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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
3
and Q=
C
2
4
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
2
4
d
ρ
Label
ID
C
2
4
×C
7
⋊C
3
112
C2^4xC7:C3
336,220
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
2
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊C
2
4
=
C
2
3
×F
7
φ:
C
2
4
/
C
2
3
→
C
2
⊆ Out
C
7
⋊C
3
56
C7:C3:C2^4
336,216
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𝔽
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≀
ℚ
◁