Extensions 1→N→G→Q→1 with N=C₃² and Q=C₈⋊C₄

Direct product G=N×Q with N=C₃² and Q=C₈⋊C₄

		d	ρ	Label	ID
C₃²×C₈⋊C₄		288		C3^2xC8:C4	288,315

Semidirect products G=N:Q with N=C₃² and Q=C₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₈⋊C₄) = (C₃×C₂₄)⋊C₄	φ: C₈⋊C₄/C₈ → C₄ ⊆ Aut C₃²	48	4	C3^2:1(C8:C4)	288,415
C₃²⋊₂(C₈⋊C₄) = C₃²⋊₂C₈⋊C₄	φ: C₈⋊C₄/C₂×C₄ → C₄ ⊆ Aut C₃²	96		C3^2:2(C8:C4)	288,425
C₃²⋊₃(C₈⋊C₄) = C₃⋊C₈⋊Dic₃	φ: C₈⋊C₄/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:3(C8:C4)	288,202
C₃²⋊₄(C₈⋊C₄) = C₂.Dic₃²	φ: C₈⋊C₄/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:4(C8:C4)	288,203
C₃²⋊₅(C₈⋊C₄) = C₃×C₄².S₃	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₃²	96		C3^2:5(C8:C4)	288,237
C₃²⋊₆(C₈⋊C₄) = C₁₂².C₂	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₃²	288		C3^2:6(C8:C4)	288,278
C₃²⋊₇(C₈⋊C₄) = C₃×C₂₄⋊C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₃²	96		C3^2:7(C8:C4)	288,249
C₃²⋊₈(C₈⋊C₄) = C₂₄⋊Dic₃	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₃²	288		C3^2:8(C8:C4)	288,290

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