×#10622559C2semidirect
11. C2×#10622568C2semidirect
12. C22×C11×#123C2semidirect
19. C2×C11×#123C22semidirect
20. C22×C11×C4⋊C4C22semidirect
21. C22×C11×C4⋊C4C22semidirect
23. C22×C11×C22⋊C4C22semidirect
24. C22×C11×C22⋊C4C22semidirect
27. C22×C22⋊Dic11C22semidirect
36. C22×(C2×D11)⋊C4C22semidirect
38. C2×#66979C22semidirect
39. C22×C4⋊Dic11C22semidirect
40. C22×Dic11⋊C4C22semidirect
41. C22×C4×Dic11C22semidirect
42. #10622833C22semidirect
43. C2×C11⋊#95C22semidirect
44. C2×C11⋊#95C22semidirect
45. #10622607C22semidirect
46. #10622603C22semidirect
47. #10622574C22semidirect
48. #10622570C22semidirect
49. #10622568C22semidirect
50. #10622559C22semidirect
66. C23×C4×C11D4semidirect
86. C2×C11×C4⋊C4C23semidirect
87. C2×C11×C4⋊C4C23semidirect
92. C2×C11×C22⋊C4C23semidirect
93. C2×C11×C22⋊C4C23semidirect
99. C2×C22⋊Dic11C23semidirect
114. C2×C4⋊Dic11C23semidirect
116. C2×Dic11⋊C4C23semidirect
118. C2×C4×Dic11C23semidirect
119. C11⋊#95C23semidirect
120. C11⋊#95C23semidirect
173. C22×C4×C11C2×D4semidirect
214. C22×#123D11semidirect
312. C2×#123C2×D11semidirect
319. C22×C4⋊C4C2×D11semidirect
320. C22×C4⋊C4C2×D11semidirect
332. C22×C22⋊C4C2×D11semidirect
333. C22×C22⋊C4C2×D11semidirect
408. C23×C4C22⋊D11semidirect
424. C2×C4⋊C4C22×D11semidirect
425. C2×C4⋊C4C22×D11semidirect
447. C2×C22⋊C4C22×D11semidirect
448. C2×C22⋊C4C22×D11semidirect
455. C2×C11#2411semidirect
532. C22×C4C2×C22⋊D11semidirect
554. C11C2×#2411semidirect
677. C2#13072002direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669902
C22×#669792
C23×(C2×D11)⋊C42
#130720022
C2×#106226072
C2×#106225742
C2×#106225702
C2×#106226032
C2×#106228332
C2×#106225592
C2×#106225682
C22×C11×#1232
C2×#241111