# Extensions 1→N→G→Q→1 with N=C3×C9 and Q=C2×C6

Direct product G=N×Q with N=C3×C9 and Q=C2×C6
dρLabelID
C3×C6×C18324C3xC6xC18324,151

Semidirect products G=N:Q with N=C3×C9 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C3×C9)⋊(C2×C6) = S3×C9⋊C6φ: C2×C6/C1C2×C6 ⊆ Aut C3×C91812+(C3xC9):(C2xC6)324,118
(C3×C9)⋊2(C2×C6) = C2×C32⋊D9φ: C2×C6/C2C6 ⊆ Aut C3×C954(C3xC9):2(C2xC6)324,63
(C3×C9)⋊3(C2×C6) = C2×He3.S3φ: C2×C6/C2C6 ⊆ Aut C3×C9546+(C3xC9):3(C2xC6)324,71
(C3×C9)⋊4(C2×C6) = C2×He3.2S3φ: C2×C6/C2C6 ⊆ Aut C3×C9546+(C3xC9):4(C2xC6)324,73
(C3×C9)⋊5(C2×C6) = C6×C9⋊C6φ: C2×C6/C2C6 ⊆ Aut C3×C9366(C3xC9):5(C2xC6)324,140
(C3×C9)⋊6(C2×C6) = C2×C33.S3φ: C2×C6/C2C6 ⊆ Aut C3×C954(C3xC9):6(C2xC6)324,146
(C3×C9)⋊7(C2×C6) = C2×He3.4S3φ: C2×C6/C2C6 ⊆ Aut C3×C9546+(C3xC9):7(C2xC6)324,147
(C3×C9)⋊8(C2×C6) = C2×S3×3- 1+2φ: C2×C6/C2C6 ⊆ Aut C3×C9366(C3xC9):8(C2xC6)324,141
(C3×C9)⋊9(C2×C6) = C3×S3×D9φ: C2×C6/C3C22 ⊆ Aut C3×C9364(C3xC9):9(C2xC6)324,114
(C3×C9)⋊10(C2×C6) = C22×C32⋊C9φ: C2×C6/C22C3 ⊆ Aut C3×C9108(C3xC9):10(C2xC6)324,82
(C3×C9)⋊11(C2×C6) = C22×He3.C3φ: C2×C6/C22C3 ⊆ Aut C3×C9108(C3xC9):11(C2xC6)324,87
(C3×C9)⋊12(C2×C6) = C22×He3⋊C3φ: C2×C6/C22C3 ⊆ Aut C3×C9108(C3xC9):12(C2xC6)324,88
(C3×C9)⋊13(C2×C6) = C2×C6×3- 1+2φ: C2×C6/C22C3 ⊆ Aut C3×C9108(C3xC9):13(C2xC6)324,153
(C3×C9)⋊14(C2×C6) = C22×C9○He3φ: C2×C6/C22C3 ⊆ Aut C3×C9108(C3xC9):14(C2xC6)324,154
(C3×C9)⋊15(C2×C6) = S3×C3×C18φ: C2×C6/C6C2 ⊆ Aut C3×C9108(C3xC9):15(C2xC6)324,137
(C3×C9)⋊16(C2×C6) = D9×C3×C6φ: C2×C6/C6C2 ⊆ Aut C3×C9108(C3xC9):16(C2xC6)324,136
(C3×C9)⋊17(C2×C6) = C6×C9⋊S3φ: C2×C6/C6C2 ⊆ Aut C3×C9108(C3xC9):17(C2xC6)324,142

Non-split extensions G=N.Q with N=C3×C9 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C3×C9).(C2×C6) = C2×C9⋊C18φ: C2×C6/C2C6 ⊆ Aut C3×C9366(C3xC9).(C2xC6)324,64
(C3×C9).2(C2×C6) = C22×C3.He3φ: C2×C6/C22C3 ⊆ Aut C3×C9108(C3xC9).2(C2xC6)324,89
(C3×C9).3(C2×C6) = C22×C9⋊C9φ: C2×C6/C22C3 ⊆ Aut C3×C9324(C3xC9).3(C2xC6)324,83
(C3×C9).4(C2×C6) = C22×C27⋊C3φ: C2×C6/C22C3 ⊆ Aut C3×C9108(C3xC9).4(C2xC6)324,85
(C3×C9).5(C2×C6) = S3×C54φ: C2×C6/C6C2 ⊆ Aut C3×C91082(C3xC9).5(C2xC6)324,66
(C3×C9).6(C2×C6) = D9×C18φ: C2×C6/C6C2 ⊆ Aut C3×C9362(C3xC9).6(C2xC6)324,61

׿
×
𝔽