Finite Group Databasebeta

← C22×#10623087 #15660755

Subgroups — C22×#10623087 #15660755

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×#10623087C2148yesmaximal, direct product factor
2C22×#66951C211yesmaximal, characteristic, complemented
3C22×#66929C211yesmaximal, characteristic, complemented
4C22×#66938C211yesmaximal, characteristic, complemented
5C22×#66982C211yesmaximal, characteristic, complemented
6C22×#66936C211yesmaximal, characteristic, complemented
7C22×#66988C211yesmaximal, characteristic, complemented
8C22×#66977C211yesmaximal, characteristic, complemented
9C22×#66949C211yesmaximal, characteristic, complemented
10C22×#66990C211yesmaximal, characteristic
11C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
12C22×#66925C211yesmaximal, characteristic, complemented
13C22×#66930C211yesmaximal, characteristic, complemented
14C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
15C22×C22⋊C4×D11C211yesmaximal, characteristic, complemented
16C22×C4×D4×C11C211yesmaximal, characteristic, complemented
17C25×D11C2211yescharacteristic
18C23×D4×C11C2211yescharacteristic
19C24×C4×C11C2211yescharacteristic
20C24×C4×C11C2211yescharacteristic, complemented
21C23×C22⋊D11C2211yescharacteristic
22C23×C22⋊D11C2211yescharacteristic
23C24×Dic11C2211yescharacteristic
24C23×C4×D11C2211yescharacteristic
25C23×C4×D11C2211yescharacteristic
26C23×Dic22C2211yescharacteristic, complemented
27C2×C4×D4×C11C22124yescomplemented
28C22×C11×C4⋊C4C2211yescharacteristic, complemented
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic, complemented
31C22×C42×C11C2211yescharacteristic, complemented
32C22×C22⋊Dic11C2211yescharacteristic
33C22×C22⋊Dic11C2211yescharacteristic
34C22×C22⋊Dic11C2211yescharacteristic, complemented
35C22×C22⋊Dic11C2211yescharacteristic, complemented
36C2×#66990C22124yes—
37C2×#66988C22124yescomplemented
38C2×#66982C22124yescomplemented
39C2×C4×C22⋊D11C22124yescomplemented
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C22×(C2×D11)⋊C4C2211yescharacteristic
48C22×(C2×D11)⋊C4C22124yescomplemented
49C22×C4⋊Dic11C2211yescharacteristic, complemented
50C2×#66977C22124yescomplemented
51C22×Dic11⋊C4C2211yescharacteristic, complemented
52C22×Dic11⋊C4C2211yescharacteristic, complemented
53C22×Dic11⋊C4C2211yescharacteristic, complemented
54C22×Dic11⋊C4C2211yescharacteristic, complemented
55C22×Dic11⋊C4C2211yescharacteristic, complemented
56C22×Dic11⋊C4C2211yescharacteristic, complemented
57C22×C4×Dic11C2211yescharacteristic, complemented
58C22×C4×Dic11C2211yescharacteristic, complemented
59#10623087C221256yesdirect product factor
60C2×#66951C22124yescomplemented
61C2×#66949C22124yescomplemented
62C2×#66938C22124yescomplemented
63C2×#66936C22124yescomplemented
64C2×C22⋊C4×D11C22124yescomplemented
65C2×#66930C22124yescomplemented
66C2×#66929C22124yescomplemented
67C2×#66925C22124yescomplemented
68C25×C11C2311yescharacteristic
69C25×C11C2311yescharacteristic
70C24×D11—28no—
