Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₃×D₉

Direct product G=N×Q with N=C₂×C₄ and Q=C₃×D₉

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

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₃×D₉) = C₃×D₁₈⋊C₄	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4):1(C3xD9)	432,134
(C₂×C₄)⋊₂(C₃×D₉) = C₆×D₃₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4):2(C3xD9)	432,343
(C₂×C₄)⋊₃(C₃×D₉) = C₃×D₃₆⋊₅C₂	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	72	2	(C2xC4):3(C3xD9)	432,344

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₃×D₉) = C₃×Dic₉⋊C₄	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).1(C3xD9)	432,129
(C₂×C₄).₂(C₃×D₉) = C₃×C₄.Dic₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	72	2	(C2xC4).2(C3xD9)	432,125
(C₂×C₄).₃(C₃×D₉) = C₃×C₄⋊Dic₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).3(C3xD9)	432,130
(C₂×C₄).₄(C₃×D₉) = C₆×Dic₁₈	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).4(C3xD9)	432,340
(C₂×C₄).₅(C₃×D₉) = C₆×C₉⋊C₈	central extension (φ=1)	144		(C2xC4).5(C3xD9)	432,124
(C₂×C₄).₆(C₃×D₉) = C₁₂×Dic₉	central extension (φ=1)	144		(C2xC4).6(C3xD9)	432,128

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