Extensions 1→N→G→Q→1 with N=C₃² and Q=C₈○D₄

Direct product G=N×Q with N=C₃² and Q=C₈○D₄

		d	ρ	Label	ID
C₃²×C₈○D₄		144		C3^2xC8oD4	288,828

Semidirect products G=N:Q with N=C₃² and Q=C₈○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₈○D₄) = C₂₄.₆₃D₆	φ: C₈○D₄/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:1(C8oD4)	288,451
C₃²⋊₂(C₈○D₄) = C₂₄.₆₄D₆	φ: C₈○D₄/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:2(C8oD4)	288,452
C₃²⋊₃(C₈○D₄) = C₂₄.D₆	φ: C₈○D₄/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:3(C8oD4)	288,453
C₃²⋊₄(C₈○D₄) = D₁₂.₂Dic₃	φ: C₈○D₄/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:4(C8oD4)	288,462
C₃²⋊₅(C₈○D₄) = D₁₂.Dic₃	φ: C₈○D₄/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:5(C8oD4)	288,463
C₃²⋊₆(C₈○D₄) = C₃⋊C₈.₂₂D₆	φ: C₈○D₄/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:6(C8oD4)	288,465
C₃²⋊₇(C₈○D₄) = C₆².(C₂×C₄)	φ: C₈○D₄/D₄ → C₄ ⊆ Aut C₃²	48	8-	C3^2:7(C8oD4)	288,935
C₃²⋊₈(C₈○D₄) = C₁₂⋊S₃.C₄	φ: C₈○D₄/Q₈ → C₄ ⊆ Aut C₃²	48	8+	C3^2:8(C8oD4)	288,937
C₃²⋊₉(C₈○D₄) = C₃×C₈○D₁₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₃²	48	2	C3^2:9(C8oD4)	288,672
C₃²⋊₁₀(C₈○D₄) = C₂₄.₉₅D₆	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₃²	144		C3^2:10(C8oD4)	288,758
C₃²⋊₁₁(C₈○D₄) = C₃×D₁₂.C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₃²	48	4	C3^2:11(C8oD4)	288,678
C₃²⋊₁₂(C₈○D₄) = C₂₄.₄₇D₆	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₃²	144		C3^2:12(C8oD4)	288,764
C₃²⋊₁₃(C₈○D₄) = C₃×D₄.Dic₃	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₃²	48	4	C3^2:13(C8oD4)	288,719
C₃²⋊₁₄(C₈○D₄) = D₄.(C₃⋊Dic₃)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₃²	144		C3^2:14(C8oD4)	288,805

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