# 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/C1C2×C4 ⊆ Aut C33128+C3^3:(C2xC4)216,156
C332(C2×C4) = C6×C32⋊C4φ: C2×C4/C2C4 ⊆ Aut C33244C3^3:2(C2xC4)216,168
C333(C2×C4) = C2×C33⋊C4φ: C2×C4/C2C4 ⊆ Aut C33244C3^3:3(C2xC4)216,169
C334(C2×C4) = C3×S3×Dic3φ: C2×C4/C2C22 ⊆ Aut C33244C3^3:4(C2xC4)216,119
C335(C2×C4) = C3×C6.D6φ: C2×C4/C2C22 ⊆ Aut C33244C3^3:5(C2xC4)216,120
C336(C2×C4) = S3×C3⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3372C3^3:6(C2xC4)216,124
C337(C2×C4) = Dic3×C3⋊S3φ: C2×C4/C2C22 ⊆ Aut C3372C3^3:7(C2xC4)216,125
C338(C2×C4) = C338(C2×C4)φ: C2×C4/C2C22 ⊆ Aut C3336C3^3:8(C2xC4)216,126
C339(C2×C4) = C339(C2×C4)φ: C2×C4/C2C22 ⊆ Aut C33244C3^3:9(C2xC4)216,131
C3310(C2×C4) = S3×C3×C12φ: C2×C4/C4C2 ⊆ Aut C3372C3^3:10(C2xC4)216,136
C3311(C2×C4) = C12×C3⋊S3φ: C2×C4/C4C2 ⊆ Aut C3372C3^3:11(C2xC4)216,141
C3312(C2×C4) = C4×C33⋊C2φ: C2×C4/C4C2 ⊆ Aut C33108C3^3:12(C2xC4)216,146
C3313(C2×C4) = Dic3×C3×C6φ: C2×C4/C22C2 ⊆ Aut C3372C3^3:13(C2xC4)216,138
C3314(C2×C4) = C6×C3⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C3372C3^3:14(C2xC4)216,143
C3315(C2×C4) = C2×C335C4φ: C2×C4/C22C2 ⊆ Aut C33216C3^3:15(C2xC4)216,148

׿
×
𝔽