Extensions 1→N→G→Q→1 with N=Dic₁₈ and Q=C₆

Direct product G=N×Q with N=Dic₁₈ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₁₈		144		C6xDic18	432,340

Semidirect products G=N:Q with N=Dic₁₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈⋊₁C₆ = Dic₁₈⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₈	72	12-	Dic18:1C6	432,154
Dic₁₈⋊₂C₆ = Dic₁₈⋊₂C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₈	72	12-	Dic18:2C6	432,363
Dic₁₈⋊₃C₆ = Q₈×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₈	72	12-	Dic18:3C6	432,370
Dic₁₈⋊₄C₆ = C₇₂⋊₂C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₈	72	6	Dic18:4C6	432,122
Dic₁₈⋊₅C₆ = C₂×C₃₆.C₆	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₈	144		Dic18:5C6	432,352
Dic₁₈⋊₆C₆ = D₃₆⋊₆C₆	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₈	72	6	Dic18:6C6	432,355
Dic₁₈⋊₇C₆ = C₃×C₇₂⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₈	144	2	Dic18:7C6	432,107
Dic₁₈⋊₈C₆ = C₃×D₄.D₉	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₈	72	4	Dic18:8C6	432,148
Dic₁₈⋊₉C₆ = C₃×D₄⋊₂D₉	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₈	72	4	Dic18:9C6	432,357
Dic₁₈⋊₁₀C₆ = C₃×Q₈×D₉	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₈	144	4	Dic18:10C6	432,364
Dic₁₈⋊₁₁C₆ = C₃×D₃₆⋊₅C₂	φ: trivial image	72	2	Dic18:11C6	432,344

Non-split extensions G=N.Q with N=Dic₁₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈.₁C₆ = Dic₁₈.C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₈	144	12-	Dic18.1C6	432,162
Dic₁₈.₂C₆ = C₇₂.C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₈	144	6-	Dic18.2C6	432,119
Dic₁₈.₃C₆ = C₃×Dic₃₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₈	144	2	Dic18.3C6	432,104
Dic₁₈.₄C₆ = C₃×C₉⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₈	144	4	Dic18.4C6	432,156

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