Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×C₂₄

Direct product G=N×Q with N=C₄ and Q=C₃×C₂₄

		d	ρ	Label	ID
C₁₂×C₂₄		288		C12xC24	288,314

Semidirect products G=N:Q with N=C₄ and Q=C₃×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×C₂₄) = C₃²×C₄⋊C₈	φ: C₃×C₂₄/C₃×C₁₂ → C₂ ⊆ Aut C₄	288		C4:(C3xC24)	288,323

Non-split extensions G=N.Q with N=C₄ and Q=C₃×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×C₂₄) = C₃²×M₅(2)	φ: C₃×C₂₄/C₃×C₁₂ → C₂ ⊆ Aut C₄	144		C4.(C3xC24)	288,328

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C24