Finite Group Databasebeta

← #14720185

Subgroups — #14720185

Order 2816.

1268 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077249C211yesmaximal, characteristic, complemented
2C2×#10622538C211yesmaximal, characteristic, complemented
3#13067050C214yesmaximal, complemented
4#13067045C212yesmaximal, complemented
5#13067041C212yesmaximal, complemented
6#13066998C214yesmaximal, complemented
7C2×C4×C11×#41C211yesmaximal, characteristic
8C22×C11×#41C411yescharacteristic
9C4×C11×#41—21no—
10C4×C11×#41—21no—
11C4×C11×#41—21no—
12C4×C11×#41—21no—
13C4×C11×#41C412yes—
14C4×C11×#41C412yes—
15C4×C11×#41C2212yes—
16C4×C11×#41C2212yes—
17C2×C4×Q8×C11C411yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11—21no—
20C2×C4×D4×C11—21no—
21C2×C4×D4×C11C411yescharacteristic
22C2×C4×D4×C11C2211yescharacteristic
23C2×C11×#117—21no—
24C2×C11×#117C411yescharacteristic
25C22×C42×C11—21no—
26C22×C42×C11C2211yescharacteristic
27#10622820—21no—
28C2×C22⋊(C11⋊C8)—21no—
29#10622539—21no—
30#10622539C2212yescomplemented
31#10622538—21no—
32#10622538—21no—
33#10622538—21no—
34#10622538C2212yes—
35#10622538C2212yescomplemented
36#10622538C2212yescomplemented
37#10622537C2212yes—
38C2×C4⋊(C11⋊C8)—21no—
39C4×#4318—21no—
40C2×C4×C11⋊C8C2212yescomplemented
41Q8⋊(C11⋊C8)C2218yescomplemented
42D4⋊(C11⋊C8)C2218yescomplemented
43C2×C11×#41—28no—
44C2×C11×#41—21no—
45C2×C11×#41—21no—
46C2×C11×#41C2×C412yes—
47C2×C11×#41C2×C412yes—
48C22×Q8×C11C2×C411yescharacteristic
49C22×D4×C11—21no—
50C22×D4×C11C2×C411yescharacteristic
51C23×C4×C11—21no—
52C23×C4×C11—21no—
53C23×C4×C11—21no—
54C23×C4×C11C2×C411yescharacteristic
55C23×C4×C11D411yescharacteristic
56C23×C4×C11D411yescharacteristic
57C4×Q8×C11—21no—
58C4×Q8×C11—21no—
59C4×Q8×C11—21no—
60C4×Q8×C11—21no—
61C4×Q8×C11C2×C412yes—
62C4×Q8×C11C2×C412yes—
63C4×Q8×C11C2×C412yes—
64C4×Q8×C11C2312yes—
65C4×D4×C11—22no—
66C4×D4×C11—22no—
67C4×D4×C11—22no—
68C4×D4×C11—22no—
69C4×D4×C11—22no—
70C4×D4×C11—22no—
71C4×D4×C11—22no—
72C4×D4×C11—22no—
73C4×D4×C11—21no—
74C4×D4×C11—21no—
75C4×D4×C11—21no—
76C4×D4×C11—21no—
77C4×D4×C11C2×C412yes—
78C4×D4×C11C2×C412yes—
79C4×D4×C11C2×C412yes—
80C4×D4×C11C2312yes—
81C11×#117—21no—
82C11×#117—21no—
83C11×#117—22no—
84C11×#117—22no—
85C11×#117—22no—
86C11×#117—22no—
87C11×#117C2×C412yes—
88C11×#117C2×C412yes—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4C2×C411yescharacteristic
92C2×C11×C4⋊C4C2×C411yescharacteristic
93C2×C11×C22⋊C4—21no—
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C42×C11—21no—
97C2×C42×C11—21no—
98C2×C42×C11—21no—
99C2×C42×C11—22no—
100C2×C42×C11—22no—
101C2×C42×C11—22no—
102C2×C42×C11—22no—
103C2×C42×C11C2×C411yescharacteristic
104C2×C42×C11C2×C411yescharacteristic
105C2×C42×C11C2×C411yescharacteristic
106C2×C42×C11D411yescharacteristic
107C2×C42×C11D411yescharacteristic
108C2×C42×C11D411yescharacteristic
109C2×C42×C11D411yescharacteristic
110C2×C42×C11D411yescharacteristic
111C2×C42×C11D411yescharacteristic
112C2×C42×C11C2311yescharacteristic
