Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂×Dic₃

Direct product G=N×Q with N=C₁₈ and Q=C₂×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₈		144		Dic3xC2xC18	432,373

Semidirect products G=N:Q with N=C₁₈ and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁(C₂×Dic₃) = C₂×Dic₃×D₉	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18:1(C2xDic3)	432,304
C₁₈⋊₂(C₂×Dic₃) = C₂²×C₉⋊Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18:2(C2xDic3)	432,396

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₂×Dic₃) = D₉×C₃⋊C₈	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₈	144	4	C18.1(C2xDic3)	432,58
C₁₈.₂(C₂×Dic₃) = C₃₆.₃₉D₆	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₈	144	4	C18.2(C2xDic3)	432,60
C₁₈.₃(C₂×Dic₃) = Dic₃×Dic₉	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18.3(C2xDic3)	432,87
C₁₈.₄(C₂×Dic₃) = Dic₉⋊Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18.4(C2xDic3)	432,88
C₁₈.₅(C₂×Dic₃) = D₁₈⋊Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18.5(C2xDic3)	432,91
C₁₈.₆(C₂×Dic₃) = C₂×C₂₇⋊C₈	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18.6(C2xDic3)	432,9
C₁₈.₇(C₂×Dic₃) = C₄.Dic₂₇	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	216	2	C18.7(C2xDic3)	432,10
C₁₈.₈(C₂×Dic₃) = C₄×Dic₂₇	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18.8(C2xDic3)	432,11
C₁₈.₉(C₂×Dic₃) = C₄⋊Dic₂₇	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18.9(C2xDic3)	432,13
C₁₈.₁₀(C₂×Dic₃) = C₅₄.D₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	216		C18.10(C2xDic3)	432,19
C₁₈.₁₁(C₂×Dic₃) = C₂²×Dic₂₇	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18.11(C2xDic3)	432,51
C₁₈.₁₂(C₂×Dic₃) = C₂×C₃₆.S₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18.12(C2xDic3)	432,178
C₁₈.₁₃(C₂×Dic₃) = C₃₆.₆₉D₆	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	216		C18.13(C2xDic3)	432,179
C₁₈.₁₄(C₂×Dic₃) = C₄×C₉⋊Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18.14(C2xDic3)	432,180
C₁₈.₁₅(C₂×Dic₃) = C₃₆⋊Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	432		C18.15(C2xDic3)	432,182
C₁₈.₁₆(C₂×Dic₃) = C₆².₁₂₇D₆	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₈	216		C18.16(C2xDic3)	432,198
C₁₈.₁₇(C₂×Dic₃) = C₁₈×C₃⋊C₈	central extension (φ=1)	144		C18.17(C2xDic3)	432,126
C₁₈.₁₈(C₂×Dic₃) = C₉×C₄.Dic₃	central extension (φ=1)	72	2	C18.18(C2xDic3)	432,127
C₁₈.₁₉(C₂×Dic₃) = Dic₃×C₃₆	central extension (φ=1)	144		C18.19(C2xDic3)	432,131
C₁₈.₂₀(C₂×Dic₃) = C₉×C₄⋊Dic₃	central extension (φ=1)	144		C18.20(C2xDic3)	432,133
C₁₈.₂₁(C₂×Dic₃) = C₉×C₆.D₄	central extension (φ=1)	72		C18.21(C2xDic3)	432,165

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Extensions 1→N→G→Q→1 with N=C18 and Q=C2×Dic3

Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂×Dic₃