Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄

Direct product G=N×Q with N=C₆ and Q=D₄

		d	ρ	Label	ID
C₆×D₄		24		C6xD4	48,45

Semidirect products G=N:Q with N=C₆ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₄ = C₂×D₁₂	φ: D₄/C₄ → C₂ ⊆ Aut C₆	24		C6:1D4	48,36
C₆⋊₂D₄ = C₂×C₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₆	24		C6:2D4	48,43

Non-split extensions G=N.Q with N=C₆ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₄ = C₂₄⋊C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₆	24	2	C6.1D4	48,6
C₆.₂D₄ = D₂₄	φ: D₄/C₄ → C₂ ⊆ Aut C₆	24	2+	C6.2D4	48,7
C₆.₃D₄ = Dic₁₂	φ: D₄/C₄ → C₂ ⊆ Aut C₆	48	2-	C6.3D4	48,8
C₆.₄D₄ = C₄⋊Dic₃	φ: D₄/C₄ → C₂ ⊆ Aut C₆	48		C6.4D4	48,13
C₆.₅D₄ = Dic₃⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₆	48		C6.5D4	48,12
C₆.₆D₄ = D₆⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₆	24		C6.6D4	48,14
C₆.₇D₄ = D₄⋊S₃	φ: D₄/C₂² → C₂ ⊆ Aut C₆	24	4+	C6.7D4	48,15
C₆.₈D₄ = D₄.S₃	φ: D₄/C₂² → C₂ ⊆ Aut C₆	24	4-	C6.8D4	48,16
C₆.₉D₄ = Q₈⋊₂S₃	φ: D₄/C₂² → C₂ ⊆ Aut C₆	24	4+	C6.9D4	48,17
C₆.₁₀D₄ = C₃⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₆	48	4-	C6.10D4	48,18
C₆.₁₁D₄ = C₆.D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₆	24		C6.11D4	48,19
C₆.₁₂D₄ = C₃×C₂²⋊C₄	central extension (φ=1)	24		C6.12D4	48,21
C₆.₁₃D₄ = C₃×C₄⋊C₄	central extension (φ=1)	48		C6.13D4	48,22
C₆.₁₄D₄ = C₃×D₈	central extension (φ=1)	24	2	C6.14D4	48,25
C₆.₁₅D₄ = C₃×SD₁₆	central extension (φ=1)	24	2	C6.15D4	48,26
C₆.₁₆D₄ = C₃×Q₁₆	central extension (φ=1)	48	2	C6.16D4	48,27

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