Finite Group Databasebeta

← C22×#10623058 #15660751

Subgroups — C22×#10623058 #15660751

Order 2816.

9526 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623058C2148yesmaximal, direct product factor
2C22×#66951C211yesmaximal, characteristic, complemented
3C22×#66929C211yesmaximal, characteristic, complemented
4C22×#66928C211yesmaximal, characteristic, complemented
5C22×#66947C211yesmaximal, characteristic, complemented
6C22×#66947C211yesmaximal, characteristic, complemented
7C22×#66982C211yesmaximal, characteristic, complemented
8C22×#66949C211yesmaximal, characteristic, complemented
9C22×#66931C211yesmaximal, characteristic, complemented
10C22×#66935C211yesmaximal, characteristic
11C22×C4×D44C211yesmaximal, characteristic, complemented
12C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
13C22×#66925C211yesmaximal, characteristic, complemented
14C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
15C22×C22⋊C4×D11C211yesmaximal, characteristic, complemented
16C22×C11×#117C211yesmaximal, characteristic, complemented
17C25×D11C2211yescharacteristic
18C24×C4×C11C2211yescharacteristic
19C23×C22⋊D11C2211yescharacteristic
20C24×Dic11C2211yescharacteristic
21C23×D44C2211yescharacteristic
22C23×D44C2211yescharacteristic
23C23×C4×D11C2211yescharacteristic
24C23×C4×D11C2211yescharacteristic
25C23×C4×D11C2211yescharacteristic, complemented
26C23×Dic22C2211yescharacteristic, complemented
27C2×C11×#117C22124yescomplemented
28C22×C11×C4⋊C4C2211yescharacteristic, complemented
29C22×C11×C4⋊C4C2211yescharacteristic, complemented
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C11×C22⋊C4C2211yescharacteristic
32C22×C42×C11C2211yescharacteristic, complemented
33C22×C42×C11C2211yescharacteristic, complemented
34C22×C22⋊Dic11C2211yescharacteristic
35C2×#66982C22124yescomplemented
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C22124yescomplemented
45C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
46C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
47C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
48C22×C4⋊Dic11C2211yescharacteristic, complemented
49C22×Dic11⋊C4C2211yescharacteristic, complemented
50C22×Dic11⋊C4C2211yescharacteristic, complemented
51C22×Dic11⋊C4C2211yescharacteristic, complemented
52C22×Dic11⋊C4C2211yescharacteristic, complemented
53C22×Dic11⋊C4C2211yescharacteristic, complemented
54C22×C4×Dic11C2211yescharacteristic, complemented
55#10623058C221256yesdirect product factor
56C2×#66951C22124yescomplemented
57C2×#66949C22124yescomplemented
58C2×#66947C22124yescomplemented
59C2×#66947C22124yescomplemented
60C2×#66935C22124yes—
61C2×(C22⋊D11)⋊C4C22124yescomplemented
62C2×C22⋊C4×D11C22124yescomplemented
