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Extensions 1→N→G→Q→1 with N=C22 and Q=C8oD4

Direct product G=NxQ with N=C22 and Q=C8oD4
dρLabelID
C22xC8oD464C2^2xC8oD4128,2303

Semidirect products G=N:Q with N=C22 and Q=C8oD4
extensionφ:Q→Aut NdρLabelID
C22:1(C8oD4) = C42.264C23φ: C8oD4/C2xC8 → C2 ⊆ Aut C2232C2^2:1(C8oD4)128,1661
C22:2(C8oD4) = M4(2):22D4φ: C8oD4/M4(2) → C2 ⊆ Aut C2232C2^2:2(C8oD4)128,1665
C22:3(C8oD4) = D4o(C22:C8)φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2:3(C8oD4)128,1612

Non-split extensions G=N.Q with N=C22 and Q=C8oD4
extensionφ:Q→Aut NdρLabelID
C22.1(C8oD4) = C16oD8φ: C8oD4/C2xC8 → C2 ⊆ Aut C22322C2^2.1(C8oD4)128,902
C22.2(C8oD4) = D8.C8φ: C8oD4/C2xC8 → C2 ⊆ Aut C22324C2^2.2(C8oD4)128,903
C22.3(C8oD4) = C42.291C23φ: C8oD4/C2xC8 → C2 ⊆ Aut C2264C2^2.3(C8oD4)128,1698
C22.4(C8oD4) = C42.297C23φ: C8oD4/C2xC8 → C2 ⊆ Aut C2232C2^2.4(C8oD4)128,1708
C22.5(C8oD4) = C42.307C23φ: C8oD4/C2xC8 → C2 ⊆ Aut C2264C2^2.5(C8oD4)128,1724
C22.6(C8oD4) = C42.293C23φ: C8oD4/M4(2) → C2 ⊆ Aut C2264C2^2.6(C8oD4)128,1700
C22.7(C8oD4) = C42.298C23φ: C8oD4/M4(2) → C2 ⊆ Aut C2232C2^2.7(C8oD4)128,1709
C22.8(C8oD4) = C42.309C23φ: C8oD4/M4(2) → C2 ⊆ Aut C2264C2^2.8(C8oD4)128,1726
C22.9(C8oD4) = C23:C8:C2φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2.9(C8oD4)128,200
C22.10(C8oD4) = C42.395D4φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2.10(C8oD4)128,201
C22.11(C8oD4) = C42.396D4φ: C8oD4/C4oD4 → C2 ⊆ Aut C2264C2^2.11(C8oD4)128,202
C22.12(C8oD4) = C24.(C2xC4)φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2.12(C8oD4)128,203
C22.13(C8oD4) = C24.45(C2xC4)φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2.13(C8oD4)128,204
C22.14(C8oD4) = C42.372D4φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2.14(C8oD4)128,205
C22.15(C8oD4) = C42.262C23φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2.15(C8oD4)128,1656
C22.16(C8oD4) = D4:7M4(2)φ: C8oD4/C4oD4 → C2 ⊆ Aut C2232C2^2.16(C8oD4)128,1706
C22.17(C8oD4) = Q8.4M4(2)φ: C8oD4/C4oD4 → C2 ⊆ Aut C2264C2^2.17(C8oD4)128,1716
C22.18(C8oD4) = C2.C43central extension (φ=1)128C2^2.18(C8oD4)128,458
C22.19(C8oD4) = C23.29C42central extension (φ=1)64C2^2.19(C8oD4)128,461
C22.20(C8oD4) = (C4xC8):12C4central extension (φ=1)128C2^2.20(C8oD4)128,478
C22.21(C8oD4) = C42.379D4central extension (φ=1)64C2^2.21(C8oD4)128,482
C22.22(C8oD4) = C8xC22:C4central extension (φ=1)64C2^2.22(C8oD4)128,483
C22.23(C8oD4) = C23.36C42central extension (φ=1)64C2^2.23(C8oD4)128,484
C22.24(C8oD4) = C23.17C42central extension (φ=1)64C2^2.24(C8oD4)128,485
