Extensions 1→N→G→Q→1 with N=C₄₆ and Q=C₂²

Direct product G=N×Q with N=C₄₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄₆		184		C2^2xC46	184,12

Semidirect products G=N:Q with N=C₄₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₆⋊C₂² = C₂²×D₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₄₆	92		C46:C2^2	184,11

Non-split extensions G=N.Q with N=C₄₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₆.₁C₂² = Dic₄₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₄₆	184	2-	C46.1C2^2	184,3
C₄₆.₂C₂² = C₄×D₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₄₆	92	2	C46.2C2^2	184,4
C₄₆.₃C₂² = D₉₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₄₆	92	2+	C46.3C2^2	184,5
C₄₆.₄C₂² = C₂×Dic₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₄₆	184		C46.4C2^2	184,6
C₄₆.₅C₂² = C₂₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₄₆	92	2	C46.5C2^2	184,7
C₄₆.₆C₂² = D₄×C₂₃	central extension (φ=1)	92	2	C46.6C2^2	184,9
C₄₆.₇C₂² = Q₈×C₂₃	central extension (φ=1)	184	2	C46.7C2^2	184,10

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