Finite Group Databasebeta

← #14913518

Subgroups — #14913518

Order 2816.

2954 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623322C211yesmaximal, characteristic
2#13071747C214yesmaximal, complemented
3#13071699C212yesmaximal, complemented
4#13071696C212yesmaximal, complemented
5#13071666C212yesmaximal, complemented
6#13071663C212yesmaximal, complemented
7#13071595C214yesmaximal, complemented
8#13071112C212yesmaximal, complemented
9#13071102C212yesmaximal, complemented
10#13071059C212yesmaximal, complemented
11#13071055C212yesmaximal, complemented
12C42×C22⋊D11C212yesmaximal, complemented
13C4×(C22⋊D11)⋊C4C212yesmaximal, complemented
14C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
15C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
16C24×C4×C11C2211yescharacteristic
17C22×#4339C2211yescharacteristic
18C22×C11×C22⋊C4C2212yes—
19C22×C42×C11C2212yes—
20C2×#67006C2212yes—
21C22×C22⋊Dic11C2212yes—
22#10623322C4116yescomplemented
23C2×#66983C2211yescharacteristic
24C2×#66983C2211yescharacteristic
25C2×#66982C2212yes—
26C2×C4×C22⋊D11C2214yes—
27C2×C4×C22⋊D11C2212yes—
28C2×C4×C22⋊D11C2212yes—
29C2×#66979C2211yescharacteristic
30C2×#66977C2211yescharacteristic
31C2×#66977C2211yescharacteristic
32C22×C4×Dic11C2212yes—
33C2×(C22⋊D11)⋊C4C2214yes—
34C2×#66925C2212yescomplemented
35C2×C42×D11C2212yescomplemented
36C4×C11×C22⋊C4C2212yes—
37C4×C11×C22⋊C4C2212yes—
38C4×C11×C22⋊C4C2211yescharacteristic
39C4×C11×C22⋊C4C2212yes—
40C4×C11×C22⋊C4C2211yescharacteristic
41C2×C11×#95C2212yes—
42#10622826C2214yes—
43#10622823C2214yes—
44C4×C22⋊Dic11C2212yes—
45C4×C22⋊Dic11C2212yes—
46C4×C22⋊Dic11C2214yes—
47C4×C22⋊Dic11C2211yescharacteristic
48C4×C22⋊Dic11C2212yes—
49C4×C22⋊Dic11C2211yescharacteristic
50C2×C11⋊#95C2212yes—
51#10622571C2214yes—
52#10622570C2214yes—
53#10622569C2214yes—
54#10622559C2214yes—
55#10622558C2214yes—
56#10622557C2214yes—
57C22⋊C4×Dic11C2214yes—
58#10622553C2214yescomplemented
59C4×(C2×D11)⋊C4C2214yescomplemented
60C4×(C2×D11)⋊C4C2212yescomplemented
61C4×(C2×D11)⋊C4C2212yescomplemented
62#10622546C2214yescomplemented
63#10622545C2212yescomplemented
64C4×Dic11⋊C4C2212yescomplemented
65C4×Dic11⋊C4C2212yescomplemented
66C4×Dic11⋊C4C2214yescomplemented
67C42×Dic11C2212yescomplemented
68#10622282C2214yescomplemented
69#10622279C2214yescomplemented
70#10622278C2214yescomplemented
71#10622267C2214yescomplemented
72#10622266C2214yescomplemented
73#10622265C2214yescomplemented
74#10622262C2214yescomplemented
75#10622259C2214yescomplemented
76C25×C11C2311yescharacteristic
77C23×C4×C11—44no—
78C23×C4×C11C2×C418yescomplemented
79C23×C4×C11C2314yes—
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C22×C22⋊D11C2312yes—