63C2×#66931C22124yescomplemented
64C2×#66929C22124yescomplemented
65C2×#66928C22124yescomplemented
66C2×C4×D44C22124yescomplemented
67C2×#66925C22124yescomplemented
68C25×C11C2311yescharacteristic
69C24×D11—28no—
70C24×D11—28no—
71C24×D11—44no—
72C24×D11C2311yescharacteristic
73C24×D11C2311yescharacteristic
74C24×D11C23112yes—
75C24×D11C2311yescharacteristic
76C23×C4×C11—28no—
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C23112yes—
84C22×C22⋊D11—28no—
85C22×C22⋊D11C23112yes—
86C23×Dic11—44no—
87C23×Dic11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2311yescharacteristic
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C23×Dic11C23112yes—
93C22×D44—28no—
94C22×D44—44no—
95C22×D44C23112yes—
96C22×D44C23112yes—
97C22×C4×D11—28no—
98C22×C4×D11—44no—
99C22×C4×D11—44no—
100C22×C4×D11C23112yes—
101C22×C4×D11C23112yes—
102C22×C4×D11C23112yescomplemented
103C22×Dic22—44no—
104C22×Dic22C23112yescomplemented
105C11×#117C23164yescomplemented
106C2×C11×C4⋊C4C23112yescomplemented
107C2×C11×C4⋊C4C23112yescomplemented
108C2×C11×C22⋊C4C23112yes—
109C2×C11×C22⋊C4C23112yes—
110C2×C42×C11C23112yescomplemented
111C2×C42×C11C23112yescomplemented
112C2×C22⋊Dic11C23112yes—
113#66982C23164yescomplemented
114C2×(C2×D11)⋊C4C23112yes—
115C2×(C2×D11)⋊C4C23112yes—
116C2×(C2×D11)⋊C4C23112yes—
117C2×(C2×D11)⋊C4C23112yes—
118C2×(C2×D11)⋊C4C23112yes—
119C2×(C2×D11)⋊C4C23112yes—
120C2×(C2×D11)⋊C4C23112yes—
121C2×(C2×D11)⋊C4C23112yes—
122C2×(C2×D11)⋊C4C23164yescomplemented
123C2×(C2×D11)⋊C4C23112yescomplemented
124C2×(C2×D11)⋊C4C23112yescomplemented
125C2×(C2×D11)⋊C4C23112yescomplemented
126C2×C4⋊Dic11C23112yescomplemented
127C2×Dic11⋊C4C23112yescomplemented
128C2×Dic11⋊C4C23112yescomplemented
129C2×Dic11⋊C4C23112yescomplemented
130C2×Dic11⋊C4C23112yescomplemented
131C2×Dic11⋊C4C23112yescomplemented
132C2×C4×Dic11C23112yescomplemented
133#66951C23164yescomplemented
134#66949C23164yescomplemented
135#66947C23164yescomplemented
136#66947C23164yescomplemented
137#66935C23164yes—
138(C22⋊D11)⋊C4C23164yescomplemented
139C22⋊C4×D11C23164yescomplemented
140#66931C23164yescomplemented
141#66929C23164yescomplemented
142#66928C23164yescomplemented
143C4×D44C23164yescomplemented
144#66925C23164yescomplemented
145C22×#551—111nomaximal, Sylow
146C24×C11—24no—
147C24×C11—24no—
148C24×C11#4118yes—
149C24×C11C2416yes—
150C24×C11C2411yescharacteristic
151C23×D11—24no—
152C23×D11—24no—
153C23×D11—24no—
154C23×D11—24no—
155C23×D11—248no—
156C23×D11—24no—
157C23×D11—24no—
158C23×D11—24no—
159C23×D11—24no—
160C23×D11—248no—
161C23×D11—424no—
162C23×D11—464no—
163C23×D11#4118yes—
164C23×D11C2416yes—
165C23×D11C2416yes—
166C23×D11C24116yes—
167C23×D11C2416yes—
168C22×C4×C11—24no—
169C22×C4×C11—24no—
