Finite Group Databasebeta

← #14926402

Subgroups — #14926402

Order 2816.

4082 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
3#13076901C211yesmaximal, characteristic, complemented
4#13076896C211yesmaximal, characteristic, complemented
5#13076894C211yesmaximal, characteristic, complemented
6#13076892C211yesmaximal, characteristic, complemented
7#13074427C211yesmaximal, characteristic, complemented
8#13074394C211yesmaximal, characteristic, complemented
9#13074393C211yesmaximal, characteristic, complemented
10#13074356C211yesmaximal, characteristic, complemented
11#13072864C212yesmaximal, complemented
12#13072862C212yesmaximal, complemented
13#13072744C212yesmaximal, complemented
14#13072742C212yesmaximal, complemented
15#13072154C212yesmaximal, complemented
16#13072146C212yesmaximal, complemented
17#13072080C212yesmaximal, complemented
18#13072072C212yesmaximal, complemented
19#13071276C211yesmaximal, characteristic, complemented
20#13071270C211yesmaximal, characteristic, complemented
21#13071211C211yesmaximal, characteristic, complemented
22C4×#67006C211yesmaximal, characteristic, complemented
23C4×C11×#120C211yesmaximal, characteristic, complemented
24C25×D11C2211yescharacteristic
25C24×C4×C11C2211yescharacteristic
26C24×Dic11C2211yescharacteristic
27C2×C11×#120C2211yescharacteristic
28C2×C4×D4×C11C2211yescharacteristic, complemented
29C2×C4×D4×C11C2212yescomplemented
30C2×#67006C2211yescharacteristic
31C2×#66992C2211yescharacteristic, complemented
32C2×#66992C2212yescomplemented
33C2×#66990C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×#66990C2212yes—
36C2×#66990C2212yes—
37C2×#66983C2211yescharacteristic, complemented
38C2×#66982C2211yescharacteristic, complemented
39C2×C4×C22⋊D11C2211yescharacteristic, complemented
40C2×C4×C22⋊D11C2212yescomplemented
41C22×(C2×D11)⋊C4—28no—
42C22×(C2×D11)⋊C4C2212yes—
43C22×(C2×D11)⋊C4C2212yes—
44C22×(C2×D11)⋊C4C2212yes—
45C22×(C2×D11)⋊C4C2212yes—
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C22×(C2×D11)⋊C4C2211yescharacteristic
48C22×(C2×D11)⋊C4C2211yescharacteristic
49C22×(C2×D11)⋊C4C2211yescharacteristic
50#10623091—28no—
51C2×#66951C2211yescharacteristic, complemented
52C2×#66947C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic, complemented
54C2×#66937C2211yescharacteristic, complemented
55C2×#66935C2211yescharacteristic
56C2×#66935C2211yescharacteristic
57C2×#66935C2212yes—
58C2×#66935C2212yes—
59C2×#66931C2211yescharacteristic, complemented
60C2×#66931C2212yescomplemented
61C2×#66929C2211yescharacteristic, complemented
62C2×#66928C2211yescharacteristic, complemented
63C11×#386C2212yescomplemented
64C11×#386C2211yescharacteristic, complemented
65C11×#385C2212yescomplemented
66C11×#385C2211yescharacteristic, complemented
67C11×#379C2211yescharacteristic
68C4×C11×C22⋊C4C2212yescomplemented
69C4×C11×C22⋊C4C2211yescharacteristic, complemented
70#10622860C2211yescharacteristic
71#10622833C2212yescomplemented
72#10622833C2211yescharacteristic, complemented
73#10622826C2212yescomplemented
74#10622826C2212yescomplemented
75#10622826C2211yescharacteristic, complemented
76#10622823C2212yescomplemented
77#10622823C2211yescharacteristic, complemented
78C4×C22⋊Dic11C2212yescomplemented
79C4×C22⋊Dic11C2211yescharacteristic, complemented
80#10622607C2212yescomplemented
81#10622606C2212yescomplemented
82#10622605C2212yescomplemented
83#10622604C2212yescomplemented
84#10622603C2212yescomplemented
85#10622574C2212yescomplemented
86#10622573C2212yescomplemented
87#10622572C2212yescomplemented
88#10622572C2212yescomplemented
89#10622571C2212yescomplemented
90#10622571C2211yescharacteristic, complemented
91#10622570C2212yescomplemented
92#10622568C2212yes—
93#10622568C2212yes—
94#10622568C2211yescharacteristic
95#10622568C2211yescharacteristic
96#10622568C2211yescharacteristic
97#10622568C2212yes—
98#10622568C2211yescharacteristic
99#10622568C2212yes—
100#10622563C2212yescomplemented
101#10622563C2211yescharacteristic, complemented
102#10622559C2212yescomplemented
103#10622559C2211yescharacteristic, complemented
104#10622555C2211yescharacteristic, complemented
