Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₇⋊C₃

Direct product G=N×Q with N=C₁₈ and Q=C₇⋊C₃

		d	ρ	Label	ID
C₁₈×C₇⋊C₃		126	3	C18xC7:C3	378,23

Semidirect products G=N:Q with N=C₁₈ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁(C₇⋊C₃) = C₂×C₆₃⋊C₃	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₁₈	126	3	C18:1(C7:C3)	378,24
C₁₈⋊₂(C₇⋊C₃) = C₂×C₆₃⋊₃C₃	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₁₈	126	3	C18:2(C7:C3)	378,25

Non-split extensions G=N.Q with N=C₁₈ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.(C₇⋊C₃) = C₂×C₇⋊C₂₇	central extension (φ=1)	378	3	C18.(C7:C3)	378,2

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C18 and Q=C7⋊C3