Extensions 1→N→G→Q→1 with N=C₃²⋊C₄ and Q=C₄

Direct product G=N×Q with N=C₃²⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₃²⋊C₄		24	4	C4xC3^2:C4	144,132

Semidirect products G=N:Q with N=C₃²⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄⋊₁C₄ = C₃⋊S₃.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₄	24	4	C3^2:C4:1C4	144,116
C₃²⋊C₄⋊₂C₄ = C₂.PSU₃(𝔽₂)	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₄	24	8+	C3^2:C4:2C4	144,120

Non-split extensions G=N.Q with N=C₃²⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄.C₄ = C₂×F₉	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₄	18	8+	C3^2:C4.C4	144,185

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C32⋊C4 and Q=C4