# Extensions 1→N→G→Q→1 with N=C3×C9 and Q=C18

Direct product G=N×Q with N=C3×C9 and Q=C18
dρLabelID
C3×C9×C18486C3xC9xC18486,190

Semidirect products G=N:Q with N=C3×C9 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C3×C9)⋊1C18 = C9⋊S3⋊C9φ: C18/C3C6 ⊆ Aut C3×C954(C3xC9):1C18486,3
(C3×C9)⋊2C18 = (C3×C9)⋊C18φ: C18/C3C6 ⊆ Aut C3×C9546(C3xC9):2C18486,20
(C3×C9)⋊3C18 = C9⋊S33C9φ: C18/C3C6 ⊆ Aut C3×C9546(C3xC9):3C18486,22
(C3×C9)⋊4C18 = C3×C9⋊C18φ: C18/C3C6 ⊆ Aut C3×C954(C3xC9):4C18486,96
(C3×C9)⋊5C18 = C9⋊(S3×C9)φ: C18/C3C6 ⊆ Aut C3×C954(C3xC9):5C18486,138
(C3×C9)⋊6C18 = C923S3φ: C18/C3C6 ⊆ Aut C3×C9546(C3xC9):6C18486,139
(C3×C9)⋊7C18 = S3×C9⋊C9φ: C18/C3C6 ⊆ Aut C3×C9162(C3xC9):7C18486,97
(C3×C9)⋊8C18 = C2×C3.C92φ: C18/C6C3 ⊆ Aut C3×C9486(C3xC9):8C18486,62
(C3×C9)⋊9C18 = C2×C32.19He3φ: C18/C6C3 ⊆ Aut C3×C9162(C3xC9):9C18486,74
(C3×C9)⋊10C18 = C2×C32.20He3φ: C18/C6C3 ⊆ Aut C3×C9162(C3xC9):10C18486,75
(C3×C9)⋊11C18 = C6×C9⋊C9φ: C18/C6C3 ⊆ Aut C3×C9486(C3xC9):11C18486,192
(C3×C9)⋊12C18 = C2×C923C3φ: C18/C6C3 ⊆ Aut C3×C9162(C3xC9):12C18486,193
(C3×C9)⋊13C18 = S3×C92φ: C18/C9C2 ⊆ Aut C3×C9162(C3xC9):13C18486,92
(C3×C9)⋊14C18 = D9×C3×C9φ: C18/C9C2 ⊆ Aut C3×C954(C3xC9):14C18486,91
(C3×C9)⋊15C18 = C9×C9⋊S3φ: C18/C9C2 ⊆ Aut C3×C954(C3xC9):15C18486,133

Non-split extensions G=N.Q with N=C3×C9 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C3×C9).1C18 = C9⋊C54φ: C18/C3C6 ⊆ Aut C3×C9546(C3xC9).1C18486,30
(C3×C9).2C18 = S3×C27⋊C3φ: C18/C3C6 ⊆ Aut C3×C9546(C3xC9).2C18486,114
(C3×C9).3C18 = C2×C272C9φ: C18/C6C3 ⊆ Aut C3×C9486(C3xC9).3C18486,71
(C3×C9).4C18 = C2×C32⋊C27φ: C18/C6C3 ⊆ Aut C3×C9162(C3xC9).4C18486,72
(C3×C9).5C18 = C2×C9.4He3φ: C18/C6C3 ⊆ Aut C3×C9543(C3xC9).5C18486,76
(C3×C9).6C18 = C2×C9⋊C27φ: C18/C6C3 ⊆ Aut C3×C9486(C3xC9).6C18486,81
(C3×C9).7C18 = C2×C81⋊C3φ: C18/C6C3 ⊆ Aut C3×C91623(C3xC9).7C18486,84
(C3×C9).8C18 = C6×C27⋊C3φ: C18/C6C3 ⊆ Aut C3×C9162(C3xC9).8C18486,208
(C3×C9).9C18 = S3×C81φ: C18/C9C2 ⊆ Aut C3×C91622(C3xC9).9C18486,33
(C3×C9).10C18 = S3×C3×C27φ: C18/C9C2 ⊆ Aut C3×C9162(C3xC9).10C18486,112
(C3×C9).11C18 = D9×C27φ: C18/C9C2 ⊆ Aut C3×C9542(C3xC9).11C18486,14

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