Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₄ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₂×C₄×3_-¹⁺²		72		C2xC4xES-(3,1)	216,75

Semidirect products G=N:Q with N=C₄ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×3_-¹⁺²) = D₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₄	36	6	C4:(C2xES-(3,1))	216,78

Non-split extensions G=N.Q with N=C₄ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂×3_-¹⁺²) = Q₈×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₄	72	6	C4.(C2xES-(3,1))	216,81
C₄.₂(C₂×3_-¹⁺²) = C₈×3_-¹⁺²	central extension (φ=1)	72	3	C4.2(C2xES-(3,1))	216,20

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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×3- 1+2