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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=
D
7
and Q=
C
2
×C
12
Direct product G=N×Q with N=
D
7
and Q=
C
2
×C
12
d
ρ
Label
ID
D
7
×C
2
×C
12
168
D7xC2xC12
336,175
Semidirect products G=N:Q with N=
D
7
and Q=
C
2
×C
12
extension
φ:Q→Out N
d
ρ
Label
ID
D
7
⋊(C
2
×C
12
) =
C
2
×C
4
×F
7
φ:
C
2
×C
12
/
C
2
×C
4
→
C
3
⊆ Out
D
7
56
D7:(C2xC12)
336,122
×
⋊
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𝔽
○
≀
ℚ
◁