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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=
Q
32
Direct product G=N×Q with N=
C
7
and Q=
Q
32
d
ρ
Label
ID
C
7
×Q
32
224
2
C7xQ32
224,62
Semidirect products G=N:Q with N=
C
7
and Q=
Q
32
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
Q
32
=
Dic
56
φ:
Q
32
/
C
16
→
C
2
⊆ Aut
C
7
224
2-
C7:1Q32
224,7
C
7
⋊
2
Q
32
=
C
7
⋊Q
32
φ:
Q
32
/
Q
16
→
C
2
⊆ Aut
C
7
224
4-
C7:2Q32
224,35
×
⋊
ℤ
𝔽
○
≀
ℚ
◁