Extensions 1→N→G→Q→1 with N=C32 and Q=C22×C8

Direct product G=N×Q with N=C32 and Q=C22×C8
dρLabelID
C2×C6×C24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C32 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C32⋊(C22×C8) = C22×F9φ: C22×C8/C22 → C8 ⊆ Aut C3236C3^2:(C2^2xC8)288,1030
C32⋊2(C22×C8) = S32×C8φ: C22×C8/C8 → C22 ⊆ Aut C32484C3^2:2(C2^2xC8)288,437
C32⋊3(C22×C8) = C2×C3⋊S3⋊3C8φ: C22×C8/C2×C4 → C4 ⊆ Aut C3248C3^2:3(C2^2xC8)288,929
C32⋊4(C22×C8) = C2×S3×C3⋊C8φ: C22×C8/C2×C4 → C22 ⊆ Aut C3296C3^2:4(C2^2xC8)288,460
C32⋊5(C22×C8) = C2×C12.29D6φ: C22×C8/C2×C4 → C22 ⊆ Aut C3248C3^2:5(C2^2xC8)288,464
C32⋊6(C22×C8) = C22×C32⋊2C8φ: C22×C8/C23 → C4 ⊆ Aut C3296C3^2:6(C2^2xC8)288,939
C32⋊7(C22×C8) = S3×C2×C24φ: C22×C8/C2×C8 → C2 ⊆ Aut C3296C3^2:7(C2^2xC8)288,670
C32⋊8(C22×C8) = C2×C8×C3⋊S3φ: C22×C8/C2×C8 → C2 ⊆ Aut C32144C3^2:8(C2^2xC8)288,756
C32⋊9(C22×C8) = C2×C6×C3⋊C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C3296C3^2:9(C2^2xC8)288,691
C32⋊10(C22×C8) = C22×C32⋊4C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C32288C3^2:10(C2^2xC8)288,777


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