Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂×C₄

Direct product G=N×Q with N=C₁₈ and Q=C₂×C₄

		d	ρ	Label	ID
C₂²×C₃₆		144		C2^2xC36	144,47

Semidirect products G=N:Q with N=C₁₈ and Q=C₂×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁(C₂×C₄) = C₂×C₄×D₉	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₁₈	72		C18:1(C2xC4)	144,38
C₁₈⋊₂(C₂×C₄) = C₂²×Dic₉	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₁₈	144		C18:2(C2xC4)	144,45

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₂×C₄) = C₈×D₉	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₁₈	72	2	C18.1(C2xC4)	144,5
C₁₈.₂(C₂×C₄) = C₈⋊D₉	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₁₈	72	2	C18.2(C2xC4)	144,6
C₁₈.₃(C₂×C₄) = C₄×Dic₉	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₁₈	144		C18.3(C2xC4)	144,11
C₁₈.₄(C₂×C₄) = Dic₉⋊C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₁₈	144		C18.4(C2xC4)	144,12
C₁₈.₅(C₂×C₄) = D₁₈⋊C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₁₈	72		C18.5(C2xC4)	144,14
C₁₈.₆(C₂×C₄) = C₂×C₉⋊C₈	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₁₈	144		C18.6(C2xC4)	144,9
C₁₈.₇(C₂×C₄) = C₄.Dic₉	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₁₈	72	2	C18.7(C2xC4)	144,10
C₁₈.₈(C₂×C₄) = C₄⋊Dic₉	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₁₈	144		C18.8(C2xC4)	144,13
C₁₈.₉(C₂×C₄) = C₁₈.D₄	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₁₈	72		C18.9(C2xC4)	144,19
C₁₈.₁₀(C₂×C₄) = C₉×C₂²⋊C₄	central extension (φ=1)	72		C18.10(C2xC4)	144,21
C₁₈.₁₁(C₂×C₄) = C₉×C₄⋊C₄	central extension (φ=1)	144		C18.11(C2xC4)	144,22
C₁₈.₁₂(C₂×C₄) = C₉×M₄(2)	central extension (φ=1)	72	2	C18.12(C2xC4)	144,24

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