Extensions 1→N→G→Q→1 with N=C₆₉ and Q=C₂²

Direct product G=N×Q with N=C₆₉ and Q=C₂²

		d	ρ	Label	ID
C₂×C₁₃₈		276		C2xC138	276,10

Semidirect products G=N:Q with N=C₆₉ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₉⋊C₂² = S₃×D₂₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₉	69	4+	C69:C2^2	276,5
C₆₉⋊₂C₂² = D₁₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₉	138	2+	C69:2C2^2	276,9
C₆₉⋊₃C₂² = C₆×D₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₉	138	2	C69:3C2^2	276,7
C₆₉⋊₄C₂² = S₃×C₄₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₉	138	2	C69:4C2^2	276,8

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