Extensions 1→N→G→Q→1 with N=C2×C10 and Q=C12

Direct product G=N×Q with N=C2×C10 and Q=C12
dρLabelID
C22×C60240C2^2xC60240,185

Semidirect products G=N:Q with N=C2×C10 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊C12 = A4×F5φ: C12/C1C12 ⊆ Aut C2×C102012+(C2xC10):C12240,193
(C2×C10)⋊2C12 = A4×Dic5φ: C12/C2C6 ⊆ Aut C2×C10606-(C2xC10):2C12240,110
(C2×C10)⋊3C12 = C3×C22⋊F5φ: C12/C3C4 ⊆ Aut C2×C10604(C2xC10):3C12240,117
(C2×C10)⋊4C12 = C2×C6×F5φ: C12/C3C4 ⊆ Aut C2×C1060(C2xC10):4C12240,200
(C2×C10)⋊5C12 = A4×C20φ: C12/C4C3 ⊆ Aut C2×C10603(C2xC10):5C12240,152
(C2×C10)⋊6C12 = C15×C22⋊C4φ: C12/C6C2 ⊆ Aut C2×C10120(C2xC10):6C12240,82
(C2×C10)⋊7C12 = C3×C23.D5φ: C12/C6C2 ⊆ Aut C2×C10120(C2xC10):7C12240,48
(C2×C10)⋊8C12 = C2×C6×Dic5φ: C12/C6C2 ⊆ Aut C2×C10240(C2xC10):8C12240,163

Non-split extensions G=N.Q with N=C2×C10 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C10).1C12 = C6×C5⋊C8φ: C12/C3C4 ⊆ Aut C2×C10240(C2xC10).1C12240,115
(C2×C10).2C12 = C3×C22.F5φ: C12/C3C4 ⊆ Aut C2×C101204(C2xC10).2C12240,116
(C2×C10).3C12 = C15×M4(2)φ: C12/C6C2 ⊆ Aut C2×C101202(C2xC10).3C12240,85
(C2×C10).4C12 = C6×C52C8φ: C12/C6C2 ⊆ Aut C2×C10240(C2xC10).4C12240,38
(C2×C10).5C12 = C3×C4.Dic5φ: C12/C6C2 ⊆ Aut C2×C101202(C2xC10).5C12240,39

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