Finite Group Databasebeta

← #14771961

Subgroups — #14771961

Order 2816.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622724C211yesmaximal, characteristic
2C2×#10622474C211yesmaximal, characteristic, complemented
3C22×#66882C211yesmaximal, characteristic, complemented
4#13071547C211yesmaximal, characteristic
5#13071512C211yesmaximal, characteristic
6#13069387C211yesmaximal, characteristic, complemented
7#13069373C211yesmaximal, characteristic, complemented
8#13068818C211yesmaximal, characteristic, complemented
9#13068808C211yesmaximal, characteristic, complemented
10#13068805C211yesmaximal, characteristic, complemented
11#13068803C211yesmaximal, characteristic, complemented
12#13068781C211yesmaximal, characteristic, complemented
13#13068646C211yesmaximal, characteristic, complemented
14#13068516C211yesmaximal, characteristic, complemented
15C11×#1807C211yesmaximal, characteristic, complemented
16C23×C8×C11C2211yescharacteristic
17C2×C4×C22⋊D11C2211yescharacteristic
18C22×C4⋊Dic11C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C22×#4313C2211yescharacteristic
21C2×#66945C2211yescharacteristic
22C2×C4⋊C4×D11C2211yescharacteristic
23C2×(C22⋊D11)⋊C4—21no—
24C2×C11×#106C2211yescharacteristic
25C2×C11×#106C2211yescharacteristic
26C11×#380C2211yescharacteristic
27C11×#380C2211yescharacteristic
28C2×C22⋊(C11⋊C8)C2211yescharacteristic
29#10622724C418yescomplemented
30C2×(C2×D11)⋊C8C2211yescharacteristic
31C2×#66882—24no—
32C2×#66882C2211yescharacteristic
33C2×#66882C2211yescharacteristic
34C2×#66882C2211yescharacteristic
35C2×#66882C2211yescharacteristic
36C2×#66879C2211yescharacteristic
37C2×Dic11⋊C8C2211yescharacteristic
38#10622600C2211yescharacteristic
39#10622600C2211yescharacteristic
40#10622590C2211yescharacteristic
41#10622589C2211yescharacteristic
42C4⋊C4×Dic11C2211yescharacteristic
43C4⋊C4×Dic11C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48#10622571—21no—
49#10622559—21no—
50C22⋊C4×Dic11—21no—
51#10622474—24no—
52#10622283—21no—
53#10622281—21no—
54#10622268—21no—
55#10622260—21no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11D411yescharacteristic
64C23×Dic11—21no—
65C23×Dic11—21no—
66C22×C4×D11—21no—
67C22×C4×D11C2311yescharacteristic
68C22×C8×C11—22no—
69C22×C8×C11—22no—
70C22×C8×C11C2×C414yescomplemented
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C11×C22⋊C4—21no—
79C2×C22⋊Dic11D411yescharacteristic
80C4×C22⋊D11C2×C414yes—
81C4×C22⋊D11Q814yes—
82C2×(C2×D11)⋊C4—21no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4D411yescharacteristic
86C2×C4⋊Dic11—22no—
87C2×C4⋊Dic11—22no—
88C2×C4⋊Dic11—21no—
89C2×C4⋊Dic11—21no—
90C2×C4⋊Dic11—41no—
91C2×C4⋊Dic11—41no—
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4D411yescharacteristic
100C2×C4×Dic11—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C2×#4313—22no—
107C2×#4313—22no—
108C2×#4313C2×C414yescomplemented
109#66945—22no—
110#66945—41no—
111C4⋊C4×D11—22no—
112C4⋊C4×D11—41no—
113(C22⋊D11)⋊C4—44no—
114C11×#106—22no—
115C11×#106—22no—
116C11×#95—21no—
117C11×#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C22⋊(C11⋊C8)C2×C414yescomplemented
125(C2×D11)⋊C8C2×C414yescomplemented
126#66882—22no—
127#66882—22no—
128#66882—22no—
129#66882D414yescomplemented
130#66879C2×C414yescomplemented
131Dic11⋊C8C2×C414yescomplemented
132#66872—22no—
133#66872—41no—
134#66871—22no—
135#66871—41no—
