Extensions 1→N→G→Q→1 with N=C₁₇₆ and Q=C₂

Direct product G=N×Q with N=C₁₇₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₇₆		352		C2xC176	352,58

Semidirect products G=N:Q with N=C₁₇₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇₆⋊₁C₂ = D₁₇₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	176	2+	C176:1C2	352,5
C₁₇₆⋊₂C₂ = C₁₇₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	176	2	C176:2C2	352,6
C₁₇₆⋊₃C₂ = C₁₆×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	176	2	C176:3C2	352,3
C₁₇₆⋊₄C₂ = D₂₂.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	176	2	C176:4C2	352,4
C₁₇₆⋊₅C₂ = C₁₁×D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	176	2	C176:5C2	352,60
C₁₇₆⋊₆C₂ = C₁₁×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	176	2	C176:6C2	352,61
C₁₇₆⋊₇C₂ = C₁₁×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	176	2	C176:7C2	352,59

Non-split extensions G=N.Q with N=C₁₇₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇₆.₁C₂ = Dic₈₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	352	2-	C176.1C2	352,7
C₁₇₆.₂C₂ = C₁₁⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	352	2	C176.2C2	352,1
C₁₇₆.₃C₂ = C₁₁×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₆	352	2	C176.3C2	352,62

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