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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
and Q=
He
3
⋊
4
Q
8
Direct product G=N×Q with N=
C
2
and Q=
He
3
⋊
4
Q
8
d
ρ
Label
ID
C
2
×He
3
⋊
4
Q
8
144
C2xHe3:4Q8
432,384
Non-split extensions G=N.Q with N=
C
2
and Q=
He
3
⋊
4
Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(He
3
⋊
4
Q
8
) =
C
6
2
.
29
D
6
central extension (φ=1)
144
C2.1(He3:4Q8)
432,187
C
2
.
2
(He
3
⋊
4
Q
8
) =
C
6
2
.
30
D
6
central extension (φ=1)
144
C2.2(He3:4Q8)
432,188
×
⋊
ℤ
𝔽
○
≀
ℚ
◁