Extensions 1→N→G→Q→1 with N=D₈₈ and Q=C₂

Direct product G=N×Q with N=D₈₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₈₈		176		C2xD88	352,98

Semidirect products G=N:Q with N=D₈₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₈⋊₁C₂ = D₁₇₆	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	176	2+	D88:1C2	352,5
D₈₈⋊₂C₂ = C₈⋊D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	88	4+	D88:2C2	352,103
D₈₈⋊₃C₂ = C₁₁⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	176	4+	D88:3C2	352,32
D₈₈⋊₄C₂ = D₈×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	88	4+	D88:4C2	352,105
D₈₈⋊₅C₂ = D₈₈⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	176	4+	D88:5C2	352,114
D₈₈⋊₆C₂ = D₈₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	88	4+	D88:6C2	352,109
D₈₈⋊₇C₂ = D₈₈⋊₇C₂	φ: trivial image	176	2	D88:7C2	352,99

Non-split extensions G=N.Q with N=D₈₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₈.₁C₂ = C₁₇₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	176	2	D88.1C2	352,6
D₈₈.₂C₂ = C₈.₆D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₈	176	4+	D88.2C2	352,34

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