Extensions 1→N→G→Q→1 with N=C5×C10 and Q=C8

Direct product G=N×Q with N=C5×C10 and Q=C8
dρLabelID
C10×C40400C10xC40400,111

Semidirect products G=N:Q with N=C5×C10 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C5×C10)⋊C8 = C2×C52⋊C8φ: C8/C1C8 ⊆ Aut C5×C10208+(C5xC10):C8400,208
(C5×C10)⋊2C8 = C10×C5⋊C8φ: C8/C2C4 ⊆ Aut C5×C1080(C5xC10):2C8400,139
(C5×C10)⋊3C8 = C2×C523C8φ: C8/C2C4 ⊆ Aut C5×C1080(C5xC10):3C8400,146
(C5×C10)⋊4C8 = C2×C524C8φ: C8/C2C4 ⊆ Aut C5×C10400(C5xC10):4C8400,153
(C5×C10)⋊5C8 = C2×C525C8φ: C8/C2C4 ⊆ Aut C5×C1080(C5xC10):5C8400,160
(C5×C10)⋊6C8 = C10×C52C8φ: C8/C4C2 ⊆ Aut C5×C1080(C5xC10):6C8400,81
(C5×C10)⋊7C8 = C2×C527C8φ: C8/C4C2 ⊆ Aut C5×C10400(C5xC10):7C8400,97

Non-split extensions G=N.Q with N=C5×C10 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C5×C10).C8 = C52⋊C16φ: C8/C1C8 ⊆ Aut C5×C10808-(C5xC10).C8400,116
(C5×C10).2C8 = C5×C5⋊C16φ: C8/C2C4 ⊆ Aut C5×C10804(C5xC10).2C8400,56
(C5×C10).3C8 = C523C16φ: C8/C2C4 ⊆ Aut C5×C10804(C5xC10).3C8400,57
(C5×C10).4C8 = C524C16φ: C8/C2C4 ⊆ Aut C5×C10400(C5xC10).4C8400,58
(C5×C10).5C8 = C525C16φ: C8/C2C4 ⊆ Aut C5×C10804(C5xC10).5C8400,59
(C5×C10).6C8 = C5×C52C16φ: C8/C4C2 ⊆ Aut C5×C10802(C5xC10).6C8400,49
(C5×C10).7C8 = C527C16φ: C8/C4C2 ⊆ Aut C5×C10400(C5xC10).7C8400,50

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