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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₆×D₉) = C₃×D₄×D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	72	4	C4:1(C6xD9)	432,356
C₄⋊₂(C₆×D₉) = C₆×D₃₆	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₄	144		C4:2(C6xD9)	432,343

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₆×D₉) = C₃×D₄.D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	72	4	C4.1(C6xD9)	432,148
C₄.₂(C₆×D₉) = C₃×D₄⋊D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	72	4	C4.2(C6xD9)	432,149
C₄.₃(C₆×D₉) = C₃×C₉⋊Q₁₆	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	144	4	C4.3(C6xD9)	432,156
C₄.₄(C₆×D₉) = C₃×Q₈⋊₂D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	144	4	C4.4(C6xD9)	432,157
C₄.₅(C₆×D₉) = C₃×D₄⋊₂D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	72	4	C4.5(C6xD9)	432,357
C₄.₆(C₆×D₉) = C₃×Q₈×D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	144	4	C4.6(C6xD9)	432,364
C₄.₇(C₆×D₉) = C₃×Q₈⋊₃D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₄	144	4	C4.7(C6xD9)	432,365
C₄.₈(C₆×D₉) = C₃×Dic₃₆	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₄	144	2	C4.8(C6xD9)	432,104
C₄.₉(C₆×D₉) = C₃×C₇₂⋊C₂	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₄	144	2	C4.9(C6xD9)	432,107
C₄.₁₀(C₆×D₉) = C₃×D₇₂	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₄	144	2	C4.10(C6xD9)	432,108
C₄.₁₁(C₆×D₉) = C₆×Dic₁₈	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₄	144		C4.11(C6xD9)	432,340
C₄.₁₂(C₆×D₉) = D₉×C₂₄	central extension (φ=1)	144	2	C4.12(C6xD9)	432,105
C₄.₁₃(C₆×D₉) = C₃×C₈⋊D₉	central extension (φ=1)	144	2	C4.13(C6xD9)	432,106
C₄.₁₄(C₆×D₉) = C₆×C₉⋊C₈	central extension (φ=1)	144		C4.14(C6xD9)	432,124
C₄.₁₅(C₆×D₉) = C₃×C₄.Dic₉	central extension (φ=1)	72	2	C4.15(C6xD9)	432,125
C₄.₁₆(C₆×D₉) = C₃×D₃₆⋊₅C₂	central extension (φ=1)	72	2	C4.16(C6xD9)	432,344

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