Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xD₄

Direct product G=NxQ with N=D₆ and Q=C₂xD₄

		d	ρ	Label	ID
C₂²xS₃xD₄		48		C2^2xS3xD4	192,1514

Semidirect products G=N:Q with N=D₆ and Q=C₂xD₄

extension	φ:Q→Out N	d	Label	ID
D₆:₁(C₂xD₄) = C₂xDic₃:D₄	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6:1(C2xD4)	192,1048
D₆:₂(C₂xD₄) = C₂xC₁₂:D₄	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6:2(C2xD4)	192,1065
D₆:₃(C₂xD₄) = S₃xC₄:D₄	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6:3(C2xD4)	192,1163
D₆:₄(C₂xD₄) = C₂xD₆:₃D₄	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6:4(C2xD4)	192,1359
D₆:₅(C₂xD₄) = D₄xD₁₂	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	D6:5(C2xD4)	192,1108
D₆:₆(C₂xD₄) = C₂⁴:₈D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	D6:6(C2xD4)	192,1149
D₆:₇(C₂xD₄) = D₁₂:₁₉D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	D6:7(C2xD4)	192,1168
D₆:₈(C₂xD₄) = D₁₂:₁₁D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	D6:8(C2xD4)	192,1276
D₆:₉(C₂xD₄) = D₄xC₃:D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	D6:9(C2xD4)	192,1360
D₆:₁₀(C₂xD₄) = C₂xD₆:D₄	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48	D6:10(C2xD4)	192,1046
D₆:₁₁(C₂xD₄) = S₃xC₂²wrC₂	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	24	D6:11(C2xD4)	192,1147
D₆:₁₂(C₂xD₄) = C₂xC₂³:₂D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48	D6:12(C2xD4)	192,1358

