Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₄²

Direct product G=N×Q with N=C₃³ and Q=C₄²

		d	ρ	Label	ID
C₃×C₁₂²		432		C3xC12^2	432,512

Semidirect products G=N:Q with N=C₃³ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊C₄² = Dic₃×C₃²⋊C₄	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃³	48	8-	C3^3:C4^2	432,567
C₃³⋊₂C₄² = C₁₂×C₃²⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃³	48	4	C3^3:2C4^2	432,630
C₃³⋊₃C₄² = C₄×C₃³⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃³	48	4	C3^3:3C4^2	432,637
C₃³⋊₄C₄² = C₃×Dic₃²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃³	48		C3^3:4C4^2	432,425
C₃³⋊₅C₄² = Dic₃×C₃⋊Dic₃	φ: C₄²/C₂² → C₂² ⊆ Aut C₃³	144		C3^3:5C4^2	432,448
C₃³⋊₆C₄² = C₃³⋊₆C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃³	48		C3^3:6C4^2	432,460
C₃³⋊₇C₄² = Dic₃×C₃×C₁₂	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃³	144		C3^3:7C4^2	432,471
C₃³⋊₈C₄² = C₁₂×C₃⋊Dic₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃³	144		C3^3:8C4^2	432,487
C₃³⋊₉C₄² = C₄×C₃³⋊₅C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃³	432		C3^3:9C4^2	432,503

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