113C2×C42×C11C2311yescharacteristic
114C2×C42×C11C2311yescharacteristic
115C2×#4318—22no—
116C22×C11⋊C8—22no—
117C22⋊(C11⋊C8)—22no—
118C22⋊(C11⋊C8)—22no—
119C22⋊(C11⋊C8)—22no—
120C22⋊(C11⋊C8)—22no—
121C4⋊(C11⋊C8)—22no—
122C4⋊(C11⋊C8)—22no—
123C4⋊(C11⋊C8)—22no—
124C4⋊(C11⋊C8)C2314yes—
125#66867—22no—
126C4×C11⋊C8—22no—
127C4×C11⋊C8—22no—
128C4×C11⋊C8C2314yes—
129#17443—111nomaximal, Sylow
130C24×C11—21no—
131C24×C11C22⋊C411yescharacteristic
132C11×#41—28no—
133C11×#41—28no—
134C11×#41—24no—
135C11×#41—24no—
136C11×#41—24no—
137C11×#41M1618yescomplemented
138C2×Q8×C11—24no—
139C2×Q8×C11—21no—
140C2×Q8×C11C22×C412yes—
141C2×D4×C11—28no—
142C2×D4×C11—22no—
143C2×D4×C11—22no—
144C2×D4×C11—24no—
145C2×D4×C11—21no—
146C2×D4×C11C22×C412yes—
147C22×C4×C11—28no—
148C22×C4×C11—21no—
149C22×C4×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—24no—
152C22×C4×C11—24no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—42no—
160C22×C4×C11—44no—
161C22×C4×C11—44no—
162C22×C4×C11C22⋊C411yescharacteristic
163C22×C4×C11C22⋊C411yescharacteristic
164C22×C4×C11C22⋊C411yescharacteristic
165C22×C4×C11C22⋊C411yescharacteristic
166C22×C4×C11C22⋊C411yescharacteristic
167C22×C4×C11C22⋊C411yescharacteristic
168C22×C4×C11C22⋊C411yescharacteristic
169C22×C4×C11C22⋊C411yescharacteristic
170C22×C4×C11C22⋊C411yescharacteristic
171C22×C4×C11C22×C411yescharacteristic
172C22×C4×C11C22×C411yescharacteristic
173C22×C4×C11C22×C411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C11×C4⋊C4—22no—
181C11×C4⋊C4—22no—
182C11×C4⋊C4—22no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—22no—
186C11×C4⋊C4C22×C412yes—
187C11×C4⋊C4C22×C412yes—
188C11×C22⋊C4—22no—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—22no—
194C42×C11—22no—
195C42×C11—22no—
196C42×C11—22no—
197C42×C11—22no—
198C42×C11—22no—
199C42×C11—22no—
200C42×C11C22⋊C411yescharacteristic
201C42×C11C22⋊C411yescharacteristic
202C42×C11C22⋊C411yescharacteristic
203C42×C11C22⋊C411yescharacteristic
204C42×C11C22⋊C411yescharacteristic
205C42×C11C22⋊C411yescharacteristic
206C42×C11C22×C411yescharacteristic
207C42×C11C22×C411yescharacteristic
208C42×C11C22×C411yescharacteristic
209C42×C11C2×D411yescharacteristic
210C42×C11C2×D411yescharacteristic
211C42×C11C2×D411yescharacteristic
212C42×C11C2×D411yescharacteristic
213C42×C11C2×D411yescharacteristic
214C42×C11C2×D411yescharacteristic
215C42×C11C2411yescharacteristic
216#4318—44no—
217C2×C11⋊C8—24no—
218C2×C11⋊C8—24no—
219C2×C11⋊C8—44no—
220C2×C4×#41D1111yescharacteristic
221#2920—111no—
222C2×#431—111no—
223#1488—114no—
224#1487—112no—
225#1486—112no—
226#1476—114no—
227C23×C11—24no—
228C23×C11—22no—
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—41no—
232C23×C11—42no—
233C23×C11—42no—
234C23×C11C2×C22⋊C411yescharacteristic
235C23×C11C2×C22⋊C411yescharacteristic
236C23×C11C2×C22⋊C411yescharacteristic
237Q8×C11—24no—
238Q8×C11—22no—
239Q8×C11C2×M1614yes—
240D4×C11—28no—
241D4×C11—24no—
242D4×C11—28no—
243D4×C11—22no—
244D4×C11C2×M1614yes—
