Extensions 1→N→G→Q→1 with N=C33 and Q=C2×C4

Direct product G=N×Q with N=C33 and Q=C2×C4
dρLabelID
C3×C6×C12216C3xC6xC12216,150

Semidirect products G=N:Q with N=C33 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C33⋊(C2×C4) = S3×C32⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C33128+C3^3:(C2xC4)216,156
C33⋊2(C2×C4) = C6×C32⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C33244C3^3:2(C2xC4)216,168
C33⋊3(C2×C4) = C2×C33⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C33244C3^3:3(C2xC4)216,169
C33⋊4(C2×C4) = C3×S3×Dic3φ: C2×C4/C2 → C22 ⊆ Aut C33244C3^3:4(C2xC4)216,119
C33⋊5(C2×C4) = C3×C6.D6φ: C2×C4/C2 → C22 ⊆ Aut C33244C3^3:5(C2xC4)216,120
C33⋊6(C2×C4) = S3×C3⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C3372C3^3:6(C2xC4)216,124
C33⋊7(C2×C4) = Dic3×C3⋊S3φ: C2×C4/C2 → C22 ⊆ Aut C3372C3^3:7(C2xC4)216,125
C33⋊8(C2×C4) = C33⋊8(C2×C4)φ: C2×C4/C2 → C22 ⊆ Aut C3336C3^3:8(C2xC4)216,126
C33⋊9(C2×C4) = C33⋊9(C2×C4)φ: C2×C4/C2 → C22 ⊆ Aut C33244C3^3:9(C2xC4)216,131
C33⋊10(C2×C4) = S3×C3×C12φ: C2×C4/C4 → C2 ⊆ Aut C3372C3^3:10(C2xC4)216,136
C33⋊11(C2×C4) = C12×C3⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C3372C3^3:11(C2xC4)216,141
C33⋊12(C2×C4) = C4×C33⋊C2φ: C2×C4/C4 → C2 ⊆ Aut C33108C3^3:12(C2xC4)216,146
C33⋊13(C2×C4) = Dic3×C3×C6φ: C2×C4/C22 → C2 ⊆ Aut C3372C3^3:13(C2xC4)216,138
C33⋊14(C2×C4) = C6×C3⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C3372C3^3:14(C2xC4)216,143
C33⋊15(C2×C4) = C2×C33⋊5C4φ: C2×C4/C22 → C2 ⊆ Aut C33216C3^3:15(C2xC4)216,148


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