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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C22≀C2

Direct product G=N×Q with N=C2 and Q=C2×C22≀C2
dρLabelID
C22×C22≀C232C2^2xC2^2wrC2128,2163


Non-split extensions G=N.Q with N=C2 and Q=C2×C22≀C2
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C22≀C2) = C2×C24⋊3C4central extension (φ=1)32C2.1(C2xC2^2wrC2)128,1009
C2.2(C2×C22≀C2) = C2×C23.8Q8central extension (φ=1)64C2.2(C2xC2^2wrC2)128,1018
C2.3(C2×C22≀C2) = C2×C23.23D4central extension (φ=1)64C2.3(C2xC2^2wrC2)128,1019
C2.4(C2×C22≀C2) = C4×C22≀C2central extension (φ=1)32C2.4(C2xC2^2wrC2)128,1031
C2.5(C2×C22≀C2) = C2×C23⋊2D4central stem extension (φ=1)64C2.5(C2xC2^2wrC2)128,1116
C2.6(C2×C22≀C2) = C2×C23⋊Q8central stem extension (φ=1)64C2.6(C2xC2^2wrC2)128,1117
C2.7(C2×C22≀C2) = C2×C23.10D4central stem extension (φ=1)64C2.7(C2xC2^2wrC2)128,1118
C2.8(C2×C22≀C2) = C2×C23.78C23central stem extension (φ=1)128C2.8(C2xC2^2wrC2)128,1119
C2.9(C2×C22≀C2) = C23.288C24central stem extension (φ=1)64C2.9(C2xC2^2wrC2)128,1120
C2.10(C2×C22≀C2) = C24⋊7D4central stem extension (φ=1)32C2.10(C2xC2^2wrC2)128,1135
C2.11(C2×C22≀C2) = C23.304C24central stem extension (φ=1)32C2.11(C2xC2^2wrC2)128,1136
C2.12(C2×C22≀C2) = C24.94D4central stem extension (φ=1)32C2.12(C2xC2^2wrC2)128,1137
C2.13(C2×C22≀C2) = C24.243C23central stem extension (φ=1)64C2.13(C2xC2^2wrC2)128,1138
C2.14(C2×C22≀C2) = C24.244C23central stem extension (φ=1)64C2.14(C2xC2^2wrC2)128,1139
C2.15(C2×C22≀C2) = C23.308C24central stem extension (φ=1)32C2.15(C2xC2^2wrC2)128,1140
C2.16(C2×C22≀C2) = C23.309C24central stem extension (φ=1)64C2.16(C2xC2^2wrC2)128,1141
C2.17(C2×C22≀C2) = C24⋊8D4central stem extension (φ=1)32C2.17(C2xC2^2wrC2)128,1142
C2.18(C2×C22≀C2) = C24.262C23central stem extension (φ=1)64C2.18(C2xC2^2wrC2)128,1162
C2.19(C2×C22≀C2) = C24.263C23central stem extension (φ=1)64C2.19(C2xC2^2wrC2)128,1163
C2.20(C2×C22≀C2) = C24.264C23central stem extension (φ=1)64C2.20(C2xC2^2wrC2)128,1164
C2.21(C2×C22≀C2) = C23.333C24central stem extension (φ=1)32C2.21(C2xC2^2wrC2)128,1165
C2.22(C2×C22≀C2) = C23.334C24central stem extension (φ=1)64C2.22(C2xC2^2wrC2)128,1166
C2.23(C2×C22≀C2) = C23.335C24central stem extension (φ=1)32C2.23(C2xC2^2wrC2)128,1167
C2.24(C2×C22≀C2) = C24.565C23central stem extension (φ=1)64C2.24(C2xC2^2wrC2)128,1168
C2.25(C2×C22≀C2) = C24⋊9D4central stem extension (φ=1)32C2.25(C2xC2^2wrC2)128,1345
C2.26(C2×C22≀C2) = C23.514C24central stem extension (φ=1)64C2.26(C2xC2^2wrC2)128,1346
C2.27(C2×C22≀C2) = C24.360C23central stem extension (φ=1)64C2.27(C2xC2^2wrC2)128,1347
C2.28(C2×C22≀C2) = C24.361C23central stem extension (φ=1)64C2.28(C2xC2^2wrC2)128,1348
C2.29(C2×C22≀C2) = C23≀C2central stem extension (φ=1)16C2.29(C2xC2^2wrC2)128,1578
C2.30(C2×C22≀C2) = C24⋊13D4central stem extension (φ=1)32C2.30(C2xC2^2wrC2)128,1579
C2.31(C2×C22≀C2) = C24⋊8Q8central stem extension (φ=1)32C2.31(C2xC2^2wrC2)128,1580