170C22×C4×C11—248no—
171C22×C4×C11—24no—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—24no—
175C22×C4×C11C2416yes—
176C22×C4×C11C2416yes—
177C22×C4×C11C2416yes—
178C22×C4×C11C2416yes—
179C22×C4×C11C2416yes—
180C22×C4×C11C2416yes—
181C22×C4×C11C24116yes—
182C2×C22⋊D11—248no—
183C2×C22⋊D11C24116yes—
184C22×Dic11—24no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—24no—
189C22×Dic11—424no—
190C22×Dic11C2416yes—
191C22×Dic11C2416yes—
192C22×Dic11C2416yes—
193C22×Dic11C2416yes—
194C22×Dic11C2416yes—
195C22×Dic11C24116yes—
196C2×D44—248no—
197C2×D44—424no—
198C2×D44C24116yes—
199C2×D44C24116yes—
200C2×C4×D11—248no—
201C2×C4×D11—424no—
202C2×C4×D11—424no—
203C2×C4×D11C24116yes—
204C2×C4×D11C24116yes—
205C2×C4×D11C24116yescomplemented
206C2×Dic22—424no—
207C2×Dic22C24116yescomplemented
208C11×C4⋊C4C24116yescomplemented
209C11×C4⋊C4C24116yescomplemented
210C11×C22⋊C4C24116yes—
211C11×C22⋊C4C24116yes—
212C42×C11C24116yescomplemented
213C42×C11C24116yescomplemented
214C22⋊Dic11C24116yes—
215(C2×D11)⋊C4C24116yes—
216(C2×D11)⋊C4C24116yes—
217(C2×D11)⋊C4C24116yes—
218(C2×D11)⋊C4C24116yes—
219(C2×D11)⋊C4C24116yes—
220(C2×D11)⋊C4C24116yes—
221(C2×D11)⋊C4C24116yes—
222(C2×D11)⋊C4C24116yes—
223(C2×D11)⋊C4C24116yescomplemented
224(C2×D11)⋊C4C24116yescomplemented
225(C2×D11)⋊C4C24116yescomplemented
226C4⋊Dic11C24116yescomplemented
227Dic11⋊C4C24116yescomplemented
228Dic11⋊C4C24116yescomplemented
229Dic11⋊C4C24116yescomplemented
230Dic11⋊C4C24116yescomplemented
231Dic11⋊C4C24116yescomplemented
232C4×Dic11C24116yescomplemented
233C2×#551—1148no—
234C22×#126—111no—
235C22×#126—111no—
236C22×#124—111no—
237C22×#123—111no—
238C22×#123—111no—
239C22×#123—111no—
240C22×C22⋊Q8—111no—
241C22×C22⋊Q8—111no—
242C22×#120—111no—
243C22×C4×D4—111no—
244C22×C4×D4—111no—
245C22×#117—111no—
246C22×#117D1111yescharacteristic, complemented
247C23×C22⋊C4—111no—
248C23×C22⋊C4—111no—
249C23×C11—232no—
250C23×C11—212no—
251C23×C11—212no—
252C23×C11C2×#41124yes—
253C23×C11C2×#4114yes—
254C23×C11C2×#4114yes—
255C23×C11H(5,𝔽2)14yes—
256C23×C11C2514yes—
257C23×C11C2513yes—
258C22×D11—232no—
259C22×D11—212no—
260C22×D11—212no—
261C22×D11—212no—
262C22×D11—212no—
263C22×D11—232no—
264C22×D11—212no—
265C22×D11—212no—
266C22×D11—212no—
267C22×D11—212no—
268C22×D11—232no—
269C22×D11—416no—
270C22×D11—4192no—
271C22×D11—416no—
272C22×D11—416no—
273C22×D11C2×#41124yes—
274C22×D11C2514yes—
275C22×D11C2514yes—
276C22×D11C2514yes—
277C2×C4×C11—212no—
278C2×C4×C11—212no—
279C2×C4×C11—232no—
280C2×C4×C11—212no—
281C2×C4×C11—212no—
282C2×C4×C11—212no—
283C2×C4×C11—212no—
284C2×C4×C11C2514yes—
285C2×C4×C11C2514yes—
286C2×C4×C11C2514yes—
287C2×C4×C11C2514yes—
288C2×C4×C11C2514yes—
