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		72		C3^2xC8:C2^2	288,833

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⋊D₈⋊C₂	φ: C₈⋊C₂²/C₄ → D₄ ⊆ Aut C₃²	24	4	C3^2:1(C8:C2^2)	288,872
C₃²⋊₂(C₈⋊C₂²) = C₆².₁₂D₄	φ: C₈⋊C₂²/C₂² → D₄ ⊆ Aut C₃²	24	4	C3^2:2(C8:C2^2)	288,884
C₃²⋊₃(C₈⋊C₂²) = C₂₄⋊₁D₆	φ: C₈⋊C₂²/C₈ → C₂² ⊆ Aut C₃²	48	4+	C3^2:3(C8:C2^2)	288,442
C₃²⋊₄(C₈⋊C₂²) = D₂₄⋊S₃	φ: C₈⋊C₂²/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:4(C8:C2^2)	288,443
C₃²⋊₅(C₈⋊C₂²) = C₂₄⋊₆D₆	φ: C₈⋊C₂²/C₈ → C₂² ⊆ Aut C₃²	48	4	C3^2:5(C8:C2^2)	288,446
C₃²⋊₆(C₈⋊C₂²) = D₁₂⋊₂₀D₆	φ: C₈⋊C₂²/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:6(C8:C2^2)	288,471
C₃²⋊₇(C₈⋊C₂²) = D₁₂⋊₁₈D₆	φ: C₈⋊C₂²/C₂×C₄ → C₂² ⊆ Aut C₃²	24	4+	C3^2:7(C8:C2^2)	288,473
C₃²⋊₈(C₈⋊C₂²) = D₁₂.₂₈D₆	φ: C₈⋊C₂²/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:8(C8:C2^2)	288,478
C₃²⋊₉(C₈⋊C₂²) = Dic₆⋊₃D₆	φ: C₈⋊C₂²/D₄ → C₂² ⊆ Aut C₃²	48	8+	C3^2:9(C8:C2^2)	288,573
C₃²⋊₁₀(C₈⋊C₂²) = D₁₂.D₆	φ: C₈⋊C₂²/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:10(C8:C2^2)	288,575
C₃²⋊₁₁(C₈⋊C₂²) = D₁₂⋊₉D₆	φ: C₈⋊C₂²/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:11(C8:C2^2)	288,580
C₃²⋊₁₂(C₈⋊C₂²) = D₁₂.₇D₆	φ: C₈⋊C₂²/D₄ → C₂² ⊆ Aut C₃²	48	8+	C3^2:12(C8:C2^2)	288,582
C₃²⋊₁₃(C₈⋊C₂²) = D₁₂⋊₅D₆	φ: C₈⋊C₂²/D₄ → C₂² ⊆ Aut C₃²	24	8+	C3^2:13(C8:C2^2)	288,585
C₃²⋊₁₄(C₈⋊C₂²) = D₁₂⋊₆D₆	φ: C₈⋊C₂²/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:14(C8:C2^2)	288,587
C₃²⋊₁₅(C₈⋊C₂²) = D₁₂.₁₀D₆	φ: C₈⋊C₂²/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:15(C8:C2^2)	288,589
C₃²⋊₁₆(C₈⋊C₂²) = C₃×C₈⋊D₆	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₃²	48	4	C3^2:16(C8:C2^2)	288,679
C₃²⋊₁₇(C₈⋊C₂²) = C₂₄⋊₃D₆	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₃²	72		C3^2:17(C8:C2^2)	288,765
C₃²⋊₁₈(C₈⋊C₂²) = C₃×D₈⋊S₃	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₃²	48	4	C3^2:18(C8:C2^2)	288,682
C₃²⋊₁₉(C₈⋊C₂²) = C₂₄⋊₈D₆	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₃²	72		C3^2:19(C8:C2^2)	288,768
C₃²⋊₂₀(C₈⋊C₂²) = C₃×Q₈⋊₃D₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₃²	48	4	C3^2:20(C8:C2^2)	288,685
C₃²⋊₂₁(C₈⋊C₂²) = C₂₄⋊₇D₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₃²	72		C3^2:21(C8:C2^2)	288,771
C₃²⋊₂₂(C₈⋊C₂²) = C₃×D₁₂⋊₆C₂²	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₃²	24	4	C3^2:22(C8:C2^2)	288,703
C₃²⋊₂₃(C₈⋊C₂²) = C₆².₁₃₁D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₃²	72		C3^2:23(C8:C2^2)	288,789
C₃²⋊₂₄(C₈⋊C₂²) = C₃×D₄⋊D₆	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₃²	48	4	C3^2:24(C8:C2^2)	288,720
C₃²⋊₂₅(C₈⋊C₂²) = C₆².₇₃D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₃²	72		C3^2:25(C8:C2^2)	288,806

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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