Extensions 1→N→G→Q→1 with N=C2xC4 and Q=D11

Direct product G=NxQ with N=C2xC4 and Q=D11
dρLabelID
C2xC4xD1188C2xC4xD11176,28

Semidirect products G=N:Q with N=C2xC4 and Q=D11
extensionφ:Q→Aut NdρLabelID
(C2xC4):1D11 = D22:C4φ: D11/C11C2 ⊆ Aut C2xC488(C2xC4):1D11176,13
(C2xC4):2D11 = C2xD44φ: D11/C11C2 ⊆ Aut C2xC488(C2xC4):2D11176,29
(C2xC4):3D11 = D44:5C2φ: D11/C11C2 ⊆ Aut C2xC4882(C2xC4):3D11176,30

Non-split extensions G=N.Q with N=C2xC4 and Q=D11
extensionφ:Q→Aut NdρLabelID
(C2xC4).1D11 = Dic11:C4φ: D11/C11C2 ⊆ Aut C2xC4176(C2xC4).1D11176,11
(C2xC4).2D11 = C44.C4φ: D11/C11C2 ⊆ Aut C2xC4882(C2xC4).2D11176,9
(C2xC4).3D11 = C44:C4φ: D11/C11C2 ⊆ Aut C2xC4176(C2xC4).3D11176,12
(C2xC4).4D11 = C2xDic22φ: D11/C11C2 ⊆ Aut C2xC4176(C2xC4).4D11176,27
(C2xC4).5D11 = C2xC11:C8central extension (φ=1)176(C2xC4).5D11176,8
(C2xC4).6D11 = C4xDic11central extension (φ=1)176(C2xC4).6D11176,10

׿
x
:
Z
F
o
wr
Q
<