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Extensions 1→N→G→Q→1 with N=C3×C3⋊C8 and Q=C4

Direct product G=N×Q with N=C3×C3⋊C8 and Q=C4
dρLabelID
C12×C3⋊C896C12xC3:C8288,236

Semidirect products G=N:Q with N=C3×C3⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8)⋊1C4 = C6.18D24φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):1C4288,223
(C3×C3⋊C8)⋊2C4 = C12.Dic6φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):2C4288,221
(C3×C3⋊C8)⋊3C4 = C3×C6.Q16φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):3C4288,241
(C3×C3⋊C8)⋊4C4 = Dic3×C3⋊C8φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):4C4288,200
(C3×C3⋊C8)⋊5C4 = C6.(S3×C8)φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):5C4288,201
(C3×C3⋊C8)⋊6C4 = C3⋊C8⋊Dic3φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):6C4288,202
(C3×C3⋊C8)⋊7C4 = C2.Dic32φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):7C4288,203
(C3×C3⋊C8)⋊8C4 = C3×C12.Q8φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):8C4288,242
(C3×C3⋊C8)⋊9C4 = C3×C42.S3φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):9C4288,237
(C3×C3⋊C8)⋊10C4 = C3×C24⋊C4φ: C4/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):10C4288,249
(C3×C3⋊C8)⋊11C4 = Dic3×C24φ: trivial image96(C3xC3:C8):11C4288,247

Non-split extensions G=N.Q with N=C3×C3⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8).1C4 = C12.82D12φ: C4/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).1C4288,225
(C3×C3⋊C8).2C4 = C3×C12.53D4φ: C4/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).2C4288,256
(C3×C3⋊C8).3C4 = S3×C3⋊C16φ: C4/C2 → C2 ⊆ Out C3×C3⋊C8964(C3xC3:C8).3C4288,189
(C3×C3⋊C8).4C4 = C24.61D6φ: C4/C2 → C2 ⊆ Out C3×C3⋊C8964(C3xC3:C8).4C4288,191
(C3×C3⋊C8).5C4 = C3×D6.C8φ: C4/C2 → C2 ⊆ Out C3×C3⋊C8962(C3xC3:C8).5C4288,232
(C3×C3⋊C8).6C4 = S3×C48φ: trivial image962(C3xC3:C8).6C4288,231

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