Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄

Direct product G=N×Q with N=C₂³ and Q=C₄

		d	ρ	Label	ID
C₂³×C₄		32		C2^3xC4	32,45

Semidirect products G=N:Q with N=C₂³ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₄ = C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³	8	4+	C2^3:C4	32,6
C₂³⋊₂C₄ = C₂×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³	16		C2^3:2C4	32,22

Non-split extensions G=N.Q with N=C₂³ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₄ = C₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³	8	4+	C2^3.C4	32,7
C₂³.₂C₄ = C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³	16		C2^3.2C4	32,5
C₂³.₃C₄ = C₂×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂³	16		C2^3.3C4	32,37

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Extensions 1→N→G→Q→1 with N=C23 and Q=C4