C22.25(C8oD4) = C42.45Q8central extension (φ=1)128C2^2.25(C8oD4)128,500
C22.26(C8oD4) = C8xC4:C4central extension (φ=1)128C2^2.26(C8oD4)128,501
C22.27(C8oD4) = C4:C8:13C4central extension (φ=1)128C2^2.27(C8oD4)128,502
C22.28(C8oD4) = C4:C8:14C4central extension (φ=1)128C2^2.28(C8oD4)128,503
C22.29(C8oD4) = C23.21M4(2)central extension (φ=1)64C2^2.29(C8oD4)128,582
C22.30(C8oD4) = C23.22M4(2)central extension (φ=1)64C2^2.30(C8oD4)128,601
C22.31(C8oD4) = C4:C4:3C8central extension (φ=1)128C2^2.31(C8oD4)128,648
C22.32(C8oD4) = C22:C4:4C8central extension (φ=1)64C2^2.32(C8oD4)128,655
C22.33(C8oD4) = C42.61Q8central extension (φ=1)128C2^2.33(C8oD4)128,671
C22.34(C8oD4) = C42.325D4central extension (φ=1)64C2^2.34(C8oD4)128,686
C22.35(C8oD4) = C42.327D4central extension (φ=1)128C2^2.35(C8oD4)128,716
C22.36(C8oD4) = C2xC8o2M4(2)central extension (φ=1)64C2^2.36(C8oD4)128,1604
C22.37(C8oD4) = C2x(C22xC8):C2central extension (φ=1)64C2^2.37(C8oD4)128,1610
C22.38(C8oD4) = C2xC42.6C22central extension (φ=1)64C2^2.38(C8oD4)128,1636
C22.39(C8oD4) = C2xC42.7C22central extension (φ=1)64C2^2.39(C8oD4)128,1651
C22.40(C8oD4) = D4xC2xC8central extension (φ=1)64C2^2.40(C8oD4)128,1658
C22.41(C8oD4) = C2xC8:9D4central extension (φ=1)64C2^2.41(C8oD4)128,1659
C22.42(C8oD4) = C2xC8:6D4central extension (φ=1)64C2^2.42(C8oD4)128,1660
C22.43(C8oD4) = Q8xC2xC8central extension (φ=1)128C2^2.43(C8oD4)128,1690
C22.44(C8oD4) = C2xC8:4Q8central extension (φ=1)128C2^2.44(C8oD4)128,1691
C22.45(C8oD4) = C24.51(C2xC4)central stem extension (φ=1)64C2^2.45(C8oD4)128,512
C22.46(C8oD4) = C42.95D4central stem extension (φ=1)64C2^2.46(C8oD4)128,530
C22.47(C8oD4) = C24.53(C2xC4)central stem extension (φ=1)64C2^2.47(C8oD4)128,550
C22.48(C8oD4) = C42.23Q8central stem extension (φ=1)128C2^2.48(C8oD4)128,564
C22.49(C8oD4) = C42:4C4.C2central stem extension (φ=1)128C2^2.49(C8oD4)128,572
C22.50(C8oD4) = C42.25Q8central stem extension (φ=1)128C2^2.50(C8oD4)128,575
C22.51(C8oD4) = (C2xC8).195D4central stem extension (φ=1)64C2^2.51(C8oD4)128,583
C22.52(C8oD4) = C23:2M4(2)central stem extension (φ=1)64C2^2.52(C8oD4)128,602
C22.53(C8oD4) = (C2xC8).Q8central stem extension (φ=1)128C2^2.53(C8oD4)128,649
C22.54(C8oD4) = C23.9M4(2)central stem extension (φ=1)64C2^2.54(C8oD4)128,656
C22.55(C8oD4) = C42.27Q8central stem extension (φ=1)128C2^2.55(C8oD4)128,672
C22.56(C8oD4) = C42.109D4central stem extension (φ=1)64C2^2.56(C8oD4)128,687
C22.57(C8oD4) = C42.120D4central stem extension (φ=1)128C2^2.57(C8oD4)128,717

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