Extensions 1→N→G→Q→1 with N=D8 and Q=C2xC6

Direct product G=NxQ with N=D8 and Q=C2xC6
dρLabelID
C2xC6xD896C2xC6xD8192,1458

Semidirect products G=N:Q with N=D8 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
D8:1(C2xC6) = C6xD16φ: C2xC6/C6C2 ⊆ Out D896D8:1(C2xC6)192,938
D8:2(C2xC6) = C3xC16:C22φ: C2xC6/C6C2 ⊆ Out D8484D8:2(C2xC6)192,942
D8:3(C2xC6) = C6xC8:C22φ: C2xC6/C6C2 ⊆ Out D848D8:3(C2xC6)192,1462
D8:4(C2xC6) = C3xD8:C22φ: C2xC6/C6C2 ⊆ Out D8484D8:4(C2xC6)192,1464
D8:5(C2xC6) = C3xD4oSD16φ: C2xC6/C6C2 ⊆ Out D8484D8:5(C2xC6)192,1466
D8:6(C2xC6) = C6xC4oD8φ: trivial image96D8:6(C2xC6)192,1461
D8:7(C2xC6) = C3xD4oD8φ: trivial image484D8:7(C2xC6)192,1465

Non-split extensions G=N.Q with N=D8 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
D8.1(C2xC6) = C6xSD32φ: C2xC6/C6C2 ⊆ Out D896D8.1(C2xC6)192,939
D8.2(C2xC6) = C3xC4oD16φ: C2xC6/C6C2 ⊆ Out D8962D8.2(C2xC6)192,941
D8.3(C2xC6) = C3xQ32:C2φ: C2xC6/C6C2 ⊆ Out D8964D8.3(C2xC6)192,943
D8.4(C2xC6) = C3xQ8oD8φ: trivial image964D8.4(C2xC6)192,1467

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