Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂²

Direct product G=N×Q with N=C₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₆		24		C2^2xC6	24,15

Semidirect products G=N:Q with N=C₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊C₂² = C₂²×S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆	12		C6:C2^2	24,14

Non-split extensions G=N.Q with N=C₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁C₂² = Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆	24	2-	C6.1C2^2	24,4
C₆.₂C₂² = C₄×S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆	12	2	C6.2C2^2	24,5
C₆.₃C₂² = D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆	12	2+	C6.3C2^2	24,6
C₆.₄C₂² = C₂×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆	24		C6.4C2^2	24,7
C₆.₅C₂² = C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆	12	2	C6.5C2^2	24,8
C₆.₆C₂² = C₃×D₄	central extension (φ=1)	12	2	C6.6C2^2	24,10
C₆.₇C₂² = C₃×Q₈	central extension (φ=1)	24	2	C6.7C2^2	24,11

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