Extensions 1→N→G→Q→1 with N=C₁₅ and Q=M₄(2)

Direct product G=N×Q with N=C₁₅ and Q=M₄(2)

		d	ρ	Label	ID
C₁₅×M₄(2)		120	2	C15xM4(2)	240,85

Semidirect products G=N:Q with N=C₁₅ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁M₄(2) = D₆.F₅	φ: M₄(2)/C₂ → C₂×C₄ ⊆ Aut C₁₅	120	8-	C15:1M4(2)	240,100
C₁₅⋊₂M₄(2) = Dic₃.F₅	φ: M₄(2)/C₂ → C₂×C₄ ⊆ Aut C₁₅	120	8+	C15:2M4(2)	240,101
C₁₅⋊₃M₄(2) = C₁₂.F₅	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₁₅	120	4	C15:3M4(2)	240,119
C₁₅⋊₄M₄(2) = C₃×C₄.F₅	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₁₅	120	4	C15:4M4(2)	240,112
C₁₅⋊₅M₄(2) = C₂₀.₃₂D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₅	120	4	C15:5M4(2)	240,10
C₁₅⋊₆M₄(2) = D₆.Dic₅	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₅	120	4	C15:6M4(2)	240,11
C₁₅⋊₇M₄(2) = D₃₀.₅C₄	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₅	120	4	C15:7M4(2)	240,12
C₁₅⋊₈M₄(2) = C₁₅⋊₈M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₁₅	120	4	C15:8M4(2)	240,123
C₁₅⋊₉M₄(2) = C₃×C₂².F₅	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₁₅	120	4	C15:9M4(2)	240,116
C₁₅⋊₁₀M₄(2) = C₄₀⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₅	120	2	C15:10M4(2)	240,66
C₁₅⋊₁₁M₄(2) = C₃×C₈⋊D₅	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₅	120	2	C15:11M4(2)	240,34
C₁₅⋊₁₂M₄(2) = C₅×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₅	120	2	C15:12M4(2)	240,50
C₁₅⋊₁₃M₄(2) = C₆₀.₇C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₅	120	2	C15:13M4(2)	240,71
C₁₅⋊₁₄M₄(2) = C₃×C₄.Dic₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₅	120	2	C15:14M4(2)	240,39
C₁₅⋊₁₅M₄(2) = C₅×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₅	120	2	C15:15M4(2)	240,55

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