Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄×D₉

Direct product G=N×Q with N=C₆ and Q=C₄×D₉

		d	ρ	Label	ID
D₉×C₂×C₁₂		144		D9xC2xC12	432,342

Semidirect products G=N:Q with N=C₆ and Q=C₄×D₉

extension	φ:Q→Aut N	d	Label	ID
C₆⋊₁(C₄×D₉) = C₂×C₁₈.D₆	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₆	72	C6:1(C4xD9)	432,306
C₆⋊₂(C₄×D₉) = C₂×C₄×C₉⋊S₃	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216	C6:2(C4xD9)	432,381
C₆⋊₃(C₄×D₉) = C₂×Dic₃×D₉	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₆	144	C6:3(C4xD9)	432,304

Non-split extensions G=N.Q with N=C₆ and Q=C₄×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄×D₉) = C₃₆.₃₈D₆	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₆	72	4	C6.1(C4xD9)	432,59
C₆.₂(C₄×D₉) = C₃₆.₄₀D₆	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₆	72	4	C6.2(C4xD9)	432,61
C₆.₃(C₄×D₉) = C₁₈.Dic₆	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₆	144		C6.3(C4xD9)	432,89
C₆.₄(C₄×D₉) = C₆.₁₈D₃₆	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₆	72		C6.4(C4xD9)	432,92
C₆.₅(C₄×D₉) = C₈×D₂₇	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216	2	C6.5(C4xD9)	432,5
C₆.₆(C₄×D₉) = C₈⋊D₂₇	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216	2	C6.6(C4xD9)	432,6
C₆.₇(C₄×D₉) = C₄×Dic₂₇	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.7(C4xD9)	432,11
C₆.₈(C₄×D₉) = Dic₂₇⋊C₄	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.8(C4xD9)	432,12
C₆.₉(C₄×D₉) = D₅₄⋊C₄	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.9(C4xD9)	432,14
C₆.₁₀(C₄×D₉) = C₂×C₄×D₂₇	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.10(C4xD9)	432,44
C₆.₁₁(C₄×D₉) = C₈×C₉⋊S₃	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.11(C4xD9)	432,169
C₆.₁₂(C₄×D₉) = C₇₂⋊S₃	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.12(C4xD9)	432,170
C₆.₁₃(C₄×D₉) = C₄×C₉⋊Dic₃	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.13(C4xD9)	432,180
C₆.₁₄(C₄×D₉) = C₆.Dic₁₈	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.14(C4xD9)	432,181
C₆.₁₅(C₄×D₉) = C₆.₁₁D₃₆	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.15(C4xD9)	432,183
C₆.₁₆(C₄×D₉) = D₉×C₃⋊C₈	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₆	144	4	C6.16(C4xD9)	432,58
C₆.₁₇(C₄×D₉) = C₃₆.₃₉D₆	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₆	144	4	C6.17(C4xD9)	432,60
C₆.₁₈(C₄×D₉) = Dic₃×Dic₉	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.18(C4xD9)	432,87
C₆.₁₉(C₄×D₉) = Dic₉⋊Dic₃	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.19(C4xD9)	432,88
C₆.₂₀(C₄×D₉) = D₁₈⋊Dic₃	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.20(C4xD9)	432,91
C₆.₂₁(C₄×D₉) = D₉×C₂₄	central extension (φ=1)	144	2	C6.21(C4xD9)	432,105
C₆.₂₂(C₄×D₉) = C₃×C₈⋊D₉	central extension (φ=1)	144	2	C6.22(C4xD9)	432,106
C₆.₂₃(C₄×D₉) = C₁₂×Dic₉	central extension (φ=1)	144		C6.23(C4xD9)	432,128
C₆.₂₄(C₄×D₉) = C₃×Dic₉⋊C₄	central extension (φ=1)	144		C6.24(C4xD9)	432,129
C₆.₂₅(C₄×D₉) = C₃×D₁₈⋊C₄	central extension (φ=1)	144		C6.25(C4xD9)	432,134

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Extensions 1→N→G→Q→1 with N=C6 and Q=C4×D9

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄×D₉