Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×C₁₈

Direct product G=N×Q with N=C₆ and Q=C₂×C₁₈

		d	ρ	Label	ID
C₂×C₆×C₁₈		216		C2xC6xC18	216,114

Semidirect products G=N:Q with N=C₆ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₂×C₁₈) = S₃×C₂×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₆	72		C6:(C2xC18)	216,109

Non-split extensions G=N.Q with N=C₆ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×C₁₈) = C₉×Dic₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₆	72	2	C6.1(C2xC18)	216,44
C₆.₂(C₂×C₁₈) = S₃×C₃₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₆	72	2	C6.2(C2xC18)	216,47
C₆.₃(C₂×C₁₈) = C₉×D₁₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₆	72	2	C6.3(C2xC18)	216,48
C₆.₄(C₂×C₁₈) = Dic₃×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₆	72		C6.4(C2xC18)	216,56
C₆.₅(C₂×C₁₈) = C₉×C₃⋊D₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₆	36	2	C6.5(C2xC18)	216,58
C₆.₆(C₂×C₁₈) = D₄×C₂₇	central extension (φ=1)	108	2	C6.6(C2xC18)	216,10
C₆.₇(C₂×C₁₈) = Q₈×C₂₇	central extension (φ=1)	216	2	C6.7(C2xC18)	216,11
C₆.₈(C₂×C₁₈) = D₄×C₃×C₉	central extension (φ=1)	108		C6.8(C2xC18)	216,76
C₆.₉(C₂×C₁₈) = Q₈×C₃×C₉	central extension (φ=1)	216		C6.9(C2xC18)	216,79

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