Extensions 1→N→G→Q→1 with N=C₆ and Q=D₂₈

Direct product G=N×Q with N=C₆ and Q=D₂₈

		d	ρ	Label	ID
C₆×D₂₈		168		C6xD28	336,176

Semidirect products G=N:Q with N=C₆ and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₂₈ = C₂×D₈₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₆	168		C6:1D28	336,196
C₆⋊₂D₂₈ = C₂×C₃⋊D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	168		C6:2D28	336,158

Non-split extensions G=N.Q with N=C₆ and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₂₈ = C₈⋊D₂₁	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₆	168	2	C6.1D28	336,92
C₆.₂D₂₈ = D₁₆₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₆	168	2+	C6.2D28	336,93
C₆.₃D₂₈ = Dic₈₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₆	336	2-	C6.3D28	336,94
C₆.₄D₂₈ = C₈₄⋊C₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₆	336		C6.4D28	336,99
C₆.₅D₂₈ = C₂.D₈₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₆	168		C6.5D28	336,100
C₆.₆D₂₈ = C₃⋊D₅₆	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	168	4+	C6.6D28	336,30
C₆.₇D₂₈ = C₆.D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.7D28	336,34
C₆.₈D₂₈ = C₂₁⋊SD₁₆	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	168	4+	C6.8D28	336,35
C₆.₉D₂₈ = C₃⋊Dic₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	336	4-	C6.9D28	336,39
C₆.₁₀D₂₈ = D₁₄⋊Dic₃	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	168		C6.10D28	336,42
C₆.₁₁D₂₈ = D₄₂⋊C₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	168		C6.11D28	336,44
C₆.₁₂D₂₈ = C₁₄.Dic₆	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₆	336		C6.12D28	336,47
C₆.₁₃D₂₈ = C₃×C₅₆⋊C₂	central extension (φ=1)	168	2	C6.13D28	336,60
C₆.₁₄D₂₈ = C₃×D₅₆	central extension (φ=1)	168	2	C6.14D28	336,61
C₆.₁₅D₂₈ = C₃×Dic₂₈	central extension (φ=1)	336	2	C6.15D28	336,62
C₆.₁₆D₂₈ = C₃×C₄⋊Dic₇	central extension (φ=1)	336		C6.16D28	336,67
C₆.₁₇D₂₈ = C₃×D₁₄⋊C₄	central extension (φ=1)	168		C6.17D28	336,68

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