136#22661—111nomaximal, Sylow
137C24×C11C2×D411yescharacteristic
138C23×D11C2×D411yescharacteristic
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11C22×C412yes—
148C22×C4×C11C2×D411yescharacteristic
149C22×C4×C11C2×Q812yes—
150C22×C4×C11C2411yescharacteristic
151C2×C22⋊D11—22no—
152C2×C22⋊D11—22no—
153C2×C22⋊D11C4⋊C414yes—
154C22×Dic11—21no—
155C22×Dic11—21no—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—42no—
159C22×Dic11—42no—
160C22×Dic11—42no—
161C22×Dic11—42no—
162C22×Dic11—81no—
163C22×Dic11—81no—
164C22×Dic11C2×D411yescharacteristic
165C22×Dic11C2×D411yescharacteristic
166C22×Dic11C2×D411yescharacteristic
167C2×C4×D11—21no—
168C2×C4×D11—21no—
169C2×C4×D11—21no—
170C2×C4×D11—21no—
171C2×C4×D11—42no—
172C2×C4×D11—42no—
173C2×C4×D11—81no—
174C2×C4×D11C22×C412yes—
175C2×C4×D11C2×Q812yes—
176C2×C8×C11—28no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11C22×C412yes—
180C2×C8×C11C22×C412yes—
181C2×C8×C11C2×D412yes—
182C2×C8×C11#4112yes—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—42no—
193C22⋊Dic11C4⋊C414yes—
194(C2×D11)⋊C4—42no—
195(C2×D11)⋊C4—42no—
196(C2×D11)⋊C4—81no—
197(C2×D11)⋊C4C4⋊C414yes—
198C4⋊Dic11—21no—
199C4⋊Dic11—21no—
200C4⋊Dic11—21no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—42no—
205C4⋊Dic11—42no—
206C4⋊Dic11C2×D412yes—
207C4⋊Dic11C2×D412yes—
208Dic11⋊C4—42no—
209Dic11⋊C4—42no—
210Dic11⋊C4—81no—
211Dic11⋊C4C4⋊C414yes—
212C4×Dic11—42no—
213C4×Dic11—42no—
214C4×Dic11—81no—
215C4×Dic11C22×C412yes—
216C4×Dic11C2×Q812yes—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8C22×C412yes—
222C2×C11⋊C8C22×C412yes—
223#4313—28no—
224C2×#435—111no—
225C2×#428—111no—
226C22×#107—111no—
227#2352—111no—
228D4×C4⋊C4—111no—
229#1949—111no—
230#1947—111no—
231#1854—111no—
232#1853—111no—
233#1852—111no—
234#1852—111no—
235#1847—111no—
236#1809—111no—
237#1807D1111yescharacteristic, complemented
238#1776—111no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11C2×C4⋊C412yes—
244C23×C11AGL(1,ℤ/8)12yes—
245C23×C11#13712yes—
246C23×C11C22×D411yescharacteristic
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—21no—
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11C2×C4⋊C412yes—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11C2×C4⋊C412yes—
273C2×C4×C11C23×C411yescharacteristic
274C2×C4×C11C22×D411yescharacteristic
275C2×C4×C11C22×Q811yescharacteristic
276C2×C4×C11C2×#4111yescharacteristic
277C2×C4×C11H(5,𝔽2)11yescharacteristic
278C2×C4×C112−1+411yescharacteristic
279C22⋊D11—28no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—22no—
287C2×Dic11—22no—
288C2×Dic11—41no—
289C2×Dic11—41no—
290C2×Dic11—41no—
291C2×Dic11—41no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—84no—
299C2×Dic11—84no—
300C2×Dic11C2×C4⋊C412yes—
301C2×Dic11C2×C4⋊C412yes—
302C2×Dic11C2×C4⋊C412yes—
303C4×D11—22no—
304C4×D11—22no—
305C4×D11—22no—
306C4×D11—22no—
307C4×D11—84no—
308C8×C11—22no—
309C8×C11C4×D414yescomplemented
310C11⋊C8—22no—
311C11⋊C8—22no—
312C22×M16—111no—
313C23×C8C2×D1111yescharacteristic
314C2×C4×D4—111no—
315C2×C4×D4—221no—
316C2×#117—111no—
317C22×C4⋊C4—111no—
318C22×C4⋊C4—111no—
319C22×C4⋊C4—111no—
320#435—118no—
321#428—224no—
322C2×#107—111no—
323C2×#107—111no—
324C2×#107—111no—
325C2×#107—111no—
326C2×#107—111no—
327C2×#107—111no—
328C2×#107—224no—
329C2×#106—111no—
330C2×#106—111no—
331C2×#106C2×D1111yescharacteristic
