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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
6
and Q=
C
3
×C
21
Direct product G=N×Q with N=
C
6
and Q=
C
3
×C
21
d
ρ
Label
ID
C
3
2
×C
42
378
C3^2xC42
378,60
Non-split extensions G=N.Q with N=
C
6
and Q=
C
3
×C
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.
1
(C
3
×C
21
) =
C
14
×He
3
central extension (φ=1)
126
3
C6.1(C3xC21)
378,45
C
6
.
2
(C
3
×C
21
) =
C
14
×3
-
1+2
central extension (φ=1)
126
3
C6.2(C3xC21)
378,46
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ℚ
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