C2.32(C2×C22≀C2) = C24.166D4central stem extension (φ=1)32C2.32(C2xC2^2wrC2)128,1581
C2.33(C2×C22≀C2) = C2×C22⋊D8central stem extension (φ=1)32C2.33(C2xC2^2wrC2)128,1728
C2.34(C2×C22≀C2) = C2×C22⋊SD16central stem extension (φ=1)32C2.34(C2xC2^2wrC2)128,1729
C2.35(C2×C22≀C2) = C2×Q8⋊D4central stem extension (φ=1)64C2.35(C2xC2^2wrC2)128,1730
C2.36(C2×C22≀C2) = C2×C22⋊Q16central stem extension (φ=1)64C2.36(C2xC2^2wrC2)128,1731
C2.37(C2×C22≀C2) = C2×D4⋊D4central stem extension (φ=1)64C2.37(C2xC2^2wrC2)128,1732
C2.38(C2×C22≀C2) = C2×D4.7D4central stem extension (φ=1)64C2.38(C2xC2^2wrC2)128,1733
C2.39(C2×C22≀C2) = C24.103D4central stem extension (φ=1)32C2.39(C2xC2^2wrC2)128,1734
C2.40(C2×C22≀C2) = C24.177D4central stem extension (φ=1)16C2.40(C2xC2^2wrC2)128,1735
C2.41(C2×C22≀C2) = C24.178D4central stem extension (φ=1)32C2.41(C2xC2^2wrC2)128,1736
C2.42(C2×C22≀C2) = C24.104D4central stem extension (φ=1)32C2.42(C2xC2^2wrC2)128,1737
C2.43(C2×C22≀C2) = C24.105D4central stem extension (φ=1)32C2.43(C2xC2^2wrC2)128,1738
C2.44(C2×C22≀C2) = C24.106D4central stem extension (φ=1)32C2.44(C2xC2^2wrC2)128,1739
C2.45(C2×C22≀C2) = C4○D4⋊D4central stem extension (φ=1)32C2.45(C2xC2^2wrC2)128,1740
C2.46(C2×C22≀C2) = D4.(C2×D4)central stem extension (φ=1)32C2.46(C2xC2^2wrC2)128,1741
C2.47(C2×C22≀C2) = (C2×Q8)⋊16D4central stem extension (φ=1)32C2.47(C2xC2^2wrC2)128,1742
C2.48(C2×C22≀C2) = Q8.(C2×D4)central stem extension (φ=1)64C2.48(C2xC2^2wrC2)128,1743
C2.49(C2×C22≀C2) = (C2×D4)⋊21D4central stem extension (φ=1)32C2.49(C2xC2^2wrC2)128,1744
C2.50(C2×C22≀C2) = (C2×Q8)⋊17D4central stem extension (φ=1)64C2.50(C2xC2^2wrC2)128,1745
C2.51(C2×C22≀C2) = C2×D4⋊4D4central stem extension (φ=1)16C2.51(C2xC2^2wrC2)128,1746
C2.52(C2×C22≀C2) = C2×D4.9D4central stem extension (φ=1)32C2.52(C2xC2^2wrC2)128,1747
C2.53(C2×C22≀C2) = C2×D4.8D4central stem extension (φ=1)32C2.53(C2xC2^2wrC2)128,1748
C2.54(C2×C22≀C2) = C2×D4.10D4central stem extension (φ=1)32C2.54(C2xC2^2wrC2)128,1749
C2.55(C2×C22≀C2) = C42.313C23central stem extension (φ=1)164C2.55(C2xC2^2wrC2)128,1750
C2.56(C2×C22≀C2) = M4(2)⋊C23central stem extension (φ=1)168+C2.56(C2xC2^2wrC2)128,1751
C2.57(C2×C22≀C2) = M4(2).C23central stem extension (φ=1)328-C2.57(C2xC2^2wrC2)128,1752
C2.58(C2×C22≀C2) = C42.12C23central stem extension (φ=1)168+C2.58(C2xC2^2wrC2)128,1753
C2.59(C2×C22≀C2) = C42.13C23central stem extension (φ=1)328-C2.59(C2xC2^2wrC2)128,1754
C2.60(C2×C22≀C2) = C2×C2≀C22central stem extension (φ=1)16C2.60(C2xC2^2wrC2)128,1755
C2.61(C2×C22≀C2) = C2×C23.7D4central stem extension (φ=1)32C2.61(C2xC2^2wrC2)128,1756
C2.62(C2×C22≀C2) = C23.7C24central stem extension (φ=1)164C2.62(C2xC2^2wrC2)128,1757
C2.63(C2×C22≀C2) = C24⋊C23central stem extension (φ=1)168+C2.63(C2xC2^2wrC2)128,1758
C2.64(C2×C22≀C2) = C23.9C24central stem extension (φ=1)168+C2.64(C2xC2^2wrC2)128,1759
C2.65(C2×C22≀C2) = C23.10C24central stem extension (φ=1)328-C2.65(C2xC2^2wrC2)128,1760

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