Finite Group Databasebeta

← #14725367

Subgroups — #14725367

Order 2816.

676 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077741C211yesmaximal, characteristic, complemented
2#13077651C211yesmaximal, 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#13067050C211yesmaximal, characteristic, complemented
13#13067041C211yesmaximal, characteristic, complemented
14#13066913C211yesmaximal, characteristic, complemented
15C4×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic
16C2×C11×AGL(1,ℤ/8)C411yescharacteristic
17C4×C11×#41C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C11×#442C411yescharacteristic
20C11×#442C411yescharacteristic
21C11×#440C411yescharacteristic
22C11×#440C411yescharacteristic
23C4×C11×SD16C2211yescharacteristic
24C4×C11×SD16C2211yescharacteristic
25C4×C11×D8C2211yescharacteristic
26C4×C11×D8C2211yescharacteristic
27C11×#428C411yescharacteristic
28C11×#418C411yescharacteristic
29C11×#417C411yescharacteristic
30C4×C11×M16C2211yescharacteristic
31#10622820—21no—
32C2×C22⋊(C11⋊C8)—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#10622538C2211yescharacteristic
48#10622538C2211yescharacteristic
49#10622537C2211yescharacteristic
50C2×C4⋊(C11⋊C8)—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—
98C22×C11⋊C8—21no—
99C22×C11⋊C8—21no—
100C22×C11⋊C8—21no—
101C22×C11⋊C8—21no—
102C11×#107C2×C411yescharacteristic
103C11×#107C2×C411yescharacteristic
104C11×#106C2×C411yescharacteristic
105C11×#106C2×C411yescharacteristic
106C11×#103C2×C411yescharacteristic
107C11×#103C2×C411yescharacteristic
108C11×#102C2×C411yescharacteristic
109C11×#102C2×C411yescharacteristic
110C11×#102C2×C411yescharacteristic
111C11×#102C2×C411yescharacteristic
112C11×#102C2×C411yescharacteristic
113C11×#102C2×C411yescharacteristic
114C11×#97C2×C411yescharacteristic
115C11×#97C2×C411yescharacteristic
116C4×C8×C11C2311yescharacteristic
117C4×C8×C11C2311yescharacteristic
118C22⋊(C11⋊C8)—21no—
119C22⋊(C11⋊C8)—21no—
120C22⋊(C11⋊C8)—21no—
121C22⋊(C11⋊C8)—21no—
122C22⋊(C11⋊C8)—21no—
123C22⋊(C11⋊C8)—21no—
124C22⋊(C11⋊C8)—21no—
125C22⋊(C11⋊C8)—21no—
126C22⋊(C11⋊C8)D411yescharacteristic
127C22⋊(C11⋊C8)D411yescharacteristic
128C4⋊(C11⋊C8)—21no—
129C4⋊(C11⋊C8)—21no—
130C4⋊(C11⋊C8)—21no—
131C4⋊(C11⋊C8)—21no—
132C4⋊(C11⋊C8)D411yescharacteristic
133C4⋊(C11⋊C8)D411yescharacteristic
134C4⋊(C11⋊C8)C2311yescharacteristic
135C4⋊(C11⋊C8)C2311yescharacteristic
136C4⋊(C11⋊C8)C2311yescharacteristic
137C4⋊(C11⋊C8)C2311yescharacteristic
138#66867—21no—
139#66867—21no—
140#66867—21no—
141C4×C11⋊C8C2311yescharacteristic
142C4×C11⋊C8C2311yescharacteristic
143C4×C11⋊C8C2311yescharacteristic
144C4×C11⋊C8C2311yescharacteristic
145#18050—111nomaximal, Sylow
146C24×C11—21no—
147C11×#41—22no—
148C11×#41—41no—
149C2×Q8×C11C22×C411yescharacteristic
150C2×D4×C11—22no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—41no—
154C2×D4×C11C22×C411yescharacteristic
155C2×D4×C11C22×C411yescharacteristic
156C2×D4×C11C22×C411yescharacteristic
157C22×C4×C11—21no—
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—81no—
166C22×C4×C11—81no—
167C22×C4×C11C22×C411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11#4111yescharacteristic
170C11×SD16—22no—
171C11×SD16—22no—
172C11×D8—22no—
