Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×Q₈

Direct product G=N×Q with N=D₆ and Q=C₂×Q₈

		d	ρ	Label	ID
C₂²×S₃×Q₈		96		C2^2xS3xQ8	192,1517

Semidirect products G=N:Q with N=D₆ and Q=C₂×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×Q₈) = C₂×D₆⋊Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6:1(C2xQ8)	192,1067
D₆⋊₂(C₂×Q₈) = C₂×C₄.D₁₂	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6:2(C2xQ8)	192,1068
D₆⋊₃(C₂×Q₈) = S₃×C₂²⋊Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	48		D6:3(C2xQ8)	192,1185
D₆⋊₄(C₂×Q₈) = C₂×D₆⋊₃Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6:4(C2xQ8)	192,1372
D₆⋊₅(C₂×Q₈) = Q₈×D₁₂	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6:5(C2xQ8)	192,1134
D₆⋊₆(C₂×Q₈) = Dic₆⋊₂₁D₄	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6:6(C2xQ8)	192,1191
D₆⋊₇(C₂×Q₈) = D₁₂⋊₈Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6:7(C2xQ8)	192,1286
D₆⋊₈(C₂×Q₈) = Q₈×C₃⋊D₄	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6:8(C2xQ8)	192,1374

Non-split extensions G=N.Q with N=D₆ and Q=C₂×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×Q₈) = C₄².₂₃₂D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.1(C2xQ8)	192,1137
D₆.₂(C₂×Q₈) = C₆.₅₁2₊¹⁺⁴	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	48		D6.2(C2xQ8)	192,1193
D₆.₃(C₂×Q₈) = C₄².₂₃₆D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.3(C2xQ8)	192,1247
D₆.₄(C₂×Q₈) = C₄².₁₄₈D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.4(C2xQ8)	192,1248
D₆.₅(C₂×Q₈) = C₄².₂₄₁D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.5(C2xQ8)	192,1287
D₆.₆(C₂×Q₈) = C₄².₁₇₄D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.6(C2xQ8)	192,1288
D₆.₇(C₂×Q₈) = C₆.₁₀2₊¹⁺⁴	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6.7(C2xQ8)	192,1070
D₆.₈(C₂×Q₈) = D₁₂⋊₁₀Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6.8(C2xQ8)	192,1138
D₆.₉(C₂×Q₈) = C₆.₁₁₈2₊¹⁺⁴	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6.9(C2xQ8)	192,1194
D₆.₁₀(C₂×Q₈) = C₆.₅₂2₊¹⁺⁴	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6.10(C2xQ8)	192,1195
D₆.₁₁(C₂×Q₈) = D₁₂⋊₇Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6.11(C2xQ8)	192,1249
D₆.₁₂(C₂×Q₈) = D₁₂⋊₉Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₆	96		D6.12(C2xQ8)	192,1289
D₆.₁₃(C₂×Q₈) = C₂×S₃×C₄⋊C₄	φ: trivial image	96		D6.13(C2xQ8)	192,1060
D₆.₁₄(C₂×Q₈) = C₄×S₃×Q₈	φ: trivial image	96		D6.14(C2xQ8)	192,1130
D₆.₁₅(C₂×Q₈) = S₃×C₄².C₂	φ: trivial image	96		D6.15(C2xQ8)	192,1246
D₆.₁₆(C₂×Q₈) = S₃×C₄⋊Q₈	φ: trivial image	96		D6.16(C2xQ8)	192,1282

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