Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄×C₉

Direct product G=N×Q with N=C₆ and Q=D₄×C₉

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=C₆ and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(D₄×C₉) = C₁₈×D₁₂	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₆	144		C6:1(D4xC9)	432,346
C₆⋊₂(D₄×C₉) = C₁₈×C₃⋊D₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	72		C6:2(D4xC9)	432,375

Non-split extensions G=N.Q with N=C₆ and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(D₄×C₉) = C₉×C₂₄⋊C₂	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₆	144	2	C6.1(D4xC9)	432,111
C₆.₂(D₄×C₉) = C₉×D₂₄	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₆	144	2	C6.2(D4xC9)	432,112
C₆.₃(D₄×C₉) = C₉×Dic₁₂	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₆	144	2	C6.3(D4xC9)	432,113
C₆.₄(D₄×C₉) = C₉×C₄⋊Dic₃	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₆	144		C6.4(D4xC9)	432,133
C₆.₅(D₄×C₉) = C₉×Dic₃⋊C₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	144		C6.5(D4xC9)	432,132
C₆.₆(D₄×C₉) = C₉×D₆⋊C₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	144		C6.6(D4xC9)	432,135
C₆.₇(D₄×C₉) = C₉×D₄⋊S₃	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	72	4	C6.7(D4xC9)	432,150
C₆.₈(D₄×C₉) = C₉×D₄.S₃	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	72	4	C6.8(D4xC9)	432,151
C₆.₉(D₄×C₉) = C₉×Q₈⋊₂S₃	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	144	4	C6.9(D4xC9)	432,158
C₆.₁₀(D₄×C₉) = C₉×C₃⋊Q₁₆	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	144	4	C6.10(D4xC9)	432,159
C₆.₁₁(D₄×C₉) = C₉×C₆.D₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	72		C6.11(D4xC9)	432,165
C₆.₁₂(D₄×C₉) = C₂²⋊C₄×C₂₇	central extension (φ=1)	216		C6.12(D4xC9)	432,21
C₆.₁₃(D₄×C₉) = C₄⋊C₄×C₂₇	central extension (φ=1)	432		C6.13(D4xC9)	432,22
C₆.₁₄(D₄×C₉) = D₈×C₂₇	central extension (φ=1)	216	2	C6.14(D4xC9)	432,25
C₆.₁₅(D₄×C₉) = SD₁₆×C₂₇	central extension (φ=1)	216	2	C6.15(D4xC9)	432,26
C₆.₁₆(D₄×C₉) = Q₁₆×C₂₇	central extension (φ=1)	432	2	C6.16(D4xC9)	432,27
C₆.₁₇(D₄×C₉) = D₄×C₅₄	central extension (φ=1)	216		C6.17(D4xC9)	432,54
C₆.₁₈(D₄×C₉) = C₂²⋊C₄×C₃×C₉	central extension (φ=1)	216		C6.18(D4xC9)	432,203
C₆.₁₉(D₄×C₉) = C₄⋊C₄×C₃×C₉	central extension (φ=1)	432		C6.19(D4xC9)	432,206
C₆.₂₀(D₄×C₉) = D₈×C₃×C₉	central extension (φ=1)	216		C6.20(D4xC9)	432,215
C₆.₂₁(D₄×C₉) = SD₁₆×C₃×C₉	central extension (φ=1)	216		C6.21(D4xC9)	432,218
C₆.₂₂(D₄×C₉) = Q₁₆×C₃×C₉	central extension (φ=1)	432		C6.22(D4xC9)	432,221

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C6 and Q=D4×C9

Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄×C₉