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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=Dic5

Direct product G=N×Q with N=C2×C12 and Q=Dic5
dρLabelID
Dic5×C2×C12480Dic5xC2xC12480,715

Semidirect products G=N:Q with N=C2×C12 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1Dic5 = C3×C23⋊Dic5φ: Dic5/C5 → C4 ⊆ Aut C2×C121204(C2xC12):1Dic5480,112
(C2×C12)⋊2Dic5 = C23.7D30φ: Dic5/C5 → C4 ⊆ Aut C2×C121204(C2xC12):2Dic5480,194
(C2×C12)⋊3Dic5 = C3×C10.10C42φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12):3Dic5480,109
(C2×C12)⋊4Dic5 = C30.29C42φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12):4Dic5480,191
(C2×C12)⋊5Dic5 = C2×C60⋊5C4φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12):5Dic5480,890
(C2×C12)⋊6Dic5 = C23.26D30φ: Dic5/C10 → C2 ⊆ Aut C2×C12240(C2xC12):6Dic5480,891
(C2×C12)⋊7Dic5 = C2×C4×Dic15φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12):7Dic5480,887
(C2×C12)⋊8Dic5 = C6×C4⋊Dic5φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12):8Dic5480,718
(C2×C12)⋊9Dic5 = C3×C23.21D10φ: Dic5/C10 → C2 ⊆ Aut C2×C12240(C2xC12):9Dic5480,719

Non-split extensions G=N.Q with N=C2×C12 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
(C2×C12).1Dic5 = C3×C20.10D4φ: Dic5/C5 → C4 ⊆ Aut C2×C122404(C2xC12).1Dic5480,114
(C2×C12).2Dic5 = C60.10D4φ: Dic5/C5 → C4 ⊆ Aut C2×C122404(C2xC12).2Dic5480,196
(C2×C12).3Dic5 = C3×C42.D5φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12).3Dic5480,81
(C2×C12).4Dic5 = C3×C20.55D4φ: Dic5/C10 → C2 ⊆ Aut C2×C12240(C2xC12).4Dic5480,108
(C2×C12).5Dic5 = C42.D15φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12).5Dic5480,163
(C2×C12).6Dic5 = C60⋊5C8φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12).6Dic5480,164
(C2×C12).7Dic5 = C60.212D4φ: Dic5/C10 → C2 ⊆ Aut C2×C12240(C2xC12).7Dic5480,190
(C2×C12).8Dic5 = C60.7C8φ: Dic5/C10 → C2 ⊆ Aut C2×C122402(C2xC12).8Dic5480,172
(C2×C12).9Dic5 = C2×C60.7C4φ: Dic5/C10 → C2 ⊆ Aut C2×C12240(C2xC12).9Dic5480,886
(C2×C12).10Dic5 = C4×C15⋊3C8φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12).10Dic5480,162
(C2×C12).11Dic5 = C2×C15⋊3C16φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12).11Dic5480,171
(C2×C12).12Dic5 = C22×C15⋊3C8φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12).12Dic5480,885
(C2×C12).13Dic5 = C3×C20⋊3C8φ: Dic5/C10 → C2 ⊆ Aut C2×C12480(C2xC12).13Dic5480,82
(C2×C12).14Dic5 = C3×C20.4C8φ: Dic5/C10 → C2 ⊆ Aut C2×C122402(C2xC12).14Dic5480,90
(C2×C12).15Dic5 = C6×C4.Dic5φ: Dic5/C10 → C2 ⊆ Aut C2×C12240(C2xC12).15Dic5480,714
(C2×C12).16Dic5 = C12×C5⋊2C8central extension (φ=1)480(C2xC12).16Dic5480,80
(C2×C12).17Dic5 = C6×C5⋊2C16central extension (φ=1)480(C2xC12).17Dic5480,89
(C2×C12).18Dic5 = C2×C6×C5⋊2C8central extension (φ=1)480(C2xC12).18Dic5480,713

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