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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
2
and Q=
C
4
Direct product G=N×Q with N=
C
2
2
and Q=
C
4
d
ρ
Label
ID
C
2
2
×C
4
16
C2^2xC4
16,10
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊C
4
=
C
2
2
⋊C
4
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
2
2
8
C2^2:C4
16,3
Non-split extensions G=N.Q with N=
C
2
2
and Q=
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
.C
4
=
M
4
(2)
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
2
2
8
2
C2^2.C4
16,6
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○
≀
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