Extensions 1→N→G→Q→1 with N=C6 and Q=C52C16

Direct product G=N×Q with N=C6 and Q=C52C16
dρLabelID
C6×C52C16480C6xC5:2C16480,89

Semidirect products G=N:Q with N=C6 and Q=C52C16
extensionφ:Q→Aut NdρLabelID
C6⋊(C52C16) = C2×C153C16φ: C52C16/C40C2 ⊆ Aut C6480C6:(C5:2C16)480,171

Non-split extensions G=N.Q with N=C6 and Q=C52C16
extensionφ:Q→Aut NdρLabelID
C6.(C52C16) = C153C32φ: C52C16/C40C2 ⊆ Aut C64802C6.(C5:2C16)480,3
C6.2(C52C16) = C3×C52C32central extension (φ=1)4802C6.2(C5:2C16)480,2

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