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