105#10622555C2211yescharacteristic, complemented
106#10622555C2212yescomplemented
107#10622555C2212yescomplemented
108#10622553C2212yescomplemented
109#10622553C2212yescomplemented
110#10622553C2212yescomplemented
111#10622553C2212yescomplemented
112#10622552C2212yescomplemented
113#10622289C2212yescomplemented
114#10622288C2212yescomplemented
115#10622288C2212yescomplemented
116#10622288C2212yescomplemented
117#10622287C2212yescomplemented
118#10622286C2212yescomplemented
119#10622285C2212yescomplemented
120#10622285C2212yescomplemented
121#10622283C2212yescomplemented
122#10622282C2212yescomplemented
123#10622282C2212yescomplemented
124#10622278C2212yescomplemented
125C25×C11C2311yescharacteristic
126C24×D11—24no—
127C24×D11—24no—
128C24×D11—24no—
129C24×D11—44no—
130C24×D11—44no—
131C24×D11C2312yes—
132C24×D11C2312yes—
133C24×D11C2311yescharacteristic
134C24×D11C2311yescharacteristic
135C22×D4×C11C2311yescharacteristic
136C22×D4×C11C2312yes—
137C23×C4×C11—24no—
138C23×C4×C11—44no—
139C23×C4×C11C2312yes—
140C23×C4×C11C2312yes—
141C23×C4×C11C2311yescharacteristic
142C23×C4×C11C2311yescharacteristic
143C23×C4×C11C2311yescharacteristic, complemented
144C22×C22⋊D11C2311yescharacteristic
145C22×C22⋊D11C2312yes—
146C22×C22⋊D11C2311yescharacteristic
147C22×C22⋊D11C2311yescharacteristic
148C22×C22⋊D11C2312yes—
149C22×C22⋊D11C2311yescharacteristic, complemented
150C23×Dic11—24no—
151C23×Dic11—44no—
152C23×Dic11C2312yes—
153C23×Dic11C2312yes—
154C23×Dic11C2311yescharacteristic
155C23×Dic11C2311yescharacteristic
156C22×D44C2311yescharacteristic
157C22×D44C2311yescharacteristic
158C22×D44C2312yes—
159C22×C4×D11C2311yescharacteristic, complemented
160C22×Dic22C2311yescharacteristic, complemented
161C11×#120—24no—
162C4×D4×C11—24no—
163C4×D4×C11—44no—
164C2×C11×C4⋊C4C2311yescharacteristic, complemented
165C2×C11×C4⋊C4C2312yescomplemented
166C2×C11×C22⋊C4C2312yes—
167C2×C11×C22⋊C4C2311yescharacteristic
168C2×C11×C22⋊C4C2311yescharacteristic
169C2×C11×C22⋊C4C2312yes—
170C2×C11×C22⋊C4C2311yescharacteristic
171C2×C11×C22⋊C4C2312yes—
172C2×C11×C22⋊C4C2311yescharacteristic, complemented
173C2×C11×C22⋊C4C2312yescomplemented
174C2×C42×C11C2311yescharacteristic, complemented
175C2×C42×C11C2312yescomplemented
176#67006—24no—
177C2×C22⋊Dic11C2311yescharacteristic
178C2×C22⋊Dic11C2312yes—
179C2×C22⋊Dic11C2312yes—
180C2×C22⋊Dic11C2311yescharacteristic
181C2×C22⋊Dic11C2311yescharacteristic
182C2×C22⋊Dic11C2312yes—
183C2×C22⋊Dic11C2311yescharacteristic, complemented
184C2×C22⋊Dic11C2312yescomplemented
185#66992—24no—
186#66992—44no—
187#66990—24no—
188#66990—24no—
189#66990—44no—
190#66990—44no—
191#66983—24no—
192#66982—24no—
193C4×C22⋊D11—24no—
194C4×C22⋊D11—44no—
195C2×(C2×D11)⋊C4—24no—
196C2×(C2×D11)⋊C4—24no—
197C2×(C2×D11)⋊C4—24no—
198C2×(C2×D11)⋊C4—28no—
199C2×(C2×D11)⋊C4—28no—
200C2×(C2×D11)⋊C4—28no—
201C2×(C2×D11)⋊C4—28no—
202C2×(C2×D11)⋊C4D418yescomplemented
203C2×(C2×D11)⋊C4C2311yescharacteristic
204C2×(C2×D11)⋊C4C2311yescharacteristic
205C2×(C2×D11)⋊C4C2311yescharacteristic
206C2×(C2×D11)⋊C4C2311yescharacteristic
207C2×(C2×D11)⋊C4C2312yes—
208C2×(C2×D11)⋊C4C2312yes—
209C2×(C2×D11)⋊C4C2312yes—
210C2×(C2×D11)⋊C4C2312yes—
211C2×(C2×D11)⋊C4C2312yes—
212C2×(C2×D11)⋊C4C2312yes—
213C2×(C2×D11)⋊C4C2312yes—
214C2×(C2×D11)⋊C4C2312yes—
215C2×(C2×D11)⋊C4C2312yes—
216C2×(C2×D11)⋊C4C2312yes—
217C2×(C2×D11)⋊C4C2312yes—
218C2×(C2×D11)⋊C4C2312yes—
219C2×(C2×D11)⋊C4C2312yes—
220C2×(C2×D11)⋊C4C2312yes—
221C2×(C2×D11)⋊C4C2312yes—
222C2×(C2×D11)⋊C4C2312yes—
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
228C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
229C2×(C2×D11)⋊C4C2312yescomplemented
230C2×(C2×D11)⋊C4C2312yescomplemented
231C2×C4⋊Dic11C2311yescharacteristic, complemented
232C2×C4⋊Dic11C2312yescomplemented
233C2×Dic11⋊C4C2311yescharacteristic, complemented
234C2×Dic11⋊C4C2311yescharacteristic, complemented
235C2×Dic11⋊C4C2311yescharacteristic, complemented
236C2×Dic11⋊C4C2311yescharacteristic, complemented
237C2×Dic11⋊C4C2312yescomplemented
238C2×Dic11⋊C4C2312yescomplemented
239C2×Dic11⋊C4C2312yescomplemented
