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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
22
and Q=
C
8
Direct product G=N×Q with N=
C
22
and Q=
C
8
d
ρ
Label
ID
C
2
×C
88
176
C2xC88
176,22
Semidirect products G=N:Q with N=
C
22
and Q=
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
22
⋊C
8
=
C
2
×C
11
⋊C
8
φ:
C
8
/
C
4
→
C
2
⊆ Aut
C
22
176
C22:C8
176,8
Non-split extensions G=N.Q with N=
C
22
and Q=
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
22
.C
8
=
C
11
⋊C
16
φ:
C
8
/
C
4
→
C
2
⊆ Aut
C
22
176
2
C22.C8
176,1
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𝔽
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ℚ
◁