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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
2
×C
28
Direct product G=N×Q with N=
C
3
and Q=
C
2
2
×C
28
d
ρ
Label
ID
C
2
2
×C
84
336
C2^2xC84
336,204
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
2
×C
28
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
2
×C
28
) =
S
3
×C
2
×C
28
φ:
C
2
2
×C
28
/
C
2
×C
28
→
C
2
⊆ Aut
C
3
168
C3:1(C2^2xC28)
336,185
C
3
⋊
2
(C
2
2
×C
28
) =
Dic
3
×C
2
×C
14
φ:
C
2
2
×C
28
/
C
2
2
×C
14
→
C
2
⊆ Aut
C
3
336
C3:2(C2^2xC28)
336,192
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