Extensions 1→N→G→Q→1 with N=C₂³.₁₆D₆ and Q=C₂

Direct product G=N×Q with N=C₂³.₁₆D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₁₆D₆		96		C2xC2^3.16D6	192,1039

Semidirect products G=N:Q with N=C₂³.₁₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₁₆D₆⋊₁C₂ = C₂⁴.₆₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:1C2	192,1145
C₂³.₁₆D₆⋊₂C₂ = C₂⁴.₄₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:2C2	192,1146
C₂³.₁₆D₆⋊₃C₂ = C₂⁴.₄₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:3C2	192,1151
C₂³.₁₆D₆⋊₄C₂ = C₄⋊C₄.₁₇₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:4C2	192,1159
C₂³.₁₆D₆⋊₅C₂ = C₆.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:5C2	192,1160
C₂³.₁₆D₆⋊₆C₂ = C₆.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:6C2	192,1174
C₂³.₁₆D₆⋊₇C₂ = C₆.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:7C2	192,1175
C₂³.₁₆D₆⋊₈C₂ = C₆.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:8C2	192,1196
C₂³.₁₆D₆⋊₉C₂ = C₆.₇₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:9C2	192,1201
C₂³.₁₆D₆⋊₁₀C₂ = C₆.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:10C2	192,1207
C₂³.₁₆D₆⋊₁₁C₂ = C₄⋊C₄.₁₉₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:11C2	192,1208
C₂³.₁₆D₆⋊₁₂C₂ = C₆.₈₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:12C2	192,1209
C₂³.₁₆D₆⋊₁₃C₂ = C₄⋊C₄⋊₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:13C2	192,1215
C₂³.₁₆D₆⋊₁₄C₂ = C₆.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:14C2	192,1220
C₂³.₁₆D₆⋊₁₅C₂ = C₆.₆₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:15C2	192,1221
C₂³.₁₆D₆⋊₁₆C₂ = C₄².₁₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:16C2	192,1228
C₂³.₁₆D₆⋊₁₇C₂ = C₄².₁₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:17C2	192,1229
C₂³.₁₆D₆⋊₁₈C₂ = C₄².₁₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:18C2	192,1230
C₂³.₁₆D₆⋊₁₉C₂ = C₄².₂₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:19C2	192,1239
C₂³.₁₆D₆⋊₂₀C₂ = C₄².₁₆₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:20C2	192,1261
C₂³.₁₆D₆⋊₂₁C₂ = C₄².₁₈₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:21C2	192,1265
C₂³.₁₆D₆⋊₂₂C₂ = C₄².₁₆₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:22C2	192,1267
C₂³.₁₆D₆⋊₂₃C₂ = C₂³⋊C₄⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48	8-	C2^3.16D6:23C2	192,299
C₂³.₁₆D₆⋊₂₄C₂ = C₂⁴.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:24C2	192,1045
C₂³.₁₆D₆⋊₂₅C₂ = C₂⁴.₄₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:25C2	192,1054
C₂³.₁₆D₆⋊₂₆C₂ = C₄².₉₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:26C2	192,1090
C₂³.₁₆D₆⋊₂₇C₂ = C₄².₁₀₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:27C2	192,1100
C₂³.₁₆D₆⋊₂₈C₂ = C₄².₁₀₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96		C2^3.16D6:28C2	192,1105
C₂³.₁₆D₆⋊₂₉C₂ = C₄²⋊₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	48		C2^3.16D6:29C2	192,1115
C₂³.₁₆D₆⋊₃₀C₂ = S₃×C₄²⋊C₂	φ: trivial image	48		C2^3.16D6:30C2	192,1079
C₂³.₁₆D₆⋊₃₁C₂ = C₄×D₄⋊₂S₃	φ: trivial image	96		C2^3.16D6:31C2	192,1095

Non-split extensions G=N.Q with N=C₂³.₁₆D₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.₁₆D₆.₁C₂ = (Q₈×Dic₃)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96	C2^3.16D6.1C2	192,1181
C₂³.₁₆D₆.₂C₂ = C₆.₇₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96	C2^3.16D6.2C2	192,1182
C₂³.₁₆D₆.₃C₂ = C₄².₁₅₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96	C2^3.16D6.3C2	192,1260
C₂³.₁₆D₆.₄C₂ = C₄².₈₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₆D₆	96	C2^3.16D6.4C2	192,1075

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Extensions 1→N→G→Q→1 with N=C23.16D6 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₁₆D₆ and Q=C₂