240C2×Dic11⋊C4C2312yescomplemented
241C2×C4×Dic11C2311yescharacteristic, complemented
242C2×C4×Dic11C2312yescomplemented
243#66951—24no—
244#66947—24no—
245#66938—24no—
246#66937—24no—
247#66935—24no—
248#66935—24no—
249#66935—44no—
250#66935—44no—
251#66931—24no—
252#66931—44no—
253#66929—24no—
254#66928—24no—
255C11×#95C2312yescomplemented
256C11×#95C2312yescomplemented
257C11×#95C2312yescomplemented
258C11⋊#95C2312yescomplemented
259C11⋊#95C2312yescomplemented
260C11⋊#95C2312yescomplemented
261C11⋊#95C2312yescomplemented
262C11⋊#95C2312yescomplemented
263C11⋊#95C2312yescomplemented
264C11⋊#95C2312yescomplemented
265C11⋊#95C2312yescomplemented
266C11⋊#95C2312yescomplemented
267#34988—111nomaximal, Sylow
268C24×C11—22no—
269C24×C11—22no—
270C24×C11—24no—
271C24×C11—24no—
272C24×C11#4114yes—
273C24×C11C2411yescharacteristic
274C24×C11C2411yescharacteristic
275C24×C11C2412yes—
276C23×D11—232no—
277C23×D11—22no—
278C23×D11—24no—
279C23×D11—24no—
280C23×D11—22no—
281C23×D11—22no—
282C23×D11—22no—
283C23×D11—24no—
284C23×D11—24no—
285C23×D11—24no—
286C23×D11—24no—
287C23×D11—24no—
288C23×D11—24no—
289C23×D11—24no—
290C23×D11—24no—
291C23×D11—42no—
292C23×D11—42no—
293C23×D11—42no—
294C23×D11—42no—
295C23×D11—42no—
296C23×D11—42no—
297C23×D11—42no—
298C23×D11—42no—
299C23×D11—416no—
300C23×D11—416no—
301C23×D11—432no—
302C23×D11—432no—
303C23×D11C2×D414yes—
304C23×D11#4114yes—
305C23×D11C2411yescharacteristic
306C23×D11C2411yescharacteristic
307C23×D11C2411yescharacteristic
308C23×D11C2412yes—
309C2×D4×C11—22no—
310C2×D4×C11—22no—
311C2×D4×C11—22no—
312C2×D4×C11—24no—
313C2×D4×C11—24no—
314C2×D4×C11—24no—
315C22×C4×C11—22no—
316C22×C4×C11—24no—
317C22×C4×C11—24no—
318C22×C4×C11—24no—
319C22×C4×C11—24no—
320C22×C4×C11—22no—
321C22×C4×C11—42no—
322C22×C4×C11—42no—
323C22×C4×C11—42no—
324C22×C4×C11—42no—
325C22×C4×C11—42no—
326C22×C4×C11—416no—
327C22×C4×C11C2×D414yes—
328C22×C4×C11C2412yes—
329C22×C4×C11C2411yescharacteristic
330C22×C4×C11C2412yes—
331C22×C4×C11C2412yes—
332C22×C4×C11C2411yescharacteristic
333C22×C4×C11C2411yescharacteristic
334C22×C4×C11C2411yescharacteristic
335C22×C4×C11C2411yescharacteristic
336C2×C22⋊D11—22no—
337C2×C22⋊D11—22no—
338C2×C22⋊D11—22no—
339C2×C22⋊D11—22no—
340C2×C22⋊D11—24no—
341C2×C22⋊D11—24no—
342C2×C22⋊D11—24no—
343C2×C22⋊D11—22no—
344C2×C22⋊D11—22no—
345C2×C22⋊D11—24no—
346C2×C22⋊D11—42no—
347C2×C22⋊D11—42no—
348C2×C22⋊D11—42no—
349C2×C22⋊D11—42no—
350C2×C22⋊D11—42no—
351C22×Dic11—24no—
352C22×Dic11—24no—
353C22×Dic11—22no—
354C22×Dic11—24no—
355C22×Dic11—24no—
356C22×Dic11—42no—
357C22×Dic11—42no—
358C22×Dic11—42no—
359C22×Dic11—42no—
360C22×Dic11—416no—
361C22×Dic11C2×D414yes—
362C22×Dic11C2411yescharacteristic
363C22×Dic11C2412yes—
364C22×Dic11C2412yes—
365C22×Dic11C2412yes—
366C22×Dic11C2411yescharacteristic
367C22×Dic11C2411yescharacteristic
368C22×Dic11C2411yescharacteristic
369C22×Dic11C2411yescharacteristic
370C2×D44—22no—
371C2×D44—22no—
372C2×D44—24no—
373C2×D44—42no—
374C2×D44—42no—
375C2×D44—42no—
376C2×D44—42no—
377C2×C4×D11—22no—
378C2×C4×D11—42no—
379C2×Dic22—22no—
380C2×Dic22—42no—
381C11×C4⋊C4—22no—
382C11×C4⋊C4—42no—
383C11×C22⋊C4—22no—
384C11×C22⋊C4—22no—
385C11×C22⋊C4—22no—
386C11×C22⋊C4—24no—
387C11×C22⋊C4—24no—
388C11×C22⋊C4—24no—
389C11×C22⋊C4—22no—
390C11×C22⋊C4—42no—
391C42×C11—22no—
392C42×C11—42no—
393C22⋊Dic11—22no—
394C22⋊Dic11—22no—
395C22⋊Dic11—22no—
396C22⋊Dic11—22no—
397C22⋊Dic11—24no—
398C22⋊Dic11—24no—
399C22⋊Dic11—24no—
400C22⋊Dic11—42no—
401(C2×D11)⋊C4—22no—
402(C2×D11)⋊C4—24no—
403(C2×D11)⋊C4—24no—
404(C2×D11)⋊C4—22no—
405(C2×D11)⋊C4—22no—
406(C2×D11)⋊C4—22no—
407(C2×D11)⋊C4—22no—
408(C2×D11)⋊C4—24no—
409(C2×D11)⋊C4—24no—
410(C2×D11)⋊C4—24no—
411(C2×D11)⋊C4—24no—
412(C2×D11)⋊C4—22no—
413(C2×D11)⋊C4—24no—
414(C2×D11)⋊C4—24no—
415(C2×D11)⋊C4—42no—
416(C2×D11)⋊C4—42no—
417(C2×D11)⋊C4—42no—
418(C2×D11)⋊C4—42no—
419(C2×D11)⋊C4—42no—
420(C2×D11)⋊C4—42no—
421(C2×D11)⋊C4—42no—
422(C2×D11)⋊C4—42no—
423(C2×D11)⋊C4—42no—
424(C2×D11)⋊C4—42no—
425(C2×D11)⋊C4C2×D414yes—
426(C2×D11)⋊C4C2×D414yes—
427(C2×D11)⋊C4C2×D414yes—
428(C2×D11)⋊C4C2×D414yes—