332C2×#106C2×D1111yescharacteristic
333C2×C4⋊C8—111no—
334C2×C22⋊C8—111no—
335C2×C22⋊C8—111no—
336C2×#97—111no—
337#389—221no—
338#388—221no—
339#387—221no—
340#386—221no—
341#385—221no—
342#385—221no—
343#384—111no—
344#382—111no—
345#380—111no—
346#380—111no—
347#380C2×D1111yescharacteristic
348#380C2×D1111yescharacteristic
349C4×C4⋊C4—111no—
350C4×C4⋊C4—111no—
351C4×C22⋊C4—221no—
352#340—111no—
353#340—111no—
354#340—111no—
355#340—111no—
356#340C2×D1111yescharacteristic
357#340C2×D1111yescharacteristic
358C22×C11—22no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—22no—
362C22×C11—22no—
363C22×C11—22no—
364C22×C11#42814yescomplemented
365C22×C11C22×C4⋊C411yescharacteristic
366C22×C11D4211yescharacteristic
367C22×C11#54711yescharacteristic
368C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
369C22×C11C2×#13711yescharacteristic
370C22×C11#57611yescharacteristic
371C22×C11#57811yescharacteristic
372C2×D11—22no—
373C2×D11—22no—
374C2×D11—22no—
375C2×D11—41no—
376C2×D11—41no—
377C2×D11—41no—
378C2×D11—41no—
379C4×C11—22no—
380C4×C11—81no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11—81no—
384C4×C11C2×C4×D411yescharacteristic
385C4×C11#52011yescharacteristic
386C4×C11D4×Q811yescharacteristic
387C4×C11#55411yescharacteristic
388Dic11—22no—
389Dic11—22no—
390Dic11—22no—
391Dic11—42no—
392Dic11—42no—
393Dic11—81no—
394Dic11—81no—
395C22×D4—111no—
396C23×C4—111no—
397C23×C4—221no—
398C23×C4—221no—
399C23×C4—221no—
400C23×C4C22×D1111yescharacteristic
401C2×M16—114no—
402C2×M16—222no—
403C2×M16—222no—
404C22×C8—22no—
405C22×C8—22no—
406C22×C8—111no—
407C22×C8—111no—
408C22×C8C4×D1114yescomplemented
409C22×C8C22×D1111yescharacteristic
410C22×C8C22×D1111yescharacteristic
411C4×D4—114no—
412C4×D4—114no—
413C4×D4—444no—
414#117—222no—
415#117—441no—
416C2×C4⋊C4—111no—
417C2×C4⋊C4—111no—
418C2×C4⋊C4—111no—
419C2×C4⋊C4—111no—
420C2×C4⋊C4—111no—
421C2×C4⋊C4—222no—
422C2×C4⋊C4—222no—
423C2×C4⋊C4—222no—
424C2×C4⋊C4—221no—
425C2×C4⋊C4—221no—
426C2×C4⋊C4—221no—
427C2×C4⋊C4—221no—
428C2×C4⋊C4—221no—
429C2×C4⋊C4—441no—
430C2×C4⋊C4—441no—
431C2×C4⋊C4—441no—
432C2×C4⋊C4C22×D1111yescharacteristic
433C2×C4⋊C4C22×D1111yescharacteristic
434C2×C4⋊C4C22×D1111yescharacteristic
435C2×C4⋊C4C22×D1111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—111no—
439C2×C22⋊C4—111no—
440C2×C22⋊C4—221no—
441C2×C22⋊C4—221no—
442C2×C22⋊C4—221no—
443C2×C42—111no—
444C2×C42—221no—
445C2×C42—221no—
446C2×C42—221no—
447#107—114no—
448#107—222no—
449#107—222no—
450#107—222no—
451#107—222no—
452#107—441no—
453#106—22no—
454#106—22no—
455#106—222no—
456#106—441no—
457C4⋊C8—114no—
458C22⋊C8—114no—
459C22⋊C8—114no—
460#97—114no—
461#95—21no—
462#95—21no—
463#95—221no—
464#95—221no—
465#95—221no—
466#95—221no—
467#95—221no—
468#95—221no—
469C2×C11—24no—
470C2×C11D4×C4⋊C411yescharacteristic
471C2×C11C2×#42811yescharacteristic
472C2×C11#291311yescharacteristic
473C2×C11#326411yescharacteristic
474C2×C11#327011yescharacteristic
475C2×C11#334311yescharacteristic
476C2×C11#334611yescharacteristic
477D11—42no—
478C24—111no—
479C24D4×D1111yescharacteristic
480C2×D4—114no—
481C2×D4—222no—
482C2×D4—222no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—111no—
492C22×C4—111no—
493C22×C4—111no—
494C22×C4—112no—
495C22×C4—112no—
496C22×C4—221no—
497C22×C4—221no—
498C22×C4—221no—
499C22×C4—221no—
500C22×C4—221no—
