Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=D4

Direct product G=N×Q with N=He3⋊C2 and Q=D4

Semidirect products G=N:Q with N=He3⋊C2 and Q=D4
extensionφ:Q→Out NdρLabelID
He3⋊C2⋊D4 = C2×He3⋊D4φ: D4/C2C22 ⊆ Out He3⋊C2366+He3:C2:D4432,530
He3⋊C22D4 = C12.86S32φ: D4/C4C2 ⊆ Out He3⋊C2366+He3:C2:2D4432,302
He3⋊C23D4 = C622D6φ: D4/C22C2 ⊆ Out He3⋊C2366He3:C2:3D4432,324

Non-split extensions G=N.Q with N=He3⋊C2 and Q=D4
extensionφ:Q→Out NdρLabelID
He3⋊C2.D4 = He3⋊SD16φ: D4/C1D4 ⊆ Out He3⋊C2276+He3:C2.D4432,520
He3⋊C2.2D4 = C2.SU3(𝔽2)φ: D4/C2C22 ⊆ Out He3⋊C2723He3:C2.2D4432,239
He3⋊C2.3D4 = C32⋊D6⋊C4φ: D4/C2C22 ⊆ Out He3⋊C2366He3:C2.3D4432,238
He3⋊C2.4D4 = C4⋊(He3⋊C4)φ: D4/C4C2 ⊆ Out He3⋊C2726He3:C2.4D4432,276
He3⋊C2.5D4 = C22⋊(He3⋊C4)φ: D4/C22C2 ⊆ Out He3⋊C2366He3:C2.5D4432,279