245C2×C4×C11—24no—
246C2×C4×C11—28no—
247C2×C4×C11—22no—
248C2×C4×C11—22no—
249C2×C4×C11—22no—
250C2×C4×C11—22no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—28no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—44no—
268C2×C4×C11—42no—
269C2×C4×C11—42no—
270C2×C4×C11—44no—
271C2×C4×C11—44no—
272C2×C4×C11—44no—
273C2×C4×C11C2×C22⋊C411yescharacteristic
274C2×C4×C11C2×C22⋊C411yescharacteristic
275C2×C4×C11C2×C22⋊C411yescharacteristic
276C2×C4×C11C2×C22⋊C411yescharacteristic
277C2×C4×C11C2×C22⋊C411yescharacteristic
278C2×C4×C11C2×C22⋊C411yescharacteristic
279C2×C4×C11C2×C22⋊C411yescharacteristic
280C2×C4×C11C2×C22⋊C411yescharacteristic
281C2×C4×C11C2×C22⋊C411yescharacteristic
282C2×C4×C11C2×M1614yes—
283C2×C4×C11#13514yes—
284C2×C4×C11C23×C411yescharacteristic
285C2×C4×C11C22×D411yescharacteristic
286C2×C4×C11C22×D411yescharacteristic
287C11⋊C8—44no—
288C11⋊C8—44no—
289C22×#41Dic1111yescharacteristic
290C4×#41—21no—
291C4×#41—21no—
292C4×#41—21no—
293C4×#41—21no—
294C4×#41Dic1112yes—
295C4×#41Dic1112yes—
296C4×#41C2×D1112yes—
297C4×#41C2×D1112yes—
298C2×C4×Q8Dic1111yescharacteristic
299C2×C4×Q8C2×D1111yescharacteristic
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4Dic1111yescharacteristic
303C2×C4×D4C2×D1111yescharacteristic
304C2×#117—21no—
305C2×#117Dic1111yescharacteristic
306C22×C42—21no—
307C22×C42C2×D1111yescharacteristic
308#432—112no—
309#432—221no—
310#431—112no—
311#431—112no—
312#431—112no—
313#431—221no—
314#431—221no—
315#431—221no—
316#423—112no—
317C2×C4⋊C8—221no—
318#407—221no—
319C2×C22⋊C8—221no—
320C4×M16—221no—
321C2×C4×C8—112no—
322Q8⋊C8—118no—
323D4⋊C8—118no—
324C22×C11—21no—
325C22×C11—21no—
326C22×C11—21no—
327C22×C11—21no—
328C22×C11—21no—
329C22×C11—24no—
330C22×C11—21no—
331C22×C11—21no—
332C22×C11—44no—
333C22×C11—48no—
334C22×C11—42no—
335C22×C11—42no—
336C22×C11#40712yes—
337C22×C11#41612yes—
338C22×C11C22×C22⋊C411yescharacteristic
339C4×C11—21no—
340C4×C11—24no—
341C4×C11—21no—
342C4×C11—21no—
343C4×C11—21no—
344C4×C11—21no—
345C4×C11—21no—
346C4×C11—21no—
347C4×C11—42no—
348C4×C11—42no—
349C4×C11#40712yes—
350C4×C11#41612yes—
351C4×C11#42112yes—
352C4×C11C22×M1612yes—
353C4×C11C2×#13512yes—
354C2×#41—28no—
355C2×#41—21no—
356C2×#41—21no—
357C2×#41C2×Dic1112yes—
358C2×#41C2×Dic1112yes—
359C22×Q8C2×Dic1111yescharacteristic
360C22×D4—21no—
361C22×D4C2×Dic1111yescharacteristic
362C23×C4—21no—
363C23×C4—21no—
364C23×C4—21no—
365C23×C4C2×Dic1111yescharacteristic
366C23×C4C22⋊D1111yescharacteristic
367C23×C4C22⋊D1111yescharacteristic
368C2×M16—222no—
369C22×C8—222no—
370C4×Q8—21no—
371C4×Q8—21no—
372C4×Q8—21no—
373C4×Q8—21no—
374C4×Q8C2×Dic1112yes—
375C4×Q8C2×Dic1112yes—
376C4×Q8C2×Dic1112yes—
377C4×Q8C22×D1112yes—
378C4×D4—22no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4—22no—
383C4×D4—22no—
384C4×D4—22no—
385C4×D4—22no—
386C4×D4—21no—
387C4×D4—21no—
388C4×D4—21no—
389C4×D4—21no—
390C4×D4C2×Dic1112yes—
391C4×D4C2×Dic1112yes—
392C4×D4C2×Dic1112yes—
393C4×D4C22×D1112yes—
