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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
42
Direct product G=N×Q with N=
C
4
and Q=
C
42
d
ρ
Label
ID
C
2
×C
84
168
C2xC84
168,39
Semidirect products G=N:Q with N=
C
4
and Q=
C
42
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
⋊C
42
=
D
4
×C
21
φ:
C
42
/
C
21
→
C
2
⊆ Aut
C
4
84
2
C4:C42
168,40
Non-split extensions G=N.Q with N=
C
4
and Q=
C
42
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
42
=
Q
8
×C
21
φ:
C
42
/
C
21
→
C
2
⊆ Aut
C
4
168
2
C4.C42
168,41
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