Extensions 1→N→G→Q→1 with N=C₁₅ and Q=SD₁₆

Direct product G=N×Q with N=C₁₅ and Q=SD₁₆

		d	ρ	Label	ID
C₁₅×SD₁₆		120	2	C15xSD16	240,87

Semidirect products G=N:Q with N=C₁₅ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁SD₁₆ = C₃₀.D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₁₅	120	4	C15:1SD16	240,16
C₁₅⋊₂SD₁₆ = C₂₀.D₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₁₅	120	4	C15:2SD16	240,17
C₁₅⋊₃SD₁₆ = C₆.D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₁₅	120	4-	C15:3SD16	240,18
C₁₅⋊₄SD₁₆ = C₁₅⋊SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₁₅	120	4+	C15:4SD16	240,19
C₁₅⋊₅SD₁₆ = D₁₂.D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₁₅	120	4-	C15:5SD16	240,20
C₁₅⋊₆SD₁₆ = Dic₆⋊D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₁₅	120	4+	C15:6SD16	240,21
C₁₅⋊₇SD₁₆ = C₂₄⋊D₅	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₁₅	120	2	C15:7SD16	240,67
C₁₅⋊₈SD₁₆ = C₃×C₄₀⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₁₅	120	2	C15:8SD16	240,35
C₁₅⋊₉SD₁₆ = C₅×C₂₄⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₁₅	120	2	C15:9SD16	240,51
C₁₅⋊₁₀SD₁₆ = D₄.D₁₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₁₅	120	4-	C15:10SD16	240,77
C₁₅⋊₁₁SD₁₆ = C₃×D₄.D₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₁₅	120	4	C15:11SD16	240,45
C₁₅⋊₁₂SD₁₆ = C₅×D₄.S₃	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₁₅	120	4	C15:12SD16	240,61
C₁₅⋊₁₃SD₁₆ = Q₈⋊₂D₁₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₁₅	120	4+	C15:13SD16	240,78
C₁₅⋊₁₄SD₁₆ = C₃×Q₈⋊D₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₁₅	120	4	C15:14SD16	240,46
C₁₅⋊₁₅SD₁₆ = C₅×Q₈⋊₂S₃	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₁₅	120	4	C15:15SD16	240,62

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