71C24×D11—28no—
72C24×D11—44no—
73C24×D11C2311yescharacteristic
74C24×D11C23112yes—
75C24×D11C2311yescharacteristic
76C22×D4×C11—28no—
77C22×D4×C11C23112yes—
78C23×C4×C11—44no—
79C23×C4×C11—44no—
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C23112yes—
86C23×C4×C11C23112yescomplemented
87C22×C22⋊D11—28no—
88C22×C22⋊D11—44no—
89C22×C22⋊D11C23112yes—
90C22×C22⋊D11C23112yes—
91C23×Dic11—28no—
92C23×Dic11C23112yes—
93C23×Dic11C2311yescharacteristic
94C23×Dic11C2311yescharacteristic
95C23×Dic11C2311yescharacteristic
96C23×Dic11C2311yescharacteristic
97C23×Dic11C2311yescharacteristic
98C23×Dic11C2311yescharacteristic
99C22×C4×D11—28no—
100C22×C4×D11—44no—
101C22×C4×D11C23112yes—
102C22×C4×D11C23112yes—
103C22×Dic22—44no—
104C22×Dic22C23112yescomplemented
105C4×D4×C11C23164yescomplemented
106C2×C11×C4⋊C4C23112yescomplemented
107C2×C11×C22⋊C4C23112yes—
108C2×C11×C22⋊C4C23112yescomplemented
109C2×C42×C11C23112yescomplemented
110C2×C22⋊Dic11C23112yes—
111C2×C22⋊Dic11C23112yes—
112C2×C22⋊Dic11C23112yescomplemented
113C2×C22⋊Dic11C23112yescomplemented
114#66990C23164yes—
115#66988C23164yescomplemented
116#66982C23164yescomplemented
117C4×C22⋊D11C23164yescomplemented
118C2×(C2×D11)⋊C4C23112yes—
119C2×(C2×D11)⋊C4C23112yes—
120C2×(C2×D11)⋊C4C23112yes—
121C2×(C2×D11)⋊C4C23112yes—
122C2×(C2×D11)⋊C4C23112yes—
123C2×(C2×D11)⋊C4C23112yes—
124C2×(C2×D11)⋊C4C23112yes—
125C2×(C2×D11)⋊C4C23112yes—
126C2×(C2×D11)⋊C4C23164yescomplemented
127C2×C4⋊Dic11C23112yescomplemented
128#66977C23164yescomplemented
129C2×Dic11⋊C4C23112yescomplemented
130C2×Dic11⋊C4C23112yescomplemented
131C2×Dic11⋊C4C23112yescomplemented
132C2×Dic11⋊C4C23112yescomplemented
133C2×Dic11⋊C4C23112yescomplemented
134C2×Dic11⋊C4C23112yescomplemented
135C2×C4×Dic11C23112yescomplemented
136C2×C4×Dic11C23112yescomplemented
137#66951C23164yescomplemented
138#66949C23164yescomplemented
139#66938C23164yescomplemented
140#66936C23164yescomplemented
141C22⋊C4×D11C23164yescomplemented
142#66930C23164yescomplemented
143#66929C23164yescomplemented
144#66925C23164yescomplemented
145C22×#551—111nomaximal, Sylow
146C24×C11—24no—
147C24×C11—24no—
148C24×C11—24no—
149C24×C11—24no—
150C24×C11—24no—
151C24×C11#4118yes—
152C24×C11C2416yes—
153C24×C11C2416yes—
154C24×C11C2411yescharacteristic
155C23×D11—24no—
156C23×D11—24no—
157C23×D11—248no—
158C23×D11—24no—
159C23×D11—24no—
160C23×D11—24no—
161C23×D11—248no—
162C23×D11—424no—
163C23×D11—464no—
164C23×D11#4118yes—
165C23×D11C2416yes—
166C23×D11C24116yes—
167C23×D11C2416yes—
168C2×D4×C11—248no—
169C2×D4×C11C24116yes—
170C22×C4×C11—24no—
171C22×C4×C11—24no—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—24no—
175C22×C4×C11—424no—
176C22×C4×C11—424no—
177C22×C4×C11C2416yes—
178C22×C4×C11C2416yes—
179C22×C4×C11C2416yes—
180C22×C4×C11C2416yes—
181C22×C4×C11C2416yes—
182C22×C4×C11C24116yes—
183C22×C4×C11C24116yescomplemented
184C2×C22⋊D11—248no—
185C2×C22⋊D11—424no—
186C2×C22⋊D11C24116yes—
187C2×C22⋊D11C24116yes—
