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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=
C
4
2
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
4
2
d
ρ
Label
ID
C
4
2
×C
7
⋊C
3
112
C4^2xC7:C3
336,48
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
4
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊C
4
2
=
C
4
×C
7
⋊C
12
φ:
C
4
2
/
C
2
×C
4
→
C
2
⊆ Out
C
7
⋊C
3
112
C7:C3:C4^2
336,14
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⋊
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𝔽
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≀
ℚ
◁