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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
42
Direct product G=N×Q with N=
C
2
2
and Q=
C
42
d
ρ
Label
ID
C
2
2
×C
42
168
C2^2xC42
168,57
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
42
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊C
42
=
A
4
×C
14
φ:
C
42
/
C
14
→
C
3
⊆ Aut
C
2
2
42
3
C2^2:C42
168,52
C
2
2
⋊
2
C
42
=
D
4
×C
21
φ:
C
42
/
C
21
→
C
2
⊆ Aut
C
2
2
84
2
C2^2:2C42
168,40
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⋊
ℤ
𝔽
○
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ℚ
◁