Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₃²

Direct product G=N×Q with N=C₂×C₆ and Q=C₃²

		d	ρ	Label	ID
C₃×C₆²		108		C3xC6^2	108,45

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₃² = C₃²×A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂×C₆	36		(C2xC6):C3^2	108,41

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁C₃² = C₉×A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂×C₆	36	3	(C2xC6).1C3^2	108,18
(C₂×C₆).₂C₃² = C₉⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂×C₆	36	3	(C2xC6).2C3^2	108,19
(C₂×C₆).₃C₃² = C₃×C₃.A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂×C₆	54		(C2xC6).3C3^2	108,20
(C₂×C₆).₄C₃² = C₃².A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂×C₆	18	3	(C2xC6).4C3^2	108,21
(C₂×C₆).₅C₃² = C₃²⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂×C₆	18	3	(C2xC6).5C3^2	108,22
(C₂×C₆).₆C₃² = C₂²×He₃	central extension (φ=1)	36		(C2xC6).6C3^2	108,30
(C₂×C₆).₇C₃² = C₂²×3_-¹⁺²	central extension (φ=1)	36		(C2xC6).7C3^2	108,31

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