Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂×Q₈

Direct product G=N×Q with N=Dic₃ and Q=C₂×Q₈

		d	ρ	Label	ID
C₂×Q₈×Dic₃		192		C2xQ8xDic3	192,1370

Semidirect products G=N:Q with N=Dic₃ and Q=C₂×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×Q₈) = C₂×C₁₂⋊Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	192		Dic3:1(C2xQ8)	192,1056
Dic₃⋊₂(C₂×Q₈) = S₃×C₄⋊Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3:2(C2xQ8)	192,1282
Dic₃⋊₃(C₂×Q₈) = C₂×Dic₃⋊Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	192		Dic3:3(C2xQ8)	192,1369
Dic₃⋊₄(C₂×Q₈) = Dic₆⋊₂₁D₄	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	96		Dic3:4(C2xQ8)	192,1191
Dic₃⋊₅(C₂×Q₈) = Q₈×C₃⋊D₄	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	96		Dic3:5(C2xQ8)	192,1374
Dic₃⋊₆(C₂×Q₈) = C₂×Dic₆⋊C₄	φ: trivial image	192		Dic3:6(C2xQ8)	192,1055
Dic₃⋊₇(C₂×Q₈) = C₄×S₃×Q₈	φ: trivial image	96		Dic3:7(C2xQ8)	192,1130

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×Q₈) = C₂×Dic₃.Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	192		Dic3.1(C2xQ8)	192,1057
Dic₃.₂(C₂×Q₈) = C₄².₂₃₂D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.2(C2xQ8)	192,1137
Dic₃.₃(C₂×Q₈) = (Q₈×Dic₃)⋊C₂	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.3(C2xQ8)	192,1181
Dic₃.₄(C₂×Q₈) = C₆.₇₅2_-¹⁺⁴	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.4(C2xQ8)	192,1182
Dic₃.₅(C₂×Q₈) = S₃×C₄².C₂	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.5(C2xQ8)	192,1246
Dic₃.₆(C₂×Q₈) = C₄².₁₄₈D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.6(C2xQ8)	192,1248
Dic₃.₇(C₂×Q₈) = C₄².₁₇₄D₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.7(C2xQ8)	192,1288
Dic₃.₈(C₂×Q₈) = C₆.₁₀2₊¹⁺⁴	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	96		Dic3.8(C2xQ8)	192,1070
Dic₃.₉(C₂×Q₈) = Q₈×Dic₆	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	192		Dic3.9(C2xQ8)	192,1125
Dic₃.₁₀(C₂×Q₈) = Dic₆⋊₁₀Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	192		Dic3.10(C2xQ8)	192,1126
Dic₃.₁₁(C₂×Q₈) = C₆.₁₁₈2₊¹⁺⁴	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	96		Dic3.11(C2xQ8)	192,1194
Dic₃.₁₂(C₂×Q₈) = C₆.₅₂2₊¹⁺⁴	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	96		Dic3.12(C2xQ8)	192,1195
Dic₃.₁₃(C₂×Q₈) = Dic₆⋊₇Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	192		Dic3.13(C2xQ8)	192,1244
Dic₃.₁₄(C₂×Q₈) = Dic₆⋊₈Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	192		Dic3.14(C2xQ8)	192,1280
Dic₃.₁₅(C₂×Q₈) = Dic₆⋊₉Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out Dic₃	192		Dic3.15(C2xQ8)	192,1281
Dic₃.₁₆(C₂×Q₈) = C₄².₂₃₆D₆	φ: trivial image	96		Dic3.16(C2xQ8)	192,1247
Dic₃.₁₇(C₂×Q₈) = C₄².₂₄₁D₆	φ: trivial image	96		Dic3.17(C2xQ8)	192,1287

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