Extensions 1→N→G→Q→1 with N=D44 and Q=C2

Direct product G=NxQ with N=D44 and Q=C2
dρLabelID
C2xD4488C2xD44176,29

Semidirect products G=N:Q with N=D44 and Q=C2
extensionφ:Q→Out NdρLabelID
D44:1C2 = D88φ: C2/C1C2 ⊆ Out D44882+D44:1C2176,6
D44:2C2 = D4:D11φ: C2/C1C2 ⊆ Out D44884+D44:2C2176,14
D44:3C2 = D4xD11φ: C2/C1C2 ⊆ Out D44444+D44:3C2176,31
D44:4C2 = D44:C2φ: C2/C1C2 ⊆ Out D44884+D44:4C2176,34
D44:5C2 = D44:5C2φ: trivial image882D44:5C2176,30

Non-split extensions G=N.Q with N=D44 and Q=C2
extensionφ:Q→Out NdρLabelID
D44.1C2 = C8:D11φ: C2/C1C2 ⊆ Out D44882D44.1C2176,5
D44.2C2 = Q8:D11φ: C2/C1C2 ⊆ Out D44884+D44.2C2176,16

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