# Extensions 1→N→G→Q→1 with N=C22 and Q=C8○D4

Direct product G=N×Q with N=C22 and Q=C8○D4
dρLabelID
C22×C8○D464C2^2xC8oD4128,2303

Semidirect products G=N:Q with N=C22 and Q=C8○D4
extensionφ:Q→Aut NdρLabelID
C221(C8○D4) = C42.264C23φ: C8○D4/C2×C8C2 ⊆ Aut C2232C2^2:1(C8oD4)128,1661
C222(C8○D4) = M4(2)⋊22D4φ: C8○D4/M4(2)C2 ⊆ Aut C2232C2^2:2(C8oD4)128,1665
C223(C8○D4) = D4○(C22⋊C8)φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2:3(C8oD4)128,1612

Non-split extensions G=N.Q with N=C22 and Q=C8○D4
extensionφ:Q→Aut NdρLabelID
C22.1(C8○D4) = C16○D8φ: C8○D4/C2×C8C2 ⊆ Aut C22322C2^2.1(C8oD4)128,902
C22.2(C8○D4) = D8.C8φ: C8○D4/C2×C8C2 ⊆ Aut C22324C2^2.2(C8oD4)128,903
C22.3(C8○D4) = C42.291C23φ: C8○D4/C2×C8C2 ⊆ Aut C2264C2^2.3(C8oD4)128,1698
C22.4(C8○D4) = C42.297C23φ: C8○D4/C2×C8C2 ⊆ Aut C2232C2^2.4(C8oD4)128,1708
C22.5(C8○D4) = C42.307C23φ: C8○D4/C2×C8C2 ⊆ Aut C2264C2^2.5(C8oD4)128,1724
C22.6(C8○D4) = C42.293C23φ: C8○D4/M4(2)C2 ⊆ Aut C2264C2^2.6(C8oD4)128,1700
C22.7(C8○D4) = C42.298C23φ: C8○D4/M4(2)C2 ⊆ Aut C2232C2^2.7(C8oD4)128,1709
C22.8(C8○D4) = C42.309C23φ: C8○D4/M4(2)C2 ⊆ Aut C2264C2^2.8(C8oD4)128,1726
C22.9(C8○D4) = C23⋊C8⋊C2φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2.9(C8oD4)128,200
C22.10(C8○D4) = C42.395D4φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2.10(C8oD4)128,201
C22.11(C8○D4) = C42.396D4φ: C8○D4/C4○D4C2 ⊆ Aut C2264C2^2.11(C8oD4)128,202
C22.12(C8○D4) = C24.(C2×C4)φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2.12(C8oD4)128,203
C22.13(C8○D4) = C24.45(C2×C4)φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2.13(C8oD4)128,204
C22.14(C8○D4) = C42.372D4φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2.14(C8oD4)128,205
C22.15(C8○D4) = C42.262C23φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2.15(C8oD4)128,1656
C22.16(C8○D4) = D47M4(2)φ: C8○D4/C4○D4C2 ⊆ Aut C2232C2^2.16(C8oD4)128,1706
C22.17(C8○D4) = Q8.4M4(2)φ: C8○D4/C4○D4C2 ⊆ Aut C2264C2^2.17(C8oD4)128,1716
C22.18(C8○D4) = C2.C43central extension (φ=1)128C2^2.18(C8oD4)128,458
C22.19(C8○D4) = C23.29C42central extension (φ=1)64C2^2.19(C8oD4)128,461
C22.20(C8○D4) = (C4×C8)⋊12C4central extension (φ=1)128C2^2.20(C8oD4)128,478
C22.21(C8○D4) = C42.379D4central extension (φ=1)64C2^2.21(C8oD4)128,482
C22.22(C8○D4) = C8×C22⋊C4central extension (φ=1)64C2^2.22(C8oD4)128,483
C22.23(C8○D4) = C23.36C42central extension (φ=1)64C2^2.23(C8oD4)128,484
C22.24(C8○D4) = C23.17C42central extension (φ=1)64C2^2.24(C8oD4)128,485
C22.25(C8○D4) = C42.45Q8central extension (φ=1)128C2^2.25(C8oD4)128,500
