Finite Group Databasebeta

← #14725307

Subgroups — #14725307

Order 2816.

720 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077630C211yesmaximal, characteristic, complemented
2D4×#4318C211yesmaximal, characteristic, complemented
3#13067519C211yesmaximal, characteristic, complemented
4#13067507C211yesmaximal, characteristic, complemented
5#13067481C211yesmaximal, characteristic, complemented
6#13067474C211yesmaximal, characteristic, complemented
7#13067453C211yesmaximal, characteristic, complemented
8#13067446C211yesmaximal, characteristic, complemented
9#13067440C211yesmaximal, characteristic, complemented
10D8×C11⋊C8C211yesmaximal, characteristic, complemented
11#13067383C211yesmaximal, characteristic, complemented
12#13067059C211yesmaximal, characteristic, complemented
13#13067055C211yesmaximal, characteristic, complemented
14#13066919C211yesmaximal, characteristic, complemented
15C4×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic
16C2×C11×AGL(1,ℤ/8)C411yescharacteristic
17C4×C11×#41C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C22×#4318—21no—
20C11×#442C411yescharacteristic
21C11×#442C411yescharacteristic
22C11×#440C411yescharacteristic
23C11×#440C411yescharacteristic
24C4×C11×SD16C2211yescharacteristic
25C4×C11×SD16C2211yescharacteristic
26C4×C11×D8C2211yescharacteristic
27C4×C11×D8C2211yescharacteristic
28C11×#428C411yescharacteristic
29C11×#418C411yescharacteristic
30C11×#417C411yescharacteristic
31C4×C11×M16C2211yescharacteristic
32#10622820—21no—
33#10622637C2211yescharacteristic, complemented
34#10622637C2211yescharacteristic, complemented
35#10622625C2211yescharacteristic
36#10622625C2211yescharacteristic
37#10622624—21no—
38#10622624—21no—
39#10622624—21no—
40#10622624—21no—
41D4×C11⋊C8C2211yescharacteristic
42D4×C11⋊C8C2211yescharacteristic
43D4×C11⋊C8C2211yescharacteristic, complemented
44D4×C11⋊C8C2211yescharacteristic, complemented
45#10622539—21no—
46#10622539C2211yescharacteristic
47#10622537C2211yescharacteristic
48C4×#4318C2211yescharacteristic
49C4×#4318C2211yescharacteristic
50C2×#66867—21no—
51Q8⋊(C11⋊C8)C2211yescharacteristic, complemented
52Q8⋊(C11⋊C8)C2211yescharacteristic, complemented
53D4⋊(C11⋊C8)C2211yescharacteristic
54D4⋊(C11⋊C8)C2211yescharacteristic
55D4⋊(C11⋊C8)C2211yescharacteristic
56D4⋊(C11⋊C8)C2211yescharacteristic
57D4⋊(C11⋊C8)C2211yescharacteristic, complemented
58D4⋊(C11⋊C8)C2211yescharacteristic, complemented
59#10622096C2211yescharacteristic, complemented
60#10622096C2211yescharacteristic, complemented
61#10622095C2211yescharacteristic, complemented
62#10622095C2211yescharacteristic, complemented
63#10622093C2211yescharacteristic, complemented
64#10622092C2211yescharacteristic, complemented
65#10622092C2211yescharacteristic, complemented
66C8×C11⋊C8C2211yescharacteristic, complemented
67C2×C11×#41C2×C411yescharacteristic
68C22×D4×C11C2×C411yescharacteristic
69C23×C4×C11—21no—
70C11×AGL(1,ℤ/8)—24no—
71C2×C11×SD16C2×C411yescharacteristic
72C2×C11×SD16C2×C411yescharacteristic
73C2×C11×D8C2×C411yescharacteristic
74C2×C11×D8C2×C411yescharacteristic
75C2×C11×M16C2×C411yescharacteristic
76C2×C11×M16C2×C411yescharacteristic
77C4×Q8×C11C2×C411yescharacteristic
78C4×Q8×C11C2311yescharacteristic
