Extensions 1→N→G→Q→1 with N=C32 and Q=C23×C6

Direct product G=N×Q with N=C32 and Q=C23×C6

Semidirect products G=N:Q with N=C32 and Q=C23×C6
extensionφ:Q→Aut NdρLabelID
C32⋊(C23×C6) = C23×C32⋊C6φ: C23×C6/C23C6 ⊆ Aut C3272C3^2:(C2^3xC6)432,558
C322(C23×C6) = S32×C2×C6φ: C23×C6/C2×C6C22 ⊆ Aut C3248C3^2:2(C2^3xC6)432,767
C323(C23×C6) = C24×He3φ: C23×C6/C24C3 ⊆ Aut C32144C3^2:3(C2^3xC6)432,563
C324(C23×C6) = S3×C2×C62φ: C23×C6/C22×C6C2 ⊆ Aut C32144C3^2:4(C2^3xC6)432,772
C325(C23×C6) = C3⋊S3×C22×C6φ: C23×C6/C22×C6C2 ⊆ Aut C32144C3^2:5(C2^3xC6)432,773

Non-split extensions G=N.Q with N=C32 and Q=C23×C6
extensionφ:Q→Aut NdρLabelID
C32.(C23×C6) = C24×3- 1+2φ: C23×C6/C24C3 ⊆ Aut C32144C3^2.(C2^3xC6)432,564
C32.2(C23×C6) = S3×C22×C18φ: C23×C6/C22×C6C2 ⊆ Aut C32144C3^2.2(C2^3xC6)432,557