Extensions 1→N→G→Q→1 with N=C₈₈ and Q=C₂

Direct product G=N×Q with N=C₈₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₈₈		176		C2xC88	176,22

Semidirect products G=N:Q with N=C₈₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₈⋊₁C₂ = D₈₈	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	88	2+	C88:1C2	176,6
C₈₈⋊₂C₂ = C₈⋊D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	88	2	C88:2C2	176,5
C₈₈⋊₃C₂ = C₈×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	88	2	C88:3C2	176,3
C₈₈⋊₄C₂ = C₈₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	88	2	C88:4C2	176,4
C₈₈⋊₅C₂ = C₁₁×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	88	2	C88:5C2	176,24
C₈₈⋊₆C₂ = C₁₁×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	88	2	C88:6C2	176,25
C₈₈⋊₇C₂ = C₁₁×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	88	2	C88:7C2	176,23

Non-split extensions G=N.Q with N=C₈₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₈.₁C₂ = Dic₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	176	2-	C88.1C2	176,7
C₈₈.₂C₂ = C₁₁⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	176	2	C88.2C2	176,1
C₈₈.₃C₂ = C₁₁×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₈₈	176	2	C88.3C2	176,26

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