87C22×C22⋊D11C2312yes—
88C22×C22⋊D11C2312yes—
89C23×Dic11C2314yes—
90C2×#4339—44no—
91C2×#4339C2×C418yescomplemented
92C22×D44C2311yescharacteristic
93C22×C4×D11C2314yes—
94C22×C4×D11C2312yes—
95C22×Dic22C2311yescharacteristic
96C2×C11×C22⋊C4—28no—
97C2×C11×C22⋊C4C2314yes—
98C2×C11×C22⋊C4C2312yes—
99C2×C11×C22⋊C4C2312yes—
100C2×C42×C11—44no—
101C2×C42×C11C2312yes—
102C2×C42×C11C2312yes—
103C2×C42×C11C2314yes—
104#67006C2×C4116yescomplemented
105C2×C22⋊Dic11—28no—
106C2×C22⋊Dic11C2314yes—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2312yes—
112#66983C2×C418yescomplemented
113#66983C2×C418yescomplemented
114#66982C2×C4116yescomplemented
115C4×C22⋊D11—216no—
116C4×C22⋊D11C2×C4116yescomplemented
117C4×C22⋊D11C2×C4116yescomplemented
118C2×(C2×D11)⋊C4C2314yes—
119C2×(C2×D11)⋊C4C2314yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2312yes—
122C2×(C2×D11)⋊C4C2312yes—
123#66979C2×C418yescomplemented
124C2×C4⋊Dic11C2311yescharacteristic
125C2×C4⋊Dic11C2311yescharacteristic
126#66977C2×C418yescomplemented
127#66977C2×C418yescomplemented
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2314yes—
130C2×Dic11⋊C4C2314yes—
131C2×Dic11⋊C4C2312yes—
132C2×Dic11⋊C4C2312yes—
133C2×C4×Dic11—44no—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2314yes—
138C2×C4×Dic11C2314yes—
139C2×C4×Dic11C2314yes—
140C2×C4×Dic11C2312yes—
141(C22⋊D11)⋊C4—216no—
142#66925—44no—
143C42×D11—44no—
144C11×#95C2314yes—
145C11×#95C2312yes—
146C11×#95C2312yes—
147C11⋊#95C2314yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2312yes—
155C11⋊#95C2312yes—
156#34152—111nomaximal, Sylow
157C24×C11—24no—
158C24×C11—24no—
159C24×C11—42no—
160C24×C11C22×C414yes—
161C24×C11C2411yescharacteristic
162C24×C11C2411yescharacteristic
163C24×C11C2411yescharacteristic
164C23×D11C2412yes—
165C22×C4×C11—24no—
166C22×C4×C11—24no—
167C22×C4×C11—24no—
168C22×C4×C11—28no—
169C22×C4×C11—28no—
170C22×C4×C11—416no—
171C22×C4×C11—44no—
172C22×C4×C11—42no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11C22×C414yes—
176C22×C4×C11C22×C414yes—
177C22×C4×C11C22×C414yes—
178C22×C4×C11C22×C414yes—
179C22×C4×C11C22×C414yes—
180C22×C4×C11C22×C414yes—
181C22×C4×C11C2414yes—
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2414yes—
186C22×C4×C11C2411yescharacteristic
187C2×C22⋊D11—28no—
188C2×C22⋊D11—28no—
189C2×C22⋊D11—42no—
190C2×C22⋊D11—42no—
191C2×C22⋊D11C22×C418yes—
192C2×C22⋊D11C22×C418yes—
193C2×C22⋊D11C22×C418yes—
194C22×Dic11—28no—
195C22×Dic11—28no—
196C22×Dic11—44no—
197C22×Dic11C2414yes—
198C22×Dic11C2412yes—
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C22×Dic11C2414yes—
202#4339—416no—
203C2×D44—42no—
204C2×D44C22×C414yes—
205C2×C4×D11—28no—
206C2×C4×D11—28no—
207C2×C4×D11—24no—
