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Extensions 1→N→G→Q→1 with N=C2×C40 and Q=C6

Direct product G=N×Q with N=C2×C40 and Q=C6
dρLabelID
C22×C120480C2^2xC120480,934

Semidirect products G=N:Q with N=C2×C40 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C40)⋊1C6 = C3×D10⋊1C8φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):1C6480,98
(C2×C40)⋊2C6 = C3×D20⋊5C4φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):2C6480,99
(C2×C40)⋊3C6 = C15×C22⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):3C6480,201
(C2×C40)⋊4C6 = C15×D4⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):4C6480,205
(C2×C40)⋊5C6 = C6×D40φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):5C6480,696
(C2×C40)⋊6C6 = C3×D40⋊7C2φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40):6C6480,697
(C2×C40)⋊7C6 = C6×C40⋊C2φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):7C6480,695
(C2×C40)⋊8C6 = D5×C2×C24φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):8C6480,692
(C2×C40)⋊9C6 = C6×C8⋊D5φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):9C6480,693
(C2×C40)⋊10C6 = C3×D20.3C4φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40):10C6480,694
(C2×C40)⋊11C6 = D8×C30φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):11C6480,937
(C2×C40)⋊12C6 = C15×C4○D8φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40):12C6480,940
(C2×C40)⋊13C6 = SD16×C30φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):13C6480,938
(C2×C40)⋊14C6 = M4(2)×C30φ: C6/C3 → C2 ⊆ Aut C2×C40240(C2xC40):14C6480,935
(C2×C40)⋊15C6 = C15×C8○D4φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40):15C6480,936

Non-split extensions G=N.Q with N=C2×C40 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C40).1C6 = C3×C20.8Q8φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).1C6480,92
(C2×C40).2C6 = C3×C20.44D4φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).2C6480,94
(C2×C40).3C6 = C15×Q8⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).3C6480,206
(C2×C40).4C6 = C15×C4⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).4C6480,208
(C2×C40).5C6 = C3×C40⋊5C4φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).5C6480,96
(C2×C40).6C6 = C6×Dic20φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).6C6480,698
(C2×C40).7C6 = C3×C40.6C4φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40).7C6480,97
(C2×C40).8C6 = C3×C40⋊6C4φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).8C6480,95
(C2×C40).9C6 = C6×C5⋊2C16φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).9C6480,89
(C2×C40).10C6 = C3×C20.4C8φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40).10C6480,90
(C2×C40).11C6 = Dic5×C24φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).11C6480,91
(C2×C40).12C6 = C3×C40⋊8C4φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).12C6480,93
(C2×C40).13C6 = C15×C2.D8φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).13C6480,210
(C2×C40).14C6 = Q16×C30φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).14C6480,939
(C2×C40).15C6 = C15×C8.C4φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40).15C6480,211
(C2×C40).16C6 = C15×C4.Q8φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).16C6480,209
(C2×C40).17C6 = C15×C8⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C40480(C2xC40).17C6480,200
(C2×C40).18C6 = C15×M5(2)φ: C6/C3 → C2 ⊆ Aut C2×C402402(C2xC40).18C6480,213

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