Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₄

Direct product G=N×Q with N=C₁₆ and Q=D₄

		d	ρ	Label	ID
D₄×C₁₆		64		D4xC16	128,899

Semidirect products G=N:Q with N=C₁₆ and Q=D₄

extension	φ:Q→Aut N	d	Label	ID
C₁₆⋊₁D₄ = C₁₆⋊D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₁₆	64	C16:1D4	128,950
C₁₆⋊₂D₄ = C₁₆⋊₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₁₆	64	C16:2D4	128,952
C₁₆⋊₃D₄ = C₁₆⋊₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₁₆	64	C16:3D4	128,982
C₁₆⋊₄D₄ = C₄⋊D₁₆	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64	C16:4D4	128,978
C₁₆⋊₅D₄ = C₁₆⋊₅D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64	C16:5D4	128,980
C₁₆⋊₆D₄ = C₁₆⋊₆D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64	C16:6D4	128,901
C₁₆⋊₇D₄ = C₁₆⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64	C16:7D4	128,947
C₁₆⋊₈D₄ = C₁₆⋊₈D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64	C16:8D4	128,949
C₁₆⋊₉D₄ = C₁₆⋊₉D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64	C16:9D4	128,900

Non-split extensions G=N.Q with N=C₁₆ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁D₄ = C₁₆.D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₁₆	64		C16.1D4	128,951
C₁₆.₂D₄ = C₈.₇D₈	φ: D₄/C₂ → C₂² ⊆ Aut C₁₆	64		C16.2D4	128,983
C₁₆.₃D₄ = C₃₂⋊C₂²	φ: D₄/C₂ → C₂² ⊆ Aut C₁₆	32	4+	C16.3D4	128,995
C₁₆.₄D₄ = Q₆₄⋊C₂	φ: D₄/C₂ → C₂² ⊆ Aut C₁₆	64	4-	C16.4D4	128,996
C₁₆.₅D₄ = D₆₄	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64	2+	C16.5D4	128,161
C₁₆.₆D₄ = SD₁₂₈	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64	2	C16.6D4	128,162
C₁₆.₇D₄ = Q₁₂₈	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	128	2-	C16.7D4	128,163
C₁₆.₈D₄ = C₄⋊Q₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	128		C16.8D4	128,979
C₁₆.₉D₄ = C₂×D₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64		C16.9D4	128,991
C₁₆.₁₀D₄ = C₂×SD₆₄	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64		C16.10D4	128,992
C₁₆.₁₁D₄ = C₂×Q₆₄	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	128		C16.11D4	128,993
C₁₆.₁₂D₄ = C₈.₂₁D₈	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64		C16.12D4	128,981
C₁₆.₁₃D₄ = C₄○D₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	64	2	C16.13D4	128,994
C₁₆.₁₄D₄ = C₁₆○D₈	φ: D₄/C₄ → C₂ ⊆ Aut C₁₆	32	2	C16.14D4	128,902
C₁₆.₁₅D₄ = D₁₆⋊₂C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64		C16.15D4	128,147
C₁₆.₁₆D₄ = Q₃₂⋊₂C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	128		C16.16D4	128,148
C₁₆.₁₇D₄ = M₆(2)⋊C₂	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	32	4+	C16.17D4	128,151
C₁₆.₁₈D₄ = C₁₆.₁₈D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64	4-	C16.18D4	128,152
C₁₆.₁₉D₄ = C₁₆.₁₉D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64		C16.19D4	128,948
C₁₆.₂₀D₄ = D₄.₃D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	32	4+	C16.20D4	128,953
C₁₆.₂₁D₄ = D₄.₄D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64	4-	C16.21D4	128,954
C₁₆.₂₂D₄ = D₁₆.C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	64	2	C16.22D4	128,149
C₁₆.₂₃D₄ = D₁₆⋊₃C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	32	4	C16.23D4	128,150
C₁₆.₂₄D₄ = D₄.₅D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	32	4	C16.24D4	128,955
C₁₆.₂₅D₄ = C₂³.C₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	32	4	C16.25D4	128,132
C₁₆.₂₆D₄ = D₈.C₈	φ: D₄/C₂² → C₂ ⊆ Aut C₁₆	32	4	C16.26D4	128,903
C₁₆.₂₇D₄ = C₂²⋊C₃₂	central extension (φ=1)	64		C16.27D4	128,131
C₁₆.₂₈D₄ = D₄.C₁₆	central extension (φ=1)	64	2	C16.28D4	128,133
C₁₆.₂₉D₄ = C₄⋊C₃₂	central extension (φ=1)	128		C16.29D4	128,153
C₁₆.₃₀D₄ = C₈.C₁₆	central extension (φ=1)	32	2	C16.30D4	128,154

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Extensions 1→N→G→Q→1 with N=C16 and Q=D4

Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₄