Extensions 1→N→G→Q→1 with N=He₃ and Q=C₄○D₄

Direct product G=N×Q with N=He₃ and Q=C₄○D₄

		d	ρ	Label	ID
C₄○D₄×He₃		72	6	C4oD4xHe3	432,410

Semidirect products G=N:Q with N=He₃ and Q=C₄○D₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₁(C₄○D₄) = C₁₂⋊S₃⋊S₃	φ: C₄○D₄/C₄ → C₂² ⊆ Out He₃	72	12+	He3:1(C4oD4)	432,295
He₃⋊₂(C₄○D₄) = C₁₂.₈₄S₃²	φ: C₄○D₄/C₄ → C₂² ⊆ Out He₃	72	6	He3:2(C4oD4)	432,296
He₃⋊₃(C₄○D₄) = C₁₂.₉₁S₃²	φ: C₄○D₄/C₄ → C₂² ⊆ Out He₃	72	6	He3:3(C4oD4)	432,297
He₃⋊₄(C₄○D₄) = C₁₂.S₃²	φ: C₄○D₄/C₄ → C₂² ⊆ Out He₃	72	12-	He3:4(C4oD4)	432,299
He₃⋊₅(C₄○D₄) = C₆².₈D₆	φ: C₄○D₄/C₂² → C₂² ⊆ Out He₃	72	12-	He3:5(C4oD4)	432,318
He₃⋊₆(C₄○D₄) = C₆².₉D₆	φ: C₄○D₄/C₂² → C₂² ⊆ Out He₃	72	6	He3:6(C4oD4)	432,319
He₃⋊₇(C₄○D₄) = C₆².₃₆D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out He₃	72	6	He3:7(C4oD4)	432,351
He₃⋊₈(C₄○D₄) = C₆².₄₇D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out He₃	72	6	He3:8(C4oD4)	432,387
He₃⋊₉(C₄○D₄) = C₆².₁₃D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out He₃	72	12-	He3:9(C4oD4)	432,361
He₃⋊₁₀(C₄○D₄) = C₆².₁₆D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out He₃	72	6	He3:10(C4oD4)	432,391
He₃⋊₁₁(C₄○D₄) = (Q₈×He₃)⋊C₂	φ: C₄○D₄/Q₈ → C₂ ⊆ Out He₃	72	12+	He3:11(C4oD4)	432,369
He₃⋊₁₂(C₄○D₄) = He₃⋊₅D₄⋊C₂	φ: C₄○D₄/Q₈ → C₂ ⊆ Out He₃	72	6	He3:12(C4oD4)	432,395

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