# Extensions 1→N→G→Q→1 with N=C32 and Q=C3×M4(2)

Direct product G=N×Q with N=C32 and Q=C3×M4(2)
dρLabelID
M4(2)×C33216M4(2)xC3^3432,516

Semidirect products G=N:Q with N=C32 and Q=C3×M4(2)
extensionφ:Q→Aut NdρLabelID
C321(C3×M4(2)) = He35M4(2)φ: C3×M4(2)/C8C6 ⊆ Aut C32726C3^2:1(C3xM4(2))432,116
C322(C3×M4(2)) = He37M4(2)φ: C3×M4(2)/C2×C4C6 ⊆ Aut C32726C3^2:2(C3xM4(2))432,137
C323(C3×M4(2)) = C3×C32⋊M4(2)φ: C3×M4(2)/C12C4 ⊆ Aut C32484C3^2:3(C3xM4(2))432,629
C324(C3×M4(2)) = C3×D6.Dic3φ: C3×M4(2)/C12C22 ⊆ Aut C32484C3^2:4(C3xM4(2))432,416
C325(C3×M4(2)) = C3×C12.31D6φ: C3×M4(2)/C12C22 ⊆ Aut C32484C3^2:5(C3xM4(2))432,417
C326(C3×M4(2)) = C3×C62.C4φ: C3×M4(2)/C2×C6C4 ⊆ Aut C32244C3^2:6(C3xM4(2))432,633
C327(C3×M4(2)) = M4(2)×He3φ: C3×M4(2)/M4(2)C3 ⊆ Aut C32726C3^2:7(C3xM4(2))432,213
C328(C3×M4(2)) = C32×C8⋊S3φ: C3×M4(2)/C24C2 ⊆ Aut C32144C3^2:8(C3xM4(2))432,465
C329(C3×M4(2)) = C3×C24⋊S3φ: C3×M4(2)/C24C2 ⊆ Aut C32144C3^2:9(C3xM4(2))432,481
C3210(C3×M4(2)) = C32×C4.Dic3φ: C3×M4(2)/C2×C12C2 ⊆ Aut C3272C3^2:10(C3xM4(2))432,470
C3211(C3×M4(2)) = C3×C12.58D6φ: C3×M4(2)/C2×C12C2 ⊆ Aut C3272C3^2:11(C3xM4(2))432,486

Non-split extensions G=N.Q with N=C32 and Q=C3×M4(2)
extensionφ:Q→Aut NdρLabelID
C32.(C3×M4(2)) = M4(2)×3- 1+2φ: C3×M4(2)/M4(2)C3 ⊆ Aut C32726C3^2.(C3xM4(2))432,214
C32.2(C3×M4(2)) = C9×C8⋊S3φ: C3×M4(2)/C24C2 ⊆ Aut C321442C3^2.2(C3xM4(2))432,110
C32.3(C3×M4(2)) = C9×C4.Dic3φ: C3×M4(2)/C2×C12C2 ⊆ Aut C32722C3^2.3(C3xM4(2))432,127
C32.4(C3×M4(2)) = M4(2)×C3×C9central extension (φ=1)216C3^2.4(C3xM4(2))432,212

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