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Extensions 1→N→G→Q→1 with N=C2 and Q=Q8⋊3Q8

Direct product G=N×Q with N=C2 and Q=Q8⋊3Q8
dρLabelID
C2×Q8⋊3Q8128C2xQ8:3Q8128,2208


Non-split extensions G=N.Q with N=C2 and Q=Q8⋊3Q8
extensionφ:Q→Aut NdρLabelID
C2.1(Q8⋊3Q8) = Q8×C4⋊C4central extension (φ=1)128C2.1(Q8:3Q8)128,1082
C2.2(Q8⋊3Q8) = C23.233C24central extension (φ=1)128C2.2(Q8:3Q8)128,1083
C2.3(Q8⋊3Q8) = C23.237C24central extension (φ=1)128C2.3(Q8:3Q8)128,1087
C2.4(Q8⋊3Q8) = C23.247C24central extension (φ=1)128C2.4(Q8:3Q8)128,1097
C2.5(Q8⋊3Q8) = C23.252C24central extension (φ=1)128C2.5(Q8:3Q8)128,1102
C2.6(Q8⋊3Q8) = C23.346C24central stem extension (φ=1)128C2.6(Q8:3Q8)128,1178
C2.7(Q8⋊3Q8) = C23.351C24central stem extension (φ=1)128C2.7(Q8:3Q8)128,1183
C2.8(Q8⋊3Q8) = C23.353C24central stem extension (φ=1)128C2.8(Q8:3Q8)128,1185
C2.9(Q8⋊3Q8) = C23.362C24central stem extension (φ=1)128C2.9(Q8:3Q8)128,1194
C2.10(Q8⋊3Q8) = C23.406C24central stem extension (φ=1)128C2.10(Q8:3Q8)128,1238
C2.11(Q8⋊3Q8) = C23.408C24central stem extension (φ=1)128C2.11(Q8:3Q8)128,1240
C2.12(Q8⋊3Q8) = C23.409C24central stem extension (φ=1)128C2.12(Q8:3Q8)128,1241
C2.13(Q8⋊3Q8) = C23.411C24central stem extension (φ=1)128C2.13(Q8:3Q8)128,1243
C2.14(Q8⋊3Q8) = C23.420C24central stem extension (φ=1)128C2.14(Q8:3Q8)128,1252
C2.15(Q8⋊3Q8) = C42.169D4central stem extension (φ=1)128C2.15(Q8:3Q8)128,1278
C2.16(Q8⋊3Q8) = C42⋊6Q8central stem extension (φ=1)128C2.16(Q8:3Q8)128,1282
C2.17(Q8⋊3Q8) = C42.35Q8central stem extension (φ=1)128C2.17(Q8:3Q8)128,1284
C2.18(Q8⋊3Q8) = C42.174D4central stem extension (φ=1)128C2.18(Q8:3Q8)128,1297
C2.19(Q8⋊3Q8) = C42.177D4central stem extension (φ=1)128C2.19(Q8:3Q8)128,1300
C2.20(Q8⋊3Q8) = C42.179D4central stem extension (φ=1)128C2.20(Q8:3Q8)128,1313
C2.21(Q8⋊3Q8) = C42.180D4central stem extension (φ=1)128C2.21(Q8:3Q8)128,1314
C2.22(Q8⋊3Q8) = C42.181D4central stem extension (φ=1)128C2.22(Q8:3Q8)128,1316
C2.23(Q8⋊3Q8) = C23.485C24central stem extension (φ=1)128C2.23(Q8:3Q8)128,1317
C2.24(Q8⋊3Q8) = C23.488C24central stem extension (φ=1)128C2.24(Q8:3Q8)128,1320
C2.25(Q8⋊3Q8) = C23.490C24central stem extension (φ=1)128C2.25(Q8:3Q8)128,1322
C2.26(Q8⋊3Q8) = C23.613C24central stem extension (φ=1)128C2.26(Q8:3Q8)128,1445
C2.27(Q8⋊3Q8) = C23.626C24central stem extension (φ=1)128C2.27(Q8:3Q8)128,1458
C2.28(Q8⋊3Q8) = C23.655C24central stem extension (φ=1)128C2.28(Q8:3Q8)128,1487
C2.29(Q8⋊3Q8) = C23.674C24central stem extension (φ=1)128C2.29(Q8:3Q8)128,1506
C2.30(Q8⋊3Q8) = C23.691C24central stem extension (φ=1)128C2.30(Q8:3Q8)128,1523
C2.31(Q8⋊3Q8) = C23.699C24central stem extension (φ=1)128C2.31(Q8:3Q8)128,1531
C2.32(Q8⋊3Q8) = C23.702C24central stem extension (φ=1)128C2.32(Q8:3Q8)128,1534
C2.33(Q8⋊3Q8) = C23.705C24central stem extension (φ=1)128C2.33(Q8:3Q8)128,1537
C2.34(Q8⋊3Q8) = C23.706C24central stem extension (φ=1)128C2.34(Q8:3Q8)128,1538
C2.35(Q8⋊3Q8) = C23.709C24central stem extension (φ=1)128C2.35(Q8:3Q8)128,1541

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