429C4⋊Dic11—22no—
430C4⋊Dic11—42no—
431Dic11⋊C4—22no—
432Dic11⋊C4—22no—
433Dic11⋊C4—22no—
434Dic11⋊C4—22no—
435Dic11⋊C4—42no—
436Dic11⋊C4—42no—
437Dic11⋊C4—42no—
438Dic11⋊C4—42no—
439C4×Dic11—22no—
440C4×Dic11—42no—
441C2×#538—111no—
442C23×C22⋊C4—111no—
443#2848—111no—
444#2847—111no—
445#2846—111no—
446#2846—111no—
447#2626—111no—
448#2622—111no—
449#2622—111no—
450#2617—111no—
451#2480—112no—
452#2480—112no—
453#2472—112no—
454#2472—112no—
455#2424—112no—
456#2424—112no—
457#2418—112no—
458#2418—112no—
459#2321—111no—
460#2321—111no—
461#2312—111no—
462C4×#120—111no—
463C4×#120D1111yescharacteristic, complemented
464C23×C11—28no—
465C23×C11—28no—
466C23×C11—216no—
467C23×C11—28no—
468C23×C11—216no—
469C23×C11—22no—
470C23×C11—22no—
471C23×C11—22no—
472C23×C11—22no—
473C23×C11—22no—
474C23×C11—22no—
475C23×C11—21no—
476C23×C11—21no—
477C23×C11—21no—
478C23×C11—22no—
479C23×C11—22no—
480C23×C11C22×D412yes—
481C23×C11C2×#4112yes—
482C23×C11C2×#4114yes—
483C23×C11C2×#4112yes—
484C23×C11H(5,𝔽2)14yes—
485C23×C11H(5,𝔽2)14yes—
486C23×C11C2511yescharacteristic
487C22×D11—216no—
488C22×D11—216no—
489C22×D11—28no—
490C22×D11—28no—
491C22×D11—22no—
492C22×D11—21no—
493C22×D11—21no—
494C22×D11—22no—
495C22×D11—21no—
496C22×D11—21no—
497C22×D11—22no—
498C22×D11—22no—
499C22×D11—22no—
500C22×D11—22no—
501C22×D11—22no—
502C22×D11—22no—
503C22×D11—22no—
504C22×D11—22no—
505C22×D11—21no—
506C22×D11—21no—
507C22×D11—21no—
508C22×D11—22no—
509C22×D11—22no—
510C22×D11—44no—
511C22×D11—44no—
512C22×D11—48no—
513C22×D11—48no—
514C22×D11—48no—
515C22×D11—48no—
516C22×D11—48no—
517C22×D11—48no—
518C22×D11—48no—
519C22×D11—48no—
520C22×D11—48no—
521C22×D11—4128no—
522C22×D11—48no—
523C22×D11—48no—
524C22×D11—48no—
525C22×D11—48no—
526C22×D11—44no—
527C22×D11—44no—
528C22×D11—48no—
529C22×D11—48no—
530C22×D11—48no—
531C22×D11C22×D412yes—
532C22×D11C22×D412yes—
533C22×D11C2×#4114yes—
534D4×C11—44no—
535D4×C11—48no—
536C2×C4×C11—22no—
537C2×C4×C11—22no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—22no—
542C2×C4×C11—21no—
543C2×C4×C11—22no—
544C2×C4×C11—21no—
545C2×C4×C11—22no—
546C2×C4×C11—22no—
547C2×C4×C11—22no—
548C2×C4×C11—22no—
549C2×C4×C11—22no—
550C2×C4×C11—22no—
551C2×C4×C11—22no—
552C2×C4×C11—22no—
553C2×C4×C11—22no—
554C2×C4×C11—44no—
555C2×C4×C11—48no—
556C2×C4×C11—48no—
557C2×C4×C11—44no—
558C2×C4×C11—82no—
559C2×C4×C11C22×D412yes—
560C2×C4×C11C22×D412yes—
561C22⋊D11—44no—
562C22⋊D11—48no—
563C22⋊D11—82no—
564C22⋊D11—82no—
565C22⋊D11—82no—
566C22⋊D11—84no—
567C2×Dic11—22no—
568C2×Dic11—22no—
569C2×Dic11—21no—
570C2×Dic11—21no—
571C2×Dic11—21no—
572C2×Dic11—22no—
573C2×Dic11—21no—
574C2×Dic11—22no—
575C2×Dic11—21no—
576C2×Dic11—22no—
577C2×Dic11—22no—
578C2×Dic11—22no—
579C2×Dic11—22no—
580C2×Dic11—22no—
581C2×Dic11—22no—
582C2×Dic11—22no—
583C2×Dic11—22no—
584C2×Dic11—22no—
585C2×Dic11—44no—
586C2×Dic11—48no—
587C2×Dic11—48no—
588C2×Dic11—44no—
589C2×Dic11C22×D412yes—
590C2×Dic11C22×D412yes—
591D44—82no—
592D44—82no—
593D44—84no—
594C4×D11—82no—
595Dic22—82no—
596C26—111no—
597C24×C4—111no—
598C24×C4C2×D1111yescharacteristic
599#538—228no—
600C2×#126—111no—
601C2×#126—111no—
602C2×#124—111no—
603C2×#124—111no—
604C2×#123—111no—
605C2×#123—111no—
606C2×C22⋊Q8—111no—
607C2×C22⋊Q8—112no—
608C2×#121—111no—
609C2×#121—111no—
610C2×#121—112no—
611C2×#121—111no—
612C2×#120—111no—
613C2×#120—111no—
614C2×#120—111no—
615C2×#120—112no—
616C2×#120—112no—
617C2×#120—111no—
618C2×#120—111no—
619C2×#120—112no—
620C2×#120—112no—
621C2×#120C2×D1111yescharacteristic
622C2×C4×D4—111no—
623C2×C4×D4—112no—
624C2×C4×D4C2×D1111yescharacteristic, complemented
625C2×C4×D4C2×D1112yescomplemented
626C22×C22⋊C4—111no—
627C22×C22⋊C4—111no—
628C22×C22⋊C4—111no—
629C22×C22⋊C4—111no—
630C22×C22⋊C4—112no—
631C22×C22⋊C4—112no—
632C22×C22⋊C4—112no—
633C22×C22⋊C4—112no—
634C22×C22⋊C4—228no—
635#399—112no—
636#397—112no—
637#397—112no—
638#397—112no—
639#397—112no—
640#397—112no—
641#396—112no—
642#396—112no—
643#394—112no—
644#394—112no—
645#394—112no—
646#394—112no—
647#394—112no—
648#394—112no—
649#393—112no—
650#392—112no—
651#390—112no—