208C2×C4×D11—24no—
209C2×C4×D11—44no—
210C2×C4×D11C22×C418yes—
211C2×Dic22—42no—
212C2×Dic22C22×C414yes—
213C11×C22⋊C4—24no—
214C11×C22⋊C4—28no—
215C11×C22⋊C4#4118yescomplemented
216C42×C11—24no—
217C42×C11—24no—
218C42×C11—44no—
219C22⋊Dic11—28no—
220C22⋊Dic11—24no—
221C22⋊Dic11C22×C418yes—
222C22⋊Dic11C22×C418yes—
223C22⋊Dic11C22×C418yes—
224C22⋊Dic11#4118yescomplemented
225(C2×D11)⋊C4—28no—
226(C2×D11)⋊C4—28no—
227(C2×D11)⋊C4—44no—
228(C2×D11)⋊C4C22×C418yes—
229(C2×D11)⋊C4C22×C418yes—
230C4⋊Dic11C22×C414yes—
231C4⋊Dic11C22×C414yes—
232Dic11⋊C4—28no—
233Dic11⋊C4—28no—
234Dic11⋊C4—44no—
235Dic11⋊C4C22×C418yes—
236Dic11⋊C4C22×C418yes—
237C4×Dic11—28no—
238C4×Dic11—28no—
239C4×Dic11—24no—
240C4×Dic11—24no—
241C4×Dic11—44no—
242C4×Dic11—44no—
243C4×Dic11C22×C418yes—
244C2×#525—111no—
245#2374—114no—
246#2368—112no—
247#2368—112no—
248#2364—112no—
249#2364—112no—
250#2358—114no—
251#2298—112no—
252#2297—112no—
253#2290—112no—
254#2290—112no—
255C42×D4—112no—
256C42×D4—112no—
257C2×C4×C22⋊C4—111no—
258C2×C4×C22⋊C4D1111yescharacteristic, complemented
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—28no—
264C23×C11—28no—
265C23×C11—22no—
266C23×C11—22no—
267C23×C11—22no—
268C23×C11—44no—
269C23×C11—416no—
270C23×C11C23×C412yes—
271C23×C11C23×C412yes—
272C23×C11C23×C412yes—
273C23×C11C2×#4114yes—
274C23×C11C2×#4114yes—
275C23×C11C2511yescharacteristic
276C22×D11—24no—
277C22×D11—24no—
278C22×D11—22no—
279C22×D11—22no—
280C22×D11C23×C414yes—
281C2×C4×C11—24no—
282C2×C4×C11—22no—
283C2×C4×C11—24no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—28no—
287C2×C4×C11—28no—
288C2×C4×C11—28no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—44no—
293C2×C4×C11—44no—
294C2×C4×C11—44no—
295C2×C4×C11—416no—
296C2×C4×C11C23×C412yes—
297C2×C4×C11C23×C412yes—
298C2×C4×C11C23×C412yes—
299C2×C4×C11C23×C412yes—
300C2×C4×C11C2×#4118yes—
301C2×C4×C11H(5,𝔽2)14yes—
302C22⋊D11—216no—
303C22⋊D11—216no—
304C22⋊D11—48no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—416no—
315C2×Dic11C23×C414yes—
316C2×Dic11C23×C414yes—
317C2×Dic11C23×C414yes—
318C2×Dic11C2×#4118yes—
319D44—44no—
320C4×D11—216no—
321C4×D11—416no—
322Dic22—44no—
323C22×#41—111no—
324C24×C4C2×D1111yescharacteristic
325#525—1116no—
326C2×#123—112no—
327C2×C22⋊Q8—111no—
328C2×C22⋊Q8—111no—
329C2×#121—111no—
330C2×#121—111no—
331C2×#120—112no—
332C2×C4×D4—112no—
333C2×C4×D4—112no—
334C2×C4×D4—114no—
335C2×C4×D4—114no—
336C2×#117—111no—
337C2×#117—112no—
338C22×C22⋊C4—112no—
339C22×C22⋊C4C2×D1112yes—
340C22×C42—112no—
341C22×C42—112no—
342C22×C42C2×D1112yes—
343#391—114no—
344#390—114no—
345#388—114no—
346#388—114no—
347#388—114no—
348#388—114no—
349#387—114no—
350#387—114no—
