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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
2
2
×S
3
Direct product G=N×Q with N=
D
5
and Q=
C
2
2
×S
3
d
ρ
Label
ID
C
2
2
×S
3
×D
5
60
C2^2xS3xD5
240,202
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
2
×S
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
(C
2
2
×S
3
) =
C
2
×S
3
×F
5
φ:
C
2
2
×S
3
/
D
6
→
C
2
⊆ Out
D
5
30
8+
D5.1(C2^2xS3)
240,195
D
5
.
2
(C
2
2
×S
3
) =
C
2
2
×C
3
⋊F
5
φ:
C
2
2
×S
3
/
C
2
×C
6
→
C
2
⊆ Out
D
5
60
D5.2(C2^2xS3)
240,201
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