# Extensions 1→N→G→Q→1 with N=C32 and Q=D12

Direct product G=N×Q with N=C32 and Q=D12
dρLabelID
C32×D1272C3^2xD12216,137

Semidirect products G=N:Q with N=C32 and Q=D12
extensionφ:Q→Aut NdρLabelID
C32⋊D12 = He33D4φ: D12/C2D6 ⊆ Aut C32366C3^2:D12216,37
C322D12 = C322D12φ: D12/C3D4 ⊆ Aut C32128+C3^2:2D12216,159
C323D12 = He34D4φ: D12/C4S3 ⊆ Aut C32366+C3^2:3D12216,51
C324D12 = He35D4φ: D12/C4S3 ⊆ Aut C32366C3^2:4D12216,68
C325D12 = C338D4φ: D12/C6C22 ⊆ Aut C3236C3^2:5D12216,129
C326D12 = C339D4φ: D12/C6C22 ⊆ Aut C32244C3^2:6D12216,132
C327D12 = C3×C12⋊S3φ: D12/C12C2 ⊆ Aut C3272C3^2:7D12216,142
C328D12 = C3312D4φ: D12/C12C2 ⊆ Aut C32108C3^2:8D12216,147
C329D12 = C3×C3⋊D12φ: D12/D6C2 ⊆ Aut C32244C3^2:9D12216,122
C3210D12 = C337D4φ: D12/D6C2 ⊆ Aut C3236C3^2:10D12216,128

Non-split extensions G=N.Q with N=C32 and Q=D12
extensionφ:Q→Aut NdρLabelID
C32.D12 = D36⋊C3φ: D12/C4S3 ⊆ Aut C32366+C3^2.D12216,54
C32.2D12 = C3⋊D36φ: D12/C6C22 ⊆ Aut C32364+C3^2.2D12216,29
C32.3D12 = C3×D36φ: D12/C12C2 ⊆ Aut C32722C3^2.3D12216,46
C32.4D12 = C36⋊S3φ: D12/C12C2 ⊆ Aut C32108C3^2.4D12216,65

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