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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
and Q=
C
3
×C
9
Direct product G=N×Q with N=
C
7
and Q=
C
3
×C
9
d
ρ
Label
ID
C
3
×C
63
189
C3xC63
189,9
Semidirect products G=N:Q with N=
C
7
and Q=
C
3
×C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
3
×C
9
) =
C
9
×C
7
⋊C
3
φ:
C
3
×C
9
/
C
9
→
C
3
⊆ Aut
C
7
63
3
C7:1(C3xC9)
189,3
C
7
⋊
2
(C
3
×C
9
) =
C
3
×C
7
⋊C
9
φ:
C
3
×C
9
/
C
3
2
→
C
3
⊆ Aut
C
7
189
C7:2(C3xC9)
189,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