Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C3×S3

Direct product G=N×Q with N=C2×C8 and Q=C3×S3
dρLabelID
S3×C2×C2496S3xC2xC24288,670

Semidirect products G=N:Q with N=C2×C8 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1(C3×S3) = C3×D6⋊C8φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8):1(C3xS3)288,254
(C2×C8)⋊2(C3×S3) = C3×C2.D24φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8):2(C3xS3)288,255
(C2×C8)⋊3(C3×S3) = C6×D24φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8):3(C3xS3)288,674
(C2×C8)⋊4(C3×S3) = C3×C4○D24φ: C3×S3/C32C2 ⊆ Aut C2×C8482(C2xC8):4(C3xS3)288,675
(C2×C8)⋊5(C3×S3) = C6×C24⋊C2φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8):5(C3xS3)288,673
(C2×C8)⋊6(C3×S3) = C6×C8⋊S3φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8):6(C3xS3)288,671
(C2×C8)⋊7(C3×S3) = C3×C8○D12φ: C3×S3/C32C2 ⊆ Aut C2×C8482(C2xC8):7(C3xS3)288,672

Non-split extensions G=N.Q with N=C2×C8 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
(C2×C8).1(C3×S3) = C3×Dic3⋊C8φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8).1(C3xS3)288,248
(C2×C8).2(C3×S3) = C3×C2.Dic12φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8).2(C3xS3)288,250
(C2×C8).3(C3×S3) = C3×C241C4φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8).3(C3xS3)288,252
(C2×C8).4(C3×S3) = C6×Dic12φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8).4(C3xS3)288,676
(C2×C8).5(C3×S3) = C3×C24.C4φ: C3×S3/C32C2 ⊆ Aut C2×C8482(C2xC8).5(C3xS3)288,253
(C2×C8).6(C3×S3) = C3×C8⋊Dic3φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8).6(C3xS3)288,251
(C2×C8).7(C3×S3) = C3×C12.C8φ: C3×S3/C32C2 ⊆ Aut C2×C8482(C2xC8).7(C3xS3)288,246
(C2×C8).8(C3×S3) = C3×C24⋊C4φ: C3×S3/C32C2 ⊆ Aut C2×C896(C2xC8).8(C3xS3)288,249
(C2×C8).9(C3×S3) = C6×C3⋊C16central extension (φ=1)96(C2xC8).9(C3xS3)288,245
(C2×C8).10(C3×S3) = Dic3×C24central extension (φ=1)96(C2xC8).10(C3xS3)288,247

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