Non-split extensions G=N.Q with N=D₆ and Q=C₂xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂xD₄) = C₄².₂₂₈D₆	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.1(C2xD4)	192,1107
D₆.₂(C₂xD₄) = C₂⁴:₇D₆	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	48		D6.2(C2xD4)	192,1148
D₆.₃(C₂xD₄) = C₆.₇₂2_-¹⁺⁴	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.3(C2xD4)	192,1167
D₆.₄(C₂xD₄) = C₆.₁₇2_-¹⁺⁴	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.4(C2xD4)	192,1188
D₆.₅(C₂xD₄) = C₆.₁₂₀2₊¹⁺⁴	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	48		D6.5(C2xD4)	192,1212
D₆.₆(C₂xD₄) = C₄².₂₃₃D₆	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.6(C2xD4)	192,1227
D₆.₇(C₂xD₄) = C₄².₂₃₈D₆	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.7(C2xD4)	192,1275
D₆.₈(C₂xD₄) = C₄².₂₄₀D₆	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.8(C2xD4)	192,1284
D₆.₉(C₂xD₄) = C₂xD₈:₃S₃	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.9(C2xD4)	192,1315
D₆.₁₀(C₂xD₄) = C₂xQ₈.₇D₆	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.10(C2xD4)	192,1320
D₆.₁₁(C₂xD₄) = C₂xD₂₄:C₂	φ: C₂xD₄/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.11(C2xD4)	192,1324
D₆.₁₂(C₂xD₄) = C₂⁴.₃₈D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.12(C2xD4)	192,1049
D₆.₁₃(C₂xD₄) = C₆.2_-¹⁺⁴	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96		D6.13(C2xD4)	192,1066
D₆.₁₄(C₂xD₄) = D₁₂:₂₃D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.14(C2xD4)	192,1109
D₆.₁₅(C₂xD₄) = D₁₂:₂₄D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96		D6.15(C2xD4)	192,1110
D₆.₁₆(C₂xD₄) = C₂⁴.₄₄D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.16(C2xD4)	192,1150
D₆.₁₇(C₂xD₄) = C₆.₄₀2₊¹⁺⁴	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.17(C2xD4)	192,1169
D₆.₁₈(C₂xD₄) = C₆.₇₃2_-¹⁺⁴	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96		D6.18(C2xD4)	192,1170
D₆.₁₉(C₂xD₄) = D₁₂:₂₀D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.19(C2xD4)	192,1171
D₆.₂₀(C₂xD₄) = D₁₂:₂₁D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.20(C2xD4)	192,1189
D₆.₂₁(C₂xD₄) = D₁₂:₂₂D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96		D6.21(C2xD4)	192,1190
D₆.₂₂(C₂xD₄) = C₆.₁₂₁2₊¹⁺⁴	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.22(C2xD4)	192,1213
D₆.₂₃(C₂xD₄) = C₆.₈₂2_-¹⁺⁴	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96		D6.23(C2xD4)	192,1214
D₆.₂₄(C₂xD₄) = D₁₂:₁₀D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48		D6.24(C2xD4)	192,1235
D₆.₂₅(C₂xD₄) = D₁₂:₁₂D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96		D6.25(C2xD4)	192,1285
D₆.₂₆(C₂xD₄) = D₈:₁₃D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	4	D6.26(C2xD4)	192,1316
D₆.₂₇(C₂xD₄) = SD₁₆:₁₃D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	4	D6.27(C2xD4)	192,1321
D₆.₂₈(C₂xD₄) = D₁₂.₃₀D₄	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96	4	D6.28(C2xD4)	192,1325
D₆.₂₉(C₂xD₄) = D₈:₁₅D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	4+	D6.29(C2xD4)	192,1328
D₆.₃₀(C₂xD₄) = D₈:₁₁D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	4	D6.30(C2xD4)	192,1329
D₆.₃₁(C₂xD₄) = D₈.₁₀D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96	4-	D6.31(C2xD4)	192,1330
D₆.₃₂(C₂xD₄) = D₈:₅D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	8+	D6.32(C2xD4)	192,1333
D₆.₃₃(C₂xD₄) = D₈:₆D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	8-	D6.33(C2xD4)	192,1334
D₆.₃₄(C₂xD₄) = C₂₄.C₂³	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	48	8+	D6.34(C2xD4)	192,1337
D₆.₃₅(C₂xD₄) = SD₁₆.D₆	φ: C₂xD₄/D₄ → C₂ ⊆ Out D₆	96	8-	D6.35(C2xD4)	192,1338
D₆.₃₆(C₂xD₄) = C₂xC₂³.₉D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	96		D6.36(C2xD4)	192,1047
D₆.₃₇(C₂xD₄) = C₂xD₆.D₄	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	96		D6.37(C2xD4)	192,1064
D₆.₃₈(C₂xD₄) = C₄²:₁₄D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.38(C2xD4)	192,1106
D₆.₃₉(C₂xD₄) = C₆.₃₇2₊¹⁺⁴	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.39(C2xD4)	192,1164
D₆.₄₀(C₂xD₄) = C₄:C₄:₂₁D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.40(C2xD4)	192,1165
D₆.₄₁(C₂xD₄) = C₆.₃₈2₊¹⁺⁴	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.41(C2xD4)	192,1166
D₆.₄₂(C₂xD₄) = C₄:C₄:₂₆D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.42(C2xD4)	192,1186
D₆.₄₃(C₂xD₄) = C₆.₁₆2_-¹⁺⁴	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	96		D6.43(C2xD4)	192,1187
D₆.₄₄(C₂xD₄) = S₃xC₂².D₄	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.44(C2xD4)	192,1211
D₆.₄₅(C₂xD₄) = C₄²:₂₀D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.45(C2xD4)	192,1233
D₆.₄₆(C₂xD₄) = C₄².₁₄₁D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	96		D6.46(C2xD4)	192,1234
D₆.₄₇(C₂xD₄) = C₄²:₂₈D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.47(C2xD4)	192,1274
D₆.₄₈(C₂xD₄) = C₄².₁₇₁D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	96		D6.48(C2xD4)	192,1283
D₆.₄₉(C₂xD₄) = C₂xD₈:S₃	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.49(C2xD4)	192,1314
D₆.₅₀(C₂xD₄) = C₂xQ₈:₃D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48		D6.50(C2xD4)	192,1318
D₆.₅₁(C₂xD₄) = C₂xD₄.D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	96		D6.51(C2xD4)	192,1319
D₆.₅₂(C₂xD₄) = C₂xQ₁₆:S₃	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	96		D6.52(C2xD4)	192,1323
D₆.₅₃(C₂xD₄) = SD₁₆:D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48	4	D6.53(C2xD4)	192,1327
D₆.₅₄(C₂xD₄) = D₈:₄D₆	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48	8-	D6.54(C2xD4)	192,1332
D₆.₅₅(C₂xD₄) = D₂₄:C₂²	φ: C₂xD₄/C₂³ → C₂ ⊆ Out D₆	48	8+	D6.55(C2xD4)	192,1336
D₆.₅₆(C₂xD₄) = C₂xS₃xC₂²:C₄	φ: trivial image	48		D6.56(C2xD4)	192,1043
D₆.₅₇(C₂xD₄) = C₂xS₃xC₄:C₄	φ: trivial image	96		D6.57(C2xD4)	192,1060
D₆.₅₈(C₂xD₄) = C₄xS₃xD₄	φ: trivial image	48		D6.58(C2xD4)	192,1103
D₆.₅₉(C₂xD₄) = S₃xC₂²:Q₈	φ: trivial image	48		D6.59(C2xD4)	192,1185
D₆.₆₀(C₂xD₄) = S₃xC₄.₄D₄	φ: trivial image	48		D6.60(C2xD4)	192,1232
D₆.₆₁(C₂xD₄) = S₃xC₄:₁D₄	φ: trivial image	48		D6.61(C2xD4)	192,1273
D₆.₆₂(C₂xD₄) = S₃xC₄:Q₈	φ: trivial image	96		D6.62(C2xD4)	192,1282
D₆.₆₃(C₂xD₄) = C₂xS₃xD₈	φ: trivial image	48		D6.63(C2xD4)	192,1313
D₆.₆₄(C₂xD₄) = C₂xS₃xSD₁₆	φ: trivial image	48		D6.64(C2xD4)	192,1317
D₆.₆₅(C₂xD₄) = C₂xS₃xQ₁₆	φ: trivial image	96		D6.65(C2xD4)	192,1322
D₆.₆₆(C₂xD₄) = S₃xC₄oD₈	φ: trivial image	48	4	D6.66(C2xD4)	192,1326
D₆.₆₇(C₂xD₄) = S₃xC₈:C₂²	φ: trivial image	24	8+	D6.67(C2xD4)	192,1331
D₆.₆₈(C₂xD₄) = S₃xC₈.C₂²	φ: trivial image	48	8-	D6.68(C2xD4)	192,1335

Extensions 1→N→G→Q→1 with N=D6 and Q=C2xD4

Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xD₄