652#390—112no—
653#388—112no—
654#388—112no—
655#388—112no—
656#388—112no—
657#388—112no—
658#388—112no—
659#388—112no—
660#388—112no—
661#386—111no—
662#386—112no—
663#386—111no—
664#386—112no—
665#386—112no—
666#386—111no—
667#386—112no—
668#386—112no—
669#386C2×D1111yescharacteristic, complemented
670#386C2×D1112yescomplemented
671#385—111no—
672#385—112no—
673#385—111no—
674#385—111no—
675#385—112no—
676#385—112no—
677#385C2×D1111yescharacteristic, complemented
678#385C2×D1112yescomplemented
679#380—111no—
680#380—111no—
681#380—112no—
682#380—112no—
683#379—111no—
684#379—111no—
685#379—111no—
686#379—111no—
687#379—111no—
688#379—112no—
689#379—112no—
690#379—112no—
691#379—112no—
692#379C2×D1111yescharacteristic
693C4×C22⋊C4—111no—
694C4×C22⋊C4—112no—
695C4×C22⋊C4C2×D1111yescharacteristic, complemented
696C4×C22⋊C4C2×D1112yescomplemented
697C22×C11—232no—
698C22×C11—24no—
699C22×C11—24no—
700C22×C11—24no—
701C22×C11—22no—
702C22×C11—24no—
703C22×C11—22no—
704C22×C11—24no—
705C22×C11—24no—
706C22×C11—24no—
707C22×C11—24no—
708C22×C11—41no—
709C22×C11—42no—
710C22×C11—41no—
711C22×C11—41no—
712C22×C11—42no—
713C22×C11#52514yes—
714C22×C11#53818yescomplemented
715C22×C11C23×D411yescharacteristic
716C22×C11C22×#4111yescharacteristic
717C22×C11C22×#4111yescharacteristic
718C22×C11C2×H(5,𝔽2)12yes—
719C22×C11C2×H(5,𝔽2)12yes—
720C2×D11—22no—
721C2×D11—22no—
722C2×D11—24no—
723C2×D11—22no—
724C2×D11—22no—
725C2×D11—22no—
726C2×D11—22no—
727C2×D11—24no—
728C2×D11—24no—
729C2×D11—416no—
730C2×D11—416no—
731C2×D11—432no—
732C2×D11—432no—
733C2×D11—42no—
734C2×D11—42no—
735C2×D11—42no—
736C2×D11—42no—
737C2×D11—42no—
738C2×D11—42no—
739C2×D11—42no—
740C2×D11—42no—
741C2×D11—41no—
742C2×D11—42no—
743C2×D11—41no—
744C2×D11—41no—
745C2×D11—42no—
746C4×C11—22no—
747C4×C11—22no—
748C4×C11—41no—
749C4×C11—42no—
750C4×C11—42no—
751C4×C11—41no—
752C4×C11—41no—
753C4×C11—42no—
754Dic11—22no—
755Dic11—22no—
756Dic11—41no—
757Dic11—42no—
758Dic11—41no—
759Dic11—41no—
760Dic11—42no—
761Dic11—42no—
762C25—111no—
763C25—111no—
764C25—112no—
765C25—112no—
766C25—224no—
767C25—224no—
768C25—224no—
769C25—444no—
770C25—444no—
771C25C22×D1111yescharacteristic
772C22×Q8—111no—
773C22×D4—111no—
774C22×D4—112no—
775C22×D4—111no—
776C22×D4—111no—
777C22×D4—112no—
778C22×D4—111no—
779C22×D4—111no—
780C22×D4—111no—
781C22×D4—112no—
782C22×D4C22×D1111yescharacteristic
783C22×D4C22×D1112yes—
784C23×C4—24no—
785C23×C4—44no—
786C23×C4—111no—
787C23×C4—112no—
788C23×C4—112no—
789C23×C4—111no—
790C23×C4—111no—
791C23×C4—224no—
792C23×C4—444no—
793C23×C4C22×D1112yes—
794C23×C4C22×D1112yes—
795C23×C4C22×D1111yescharacteristic
796C23×C4C22×D1111yescharacteristic
797C23×C4C22×D1111yescharacteristic, complemented
798#126—224no—
799#126—224no—
800#124—224no—
801#124—224no—
802#123—224no—
803#123—224no—
804C22⋊Q8—224no—
805C22⋊Q8—444no—
806#121—224no—
807#121—224no—
808#121—224no—
809#121—444no—
810#120—24no—
811#120—224no—
812#120—224no—
813#120—224no—
814#120—224no—
815#120—224no—
816#120—444no—
817#120—444no—
818#120—444no—
819#120—444no—
820C4×D4—24no—
821C4×D4—44no—
822C4×D4—224no—
823C4×D4—444no—
824C2×C4⋊C4—111no—
825C2×C4⋊C4—111no—
826C2×C4⋊C4—111no—
827C2×C4⋊C4—111no—
828C2×C4⋊C4—111no—
829C2×C4⋊C4—112no—
830C2×C4⋊C4—112no—
831C2×C4⋊C4—112no—
832C2×C4⋊C4—112no—
833C2×C4⋊C4—112no—
834C2×C4⋊C4C22×D1111yescharacteristic, complemented
835C2×C4⋊C4C22×D1112yescomplemented
836C2×C22⋊C4—118no—
837C2×C22⋊C4—111no—
838C2×C22⋊C4—111no—
839C2×C22⋊C4—111no—
840C2×C22⋊C4—111no—
841C2×C22⋊C4—111no—
842C2×C22⋊C4—112no—
843C2×C22⋊C4—112no—
844C2×C22⋊C4—111no—
845C2×C22⋊C4—112no—
846C2×C22⋊C4—111no—
847C2×C22⋊C4—111no—
848C2×C22⋊C4—112no—
849C2×C22⋊C4—112no—
850C2×C22⋊C4—112no—
851C2×C22⋊C4—112no—
852C2×C22⋊C4—112no—
853C2×C22⋊C4—112no—
854C2×C22⋊C4—111no—
855C2×C22⋊C4—111no—
856C2×C22⋊C4—111no—
857C2×C22⋊C4—111no—
858C2×C22⋊C4—111no—
859C2×C22⋊C4—112no—
860C2×C22⋊C4—112no—
861C2×C22⋊C4—111no—
862C2×C22⋊C4—112no—
863C2×C22⋊C4—112no—
864C2×C22⋊C4—112no—
865C2×C22⋊C4—112no—
866C2×C22⋊C4—112no—
867C2×C22⋊C4—112no—
868C2×C22⋊C4—112no—
869C2×C22⋊C4—112no—
