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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=
C
2
2
×D
4
and Q=
C
15
Direct product G=N×Q with N=
C
2
2
×D
4
and Q=
C
15
d
ρ
Label
ID
D
4
×C
2
×C
30
240
D4xC2xC30
480,1181
Semidirect products G=N:Q with N=
C
2
2
×D
4
and Q=
C
15
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×D
4
)⋊C
15
=
C
5
×D
4
×A
4
φ:
C
15
/
C
5
→
C
3
⊆ Out
C
2
2
×D
4
60
6
(C2^2xD4):C15
480,1127
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