Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C20

Direct product G=N×Q with N=C3×C6 and Q=C20
dρLabelID
C6×C60360C6xC60360,115

Semidirect products G=N:Q with N=C3×C6 and Q=C20
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊C20 = C10×C32⋊C4φ: C20/C5C4 ⊆ Aut C3×C6604(C3xC6):C20360,148
(C3×C6)⋊2C20 = Dic3×C30φ: C20/C10C2 ⊆ Aut C3×C6120(C3xC6):2C20360,98
(C3×C6)⋊3C20 = C10×C3⋊Dic3φ: C20/C10C2 ⊆ Aut C3×C6360(C3xC6):3C20360,108

Non-split extensions G=N.Q with N=C3×C6 and Q=C20
extensionφ:Q→Aut NdρLabelID
(C3×C6).C20 = C5×C322C8φ: C20/C5C4 ⊆ Aut C3×C61204(C3xC6).C20360,55
(C3×C6).2C20 = C15×C3⋊C8φ: C20/C10C2 ⊆ Aut C3×C61202(C3xC6).2C20360,34
(C3×C6).3C20 = C5×C324C8φ: C20/C10C2 ⊆ Aut C3×C6360(C3xC6).3C20360,36

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