Extensions 1→N→G→Q→1 with N=C6 and Q=C8.C4

Direct product G=N×Q with N=C6 and Q=C8.C4

Semidirect products G=N:Q with N=C6 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C61(C8.C4) = C2×C24.C4φ: C8.C4/C2×C8C2 ⊆ Aut C696C6:1(C8.C4)192,666
C62(C8.C4) = C2×C12.53D4φ: C8.C4/M4(2)C2 ⊆ Aut C696C6:2(C8.C4)192,682

Non-split extensions G=N.Q with N=C6 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C6.1(C8.C4) = C242C8φ: C8.C4/C2×C8C2 ⊆ Aut C6192C6.1(C8.C4)192,16
C6.2(C8.C4) = C241C8φ: C8.C4/C2×C8C2 ⊆ Aut C6192C6.2(C8.C4)192,17
C6.3(C8.C4) = C12.10C42φ: C8.C4/C2×C8C2 ⊆ Aut C696C6.3(C8.C4)192,111
C6.4(C8.C4) = C12.53D8φ: C8.C4/M4(2)C2 ⊆ Aut C6192C6.4(C8.C4)192,38
C6.5(C8.C4) = C12.39SD16φ: C8.C4/M4(2)C2 ⊆ Aut C6192C6.5(C8.C4)192,39
C6.6(C8.C4) = C12.4C42φ: C8.C4/M4(2)C2 ⊆ Aut C696C6.6(C8.C4)192,117
C6.7(C8.C4) = C3×C82C8central extension (φ=1)192C6.7(C8.C4)192,140
C6.8(C8.C4) = C3×C81C8central extension (φ=1)192C6.8(C8.C4)192,141
C6.9(C8.C4) = C3×C4.C42central extension (φ=1)96C6.9(C8.C4)192,147