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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
×C
32
Direct product G=N×Q with N=
C
3
and Q=
C
2
×C
32
d
ρ
Label
ID
C
2
×C
96
192
C2xC96
192,175
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
×C
32
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
×C
32
) =
S
3
×C
32
φ:
C
2
×C
32
/
C
32
→
C
2
⊆ Aut
C
3
96
2
C3:1(C2xC32)
192,5
C
3
⋊
2
(C
2
×C
32
) =
C
2
×C
3
⋊C
32
φ:
C
2
×C
32
/
C
2
×C
16
→
C
2
⊆ Aut
C
3
192
C3:2(C2xC32)
192,57
×
⋊
ℤ
𝔽
○
≀
ℚ
◁