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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=C3⋊C8

Direct product G=N×Q with N=C2×C10 and Q=C3⋊C8
dρLabelID
C2×C10×C3⋊C8480C2xC10xC3:C8480,799

Semidirect products G=N:Q with N=C2×C10 and Q=C3⋊C8
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊(C3⋊C8) = Dic5.S4φ: C3⋊C8/C2 → Dic3 ⊆ Aut C2×C1012012-(C2xC10):(C3:C8)480,963
(C2×C10)⋊2(C3⋊C8) = C5×A4⋊C8φ: C3⋊C8/C4 → S3 ⊆ Aut C2×C101203(C2xC10):2(C3:C8)480,255
(C2×C10)⋊3(C3⋊C8) = C20.S4φ: C3⋊C8/C4 → S3 ⊆ Aut C2×C101206(C2xC10):3(C3:C8)480,259
(C2×C10)⋊4(C3⋊C8) = C30.22M4(2)φ: C3⋊C8/C6 → C4 ⊆ Aut C2×C10240(C2xC10):4(C3:C8)480,317
(C2×C10)⋊5(C3⋊C8) = C22×C15⋊C8φ: C3⋊C8/C6 → C4 ⊆ Aut C2×C10480(C2xC10):5(C3:C8)480,1070
(C2×C10)⋊6(C3⋊C8) = C5×C12.55D4φ: C3⋊C8/C12 → C2 ⊆ Aut C2×C10240(C2xC10):6(C3:C8)480,149
(C2×C10)⋊7(C3⋊C8) = C60.212D4φ: C3⋊C8/C12 → C2 ⊆ Aut C2×C10240(C2xC10):7(C3:C8)480,190
(C2×C10)⋊8(C3⋊C8) = C22×C15⋊3C8φ: C3⋊C8/C12 → C2 ⊆ Aut C2×C10480(C2xC10):8(C3:C8)480,885

Non-split extensions G=N.Q with N=C2×C10 and Q=C3⋊C8
extensionφ:Q→Aut NdρLabelID
(C2×C10).1(C3⋊C8) = C2×C15⋊C16φ: C3⋊C8/C6 → C4 ⊆ Aut C2×C10480(C2xC10).1(C3:C8)480,302
(C2×C10).2(C3⋊C8) = C60.C8φ: C3⋊C8/C6 → C4 ⊆ Aut C2×C102404(C2xC10).2(C3:C8)480,303
(C2×C10).3(C3⋊C8) = C5×C12.C8φ: C3⋊C8/C12 → C2 ⊆ Aut C2×C102402(C2xC10).3(C3:C8)480,131
(C2×C10).4(C3⋊C8) = C2×C15⋊3C16φ: C3⋊C8/C12 → C2 ⊆ Aut C2×C10480(C2xC10).4(C3:C8)480,171
(C2×C10).5(C3⋊C8) = C60.7C8φ: C3⋊C8/C12 → C2 ⊆ Aut C2×C102402(C2xC10).5(C3:C8)480,172
(C2×C10).6(C3⋊C8) = C10×C3⋊C16central extension (φ=1)480(C2xC10).6(C3:C8)480,130

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