501C22×C4—221no—
502C22×C4—221no—
503C22×C4—221no—
504C22×C4—442no—
505C22×C4—442no—
506C22×C4—442no—
507C22×C4—442no—
508C22×C4—442no—
509C22×C4—442no—
510C22×C4—881no—
511C22×C4—881no—
512C22×C4—881no—
513C22×C4C2×C4×D1112yes—
514C22×C4D4×D1111yescharacteristic
515C22×C4Q8×D1112yes—
516C22×C4C23×D1111yescharacteristic
517M16—228no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—28no—
521C2×C8—112no—
522C2×C8—112no—
523C2×C8—221no—
524C2×C8—221no—
525C2×C8—221no—
526C2×C8—221no—
527C2×C8C2×C4×D1112yes—
528C2×C8C2×C4×D1112yes—
529C2×C8D4×D1112yes—
530C2×C8#434112yes—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—114no—
540C4⋊C4—112no—
541C4⋊C4—112no—
542C4⋊C4—221no—
543C4⋊C4—221no—
544C4⋊C4—221no—
545C4⋊C4—221no—
546C4⋊C4—221no—
547C4⋊C4—221no—
548C4⋊C4—442no—
549C4⋊C4—442no—
550C4⋊C4—442no—
551C4⋊C4—442no—
552C4⋊C4—881no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—114no—
556C22⋊C4—114no—
557C22⋊C4—442no—
558C22⋊C4—442no—
559C22⋊C4—881no—
560C42—112no—
561C42—112no—
562C42—442no—
563C42—442no—
564C42—881no—
565C11#2266111yescharacteristic, complemented, Sylow
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—112no—
571C23—221no—
572C23—221no—
573C23—221no—
574C23—221no—
575C23—221no—
576C23—221no—
577C23C4⋊C4×D1112yes—
578C23#6696712yes—
579C23#6696812yes—
580C23C2×D4×D1111yescharacteristic
581D4—228no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—112no—
601C2×C4—112no—
602C2×C4—112no—
603C2×C4—221no—
604C2×C4—221no—
605C2×C4—221no—
606C2×C4—221no—
607C2×C4—221no—
608C2×C4—221no—
609C2×C4—222no—
610C2×C4—222no—
611C2×C4—222no—
612C2×C4—222no—
613C2×C4—222no—
614C2×C4—222no—
615C2×C4—441no—
616C2×C4—441no—
617C2×C4—441no—
618C2×C4—441no—
619C2×C4—441no—
620C2×C4—441no—
621C2×C4—441no—
622C2×C4—441no—
623C2×C4—441no—
624C2×C4—441no—
625C2×C4—884no—
626C2×C4—884no—
627C2×C4—884no—
628C2×C4C4⋊C4×D1112yes—
629C2×C4C22×C4×D1111yescharacteristic
630C2×C4C2×D4×D1111yescharacteristic
631C2×C4C2×#434111yescharacteristic
632C2×C4C2×Q8×D1111yescharacteristic
633C2×C4#6704211yescharacteristic
634C2×C4#6704311yescharacteristic
635C8—22no—
636C8—222no—
637C8—222no—
638C8(C22⋊D11)⋊C414yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—222no—
646C22—222no—
647C22—222no—
648C22—441no—
649C22—441no—
650C22—441no—
651C22—441no—
652C22#1062247414yescomplemented
653C22C2×C4⋊C4×D1111yescharacteristic
654C22#1062314011yescharacteristic
655C22#1062314211yescharacteristic
656C22C2×#6696711yescharacteristic
657C22C2×#6696811yescharacteristic
658C22#1062330011yescharacteristic
659C22#1062330211yescharacteristic
660C4—22no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—222no—
666C4—222no—
667C4—222no—
668C4—442no—
669C4—442no—
670C4—881no—
671C4—881no—
672C4C2×(C22⋊D11)⋊C411yescharacteristic
673C4#1062305411yescharacteristic
674C4#1062316311yescharacteristic
675C4#1062316611yescharacteristic
676C2—24no—
677C2—442no—
678C2#1307151211yescharacteristic
679C2C2×#1062247411yescharacteristic
680C2#1307721311yescharacteristic
681C2#1308009311yescharacteristic
682C2#1308018311yescharacteristic
683C2#1308106211yescharacteristic
684C2#1308110711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1807C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
cosocleC22×C4×C11C24
hypercenter#1807D11
hypocenterC11#22661
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1807

