Extensions 1→N→G→Q→1 with N=C4 and Q=C324Q8

Direct product G=N×Q with N=C4 and Q=C324Q8

Semidirect products G=N:Q with N=C4 and Q=C324Q8
extensionφ:Q→Aut NdρLabelID
C41(C324Q8) = C122Dic6φ: C324Q8/C3⋊Dic3C2 ⊆ Aut C4288C4:1(C3^2:4Q8)288,745
C42(C324Q8) = C126Dic6φ: C324Q8/C3×C12C2 ⊆ Aut C4288C4:2(C3^2:4Q8)288,726

Non-split extensions G=N.Q with N=C4 and Q=C324Q8
extensionφ:Q→Aut NdρLabelID
C4.1(C324Q8) = C12.9Dic6φ: C324Q8/C3⋊Dic3C2 ⊆ Aut C4288C4.1(C3^2:4Q8)288,282
C4.2(C324Q8) = C12.10Dic6φ: C324Q8/C3⋊Dic3C2 ⊆ Aut C4288C4.2(C3^2:4Q8)288,283
C4.3(C324Q8) = C62.234C23φ: C324Q8/C3⋊Dic3C2 ⊆ Aut C4288C4.3(C3^2:4Q8)288,747
C4.4(C324Q8) = C242Dic3φ: C324Q8/C3×C12C2 ⊆ Aut C4288C4.4(C3^2:4Q8)288,292
C4.5(C324Q8) = C241Dic3φ: C324Q8/C3×C12C2 ⊆ Aut C4288C4.5(C3^2:4Q8)288,293
C4.6(C324Q8) = C12.25Dic6φ: C324Q8/C3×C12C2 ⊆ Aut C4288C4.6(C3^2:4Q8)288,727
C4.7(C324Q8) = C12.57D12central extension (φ=1)288C4.7(C3^2:4Q8)288,279
C4.8(C324Q8) = C12.30Dic6central extension (φ=1)288C4.8(C3^2:4Q8)288,289