Extensions 1→N→G→Q→1 with N=C4xC11:C5 and Q=C2

Direct product G=NxQ with N=C4xC11:C5 and Q=C2
dρLabelID
C2xC4xC11:C588C2xC4xC11:C5440,12

Semidirect products G=N:Q with N=C4xC11:C5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xC11:C5):1C2 = D44:C5φ: C2/C1C2 ⊆ Out C4xC11:C54410+(C4xC11:C5):1C2440,9
(C4xC11:C5):2C2 = C4xF11φ: C2/C1C2 ⊆ Out C4xC11:C54410(C4xC11:C5):2C2440,8
(C4xC11:C5):3C2 = D4xC11:C5φ: C2/C1C2 ⊆ Out C4xC11:C54410(C4xC11:C5):3C2440,13

Non-split extensions G=N.Q with N=C4xC11:C5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xC11:C5).1C2 = C4.F11φ: C2/C1C2 ⊆ Out C4xC11:C58810-(C4xC11:C5).1C2440,7
(C4xC11:C5).2C2 = C11:C40φ: C2/C1C2 ⊆ Out C4xC11:C58810(C4xC11:C5).2C2440,1
(C4xC11:C5).3C2 = Q8xC11:C5φ: C2/C1C2 ⊆ Out C4xC11:C58810(C4xC11:C5).3C2440,14
(C4xC11:C5).4C2 = C8xC11:C5φ: trivial image885(C4xC11:C5).4C2440,2

׿
x
:
Z
F
o
wr
Q
<