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Extensions 1→N→G→Q→1 with N=C2×C5⋊C16 and Q=C2

Direct product G=N×Q with N=C2×C5⋊C16 and Q=C2
dρLabelID
C22×C5⋊C16320C2^2xC5:C16320,1080

Semidirect products G=N:Q with N=C2×C5⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C16)⋊1C2 = D20.C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊C161608(C2xC5:C16):1C2320,236
(C2×C5⋊C16)⋊2C2 = D4.(C5⋊C8)φ: C2/C1 → C2 ⊆ Out C2×C5⋊C161608(C2xC5:C16):2C2320,270
(C2×C5⋊C16)⋊3C2 = Dic10.C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊C161608(C2xC5:C16):3C2320,1063
(C2×C5⋊C16)⋊4C2 = C5⋊C16.C22φ: C2/C1 → C2 ⊆ Out C2×C5⋊C161608(C2xC5:C16):4C2320,1129
(C2×C5⋊C16)⋊5C2 = D10⋊C16φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16160(C2xC5:C16):5C2320,225
(C2×C5⋊C16)⋊6C2 = C10.6M5(2)φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16160(C2xC5:C16):6C2320,249
(C2×C5⋊C16)⋊7C2 = C2×C8.F5φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16160(C2xC5:C16):7C2320,1052
(C2×C5⋊C16)⋊8C2 = C2×C20.C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16160(C2xC5:C16):8C2320,1081
(C2×C5⋊C16)⋊9C2 = C2×D5⋊C16φ: trivial image160(C2xC5:C16):9C2320,1051

Non-split extensions G=N.Q with N=C2×C5⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C16).1C2 = C20⋊C16φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16320(C2xC5:C16).1C2320,196
(C2×C5⋊C16).2C2 = C42.4F5φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16320(C2xC5:C16).2C2320,197
(C2×C5⋊C16).3C2 = C40.C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16320(C2xC5:C16).3C2320,224
(C2×C5⋊C16).4C2 = C10.M5(2)φ: C2/C1 → C2 ⊆ Out C2×C5⋊C16320(C2xC5:C16).4C2320,226
(C2×C5⋊C16).5C2 = C4×C5⋊C16φ: trivial image320(C2xC5:C16).5C2320,195
(C2×C5⋊C16).6C2 = Dic5⋊C16φ: trivial image320(C2xC5:C16).6C2320,223

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