289C2×C4×C11C2514yes—
290C22⋊D11—232no—
291C2×Dic11—212no—
292C2×Dic11—212no—
293C2×Dic11—212no—
294C2×Dic11—212no—
295C2×Dic11—212no—
296C2×Dic11—416no—
297C2×Dic11C2514yes—
298C2×Dic11C2514yes—
299C2×Dic11C2514yes—
300C2×Dic11C2514yes—
301C2×Dic11C2514yes—
302D44—232no—
303D44—416no—
304C4×D11—232no—
305C4×D11—416no—
306C4×D11—416no—
307Dic22—416no—
308C26—111no—
309C23×Q8—111no—
310C23×D4—111no—
311C23×D4—111no—
312C23×D4—111no—
313C24×C4—111no—
314C24×C4—111no—
315C24×C4—111no—
316C24×C4—111no—
317C24×C4C2×D1111yescharacteristic
318#551—11256no—
319C2×#126—1124no—
320C2×#126—1124no—
321C2×#124—1124no—
322C2×#123—1124no—
323C2×#123—1124no—
324C2×#123—1124no—
325C2×C22⋊Q8—1124no—
326C2×C22⋊Q8—1124no—
327C2×#120—1124no—
328C2×C4×D4—1124no—
329C2×C4×D4—1124no—
330C2×#117—1124no—
331C2×#117C2×D11124yescomplemented
332C22×C4⋊C4—111no—
333C22×C4⋊C4—111no—
334C22×C4⋊C4—111no—
335C22×C4⋊C4—111no—
336C22×C4⋊C4—111no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4C2×D1111yescharacteristic, complemented
339C22×C4⋊C4C2×D1111yescharacteristic, complemented
340C22×C22⋊C4—111no—
341C22×C22⋊C4—111no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—111no—
344C22×C22⋊C4—111no—
345C22×C22⋊C4—111no—
346C22×C22⋊C4—111no—
347C22×C22⋊C4—111no—
348C22×C22⋊C4—111no—
349C22×C22⋊C4—1124no—
350C22×C22⋊C4—111no—
351C22×C22⋊C4—111no—
352C22×C22⋊C4—111no—
353C22×C22⋊C4—1124no—
354C22×C22⋊C4C2×D1111yescharacteristic
355C22×C22⋊C4C2×D1111yescharacteristic
356C22×C42—111no—
357C22×C42C2×D1111yescharacteristic, complemented
358C22×C42C2×D1111yescharacteristic, complemented
359C22×C11—24no—
360C22×C11—24no—
361C22×C11—248no—
362C22×C11#551116yescomplemented
363C22×C11C22×#4118yes—
364C22×C11C22×#4116yes—
365C22×C11C22×#4116yes—
366C22×C11C2×H(5,𝔽2)16yes—
367C22×C11C2611yescharacteristic
368C2×D11—24no—
369C2×D11—24no—
370C2×D11—248no—
371C2×D11—24no—
372C2×D11—24no—
373C2×D11—24no—
374C2×D11—24no—
375C2×D11—24no—
376C2×D11—24no—
377C2×D11—464no—
378C2×D11—424no—
379C2×D11—424no—
380C2×D11C22×#4118yes—
381C4×C11—24no—
382C4×C11—24no—
383C4×C11—24no—
384C4×C11—24no—
385C4×C11—24no—
386C4×C11—24no—
387Dic11—24no—
388Dic11—24no—
389Dic11—24no—
390Dic11—24no—
391Dic11—24no—
392C25—111no—
393C25—111no—
394C25—111no—
395C25—1112no—
396C25—228no—
397C25—228no—
398C25—444no—
399C25C22×D1111yescharacteristic
400C22×Q8—1112no—
401C22×Q8—444no—
402C22×D4—1112no—
403C22×D4—1112no—
404C22×D4—1112no—
405C22×D4—228no—
406C22×D4—228no—
407C22×D4—444no—
408C23×C4—28no—
409C23×C4—111no—
410C23×C4—111no—
411C23×C4—111no—
412C23×C4—111no—
413C23×C4—111no—
414C23×C4—1112no—
415C23×C4—1112no—
416C23×C4—1112no—
417C23×C4—1112no—
418C23×C4—228no—
419C23×C4—444no—
420C23×C4—444no—
421C23×C4—444no—