870C2×C22⋊C4—112no—
871C2×C22⋊C4—112no—
872C2×C22⋊C4—112no—
873C2×C22⋊C4—228no—
874C2×C22⋊C4—228no—
875C2×C22⋊C4—228no—
876C2×C22⋊C4—228no—
877C2×C22⋊C4—224no—
878C2×C22⋊C4—224no—
879C2×C22⋊C4—224no—
880C2×C22⋊C4C22×D1111yescharacteristic
881C2×C22⋊C4C22×D1112yes—
882C2×C22⋊C4C22×D1112yes—
883C2×C22⋊C4C22×D1111yescharacteristic
884C2×C22⋊C4C22×D1111yescharacteristic
885C2×C22⋊C4C22×D1112yes—
886C2×C22⋊C4C22×D1111yescharacteristic, complemented
887C2×C22⋊C4C22×D1112yescomplemented
888C2×C42—111no—
889C2×C42—112no—
890C2×C42C22×D1111yescharacteristic, complemented
891C2×C42C22×D1112yescomplemented
892#95—112no—
893#95—112no—
894#95—112no—
895#95—112no—
896#95—112no—
897#95—112no—
898#95—112no—
899#95—112no—
900#95—112no—
901#95C22×D1112yescomplemented
902#95C22×D1112yescomplemented
903#95C22×D1112yescomplemented
904C2×C11—24no—
905C2×C11—28no—
906C2×C11—81no—
907C2×C11C2×#52511yescharacteristic
908C2×C11C2×#53812yes—
909C2×C11#348411yescharacteristic
910C2×C11#348411yescharacteristic
911C2×C11#349012yes—
912D11—42no—
913D11—42no—
914D11—44no—
915D11—81no—
916C24—22no—
917C24—24no—
918C24—22no—
919C24—24no—
920C24—111no—
921C24—111no—
922C24—112no—
923C24—114no—
924C24—114no—
925C24—111no—
926C24—224no—
927C24—224no—
928C24—224no—
929C24—224no—
930C24—2232no—
931C24—224no—
932C24—224no—
933C24—222no—
934C24—222no—
935C24—222no—
936C24—222no—
937C24—224no—
938C24—224no—
939C24—224no—
940C24—224no—
941C24—442no—
942C24—442no—
943C24—442no—
944C24—442no—
945C24—442no—
946C24—442no—
947C24—442no—
948C24—442no—
949C24—4416no—
950C24—4416no—
951C24—4432no—
952C24—4432no—
953C24#433914yes—
954C24C23×D1111yescharacteristic
955C24C23×D1111yescharacteristic
956C24C23×D1112yes—
957C2×Q8—222no—
958C2×Q8—442no—
959C2×D4—22no—
960C2×D4—24no—
961C2×D4—22no—
962C2×D4—24no—
963C2×D4—22no—
964C2×D4—24no—
965C2×D4—222no—
966C2×D4—222no—
967C2×D4—224no—
968C2×D4—222no—
969C2×D4—222no—
970C2×D4—224no—
971C2×D4—222no—
972C2×D4—224no—
973C2×D4—222no—
974C2×D4—224no—
975C2×D4—222no—
976C2×D4—222no—
977C2×D4—224no—
978C2×D4—442no—
979C2×D4—442no—
980C2×D4—442no—
981C2×D4—442no—
982C2×D4—442no—
983C2×D4—442no—
984C2×D4—442no—
985C2×D4—442no—
986C2×D4—442no—
987C22×C4—22no—
988C22×C4—24no—
989C22×C4—24no—
990C22×C4—24no—
991C22×C4—24no—
992C22×C4—22no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—416no—
999C22×C4—111no—
1000C22×C4—111no—
1001C22×C4—114no—
1002C22×C4—111no—
1003C22×C4—112no—
1004C22×C4—112no—
1005C22×C4—112no—
1006C22×C4—111no—
1007C22×C4—111no—
1008C22×C4—224no—
1009C22×C4—224no—
1010C22×C4—222no—
1011C22×C4—224no—
1012C22×C4—224no—
1013C22×C4—222no—
1014C22×C4—442no—
1015C22×C4—442no—
1016C22×C4—442no—
1017C22×C4—442no—
1018C22×C4—442no—
1019C22×C4—4416no—
1020C22×C4D4×D1114yes—
1021C22×C4C23×D1111yescharacteristic
1022C22×C4C23×D1112yes—
1023C22×C4C23×D1112yes—
1024C22×C4C23×D1112yes—
1025C22×C4C23×D1111yescharacteristic
1026C22×C4C23×D1111yescharacteristic
1027C22×C4C23×D1111yescharacteristic
1028C22×C4C23×D1111yescharacteristic
1029C4⋊C4—22no—
1030C4⋊C4—42no—
1031C4⋊C4—222no—
1032C4⋊C4—222no—
1033C4⋊C4—222no—
1034C4⋊C4—222no—
1035C4⋊C4—222no—
1036C4⋊C4—442no—
1037C4⋊C4—442no—
1038C4⋊C4—442no—
1039C4⋊C4—442no—
1040C4⋊C4—442no—
1041C22⋊C4—22no—
1042C22⋊C4—24no—
1043C22⋊C4—22no—
1044C22⋊C4—24no—
1045C22⋊C4—22no—
1046C22⋊C4—24no—
1047C22⋊C4—22no—
1048C22⋊C4—42no—
1049C22⋊C4—114no—
1050C22⋊C4—114no—
1051C22⋊C4—114no—
1052C22⋊C4—114no—
1053C22⋊C4—224no—
1054C22⋊C4—224no—
1055C22⋊C4—222no—
1056C22⋊C4—224no—
1057C22⋊C4—224no—
1058C22⋊C4—222no—
1059C22⋊C4—222no—
1060C22⋊C4—222no—
1061C22⋊C4—222no—
1062C22⋊C4—224no—
1063C22⋊C4—224no—
1064C22⋊C4—222no—
1065C22⋊C4—222no—
1066C22⋊C4—224no—
1067C22⋊C4—222no—
1068C22⋊C4—224no—
1069C22⋊C4—222no—
1070C22⋊C4—224no—
1071C22⋊C4—224no—
1072C22⋊C4—224no—
1073C22⋊C4—222no—
1074C22⋊C4—442no—
1075C22⋊C4—442no—
1076C22⋊C4—442no—
1077C22⋊C4—442no—
1078C22⋊C4—442no—
1079C22⋊C4—442no—
1080C22⋊C4—442no—
1081C22⋊C4—442no—
1082C22⋊C4—442no—
1083C22⋊C4—442no—
1084C22⋊C4—442no—
1085C42—22no—
1086C42—42no—
1087C42—222no—
1088C42—442no—
1089C11#3498811yescharacteristic, complemented, Sylow
