Extensions 1→N→G→Q→1 with N=C₃ and Q=He₃⋊₃C₄

Direct product G=N×Q with N=C₃ and Q=He₃⋊₃C₄

		d	ρ	Label	ID
C₃×He₃⋊₃C₄		108		C3xHe3:3C4	324,99

Semidirect products G=N:Q with N=C₃ and Q=He₃⋊₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(He₃⋊₃C₄) = He₃⋊₆Dic₃	φ: He₃⋊₃C₄/C₂×He₃ → C₂ ⊆ Aut C₃	36	6	C3:(He3:3C4)	324,104

Non-split extensions G=N.Q with N=C₃ and Q=He₃⋊₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(He₃⋊₃C₄) = C₃²⋊₂Dic₉	φ: He₃⋊₃C₄/C₂×He₃ → C₂ ⊆ Aut C₃	36	6	C3.1(He3:3C4)	324,20
C₃.₂(He₃⋊₃C₄) = C₃³⋊Dic₃	φ: He₃⋊₃C₄/C₂×He₃ → C₂ ⊆ Aut C₃	36	6-	C3.2(He3:3C4)	324,22
C₃.₃(He₃⋊₃C₄) = He₃.₃Dic₃	φ: He₃⋊₃C₄/C₂×He₃ → C₂ ⊆ Aut C₃	108	6-	C3.3(He3:3C4)	324,23
C₃.₄(He₃⋊₃C₄) = He₃⋊Dic₃	φ: He₃⋊₃C₄/C₂×He₃ → C₂ ⊆ Aut C₃	108	6-	C3.4(He3:3C4)	324,24
C₃.₅(He₃⋊₃C₄) = 3_-¹⁺².Dic₃	φ: He₃⋊₃C₄/C₂×He₃ → C₂ ⊆ Aut C₃	108	6-	C3.5(He3:3C4)	324,25

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