Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂³xC₆

Direct product G=NxQ with N=C₄ and Q=C₂³xC₆

		d	ρ	Label	ID
C₂⁴xC₁₂		192		C2^4xC12	192,1530

Semidirect products G=N:Q with N=C₄ and Q=C₂³xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂³xC₆) = D₄xC₂²xC₆	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96		C4:(C2^3xC6)	192,1531

Non-split extensions G=N.Q with N=C₄ and Q=C₂³xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂³xC₆) = C₂xC₆xD₈	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96		C4.1(C2^3xC6)	192,1458
C₄.₂(C₂³xC₆) = C₂xC₆xSD₁₆	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96		C4.2(C2^3xC6)	192,1459
C₄.₃(C₂³xC₆) = C₂xC₆xQ₁₆	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	192		C4.3(C2^3xC6)	192,1460
C₄.₄(C₂³xC₆) = C₆xC₄oD₈	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96		C4.4(C2^3xC6)	192,1461
C₄.₅(C₂³xC₆) = C₆xC₈:C₂²	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	48		C4.5(C2^3xC6)	192,1462
C₄.₆(C₂³xC₆) = C₆xC₈.C₂²	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96		C4.6(C2^3xC6)	192,1463
C₄.₇(C₂³xC₆) = C₃xD₈:C₂²	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	48	4	C4.7(C2^3xC6)	192,1464
C₄.₈(C₂³xC₆) = C₃xD₄oD₈	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	48	4	C4.8(C2^3xC6)	192,1465
C₄.₉(C₂³xC₆) = C₃xD₄oSD₁₆	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	48	4	C4.9(C2^3xC6)	192,1466
C₄.₁₀(C₂³xC₆) = C₃xQ₈oD₈	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96	4	C4.10(C2^3xC6)	192,1467
C₄.₁₁(C₂³xC₆) = Q₈xC₂²xC₆	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	192		C4.11(C2^3xC6)	192,1532
C₄.₁₂(C₂³xC₆) = C₂xC₆xC₄oD₄	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96		C4.12(C2^3xC6)	192,1533
C₄.₁₃(C₂³xC₆) = C₆x2₊¹⁺⁴	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	48		C4.13(C2^3xC6)	192,1534
C₄.₁₄(C₂³xC₆) = C₆x2_-¹⁺⁴	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	96		C4.14(C2^3xC6)	192,1535
C₄.₁₅(C₂³xC₆) = C₃xC₂.C₂⁵	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₄	48	4	C4.15(C2^3xC6)	192,1536
C₄.₁₆(C₂³xC₆) = C₂xC₆xM₄(2)	central extension (φ=1)	96		C4.16(C2^3xC6)	192,1455
C₄.₁₇(C₂³xC₆) = C₆xC₈oD₄	central extension (φ=1)	96		C4.17(C2^3xC6)	192,1456
C₄.₁₈(C₂³xC₆) = C₃xQ₈oM₄(2)	central extension (φ=1)	48	4	C4.18(C2^3xC6)	192,1457

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