Extensions 1→N→G→Q→1 with N=He₃ and Q=C₄⋊C₄

Direct product G=N×Q with N=He₃ and Q=C₄⋊C₄

		d	ρ	Label	ID
C₄⋊C₄×He₃		144		C4:C4xHe3	432,207

Semidirect products G=N:Q with N=He₃ and Q=C₄⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₁(C₄⋊C₄) = C₆.S₃≀C₂	φ: C₄⋊C₄/C₂ → D₄ ⊆ Out He₃	72	6-	He3:1(C4:C4)	432,237
He₃⋊₂(C₄⋊C₄) = C₂.SU₃(𝔽₂)	φ: C₄⋊C₄/C₂ → Q₈ ⊆ Out He₃	72	3	He3:2(C4:C4)	432,239
He₃⋊₃(C₄⋊C₄) = C₄⋊(He₃⋊C₄)	φ: C₄⋊C₄/C₄ → C₄ ⊆ Out He₃	72	6	He3:3(C4:C4)	432,276
He₃⋊₄(C₄⋊C₄) = C₆².D₆	φ: C₄⋊C₄/C₂² → C₂² ⊆ Out He₃	144		He3:4(C4:C4)	432,95
He₃⋊₅(C₄⋊C₄) = C₆².₃D₆	φ: C₄⋊C₄/C₂² → C₂² ⊆ Out He₃	144		He3:5(C4:C4)	432,96
He₃⋊₆(C₄⋊C₄) = C₆².₁₉D₆	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:6(C4:C4)	432,139
He₃⋊₇(C₄⋊C₄) = C₆².₂₀D₆	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:7(C4:C4)	432,140
He₃⋊₈(C₄⋊C₄) = C₆².₂₉D₆	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:8(C4:C4)	432,187
He₃⋊₉(C₄⋊C₄) = C₆².₃₀D₆	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:9(C4:C4)	432,188

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