Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂×C₁₈

Direct product G=N×Q with N=C₁₂ and Q=C₂×C₁₈

		d	ρ	Label	ID
C₂×C₆×C₃₆		432		C2xC6xC36	432,400

Semidirect products G=N:Q with N=C₁₂ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊(C₂×C₁₈) = S₃×D₄×C₉	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12:(C2xC18)	432,358
C₁₂⋊₂(C₂×C₁₈) = C₁₈×D₁₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12:2(C2xC18)	432,346
C₁₂⋊₃(C₂×C₁₈) = S₃×C₂×C₃₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12:3(C2xC18)	432,345
C₁₂⋊₄(C₂×C₁₈) = D₄×C₃×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12:4(C2xC18)	432,403

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₂×C₁₈) = C₉×D₄⋊S₃	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12.1(C2xC18)	432,150
C₁₂.₂(C₂×C₁₈) = C₉×D₄.S₃	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12.2(C2xC18)	432,151
C₁₂.₃(C₂×C₁₈) = C₉×Q₈⋊₂S₃	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.3(C2xC18)	432,158
C₁₂.₄(C₂×C₁₈) = C₉×C₃⋊Q₁₆	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.4(C2xC18)	432,159
C₁₂.₅(C₂×C₁₈) = C₉×D₄⋊₂S₃	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12.5(C2xC18)	432,359
C₁₂.₆(C₂×C₁₈) = S₃×Q₈×C₉	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.6(C2xC18)	432,366
C₁₂.₇(C₂×C₁₈) = C₉×Q₈⋊₃S₃	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.7(C2xC18)	432,367
C₁₂.₈(C₂×C₁₈) = C₉×C₂₄⋊C₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.8(C2xC18)	432,111
C₁₂.₉(C₂×C₁₈) = C₉×D₂₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.9(C2xC18)	432,112
C₁₂.₁₀(C₂×C₁₈) = C₉×Dic₁₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.10(C2xC18)	432,113
C₁₂.₁₁(C₂×C₁₈) = C₁₈×Dic₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12.11(C2xC18)	432,341
C₁₂.₁₂(C₂×C₁₈) = S₃×C₇₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.12(C2xC18)	432,109
C₁₂.₁₃(C₂×C₁₈) = C₉×C₈⋊S₃	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.13(C2xC18)	432,110
C₁₂.₁₄(C₂×C₁₈) = C₁₈×C₃⋊C₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12.14(C2xC18)	432,126
C₁₂.₁₅(C₂×C₁₈) = C₉×C₄.Dic₃	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	72	2	C12.15(C2xC18)	432,127
C₁₂.₁₆(C₂×C₁₈) = C₉×C₄○D₁₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	72	2	C12.16(C2xC18)	432,347
C₁₂.₁₇(C₂×C₁₈) = D₈×C₂₇	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.17(C2xC18)	432,25
C₁₂.₁₈(C₂×C₁₈) = SD₁₆×C₂₇	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.18(C2xC18)	432,26
C₁₂.₁₉(C₂×C₁₈) = Q₁₆×C₂₇	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432	2	C12.19(C2xC18)	432,27
C₁₂.₂₀(C₂×C₁₈) = D₄×C₅₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.20(C2xC18)	432,54
C₁₂.₂₁(C₂×C₁₈) = Q₈×C₅₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.21(C2xC18)	432,55
C₁₂.₂₂(C₂×C₁₈) = C₄○D₄×C₂₇	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.22(C2xC18)	432,56
C₁₂.₂₃(C₂×C₁₈) = D₈×C₃×C₉	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.23(C2xC18)	432,215
C₁₂.₂₄(C₂×C₁₈) = SD₁₆×C₃×C₉	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.24(C2xC18)	432,218
C₁₂.₂₅(C₂×C₁₈) = Q₁₆×C₃×C₉	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.25(C2xC18)	432,221
C₁₂.₂₆(C₂×C₁₈) = Q₈×C₃×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.26(C2xC18)	432,406
C₁₂.₂₇(C₂×C₁₈) = C₄○D₄×C₃×C₉	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.27(C2xC18)	432,409
C₁₂.₂₈(C₂×C₁₈) = M₄(2)×C₂₇	central extension (φ=1)	216	2	C12.28(C2xC18)	432,24
C₁₂.₂₉(C₂×C₁₈) = M₄(2)×C₃×C₉	central extension (φ=1)	216		C12.29(C2xC18)	432,212

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Extensions 1→N→G→Q→1 with N=C12 and Q=C2×C18

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂×C₁₈