188C22×Dic11—24no—
189C22×Dic11—248no—
190C22×Dic11—24no—
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—24no—
194C22×Dic11—24no—
195C22×Dic11C24116yes—
196C22×Dic11C2416yes—
197C22×Dic11C2416yes—
198C22×Dic11C2416yes—
199C22×Dic11C2416yes—
200C22×Dic11C2416yes—
201C22×Dic11C2416yes—
202C2×C4×D11—248no—
203C2×C4×D11—424no—
204C2×C4×D11C24116yes—
205C2×C4×D11C24116yes—
206C2×Dic22—424no—
207C2×Dic22C24116yescomplemented
208C11×C4⋊C4C24116yescomplemented
209C11×C22⋊C4C24116yes—
210C11×C22⋊C4C24116yescomplemented
211C42×C11C24116yescomplemented
212C22⋊Dic11C24116yes—
213C22⋊Dic11C24116yes—
214C22⋊Dic11C24116yescomplemented
215C22⋊Dic11C24116yescomplemented
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)⋊C4C24116yes—
224C4⋊Dic11C24116yescomplemented
225Dic11⋊C4C24116yescomplemented
226Dic11⋊C4C24116yescomplemented
227Dic11⋊C4C24116yescomplemented
228Dic11⋊C4C24116yescomplemented
229Dic11⋊C4C24116yescomplemented
230Dic11⋊C4C24116yescomplemented
231C4×Dic11C24116yescomplemented
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×D4D1111yescharacteristic, complemented
245C22×#117—111no—
246C22×#117—111no—
247C23×C22⋊C4—111no—
248C23×C22⋊C4—111no—
249C23×C11—232no—
250C23×C11—212no—
251C23×C11—212no—
252C23×C11—212no—
253C23×C11—212no—
254C23×C11—212no—
255C23×C11—416no—
256C23×C11C2×#41124yes—
257C23×C11C2×#4114yes—
258C23×C11C2×#4114yes—
259C23×C11H(5,𝔽2)14yes—
260C23×C11C2514yes—
261C23×C11C2514yes—
262C23×C11C2513yes—
263C22×D11—232no—
264C22×D11—212no—
265C22×D11—212no—
266C22×D11—232no—
267C22×D11—212no—
268C22×D11—212no—
269C22×D11—212no—
270C22×D11—232no—
271C22×D11—416no—
272C22×D11—4192no—
273C22×D11—416no—
274C22×D11C2×#41124yes—
275C22×D11C2514yes—
276C22×D11C2514yes—
277D4×C11—232no—
278C2×C4×C11—212no—
279C2×C4×C11—212no—
280C2×C4×C11—212no—
281C2×C4×C11—212no—
282C2×C4×C11—212no—
283C2×C4×C11—416no—
284C2×C4×C11—416no—
285C2×C4×C11C2514yes—
286C2×C4×C11C2514yes—
287C2×C4×C11C2514yes—
288C2×C4×C11C2514yes—
289C2×C4×C11C2514yes—
290C22⋊D11—232no—
291C22⋊D11—416no—
292C2×Dic11—212no—
293C2×Dic11—232no—
294C2×Dic11—212no—
295C2×Dic11—212no—
296C2×Dic11—212no—
297C2×Dic11—212no—
298C2×Dic11—212no—
299C2×Dic11C2514yes—
300C2×Dic11C2514yes—
301C2×Dic11C2514yes—
302C2×Dic11C2514yes—
303C2×Dic11C2514yes—
304C2×Dic11C2514yes—
305C4×D11—232no—
306C4×D11—416no—
307Dic22—416no—
308C26—111no—
309C23×Q8—111no—
310C23×D4—111no—
311C23×D4—111no—
312C23×D4C2×D1111yescharacteristic
313C24×C4—111no—
314C24×C4—111no—
315C24×C4—111no—
316C24×C4C2×D1111yescharacteristic
317C24×C4C2×D1111yescharacteristic, complemented
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×D4C2×D11124yescomplemented
330C2×#117—1124no—
331C2×#117—1124no—
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⋊C4—111no—
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—111no—
350C22×C22⋊C4—111no—
351C22×C22⋊C4—111no—
352C22×C22⋊C4—1124no—
353C22×C22⋊C4—1124no—
354C22×C22⋊C4C2×D1111yescharacteristic