79C4×D4×C11—21no—
80C4×D4×C11—21no—
81C4×D4×C11—21no—
82C4×D4×C11—21no—
83C4×D4×C11C2×C411yescharacteristic
84C4×D4×C11C2×C411yescharacteristic
85C4×D4×C11C2×C411yescharacteristic
86C4×D4×C11C2311yescharacteristic
87C4×D4×C11C2311yescharacteristic
88C4×D4×C11C2311yescharacteristic
89C11×#117—21no—
90C11×#117C2×C411yescharacteristic
91C2×C11×C4⋊C4C2×C411yescharacteristic
92C2×C11×C22⋊C4—21no—
93C2×C42×C11—21no—
94C2×C42×C11C2311yescharacteristic
95C2×#4318—21no—
96C2×#4318—21no—
97C2×#4318—21no—
98C2×#4318—21no—
99C2×#4318—44no—
100C2×#4318D411yescharacteristic
101C2×#4318D411yescharacteristic
102C22×C11⋊C8—21no—
103C22×C11⋊C8—21no—
104C22×C11⋊C8—21no—
105C22×C11⋊C8—21no—
106C11×#107C2×C411yescharacteristic
107C11×#107C2×C411yescharacteristic
108C11×#106C2×C411yescharacteristic
109C11×#106C2×C411yescharacteristic
110C11×#103C2×C411yescharacteristic
111C11×#103C2×C411yescharacteristic
112C11×#102C2×C411yescharacteristic
113C11×#102C2×C411yescharacteristic
114C11×#102C2×C411yescharacteristic
115C11×#102C2×C411yescharacteristic
116C11×#102C2×C411yescharacteristic
117C11×#102C2×C411yescharacteristic
118C11×#97C2×C411yescharacteristic
119C11×#97C2×C411yescharacteristic
120C4×C8×C11C2311yescharacteristic
121C4×C8×C11C2311yescharacteristic
122C22⋊(C11⋊C8)—21no—
123C22⋊(C11⋊C8)—21no—
124C22⋊(C11⋊C8)—21no—
125C22⋊(C11⋊C8)—21no—
126C22⋊(C11⋊C8)—21no—
127C22⋊(C11⋊C8)—21no—
128C22⋊(C11⋊C8)—21no—
129C4⋊(C11⋊C8)—21no—
130C4⋊(C11⋊C8)—21no—
131C4⋊(C11⋊C8)—21no—
132C4⋊(C11⋊C8)C2311yescharacteristic
133C4⋊(C11⋊C8)C2311yescharacteristic
134C4⋊(C11⋊C8)C2311yescharacteristic
135C4⋊(C11⋊C8)C2311yescharacteristic
136#66867—21no—
137#66867—21no—
138#66867—21no—
139#66867—21no—
140#66867D411yescharacteristic
141#66867D411yescharacteristic
142C4×C11⋊C8C2311yescharacteristic
143C4×C11⋊C8C2311yescharacteristic
144C4×C11⋊C8C2311yescharacteristic
145C4×C11⋊C8C2311yescharacteristic
146#18046—111nomaximal, Sylow
147C24×C11—21no—
148C11×#41—22no—
149C11×#41—41no—
150C2×Q8×C11C22×C411yescharacteristic
151C2×D4×C11—22no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—41no—
155C2×D4×C11C22×C411yescharacteristic
156C2×D4×C11C22×C411yescharacteristic
157C2×D4×C11C22×C411yescharacteristic
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—42no—
167C22×C4×C11—42no—
168C22×C4×C11C22×C411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11#4111yescharacteristic
171C11×SD16—22no—
172C11×SD16—22no—
173C11×D8—22no—
174C11×D8M1614yescomplemented
175C11×M16—22no—
176C11×M16—41no—
177C2×C8×C11C22×C411yescharacteristic
178C2×C8×C11C22×C411yescharacteristic
179C2×C8×C11C22×C411yescharacteristic
180C2×C8×C11C22×C411yescharacteristic
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4C22×C411yescharacteristic
185C11×C4⋊C4C22×C411yescharacteristic
186C11×C4⋊C4C22×C411yescharacteristic
187C11×C4⋊C4C22×C411yescharacteristic
188C11×C22⋊C4—21no—
189C11×C22⋊C4—21no—
190C11×C22⋊C4—21no—
191C11×C22⋊C4—21no—
192C11×C22⋊C4—21no—
193C11×C22⋊C4—21no—
194C11×C22⋊C4—21no—
195C42×C11—21no—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11C22×C411yescharacteristic
199C42×C11C2×D411yescharacteristic
200C42×C11#4111yescharacteristic
201C42×C11C2411yescharacteristic
202#4318—22no—
203#4318—41no—
204#4318—42no—
