Extensions 1→N→G→Q→1 with N=C32 and Q=C22×S3

Direct product G=N×Q with N=C32 and Q=C22×S3
dρLabelID
S3×C6272S3xC6^2216,174

Semidirect products G=N:Q with N=C32 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C32⋊(C22×S3) = C2×C32⋊D6φ: C22×S3/C2D6 ⊆ Aut C32186+C3^2:(C2^2xS3)216,102
C322(C22×S3) = C22×C32⋊C6φ: C22×S3/C22S3 ⊆ Aut C3236C3^2:2(C2^2xS3)216,110
C323(C22×S3) = C22×He3⋊C2φ: C22×S3/C22S3 ⊆ Aut C3236C3^2:3(C2^2xS3)216,113
C324(C22×S3) = S33φ: C22×S3/S3C22 ⊆ Aut C32128+C3^2:4(C2^2xS3)216,162
C325(C22×S3) = C2×S3×C3⋊S3φ: C22×S3/C6C22 ⊆ Aut C3236C3^2:5(C2^2xS3)216,171
C326(C22×S3) = C2×C324D6φ: C22×S3/C6C22 ⊆ Aut C32244C3^2:6(C2^2xS3)216,172
C327(C22×S3) = S32×C6φ: C22×S3/D6C2 ⊆ Aut C32244C3^2:7(C2^2xS3)216,170
C328(C22×S3) = C2×C6×C3⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C3272C3^2:8(C2^2xS3)216,175
C329(C22×S3) = C22×C33⋊C2φ: C22×S3/C2×C6C2 ⊆ Aut C32108C3^2:9(C2^2xS3)216,176

Non-split extensions G=N.Q with N=C32 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C32.(C22×S3) = C22×C9⋊C6φ: C22×S3/C22S3 ⊆ Aut C3236C3^2.(C2^2xS3)216,111
C32.2(C22×S3) = C2×S3×D9φ: C22×S3/C6C22 ⊆ Aut C32364+C3^2.2(C2^2xS3)216,101
C32.3(C22×S3) = C2×C6×D9φ: C22×S3/C2×C6C2 ⊆ Aut C3272C3^2.3(C2^2xS3)216,108
C32.4(C22×S3) = C22×C9⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C32108C3^2.4(C2^2xS3)216,112

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