1090C23—28no—
1091C23—28no—
1092C23—216no—
1093C23—28no—
1094C23—216no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—22no—
1099C23—22no—
1100C23—22no—
1101C23—21no—
1102C23—21no—
1103C23—22no—
1104C23—21no—
1105C23—22no—
1106C23—112no—
1107C23—112no—
1108C23—114no—
1109C23—2216no—
1110C23—2216no—
1111C23—228no—
1112C23—228no—
1113C23—221no—
1114C23—221no—
1115C23—222no—
1116C23—222no—
1117C23—222no—
1118C23—222no—
1119C23—222no—
1120C23—222no—
1121C23—221no—
1122C23—221no—
1123C23—222no—
1124C23—222no—
1125C23—222no—
1126C23—222no—
1127C23—221no—
1128C23—221no—
1129C23—222no—
1130C23—221no—
1131C23—222no—
1132C23—444no—
1133C23—444no—
1134C23—448no—
1135C23—448no—
1136C23—448no—
1137C23—448no—
1138C23—448no—
1139C23—448no—
1140C23—448no—
1141C23—448no—
1142C23—448no—
1143C23—44128no—
1144C23—448no—
1145C23—448no—
1146C23—448no—
1147C23—448no—
1148C23—444no—
1149C23—444no—
1150C23—448no—
1151C23—448no—
1152C23—448no—
1153C23C2×#433912yes—
1154C23C2×#433914yes—
1155C23C2×D4×D1112yes—
1156C23#6703714yes—
1157C23#41×D1112yes—
1158C23#6704214yes—
1159C23C24×D1111yescharacteristic
1160Q8—882no—
1161D4—44no—
1162D4—48no—
1163D4—444no—
1164D4—448no—
1165D4—882no—
1166D4—882no—
1167D4—884no—
1168D4—882no—
1169D4—882no—
1170D4—882no—
1171D4—884no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—21no—
1175C2×C4—22no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—22no—
1180C2×C4—22no—
1181C2×C4—22no—
1182C2×C4—22no—
1183C2×C4—22no—
1184C2×C4—22no—
1185C2×C4—22no—
1186C2×C4—21no—
1187C2×C4—22no—
1188C2×C4—22no—
1189C2×C4—22no—
1190C2×C4—44no—
1191C2×C4—48no—
1192C2×C4—48no—
1193C2×C4—44no—
1194C2×C4—82no—
1195C2×C4—112no—
1196C2×C4—112no—
1197C2×C4—222no—
1198C2×C4—222no—
1199C2×C4—221no—
1200C2×C4—222no—
1201C2×C4—221no—
1202C2×C4—221no—
1203C2×C4—222no—
1204C2×C4—221no—
1205C2×C4—222no—
1206C2×C4—222no—
1207C2×C4—222no—
1208C2×C4—221no—
1209C2×C4—222no—
1210C2×C4—222no—
1211C2×C4—222no—
1212C2×C4—222no—
1213C2×C4—222no—
1214C2×C4—222no—
1215C2×C4—444no—
1216C2×C4—448no—
1217C2×C4—448no—
1218C2×C4—444no—
1219C2×C4—882no—
1220C2×C4C2×D4×D1112yes—
1221C2×C4C2×D4×D1112yes—
1222C22—232no—
1223C22—24no—
1224C22—24no—
1225C22—24no—
1226C22—22no—
1227C22—24no—
1228C22—22no—
1229C22—24no—
1230C22—24no—
1231C22—24no—
1232C22—24no—
1233C22—41no—
1234C22—42no—
1235C22—41no—
1236C22—41no—
1237C22—42no—
1238C22—222no—
1239C22—222no—
1240C22—224no—
1241C22—222no—
1242C22—222no—
1243C22—222no—
1244C22—222no—
1245C22—224no—
1246C22—224no—
1247C22—4416no—
1248C22—4416no—
1249C22—4432no—
1250C22—4432no—
1251C22—442no—
1252C22—442no—
1253C22—442no—
1254C22—442no—
1255C22—442no—
1256C22—442no—
1257C22—442no—
1258C22—442no—
1259C22—441no—
1260C22—442no—
1261C22—441no—
1262C22—441no—
1263C22—442no—
1264C22#1062307814yes—
1265C22#1062309118yescomplemented
1266C22C22×#433911yescharacteristic
1267C22C22×D4×D1111yescharacteristic
1268C22C2×#6703712yes—
1269C22C2×#41×D1111yescharacteristic
1270C22C2×#6704212yes—
1271C4—22no—
1272C4—22no—
1273C4—41no—
1274C4—42no—
1275C4—42no—
1276C4—41no—
1277C4—41no—
1278C4—42no—
1279C4—222no—
1280C4—222no—
1281C4—441no—
1282C4—442no—
1283C4—441no—
1284C4—442no—
1285C4—441no—
1286C4—442no—
1287C2—24no—
1288C2—28no—
1289C2—81no—
1290C2—442no—
1291C2—442no—
1292C2—444no—
1293C2—881no—
1294C2C2×#1062307811yescharacteristic
1295C2C2×#1062309112yes—
1296C2#1308224511yescharacteristic
1297C2#1308224911yescharacteristic
1298C2#1308229912yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC4×C11×#120C2
hypercenterC4×#120D11
hypocenterC11#34988
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. C23×(C2×D11)⋊C4C2semidirect
3. #13076901C2semidirect
4. #13076896C2semidirect
5. #13076894C2semidirect
6. #13076892C2semidirect
7. #13074427C2semidirect
8. #13074394C2semidirect
9. #13074393C2semidirect
10. #13074356C2semidirect
11. #13072864C2semidirect
12. #13072862C2semidirect
13. #13072744C2semidirect
14. #13072742C2semidirect
15. #13072154C2semidirect
16. #13072146C2semidirect
17. #13072080C2semidirect
18. #13072072C2semidirect
19. #13071276C2semidirect
20. #13071270C2semidirect
21. #13071211C2semidirect