422C23×C4C22×D11112yes—
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1111yescharacteristic
429#126—1164no—
430#126—1164no—
431#124—1164no—
432#123—1164no—
433#123—1164no—
434#123—1164no—
435C22⋊Q8—1164no—
436C22⋊Q8—1164no—
437#120—1164no—
438C4×D4—1164no—
439C4×D4—1164no—
440#117—1164no—
441#117C22×D11164yescomplemented
442C2×C4⋊C4—1112no—
443C2×C4⋊C4—1112no—
444C2×C4⋊C4—1112no—
445C2×C4⋊C4—1112no—
446C2×C4⋊C4—1112no—
447C2×C4⋊C4—1112no—
448C2×C4⋊C4C22×D11112yescomplemented
449C2×C4⋊C4C22×D11112yescomplemented
450C2×C22⋊C4—1112no—
451C2×C22⋊C4—1112no—
452C2×C22⋊C4—1112no—
453C2×C22⋊C4—1112no—
454C2×C22⋊C4—1112no—
455C2×C22⋊C4—1112no—
456C2×C22⋊C4—1112no—
457C2×C22⋊C4—1164no—
458C2×C22⋊C4—1112no—
459C2×C22⋊C4—1112no—
460C2×C22⋊C4—1112no—
461C2×C22⋊C4—1112no—
462C2×C22⋊C4—1112no—
463C2×C22⋊C4—1164no—
464C2×C22⋊C4C22×D11112yes—
465C2×C22⋊C4C22×D11112yes—
466C2×C42—1112no—
467C2×C42C22×D11112yescomplemented
468C2×C42C22×D11112yescomplemented
469C2×C11—28no—
470C2×C11C2×#551112yescomplemented
471C2×C11C23×#4111yescharacteristic
472C2×C11C23×#4111yescharacteristic
473C2×C11C22×H(5,𝔽2)11yescharacteristic
474D11—28no—
475D11—44no—
476D11—44no—
477C24—24no—
478C24—24no—
479C24—118no—
480C24—116no—
481C24—116no—
482C24—116no—
483C24—1116no—
484C24—2248no—
485C24—224no—
486C24—224no—
487C24—224no—
488C24—2248no—
489C24—224no—
490C24—224no—
491C24—224no—
492C24—224no—
493C24—224no—
494C24—4424no—
495C24—4464no—
496C24#433918yes—
497C24C23×D1116yes—
498C24C23×D1111yescharacteristic
499C2×Q8—1116no—
500C2×Q8—4424no—
501C2×D4—1116no—
502C2×D4—1116no—
503C2×D4—1116no—
504C2×D4—2248no—
505C2×D4—2248no—
506C2×D4—4424no—
507C22×C4—248no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—116no—
515C22×C4—116no—
516C22×C4—116no—
517C22×C4—116no—
518C22×C4—116no—
519C22×C4—1116no—
520C22×C4—1116no—
521C22×C4—1116no—
522C22×C4—1116no—
523C22×C4—2248no—
524C22×C4—224no—
525C22×C4—224no—
526C22×C4—224no—
527C22×C4—224no—
528C22×C4—224no—
529C22×C4—4424no—
530C22×C4—4424no—
531C22×C4—4424no—
532C22×C4C23×D1116yes—
533C22×C4C23×D1116yes—
534C22×C4C23×D1116yes—
535C22×C4C23×D1116yes—
536C22×C4C23×D1116yes—
537C22×C4C23×D1116yes—
538C22×C4C23×D11116yes—
539C4⋊C4—1116no—
540C4⋊C4—1116no—
541C4⋊C4—1116no—
542C4⋊C4—1116no—
543C4⋊C4—1116no—
544C4⋊C4—1116no—
545C4⋊C4C23×D11116yescomplemented
546C4⋊C4C23×D11116yescomplemented
547C22⋊C4—1116no—
548C22⋊C4—1116no—
549C22⋊C4—1116no—
550C22⋊C4—1116no—
551C22⋊C4—1116no—
552C22⋊C4—1116no—
553C22⋊C4—1116no—
554C22⋊C4—1116no—
555C22⋊C4—1116no—
556C22⋊C4—1116no—
557C22⋊C4—1116no—
558C22⋊C4—1116no—
559C22⋊C4C23×D11116yes—
560C22⋊C4C23×D11116yes—
561C42—1116no—
562C42C23×D11116yescomplemented
563C42C23×D11116yescomplemented
