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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=
C
2
3
.
84
C
2
3
Direct product G=N×Q with N=
C
7
and Q=
C
2
3
.
84
C
2
3
d
ρ
Label
ID
C
7
×C
2
3
.
84
C
2
3
448
C7xC2^3.84C2^3
448,809
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
3
.
84
C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
2
3
.
84
C
2
3
) =
(C
2
2
×C
4
).D
14
φ:
C
2
3
.
84
C
2
3
/
C
2
.C
4
2
→
C
2
⊆ Aut
C
7
448
C7:(C2^3.84C2^3)
448,196
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ℤ
𝔽
○
≀
ℚ
◁