Extensions 1→N→G→Q→1 with N=C32 and Q=C4×C12

Direct product G=N×Q with N=C32 and Q=C4×C12

Semidirect products G=N:Q with N=C32 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C32⋊(C4×C12) = C4×C32⋊C12φ: C4×C12/C2×C4C6 ⊆ Aut C32144C3^2:(C4xC12)432,138
C322(C4×C12) = C12×C32⋊C4φ: C4×C12/C12C4 ⊆ Aut C32484C3^2:2(C4xC12)432,630
C323(C4×C12) = C3×Dic32φ: C4×C12/C2×C6C22 ⊆ Aut C3248C3^2:3(C4xC12)432,425
C324(C4×C12) = C42×He3φ: C4×C12/C42C3 ⊆ Aut C32144C3^2:4(C4xC12)432,201
C325(C4×C12) = Dic3×C3×C12φ: C4×C12/C2×C12C2 ⊆ Aut C32144C3^2:5(C4xC12)432,471
C326(C4×C12) = C12×C3⋊Dic3φ: C4×C12/C2×C12C2 ⊆ Aut C32144C3^2:6(C4xC12)432,487

Non-split extensions G=N.Q with N=C32 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C32.(C4×C12) = C42×3- 1+2φ: C4×C12/C42C3 ⊆ Aut C32144C3^2.(C4xC12)432,202
C32.2(C4×C12) = Dic3×C36φ: C4×C12/C2×C12C2 ⊆ Aut C32144C3^2.2(C4xC12)432,131