355C22×C22⋊C4C2×D1111yescharacteristic, complemented
356C22×C42—111no—
357C22×C42—111no—
358C22×C42C2×D1111yescharacteristic, complemented
359C22×C11—24no—
360C22×C11—24no—
361C22×C11—248no—
362C22×C11—24no—
363C22×C11—24no—
364C22×C11—24no—
365C22×C11—424no—
366C22×C11#551116yescomplemented
367C22×C11C22×#4118yes—
368C22×C11C22×#4116yes—
369C22×C11C22×#4116yes—
370C22×C11C2×H(5,𝔽2)16yes—
371C22×C11C2611yescharacteristic
372C2×D11—24no—
373C2×D11—24no—
374C2×D11—248no—
375C2×D11—24no—
376C2×D11—24no—
377C2×D11—24no—
378C2×D11—464no—
379C2×D11—424no—
380C2×D11C22×#4118yes—
381C4×C11—24no—
382C4×C11—24no—
383C4×C11—24no—
384C4×C11—24no—
385C4×C11—24no—
386Dic11—24no—
387Dic11—24no—
388Dic11—24no—
389Dic11—24no—
390Dic11—24no—
391Dic11—24no—
392C25—111no—
393C25—111no—
394C25—1112no—
395C25—228no—
396C25—228no—
397C25—444no—
398C25C22×D1111yescharacteristic
399C25C22×D1111yescharacteristic
400C22×Q8—1112no—
401C22×Q8—444no—
402C22×D4—28no—
403C22×D4—1112no—
404C22×D4—1112no—
405C22×D4—228no—
406C22×D4—444no—
407C22×D4C22×D11112yes—
408C23×C4—44no—
409C23×C4—44no—
410C23×C4—1112no—
411C23×C4—111no—
412C23×C4—111no—
413C23×C4—111no—
414C23×C4—111no—
415C23×C4—111no—
416C23×C4—111no—
417C23×C4—1112no—
418C23×C4—1112no—
419C23×C4—228no—
420C23×C4—228no—
421C23×C4—444no—
422C23×C4C22×D1111yescharacteristic
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D11112yes—
428C23×C4C22×D11112yescomplemented
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×D4C22×D11164yescomplemented
440#117—1164no—
441#117—1164no—
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⋊C4—1112no—
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—1112no—
458C2×C22⋊C4—1112no—
459C2×C22⋊C4—1112no—
460C2×C22⋊C4—1164no—
461C2×C22⋊C4—1112no—
462C2×C22⋊C4—1112no—
463C2×C22⋊C4—1164no—
464C2×C22⋊C4C22×D11112yes—
465C2×C22⋊C4C22×D11112yescomplemented
466C2×C42—1112no—
467C2×C42—1112no—
468C2×C42C22×D11112yescomplemented
469C2×C11—28no—
470C2×C11—44no—
471C2×C11C2×#551112yescomplemented
472C2×C11C23×#4111yescharacteristic
473C2×C11C23×#4111yescharacteristic
474C2×C11C22×H(5,𝔽2)11yescharacteristic
475D11—28no—
476D11—44no—
477C24—24no—
478C24—24no—
479C24—24no—
480C24—24no—
481C24—24no—
482C24—118no—
483C24—116no—
484C24—116no—
485C24—1116no—
486C24—2248no—
487C24—224no—
488C24—224no—
489C24—2248no—
490C24—224no—
491C24—224no—
492C24—224no—
493C24—4424no—
494C24—4464no—
495C24#433918yes—
496C24C23×D1116yes—
497C24C23×D1116yes—
498C24C23×D1111yescharacteristic
499C2×Q8—1116no—
500C2×Q8—4424no—
501C2×D4—248no—
502C2×D4—1116no—
503C2×D4—1116no—
504C2×D4—2248no—
505C2×D4—4424no—
506C2×D4C23×D11116yes—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—424no—
513C22×C4—424no—
514C22×C4—116no—
515C22×C4—116no—
516C22×C4—116no—
517C22×C4—116no—
518C22×C4—116no—
519C22×C4—116no—
520C22×C4—1116no—
521C22×C4—1116no—
522C22×C4—1116no—
523C22×C4—2248no—
524C22×C4—2248no—
525C22×C4—224no—
526C22×C4—224no—
527C22×C4—224no—
528C22×C4—224no—
