Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄²

Direct product G=N×Q with N=C₆ and Q=C₄²

		d	ρ	Label	ID
C₂×C₄×C₁₂		96		C2xC4xC12	96,161

Semidirect products G=N:Q with N=C₆ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊C₄² = C₂×C₄×Dic₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6:C4^2	96,129

Non-split extensions G=N.Q with N=C₆ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁C₄² = C₄×C₃⋊C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.1C4^2	96,9
C₆.₂C₄² = C₄².S₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.2C4^2	96,10
C₆.₃C₄² = C₈×Dic₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.3C4^2	96,20
C₆.₄C₄² = C₂₄⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.4C4^2	96,22
C₆.₅C₄² = C₆.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.5C4^2	96,38
C₆.₆C₄² = C₃×C₂.C₄²	central extension (φ=1)	96		C6.6C4^2	96,45
C₆.₇C₄² = C₃×C₈⋊C₄	central extension (φ=1)	96		C6.7C4^2	96,47

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