Extensions 1→N→G→Q→1 with N=D40 and Q=C2

Direct product G=N×Q with N=D40 and Q=C2
dρLabelID
C2×D4080C2xD40160,124

Semidirect products G=N:Q with N=D40 and Q=C2
extensionφ:Q→Out NdρLabelID
D401C2 = D80φ: C2/C1C2 ⊆ Out D40802+D40:1C2160,6
D402C2 = C8⋊D10φ: C2/C1C2 ⊆ Out D40404+D40:2C2160,129
D403C2 = C5⋊D16φ: C2/C1C2 ⊆ Out D40804+D40:3C2160,33
D404C2 = D5×D8φ: C2/C1C2 ⊆ Out D40404+D40:4C2160,131
D405C2 = Q8.D10φ: C2/C1C2 ⊆ Out D40804+D40:5C2160,140
D406C2 = D40⋊C2φ: C2/C1C2 ⊆ Out D40404+D40:6C2160,135
D407C2 = D407C2φ: trivial image802D40:7C2160,125

Non-split extensions G=N.Q with N=D40 and Q=C2
extensionφ:Q→Out NdρLabelID
D40.1C2 = C16⋊D5φ: C2/C1C2 ⊆ Out D40802D40.1C2160,7
D40.2C2 = C5⋊SD32φ: C2/C1C2 ⊆ Out D40804+D40.2C2160,35

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