173C11×D8M1614yescomplemented
174C11×M16—22no—
175C11×M16—41no—
176C2×C8×C11C22×C411yescharacteristic
177C2×C8×C11C22×C411yescharacteristic
178C2×C8×C11C22×C411yescharacteristic
179C2×C8×C11C22×C411yescharacteristic
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4C22×C411yescharacteristic
184C11×C4⋊C4C22×C411yescharacteristic
185C11×C4⋊C4C22×C411yescharacteristic
186C11×C4⋊C4C22×C411yescharacteristic
187C11×C22⋊C4—21no—
188C11×C22⋊C4—21no—
189C11×C22⋊C4—21no—
190C11×C22⋊C4—21no—
191C11×C22⋊C4—21no—
192C11×C22⋊C4—21no—
193C11×C22⋊C4—21no—
194C42×C11—21no—
195C42×C11—21no—
196C42×C11—21no—
197C42×C11C22×C411yescharacteristic
198C42×C11C2×D411yescharacteristic
199C42×C11#4111yescharacteristic
200C42×C11C2411yescharacteristic
201#4318—81no—
202#4318—81no—
203#4318—81no—
204C2×C11⋊C8—21no—
205C2×C11⋊C8—21no—
206C2×C11⋊C8—21no—
207C2×C11⋊C8—21no—
208C2×C11⋊C8—21no—
209C2×C11⋊C8—21no—
210C2×C11⋊C8—81no—
211C2×C11⋊C8—81no—
212C2×C11⋊C8—81no—
213C2×C11⋊C8—81no—
214C2×C11⋊C8C2×D411yescharacteristic
215C2×C11⋊C8C2×D411yescharacteristic
216C2×C11⋊C8C2×D411yescharacteristic
217C2×C11⋊C8C2×D411yescharacteristic
218#2990—111no—
219#2974—111no—
220C4×AGL(1,ℤ/8)D1111yescharacteristic
221#1592—111no—
222#1590—111no—
223#1586—111no—
224#1585—111no—
225#1582—111no—
226#1581—111no—
227#1580—111no—
228C8×D8—111no—
229#1569—111no—
230#1488—111no—
231#1486—111no—
232#1453—111no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—81no—
239C23×C11C4×D411yescharacteristic
240Q8×C11—21no—
241Q8×C11—21no—
242D4×C11—21no—
243D4×C11—21no—
244D4×C11—21no—
245D4×C11—21no—
246D4×C11—42no—
247D4×C11—42no—
248D4×C11C2×M1612yes—
249D4×C11C2×M1612yes—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—41no—
260C2×C4×C11—42no—
261C2×C4×C11—42no—
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—81no—
269C2×C4×C11—81no—
270C2×C4×C11—81no—
271C2×C4×C11C4×D411yescharacteristic
272C2×C4×C11C4×D411yescharacteristic
273C2×C4×C11C4×D411yescharacteristic
274C2×C4×C11C23×C411yescharacteristic
275C2×C4×C11C22×D411yescharacteristic
276C2×C4×C11C2×#4111yescharacteristic
277C8×C11—21no—
278C8×C11—21no—
279C8×C11—21no—
280C8×C11C2×M1612yes—
281C11⋊C8—21no—
282C11⋊C8—21no—
283C11⋊C8—21no—
284C11⋊C8—21no—
285C11⋊C8—41no—
286C11⋊C8—41no—
287C11⋊C8—41no—
288C11⋊C8—41no—
289C11⋊C8—41no—
290C11⋊C8—41no—
291C2×AGL(1,ℤ/8)Dic1111yescharacteristic
292C4×#41C2×D1111yescharacteristic
293C2×C4×D4C2×D1111yescharacteristic
294#446—111no—
295#446—111no—
296#442Dic1111yescharacteristic
297#442Dic1111yescharacteristic
298#440Dic1111yescharacteristic
299#440Dic1111yescharacteristic
300C4×SD16C2×D1111yescharacteristic
301C4×SD16C2×D1111yescharacteristic
302C4×D8C2×D1111yescharacteristic
303C4×D8C2×D1111yescharacteristic
304#436—111no—
305#436—111no—
306#435—221no—
307#435—221no—
308#435—221no—
309#435—221no—
310C8×D4—111no—
311C8×D4—111no—
312C8×D4—111no—
313C8×D4—111no—
314#432—111no—
315#432—221no—
316#431—111no—
317#431—111no—
318#428Dic1111yescharacteristic
319#423—111no—
320C2×C4⋊C8—221no—
321#418Dic1111yescharacteristic
322#417Dic1111yescharacteristic
323#407—221no—
324C2×C22⋊C8—221no—
325C4×M16C2×D1111yescharacteristic
326#335—111no—
327#335—111no—
328#334—111no—
329#334—111no—
330Q8⋊C8—111no—
331Q8⋊C8—111no—
332D4⋊C8—111no—
