Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂⁴

Direct product G=N×Q with N=C₁₈ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴×C₁₈		288		C2^4xC18	288,840

Semidirect products G=N:Q with N=C₁₈ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊C₂⁴ = C₂⁴×D₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18:C2^4	288,839

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁C₂⁴ = C₂²×Dic₁₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	288		C18.1C2^4	288,352
C₁₈.₂C₂⁴ = C₂²×C₄×D₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.2C2^4	288,353
C₁₈.₃C₂⁴ = C₂²×D₃₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.3C2^4	288,354
C₁₈.₄C₂⁴ = C₂×D₃₆⋊₅C₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.4C2^4	288,355
C₁₈.₅C₂⁴ = C₂×D₄×D₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	72		C18.5C2^4	288,356
C₁₈.₆C₂⁴ = C₂×D₄⋊₂D₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.6C2^4	288,357
C₁₈.₇C₂⁴ = D₄⋊₆D₁₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	72	4	C18.7C2^4	288,358
C₁₈.₈C₂⁴ = C₂×Q₈×D₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.8C2^4	288,359
C₁₈.₉C₂⁴ = C₂×Q₈⋊₃D₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.9C2^4	288,360
C₁₈.₁₀C₂⁴ = Q₈.₁₅D₁₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144	4	C18.10C2^4	288,361
C₁₈.₁₁C₂⁴ = C₄○D₄×D₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	72	4	C18.11C2^4	288,362
C₁₈.₁₂C₂⁴ = D₄⋊₈D₁₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	72	4+	C18.12C2^4	288,363
C₁₈.₁₃C₂⁴ = D₄.₁₀D₁₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144	4-	C18.13C2^4	288,364
C₁₈.₁₄C₂⁴ = C₂³×Dic₉	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	288		C18.14C2^4	288,365
C₁₈.₁₅C₂⁴ = C₂²×C₉⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.15C2^4	288,366
C₁₈.₁₆C₂⁴ = D₄×C₂×C₁₈	central extension (φ=1)	144		C18.16C2^4	288,368
C₁₈.₁₇C₂⁴ = Q₈×C₂×C₁₈	central extension (φ=1)	288		C18.17C2^4	288,369
C₁₈.₁₈C₂⁴ = C₄○D₄×C₁₈	central extension (φ=1)	144		C18.18C2^4	288,370
C₁₈.₁₉C₂⁴ = C₉×2₊¹⁺⁴	central extension (φ=1)	72	4	C18.19C2^4	288,371
C₁₈.₂₀C₂⁴ = C₉×2_-¹⁺⁴	central extension (φ=1)	144	4	C18.20C2^4	288,372

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Extensions 1→N→G→Q→1 with N=C18 and Q=C24

Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂⁴