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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
3
.
84
C
2
3
and Q=
C
7
Direct product G=N×Q with N=
C
2
3
.
84
C
2
3
and Q=
C
7
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
2
3
.
84
C
2
3
and Q=
C
7
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
3
.
84
C
2
3
⋊C
7
=
C
2
3
.F
8
φ:
C
7
/
C
1
→
C
7
⊆ Out
C
2
3
.
84
C
2
3
56
14
C2^3.84C2^3:C7
448,179
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⋊
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𝔽
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ℚ
◁