333D4⋊C8—111no—
334D4⋊C8—111no—
335D4⋊C8—111no—
336D4⋊C8—111no—
337D4⋊C8—111no—
338#322—111no—
339#322—111no—
340#322—111no—
341C82—111no—
342C22×C11—21no—
343C22×C11—22no—
344C22×C11—22no—
345C22×C11—21no—
346C22×C11—21no—
347C22×C11—41no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—84no—
355C22×C11C2×C4×D411yescharacteristic
356C4×C11—21no—
357C4×C11—21no—
358C4×C11—21no—
359C4×C11—21no—
360C4×C11—41no—
361C4×C11—41no—
362C4×C11—41no—
363C4×C11—41no—
364C4×C11—41no—
365C4×C11C22×M1611yescharacteristic
366C4×C11#56811yescharacteristic
367C4×C11#57611yescharacteristic
368C4×C11#57711yescharacteristic
369C2×#41C2×Dic1111yescharacteristic
370C22×D4C2×Dic1111yescharacteristic
371C23×C4—21no—
372AGL(1,ℤ/8)—24no—
373C2×SD16C2×Dic1111yescharacteristic
374C2×SD16C2×Dic1111yescharacteristic
375C2×D8C2×Dic1111yescharacteristic
376C2×D8C2×Dic1111yescharacteristic
377C2×M16—221no—
378C2×M16—221no—
379C2×M16—221no—
380C2×M16C2×Dic1111yescharacteristic
381C2×M16C2×Dic1111yescharacteristic
382C22×C8—221no—
383C22×C8—221no—
384C22×C8—221no—
385C22×C8—221no—
386C4×Q8C2×Dic1111yescharacteristic
387C4×Q8C22×D1111yescharacteristic
388C4×D4—21no—
389C4×D4—21no—
390C4×D4—21no—
391C4×D4—21no—
392C4×D4C2×Dic1111yescharacteristic
393C4×D4C2×Dic1111yescharacteristic
394C4×D4C2×Dic1111yescharacteristic
395C4×D4C22×D1111yescharacteristic
396C4×D4C22×D1111yescharacteristic
397C4×D4C22×D1111yescharacteristic
398#117—21no—
399#117C2×Dic1111yescharacteristic
400C2×C4⋊C4C2×Dic1111yescharacteristic
401C2×C22⋊C4—21no—
402C2×C42—21no—
403C2×C42C22×D1111yescharacteristic
404#107C2×Dic1111yescharacteristic
405#107C2×Dic1111yescharacteristic
406#106C2×Dic1111yescharacteristic
407#106C2×Dic1111yescharacteristic
408C4⋊C8—111no—
409C4⋊C8—111no—
410C4⋊C8—111no—
411C4⋊C8—111no—
412C4⋊C8—111no—
413C4⋊C8—111no—
414C4⋊C8—221no—
415C4⋊C8—221no—
416C4⋊C8—221no—
417C4⋊C8—221no—
418#103C2×Dic1111yescharacteristic
419#103C2×Dic1111yescharacteristic
420#102C2×Dic1111yescharacteristic
421#102C2×Dic1111yescharacteristic
422#102C2×Dic1111yescharacteristic
423#102C2×Dic1111yescharacteristic
424#102C2×Dic1111yescharacteristic
425#102C2×Dic1111yescharacteristic
426C22⋊C8—111no—
427C22⋊C8—111no—
428C22⋊C8—221no—
429C22⋊C8—221no—
430C22⋊C8—221no—
431C22⋊C8—221no—
432C22⋊C8—221no—
433C22⋊C8—221no—
434C22⋊C8—221no—
435C22⋊C8—221no—
436#97—221no—
437#97—221no—
438#97—221no—
439#97C2×Dic1111yescharacteristic
440#97C2×Dic1111yescharacteristic
441C4×C8—111no—
442C4×C8—111no—
443C4×C8—111no—
444C4×C8—111no—
445C4×C8C22×D1111yescharacteristic
446C4×C8C22×D1111yescharacteristic
447C2×C11—41no—
448C2×C11—42no—
449C2×C11—42no—
450C2×C11—81no—
451C2×C11D4×M1611yescharacteristic
452C2×C11#294611yescharacteristic
453C2×C11#295511yescharacteristic
454C24—21no—
455#41—22no—
456#41—41no—
457C2×Q8C22×Dic1111yescharacteristic
458C2×D4—22no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—41no—
462C2×D4C22×Dic1111yescharacteristic
463C2×D4C22×Dic1111yescharacteristic
464C2×D4C22×Dic1111yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4D4×D1111yescharacteristic
476C22×C4#434111yescharacteristic
477C22×C4C22×Dic1111yescharacteristic
478SD16—22no—
479SD16—22no—
480D8—22no—
481D8#431814yescomplemented
482M16—22no—
483M16—41no—