564C11C22×#55111yescharacteristic, complemented, Sylow
565C23—232no—
566C23—212no—
567C23—212no—
568C23—1124no—
569C23—114no—
570C23—114no—
571C23—114no—
572C23—2232no—
573C23—2232no—
574C23—2212no—
575C23—2212no—
576C23—2212no—
577C23—2232no—
578C23—2212no—
579C23—2212no—
580C23—2212no—
581C23—2212no—
582C23—2212no—
583C23—4416no—
584C23—44192no—
585C23—4416no—
586C23—4416no—
587C23C2×#4339124yes—
588C23C2×#433914yes—
589C23#41×D1114yes—
590C23#6704214yes—
591C23C24×D1114yes—
592C23C24×D1113yes—
593Q8—4416no—
594D4—2232no—
595D4—2232no—
596D4—4416no—
597C2×C4—232no—
598C2×C4—212no—
599C2×C4—212no—
600C2×C4—212no—
601C2×C4—212no—
602C2×C4—212no—
603C2×C4—212no—
604C2×C4—114no—
605C2×C4—114no—
606C2×C4—114no—
607C2×C4—114no—
608C2×C4—114no—
609C2×C4—2232no—
610C2×C4—2212no—
611C2×C4—2212no—
612C2×C4—2212no—
613C2×C4—2212no—
614C2×C4—2212no—
615C2×C4—4416no—
616C2×C4—4416no—
617C2×C4—4416no—
618C2×C4C24×D1114yes—
619C2×C4C24×D1114yes—
620C2×C4C24×D1114yes—
621C2×C4C24×D1114yes—
622C2×C4C24×D1114yes—
623C2×C4C24×D1114yes—
624C22—24no—
625C22—24no—
626C22—248no—
627C22—118no—
628C22—224no—
629C22—224no—
630C22—2248no—
631C22—224no—
632C22—224no—
633C22—224no—
634C22—224no—
635C22—224no—
636C22—224no—
637C22—4464no—
638C22—4424no—
639C22—4424no—
640C22#10623058116yesdirect product factor
641C22C22×#433918yes—
642C22C22×#433916yes—
643C22C2×#41×D1116yes—
644C22C2×#6704216yes—
645C22C25×D1111yescharacteristic
646C4—24no—
647C4—24no—
648C4—24no—
649C4—24no—
650C4—24no—
651C4—24no—
652C4—224no—
653C4—224no—
654C4—224no—
655C4—224no—
656C4—224no—
657C2—28no—
658C2—228no—
659C2—444no—
660C2—444no—
661C2C2×#10623058112yesdirect product factor
662C2C22×#41×D1111yescharacteristic
663C2C23×#433911yescharacteristic
664C2C22×#6704211yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC22×C11×#117C2
socleC24×C11C24
prime radicalC22×#66935C2
hypercenterC22×#117D11
hypocenterC11C22×#551
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
1. C2×#10623058C2direct (N × H)
2. C22×#66951C2semidirect
3. C22×#66929C2semidirect
4. C22×#66928C2semidirect
5. C22×#66947C2semidirect
6. C22×#66947C2semidirect
7. C22×#66982C2semidirect
8. C22×#66949C2semidirect
9. C22×#66931C2semidirect
11. C22×C4×D44C2semidirect
12. C22×(C22⋊D11)⋊C4C2semidirect
13. C22×#66925C2semidirect
14. C23×(C2×D11)⋊C4C2semidirect
15. C22×C22⋊C4×D11C2semidirect
16. C22×C11×#117C2semidirect
25. C23×C4×D11C22semidirect
26. C23×Dic22C22semidirect
27. C2×C11×#117C22semidirect
28. C22×C11×C4⋊C4C22semidirect
29. C22×C11×C4⋊C4C22semidirect
32. C22×C42×C11C22semidirect
33. C22×C42×C11C22semidirect
35. C2×#66982C22semidirect
44. C22×(C2×D11)⋊C4C22semidirect
45. C22×(C2×D11)⋊C4C22semidirect
46. C22×(C2×D11)⋊C4C22semidirect
