Extensions 1→N→G→Q→1 with N=C₂₈ and Q=Q₁₆

Direct product G=N×Q with N=C₂₈ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂₈		448		Q16xC28	448,847

Semidirect products G=N:Q with N=C₂₈ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₂₈⋊₁Q₁₆ = C₄⋊Dic₂₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28:1Q16	448,383
C₂₈⋊₂Q₁₆ = C₂₈⋊Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28:2Q16	448,624
C₂₈⋊₃Q₁₆ = C₂₈⋊₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28:3Q16	448,626
C₂₈⋊₄Q₁₆ = C₂₈⋊₄Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28:4Q16	448,233
C₂₈⋊₅Q₁₆ = C₄×Dic₂₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28:5Q16	448,232
C₂₈⋊₆Q₁₆ = C₇×C₄⋊Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28:6Q16	448,902
C₂₈⋊₇Q₁₆ = C₂₈⋊₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28:7Q16	448,565
C₂₈⋊₈Q₁₆ = C₄×C₇⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28:8Q16	448,563
C₂₈⋊₉Q₁₆ = C₇×C₄⋊₂Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28:9Q16	448,870

Non-split extensions G=N.Q with N=C₂₈ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₂₈.₁Q₁₆ = C₄.Dic₂₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.1Q16	448,38
C₂₈.₂Q₁₆ = C₂₈.₄₇D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.2Q16	448,39
C₂₈.₃Q₁₆ = C₈.₄Dic₁₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.3Q16	448,46
C₂₈.₄Q₁₆ = C₈.₅Dic₁₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.4Q16	448,47
C₂₈.₅Q₁₆ = C₂₈.₅Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.5Q16	448,103
C₂₈.₆Q₁₆ = C₂₈.₁₀D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.6Q16	448,104
C₂₈.₇Q₁₆ = C₂₈.₇Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.7Q16	448,384
C₂₈.₈Q₁₆ = C₂₈.₁₇D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.8Q16	448,612
C₂₈.₉Q₁₆ = C₂₈.Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.9Q16	448,615
C₂₈.₁₀Q₁₆ = Dic₁₄⋊₅Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.10Q16	448,625
C₂₈.₁₁Q₁₆ = C₂₈.₁₁Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₈	448	C28.11Q16	448,627
C₂₈.₁₂Q₁₆ = C₁₁₂⋊₅C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.12Q16	448,61
C₂₈.₁₃Q₁₆ = C₁₁₂⋊₆C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.13Q16	448,62
C₂₈.₁₄Q₁₆ = C₂₈.₁₄Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.14Q16	448,215
C₂₈.₁₅Q₁₆ = C₅₆⋊₈Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.15Q16	448,216
C₂₈.₁₆Q₁₆ = C₄.₈Dic₂₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.16Q16	448,13
C₂₈.₁₇Q₁₆ = C₅₆⋊₁C₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.17Q16	448,15
C₂₈.₁₈Q₁₆ = C₇×C₁₆⋊₃C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.18Q16	448,170
C₂₈.₁₉Q₁₆ = C₇×C₁₆⋊₄C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.19Q16	448,171
C₂₈.₂₀Q₁₆ = C₇×C₄.SD₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.20Q16	448,895
C₂₈.₂₁Q₁₆ = C₇×C₈⋊₂Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₈	448	C28.21Q16	448,908
C₂₈.₂₂Q₁₆ = C₂₈.₂D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.22Q16	448,43
C₂₈.₂₃Q₁₆ = C₂₈.₂₃Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.23Q16	448,555
C₂₈.₂₄Q₁₆ = C₂₈.₅₃D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.24Q16	448,36
C₂₈.₂₅Q₁₆ = Dic₁₄⋊₂C₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.25Q16	448,41
C₂₈.₂₆Q₁₆ = C₂₈.₂₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.26Q16	448,92
C₂₈.₂₇Q₁₆ = C₇×C₄.₁₀D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.27Q16	448,136
C₂₈.₂₈Q₁₆ = C₇×C₄.₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.28Q16	448,137
C₂₈.₂₉Q₁₆ = C₇×C₄.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₈	448	C28.29Q16	448,885
C₂₈.₃₀Q₁₆ = C₇×Q₈⋊C₈	central extension (φ=1)	448	C28.30Q16	448,130
C₂₈.₃₁Q₁₆ = C₇×C₈⋊₁C₈	central extension (φ=1)	448	C28.31Q16	448,139

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Extensions 1→N→G→Q→1 with N=C28 and Q=Q16

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=Q₁₆