Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=C₂³

Direct product G=N×Q with N=Dic₁₄ and Q=C₂³

		d	ρ	Label	ID
C₂³×Dic₁₄		448		C2^3xDic14	448,1365

Semidirect products G=N:Q with N=Dic₁₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄⋊₁C₂³ = C₂×D₈⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112		Dic14:1C2^3	448,1208
Dic₁₄⋊₂C₂³ = C₂×D₇×SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112		Dic14:2C2^3	448,1211
Dic₁₄⋊₃C₂³ = D₇×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	56	8+	Dic14:3C2^3	448,1225
Dic₁₄⋊₄C₂³ = C₂²×C₅₆⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14:4C2^3	448,1192
Dic₁₄⋊₅C₂³ = C₂×C₈⋊D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112		Dic14:5C2^3	448,1199
Dic₁₄⋊₆C₂³ = C₂×D₄.D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112		Dic14:6C2^3	448,1246
Dic₁₄⋊₇C₂³ = C₂²×D₄.D₇	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14:7C2^3	448,1247
Dic₁₄⋊₈C₂³ = C₂²×D₄⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14:8C2^3	448,1370
Dic₁₄⋊₉C₂³ = C₂×D₄⋊₆D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112		Dic14:9C2^3	448,1371
Dic₁₄⋊₁₀C₂³ = C₂²×Q₈×D₇	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14:10C2^3	448,1372
Dic₁₄⋊₁₁C₂³ = C₂×D₇×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112		Dic14:11C2^3	448,1375
Dic₁₄⋊₁₂C₂³ = D₇×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	56	8+	Dic14:12C2^3	448,1379
Dic₁₄⋊₁₃C₂³ = C₂²×C₄○D₂₈	φ: trivial image	224		Dic14:13C2^3	448,1368
Dic₁₄⋊₁₄C₂³ = C₂×D₄⋊₈D₁₄	φ: trivial image	112		Dic14:14C2^3	448,1376

Non-split extensions G=N.Q with N=Dic₁₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.₁C₂³ = C₂×D₈⋊₃D₇	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224		Dic14.1C2^3	448,1209
Dic₁₄.₂C₂³ = D₈⋊₁₃D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	4	Dic14.2C2^3	448,1210
Dic₁₄.₃C₂³ = C₂×SD₁₆⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224		Dic14.3C2^3	448,1213
Dic₁₄.₄C₂³ = C₂×SD₁₆⋊₃D₇	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224		Dic14.4C2^3	448,1214
Dic₁₄.₅C₂³ = D₂₈.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	4	Dic14.5C2^3	448,1215
Dic₁₄.₆C₂³ = C₂×D₇×Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224		Dic14.6C2^3	448,1216
Dic₁₄.₇C₂³ = C₂×Q₁₆⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224		Dic14.7C2^3	448,1217
Dic₁₄.₈C₂³ = D₂₈.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224	4	Dic14.8C2^3	448,1219
Dic₁₄.₉C₂³ = D₇×C₄○D₈	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	4	Dic14.9C2^3	448,1220
Dic₁₄.₁₀C₂³ = D₈⋊₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	4	Dic14.10C2^3	448,1221
Dic₁₄.₁₁C₂³ = D₈⋊₁₁D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	4	Dic14.11C2^3	448,1223
Dic₁₄.₁₂C₂³ = D₈.₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224	4-	Dic14.12C2^3	448,1224
Dic₁₄.₁₃C₂³ = SD₁₆⋊D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	8-	Dic14.13C2^3	448,1226
Dic₁₄.₁₄C₂³ = D₈⋊₅D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	8+	Dic14.14C2^3	448,1227
Dic₁₄.₁₅C₂³ = D₈⋊₆D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	8-	Dic14.15C2^3	448,1228
Dic₁₄.₁₆C₂³ = D₇×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	8-	Dic14.16C2^3	448,1229
Dic₁₄.₁₇C₂³ = D₅₆⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	8+	Dic14.17C2^3	448,1230
Dic₁₄.₁₈C₂³ = C₅₆.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	112	8+	Dic14.18C2^3	448,1231
Dic₁₄.₁₉C₂³ = D₂₈.₄₄D₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₁₄	224	8-	Dic14.19C2^3	448,1232
Dic₁₄.₂₀C₂³ = C₂×D₅₆⋊₇C₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14.20C2^3	448,1194
Dic₁₄.₂₁C₂³ = C₂²×Dic₂₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	448		Dic14.21C2^3	448,1195
Dic₁₄.₂₂C₂³ = C₂×C₈.D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14.22C2^3	448,1200
Dic₁₄.₂₃C₂³ = C₅₆.₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	4	Dic14.23C2^3	448,1201
Dic₁₄.₂₄C₂³ = D₄.₁₁D₂₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	4	Dic14.24C2^3	448,1204
Dic₁₄.₂₅C₂³ = D₄.₁₂D₂₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	4+	Dic14.25C2^3	448,1205
Dic₁₄.₂₆C₂³ = D₄.₁₃D₂₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224	4-	Dic14.26C2^3	448,1206
Dic₁₄.₂₇C₂³ = C₂×C₂₈.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14.27C2^3	448,1261
Dic₁₄.₂₈C₂³ = C₂²×C₇⋊Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	448		Dic14.28C2^3	448,1262
Dic₁₄.₂₉C₂³ = C₂×D₄.₈D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14.29C2^3	448,1274
Dic₁₄.₃₀C₂³ = C₂₈.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	4	Dic14.30C2^3	448,1275
Dic₁₄.₃₁C₂³ = C₂×D₄.₉D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14.31C2^3	448,1276
Dic₁₄.₃₂C₂³ = D₂₈.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	8+	Dic14.32C2^3	448,1288
Dic₁₄.₃₃C₂³ = D₂₈.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	8-	Dic14.33C2^3	448,1289
Dic₁₄.₃₄C₂³ = D₂₈.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	8+	Dic14.34C2^3	448,1290
Dic₁₄.₃₅C₂³ = D₂₈.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224	8-	Dic14.35C2^3	448,1291
Dic₁₄.₃₆C₂³ = C₂×Q₈.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14.36C2^3	448,1374
Dic₁₄.₃₇C₂³ = C₂×D₄.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	224		Dic14.37C2^3	448,1377
Dic₁₄.₃₈C₂³ = D₁₄.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	8-	Dic14.38C2^3	448,1380
Dic₁₄.₃₉C₂³ = D₇×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	8-	Dic14.39C2^3	448,1381
Dic₁₄.₄₀C₂³ = D₂₈.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₁₄	112	8+	Dic14.40C2^3	448,1382
Dic₁₄.₄₁C₂³ = C₁₄.C₂⁵	φ: trivial image	112	4	Dic14.41C2^3	448,1378

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Extensions 1→N→G→Q→1 with N=Dic14 and Q=C23

Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=C₂³