Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄○D₈

Direct product G=N×Q with N=C₃² and Q=C₄○D₈

		d	ρ	Label	ID
C₃²×C₄○D₈		144		C3^2xC4oD8	288,832

Semidirect products G=N:Q with N=C₃² and Q=C₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₄○D₈) = C₃²⋊D₈⋊₅C₂	φ: C₄○D₈/C₄ → D₄ ⊆ Aut C₃²	48	4	C3^2:1(C4oD8)	288,871
C₃²⋊₂(C₄○D₈) = C₆².₁₃D₄	φ: C₄○D₈/C₂² → D₄ ⊆ Aut C₃²	48	8-	C3^2:2(C4oD8)	288,885
C₃²⋊₃(C₄○D₈) = D₆.₁D₁₂	φ: C₄○D₈/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:3(C4oD8)	288,454
C₃²⋊₄(C₄○D₈) = D₂₄⋊₇S₃	φ: C₄○D₈/C₈ → C₂² ⊆ Aut C₃²	96	4-	C3^2:4(C4oD8)	288,455
C₃²⋊₅(C₄○D₈) = D₆.₃D₁₂	φ: C₄○D₈/C₈ → C₂² ⊆ Aut C₃²	48	4+	C3^2:5(C4oD8)	288,456
C₃²⋊₆(C₄○D₈) = D₁₂.₂D₆	φ: C₄○D₈/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:6(C4oD8)	288,457
C₃²⋊₇(C₄○D₈) = D₂₄⋊₅S₃	φ: C₄○D₈/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:7(C4oD8)	288,458
C₃²⋊₈(C₄○D₈) = D₁₂.₃₀D₆	φ: C₄○D₈/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:8(C4oD8)	288,470
C₃²⋊₉(C₄○D₈) = D₁₂.₂₇D₆	φ: C₄○D₈/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:9(C4oD8)	288,477
C₃²⋊₁₀(C₄○D₈) = D₁₂.₂₂D₆	φ: C₄○D₈/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:10(C4oD8)	288,581
C₃²⋊₁₁(C₄○D₈) = Dic₆.₂₀D₆	φ: C₄○D₈/D₄ → C₂² ⊆ Aut C₃²	48	8+	C3^2:11(C4oD8)	288,583
C₃²⋊₁₂(C₄○D₈) = D₁₂.₈D₆	φ: C₄○D₈/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:12(C4oD8)	288,584
C₃²⋊₁₃(C₄○D₈) = D₁₂.₁₂D₆	φ: C₄○D₈/Q₈ → C₂² ⊆ Aut C₃²	96	8-	C3^2:13(C4oD8)	288,595
C₃²⋊₁₄(C₄○D₈) = D₁₂.₁₃D₆	φ: C₄○D₈/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:14(C4oD8)	288,597
C₃²⋊₁₅(C₄○D₈) = D₁₂.₁₄D₆	φ: C₄○D₈/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:15(C4oD8)	288,598
C₃²⋊₁₆(C₄○D₈) = C₃×C₄○D₂₄	φ: C₄○D₈/C₂×C₈ → C₂ ⊆ Aut C₃²	48	2	C3^2:16(C4oD8)	288,675
C₃²⋊₁₇(C₄○D₈) = C₂₄.₇₈D₆	φ: C₄○D₈/C₂×C₈ → C₂ ⊆ Aut C₃²	144		C3^2:17(C4oD8)	288,761
C₃²⋊₁₈(C₄○D₈) = C₃×D₈⋊₃S₃	φ: C₄○D₈/D₈ → C₂ ⊆ Aut C₃²	48	4	C3^2:18(C4oD8)	288,683
C₃²⋊₁₉(C₄○D₈) = C₂₄.₂₆D₆	φ: C₄○D₈/D₈ → C₂ ⊆ Aut C₃²	144		C3^2:19(C4oD8)	288,769
C₃²⋊₂₀(C₄○D₈) = C₃×Q₈.₇D₆	φ: C₄○D₈/SD₁₆ → C₂ ⊆ Aut C₃²	48	4	C3^2:20(C4oD8)	288,687
C₃²⋊₂₁(C₄○D₈) = C₂₄.₄₀D₆	φ: C₄○D₈/SD₁₆ → C₂ ⊆ Aut C₃²	144		C3^2:21(C4oD8)	288,773
C₃²⋊₂₂(C₄○D₈) = C₃×D₂₄⋊C₂	φ: C₄○D₈/Q₁₆ → C₂ ⊆ Aut C₃²	96	4	C3^2:22(C4oD8)	288,690
C₃²⋊₂₃(C₄○D₈) = C₂₄.₂₈D₆	φ: C₄○D₈/Q₁₆ → C₂ ⊆ Aut C₃²	144		C3^2:23(C4oD8)	288,776
C₃²⋊₂₄(C₄○D₈) = C₃×Q₈.₁₃D₆	φ: C₄○D₈/C₄○D₄ → C₂ ⊆ Aut C₃²	48	4	C3^2:24(C4oD8)	288,721
C₃²⋊₂₅(C₄○D₈) = C₆².₇₄D₄	φ: C₄○D₈/C₄○D₄ → C₂ ⊆ Aut C₃²	144		C3^2:25(C4oD8)	288,807

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Extensions 1→N→G→Q→1 with N=C32 and Q=C4○D8

Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄○D₈