Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₁₂

Direct product G=N×Q with N=C₁₆ and Q=C₁₂

		d	ρ	Label	ID
C₄×C₄₈		192		C4xC48	192,151

Semidirect products G=N:Q with N=C₁₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁C₁₂ = C₃×C₈.Q₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₆	48	4	C16:1C12	192,171
C₁₆⋊₂C₁₂ = C₃×C₁₆⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₆	48	4	C16:2C12	192,153
C₁₆⋊₃C₁₂ = C₃×C₁₆⋊₃C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₆	192		C16:3C12	192,172
C₁₆⋊₄C₁₂ = C₃×C₁₆⋊₄C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₆	192		C16:4C12	192,173
C₁₆⋊₅C₁₂ = C₃×C₁₆⋊₅C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₆	192		C16:5C12	192,152

Non-split extensions G=N.Q with N=C₁₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁C₁₂ = C₃×C₈.₄Q₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₆	96	2	C16.1C12	192,174
C₁₆.₂C₁₂ = C₃×M₆(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₆	96	2	C16.2C12	192,176

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