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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
3
and Q=
C
2
3
×D
7
Direct product G=N×Q with N=
C
3
and Q=
C
2
3
×D
7
d
ρ
Label
ID
D
7
×C
2
2
×C
6
168
D7xC2^2xC6
336,225
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
3
×D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
3
×D
7
) =
C
2
2
×S
3
×D
7
φ:
C
2
3
×D
7
/
C
2
2
×D
7
→
C
2
⊆ Aut
C
3
84
C3:1(C2^3xD7)
336,219
C
3
⋊
2
(C
2
3
×D
7
) =
C
2
3
×D
21
φ:
C
2
3
×D
7
/
C
2
2
×C
14
→
C
2
⊆ Aut
C
3
168
C3:2(C2^3xD7)
336,227
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○
≀
ℚ
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