Extensions 1→N→G→Q→1 with N=C3⋊D4 and Q=C22

Direct product G=N×Q with N=C3⋊D4 and Q=C22
dρLabelID
C22×C3⋊D448C2^2xC3:D496,219

Semidirect products G=N:Q with N=C3⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C3⋊D41C22 = C2×S3×D4φ: C22/C2C2 ⊆ Out C3⋊D424C3:D4:1C2^296,209
C3⋊D42C22 = C2×D42S3φ: C22/C2C2 ⊆ Out C3⋊D448C3:D4:2C2^296,210
C3⋊D43C22 = D46D6φ: C22/C2C2 ⊆ Out C3⋊D4244C3:D4:3C2^296,211
C3⋊D44C22 = S3×C4○D4φ: C22/C2C2 ⊆ Out C3⋊D4244C3:D4:4C2^296,215
C3⋊D45C22 = D4○D12φ: C22/C2C2 ⊆ Out C3⋊D4244+C3:D4:5C2^296,216
C3⋊D46C22 = C2×C4○D12φ: trivial image48C3:D4:6C2^296,208

Non-split extensions G=N.Q with N=C3⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C3⋊D4.C22 = Q8○D12φ: C22/C2C2 ⊆ Out C3⋊D4484-C3:D4.C2^296,217
C3⋊D4.2C22 = Q8.15D6φ: trivial image484C3:D4.2C2^296,214

׿
×
𝔽