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

Direct product G=N×Q with N=C2×C5⋊C8 and Q=C6
dρLabelID
C2×C6×C5⋊C8480C2xC6xC5:C8480,1057

Semidirect products G=N:Q with N=C2×C5⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C8)⋊1C6 = C3×D10⋊C8φ: C6/C3C2 ⊆ Out C2×C5⋊C8240(C2xC5:C8):1C6480,283
(C2×C5⋊C8)⋊2C6 = C3×C23.2F5φ: C6/C3C2 ⊆ Out C2×C5⋊C8240(C2xC5:C8):2C6480,292
(C2×C5⋊C8)⋊3C6 = C6×C4.F5φ: C6/C3C2 ⊆ Out C2×C5⋊C8240(C2xC5:C8):3C6480,1048
(C2×C5⋊C8)⋊4C6 = C3×D4.F5φ: C6/C3C2 ⊆ Out C2×C5⋊C82408(C2xC5:C8):4C6480,1053
(C2×C5⋊C8)⋊5C6 = C6×C22.F5φ: C6/C3C2 ⊆ Out C2×C5⋊C8240(C2xC5:C8):5C6480,1058
(C2×C5⋊C8)⋊6C6 = C6×D5⋊C8φ: trivial image240(C2xC5:C8):6C6480,1047

Non-split extensions G=N.Q with N=C2×C5⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C8).1C6 = C3×C20⋊C8φ: C6/C3C2 ⊆ Out C2×C5⋊C8480(C2xC5:C8).1C6480,281
(C2×C5⋊C8).2C6 = C3×C10.C42φ: C6/C3C2 ⊆ Out C2×C5⋊C8480(C2xC5:C8).2C6480,282
(C2×C5⋊C8).3C6 = C3×Dic5⋊C8φ: C6/C3C2 ⊆ Out C2×C5⋊C8480(C2xC5:C8).3C6480,284
(C2×C5⋊C8).4C6 = C12×C5⋊C8φ: trivial image480(C2xC5:C8).4C6480,280

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