Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.₅S₄

Direct product G=N×Q with N=C₃ and Q=C₆.₅S₄

		d	ρ	Label	ID
C₃×C₆.₅S₄		48	4	C3xC6.5S4	432,616

Semidirect products G=N:Q with N=C₃ and Q=C₆.₅S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₆.₅S₄) = C₃²⋊₄CSU₂(𝔽₃)	φ: C₆.₅S₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144		C3:(C6.5S4)	432,619

Non-split extensions G=N.Q with N=C₃ and Q=C₆.₅S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆.₅S₄) = C₁₈.₅S₄	φ: C₆.₅S₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	4-	C3.1(C6.5S4)	432,252
C₃.₂(C₆.₅S₄) = C₃².₃CSU₂(𝔽₃)	φ: C₆.₅S₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	432		C3.2(C6.5S4)	432,255
C₃.₃(C₆.₅S₄) = C₃²⋊₂CSU₂(𝔽₃)	central stem extension (φ=1)	144	6	C3.3(C6.5S4)	432,257

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.5S4