Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂².₃₆C₂⁴

Direct product G=N×Q with N=C₃ and Q=C₂².₃₆C₂⁴

		d	ρ	Label	ID
C₃×C₂².₃₆C₂⁴		96		C3xC2^2.36C2^4	192,1431

Semidirect products G=N:Q with N=C₃ and Q=C₂².₃₆C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂².₃₆C₂⁴) = C₄².₉₉D₆	φ: C₂².₃₆C₂⁴/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:1(C2^2.36C2^4)	192,1093
C₃⋊₂(C₂².₃₆C₂⁴) = C₄².₁₁₅D₆	φ: C₂².₃₆C₂⁴/C₄×D₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^2.36C2^4)	192,1120
C₃⋊₃(C₂².₃₆C₂⁴) = C₄².₁₃₃D₆	φ: C₂².₃₆C₂⁴/C₄×Q₈ → C₂ ⊆ Aut C₃	96		C3:3(C2^2.36C2^4)	192,1141
C₃⋊₄(C₂².₃₆C₂⁴) = C₆.₇₁2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₄⋊D₄ → C₂ ⊆ Aut C₃	96		C3:4(C2^2.36C2^4)	192,1162
C₃⋊₅(C₂².₃₆C₂⁴) = C₆.₂₂2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂²⋊Q₈ → C₂ ⊆ Aut C₃	96		C3:5(C2^2.36C2^4)	192,1199
C₃⋊₆(C₂².₃₆C₂⁴) = C₆.₂₄2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂²⋊Q₈ → C₂ ⊆ Aut C₃	96		C3:6(C2^2.36C2^4)	192,1202
C₃⋊₇(C₂².₃₆C₂⁴) = C₆.₆₅2₊¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂².D₄ → C₂ ⊆ Aut C₃	96		C3:7(C2^2.36C2^4)	192,1221
C₃⋊₈(C₂².₃₆C₂⁴) = C₄².₁₃₇D₆	φ: C₂².₃₆C₂⁴/C₄.₄D₄ → C₂ ⊆ Aut C₃	96		C3:8(C2^2.36C2^4)	192,1228
C₃⋊₉(C₂².₃₆C₂⁴) = C₄².₁₄₄D₆	φ: C₂².₃₆C₂⁴/C₄.₄D₄ → C₂ ⊆ Aut C₃	96		C3:9(C2^2.36C2^4)	192,1241
C₃⋊₁₀(C₂².₃₆C₂⁴) = C₄².₁₆₄D₆	φ: C₂².₃₆C₂⁴/C₄²⋊₂C₂ → C₂ ⊆ Aut C₃	96		C3:10(C2^2.36C2^4)	192,1269
C₃⋊₁₁(C₂².₃₆C₂⁴) = C₄².₁₇₈D₆	φ: C₂².₃₆C₂⁴/C₄⋊Q₈ → C₂ ⊆ Aut C₃	96		C3:11(C2^2.36C2^4)	192,1292

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