Extensions 1→N→G→Q→1 with N=C₆ and Q=D₁₈

Direct product G=N×Q with N=C₆ and Q=D₁₈

		d	ρ	Label	ID
C₂×C₆×D₉		72		C2xC6xD9	216,108

Semidirect products G=N:Q with N=C₆ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₁₈ = C₂×S₃×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	36	4+	C6:1D18	216,101
C₆⋊₂D₁₈ = C₂²×C₉⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108		C6:2D18	216,112

Non-split extensions G=N.Q with N=C₆ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₁₈ = C₉⋊Dic₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	72	4-	C6.1D18	216,26
C₆.₂D₁₈ = Dic₃×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	72	4-	C6.2D18	216,27
C₆.₃D₁₈ = C₁₈.D₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	36	4+	C6.3D18	216,28
C₆.₄D₁₈ = C₃⋊D₃₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	36	4+	C6.4D18	216,29
C₆.₅D₁₈ = S₃×Dic₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	72	4-	C6.5D18	216,30
C₆.₆D₁₈ = D₆⋊D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	72	4-	C6.6D18	216,31
C₆.₇D₁₈ = C₉⋊D₁₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₆	36	4+	C6.7D18	216,32
C₆.₈D₁₈ = Dic₅₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	216	2-	C6.8D18	216,4
C₆.₉D₁₈ = C₄×D₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108	2	C6.9D18	216,5
C₆.₁₀D₁₈ = D₁₀₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108	2+	C6.10D18	216,6
C₆.₁₁D₁₈ = C₂×Dic₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	216		C6.11D18	216,7
C₆.₁₂D₁₈ = C₂₇⋊D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108	2	C6.12D18	216,8
C₆.₁₃D₁₈ = C₂²×D₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108		C6.13D18	216,23
C₆.₁₄D₁₈ = C₁₂.D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	216		C6.14D18	216,63
C₆.₁₅D₁₈ = C₄×C₉⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108		C6.15D18	216,64
C₆.₁₆D₁₈ = C₃₆⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108		C6.16D18	216,65
C₆.₁₇D₁₈ = C₂×C₉⋊Dic₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	216		C6.17D18	216,69
C₆.₁₈D₁₈ = C₆.D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₆	108		C6.18D18	216,70
C₆.₁₉D₁₈ = C₃×Dic₁₈	central extension (φ=1)	72	2	C6.19D18	216,43
C₆.₂₀D₁₈ = C₁₂×D₉	central extension (φ=1)	72	2	C6.20D18	216,45
C₆.₂₁D₁₈ = C₃×D₃₆	central extension (φ=1)	72	2	C6.21D18	216,46
C₆.₂₂D₁₈ = C₆×Dic₉	central extension (φ=1)	72		C6.22D18	216,55
C₆.₂₃D₁₈ = C₃×C₉⋊D₄	central extension (φ=1)	36	2	C6.23D18	216,57

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C6 and Q=D18

Extensions 1→N→G→Q→1 with N=C₆ and Q=D₁₈