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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=
Q
8
×C
2
3
Direct product G=N×Q with N=
C
7
and Q=
Q
8
×C
2
3
d
ρ
Label
ID
Q
8
×C
2
2
×C
14
448
Q8xC2^2xC14
448,1387
Semidirect products G=N:Q with N=
C
7
and Q=
Q
8
×C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(Q
8
×C
2
3
) =
C
2
3
×Dic
14
φ:
Q
8
×C
2
3
/
C
2
3
×C
4
→
C
2
⊆ Aut
C
7
448
C7:1(Q8xC2^3)
448,1365
C
7
⋊
2
(Q
8
×C
2
3
) =
C
2
2
×Q
8
×D
7
φ:
Q
8
×C
2
3
/
C
2
2
×Q
8
→
C
2
⊆ Aut
C
7
224
C7:2(Q8xC2^3)
448,1372
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