47. C22×(C2×D11)⋊C4C22semidirect
48. C22×C4⋊Dic11C22semidirect
49. C22×Dic11⋊C4C22semidirect
50. C22×Dic11⋊C4C22semidirect
51. C22×Dic11⋊C4C22semidirect
52. C22×Dic11⋊C4C22semidirect
53. C22×Dic11⋊C4C22semidirect
54. C22×C4×Dic11C22semidirect
55. #10623058C22direct (N × H)
56. C2×#66951C22semidirect
57. C2×#66949C22semidirect
58. C2×#66947C22semidirect
59. C2×#66947C22semidirect
61. C2×(C22⋊D11)⋊C4C22semidirect
62. C2×C22⋊C4×D11C22semidirect
63. C2×#66931C22semidirect
64. C2×#66929C22semidirect
65. C2×#66928C22semidirect
66. C2×C4×D44C22semidirect
67. C2×#66925C22semidirect
102. C22×C4×D11C23semidirect
104. C22×Dic22C23semidirect
105. C11×#117C23semidirect
106. C2×C11×C4⋊C4C23semidirect
107. C2×C11×C4⋊C4C23semidirect
110. C2×C42×C11C23semidirect
111. C2×C42×C11C23semidirect
113. #66982C23semidirect
122. C2×(C2×D11)⋊C4C23semidirect
123. C2×(C2×D11)⋊C4C23semidirect
124. C2×(C2×D11)⋊C4C23semidirect
125. C2×(C2×D11)⋊C4C23semidirect
126. C2×C4⋊Dic11C23semidirect
127. C2×Dic11⋊C4C23semidirect
128. C2×Dic11⋊C4C23semidirect
129. C2×Dic11⋊C4C23semidirect
130. C2×Dic11⋊C4C23semidirect
131. C2×Dic11⋊C4C23semidirect
132. C2×C4×Dic11C23semidirect
133. #66951C23semidirect
134. #66949C23semidirect
135. #66947C23semidirect
136. #66947C23semidirect
138. (C22⋊D11)⋊C4C23semidirect
139. C22⋊C4×D11C23semidirect
140. #66931C23semidirect
141. #66929C23semidirect
142. #66928C23semidirect
143. C4×D44C23semidirect
144. #66925C23semidirect
205. C2×C4×D11C24semidirect
207. C2×Dic22C24semidirect
208. C11×C4⋊C4C24semidirect
209. C11×C4⋊C4C24semidirect
212. C42×C11C24semidirect
213. C42×C11C24semidirect
223. (C2×D11)⋊C4C24semidirect
224. (C2×D11)⋊C4C24semidirect
225. (C2×D11)⋊C4C24semidirect
226. C4⋊Dic11C24semidirect
227. Dic11⋊C4C24semidirect
228. Dic11⋊C4C24semidirect
229. Dic11⋊C4C24semidirect
230. Dic11⋊C4C24semidirect
231. Dic11⋊C4C24semidirect
232. C4×Dic11C24semidirect
246. C22×#117D11semidirect
331. C2×#117C2×D11semidirect
338. C22×C4⋊C4C2×D11semidirect
339. C22×C4⋊C4C2×D11semidirect
357. C22×C42C2×D11semidirect
358. C22×C42C2×D11semidirect
362. C22×C11#551semidirect
441. #117C22×D11semidirect
448. C2×C4⋊C4C22×D11semidirect
449. C2×C4⋊C4C22×D11semidirect
467. C2×C42C22×D11semidirect
468. C2×C42C22×D11semidirect
470. C2×C11C2×#551semidirect
545. C4⋊C4C23×D11semidirect
546. C4⋊C4C23×D11semidirect
562. C42C23×D11semidirect
563. C42C23×D11semidirect
564. C11C22×#551semidirect
640. C22#10623058direct (N × H)
661. C2C2×#10623058direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230582
C22×#669512
C22×#669292
C22×#669282
C22×#669472
C22×#669822
C22×#669492
C22×#669312
C22×#669352
C22×C4×D442
C22×(C22⋊D11)⋊C42
C22×#669252
C23×(C2×D11)⋊C42
C22×C22⋊C4×D112
C22×C11×#1172
C22×#55111