351#387—114no—
352#387—114no—
353#386—114no—
354#386—114no—
355#386—114no—
356#386—114no—
357#385—114no—
358#385—114no—
359C4×C4⋊C4—114no—
360C4×C4⋊C4—112no—
361C4×C4⋊C4—112no—
362C4×C4⋊C4—114no—
363C4×C22⋊C4—114no—
364C4×C22⋊C4—112no—
365C4×C22⋊C4—112no—
366C4×C22⋊C4—111no—
367C4×C22⋊C4—111no—
368C4×C22⋊C4—112no—
369C4×C22⋊C4—114no—
370C4×C22⋊C4—114no—
371C4×C22⋊C4—112no—
372C4×C22⋊C4—112no—
373C4×C22⋊C4—114no—
374C4×C22⋊C4C2×D1112yes—
375C4×C22⋊C4C2×D1112yes—
376C4×C22⋊C4C2×D1111yescharacteristic
377C4×C22⋊C4C2×D1111yescharacteristic
378C4×C22⋊C4C2×D1112yes—
379#376—112no—
380C2×#95—112no—
381C2×#95C2×D1112yes—
382C43—112no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—28no—
388C22×C11—28no—
389C22×C11—22no—
390C22×C11—22no—
391C22×C11—22no—
392C22×C11—416no—
393C22×C11—44no—
394C22×C11C4×#4114yes—
395C22×C11C4×#4114yes—
396C22×C11C24×C411yescharacteristic
397C22×C11C22×#4112yes—
398C22×C11C22×#4112yes—
399C22×C11C2×H(5,𝔽2)12yes—
400C2×D11—24no—
401C2×D11—24no—
402C2×D11—24no—
403C2×D11—44no—
404C2×D11—44no—
405C4×C11—22no—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—28no—
409C4×C11—44no—
410C4×C11#51814yes—
411Dic11—24no—
412Dic11—24no—
413Dic11—24no—
414Dic11—28no—
415Dic11—44no—
416C25C22×D1111yescharacteristic
417C2×#41—118no—
418C2×#41—444no—
419C22×Q8—111no—
420C22×D4—112no—
421C22×D4—112no—
422C22×D4—112no—
423C22×D4—111no—
424C23×C4—44no—
425C23×C4—112no—
426C23×C4—114no—
427C23×C4—114no—
428C23×C4C4×D1118yescomplemented
429C23×C4C22×D1114yes—
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1111yescharacteristic
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1111yescharacteristic
436#123—1116no—
437C22⋊Q8—118no—
438C22⋊Q8—118no—
439#121—118no—
440#121—118no—
441#120—1116no—
442C4×D4—1116no—
443C4×D4—1116no—
444C4×D4—2216no—
445C4×D4—2216no—
446#117—118no—
447#117—444no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4—114no—
455C2×C22⋊C4—28no—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—112no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—112no—
463C2×C22⋊C4—114no—
464C2×C22⋊C4—114no—
465C2×C22⋊C4—114no—
466C2×C22⋊C4—114no—
467C2×C22⋊C4—228no—
468C2×C22⋊C4C22×D1112yes—
469C2×C22⋊C4C22×D1114yes—
470C2×C22⋊C4C22×D1112yes—
471C2×C42—44no—
472C2×C42—112no—
473C2×C42—114no—
474C2×C42—114no—
475C2×C42—112no—
476C2×C42—112no—
477C2×C42—114no—
478C2×C42—114no—
479C2×C42—444no—
480C2×C42—444no—
481C2×C42C22×D1112yes—
482C2×C42C22×D1112yes—
483C2×C42C22×D1114yes—
484#95—112no—
485#95—114no—
486#95—112no—
487#95—114no—
488#95—114no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95—114no—
493#95C22×D1112yes—
494#95C22×D1114yes—
495#95C22×D1112yes—
496C2×C11—24no—
497C2×C11—24no—
498C2×C11—42no—