529C22×C4—224no—
530C22×C4—224no—
531C22×C4—4424no—
532C22×C4C23×D1116yes—
533C22×C4C23×D1116yes—
534C22×C4C23×D1116yes—
535C22×C4C23×D1116yes—
536C22×C4C23×D1116yes—
537C22×C4C23×D11116yes—
538C22×C4C23×D11116yescomplemented
539C4⋊C4—1116no—
540C4⋊C4—1116no—
541C4⋊C4—1116no—
542C4⋊C4—1116no—
543C4⋊C4—1116no—
544C4⋊C4—1116no—
545C4⋊C4—1116no—
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×D11116yescomplemented
561C42—1116no—
562C42—1116no—
563C42C23×D11116yescomplemented
564C11C22×#55111yescharacteristic, complemented, Sylow
565C23—232no—
566C23—212no—
567C23—212no—
568C23—212no—
569C23—212no—
570C23—212no—
571C23—416no—
572C23—1124no—
573C23—114no—
574C23—114no—
575C23—2232no—
576C23—2232no—
577C23—2212no—
578C23—2212no—
579C23—2232no—
580C23—2212no—
581C23—2212no—
582C23—2212no—
583C23—4416no—
584C23—44192no—
585C23—4416no—
586C23C2×#4339124yes—
587C23C2×#433914yes—
588C23#6703714yes—
589C23#41×D1114yes—
590C23C24×D1114yes—
591C23C24×D1114yes—
592C23C24×D1113yes—
593Q8—4416no—
594D4—232no—
595D4—2232no—
596D4—4416no—
597C2×C4—212no—
598C2×C4—212no—
599C2×C4—212no—
600C2×C4—212no—
601C2×C4—212no—
602C2×C4—416no—
603C2×C4—416no—
604C2×C4—114no—
605C2×C4—114no—
606C2×C4—114no—
607C2×C4—114no—
608C2×C4—114no—
609C2×C4—114no—
610C2×C4—2232no—
611C2×C4—2232no—
612C2×C4—2212no—
613C2×C4—2212no—
614C2×C4—2212no—
615C2×C4—2212no—
616C2×C4—2212no—
617C2×C4—2212no—
618C2×C4—4416no—
619C2×C4C24×D1114yes—
620C2×C4C24×D1114yes—
621C2×C4C24×D1114yes—
622C2×C4C24×D1114yes—
623C2×C4C24×D1114yes—
624C22—248no—
625C22—24no—
626C22—24no—
627C22—24no—
628C22—24no—
629C22—24no—
630C22—424no—
631C22—118no—
632C22—2248no—
633C22—224no—
634C22—224no—
635C22—224no—
636C22—224no—
637C22—224no—
638C22—4464no—
639C22—4424no—
640C22#10623087116yesdirect product factor
641C22C22×#433918yes—
642C22C22×#433916yes—
643C22C2×#6703716yes—
644C22C2×#41×D1116yes—
645C22C25×D1111yescharacteristic
646C4—24no—
647C4—24no—
648C4—24no—
649C4—24no—
650C4—24no—
651C4—224no—
652C4—224no—
653C4—224no—
654C4—224no—
655C4—224no—
656C4—224no—
657C2—28no—
658C2—44no—
659C2—228no—
660C2—444no—
661C2C2×#10623087112yesdirect product factor
662C2C22×#41×D1111yescharacteristic
663C2C23×#433911yescharacteristic
664C2C22×#6703711yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC22×C4×D4×C11C2
socleC24×C11C24
prime radicalC22×#66990C2
hypercenterC22×C4×D4D11
hypocenterC11C22×#551
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#10623087C2direct (N × H)
2. C22×#66951C2semidirect
3. C22×#66929C2semidirect
4. C22×#66938C2semidirect
5. C22×#66982C2semidirect
6. C22×#66936C2semidirect
7. C22×#66988C2semidirect
8. C22×#66977C2semidirect
9. C22×#66949C2semidirect
11. C22×C4×C22⋊D11C2semidirect
12. C22×#66925C2semidirect
13. C22×#66930C2semidirect
14. C23×(C2×D11)⋊C4C2semidirect
15. C22×C22⋊C4×D11C2semidirect
16. C22×C4×D4×C11C2semidirect
20. C24×C4×C11C22semidirect
26. C23×Dic22C22semidirect
27. C2×C4×D4×C11C22semidirect
