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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
×C
2
2
⋊C
4
and Q=
C
3
Direct product G=N×Q with N=
C
7
×C
2
2
⋊C
4
and Q=
C
3
d
ρ
Label
ID
C
2
2
⋊C
4
×C
21
168
C2^2:C4xC21
336,107
Semidirect products G=N:Q with N=
C
7
×C
2
2
⋊C
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
7
×C
2
2
⋊C
4
)⋊C
3
=
C
2
2
⋊C
4
×C
7
⋊C
3
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
7
×C
2
2
⋊C
4
56
(C7xC2^2:C4):C3
336,49
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≀
ℚ
◁