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

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

		d	ρ	Label	ID
C₂×D₄×He₃		72		C2xD4xHe3	432,404

Semidirect products G=N:Q with N=He₃ and Q=C₂×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊(C₂×D₄) = C₂×He₃⋊D₄	φ: C₂×D₄/C₂ → D₄ ⊆ Out He₃	36	6+	He3:(C2xD4)	432,530
He₃⋊₂(C₂×D₄) = C₃⋊S₃⋊D₁₂	φ: C₂×D₄/C₄ → C₂² ⊆ Out He₃	36	12+	He3:2(C2xD4)	432,301
He₃⋊₃(C₂×D₄) = C₁₂.₈₆S₃²	φ: C₂×D₄/C₄ → C₂² ⊆ Out He₃	36	6+	He3:3(C2xD4)	432,302
He₃⋊₄(C₂×D₄) = C₂×He₃⋊₂D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Out He₃	72		He3:4(C2xD4)	432,320
He₃⋊₅(C₂×D₄) = C₂×He₃⋊₃D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Out He₃	72		He3:5(C2xD4)	432,322
He₃⋊₆(C₂×D₄) = C₆²⋊D₆	φ: C₂×D₄/C₂² → C₂² ⊆ Out He₃	36	12+	He3:6(C2xD4)	432,323
He₃⋊₇(C₂×D₄) = C₆²⋊₂D₆	φ: C₂×D₄/C₂² → C₂² ⊆ Out He₃	36	6	He3:7(C2xD4)	432,324
He₃⋊₈(C₂×D₄) = C₂×He₃⋊₄D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Out He₃	72		He3:8(C2xD4)	432,350
He₃⋊₉(C₂×D₄) = C₂×He₃⋊₅D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Out He₃	72		He3:9(C2xD4)	432,386
He₃⋊₁₀(C₂×D₄) = D₄×C₃²⋊C₆	φ: C₂×D₄/D₄ → C₂ ⊆ Out He₃	36	12+	He3:10(C2xD4)	432,360
He₃⋊₁₁(C₂×D₄) = D₄×He₃⋊C₂	φ: C₂×D₄/D₄ → C₂ ⊆ Out He₃	36	6	He3:11(C2xD4)	432,390
He₃⋊₁₂(C₂×D₄) = C₂×He₃⋊₆D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Out He₃	72		He3:12(C2xD4)	432,377
He₃⋊₁₃(C₂×D₄) = C₂×He₃⋊₇D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Out He₃	72		He3:13(C2xD4)	432,399

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