Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C6

Direct product G=N×Q with N=D4 and Q=C2×C6

Semidirect products G=N:Q with N=D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D41(C2×C6) = C6×D8φ: C2×C6/C6C2 ⊆ Out D448D4:1(C2xC6)96,179
D42(C2×C6) = C3×C8⋊C22φ: C2×C6/C6C2 ⊆ Out D4244D4:2(C2xC6)96,183
D43(C2×C6) = C6×C4○D4φ: trivial image48D4:3(C2xC6)96,223
D44(C2×C6) = C3×2+ 1+4φ: trivial image244D4:4(C2xC6)96,224

Non-split extensions G=N.Q with N=D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D4.1(C2×C6) = C6×SD16φ: C2×C6/C6C2 ⊆ Out D448D4.1(C2xC6)96,180
D4.2(C2×C6) = C3×C4○D8φ: C2×C6/C6C2 ⊆ Out D4482D4.2(C2xC6)96,182
D4.3(C2×C6) = C3×C8.C22φ: C2×C6/C6C2 ⊆ Out D4484D4.3(C2xC6)96,184
D4.4(C2×C6) = C3×2- 1+4φ: trivial image484D4.4(C2xC6)96,225