Extensions 1→N→G→Q→1 with N=C₁₅ and Q=M₅(2)

Direct product G=NxQ with N=C₁₅ and Q=M₅(2)

		d	ρ	Label	ID
C₁₅xM₅(2)		240	2	C15xM5(2)	480,213

Semidirect products G=N:Q with N=C₁₅ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅:₁M₅(2) = C₁₅:M₅(2)	φ: M₅(2)/C₄ → C₂xC₄ ⊆ Aut C₁₅	240	8	C15:1M5(2)	480,241
C₁₅:₂M₅(2) = D₃₀.C₈	φ: M₅(2)/C₄ → C₂xC₄ ⊆ Aut C₁₅	240	8	C15:2M5(2)	480,242
C₁₅:₃M₅(2) = C₁₂₀.C₄	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₅	240	4	C15:3M5(2)	480,295
C₁₅:₄M₅(2) = C₃xC₈.F₅	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₅	240	4	C15:4M5(2)	480,270
C₁₅:₅M₅(2) = C₄₀.₅₁D₆	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₁₅	240	4	C15:5M5(2)	480,10
C₁₅:₆M₅(2) = C₄₀.₅₂D₆	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₁₅	240	4	C15:6M5(2)	480,11
C₁₅:₇M₅(2) = D₃₀.₅C₈	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₁₅	240	4	C15:7M5(2)	480,12
C₁₅:₈M₅(2) = C₆₀.C₈	φ: M₅(2)/C₂xC₄ → C₄ ⊆ Aut C₁₅	240	4	C15:8M5(2)	480,303
C₁₅:₉M₅(2) = C₃xC₂₀.C₈	φ: M₅(2)/C₂xC₄ → C₄ ⊆ Aut C₁₅	240	4	C15:9M5(2)	480,278
C₁₅:₁₀M₅(2) = C₈₀:S₃	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₅	240	2	C15:10M5(2)	480,158
C₁₅:₁₁M₅(2) = C₃xC₈₀:C₂	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₅	240	2	C15:11M5(2)	480,76
C₁₅:₁₂M₅(2) = C₅xD₆.C₈	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₅	240	2	C15:12M5(2)	480,117
C₁₅:₁₃M₅(2) = C₆₀.₇C₈	φ: M₅(2)/C₂xC₈ → C₂ ⊆ Aut C₁₅	240	2	C15:13M5(2)	480,172
C₁₅:₁₄M₅(2) = C₃xC₂₀.₄C₈	φ: M₅(2)/C₂xC₈ → C₂ ⊆ Aut C₁₅	240	2	C15:14M5(2)	480,90
C₁₅:₁₅M₅(2) = C₅xC₁₂.C₈	φ: M₅(2)/C₂xC₈ → C₂ ⊆ Aut C₁₅	240	2	C15:15M5(2)	480,131

׿

x

:

Z

F

o

wr

Q

<