499C2×C11C2×C4×#4111yescharacteristic
500C2×C11C2×C4×#4111yescharacteristic
501C2×C11C2×#51811yescharacteristic
502C2×C11#348114yes—
503D11—44no—
504C24—24no—
505C24—24no—
506C24—42no—
507C24—112no—
508C24C2×C4×D1114yes—
509C24C23×D1111yescharacteristic
510C24C23×D1111yescharacteristic
511C24C23×D1111yescharacteristic
512#41—4416no—
513C2×Q8—114no—
514C2×Q8—442no—
515C2×D4—118no—
516C2×D4—118no—
517C2×D4—118no—
518C2×D4—114no—
519C2×D4—228no—
520C2×D4—228no—
521C2×D4—442no—
522C2×D4—442no—
523C2×D4—442no—
524C22×C4—24no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—28no—
528C22×C4—28no—
529C22×C4—416no—
530C22×C4—44no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—114no—
535C22×C4—112no—
536C22×C4—112no—
537C22×C4—112no—
538C22×C4—118no—
539C22×C4—114no—
540C22×C4—228no—
541C22×C4—228no—
542C22×C4—224no—
543C22×C4—224no—
544C22×C4—228no—
545C22×C4—228no—
546C22×C4—444no—
547C22×C4—444no—
548C22×C4C2×C4×D1114yes—
549C22×C4C2×C4×D1114yes—
550C22×C4C2×C4×D1114yes—
551C22×C4C2×C4×D1114yes—
552C22×C4C2×C4×D1114yes—
553C22×C4C2×C4×D1114yes—
554C22×C4C23×D1114yes—
555C22×C4C23×D1111yescharacteristic
556C22×C4C23×D1111yescharacteristic
557C22×C4C23×D1111yescharacteristic
558C22×C4C23×D1114yes—
559C22×C4C23×D1111yescharacteristic
560C4⋊C4—114no—
561C4⋊C4—114no—
562C4⋊C4—118no—
563C4⋊C4—118no—
564C4⋊C4—228no—
565C4⋊C4—228no—
566C4⋊C4—444no—
567C22⋊C4—24no—
568C22⋊C4—28no—
569C22⋊C4—118no—
570C22⋊C4—118no—
571C22⋊C4—118no—
572C22⋊C4—118no—
573C22⋊C4—118no—
574C22⋊C4—118no—
575C22⋊C4—228no—
576C22⋊C4—228no—
577C22⋊C4—224no—
578C22⋊C4—228no—
579C22⋊C4—444no—
580C22⋊C4#433918yescomplemented
581C42—24no—
582C42—24no—
583C42—44no—
584C42—118no—
585C42—228no—
586C42—228no—
587C42—224no—
588C42—224no—
589C42—444no—
590C42—444no—
591C11#3415211yescharacteristic, complemented, Sylow
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—28no—
597C23—28no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—44no—
602C23—416no—
603C23—114no—
604C23—224no—
605C23—222no—
606C23—222no—
607C23—224no—
608C23C22×C4×D1112yes—
609C23C22×C4×D1112yes—
610C23C22×C4×D1112yes—
611C23C2×#433914yes—
612C23#41×D1114yes—
613C23C24×D1111yescharacteristic
614Q8—444no—
615D4—2216no—
616D4—2216no—
617D4—444no—
618D4—448no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—28no—
625C2×C4—28no—
626C2×C4—28no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—416no—
634C2×C4—114no—
635C2×C4—114no—
636C2×C4—114no—
637C2×C4—118no—
638C2×C4—224no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—224no—
644C2×C4—2216no—
645C2×C4—224no—
646C2×C4—224no—
647C2×C4—224no—
648C2×C4—4416no—
649C2×C4—4416no—
650C2×C4C22×C4×D1112yes—
651C2×C4C22×C4×D1112yes—
652C2×C4C22×C4×D1112yes—