394#117—21no—
395#117—21no—
396#117—22no—
397#117—22no—
398#117—22no—
399#117—22no—
400#117C2×Dic1112yes—
401#117C2×Dic1112yes—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4C2×Dic1111yescharacteristic
405C2×C4⋊C4C2×Dic1111yescharacteristic
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—21no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42—21no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42C2×Dic1111yescharacteristic
417C2×C42C2×Dic1111yescharacteristic
418C2×C42C2×Dic1111yescharacteristic
419C2×C42C22⋊D1111yescharacteristic
420C2×C42C22⋊D1111yescharacteristic
421C2×C42C22⋊D1111yescharacteristic
422C2×C42C22⋊D1111yescharacteristic
423C2×C42C22⋊D1111yescharacteristic
424C2×C42C22⋊D1111yescharacteristic
425C2×C42C22×D1111yescharacteristic
426C2×C42C22×D1111yescharacteristic
427C2×C42C22×D1111yescharacteristic
428C4⋊C8—114no—
429C4⋊C8—222no—
430C4⋊C8—222no—
431C4⋊C8—222no—
432C22⋊C8—222no—
433C22⋊C8—222no—
434C22⋊C8—222no—
435C22⋊C8—222no—
436#97—222no—
437C4×C8—114no—
438C4×C8—222no—
439C4×C8—222no—
440C2×C11—22no—
441C2×C11—22no—
442C2×C11—41no—
443C2×C11—44no—
444C2×C11C2×#40711yescharacteristic
445C2×C11C2×#41611yescharacteristic
446C2×C11C2×#42111yescharacteristic
447C24—21no—
448C24C22⋊Dic1111yescharacteristic
449#41—28no—
450#41—28no—
451#41—24no—
452#41—24no—
453#41—24no—
454#41#431818yescomplemented
455C2×Q8—24no—
456C2×Q8—21no—
457C2×Q8C22×Dic1112yes—
458C2×D4—28no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—24no—
462C2×D4—21no—
463C2×D4C22×Dic1112yes—
464C22×C4—28no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—42no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4C22⋊Dic1111yescharacteristic
480C22×C4C22⋊Dic1111yescharacteristic
481C22×C4C22⋊Dic1111yescharacteristic
482C22×C4C22⋊Dic1111yescharacteristic
483C22×C4C22⋊Dic1111yescharacteristic
484C22×C4C22⋊Dic1111yescharacteristic
485C22×C4C22⋊Dic1111yescharacteristic
486C22×C4C22⋊Dic1111yescharacteristic
487C22×C4C22⋊Dic1111yescharacteristic
488C22×C4C22×Dic1111yescharacteristic
489C22×C4C22×Dic1111yescharacteristic
490C22×C4C22×Dic1111yescharacteristic
491C22×C4C2×C22⋊D1111yescharacteristic
492C22×C4C2×C22⋊D1111yescharacteristic
493C22×C4C2×C22⋊D1111yescharacteristic
494C22×C4C2×C22⋊D1111yescharacteristic
495C22×C4C2×C22⋊D1111yescharacteristic
496C22×C4C2×C22⋊D1111yescharacteristic
497M16—444no—
498C2×C8—224no—
499C2×C8—224no—
500C2×C8—444no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—22no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—22no—
507C4⋊C4C22×Dic1112yes—
508C4⋊C4C22×Dic1112yes—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C42—22no—
516C42—22no—
517C42—22no—
518C42—22no—
519C42—22no—
520C42—22no—
521C42C22⋊Dic1111yescharacteristic
522C42C22⋊Dic1111yescharacteristic
523C42C22⋊Dic1111yescharacteristic
524C42C22⋊Dic1111yescharacteristic
525C42C22⋊Dic1111yescharacteristic
526C42C22⋊Dic1111yescharacteristic
527C42C22×Dic1111yescharacteristic
528C42C22×Dic1111yescharacteristic
