Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C10

Direct product G=N×Q with N=C6 and Q=C2×C10

Semidirect products G=N:Q with N=C6 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C6⋊(C2×C10) = S3×C2×C10φ: C2×C10/C10C2 ⊆ Aut C660C6:(C2xC10)120,45

Non-split extensions G=N.Q with N=C6 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C10) = C5×Dic6φ: C2×C10/C10C2 ⊆ Aut C61202C6.1(C2xC10)120,21
C6.2(C2×C10) = S3×C20φ: C2×C10/C10C2 ⊆ Aut C6602C6.2(C2xC10)120,22
C6.3(C2×C10) = C5×D12φ: C2×C10/C10C2 ⊆ Aut C6602C6.3(C2xC10)120,23
C6.4(C2×C10) = C10×Dic3φ: C2×C10/C10C2 ⊆ Aut C6120C6.4(C2xC10)120,24
C6.5(C2×C10) = C5×C3⋊D4φ: C2×C10/C10C2 ⊆ Aut C6602C6.5(C2xC10)120,25
C6.6(C2×C10) = D4×C15central extension (φ=1)602C6.6(C2xC10)120,32
C6.7(C2×C10) = Q8×C15central extension (φ=1)1202C6.7(C2xC10)120,33