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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
and Q=
C
2
×C
42
Direct product G=N×Q with N=
C
2
and Q=
C
2
×C
42
d
ρ
Label
ID
C
2
2
×C
42
168
C2^2xC42
168,57
Non-split extensions G=N.Q with N=
C
2
and Q=
C
2
×C
42
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
2
×C
42
) =
D
4
×C
21
central stem extension (φ=1)
84
2
C2.1(C2xC42)
168,40
C
2
.
2
(C
2
×C
42
) =
Q
8
×C
21
central stem extension (φ=1)
168
2
C2.2(C2xC42)
168,41
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𝔽
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≀
ℚ
◁