C22.26(C8○D4) = C8×C4⋊C4central extension (φ=1)128C2^2.26(C8oD4)128,501
C22.27(C8○D4) = C4⋊C813C4central extension (φ=1)128C2^2.27(C8oD4)128,502
C22.28(C8○D4) = C4⋊C814C4central extension (φ=1)128C2^2.28(C8oD4)128,503
C22.29(C8○D4) = C23.21M4(2)central extension (φ=1)64C2^2.29(C8oD4)128,582
C22.30(C8○D4) = C23.22M4(2)central extension (φ=1)64C2^2.30(C8oD4)128,601
C22.31(C8○D4) = C4⋊C43C8central extension (φ=1)128C2^2.31(C8oD4)128,648
C22.32(C8○D4) = C22⋊C44C8central extension (φ=1)64C2^2.32(C8oD4)128,655
C22.33(C8○D4) = C42.61Q8central extension (φ=1)128C2^2.33(C8oD4)128,671
C22.34(C8○D4) = C42.325D4central extension (φ=1)64C2^2.34(C8oD4)128,686
C22.35(C8○D4) = C42.327D4central extension (φ=1)128C2^2.35(C8oD4)128,716
C22.36(C8○D4) = C2×C82M4(2)central extension (φ=1)64C2^2.36(C8oD4)128,1604
C22.37(C8○D4) = C2×(C22×C8)⋊C2central extension (φ=1)64C2^2.37(C8oD4)128,1610
C22.38(C8○D4) = C2×C42.6C22central extension (φ=1)64C2^2.38(C8oD4)128,1636
C22.39(C8○D4) = C2×C42.7C22central extension (φ=1)64C2^2.39(C8oD4)128,1651
C22.40(C8○D4) = D4×C2×C8central extension (φ=1)64C2^2.40(C8oD4)128,1658
C22.41(C8○D4) = C2×C89D4central extension (φ=1)64C2^2.41(C8oD4)128,1659
C22.42(C8○D4) = C2×C86D4central extension (φ=1)64C2^2.42(C8oD4)128,1660
C22.43(C8○D4) = Q8×C2×C8central extension (φ=1)128C2^2.43(C8oD4)128,1690
C22.44(C8○D4) = C2×C84Q8central extension (φ=1)128C2^2.44(C8oD4)128,1691
C22.45(C8○D4) = C24.51(C2×C4)central stem extension (φ=1)64C2^2.45(C8oD4)128,512
C22.46(C8○D4) = C42.95D4central stem extension (φ=1)64C2^2.46(C8oD4)128,530
C22.47(C8○D4) = C24.53(C2×C4)central stem extension (φ=1)64C2^2.47(C8oD4)128,550
C22.48(C8○D4) = C42.23Q8central stem extension (φ=1)128C2^2.48(C8oD4)128,564
C22.49(C8○D4) = C424C4.C2central stem extension (φ=1)128C2^2.49(C8oD4)128,572
C22.50(C8○D4) = C42.25Q8central stem extension (φ=1)128C2^2.50(C8oD4)128,575
C22.51(C8○D4) = (C2×C8).195D4central stem extension (φ=1)64C2^2.51(C8oD4)128,583
C22.52(C8○D4) = C232M4(2)central stem extension (φ=1)64C2^2.52(C8oD4)128,602
C22.53(C8○D4) = (C2×C8).Q8central stem extension (φ=1)128C2^2.53(C8oD4)128,649
C22.54(C8○D4) = C23.9M4(2)central stem extension (φ=1)64C2^2.54(C8oD4)128,656
C22.55(C8○D4) = C42.27Q8central stem extension (φ=1)128C2^2.55(C8oD4)128,672
C22.56(C8○D4) = C42.109D4central stem extension (φ=1)64C2^2.56(C8oD4)128,687
C22.57(C8○D4) = C42.120D4central stem extension (φ=1)128C2^2.57(C8oD4)128,717

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