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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=
S
3
×C
2
3
Direct product G=N×Q with N=
C
7
and Q=
S
3
×C
2
3
d
ρ
Label
ID
S
3
×C
2
2
×C
14
168
S3xC2^2xC14
336,226
Semidirect products G=N:Q with N=
C
7
and Q=
S
3
×C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(S
3
×C
2
3
) =
C
2
2
×S
3
×D
7
φ:
S
3
×C
2
3
/
C
2
2
×S
3
→
C
2
⊆ Aut
C
7
84
C7:1(S3xC2^3)
336,219
C
7
⋊
2
(S
3
×C
2
3
) =
C
2
3
×D
21
φ:
S
3
×C
2
3
/
C
2
2
×C
6
→
C
2
⊆ Aut
C
7
168
C7:2(S3xC2^3)
336,227
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