Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=C₄

Direct product G=N×Q with N=C₃×C₆ and Q=C₄

		d	ρ	Label	ID
C₆×C₁₂		72		C6xC12	72,36

Semidirect products G=N:Q with N=C₃×C₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊C₄ = C₂×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₆	12	4+	(C3xC6):C4	72,45
(C₃×C₆)⋊₂C₄ = C₆×Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₆	24		(C3xC6):2C4	72,29
(C₃×C₆)⋊₃C₄ = C₂×C₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₆	72		(C3xC6):3C4	72,34

Non-split extensions G=N.Q with N=C₃×C₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).C₄ = C₃²⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₆	24	4-	(C3xC6).C4	72,19
(C₃×C₆).₂C₄ = C₃×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₆	24	2	(C3xC6).2C4	72,12
(C₃×C₆).₃C₄ = C₃²⋊₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₆	72		(C3xC6).3C4	72,13

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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C4