Extensions 1→N→G→Q→1 with N=C40 and Q=C10

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

Semidirect products G=N:Q with N=C40 and Q=C10
extensionφ:Q→Aut NdρLabelID
C401C10 = C5×D40φ: C10/C5C2 ⊆ Aut C40802C40:1C10400,79
C402C10 = C5×C40⋊C2φ: C10/C5C2 ⊆ Aut C40802C40:2C10400,78
C403C10 = D5×C40φ: C10/C5C2 ⊆ Aut C40802C40:3C10400,76
C404C10 = C5×C8⋊D5φ: C10/C5C2 ⊆ Aut C40802C40:4C10400,77
C405C10 = D8×C52φ: C10/C5C2 ⊆ Aut C40200C40:5C10400,113
C406C10 = SD16×C52φ: C10/C5C2 ⊆ Aut C40200C40:6C10400,114
C407C10 = M4(2)×C52φ: C10/C5C2 ⊆ Aut C40200C40:7C10400,112

Non-split extensions G=N.Q with N=C40 and Q=C10
extensionφ:Q→Aut NdρLabelID
C40.1C10 = C5×Dic20φ: C10/C5C2 ⊆ Aut C40802C40.1C10400,80
C40.2C10 = C5×C52C16φ: C10/C5C2 ⊆ Aut C40802C40.2C10400,49
C40.3C10 = D8×C25φ: C10/C5C2 ⊆ Aut C402002C40.3C10400,25
C40.4C10 = Q16×C25φ: C10/C5C2 ⊆ Aut C404002C40.4C10400,27
C40.5C10 = Q16×C52φ: C10/C5C2 ⊆ Aut C40400C40.5C10400,115
C40.6C10 = SD16×C25φ: C10/C5C2 ⊆ Aut C402002C40.6C10400,26
C40.7C10 = M4(2)×C25φ: C10/C5C2 ⊆ Aut C402002C40.7C10400,24

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