Extensions 1→N→G→Q→1 with N=D₁₈ and Q=C₂×C₆

Direct product G=N×Q with N=D₁₈ and Q=C₂×C₆

		d	ρ	Label	ID
D₉×C₂²×C₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=D₁₈ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈⋊₁(C₂×C₆) = C₂×D₃₆⋊C₃	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₈	72		D18:1(C2xC6)	432,354
D₁₈⋊₂(C₂×C₆) = D₄×C₉⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₈	36	12+	D18:2(C2xC6)	432,362
D₁₈⋊₃(C₂×C₆) = C₂×Dic₉⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₈	72		D18:3(C2xC6)	432,379
D₁₈⋊₄(C₂×C₆) = C₂³×C₉⋊C₆	φ: C₂×C₆/C₂² → C₃ ⊆ Out D₁₈	72		D18:4(C2xC6)	432,559
D₁₈⋊₅(C₂×C₆) = C₆×D₃₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₈	144		D18:5(C2xC6)	432,343
D₁₈⋊₆(C₂×C₆) = C₃×D₄×D₉	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₈	72	4	D18:6(C2xC6)	432,356
D₁₈⋊₇(C₂×C₆) = C₆×C₉⋊D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₈	72		D18:7(C2xC6)	432,374

Non-split extensions G=N.Q with N=D₁₈ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈.₁(C₂×C₆) = D₃₆⋊₆C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₈	72	6	D18.1(C2xC6)	432,355
D₁₈.₂(C₂×C₆) = Dic₁₈⋊₂C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₈	72	12-	D18.2(C2xC6)	432,363
D₁₈.₃(C₂×C₆) = D₃₆⋊₃C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₈	72	12+	D18.3(C2xC6)	432,371
D₁₈.₄(C₂×C₆) = C₂×C₄×C₉⋊C₆	φ: C₂×C₆/C₂² → C₃ ⊆ Out D₁₈	72		D18.4(C2xC6)	432,353
D₁₈.₅(C₂×C₆) = Q₈×C₉⋊C₆	φ: C₂×C₆/C₂² → C₃ ⊆ Out D₁₈	72	12-	D18.5(C2xC6)	432,370
D₁₈.₆(C₂×C₆) = C₃×D₃₆⋊₅C₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₈	72	2	D18.6(C2xC6)	432,344
D₁₈.₇(C₂×C₆) = C₃×D₄⋊₂D₉	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₈	72	4	D18.7(C2xC6)	432,357
D₁₈.₈(C₂×C₆) = C₃×Q₈⋊₃D₉	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₈	144	4	D18.8(C2xC6)	432,365
D₁₈.₉(C₂×C₆) = D₉×C₂×C₁₂	φ: trivial image	144		D18.9(C2xC6)	432,342
D₁₈.₁₀(C₂×C₆) = C₃×Q₈×D₉	φ: trivial image	144	4	D18.10(C2xC6)	432,364

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