Extensions 1→N→G→Q→1 with N=C₃₀ and Q=C₄

Direct product G=N×Q with N=C₃₀ and Q=C₄

		d	ρ	Label	ID
C₂×C₆₀		120		C2xC60	120,31

Semidirect products G=N:Q with N=C₃₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁C₄ = C₂×C₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₃₀	30	4	C30:1C4	120,41
C₃₀⋊₂C₄ = C₆×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₃₀	30	4	C30:2C4	120,40
C₃₀⋊₃C₄ = C₂×Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Aut C₃₀	120		C30:3C4	120,29
C₃₀⋊₄C₄ = C₆×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₃₀	120		C30:4C4	120,19
C₃₀⋊₅C₄ = C₁₀×Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃₀	120		C30:5C4	120,24

Non-split extensions G=N.Q with N=C₃₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₄ = C₁₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃₀	120	4	C30.1C4	120,7
C₃₀.₂C₄ = C₃×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃₀	120	4	C30.2C4	120,6
C₃₀.₃C₄ = C₁₅⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃₀	120	2	C30.3C4	120,3
C₃₀.₄C₄ = C₃×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃₀	120	2	C30.4C4	120,2
C₃₀.₅C₄ = C₅×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃₀	120	2	C30.5C4	120,1

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