529C42C22×Dic1111yescharacteristic
530C42C2×C22⋊D1111yescharacteristic
531C42C2×C22⋊D1111yescharacteristic
532C42C2×C22⋊D1111yescharacteristic
533C42C2×C22⋊D1111yescharacteristic
534C42C2×C22⋊D1111yescharacteristic
535C42C2×C22⋊D1111yescharacteristic
536C42C23×D1111yescharacteristic
537C11#1744311yescharacteristic, complemented, Sylow
538C23—24no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—41no—
543C23—42no—
544C23—42no—
545C23C2×C22⋊Dic1111yescharacteristic
546C23C2×C22⋊Dic1111yescharacteristic
547C23C2×C22⋊Dic1111yescharacteristic
548Q8—24no—
549Q8—22no—
550Q8C2×#431814yes—
551D4—28no—
552D4—24no—
553D4—28no—
554D4—22no—
555D4C2×#431814yes—
556C2×C4—24no—
557C2×C4—28no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—28no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—44no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—44no—
582C2×C4—44no—
583C2×C4—44no—
584C2×C4C2×#431814yes—
585C2×C4#6700314yes—
586C2×C4C2×C22⋊Dic1111yescharacteristic
587C2×C4C2×C22⋊Dic1111yescharacteristic
588C2×C4C2×C22⋊Dic1111yescharacteristic
589C2×C4C2×C22⋊Dic1111yescharacteristic
590C2×C4C2×C22⋊Dic1111yescharacteristic
591C2×C4C2×C22⋊Dic1111yescharacteristic
592C2×C4C2×C22⋊Dic1111yescharacteristic
593C2×C4C2×C22⋊Dic1111yescharacteristic
594C2×C4C2×C22⋊Dic1111yescharacteristic
595C2×C4C23×Dic1111yescharacteristic
596C2×C4C22×C22⋊D1111yescharacteristic
597C2×C4C22×C22⋊D1111yescharacteristic
598C8—444no—
599C8—444no—
600C22—21no—
601C22—21no—
602C22—21no—
603C22—21no—
604C22—21no—
605C22—24no—
606C22—21no—
607C22—21no—
608C22—44no—
609C22—48no—
610C22—42no—
611C22—42no—
612C22#1062282012yes—
613C22#1062284612yes—
614C22C22×C22⋊Dic1111yescharacteristic
615C4—21no—
616C4—24no—
617C4—21no—
618C4—21no—
619C4—21no—
620C4—21no—
621C4—21no—
622C4—21no—
623C4—42no—
624C4—42no—
625C4#1062282012yes—
626C4#1062284612yes—
627C4#1062284912yes—
628C4C22×#431812yes—
629C4C2×#6700312yes—
630C2—22no—
631C2—22no—
632C2—41no—
633C2—44no—
634C2C2×#1062282011yescharacteristic
635C2C2×#1062284611yescharacteristic
636C2C2×#1062284911yescharacteristic
subgroupG/H
centerC42C2×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC42C23×D11
FittingC2×C4×C11×#41C2
socleC22×C11C22×C22⋊C4
prime radicalC22×C11×#41C4
cosocleC42×C11C24
hypercenterC2×C4×#41D11
hypocenterC11#17443
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C42 ◁ C22×C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #13077249C2semidirect
2. C2×#10622538C2semidirect
3. #13067050C2semidirect
4. #13067045C2semidirect
5. #13067041C2semidirect
6. #13066998C2semidirect
30. #10622539C22semidirect
35. #10622538C22semidirect
36. #10622538C22semidirect
40. C2×C4×C11⋊C8C22semidirect
41. Q8⋊(C11⋊C8)C22semidirect
42. D4⋊(C11⋊C8)C22semidirect
137. C11×#41M16semidirect
454. #41#4318semidirect
537. C11#17443semidirect

Maximal subgroups

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

subgroupindex
#130772492
C2×#106225382
#130670502
#130670452
#130670412
#130669982
C2×C4×C11×#412
#1744311