Extensions 1→N→G→Q→1 with N=C₄²⋊C₃ and Q=C₄

Direct product G=N×Q with N=C₄²⋊C₃ and Q=C₄

		d	ρ	Label	ID
C₄×C₄²⋊C₃		12	3	C4xC4^2:C3	192,188

Semidirect products G=N:Q with N=C₄²⋊C₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₃⋊C₄ = C₄²⋊Dic₃	φ: C₄/C₁ → C₄ ⊆ Out C₄²⋊C₃	16	12+	C4^2:C3:C4	192,185
C₄²⋊C₃⋊₂C₄ = C₄²⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊C₃	24	6	C4^2:C3:2C4	192,192
C₄²⋊C₃⋊₃C₄ = C₂³.₉S₄	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊C₃	12	3	C4^2:C3:3C4	192,182
C₄²⋊C₃⋊₄C₄ = C₄²⋊₂C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊C₃	24	6-	C4^2:C3:4C4	192,193

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