22. C4×#67006C2semidirect
23. C4×C11×#120C2semidirect
28. C2×C4×D4×C11C22semidirect
29. C2×C4×D4×C11C22semidirect
31. C2×#66992C22semidirect
32. C2×#66992C22semidirect
37. C2×#66983C22semidirect
38. C2×#66982C22semidirect
39. C2×C4×C22⋊D11C22semidirect
40. C2×C4×C22⋊D11C22semidirect
51. C2×#66951C22semidirect
52. C2×#66947C22semidirect
53. C2×#66938C22semidirect
54. C2×#66937C22semidirect
59. C2×#66931C22semidirect
60. C2×#66931C22semidirect
61. C2×#66929C22semidirect
62. C2×#66928C22semidirect
63. C11×#386C22semidirect
64. C11×#386C22semidirect
65. C11×#385C22semidirect
66. C11×#385C22semidirect
68. C4×C11×C22⋊C4C22semidirect
69. C4×C11×C22⋊C4C22semidirect
71. #10622833C22semidirect
72. #10622833C22semidirect
73. #10622826C22semidirect
74. #10622826C22semidirect
75. #10622826C22semidirect
76. #10622823C22semidirect
77. #10622823C22semidirect
78. C4×C22⋊Dic11C22semidirect
79. C4×C22⋊Dic11C22semidirect
80. #10622607C22semidirect
81. #10622606C22semidirect
82. #10622605C22semidirect
83. #10622604C22semidirect
84. #10622603C22semidirect
85. #10622574C22semidirect
86. #10622573C22semidirect
87. #10622572C22semidirect
88. #10622572C22semidirect
89. #10622571C22semidirect
90. #10622571C22semidirect
91. #10622570C22semidirect
100. #10622563C22semidirect
101. #10622563C22semidirect
102. #10622559C22semidirect
103. #10622559C22semidirect
104. #10622555C22semidirect
105. #10622555C22semidirect
106. #10622555C22semidirect
107. #10622555C22semidirect
108. #10622553C22semidirect
109. #10622553C22semidirect
110. #10622553C22semidirect
111. #10622553C22semidirect
112. #10622552C22semidirect
113. #10622289C22semidirect
114. #10622288C22semidirect
115. #10622288C22semidirect
116. #10622288C22semidirect
117. #10622287C22semidirect
118. #10622286C22semidirect
119. #10622285C22semidirect
120. #10622285C22semidirect
121. #10622283C22semidirect
122. #10622282C22semidirect
123. #10622282C22semidirect
124. #10622278C22semidirect
143. C23×C4×C11C23semidirect
149. C22×C22⋊D11C23semidirect
159. C22×C4×D11C23semidirect
160. C22×Dic22C23semidirect
164. C2×C11×C4⋊C4C23semidirect
165. C2×C11×C4⋊C4C23semidirect
172. C2×C11×C22⋊C4C23semidirect
173. C2×C11×C22⋊C4C23semidirect
174. C2×C42×C11C23semidirect
175. C2×C42×C11C23semidirect
183. C2×C22⋊Dic11C23semidirect
184. C2×C22⋊Dic11C23semidirect
202. C2×(C2×D11)⋊C4D4semidirect
227. C2×(C2×D11)⋊C4C23semidirect
228. C2×(C2×D11)⋊C4C23semidirect
229. C2×(C2×D11)⋊C4C23semidirect
230. C2×(C2×D11)⋊C4C23semidirect
231. C2×C4⋊Dic11C23semidirect
232. C2×C4⋊Dic11C23semidirect
233. C2×Dic11⋊C4C23semidirect
234. C2×Dic11⋊C4C23semidirect
235. C2×Dic11⋊C4C23semidirect
236. C2×Dic11⋊C4C23semidirect
237. C2×Dic11⋊C4C23semidirect
238. C2×Dic11⋊C4C23semidirect
239. C2×Dic11⋊C4C23semidirect
240. C2×Dic11⋊C4C23semidirect
241. C2×C4×Dic11C23semidirect
242. C2×C4×Dic11C23semidirect
255. C11×#95C23semidirect
256. C11×#95C23semidirect
257. C11×#95C23semidirect
258. C11⋊#95C23semidirect
259. C11⋊#95C23semidirect
260. C11⋊#95C23semidirect
261. C11⋊#95C23semidirect
262. C11⋊#95C23semidirect
263. C11⋊#95C23semidirect
264. C11⋊#95C23semidirect
265. C11⋊#95C23semidirect
266. C11⋊#95C23semidirect
463. C4×#120D11semidirect
624. C2×C4×D4C2×D11semidirect
625. C2×C4×D4C2×D11semidirect
669. #386C2×D11semidirect
670. #386C2×D11semidirect
677. #385C2×D11semidirect
678. #385C2×D11semidirect
695. C4×C22⋊C4C2×D11semidirect
696. C4×C22⋊C4C2×D11semidirect
714. C22×C11#538semidirect
797. C23×C4C22×D11semidirect
834. C2×C4⋊C4C22×D11semidirect
835. C2×C4⋊C4C22×D11semidirect
886. C2×C22⋊C4C22×D11semidirect
887. C2×C22⋊C4C22×D11semidirect
890. C2×C42C22×D11semidirect
891. C2×C42C22×D11semidirect
901. #95C22×D11semidirect
902. #95C22×D11semidirect
903. #95C22×D11semidirect
1089. C11#34988semidirect
1265. C22#10623091semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
C23×(C2×D11)⋊C42
#130769012
#130768962
#130768942
#130768922
#130744272
#130743942
#130743932
#130743562
#130728642
#130728622
#130727442
#130727422
#130721542
#130721462
#130720802
#130720722
#130712762
#130712702
#130712112
C4×#670062
C4×C11×#1202
#3498811