Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₃×D₄

Direct product G=N×Q with N=C₁₅ and Q=C₃×D₄

		d	ρ	Label	ID
D₄×C₃×C₁₅		180		D4xC3xC15	360,116

Semidirect products G=N:Q with N=C₁₅ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₃×D₄) = C₃×C₁₅⋊D₄	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₁₅	60	4	C15:1(C3xD4)	360,61
C₁₅⋊₂(C₃×D₄) = C₃×C₃⋊D₂₀	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₁₅	60	4	C15:2(C3xD4)	360,62
C₁₅⋊₃(C₃×D₄) = C₃×C₅⋊D₁₂	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₁₅	120	4	C15:3(C3xD4)	360,63
C₁₅⋊₄(C₃×D₄) = C₃×D₆₀	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:4(C3xD4)	360,102
C₁₅⋊₅(C₃×D₄) = C₃²×D₂₀	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₁₅	180		C15:5(C3xD4)	360,92
C₁₅⋊₆(C₃×D₄) = C₁₅×D₁₂	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:6(C3xD4)	360,97
C₁₅⋊₇(C₃×D₄) = C₃×C₁₅⋊₇D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:7(C3xD4)	360,104
C₁₅⋊₈(C₃×D₄) = C₃²×C₅⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₁₅	180		C15:8(C3xD4)	360,94
C₁₅⋊₉(C₃×D₄) = C₁₅×C₃⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:9(C3xD4)	360,99

Non-split extensions G=N.Q with N=C₁₅ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₃×D₄) = C₉×D₂₀	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₁₅	180	2	C15.1(C3xD4)	360,17
C₁₅.₂(C₃×D₄) = C₉×C₅⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₁₅	180	2	C15.2(C3xD4)	360,19
C₁₅.₃(C₃×D₄) = D₄×C₄₅	central extension (φ=1)	180	2	C15.3(C3xD4)	360,31

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