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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
2
2
and Q=
C
56
Direct product G=N×Q with N=
C
2
2
and Q=
C
56
d
ρ
Label
ID
C
2
2
×C
56
224
C2^2xC56
224,164
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
56
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊C
56
=
C
7
×C
2
2
⋊C
8
φ:
C
56
/
C
28
→
C
2
⊆ Aut
C
2
2
112
C2^2:C56
224,47
Non-split extensions G=N.Q with N=
C
2
2
and Q=
C
56
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
.C
56
=
C
7
×M
5
(2)
φ:
C
56
/
C
28
→
C
2
⊆ Aut
C
2
2
112
2
C2^2.C56
224,59
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