Extensions 1→N→G→Q→1 with N=He₃ and Q=C₂xD₄

Direct product G=NxQ with N=He₃ and Q=C₂xD₄

		d	ρ	Label	ID
C₂xD₄xHe₃		72		C2xD4xHe3	432,404

Semidirect products G=N:Q with N=He₃ and Q=C₂xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:(C₂xD₄) = C₂xHe₃:D₄	φ: C₂xD₄/C₂ → D₄ ⊆ Out He₃	36	6+	He3:(C2xD4)	432,530
He₃:₂(C₂xD₄) = C₃:S₃:D₁₂	φ: C₂xD₄/C₄ → C₂² ⊆ Out He₃	36	12+	He3:2(C2xD4)	432,301
He₃:₃(C₂xD₄) = C₁₂.₈₆S₃²	φ: C₂xD₄/C₄ → C₂² ⊆ Out He₃	36	6+	He3:3(C2xD4)	432,302
He₃:₄(C₂xD₄) = C₂xHe₃:₂D₄	φ: C₂xD₄/C₂² → C₂² ⊆ Out He₃	72		He3:4(C2xD4)	432,320
He₃:₅(C₂xD₄) = C₂xHe₃:₃D₄	φ: C₂xD₄/C₂² → C₂² ⊆ Out He₃	72		He3:5(C2xD4)	432,322
He₃:₆(C₂xD₄) = C₆²:D₆	φ: C₂xD₄/C₂² → C₂² ⊆ Out He₃	36	12+	He3:6(C2xD4)	432,323
He₃:₇(C₂xD₄) = C₆²:₂D₆	φ: C₂xD₄/C₂² → C₂² ⊆ Out He₃	36	6	He3:7(C2xD4)	432,324
He₃:₈(C₂xD₄) = C₂xHe₃:₄D₄	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out He₃	72		He3:8(C2xD4)	432,350
He₃:₉(C₂xD₄) = C₂xHe₃:₅D₄	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out He₃	72		He3:9(C2xD4)	432,386
He₃:₁₀(C₂xD₄) = D₄xC₃²:C₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out He₃	36	12+	He3:10(C2xD4)	432,360
He₃:₁₁(C₂xD₄) = D₄xHe₃:C₂	φ: C₂xD₄/D₄ → C₂ ⊆ Out He₃	36	6	He3:11(C2xD4)	432,390
He₃:₁₂(C₂xD₄) = C₂xHe₃:₆D₄	φ: C₂xD₄/C₂³ → C₂ ⊆ Out He₃	72		He3:12(C2xD4)	432,377
He₃:₁₃(C₂xD₄) = C₂xHe₃:₇D₄	φ: C₂xD₄/C₂³ → C₂ ⊆ Out He₃	72		He3:13(C2xD4)	432,399

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