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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
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⋊
.
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≀
Extensions
1→N→G→Q→1 with N=
C
7
and Q=
C
7
2
Direct product G=N×Q with N=
C
7
and Q=
C
7
2
d
ρ
Label
ID
C
7
3
343
C7^3
343,5
Non-split extensions G=N.Q with N=
C
7
and Q=
C
7
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
.
1
C
7
2
=
He
7
central stem extension (φ=1)
49
7
C7.1C7^2
343,3
C
7
.
2
C
7
2
=
7
-
1+2
central stem extension (φ=1)
49
7
C7.2C7^2
343,4
×
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ℤ
𝔽
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≀
ℚ
◁