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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=
D
7
Direct product G=N×Q with N=
C
2
2
and Q=
D
7
d
ρ
Label
ID
C
2
2
×D
7
28
C2^2xD7
56,12
Semidirect products G=N:Q with N=
C
2
2
and Q=
D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊D
7
=
C
7
⋊D
4
φ:
D
7
/
C
7
→
C
2
⊆ Aut
C
2
2
28
2
C2^2:D7
56,7
Non-split extensions G=N.Q with N=
C
2
2
and Q=
D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
.D
7
=
C
2
×Dic
7
central extension (φ=1)
56
C2^2.D7
56,6
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ℚ
◁