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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=
C
4
2
.C
2
2
Direct product G=N×Q with N=
C
7
and Q=
C
4
2
.C
2
2
d
ρ
Label
ID
C
7
×C
4
2
.C
2
2
224
C7xC4^2.C2^2
448,133
Semidirect products G=N:Q with N=
C
7
and Q=
C
4
2
.C
2
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
4
2
.C
2
2
) =
C
4
2
.D
14
φ:
C
4
2
.C
2
2
/
C
8
⋊C
4
→
C
2
⊆ Aut
C
7
224
C7:1(C4^2.C2^2)
448,21
C
7
⋊
2
(C
4
2
.C
2
2
) =
C
4
2
.
7
D
14
φ:
C
4
2
.C
2
2
/
C
4
.
4
D
4
→
C
2
⊆ Aut
C
7
224
C7:2(C4^2.C2^2)
448,97
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