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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
D
5
and Q=
C
6
×Q
8
Direct product G=N×Q with N=
D
5
and Q=
C
6
×Q
8
d
ρ
Label
ID
C
6
×Q
8
×D
5
240
C6xQ8xD5
480,1142
Non-split extensions G=N.Q with N=
D
5
and Q=
C
6
×Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
(C
6
×Q
8
) =
C
6
×C
4
⋊F
5
φ:
C
6
×Q
8
/
C
2
×C
12
→
C
2
⊆ Out
D
5
120
D5.1(C6xQ8)
480,1051
D
5
.
2
(C
6
×Q
8
) =
C
3
×Q
8
×F
5
φ:
C
6
×Q
8
/
C
3
×Q
8
→
C
2
⊆ Out
D
5
120
8
D5.2(C6xQ8)
480,1056
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𝔽
○
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◁