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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=
D
21
and Q=
Q
8
Direct product G=N×Q with N=
D
21
and Q=
Q
8
d
ρ
Label
ID
Q
8
×D
21
168
4-
Q8xD21
336,200
Semidirect products G=N:Q with N=
D
21
and Q=
Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
D
21
⋊Q
8
=
D
21
⋊Q
8
φ:
Q
8
/
C
4
→
C
2
⊆ Out
D
21
168
4
D21:Q8
336,143
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⋊
ℤ
𝔽
○
≀
ℚ
◁