Extensions 1→N→G→Q→1 with N=C10 and Q=Q32

Direct product G=N×Q with N=C10 and Q=Q32

Semidirect products G=N:Q with N=C10 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C101Q32 = C2×Dic40φ: Q32/C16C2 ⊆ Aut C10320C10:1Q32320,532
C102Q32 = C2×C5⋊Q32φ: Q32/Q16C2 ⊆ Aut C10320C10:2Q32320,807

Non-split extensions G=N.Q with N=C10 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C10.1Q32 = C40.78D4φ: Q32/C16C2 ⊆ Aut C10320C10.1Q32320,61
C10.2Q32 = C8013C4φ: Q32/C16C2 ⊆ Aut C10320C10.2Q32320,62
C10.3Q32 = C40.2Q8φ: Q32/Q16C2 ⊆ Aut C10320C10.3Q32320,47
C10.4Q32 = C10.Q32φ: Q32/Q16C2 ⊆ Aut C10320C10.4Q32320,50
C10.5Q32 = C40.15D4φ: Q32/Q16C2 ⊆ Aut C10320C10.5Q32320,122
C10.6Q32 = C5×C2.Q32central extension (φ=1)320C10.6Q32320,163
C10.7Q32 = C5×C163C4central extension (φ=1)320C10.7Q32320,171