Extensions 1→N→G→Q→1 with N=He3 and Q=D9

Direct product G=N×Q with N=He3 and Q=D9
dρLabelID
D9×He3546D9xHe3486,99

Semidirect products G=N:Q with N=He3 and Q=D9
extensionφ:Q→Out NdρLabelID
He31D9 = He3⋊D9φ: D9/C3S3 ⊆ Out He381He3:1D9486,25
He32D9 = He32D9φ: D9/C3S3 ⊆ Out He381He3:2D9486,56
He33D9 = He33D9φ: D9/C9C2 ⊆ Out He381He3:3D9486,142
He34D9 = He34D9φ: D9/C9C2 ⊆ Out He3546He3:4D9486,182

Non-split extensions G=N.Q with N=He3 and Q=D9
extensionφ:Q→Out NdρLabelID
He3.1D9 = He3.D9φ: D9/C3S3 ⊆ Out He3816+He3.1D9486,27
He3.2D9 = He3.2D9φ: D9/C3S3 ⊆ Out He3816+He3.2D9486,29
He3.3D9 = He3.3D9φ: D9/C3S3 ⊆ Out He3816+He3.3D9486,58
He3.4D9 = He3.4D9φ: D9/C3S3 ⊆ Out He3816+He3.4D9486,59
He3.5D9 = He3.5D9φ: D9/C9C2 ⊆ Out He3816+He3.5D9486,163

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