Extensions 1→N→G→Q→1 with N=C₃×C₁₂ and Q=C₃²

Direct product G=N×Q with N=C₃×C₁₂ and Q=C₃²

		d	ρ	Label	ID
C₃³×C₁₂		324		C3^3xC12	324,159

Semidirect products G=N:Q with N=C₃×C₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂)⋊C₃² = C₁₂×He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₂	108		(C3xC12):C3^2	324,106

Non-split extensions G=N.Q with N=C₃×C₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂).₁C₃² = C₄×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₂	36	3	(C3xC12).1C3^2	324,31
(C₃×C₁₂).₂C₃² = C₄×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₂	108	3	(C3xC12).2C3^2	324,32
(C₃×C₁₂).₃C₃² = C₄×He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₂	108	3	(C3xC12).3C3^2	324,33
(C₃×C₁₂).₄C₃² = C₄×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₂	108	3	(C3xC12).4C3^2	324,34
(C₃×C₁₂).₅C₃² = C₄×C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₂	108	3	(C3xC12).5C3^2	324,108
(C₃×C₁₂).₆C₃² = C₄×C₃²⋊C₉	central extension (φ=1)	108		(C3xC12).6C3^2	324,27
(C₃×C₁₂).₇C₃² = C₄×C₉⋊C₉	central extension (φ=1)	324		(C3xC12).7C3^2	324,28
(C₃×C₁₂).₈C₃² = C₁₂×3_-¹⁺²	central extension (φ=1)	108		(C3xC12).8C3^2	324,107

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