Extensions 1→N→G→Q→1 with N=C6 and Q=Q32

Direct product G=N×Q with N=C6 and Q=Q32

Semidirect products G=N:Q with N=C6 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C61Q32 = C2×Dic24φ: Q32/C16C2 ⊆ Aut C6192C6:1Q32192,464
C62Q32 = C2×C3⋊Q32φ: Q32/Q16C2 ⊆ Aut C6192C6:2Q32192,739

Non-split extensions G=N.Q with N=C6 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C6.1Q32 = C2.Dic24φ: Q32/C16C2 ⊆ Aut C6192C6.1Q32192,62
C6.2Q32 = C485C4φ: Q32/C16C2 ⊆ Aut C6192C6.2Q32192,63
C6.3Q32 = C6.6D16φ: Q32/Q16C2 ⊆ Aut C6192C6.3Q32192,48
C6.4Q32 = C6.Q32φ: Q32/Q16C2 ⊆ Aut C6192C6.4Q32192,51
C6.5Q32 = C6.5Q32φ: Q32/Q16C2 ⊆ Aut C6192C6.5Q32192,123
C6.6Q32 = C3×C2.Q32central extension (φ=1)192C6.6Q32192,164
C6.7Q32 = C3×C163C4central extension (φ=1)192C6.7Q32192,172