Extensions 1→N→G→Q→1 with N=C5×C40 and Q=C2

Direct product G=N×Q with N=C5×C40 and Q=C2
dρLabelID
C10×C40400C10xC40400,111

Semidirect products G=N:Q with N=C5×C40 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C5×C40)⋊1C2 = C525D8φ: C2/C1C2 ⊆ Aut C5×C40200(C5xC40):1C2400,95
(C5×C40)⋊2C2 = C5×D40φ: C2/C1C2 ⊆ Aut C5×C40802(C5xC40):2C2400,79
(C5×C40)⋊3C2 = C402D5φ: C2/C1C2 ⊆ Aut C5×C40200(C5xC40):3C2400,94
(C5×C40)⋊4C2 = C5×C40⋊C2φ: C2/C1C2 ⊆ Aut C5×C40802(C5xC40):4C2400,78
(C5×C40)⋊5C2 = D5×C40φ: C2/C1C2 ⊆ Aut C5×C40802(C5xC40):5C2400,76
(C5×C40)⋊6C2 = C8×C5⋊D5φ: C2/C1C2 ⊆ Aut C5×C40200(C5xC40):6C2400,92
(C5×C40)⋊7C2 = C40⋊D5φ: C2/C1C2 ⊆ Aut C5×C40200(C5xC40):7C2400,93
(C5×C40)⋊8C2 = C5×C8⋊D5φ: C2/C1C2 ⊆ Aut C5×C40802(C5xC40):8C2400,77
(C5×C40)⋊9C2 = D8×C52φ: C2/C1C2 ⊆ Aut C5×C40200(C5xC40):9C2400,113
(C5×C40)⋊10C2 = SD16×C52φ: C2/C1C2 ⊆ Aut C5×C40200(C5xC40):10C2400,114
(C5×C40)⋊11C2 = M4(2)×C52φ: C2/C1C2 ⊆ Aut C5×C40200(C5xC40):11C2400,112

Non-split extensions G=N.Q with N=C5×C40 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C5×C40).1C2 = C40.D5φ: C2/C1C2 ⊆ Aut C5×C40400(C5xC40).1C2400,96
(C5×C40).2C2 = C5×Dic20φ: C2/C1C2 ⊆ Aut C5×C40802(C5xC40).2C2400,80
(C5×C40).3C2 = C5×C52C16φ: C2/C1C2 ⊆ Aut C5×C40802(C5xC40).3C2400,49
(C5×C40).4C2 = C527C16φ: C2/C1C2 ⊆ Aut C5×C40400(C5xC40).4C2400,50
(C5×C40).5C2 = Q16×C52φ: C2/C1C2 ⊆ Aut C5×C40400(C5xC40).5C2400,115

׿
×
𝔽