205#4318—42no—
206#4318—42no—
207#4318—42no—
208C2×C11⋊C8—21no—
209C2×C11⋊C8—21no—
210C2×C11⋊C8—21no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—42no—
215C2×C11⋊C8—42no—
216C2×C11⋊C8—42no—
217C2×C11⋊C8—42no—
218C2×C11⋊C8C2×D411yescharacteristic
219C2×C11⋊C8C2×D411yescharacteristic
220C2×C11⋊C8C2×D411yescharacteristic
221C2×C11⋊C8C2×D411yescharacteristic
222#2970—111no—
223C4×AGL(1,ℤ/8)D1111yescharacteristic
224D4×M16—111no—
225#1592—111no—
226#1590—111no—
227#1586—111no—
228#1585—111no—
229#1582—111no—
230#1581—111no—
231#1580—111no—
232C8×D8—111no—
233#1569—111no—
234#1490—111no—
235#1489—111no—
236#1455—111no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—81no—
243C23×C11C4×D411yescharacteristic
244Q8×C11—21no—
245Q8×C11—21no—
246D4×C11—21no—
247D4×C11—21no—
248D4×C11—21no—
249D4×C11—21no—
250D4×C11—42no—
251D4×C11—42no—
252D4×C11C2×M1612yes—
253D4×C11C2×M1612yescomplemented
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—41no—
264C2×C4×C11—42no—
265C2×C4×C11—42no—
266C2×C4×C11—42no—
267C2×C4×C11—42no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—81no—
275C2×C4×C11C4×D411yescharacteristic
276C2×C4×C11C4×D411yescharacteristic
277C2×C4×C11C4×D411yescharacteristic
278C2×C4×C11C23×C411yescharacteristic
279C2×C4×C11C22×D411yescharacteristic
280C2×C4×C11C2×#4111yescharacteristic
281C8×C11—21no—
282C8×C11—21no—
283C8×C11—21no—
284C8×C11C2×M1612yescomplemented
285C11⋊C8—22no—
286C11⋊C8—21no—
287C11⋊C8—21no—
288C11⋊C8—21no—
289C11⋊C8—41no—
290C11⋊C8—41no—
291C11⋊C8—41no—
292C11⋊C8—41no—
293C11⋊C8—41no—
294C11⋊C8AGL(1,ℤ/8)12yescomplemented
295C2×AGL(1,ℤ/8)Dic1111yescharacteristic
296C22×M16—221no—
297C4×#41C2×D1111yescharacteristic
298C2×C4×D4C2×D1111yescharacteristic
299#446—111no—
300#446—111no—
301#442Dic1111yescharacteristic
302#442Dic1111yescharacteristic
303#440Dic1111yescharacteristic
304#440Dic1111yescharacteristic
305C4×SD16C2×D1111yescharacteristic
306C4×SD16C2×D1111yescharacteristic
307C4×D8C2×D1111yescharacteristic
308C4×D8C2×D1111yescharacteristic
309#436—111no—
310#436—111no—
311#435—221no—
312#435—221no—
313#435—221no—
314#435—221no—
315C8×D4—111no—
316C8×D4—111no—
317C8×D4—111no—
318C8×D4—111no—
319#432—111no—
320#432—221no—
321#428Dic1111yescharacteristic
322#423—111no—
323#418Dic1111yescharacteristic
324#417Dic1111yescharacteristic
325#407—221no—
326C4×M16—111no—
327C4×M16—111no—
328C4×M16C2×D1111yescharacteristic
329C2×#97—221no—
330#335—111no—
331#335—111no—
332#334—111no—
333#334—111no—
334Q8⋊C8—111no—
335Q8⋊C8—111no—
336D4⋊C8—111no—
337D4⋊C8—111no—
338D4⋊C8—111no—
339D4⋊C8—111no—
340D4⋊C8—111no—
341D4⋊C8—111no—
342#322—111no—
343#322—111no—
344#322—111no—
345C82—111no—
346C22×C11—21no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—21no—
350C22×C11—21no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—84no—
359C22×C11C2×C4×D411yescharacteristic
360C4×C11—21no—
361C4×C11—21no—
362C4×C11—21no—
363C4×C11—21no—
364C4×C11—41no—
365C4×C11—41no—
366C4×C11—41no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11C22×M1611yescharacteristic
370C4×C11#56811yescharacteristic
371C4×C11C2×AGL(1,ℤ/8)11yescharacteristic
372C4×C11#57511yescharacteristic
373C2×#41C2×Dic1111yescharacteristic
374C22×D4C2×Dic1111yescharacteristic