Complements

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

NH ≅ G/Ntype
2. C2×#10622474C2semidirect
3. C22×#66882C2semidirect
6. #13069387C2semidirect
7. #13069373C2semidirect
8. #13068818C2semidirect
9. #13068808C2semidirect
10. #13068805C2semidirect
11. #13068803C2semidirect
12. #13068781C2semidirect
13. #13068646C2semidirect
14. #13068516C2semidirect
15. C11×#1807C2semidirect
29. #10622724C4semidirect
70. C22×C8×C11C2×C4semidirect
108. C2×#4313C2×C4semidirect
124. C22⋊(C11⋊C8)C2×C4semidirect
125. (C2×D11)⋊C8C2×C4semidirect
129. #66882D4semidirect
130. #66879C2×C4semidirect
131. Dic11⋊C8C2×C4semidirect
237. #1807D11semidirect
309. C8×C11C4×D4semidirect
364. C22×C11#428semidirect
408. C22×C8C4×D11semidirect
565. C11#22661semidirect
638. C8(C22⋊D11)⋊C4semidirect
652. C22#10622474semidirect

Maximal subgroups

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

subgroupindex
C2×#106227242
C2×#106224742
C22×#668822
#130715472
#130715122
#130693872
#130693732
#130688182
#130688082
#130688052
#130688032
#130687812
#130686462
#130685162
C11×#18072
#2266111