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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
7
2
and Q=
C
7
Direct product G=N×Q with N=
C
7
2
and Q=
C
7
d
ρ
Label
ID
C
7
3
343
C7^3
343,5
Semidirect products G=N:Q with N=
C
7
2
and Q=
C
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
2
⋊C
7
=
He
7
φ:
C
7
/
C
1
→
C
7
⊆ Aut
C
7
2
49
7
C7^2:C7
343,3
Non-split extensions G=N.Q with N=
C
7
2
and Q=
C
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
2
.C
7
=
7
-
1+2
φ:
C
7
/
C
1
→
C
7
⊆ Aut
C
7
2
49
7
C7^2.C7
343,4
×
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𝔽
○
≀
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◁