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Extensions 1→N→G→Q→1 with N=C2×C20 and Q=Dic3

Direct product G=N×Q with N=C2×C20 and Q=Dic3
dρLabelID
Dic3×C2×C20480Dic3xC2xC20480,801

Semidirect products G=N:Q with N=C2×C20 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C2×C20)⋊1Dic3 = (C2×C60)⋊C4φ: Dic3/C3 → C4 ⊆ Aut C2×C201204(C2xC20):1Dic3480,304
(C2×C20)⋊2Dic3 = D10.10D12φ: Dic3/C3 → C4 ⊆ Aut C2×C20120(C2xC20):2Dic3480,311
(C2×C20)⋊3Dic3 = C2×C60⋊C4φ: Dic3/C3 → C4 ⊆ Aut C2×C20120(C2xC20):3Dic3480,1064
(C2×C20)⋊4Dic3 = (C2×C12)⋊6F5φ: Dic3/C3 → C4 ⊆ Aut C2×C201204(C2xC20):4Dic3480,1065
(C2×C20)⋊5Dic3 = C2×C4×C3⋊F5φ: Dic3/C3 → C4 ⊆ Aut C2×C20120(C2xC20):5Dic3480,1063
(C2×C20)⋊6Dic3 = C5×C23.7D6φ: Dic3/C3 → C4 ⊆ Aut C2×C201204(C2xC20):6Dic3480,153
(C2×C20)⋊7Dic3 = C23.7D30φ: Dic3/C3 → C4 ⊆ Aut C2×C201204(C2xC20):7Dic3480,194
(C2×C20)⋊8Dic3 = C5×C6.C42φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20):8Dic3480,150
(C2×C20)⋊9Dic3 = C30.29C42φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20):9Dic3480,191
(C2×C20)⋊10Dic3 = C2×C60⋊5C4φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20):10Dic3480,890
(C2×C20)⋊11Dic3 = C23.26D30φ: Dic3/C6 → C2 ⊆ Aut C2×C20240(C2xC20):11Dic3480,891
(C2×C20)⋊12Dic3 = C2×C4×Dic15φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20):12Dic3480,887
(C2×C20)⋊13Dic3 = C10×C4⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20):13Dic3480,804
(C2×C20)⋊14Dic3 = C5×C23.26D6φ: Dic3/C6 → C2 ⊆ Aut C2×C20240(C2xC20):14Dic3480,805

Non-split extensions G=N.Q with N=C2×C20 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C2×C20).1Dic3 = (C2×C60).C4φ: Dic3/C3 → C4 ⊆ Aut C2×C202404(C2xC20).1Dic3480,310
(C2×C20).2Dic3 = C30.11C42φ: Dic3/C3 → C4 ⊆ Aut C2×C20480(C2xC20).2Dic3480,307
(C2×C20).3Dic3 = C30.7M4(2)φ: Dic3/C3 → C4 ⊆ Aut C2×C20240(C2xC20).3Dic3480,308
(C2×C20).4Dic3 = Dic5.13D12φ: Dic3/C3 → C4 ⊆ Aut C2×C20480(C2xC20).4Dic3480,309
(C2×C20).5Dic3 = C60⋊C8φ: Dic3/C3 → C4 ⊆ Aut C2×C20480(C2xC20).5Dic3480,306
(C2×C20).6Dic3 = C2×C12.F5φ: Dic3/C3 → C4 ⊆ Aut C2×C20240(C2xC20).6Dic3480,1061
(C2×C20).7Dic3 = C60.C8φ: Dic3/C3 → C4 ⊆ Aut C2×C202404(C2xC20).7Dic3480,303
(C2×C20).8Dic3 = C60.59(C2×C4)φ: Dic3/C3 → C4 ⊆ Aut C2×C201204(C2xC20).8Dic3480,1062
(C2×C20).9Dic3 = C2×C15⋊C16φ: Dic3/C3 → C4 ⊆ Aut C2×C20480(C2xC20).9Dic3480,302
(C2×C20).10Dic3 = C4×C15⋊C8φ: Dic3/C3 → C4 ⊆ Aut C2×C20480(C2xC20).10Dic3480,305
(C2×C20).11Dic3 = C2×C60.C4φ: Dic3/C3 → C4 ⊆ Aut C2×C20240(C2xC20).11Dic3480,1060
(C2×C20).12Dic3 = C5×C12.10D4φ: Dic3/C3 → C4 ⊆ Aut C2×C202404(C2xC20).12Dic3480,155
(C2×C20).13Dic3 = C60.10D4φ: Dic3/C3 → C4 ⊆ Aut C2×C202404(C2xC20).13Dic3480,196
(C2×C20).14Dic3 = C5×C42.S3φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20).14Dic3480,122
(C2×C20).15Dic3 = C5×C12.55D4φ: Dic3/C6 → C2 ⊆ Aut C2×C20240(C2xC20).15Dic3480,149
(C2×C20).16Dic3 = C42.D15φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20).16Dic3480,163
(C2×C20).17Dic3 = C60⋊5C8φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20).17Dic3480,164
(C2×C20).18Dic3 = C60.212D4φ: Dic3/C6 → C2 ⊆ Aut C2×C20240(C2xC20).18Dic3480,190
(C2×C20).19Dic3 = C60.7C8φ: Dic3/C6 → C2 ⊆ Aut C2×C202402(C2xC20).19Dic3480,172
(C2×C20).20Dic3 = C2×C60.7C4φ: Dic3/C6 → C2 ⊆ Aut C2×C20240(C2xC20).20Dic3480,886
(C2×C20).21Dic3 = C4×C15⋊3C8φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20).21Dic3480,162
(C2×C20).22Dic3 = C2×C15⋊3C16φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20).22Dic3480,171
(C2×C20).23Dic3 = C22×C15⋊3C8φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20).23Dic3480,885
(C2×C20).24Dic3 = C5×C12⋊C8φ: Dic3/C6 → C2 ⊆ Aut C2×C20480(C2xC20).24Dic3480,123
(C2×C20).25Dic3 = C5×C12.C8φ: Dic3/C6 → C2 ⊆ Aut C2×C202402(C2xC20).25Dic3480,131
(C2×C20).26Dic3 = C10×C4.Dic3φ: Dic3/C6 → C2 ⊆ Aut C2×C20240(C2xC20).26Dic3480,800
(C2×C20).27Dic3 = C20×C3⋊C8central extension (φ=1)480(C2xC20).27Dic3480,121
(C2×C20).28Dic3 = C10×C3⋊C16central extension (φ=1)480(C2xC20).28Dic3480,130
(C2×C20).29Dic3 = C2×C10×C3⋊C8central extension (φ=1)480(C2xC20).29Dic3480,799

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