Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₃⋊C₈

Direct product G=N×Q with N=C₁₅ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₁₅×C₃⋊C₈		120	2	C15xC3:C8	360,34

Semidirect products G=N:Q with N=C₁₅ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₃⋊C₈) = C₃₀.Dic₃	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₁₅	360		C15:1(C3:C8)	360,54
C₁₅⋊₂(C₃⋊C₈) = C₃×C₁₅⋊C₈	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₁₅	120	4	C15:2(C3:C8)	360,53
C₁₅⋊₃(C₃⋊C₈) = C₆₀.S₃	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₅	360		C15:3(C3:C8)	360,37
C₁₅⋊₄(C₃⋊C₈) = C₃×C₁₅⋊₃C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:4(C3:C8)	360,35
C₁₅⋊₅(C₃⋊C₈) = C₅×C₃²⋊₄C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₅	360		C15:5(C3:C8)	360,36

Non-split extensions G=N.Q with N=C₁₅ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.(C₃⋊C₈) = C₄₅⋊C₈	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₁₅	360	4	C15.(C3:C8)	360,6
C₁₅.₂(C₃⋊C₈) = C₄₅⋊₃C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₅	360	2	C15.2(C3:C8)	360,3
C₁₅.₃(C₃⋊C₈) = C₅×C₉⋊C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₅	360	2	C15.3(C3:C8)	360,1

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