28. C22×C11×C4⋊C4C22semidirect
30. C22×C11×C22⋊C4C22semidirect
31. C22×C42×C11C22semidirect
34. C22×C22⋊Dic11C22semidirect
35. C22×C22⋊Dic11C22semidirect
37. C2×#66988C22semidirect
38. C2×#66982C22semidirect
39. C2×C4×C22⋊D11C22semidirect
48. C22×(C2×D11)⋊C4C22semidirect
49. C22×C4⋊Dic11C22semidirect
50. C2×#66977C22semidirect
51. C22×Dic11⋊C4C22semidirect
52. C22×Dic11⋊C4C22semidirect
53. C22×Dic11⋊C4C22semidirect
54. C22×Dic11⋊C4C22semidirect
55. C22×Dic11⋊C4C22semidirect
56. C22×Dic11⋊C4C22semidirect
57. C22×C4×Dic11C22semidirect
58. C22×C4×Dic11C22semidirect
59. #10623087C22direct (N × H)
60. C2×#66951C22semidirect
61. C2×#66949C22semidirect
62. C2×#66938C22semidirect
63. C2×#66936C22semidirect
64. C2×C22⋊C4×D11C22semidirect
65. C2×#66930C22semidirect
66. C2×#66929C22semidirect
67. C2×#66925C22semidirect
86. C23×C4×C11C23semidirect
104. C22×Dic22C23semidirect
105. C4×D4×C11C23semidirect
106. C2×C11×C4⋊C4C23semidirect
108. C2×C11×C22⋊C4C23semidirect
109. C2×C42×C11C23semidirect
112. C2×C22⋊Dic11C23semidirect
113. C2×C22⋊Dic11C23semidirect
115. #66988C23semidirect
116. #66982C23semidirect
117. C4×C22⋊D11C23semidirect
126. C2×(C2×D11)⋊C4C23semidirect
127. C2×C4⋊Dic11C23semidirect
128. #66977C23semidirect
129. C2×Dic11⋊C4C23semidirect
130. C2×Dic11⋊C4C23semidirect
131. C2×Dic11⋊C4C23semidirect
132. C2×Dic11⋊C4C23semidirect
133. C2×Dic11⋊C4C23semidirect
134. C2×Dic11⋊C4C23semidirect
135. C2×C4×Dic11C23semidirect
136. C2×C4×Dic11C23semidirect
137. #66951C23semidirect
138. #66949C23semidirect
139. #66938C23semidirect
140. #66936C23semidirect
141. C22⋊C4×D11C23semidirect
142. #66930C23semidirect
143. #66929C23semidirect
144. #66925C23semidirect
183. C22×C4×C11C24semidirect
207. C2×Dic22C24semidirect
208. C11×C4⋊C4C24semidirect
210. C11×C22⋊C4C24semidirect
211. C42×C11C24semidirect
214. C22⋊Dic11C24semidirect
215. C22⋊Dic11C24semidirect
224. C4⋊Dic11C24semidirect
225. Dic11⋊C4C24semidirect
226. Dic11⋊C4C24semidirect
227. Dic11⋊C4C24semidirect
228. Dic11⋊C4C24semidirect
229. Dic11⋊C4C24semidirect
230. Dic11⋊C4C24semidirect
231. C4×Dic11C24semidirect
232. C4×Dic11C24semidirect
244. C22×C4×D4D11semidirect
317. C24×C4C2×D11semidirect
329. C2×C4×D4C2×D11semidirect
339. C22×C4⋊C4C2×D11semidirect
355. C22×C22⋊C4C2×D11semidirect
358. C22×C42C2×D11semidirect
366. C22×C11#551semidirect
428. C23×C4C22×D11semidirect
439. C4×D4C22×D11semidirect
449. C2×C4⋊C4C22×D11semidirect
465. C2×C22⋊C4C22×D11semidirect
468. C2×C42C22×D11semidirect
471. C2×C11C2×#551semidirect
538. C22×C4C23×D11semidirect
546. C4⋊C4C23×D11semidirect
560. C22⋊C4C23×D11semidirect
563. C42C23×D11semidirect
564. C11C22×#551semidirect
640. C22#10623087direct (N × H)
661. C2C2×#10623087direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230872
C22×#669512
C22×#669292
C22×#669382
C22×#669822
C22×#669362
C22×#669882
C22×#669772
C22×#669492
C22×#669902
C22×C4×C22⋊D112
C22×#669252
C22×#669302
C23×(C2×D11)⋊C42
C22×C22⋊C4×D112
C22×C4×D4×C112
C22×#55111