Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂xDic₆

Direct product G=NxQ with N=C₃² and Q=C₂xDic₆

		d	ρ	Label	ID
C₃xC₆xDic₆		144		C3xC6xDic6	432,700

Semidirect products G=N:Q with N=C₃² and Q=C₂xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(C₂xDic₆) = C₃:S₃:Dic₆	φ: C₂xDic₆/C₄ → D₆ ⊆ Aut C₃²	72	12-	C3^2:1(C2xDic6)	432,294
C₃²:₂(C₂xDic₆) = C₂xHe₃:₂Q₈	φ: C₂xDic₆/C₂² → D₆ ⊆ Aut C₃²	144		C3^2:2(C2xDic6)	432,316
C₃²:₃(C₂xDic₆) = C₂xC₃³:Q₈	φ: C₂xDic₆/C₆ → Q₈ ⊆ Aut C₃²	48	8	C3^2:3(C2xDic6)	432,758
C₃²:₄(C₂xDic₆) = C₂xHe₃:₃Q₈	φ: C₂xDic₆/C₂xC₄ → S₃ ⊆ Aut C₃²	144		C3^2:4(C2xDic6)	432,348
C₃²:₅(C₂xDic₆) = C₂xHe₃:₄Q₈	φ: C₂xDic₆/C₂xC₄ → S₃ ⊆ Aut C₃²	144		C3^2:5(C2xDic6)	432,384
C₃²:₆(C₂xDic₆) = S₃xC₃²:₂Q₈	φ: C₂xDic₆/Dic₃ → C₂² ⊆ Aut C₃²	48	8-	C3^2:6(C2xDic6)	432,603
C₃²:₇(C₂xDic₆) = C₃³:₅(C₂xQ₈)	φ: C₂xDic₆/Dic₃ → C₂² ⊆ Aut C₃²	48	8-	C3^2:7(C2xDic6)	432,604
C₃²:₈(C₂xDic₆) = S₃xC₃²:₄Q₈	φ: C₂xDic₆/C₁₂ → C₂² ⊆ Aut C₃²	144		C3^2:8(C2xDic6)	432,660
C₃²:₉(C₂xDic₆) = C₃:S₃:₄Dic₆	φ: C₂xDic₆/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:9(C2xDic6)	432,687
C₃²:₁₀(C₂xDic₆) = C₂xC₃³:₄Q₈	φ: C₂xDic₆/C₂xC₆ → C₂² ⊆ Aut C₃²	144		C3^2:10(C2xDic6)	432,683
C₃²:₁₁(C₂xDic₆) = C₂xC₃³:₅Q₈	φ: C₂xDic₆/C₂xC₆ → C₂² ⊆ Aut C₃²	48		C3^2:11(C2xDic6)	432,695
C₃²:₁₂(C₂xDic₆) = C₃xS₃xDic₆	φ: C₂xDic₆/Dic₆ → C₂ ⊆ Aut C₃²	48	4	C3^2:12(C2xDic6)	432,642
C₃²:₁₃(C₂xDic₆) = C₃:S₃xDic₆	φ: C₂xDic₆/Dic₆ → C₂ ⊆ Aut C₃²	144		C3^2:13(C2xDic6)	432,663
C₃²:₁₄(C₂xDic₆) = C₆xC₃²:₂Q₈	φ: C₂xDic₆/C₂xDic₃ → C₂ ⊆ Aut C₃²	48		C3^2:14(C2xDic6)	432,657
C₃²:₁₅(C₂xDic₆) = C₆xC₃²:₄Q₈	φ: C₂xDic₆/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2:15(C2xDic6)	432,710
C₃²:₁₆(C₂xDic₆) = C₂xC₃³:₈Q₈	φ: C₂xDic₆/C₂xC₁₂ → C₂ ⊆ Aut C₃²	432		C3^2:16(C2xDic6)	432,720

Non-split extensions G=N.Q with N=C₃² and Q=C₂xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂xDic₆) = C₂xC₃₆.C₆	φ: C₂xDic₆/C₂xC₄ → S₃ ⊆ Aut C₃²	144		C3^2.(C2xDic6)	432,352
C₃².₂(C₂xDic₆) = S₃xDic₁₈	φ: C₂xDic₆/C₁₂ → C₂² ⊆ Aut C₃²	144	4-	C3^2.2(C2xDic6)	432,284
C₃².₃(C₂xDic₆) = C₂xC₉:Dic₆	φ: C₂xDic₆/C₂xC₆ → C₂² ⊆ Aut C₃²	144		C3^2.3(C2xDic6)	432,303
C₃².₄(C₂xDic₆) = C₆xDic₁₈	φ: C₂xDic₆/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2.4(C2xDic6)	432,340
C₃².₅(C₂xDic₆) = C₂xC₁₂.D₉	φ: C₂xDic₆/C₂xC₁₂ → C₂ ⊆ Aut C₃²	432		C3^2.5(C2xDic6)	432,380

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