375C23×C4—21no—
376AGL(1,ℤ/8)—24no—
377C2×SD16C2×Dic1111yescharacteristic
378C2×SD16C2×Dic1111yescharacteristic
379C2×D8C2×Dic1111yescharacteristic
380C2×D8C2×Dic1111yescharacteristic
381C2×M16—111no—
382C2×M16—111no—
383C2×M16—221no—
384C2×M16—221no—
385C2×M16—221no—
386C2×M16—221no—
387C2×M16—444no—
388C2×M16C2×Dic1111yescharacteristic
389C2×M16C2×Dic1111yescharacteristic
390C22×C8—221no—
391C22×C8—221no—
392C22×C8—221no—
393C22×C8—221no—
394C4×Q8C2×Dic1111yescharacteristic
395C4×Q8C22×D1111yescharacteristic
396C4×D4—21no—
397C4×D4—21no—
398C4×D4—21no—
399C4×D4—21no—
400C4×D4C2×Dic1111yescharacteristic
401C4×D4C2×Dic1111yescharacteristic
402C4×D4C2×Dic1111yescharacteristic
403C4×D4C22×D1111yescharacteristic
404C4×D4C22×D1111yescharacteristic
405C4×D4C22×D1111yescharacteristic
406#117—21no—
407#117C2×Dic1111yescharacteristic
408C2×C4⋊C4C2×Dic1111yescharacteristic
409C2×C22⋊C4—21no—
410C2×C42—21no—
411C2×C42C22×D1111yescharacteristic
412#107C2×Dic1111yescharacteristic
413#107C2×Dic1111yescharacteristic
414#106C2×Dic1111yescharacteristic
415#106C2×Dic1111yescharacteristic
416C4⋊C8—111no—
417C4⋊C8—111no—
418C4⋊C8—111no—
419C4⋊C8—111no—
420C4⋊C8—221no—
421C4⋊C8—221no—
422C4⋊C8—221no—
423#103C2×Dic1111yescharacteristic
424#103C2×Dic1111yescharacteristic
425#102C2×Dic1111yescharacteristic
426#102C2×Dic1111yescharacteristic
427#102C2×Dic1111yescharacteristic
428#102C2×Dic1111yescharacteristic
429#102C2×Dic1111yescharacteristic
430#102C2×Dic1111yescharacteristic
431C22⋊C8—221no—
432C22⋊C8—221no—
433C22⋊C8—221no—
434C22⋊C8—221no—
435C22⋊C8—221no—
436C22⋊C8—221no—
437C22⋊C8—221no—
438#97—111no—
439#97—111no—
440#97—221no—
441#97—221no—
442#97—221no—
443#97—221no—
444#97C2×Dic1111yescharacteristic
445#97C2×Dic1111yescharacteristic
446C4×C8—111no—
447C4×C8—111no—
448C4×C8—111no—
449C4×C8—111no—
450C4×C8C22×D1111yescharacteristic
451C4×C8C22×D1111yescharacteristic
452C2×C11—41no—
453C2×C11—42no—
454C2×C11—42no—
455C2×C11—81no—
456C2×C11D4×M1611yescharacteristic
457C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
458C2×C11#295611yescharacteristic
459C24—21no—
460#41—22no—
461#41—41no—
462C2×Q8C22×Dic1111yescharacteristic
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—41no—
467C2×D4C22×Dic1111yescharacteristic
468C2×D4C22×Dic1111yescharacteristic
469C2×D4C22×Dic1111yescharacteristic
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4D4×D1111yescharacteristic
481C22×C4#434111yescharacteristic
482C22×C4C22×Dic1111yescharacteristic
483SD16—22no—
484SD16—22no—
485D8—22no—
486D8#431814yescomplemented
487M16—22no—
488M16—41no—
489M16—222no—
490M16—442no—
491M16—441no—
492M16—442no—
493M16—442no—
494M16—442no—
495C2×C8—111no—
496C2×C8—111no—
497C2×C8—111no—
498C2×C8—111no—
499C2×C8—221no—
500C2×C8—221no—
501C2×C8—221no—
502C2×C8—221no—
503C2×C8—221no—
504C2×C8—221no—
505C2×C8—442no—
506C2×C8—442no—
507C2×C8—442no—
508C2×C8—442no—
509C2×C8C22×Dic1111yescharacteristic
510C2×C8C22×Dic1111yescharacteristic
511C2×C8C22×Dic1111yescharacteristic
512C2×C8C22×Dic1111yescharacteristic
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4C22×Dic1111yescharacteristic
517C4⋊C4C22×Dic1111yescharacteristic
518C4⋊C4C22×Dic1111yescharacteristic
519C4⋊C4C22×Dic1111yescharacteristic
