Extensions 1→N→G→Q→1 with N=C2xA4 and Q=Q8

Direct product G=NxQ with N=C2xA4 and Q=Q8
dρLabelID
C2xQ8xA448C2xQ8xA4192,1499

Semidirect products G=N:Q with N=C2xA4 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xA4):Q8 = C2xA4:Q8φ: Q8/C4C2 ⊆ Out C2xA448(C2xA4):Q8192,1468

Non-split extensions G=N.Q with N=C2xA4 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xA4).1Q8 = C24.3D6φ: Q8/C4C2 ⊆ Out C2xA448(C2xA4).1Q8192,970
(C2xA4).2Q8 = C24.4D6φ: Q8/C4C2 ⊆ Out C2xA448(C2xA4).2Q8192,971
(C2xA4).3Q8 = A4xC4:C4φ: trivial image48(C2xA4).3Q8192,995

׿
x
:
Z
F
o
wr
Q
<