Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C16

Direct product G=N×Q with N=C32 and Q=C2×C16
dρLabelID
C6×C48288C6xC48288,327

Semidirect products G=N:Q with N=C32 and Q=C2×C16
extensionφ:Q→Aut NdρLabelID
C321(C2×C16) = C4.3F9φ: C2×C16/C4C8 ⊆ Aut C32488C3^2:1(C2xC16)288,861
C322(C2×C16) = C2×C2.F9φ: C2×C16/C22C8 ⊆ Aut C3296C3^2:2(C2xC16)288,865
C323(C2×C16) = C3⋊S33C16φ: C2×C16/C8C4 ⊆ Aut C32484C3^2:3(C2xC16)288,412
C324(C2×C16) = S3×C3⋊C16φ: C2×C16/C8C22 ⊆ Aut C32964C3^2:4(C2xC16)288,189
C325(C2×C16) = C24.60D6φ: C2×C16/C8C22 ⊆ Aut C32484C3^2:5(C2xC16)288,190
C326(C2×C16) = C2×C322C16φ: C2×C16/C2×C4C4 ⊆ Aut C3296C3^2:6(C2xC16)288,420
C327(C2×C16) = S3×C48φ: C2×C16/C16C2 ⊆ Aut C32962C3^2:7(C2xC16)288,231
C328(C2×C16) = C16×C3⋊S3φ: C2×C16/C16C2 ⊆ Aut C32144C3^2:8(C2xC16)288,272
C329(C2×C16) = C6×C3⋊C16φ: C2×C16/C2×C8C2 ⊆ Aut C3296C3^2:9(C2xC16)288,245
C3210(C2×C16) = C2×C24.S3φ: C2×C16/C2×C8C2 ⊆ Aut C32288C3^2:10(C2xC16)288,286


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