Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₂²

Direct product G=N×Q with N=C₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₆		64		C2^2xC16	64,183

Semidirect products G=N:Q with N=C₁₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊C₂² = C₁₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₆	16	4+	C16:C2^2	64,190
C₁₆⋊₂C₂² = C₂×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	32		C16:2C2^2	64,186
C₁₆⋊₃C₂² = C₂×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	32		C16:3C2^2	64,187
C₁₆⋊₄C₂² = C₂×M₅(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	32		C16:4C2^2	64,184

Non-split extensions G=N.Q with N=C₁₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.C₂² = Q₃₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₆	32	4-	C16.C2^2	64,191
C₁₆.₂C₂² = D₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	32	2+	C16.2C2^2	64,52
C₁₆.₃C₂² = SD₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	32	2	C16.3C2^2	64,53
C₁₆.₄C₂² = Q₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	64	2-	C16.4C2^2	64,54
C₁₆.₅C₂² = C₂×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	64		C16.5C2^2	64,188
C₁₆.₆C₂² = C₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	32	2	C16.6C2^2	64,189
C₁₆.₇C₂² = D₄○C₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₆	32	2	C16.7C2^2	64,185
C₁₆.₈C₂² = M₆(2)	central extension (φ=1)	32	2	C16.8C2^2	64,51

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