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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
and Q=
D
30
Direct product G=N×Q with N=
C
7
and Q=
D
30
d
ρ
Label
ID
C
14
×D
15
210
2
C14xD15
420,39
Semidirect products G=N:Q with N=
C
7
and Q=
D
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
D
30
=
D
7
×D
15
φ:
D
30
/
D
15
→
C
2
⊆ Aut
C
7
105
4+
C7:1D30
420,26
C
7
⋊
2
D
30
=
D
210
φ:
D
30
/
C
30
→
C
2
⊆ Aut
C
7
210
2+
C7:2D30
420,40
×
⋊
ℤ
𝔽
○
≀
ℚ
◁