Extensions 1→N→G→Q→1 with N=C₄ and Q=C₆₆

Direct product G=N×Q with N=C₄ and Q=C₆₆

		d	ρ	Label	ID
C₂×C₁₃₂		264		C2xC132	264,28

Semidirect products G=N:Q with N=C₄ and Q=C₆₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₆₆ = D₄×C₃₃	φ: C₆₆/C₃₃ → C₂ ⊆ Aut C₄	132	2	C4:C66	264,29

Non-split extensions G=N.Q with N=C₄ and Q=C₆₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.C₆₆ = Q₈×C₃₃	φ: C₆₆/C₃₃ → C₂ ⊆ Aut C₄	264	2	C4.C66	264,30

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C66