Extensions 1→N→G→Q→1 with N=C2 and Q=Q8○M4(2)

Direct product G=N×Q with N=C2 and Q=Q8○M4(2)
dρLabelID
C2×Q8○M4(2)32C2xQ8oM4(2)128,2304


Non-split extensions G=N.Q with N=C2 and Q=Q8○M4(2)
extensionφ:Q→Aut NdρLabelID
C2.1(Q8○M4(2)) = M4(2)○2M4(2)central extension (φ=1)32C2.1(Q8oM4(2))128,1605
C2.2(Q8○M4(2)) = D4.5C42central extension (φ=1)64C2.2(Q8oM4(2))128,1607
C2.3(Q8○M4(2)) = C42.691C23central extension (φ=1)32C2.3(Q8oM4(2))128,1704
C2.4(Q8○M4(2)) = C42.695C23central extension (φ=1)64C2.4(Q8oM4(2))128,1714
C2.5(Q8○M4(2)) = C42.697C23central extension (φ=1)64C2.5(Q8oM4(2))128,1720
C2.6(Q8○M4(2)) = C24.73(C2×C4)central stem extension (φ=1)32C2.6(Q8oM4(2))128,1611
C2.7(Q8○M4(2)) = D4○(C22⋊C8)central stem extension (φ=1)32C2.7(Q8oM4(2))128,1612
C2.8(Q8○M4(2)) = C42.257C23central stem extension (φ=1)32C2.8(Q8oM4(2))128,1637
C2.9(Q8○M4(2)) = C42.674C23central stem extension (φ=1)64C2.9(Q8oM4(2))128,1638
C2.10(Q8○M4(2)) = C42.259C23central stem extension (φ=1)32C2.10(Q8oM4(2))128,1653
C2.11(Q8○M4(2)) = C42.261C23central stem extension (φ=1)64C2.11(Q8oM4(2))128,1655
C2.12(Q8○M4(2)) = C42.262C23central stem extension (φ=1)32C2.12(Q8oM4(2))128,1656
C2.13(Q8○M4(2)) = C42.678C23central stem extension (φ=1)64C2.13(Q8oM4(2))128,1657
C2.14(Q8○M4(2)) = C42.265C23central stem extension (φ=1)32C2.14(Q8oM4(2))128,1662
C2.15(Q8○M4(2)) = C42.266C23central stem extension (φ=1)64C2.15(Q8oM4(2))128,1664
C2.16(Q8○M4(2)) = M4(2)⋊22D4central stem extension (φ=1)32C2.16(Q8oM4(2))128,1665
C2.17(Q8○M4(2)) = D4×M4(2)central stem extension (φ=1)32C2.17(Q8oM4(2))128,1666
C2.18(Q8○M4(2)) = M4(2)⋊23D4central stem extension (φ=1)64C2.18(Q8oM4(2))128,1667
C2.19(Q8○M4(2)) = C42.287C23central stem extension (φ=1)64C2.19(Q8oM4(2))128,1693
C2.20(Q8○M4(2)) = M4(2)⋊9Q8central stem extension (φ=1)64C2.20(Q8oM4(2))128,1694
C2.21(Q8○M4(2)) = Q8×M4(2)central stem extension (φ=1)64C2.21(Q8oM4(2))128,1695
C2.22(Q8○M4(2)) = C42.292C23central stem extension (φ=1)64C2.22(Q8oM4(2))128,1699
C2.23(Q8○M4(2)) = C42.293C23central stem extension (φ=1)64C2.23(Q8oM4(2))128,1700
C2.24(Q8○M4(2)) = C42.294C23central stem extension (φ=1)64C2.24(Q8oM4(2))128,1701
C2.25(Q8○M4(2)) = D46M4(2)central stem extension (φ=1)64C2.25(Q8oM4(2))128,1702
C2.26(Q8○M4(2)) = Q86M4(2)central stem extension (φ=1)64C2.26(Q8oM4(2))128,1703
C2.27(Q8○M4(2)) = C233M4(2)central stem extension (φ=1)32C2.27(Q8oM4(2))128,1705
C2.28(Q8○M4(2)) = C42.693C23central stem extension (φ=1)32C2.28(Q8oM4(2))128,1707
C2.29(Q8○M4(2)) = C42.297C23central stem extension (φ=1)32C2.29(Q8oM4(2))128,1708
C2.30(Q8○M4(2)) = C42.299C23central stem extension (φ=1)32C2.30(Q8oM4(2))128,1710
C2.31(Q8○M4(2)) = C42.300C23central stem extension (φ=1)64C2.31(Q8oM4(2))128,1712
C2.32(Q8○M4(2)) = C42.301C23central stem extension (φ=1)64C2.32(Q8oM4(2))128,1713
C2.33(Q8○M4(2)) = C42.302C23central stem extension (φ=1)64C2.33(Q8oM4(2))128,1715
C2.34(Q8○M4(2)) = C42.696C23central stem extension (φ=1)64C2.34(Q8oM4(2))128,1717
C2.35(Q8○M4(2)) = C42.305C23central stem extension (φ=1)64C2.35(Q8oM4(2))128,1719
C2.36(Q8○M4(2)) = C42.698C23central stem extension (φ=1)64C2.36(Q8oM4(2))128,1721
C2.37(Q8○M4(2)) = C42.307C23central stem extension (φ=1)64C2.37(Q8oM4(2))128,1724
C2.38(Q8○M4(2)) = C42.308C23central stem extension (φ=1)64C2.38(Q8oM4(2))128,1725
C2.39(Q8○M4(2)) = C42.310C23central stem extension (φ=1)64C2.39(Q8oM4(2))128,1727

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