Extensions 1→N→G→Q→1 with N=C5 and Q=C6.Q16

Direct product G=N×Q with N=C5 and Q=C6.Q16
dρLabelID
C5×C6.Q16480C5xC6.Q16480,126

Semidirect products G=N:Q with N=C5 and Q=C6.Q16
extensionφ:Q→Aut NdρLabelID
C5⋊(C6.Q16) = Dic5.4Dic6φ: C6.Q16/C3⋊C8C4 ⊆ Aut C51208C5:(C6.Q16)480,236
C52(C6.Q16) = C60.5Q8φ: C6.Q16/C2×C3⋊C8C2 ⊆ Aut C5480C5:2(C6.Q16)480,66
C53(C6.Q16) = C30.20D8φ: C6.Q16/C4⋊Dic3C2 ⊆ Aut C5480C5:3(C6.Q16)480,65
C54(C6.Q16) = C60.1Q8φ: C6.Q16/C3×C4⋊C4C2 ⊆ Aut C5480C5:4(C6.Q16)480,167


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