Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₂²

Direct product G=N×Q with N=C₂₁ and Q=C₂²

		d	ρ	Label	ID
C₂×C₄₂		84		C2xC42	84,15

Semidirect products G=N:Q with N=C₂₁ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊C₂² = S₃×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂₁	21	4+	C21:C2^2	84,8
C₂₁⋊₂C₂² = D₄₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₁	42	2+	C21:2C2^2	84,14
C₂₁⋊₃C₂² = C₆×D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₁	42	2	C21:3C2^2	84,12
C₂₁⋊₄C₂² = S₃×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₁	42	2	C21:4C2^2	84,13

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