484M16—881no—
485M16—881no—
486M16—881no—
487C2×C8—111no—
488C2×C8—111no—
489C2×C8—111no—
490C2×C8—111no—
491C2×C8—221no—
492C2×C8—221no—
493C2×C8—221no—
494C2×C8—221no—
495C2×C8—221no—
496C2×C8—221no—
497C2×C8—881no—
498C2×C8—881no—
499C2×C8—881no—
500C2×C8—881no—
501C2×C8C22×Dic1111yescharacteristic
502C2×C8C22×Dic1111yescharacteristic
503C2×C8C22×Dic1111yescharacteristic
504C2×C8C22×Dic1111yescharacteristic
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4C22×Dic1111yescharacteristic
509C4⋊C4C22×Dic1111yescharacteristic
510C4⋊C4C22×Dic1111yescharacteristic
511C4⋊C4C22×Dic1111yescharacteristic
512C22⋊C4—21no—
513C22⋊C4—21no—
514C22⋊C4—21no—
515C22⋊C4—21no—
516C22⋊C4—21no—
517C22⋊C4—21no—
518C22⋊C4—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42D4×D1111yescharacteristic
523C42#434111yescharacteristic
524C42C22×Dic1111yescharacteristic
525C42C23×D1111yescharacteristic
526C11#1805011yescharacteristic, complemented, Sylow
527C23—21no—
528C23—21no—
529C23—21no—
530C23—42no—
531C23—42no—
532C23—81no—
533C23D4×Dic1111yescharacteristic
534Q8—21no—
535Q8—21no—
536D4—21no—
537D4—21no—
538D4—21no—
539D4—21no—
540D4—42no—
541D4—42no—
542D4C2×#431812yes—
543D4C2×#431812yes—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—41no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—81no—
563C2×C4—81no—
564C2×C4—81no—
565C2×C4D4×Dic1111yescharacteristic
566C2×C4D4×Dic1111yescharacteristic
567C2×C4D4×Dic1111yescharacteristic
568C2×C4C2×D4×D1111yescharacteristic
569C2×C4C2×#434111yescharacteristic
570C2×C4C23×Dic1111yescharacteristic
571C8—21no—
572C8—21no—
573C8—21no—
574C8—221no—
575C8—221no—
576C8—221no—
577C8—221no—
578C8—441no—
579C8—441no—
580C8—441no—
581C8—441no—
582C8—441no—
583C8—441no—
584C8C2×#431812yes—
585C22—21no—
586C22—21no—
587C22—22no—
588C22—22no—
589C22—21no—
590C22—41no—
591C22—41no—
592C22—41no—
593C22—41no—
594C22—41no—
595C22—41no—
596C22—41no—
597C22—84no—
598C22C2×D4×Dic1111yescharacteristic
599C4—21no—
600C4—21no—
601C4—21no—
602C4—21no—
603C4—41no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4—41no—
608C4#1062330511yescharacteristic
609C4#1062330611yescharacteristic
610C4C22×#431811yescharacteristic
611C4#1062335011yescharacteristic
612C2—41no—
613C2—42no—
614C2—42no—
615C2—81no—
616C2D4×#431811yescharacteristic
617C2#1307744911yescharacteristic
618C2#1307751911yescharacteristic
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#18050
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. #13077741C2semidirect
2. #13077651C2semidirect
3. #13067519C2semidirect
4. #13067507C2semidirect
5. #13067481C2semidirect
6. #13067474C2semidirect
7. #13067453C2semidirect
8. #13067446C2semidirect
9. #13067440C2semidirect
10. D8×C11⋊C8C2semidirect
11. #13067383C2semidirect
12. #13067050C2semidirect
13. #13067041C2semidirect
14. #13066913C2semidirect
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
173. C11×D8M16semidirect
481. D8#4318semidirect
526. C11#18050semidirect

Maximal subgroups

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

subgroupindex
#130777412
#130776512
#130675192
#130675072
#130674812
#130674742
#130674532
#130674462
#130674402
D8×C11⋊C82
#130673832
#130670502
#130670412
#130669132
C4×C11×AGL(1,ℤ/8)2
#1805011