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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
×F
8
and Q=
C
2
Direct product G=N×Q with N=
C
2
2
×F
8
and Q=
C
2
d
ρ
Label
ID
C
2
3
×F
8
56
C2^3xF8
448,1392
Semidirect products G=N:Q with N=
C
2
2
×F
8
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×F
8
)⋊C
2
=
D
4
×F
8
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
2
2
×F
8
28
14+
(C2^2xF8):C2
448,1363
Non-split extensions G=N.Q with N=
C
2
2
×F
8
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×F
8
).C
2
=
C
2
×C
4
×F
8
φ: trivial image
56
(C2^2xF8).C2
448,1362
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