Extensions 1→N→G→Q→1 with N=D₄₄ and Q=C₄

Direct product G=N×Q with N=D₄₄ and Q=C₄

		d	ρ	Label	ID
C₄×D₄₄		176		C4xD44	352,68

Semidirect products G=N:Q with N=D₄₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₄⋊₁C₄ = D₄₄⋊₁C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₄	88	2	D44:1C4	352,11
D₄₄⋊₂C₄ = C₂.D₈₈	φ: C₄/C₂ → C₂ ⊆ Out D₄₄	176		D44:2C4	352,27
D₄₄⋊₃C₄ = C₂₂.D₈	φ: C₄/C₂ → C₂ ⊆ Out D₄₄	176		D44:3C4	352,15
D₄₄⋊₄C₄ = D₄₄⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₄	88	4	D44:4C4	352,31
D₄₄⋊₅C₄ = D₄₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₄	176		D44:5C4	352,88

Non-split extensions G=N.Q with N=D₄₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₄.C₄ = D₄₄.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₄	176	4	D44.C4	352,102
D₄₄.₂C₄ = D₄₄.₂C₄	φ: trivial image	176	2	D44.2C4	352,96

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