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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
⋊C
3
and Q=
Q
16
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
Q
16
d
ρ
Label
ID
Q
16
×C
7
⋊C
3
112
6
Q16xC7:C3
336,55
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
Q
16
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊
1
Q
16
=
C
8
.F
7
φ:
Q
16
/
C
8
→
C
2
⊆ Out
C
7
⋊C
3
112
6-
C7:C3:1Q16
336,11
C
7
⋊C
3
⋊
2
Q
16
=
Q
8
.
2
F
7
φ:
Q
16
/
Q
8
→
C
2
⊆ Out
C
7
⋊C
3
112
12-
C7:C3:2Q16
336,21
×
⋊
ℤ
𝔽
○
≀
ℚ
◁