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Extensions 1→N→G→Q→1 with N=C22×C12 and Q=D5

Direct product G=N×Q with N=C22×C12 and Q=D5
dρLabelID
D5×C22×C12240D5xC2^2xC12480,1136

Semidirect products G=N:Q with N=C22×C12 and Q=D5
extensionφ:Q→Aut NdρLabelID
(C22×C12)⋊1D5 = C6×D10⋊C4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):1D5480,720
(C22×C12)⋊2D5 = C12×C5⋊D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):2D5480,721
(C22×C12)⋊3D5 = C3×C23.23D10φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):3D5480,722
(C22×C12)⋊4D5 = C2×D30⋊3C4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):4D5480,892
(C22×C12)⋊5D5 = C23.28D30φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):5D5480,894
(C22×C12)⋊6D5 = C60⋊29D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):6D5480,895
(C22×C12)⋊7D5 = C22×D60φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):7D5480,1167
(C22×C12)⋊8D5 = C2×D60⋊11C2φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):8D5480,1168
(C22×C12)⋊9D5 = C4×C15⋊7D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):9D5480,893
(C22×C12)⋊10D5 = C22×C4×D15φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):10D5480,1166
(C22×C12)⋊11D5 = C3×C20⋊7D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):11D5480,723
(C22×C12)⋊12D5 = C2×C6×D20φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):12D5480,1137
(C22×C12)⋊13D5 = C6×C4○D20φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):13D5480,1138

Non-split extensions G=N.Q with N=C22×C12 and Q=D5
extensionφ:Q→Aut NdρLabelID
(C22×C12).1D5 = C3×C20.55D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).1D5480,108
(C22×C12).2D5 = C3×C10.10C42φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).2D5480,109
(C22×C12).3D5 = C30.29C42φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).3D5480,191
(C22×C12).4D5 = C6×C10.D4φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).4D5480,716
(C22×C12).5D5 = C2×C30.4Q8φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).5D5480,888
(C22×C12).6D5 = C60.205D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).6D5480,889
(C22×C12).7D5 = C2×C60⋊5C4φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).7D5480,890
(C22×C12).8D5 = C22×Dic30φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).8D5480,1165
(C22×C12).9D5 = C2×C60.7C4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).9D5480,886
(C22×C12).10D5 = C23.26D30φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).10D5480,891
(C22×C12).11D5 = C60.212D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).11D5480,190
(C22×C12).12D5 = C22×C15⋊3C8φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).12D5480,885
(C22×C12).13D5 = C2×C4×Dic15φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).13D5480,887
(C22×C12).14D5 = C6×C4.Dic5φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).14D5480,714
(C22×C12).15D5 = C3×C20.48D4φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).15D5480,717
(C22×C12).16D5 = C6×C4⋊Dic5φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).16D5480,718
(C22×C12).17D5 = C3×C23.21D10φ: D5/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).17D5480,719
(C22×C12).18D5 = C2×C6×Dic10φ: D5/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).18D5480,1135
(C22×C12).19D5 = C2×C6×C5⋊2C8central extension (φ=1)480(C2^2xC12).19D5480,713
(C22×C12).20D5 = Dic5×C2×C12central extension (φ=1)480(C2^2xC12).20D5480,715

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