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

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

Semidirect products G=N:Q with N=C2×C12 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C10 = C5×D6⋊C4φ: C10/C5C2 ⊆ Aut C2×C12120(C2xC12):1C10240,59
(C2×C12)⋊2C10 = C15×C22⋊C4φ: C10/C5C2 ⊆ Aut C2×C12120(C2xC12):2C10240,82
(C2×C12)⋊3C10 = C10×D12φ: C10/C5C2 ⊆ Aut C2×C12120(C2xC12):3C10240,167
(C2×C12)⋊4C10 = C5×C4○D12φ: C10/C5C2 ⊆ Aut C2×C121202(C2xC12):4C10240,168
(C2×C12)⋊5C10 = S3×C2×C20φ: C10/C5C2 ⊆ Aut C2×C12120(C2xC12):5C10240,166
(C2×C12)⋊6C10 = D4×C30φ: C10/C5C2 ⊆ Aut C2×C12120(C2xC12):6C10240,186
(C2×C12)⋊7C10 = C15×C4○D4φ: C10/C5C2 ⊆ Aut C2×C121202(C2xC12):7C10240,188

Non-split extensions G=N.Q with N=C2×C12 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C10 = C5×Dic3⋊C4φ: C10/C5C2 ⊆ Aut C2×C12240(C2xC12).1C10240,57
(C2×C12).2C10 = C15×C4⋊C4φ: C10/C5C2 ⊆ Aut C2×C12240(C2xC12).2C10240,83
(C2×C12).3C10 = C5×C4⋊Dic3φ: C10/C5C2 ⊆ Aut C2×C12240(C2xC12).3C10240,58
(C2×C12).4C10 = C10×Dic6φ: C10/C5C2 ⊆ Aut C2×C12240(C2xC12).4C10240,165
(C2×C12).5C10 = C5×C4.Dic3φ: C10/C5C2 ⊆ Aut C2×C121202(C2xC12).5C10240,55
(C2×C12).6C10 = C10×C3⋊C8φ: C10/C5C2 ⊆ Aut C2×C12240(C2xC12).6C10240,54
(C2×C12).7C10 = Dic3×C20φ: C10/C5C2 ⊆ Aut C2×C12240(C2xC12).7C10240,56
(C2×C12).8C10 = C15×M4(2)φ: C10/C5C2 ⊆ Aut C2×C121202(C2xC12).8C10240,85
(C2×C12).9C10 = Q8×C30φ: C10/C5C2 ⊆ Aut C2×C12240(C2xC12).9C10240,187

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