Extensions 1→N→G→Q→1 with N=C4xD11 and Q=C4

Direct product G=NxQ with N=C4xD11 and Q=C4
dρLabelID
C42xD11176C4^2xD11352,66

Semidirect products G=N:Q with N=C4xD11 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4xD11):1C4 = C4:C4xD11φ: C4/C2C2 ⊆ Out C4xD11176(C4xD11):1C4352,86
(C4xD11):2C4 = C4:C4:7D11φ: C4/C2C2 ⊆ Out C4xD11176(C4xD11):2C4352,87
(C4xD11):3C4 = C42:D11φ: C4/C2C2 ⊆ Out C4xD11176(C4xD11):3C4352,67

Non-split extensions G=N.Q with N=C4xD11 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4xD11).1C4 = M4(2)xD11φ: C4/C2C2 ⊆ Out C4xD11884(C4xD11).1C4352,101
(C4xD11).2C4 = D22.C8φ: C4/C2C2 ⊆ Out C4xD111762(C4xD11).2C4352,4
(C4xD11).3C4 = C2xC88:C2φ: C4/C2C2 ⊆ Out C4xD11176(C4xD11).3C4352,95
(C4xD11).4C4 = C16xD11φ: trivial image1762(C4xD11).4C4352,3
(C4xD11).5C4 = C2xC8xD11φ: trivial image176(C4xD11).5C4352,94

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