Extensions 1→N→G→Q→1 with N=D44 and Q=C4

Direct product G=NxQ with N=D44 and Q=C4
dρLabelID
C4xD44176C4xD44352,68

Semidirect products G=N:Q with N=D44 and Q=C4
extensionφ:Q→Out NdρLabelID
D44:1C4 = D44:1C4φ: C4/C2C2 ⊆ Out D44882D44:1C4352,11
D44:2C4 = C2.D88φ: C4/C2C2 ⊆ Out D44176D44:2C4352,27
D44:3C4 = C22.D8φ: C4/C2C2 ⊆ Out D44176D44:3C4352,15
D44:4C4 = D44:4C4φ: C4/C2C2 ⊆ Out D44884D44:4C4352,31
D44:5C4 = D44:C4φ: C4/C2C2 ⊆ Out D44176D44:5C4352,88

Non-split extensions G=N.Q with N=D44 and Q=C4
extensionφ:Q→Out NdρLabelID
D44.C4 = D44.C4φ: C4/C2C2 ⊆ Out D441764D44.C4352,102
D44.2C4 = D44.2C4φ: trivial image1762D44.2C4352,96

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