Extensions 1→N→G→Q→1 with N=He3 and Q=D8

Direct product G=N×Q with N=He3 and Q=D8
dρLabelID
D8×He3726D8xHe3432,216

Semidirect products G=N:Q with N=He3 and Q=D8
extensionφ:Q→Out NdρLabelID
He3⋊D8 = He3⋊D8φ: D8/C2 → D4 ⊆ Out He3726+He3:D8432,235
He3⋊2D8 = He3⋊2D8φ: D8/C4 → C22 ⊆ Out He3726+He3:2D8432,79
He3⋊3D8 = He3⋊3D8φ: D8/C4 → C22 ⊆ Out He37212+He3:3D8432,83
He3⋊4D8 = He3⋊4D8φ: D8/C8 → C2 ⊆ Out He3726+He3:4D8432,118
He3⋊5D8 = He3⋊5D8φ: D8/C8 → C2 ⊆ Out He3726He3:5D8432,176
He3⋊6D8 = He3⋊6D8φ: D8/D4 → C2 ⊆ Out He37212+He3:6D8432,153
He3⋊7D8 = He3⋊7D8φ: D8/D4 → C2 ⊆ Out He3726He3:7D8432,192


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