Extensions 1→N→G→Q→1 with N=C44 and Q=C2

Direct product G=NxQ with N=C44 and Q=C2
dρLabelID
C2xC4488C2xC4488,8

Semidirect products G=N:Q with N=C44 and Q=C2
extensionφ:Q→Aut NdρLabelID
C44:1C2 = D44φ: C2/C1C2 ⊆ Aut C44442+C44:1C288,5
C44:2C2 = C4xD11φ: C2/C1C2 ⊆ Aut C44442C44:2C288,4
C44:3C2 = D4xC11φ: C2/C1C2 ⊆ Aut C44442C44:3C288,9

Non-split extensions G=N.Q with N=C44 and Q=C2
extensionφ:Q→Aut NdρLabelID
C44.1C2 = Dic22φ: C2/C1C2 ⊆ Aut C44882-C44.1C288,3
C44.2C2 = C11:C8φ: C2/C1C2 ⊆ Aut C44882C44.2C288,1
C44.3C2 = Q8xC11φ: C2/C1C2 ⊆ Aut C44882C44.3C288,10

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