# Extensions 1→N→G→Q→1 with N=C2×C3⋊C8 and Q=C6

Direct product G=N×Q with N=C2×C3⋊C8 and Q=C6
dρLabelID
C2×C6×C3⋊C896C2xC6xC3:C8288,691

Semidirect products G=N:Q with N=C2×C3⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8)⋊1C6 = C3×C6.D8φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):1C6288,243
(C2×C3⋊C8)⋊2C6 = C3×D4⋊Dic3φ: C6/C3C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):2C6288,266
(C2×C3⋊C8)⋊3C6 = C3×D12.C4φ: C6/C3C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):3C6288,678
(C2×C3⋊C8)⋊4C6 = C6×D4⋊S3φ: C6/C3C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):4C6288,702
(C2×C3⋊C8)⋊5C6 = C6×D4.S3φ: C6/C3C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):5C6288,704
(C2×C3⋊C8)⋊6C6 = C6×Q82S3φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):6C6288,712
(C2×C3⋊C8)⋊7C6 = C3×D4.Dic3φ: C6/C3C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):7C6288,719
(C2×C3⋊C8)⋊8C6 = C3×Q8.13D6φ: C6/C3C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):8C6288,721
(C2×C3⋊C8)⋊9C6 = C3×D6⋊C8φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):9C6288,254
(C2×C3⋊C8)⋊10C6 = C3×C12.55D4φ: C6/C3C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):10C6288,264
(C2×C3⋊C8)⋊11C6 = C6×C8⋊S3φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):11C6288,671
(C2×C3⋊C8)⋊12C6 = C6×C4.Dic3φ: C6/C3C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):12C6288,692
(C2×C3⋊C8)⋊13C6 = S3×C2×C24φ: trivial image96(C2xC3:C8):13C6288,670

Non-split extensions G=N.Q with N=C2×C3⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8).1C6 = C3×C6.Q16φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).1C6288,241
(C2×C3⋊C8).2C6 = C3×C12.Q8φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).2C6288,242
(C2×C3⋊C8).3C6 = C3×C6.SD16φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).3C6288,244
(C2×C3⋊C8).4C6 = C3×C12.53D4φ: C6/C3C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8).4C6288,256
(C2×C3⋊C8).5C6 = C3×Q82Dic3φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).5C6288,269
(C2×C3⋊C8).6C6 = C6×C3⋊Q16φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).6C6288,714
(C2×C3⋊C8).7C6 = C3×C42.S3φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).7C6288,237
(C2×C3⋊C8).8C6 = C3×C12⋊C8φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).8C6288,238
(C2×C3⋊C8).9C6 = C3×Dic3⋊C8φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).9C6288,248
(C2×C3⋊C8).10C6 = C3×C24⋊C4φ: C6/C3C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).10C6288,249
(C2×C3⋊C8).11C6 = C12×C3⋊C8φ: trivial image96(C2xC3:C8).11C6288,236
(C2×C3⋊C8).12C6 = Dic3×C24φ: trivial image96(C2xC3:C8).12C6288,247

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