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Extensions 1→N→G→Q→1 with N=C2×C5⋊2C8 and Q=C6

Direct product G=N×Q with N=C2×C5⋊2C8 and Q=C6
dρLabelID
C2×C6×C5⋊2C8480C2xC6xC5:2C8480,713

Semidirect products G=N:Q with N=C2×C5⋊2C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C5⋊2C8)⋊1C6 = C3×D20⋊6C4φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):1C6480,87
(C2×C5⋊2C8)⋊2C6 = C3×D4⋊Dic5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):2C6480,110
(C2×C5⋊2C8)⋊3C6 = C3×D20.2C4φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C82404(C2xC5:2C8):3C6480,700
(C2×C5⋊2C8)⋊4C6 = C6×D4⋊D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):4C6480,724
(C2×C5⋊2C8)⋊5C6 = C6×D4.D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):5C6480,726
(C2×C5⋊2C8)⋊6C6 = C6×Q8⋊D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):6C6480,734
(C2×C5⋊2C8)⋊7C6 = C3×D4.Dic5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C82404(C2xC5:2C8):7C6480,741
(C2×C5⋊2C8)⋊8C6 = C3×D4.8D10φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C82404(C2xC5:2C8):8C6480,743
(C2×C5⋊2C8)⋊9C6 = C3×D10⋊1C8φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):9C6480,98
(C2×C5⋊2C8)⋊10C6 = C3×C20.55D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):10C6480,108
(C2×C5⋊2C8)⋊11C6 = C6×C8⋊D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):11C6480,693
(C2×C5⋊2C8)⋊12C6 = C6×C4.Dic5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8240(C2xC5:2C8):12C6480,714
(C2×C5⋊2C8)⋊13C6 = D5×C2×C24φ: trivial image240(C2xC5:2C8):13C6480,692

Non-split extensions G=N.Q with N=C2×C5⋊2C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C5⋊2C8).1C6 = C3×C10.D8φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).1C6480,85
(C2×C5⋊2C8).2C6 = C3×C20.Q8φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).2C6480,86
(C2×C5⋊2C8).3C6 = C3×C10.Q16φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).3C6480,88
(C2×C5⋊2C8).4C6 = C3×C20.53D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C82404(C2xC5:2C8).4C6480,100
(C2×C5⋊2C8).5C6 = C3×Q8⋊Dic5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).5C6480,113
(C2×C5⋊2C8).6C6 = C6×C5⋊Q16φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).6C6480,736
(C2×C5⋊2C8).7C6 = C3×C42.D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).7C6480,81
(C2×C5⋊2C8).8C6 = C3×C20⋊3C8φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).8C6480,82
(C2×C5⋊2C8).9C6 = C3×C20.8Q8φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).9C6480,92
(C2×C5⋊2C8).10C6 = C3×C40⋊8C4φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).10C6480,93
(C2×C5⋊2C8).11C6 = C3×C20.C8φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C82404(C2xC5:2C8).11C6480,278
(C2×C5⋊2C8).12C6 = C6×C5⋊C16φ: C6/C3 → C2 ⊆ Out C2×C5⋊2C8480(C2xC5:2C8).12C6480,277
(C2×C5⋊2C8).13C6 = C12×C5⋊2C8φ: trivial image480(C2xC5:2C8).13C6480,80
(C2×C5⋊2C8).14C6 = Dic5×C24φ: trivial image480(C2xC5:2C8).14C6480,91

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