# Extensions 1→N→G→Q→1 with N=D4 and Q=C22×C6

Direct product G=N×Q with N=D4 and Q=C22×C6
dρLabelID
D4×C22×C696D4xC2^2xC6192,1531

Semidirect products G=N:Q with N=D4 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
D41(C22×C6) = C2×C6×D8φ: C22×C6/C2×C6C2 ⊆ Out D496D4:1(C2^2xC6)192,1458
D42(C22×C6) = C6×C8⋊C22φ: C22×C6/C2×C6C2 ⊆ Out D448D4:2(C2^2xC6)192,1462
D43(C22×C6) = C2×C6×C4○D4φ: trivial image96D4:3(C2^2xC6)192,1533
D44(C22×C6) = C6×2+ 1+4φ: trivial image48D4:4(C2^2xC6)192,1534

Non-split extensions G=N.Q with N=D4 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
D4.1(C22×C6) = C2×C6×SD16φ: C22×C6/C2×C6C2 ⊆ Out D496D4.1(C2^2xC6)192,1459
D4.2(C22×C6) = C6×C4○D8φ: C22×C6/C2×C6C2 ⊆ Out D496D4.2(C2^2xC6)192,1461
D4.3(C22×C6) = C6×C8.C22φ: C22×C6/C2×C6C2 ⊆ Out D496D4.3(C2^2xC6)192,1463
D4.4(C22×C6) = C3×D8⋊C22φ: C22×C6/C2×C6C2 ⊆ Out D4484D4.4(C2^2xC6)192,1464
D4.5(C22×C6) = C3×D4○D8φ: C22×C6/C2×C6C2 ⊆ Out D4484D4.5(C2^2xC6)192,1465
D4.6(C22×C6) = C3×D4○SD16φ: C22×C6/C2×C6C2 ⊆ Out D4484D4.6(C2^2xC6)192,1466
D4.7(C22×C6) = C3×Q8○D8φ: C22×C6/C2×C6C2 ⊆ Out D4964D4.7(C2^2xC6)192,1467
D4.8(C22×C6) = C6×2- 1+4φ: trivial image96D4.8(C2^2xC6)192,1535
D4.9(C22×C6) = C3×C2.C25φ: trivial image484D4.9(C2^2xC6)192,1536

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