Extensions 1→N→G→Q→1 with N=C₄ and Q=C₉×Dic₃

Direct product G=N×Q with N=C₄ and Q=C₉×Dic₃

		d	ρ	Label	ID
Dic₃×C₃₆		144		Dic3xC36	432,131

Semidirect products G=N:Q with N=C₄ and Q=C₉×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₉×Dic₃) = C₉×C₄⋊Dic₃	φ: C₉×Dic₃/C₃×C₁₈ → C₂ ⊆ Aut C₄	144		C4:(C9xDic3)	432,133

Non-split extensions G=N.Q with N=C₄ and Q=C₉×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₉×Dic₃) = C₉×C₄.Dic₃	φ: C₉×Dic₃/C₃×C₁₈ → C₂ ⊆ Aut C₄	72	2	C4.(C9xDic3)	432,127
C₄.₂(C₉×Dic₃) = C₉×C₃⋊C₁₆	central extension (φ=1)	144	2	C4.2(C9xDic3)	432,29
C₄.₃(C₉×Dic₃) = C₁₈×C₃⋊C₈	central extension (φ=1)	144		C4.3(C9xDic3)	432,126

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C9×Dic3