Extensions 1→N→G→Q→1 with N=C5⋊C16 and Q=C22

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

Semidirect products G=N:Q with N=C5⋊C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C5⋊C161C22 = C2×C8.F5φ: C22/C2C2 ⊆ Out C5⋊C16160C5:C16:1C2^2320,1052
C5⋊C162C22 = D5⋊M5(2)φ: C22/C2C2 ⊆ Out C5⋊C16804C5:C16:2C2^2320,1053
C5⋊C163C22 = C2×C20.C8φ: C22/C2C2 ⊆ Out C5⋊C16160C5:C16:3C2^2320,1081
C5⋊C164C22 = C2×D5⋊C16φ: trivial image160C5:C16:4C2^2320,1051

Non-split extensions G=N.Q with N=C5⋊C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C5⋊C16.C22 = C5⋊C16.C22φ: C22/C2C2 ⊆ Out C5⋊C161608C5:C16.C2^2320,1129
C5⋊C16.2C22 = Dic10.C8φ: trivial image1608C5:C16.2C2^2320,1063

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