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

Direct product G=N×Q with N=C2×C40 and Q=C2
dρLabelID
C22×C40160C2^2xC40160,190

Semidirect products G=N:Q with N=C2×C40 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C40)⋊1C2 = D10⋊1C8φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):1C2160,27
(C2×C40)⋊2C2 = D20⋊5C4φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):2C2160,28
(C2×C40)⋊3C2 = C5×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):3C2160,48
(C2×C40)⋊4C2 = C5×D4⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):4C2160,52
(C2×C40)⋊5C2 = C2×D40φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):5C2160,124
(C2×C40)⋊6C2 = D40⋊7C2φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40):6C2160,125
(C2×C40)⋊7C2 = C2×C40⋊C2φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):7C2160,123
(C2×C40)⋊8C2 = D5×C2×C8φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):8C2160,120
(C2×C40)⋊9C2 = C2×C8⋊D5φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):9C2160,121
(C2×C40)⋊10C2 = D20.3C4φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40):10C2160,122
(C2×C40)⋊11C2 = C10×D8φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):11C2160,193
(C2×C40)⋊12C2 = C5×C4○D8φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40):12C2160,196
(C2×C40)⋊13C2 = C10×SD16φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):13C2160,194
(C2×C40)⋊14C2 = C10×M4(2)φ: C2/C1 → C2 ⊆ Aut C2×C4080(C2xC40):14C2160,191
(C2×C40)⋊15C2 = C5×C8○D4φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40):15C2160,192

Non-split extensions G=N.Q with N=C2×C40 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C40).1C2 = C20.8Q8φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).1C2160,21
(C2×C40).2C2 = C20.44D4φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).2C2160,23
(C2×C40).3C2 = C5×Q8⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).3C2160,53
(C2×C40).4C2 = C5×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).4C2160,55
(C2×C40).5C2 = C40⋊5C4φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).5C2160,25
(C2×C40).6C2 = C2×Dic20φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).6C2160,126
(C2×C40).7C2 = C40.6C4φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40).7C2160,26
(C2×C40).8C2 = C40⋊6C4φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).8C2160,24
(C2×C40).9C2 = C2×C5⋊2C16φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).9C2160,18
(C2×C40).10C2 = C20.4C8φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40).10C2160,19
(C2×C40).11C2 = C8×Dic5φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).11C2160,20
(C2×C40).12C2 = C40⋊8C4φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).12C2160,22
(C2×C40).13C2 = C5×C2.D8φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).13C2160,57
(C2×C40).14C2 = C10×Q16φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).14C2160,195
(C2×C40).15C2 = C5×C8.C4φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40).15C2160,58
(C2×C40).16C2 = C5×C4.Q8φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).16C2160,56
(C2×C40).17C2 = C5×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C40160(C2xC40).17C2160,47
(C2×C40).18C2 = C5×M5(2)φ: C2/C1 → C2 ⊆ Aut C2×C40802(C2xC40).18C2160,60

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