Extensions 1→N→G→Q→1 with N=C₃² and Q=C₈.C₂²

Direct product G=N×Q with N=C₃² and Q=C₈.C₂²

		d	ρ	Label	ID
C₃²×C₈.C₂²		144		C3^2xC8.C2^2	288,834

Semidirect products G=N:Q with N=C₃² and Q=C₈.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₈.C₂²) = C₃²⋊Q₁₆⋊C₂	φ: C₈.C₂²/C₄ → D₄ ⊆ Aut C₃²	48	4	C3^2:1(C8.C2^2)	288,874
C₃²⋊₂(C₈.C₂²) = C₆².₁₅D₄	φ: C₈.C₂²/C₂² → D₄ ⊆ Aut C₃²	48	4-	C3^2:2(C8.C2^2)	288,887
C₃²⋊₃(C₈.C₂²) = C₂₄.₃D₆	φ: C₈.C₂²/C₈ → C₂² ⊆ Aut C₃²	96	4-	C3^2:3(C8.C2^2)	288,448
C₃²⋊₄(C₈.C₂²) = Dic₁₂⋊S₃	φ: C₈.C₂²/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:4(C8.C2^2)	288,449
C₃²⋊₅(C₈.C₂²) = D₁₂.₄D₆	φ: C₈.C₂²/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:5(C8.C2^2)	288,459
C₃²⋊₆(C₈.C₂²) = D₁₂.₃₂D₆	φ: C₈.C₂²/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:6(C8.C2^2)	288,475
C₃²⋊₇(C₈.C₂²) = D₁₂.₂₉D₆	φ: C₈.C₂²/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4-	C3^2:7(C8.C2^2)	288,479
C₃²⋊₈(C₈.C₂²) = Dic₆.₂₉D₆	φ: C₈.C₂²/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:8(C8.C2^2)	288,481
C₃²⋊₉(C₈.C₂²) = Dic₆.₁₉D₆	φ: C₈.C₂²/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:9(C8.C2^2)	288,577
C₃²⋊₁₀(C₈.C₂²) = Dic₆.D₆	φ: C₈.C₂²/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:10(C8.C2^2)	288,579
C₃²⋊₁₁(C₈.C₂²) = D₁₂.₁₁D₆	φ: C₈.C₂²/Q₈ → C₂² ⊆ Aut C₃²	96	8-	C3^2:11(C8.C2^2)	288,591
C₃²⋊₁₂(C₈.C₂²) = Dic₆.₁₀D₆	φ: C₈.C₂²/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:12(C8.C2^2)	288,593
C₃²⋊₁₃(C₈.C₂²) = D₁₂.₂₄D₆	φ: C₈.C₂²/Q₈ → C₂² ⊆ Aut C₃²	96	8-	C3^2:13(C8.C2^2)	288,594
C₃²⋊₁₄(C₈.C₂²) = Dic₆.₂₂D₆	φ: C₈.C₂²/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:14(C8.C2^2)	288,596
C₃²⋊₁₅(C₈.C₂²) = D₁₂.₁₅D₆	φ: C₈.C₂²/Q₈ → C₂² ⊆ Aut C₃²	48	8-	C3^2:15(C8.C2^2)	288,599
C₃²⋊₁₆(C₈.C₂²) = C₃×C₈.D₆	φ: C₈.C₂²/M₄(2) → C₂ ⊆ Aut C₃²	48	4	C3^2:16(C8.C2^2)	288,680
C₃²⋊₁₇(C₈.C₂²) = C₂₄.₅D₆	φ: C₈.C₂²/M₄(2) → C₂ ⊆ Aut C₃²	144		C3^2:17(C8.C2^2)	288,766
C₃²⋊₁₈(C₈.C₂²) = C₃×D₄.D₆	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₃²	48	4	C3^2:18(C8.C2^2)	288,686
C₃²⋊₁₉(C₈.C₂²) = C₂₄.₃₂D₆	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₃²	144		C3^2:19(C8.C2^2)	288,772
C₃²⋊₂₀(C₈.C₂²) = C₃×Q₁₆⋊S₃	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₃²	96	4	C3^2:20(C8.C2^2)	288,689
C₃²⋊₂₁(C₈.C₂²) = C₂₄.₃₅D₆	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₃²	144		C3^2:21(C8.C2^2)	288,775
C₃²⋊₂₂(C₈.C₂²) = C₃×Q₈.₁₁D₆	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₃²	48	4	C3^2:22(C8.C2^2)	288,713
C₃²⋊₂₃(C₈.C₂²) = C₆².₁₃₄D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₃²	144		C3^2:23(C8.C2^2)	288,799
C₃²⋊₂₄(C₈.C₂²) = C₃×Q₈.₁₄D₆	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₃²	48	4	C3^2:24(C8.C2^2)	288,722
C₃²⋊₂₅(C₈.C₂²) = C₆².₇₅D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₃²	144		C3^2:25(C8.C2^2)	288,808

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Extensions 1→N→G→Q→1 with N=C32 and Q=C8.C22

Extensions 1→N→G→Q→1 with N=C₃² and Q=C₈.C₂²