Extensions 1→N→G→Q→1 with N=D72 and Q=C2

Direct product G=N×Q with N=D72 and Q=C2

Semidirect products G=N:Q with N=D72 and Q=C2
extensionφ:Q→Out NdρLabelID
D721C2 = D144φ: C2/C1C2 ⊆ Out D721442+D72:1C2288,6
D722C2 = C8⋊D18φ: C2/C1C2 ⊆ Out D72724+D72:2C2288,118
D723C2 = C9⋊D16φ: C2/C1C2 ⊆ Out D721444+D72:3C2288,33
D724C2 = D8×D9φ: C2/C1C2 ⊆ Out D72724+D72:4C2288,120
D725C2 = D725C2φ: C2/C1C2 ⊆ Out D721444+D72:5C2288,129
D726C2 = D72⋊C2φ: C2/C1C2 ⊆ Out D72724+D72:6C2288,124
D727C2 = D727C2φ: trivial image1442D72:7C2288,115

Non-split extensions G=N.Q with N=D72 and Q=C2
extensionφ:Q→Out NdρLabelID
D72.1C2 = C144⋊C2φ: C2/C1C2 ⊆ Out D721442D72.1C2288,7
D72.2C2 = C9⋊SD32φ: C2/C1C2 ⊆ Out D721444+D72.2C2288,35