653C2×C4C22×C4×D1112yes—
654C2×C4C2×#433918yes—
655C2×C4#6703714yes—
656C22—28no—
657C22—28no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—416no—
666C22—44no—
667C22—224no—
668C22—224no—
669C22—224no—
670C22—444no—
671C22—444no—
672C22C4×#433914yes—
673C22#1062305314yes—
674C22C23×C4×D1111yescharacteristic
675C22C22×#433912yes—
676C22C2×#6703712yes—
677C22C2×#41×D1112yes—
678C4—28no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—44no—
683C4—228no—
684C4—224no—
685C4—224no—
686C4—224no—
687C4—444no—
688C4#1062301714yes—
689C2—24no—
690C2—24no—
691C2—42no—
692C2—444no—
693C2C2×#1062305311yescharacteristic
694C2C2×C4×#433911yescharacteristic
695C2C2×#1062301711yescharacteristic
696C2#1308222014yes—
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C4×C11×C22⋊C4C2
socle, cosocleC23×C11C25
prime radicalC2×#10623322C2
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#34152
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #13071747C2semidirect
3. #13071699C2semidirect
4. #13071696C2semidirect
5. #13071666C2semidirect
6. #13071663C2semidirect
7. #13071595C2semidirect
8. #13071112C2semidirect
9. #13071102C2semidirect
10. #13071059C2semidirect
11. #13071055C2semidirect
12. C42×C22⋊D11C2semidirect
13. C4×(C22⋊D11)⋊C4C2semidirect
14. C2×C4×C22⋊Dic11C2semidirect
15. C2×C4×C11×C22⋊C4C2semidirect
22. #10623322C4semidirect
34. C2×#66925C22semidirect
35. C2×C42×D11C22semidirect
58. #10622553C22semidirect
59. C4×(C2×D11)⋊C4C22semidirect
60. C4×(C2×D11)⋊C4C22semidirect
61. C4×(C2×D11)⋊C4C22semidirect
62. #10622546C22semidirect
63. #10622545C22semidirect
64. C4×Dic11⋊C4C22semidirect
65. C4×Dic11⋊C4C22semidirect
66. C4×Dic11⋊C4C22semidirect
67. C42×Dic11C22semidirect
68. #10622282C22semidirect
69. #10622279C22semidirect
70. #10622278C22semidirect
71. #10622267C22semidirect
72. #10622266C22semidirect
73. #10622265C22semidirect
74. #10622262C22semidirect
75. #10622259C22semidirect
78. C23×C4×C11C2×C4semidirect
91. C2×#4339C2×C4semidirect
104. #67006C2×C4semidirect
112. #66983C2×C4semidirect
113. #66983C2×C4semidirect
114. #66982C2×C4semidirect
116. C4×C22⋊D11C2×C4semidirect
117. C4×C22⋊D11C2×C4semidirect
123. #66979C2×C4semidirect
126. #66977C2×C4semidirect
127. #66977C2×C4semidirect
215. C11×C22⋊C4#41semidirect
224. C22⋊Dic11#41semidirect
258. C2×C4×C22⋊C4D11semidirect
428. C23×C4C4×D11semidirect
580. C22⋊C4#4339semidirect
591. C11#34152semidirect

Maximal subgroups

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

subgroupindex
C2×#106233222
#130717472
#130716992
#130716962
#130716662
#130716632
#130715952
#130711122
#130711022
#130710592
#130710552
C42×C22⋊D112
C4×(C22⋊D11)⋊C42
C2×C4×C22⋊Dic112
C2×C4×C11×C22⋊C42
#3415211