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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
7
×D
4
and Q=
C
3
Direct product G=N×Q with N=
C
7
×D
4
and Q=
C
3
d
ρ
Label
ID
D
4
×C
21
84
2
D4xC21
168,40
Semidirect products G=N:Q with N=
C
7
×D
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
7
×D
4
)⋊C
3
=
D
4
×C
7
⋊C
3
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
7
×D
4
28
6
(C7xD4):C3
168,20
×
⋊
ℤ
𝔽
○
≀
ℚ
◁