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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
2
×Q
8
and Q=
C
7
⋊C
3
Direct product G=N×Q with N=
C
2
×Q
8
and Q=
C
7
⋊C
3
d
ρ
Label
ID
C
2
×Q
8
×C
7
⋊C
3
112
C2xQ8xC7:C3
336,166
Semidirect products G=N:Q with N=
C
2
×Q
8
and Q=
C
7
⋊C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×Q
8
)⋊(C
7
⋊C
3
) =
C
2
×C
14
.A
4
φ:
C
7
⋊C
3
/
C
7
→
C
3
⊆ Out
C
2
×Q
8
112
(C2xQ8):(C7:C3)
336,172
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ℚ
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