Extensions 1→N→G→Q→1 with N=C32 and Q=C23×C4

Direct product G=N×Q with N=C32 and Q=C23×C4
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C32 and Q=C23×C4
extensionφ:Q→Aut NdρLabelID
C321(C23×C4) = S32×C2×C4φ: C23×C4/C2×C4C22 ⊆ Aut C3248C3^2:1(C2^3xC4)288,950
C322(C23×C4) = C23×C32⋊C4φ: C23×C4/C23C4 ⊆ Aut C3248C3^2:2(C2^3xC4)288,1039
C323(C23×C4) = C22×S3×Dic3φ: C23×C4/C23C22 ⊆ Aut C3296C3^2:3(C2^3xC4)288,969
C324(C23×C4) = C22×C6.D6φ: C23×C4/C23C22 ⊆ Aut C3248C3^2:4(C2^3xC4)288,972
C325(C23×C4) = S3×C22×C12φ: C23×C4/C22×C4C2 ⊆ Aut C3296C3^2:5(C2^3xC4)288,989
C326(C23×C4) = C22×C4×C3⋊S3φ: C23×C4/C22×C4C2 ⊆ Aut C32144C3^2:6(C2^3xC4)288,1004
C327(C23×C4) = Dic3×C22×C6φ: C23×C4/C24C2 ⊆ Aut C3296C3^2:7(C2^3xC4)288,1001
C328(C23×C4) = C23×C3⋊Dic3φ: C23×C4/C24C2 ⊆ Aut C32288C3^2:8(C2^3xC4)288,1016


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