Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂xC₆

Direct product G=NxQ with N=C₂³ and Q=C₂xC₆

		d	ρ	Label	ID
C₂⁴xC₆		96		C2^4xC6	96,231

Semidirect products G=N:Q with N=C₂³ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:₁(C₂xC₆) = C₃xC₂²wrC₂	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂³	24		C2^3:1(C2xC6)	96,167
C₂³:₂(C₂xC₆) = C₃x2₊¹⁺⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂³	24	4	C2^3:2(C2xC6)	96,224
C₂³:₃(C₂xC₆) = C₂³xA₄	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₂³	24		C2^3:3(C2xC6)	96,228
C₂³:₄(C₂xC₆) = D₄xC₂xC₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3:4(C2xC6)	96,221

Non-split extensions G=N.Q with N=C₂³ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₂xC₆) = C₃xC₂³:C₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂³	24	4	C2^3.1(C2xC6)	96,49
C₂³.₂(C₂xC₆) = C₃xC₄.₄D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.2(C2xC6)	96,171
C₂³.₃(C₂xC₆) = C₃xC₄²:₂C₂	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.3(C2xC6)	96,173
C₂³.₄(C₂xC₆) = C₃xC₄:₁D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.4(C2xC6)	96,174
C₂³.₅(C₂xC₆) = C₂xC₄xA₄	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₂³	24		C2^3.5(C2xC6)	96,196
C₂³.₆(C₂xC₆) = D₄xA₄	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₂³	12	6+	C2^3.6(C2xC6)	96,197
C₂³.₇(C₂xC₆) = Q₈xA₄	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₂³	24	6-	C2^3.7(C2xC6)	96,199
C₂³.₈(C₂xC₆) = C₆xC₂²:C₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.8(C2xC6)	96,162
C₂³.₉(C₂xC₆) = C₃xC₄²:C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.9(C2xC6)	96,164
C₂³.₁₀(C₂xC₆) = D₄xC₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.10(C2xC6)	96,165
C₂³.₁₁(C₂xC₆) = C₃xC₄:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.11(C2xC6)	96,168
C₂³.₁₂(C₂xC₆) = C₃xC₂²:Q₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.12(C2xC6)	96,169
C₂³.₁₃(C₂xC₆) = C₃xC₂².D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.13(C2xC6)	96,170
C₂³.₁₄(C₂xC₆) = C₆xC₄oD₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.14(C2xC6)	96,223
C₂³.₁₅(C₂xC₆) = C₃xC₂.C₄²	central extension (φ=1)	96		C2^3.15(C2xC6)	96,45
C₂³.₁₆(C₂xC₆) = C₆xC₄:C₄	central extension (φ=1)	96		C2^3.16(C2xC6)	96,163
C₂³.₁₇(C₂xC₆) = Q₈xC₂xC₆	central extension (φ=1)	96		C2^3.17(C2xC6)	96,222

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