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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C3×S3

Direct product G=N×Q with N=C2×C6 and Q=C3×S3
dρLabelID
S3×C6272S3xC6^2216,174

Semidirect products G=N:Q with N=C2×C6 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1(C3×S3) = C32×S4φ: C3×S3/C3 → S3 ⊆ Aut C2×C636(C2xC6):1(C3xS3)216,163
(C2×C6)⋊2(C3×S3) = C3×C3⋊S4φ: C3×S3/C3 → S3 ⊆ Aut C2×C6246(C2xC6):2(C3xS3)216,164
(C2×C6)⋊3(C3×S3) = A4×C3⋊S3φ: C3×S3/C3 → C6 ⊆ Aut C2×C636(C2xC6):3(C3xS3)216,167
(C2×C6)⋊4(C3×S3) = C3×S3×A4φ: C3×S3/S3 → C3 ⊆ Aut C2×C6246(C2xC6):4(C3xS3)216,166
(C2×C6)⋊5(C3×S3) = C32×C3⋊D4φ: C3×S3/C32 → C2 ⊆ Aut C2×C636(C2xC6):5(C3xS3)216,139
(C2×C6)⋊6(C3×S3) = C3×C32⋊7D4φ: C3×S3/C32 → C2 ⊆ Aut C2×C636(C2xC6):6(C3xS3)216,144
(C2×C6)⋊7(C3×S3) = C2×C6×C3⋊S3φ: C3×S3/C32 → C2 ⊆ Aut C2×C672(C2xC6):7(C3xS3)216,175

Non-split extensions G=N.Q with N=C2×C6 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
(C2×C6).1(C3×S3) = C9×S4φ: C3×S3/C3 → S3 ⊆ Aut C2×C6363(C2xC6).1(C3xS3)216,89
(C2×C6).2(C3×S3) = C32.S4φ: C3×S3/C3 → S3 ⊆ Aut C2×C6186+(C2xC6).2(C3xS3)216,90
(C2×C6).3(C3×S3) = C3×C3.S4φ: C3×S3/C3 → S3 ⊆ Aut C2×C6366(C2xC6).3(C3xS3)216,91
(C2×C6).4(C3×S3) = C62⋊S3φ: C3×S3/C3 → S3 ⊆ Aut C2×C6186+(C2xC6).4(C3xS3)216,92
(C2×C6).5(C3×S3) = D9⋊A4φ: C3×S3/C3 → C6 ⊆ Aut C2×C6366+(C2xC6).5(C3xS3)216,96
(C2×C6).6(C3×S3) = A4×D9φ: C3×S3/C3 → C6 ⊆ Aut C2×C6366+(C2xC6).6(C3xS3)216,97
(C2×C6).7(C3×S3) = C62⋊C6φ: C3×S3/C3 → C6 ⊆ Aut C2×C6186+(C2xC6).7(C3xS3)216,99
(C2×C6).8(C3×S3) = S3×C3.A4φ: C3×S3/S3 → C3 ⊆ Aut C2×C6366(C2xC6).8(C3xS3)216,98
(C2×C6).9(C3×S3) = C9×C3⋊D4φ: C3×S3/C32 → C2 ⊆ Aut C2×C6362(C2xC6).9(C3xS3)216,58
(C2×C6).10(C3×S3) = C6×Dic9φ: C3×S3/C32 → C2 ⊆ Aut C2×C672(C2xC6).10(C3xS3)216,55
(C2×C6).11(C3×S3) = C3×C9⋊D4φ: C3×S3/C32 → C2 ⊆ Aut C2×C6362(C2xC6).11(C3xS3)216,57
(C2×C6).12(C3×S3) = C2×C32⋊C12φ: C3×S3/C32 → C2 ⊆ Aut C2×C672(C2xC6).12(C3xS3)216,59
(C2×C6).13(C3×S3) = He3⋊6D4φ: C3×S3/C32 → C2 ⊆ Aut C2×C6366(C2xC6).13(C3xS3)216,60
(C2×C6).14(C3×S3) = C2×C9⋊C12φ: C3×S3/C32 → C2 ⊆ Aut C2×C672(C2xC6).14(C3xS3)216,61
(C2×C6).15(C3×S3) = Dic9⋊C6φ: C3×S3/C32 → C2 ⊆ Aut C2×C6366(C2xC6).15(C3xS3)216,62
(C2×C6).16(C3×S3) = C2×C6×D9φ: C3×S3/C32 → C2 ⊆ Aut C2×C672(C2xC6).16(C3xS3)216,108
(C2×C6).17(C3×S3) = C22×C32⋊C6φ: C3×S3/C32 → C2 ⊆ Aut C2×C636(C2xC6).17(C3xS3)216,110
(C2×C6).18(C3×S3) = C22×C9⋊C6φ: C3×S3/C32 → C2 ⊆ Aut C2×C636(C2xC6).18(C3xS3)216,111
(C2×C6).19(C3×S3) = C6×C3⋊Dic3φ: C3×S3/C32 → C2 ⊆ Aut C2×C672(C2xC6).19(C3xS3)216,143
(C2×C6).20(C3×S3) = Dic3×C18central extension (φ=1)72(C2xC6).20(C3xS3)216,56
(C2×C6).21(C3×S3) = S3×C2×C18central extension (φ=1)72(C2xC6).21(C3xS3)216,109
(C2×C6).22(C3×S3) = Dic3×C3×C6central extension (φ=1)72(C2xC6).22(C3xS3)216,138

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