Extensions 1→N→G→Q→1 with N=He₃ and Q=C₂²⋊C₄

Direct product G=N×Q with N=He₃ and Q=C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×He₃		72		C2^2:C4xHe3	432,204

Semidirect products G=N:Q with N=He₃ and Q=C₂²⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊(C₂²⋊C₄) = C₃²⋊D₆⋊C₄	φ: C₂²⋊C₄/C₂ → D₄ ⊆ Out He₃	36	6	He3:(C2^2:C4)	432,238
He₃⋊₂(C₂²⋊C₄) = C₂²⋊(He₃⋊C₄)	φ: C₂²⋊C₄/C₂² → C₄ ⊆ Out He₃	36	6	He3:2(C2^2:C4)	432,279
He₃⋊₃(C₂²⋊C₄) = C₆².₄D₆	φ: C₂²⋊C₄/C₂² → C₂² ⊆ Out He₃	72		He3:3(C2^2:C4)	432,97
He₃⋊₄(C₂²⋊C₄) = C₆².₅D₆	φ: C₂²⋊C₄/C₂² → C₂² ⊆ Out He₃	72		He3:4(C2^2:C4)	432,98
He₃⋊₅(C₂²⋊C₄) = C₆².₂₁D₆	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Out He₃	72		He3:5(C2^2:C4)	432,141
He₃⋊₆(C₂²⋊C₄) = C₆².₃₁D₆	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Out He₃	72		He3:6(C2^2:C4)	432,189
He₃⋊₇(C₂²⋊C₄) = C₆²⋊₃C₁₂	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Out He₃	72		He3:7(C2^2:C4)	432,166
He₃⋊₈(C₂²⋊C₄) = C₆²⋊₄Dic₃	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Out He₃	72		He3:8(C2^2:C4)	432,199

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