Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₂⁴

Direct product G=N×Q with N=C₃³ and Q=C₂⁴

		d	ρ	Label	ID
C₂×C₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₃³ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊C₂⁴ = C₂×S₃³	φ: C₂⁴/C₂ → C₂³ ⊆ Aut C₃³	24	8+	C3^3:C2^4	432,759
C₃³⋊₂C₂⁴ = S₃²×C₂×C₆	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₃³	48		C3^3:2C2^4	432,767
C₃³⋊₃C₂⁴ = C₂²×S₃×C₃⋊S₃	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₃³	72		C3^3:3C2^4	432,768
C₃³⋊₄C₂⁴ = C₂²×C₃²⋊₄D₆	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₃³	48		C3^3:4C2^4	432,769
C₃³⋊₅C₂⁴ = S₃×C₂×C₆²	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₃³	144		C3^3:5C2^4	432,772
C₃³⋊₆C₂⁴ = C₃⋊S₃×C₂²×C₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₃³	144		C3^3:6C2^4	432,773
C₃³⋊₇C₂⁴ = C₂³×C₃³⋊C₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₃³	216		C3^3:7C2^4	432,774

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