Extensions 1→N→G→Q→1 with N=C144 and Q=C2

Direct product G=NxQ with N=C144 and Q=C2
dρLabelID
C2xC144288C2xC144288,59

Semidirect products G=N:Q with N=C144 and Q=C2
extensionφ:Q→Aut NdρLabelID
C144:1C2 = D144φ: C2/C1C2 ⊆ Aut C1441442+C144:1C2288,6
C144:2C2 = C144:C2φ: C2/C1C2 ⊆ Aut C1441442C144:2C2288,7
C144:3C2 = C16xD9φ: C2/C1C2 ⊆ Aut C1441442C144:3C2288,4
C144:4C2 = C16:D9φ: C2/C1C2 ⊆ Aut C1441442C144:4C2288,5
C144:5C2 = C9xD16φ: C2/C1C2 ⊆ Aut C1441442C144:5C2288,61
C144:6C2 = C9xSD32φ: C2/C1C2 ⊆ Aut C1441442C144:6C2288,62
C144:7C2 = C9xM5(2)φ: C2/C1C2 ⊆ Aut C1441442C144:7C2288,60

Non-split extensions G=N.Q with N=C144 and Q=C2
extensionφ:Q→Aut NdρLabelID
C144.1C2 = Dic72φ: C2/C1C2 ⊆ Aut C1442882-C144.1C2288,8
C144.2C2 = C9:C32φ: C2/C1C2 ⊆ Aut C1442882C144.2C2288,1
C144.3C2 = C9xQ32φ: C2/C1C2 ⊆ Aut C1442882C144.3C2288,63

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