520C22⋊C4—21no—
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C22⋊C4—21no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42D4×D1111yescharacteristic
531C42#434111yescharacteristic
532C42C22×Dic1111yescharacteristic
533C42C23×D1111yescharacteristic
534C11#1804611yescharacteristic, complemented, Sylow
535C23—21no—
536C23—21no—
537C23—21no—
538C23—42no—
539C23—42no—
540C23—81no—
541C23D4×Dic1111yescharacteristic
542Q8—21no—
543Q8—21no—
544D4—21no—
545D4—21no—
546D4—21no—
547D4—21no—
548D4—42no—
549D4—42no—
550D4C2×#431812yes—
551D4C2×#431812yescomplemented
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—41no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—81no—
573C2×C4D4×Dic1111yescharacteristic
574C2×C4D4×Dic1111yescharacteristic
575C2×C4D4×Dic1111yescharacteristic
576C2×C4C2×D4×D1111yescharacteristic
577C2×C4C2×#434111yescharacteristic
578C2×C4C23×Dic1111yescharacteristic
579C8—21no—
580C8—21no—
581C8—21no—
582C8—112no—
583C8—222no—
584C8—221no—
585C8—221no—
586C8—221no—
587C8—441no—
588C8—441no—
589C8—441no—
590C8—441no—
591C8—441no—
592C8C2×#431812yescomplemented
593C22—21no—
594C22—21no—
595C22—22no—
596C22—22no—
597C22—21no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—84no—
606C22C2×D4×Dic1111yescharacteristic
607C4—21no—
608C4—21no—
609C4—21no—
610C4—21no—
611C4—41no—
612C4—41no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4D11×AGL(1,ℤ/8)11yescharacteristic
617C4#1062330411yescharacteristic
618C4C22×#431811yescharacteristic
619C4#1062335011yescharacteristic
620C2—41no—
621C2—42no—
622C2—42no—
623C2—81no—
624C2D4×#431811yescharacteristic
625C2AGL(1,ℤ/8)×Dic1111yescharacteristic
626C2#1307752611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC42C23×D11
FittingC4×C11×AGL(1,ℤ/8)C2
socleC22×C11C2×C4×D4
prime radicalC2×C11×AGL(1,ℤ/8)C4
cosocleC42×C11C24
hypercenterC4×AGL(1,ℤ/8)D11
hypocenterC11#18046
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #13077630C2semidirect
2. D4×#4318C2semidirect
3. #13067519C2semidirect
4. #13067507C2semidirect
5. #13067481C2semidirect
6. #13067474C2semidirect
7. #13067453C2semidirect
8. #13067446C2semidirect
9. #13067440C2semidirect
10. D8×C11⋊C8C2semidirect
11. #13067383C2semidirect
12. #13067059C2semidirect
13. #13067055C2semidirect
14. #13066919C2semidirect
33. #10622637C22semidirect
34. #10622637C22semidirect
43. D4×C11⋊C8C22semidirect
44. D4×C11⋊C8C22semidirect
51. Q8⋊(C11⋊C8)C22semidirect
52. Q8⋊(C11⋊C8)C22semidirect
57. D4⋊(C11⋊C8)C22semidirect
58. D4⋊(C11⋊C8)C22semidirect
59. #10622096C22semidirect
60. #10622096C22semidirect
61. #10622095C22semidirect
62. #10622095C22semidirect
63. #10622093C22semidirect
64. #10622092C22semidirect
65. #10622092C22semidirect
66. C8×C11⋊C8C22semidirect
174. C11×D8M16semidirect
253. D4×C11C2×M16semidirect
284. C8×C11C2×M16semidirect
294. C11⋊C8AGL(1,ℤ/8)semidirect
486. D8#4318semidirect
534. C11#18046semidirect
551. D4C2×#4318semidirect
592. C8C2×#4318semidirect

Maximal subgroups

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

subgroupindex
#130776302
D4×#43182
#130675192
#130675072
#130674812
#130674742
#130674532
#130674462
#130674402
D8×C11⋊C82
#130673832
#130670592
#130670552
#130669192
C4×C11×AGL(1,ℤ/8)2
#1804611