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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
2
2
⋊C
16
Direct product G=N×Q with N=
C
7
and Q=
C
2
2
⋊C
16
d
ρ
Label
ID
C
7
×C
2
2
⋊C
16
224
C7xC2^2:C16
448,152
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
2
⋊C
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
2
2
⋊C
16
) =
D
14
⋊C
16
φ:
C
2
2
⋊C
16
/
C
2
×C
16
→
C
2
⊆ Aut
C
7
224
C7:1(C2^2:C16)
448,64
C
7
⋊
2
(C
2
2
⋊C
16
) =
C
56
.
91
D
4
φ:
C
2
2
⋊C
16
/
C
2
2
×C
8
→
C
2
⊆ Aut
C
7
224
C7:2(C2^2:C16)
448,106
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