Extensions 1→N→G→Q→1 with N=D4 and Q=C4oD4

Direct product G=NxQ with N=D4 and Q=C4oD4
dρLabelID
D4xC4oD432D4xC4oD4128,2200

Semidirect products G=N:Q with N=D4 and Q=C4oD4
extensionφ:Q→Out NdρLabelID
D4:1(C4oD4) = C42.221D4φ: C4oD4/C2xC4C2 ⊆ Out D432D4:1(C4oD4)128,1832
D4:2(C4oD4) = C42.450D4φ: C4oD4/C2xC4C2 ⊆ Out D464D4:2(C4oD4)128,1838
D4:3(C4oD4) = C42.227D4φ: C4oD4/C2xC4C2 ⊆ Out D432D4:3(C4oD4)128,1841
D4:4(C4oD4) = C42.233D4φ: C4oD4/C2xC4C2 ⊆ Out D464D4:4(C4oD4)128,1847
D4:5(C4oD4) = D4:4D8φ: C4oD4/D4C2 ⊆ Out D432D4:5(C4oD4)128,2026
D4:6(C4oD4) = C42.41C23φ: C4oD4/D4C2 ⊆ Out D432D4:6(C4oD4)128,2038
D4:7(C4oD4) = C42.479C23φ: C4oD4/D4C2 ⊆ Out D464D4:7(C4oD4)128,2062
D4:8(C4oD4) = Q8:4D8φ: C4oD4/Q8C2 ⊆ Out D464D4:8(C4oD4)128,2090
D4:9(C4oD4) = C42.507C23φ: C4oD4/Q8C2 ⊆ Out D464D4:9(C4oD4)128,2098
D4:10(C4oD4) = C22.64C25φ: trivial image32D4:10(C4oD4)128,2207
D4:11(C4oD4) = C22.70C25φ: trivial image32D4:11(C4oD4)128,2213
D4:12(C4oD4) = C22.71C25φ: trivial image64D4:12(C4oD4)128,2214
D4:13(C4oD4) = C22.102C25φ: trivial image32D4:13(C4oD4)128,2245
D4:14(C4oD4) = C22.103C25φ: trivial image32D4:14(C4oD4)128,2246
D4:15(C4oD4) = C22.108C25φ: trivial image32D4:15(C4oD4)128,2251
D4:16(C4oD4) = C23.144C24φ: trivial image32D4:16(C4oD4)128,2252

Non-split extensions G=N.Q with N=D4 and Q=C4oD4
extensionφ:Q→Out NdρLabelID
D4.1(C4oD4) = C42.222D4φ: C4oD4/C2xC4C2 ⊆ Out D432D4.1(C4oD4)128,1833
D4.2(C4oD4) = C42.384D4φ: C4oD4/C2xC4C2 ⊆ Out D464D4.2(C4oD4)128,1834
D4.3(C4oD4) = C42.225D4φ: C4oD4/C2xC4C2 ⊆ Out D432D4.3(C4oD4)128,1837
D4.4(C4oD4) = C42.451D4φ: C4oD4/C2xC4C2 ⊆ Out D464D4.4(C4oD4)128,1839
D4.5(C4oD4) = C42.228D4φ: C4oD4/C2xC4C2 ⊆ Out D432D4.5(C4oD4)128,1842
D4.6(C4oD4) = C42.229D4φ: C4oD4/C2xC4C2 ⊆ Out D464D4.6(C4oD4)128,1843
D4.7(C4oD4) = C42.232D4φ: C4oD4/C2xC4C2 ⊆ Out D432D4.7(C4oD4)128,1846
D4.8(C4oD4) = C42.234D4φ: C4oD4/C2xC4C2 ⊆ Out D464D4.8(C4oD4)128,1848
D4.9(C4oD4) = C42.352C23φ: C4oD4/C2xC4C2 ⊆ Out D432D4.9(C4oD4)128,1850
D4.10(C4oD4) = C42.353C23φ: C4oD4/C2xC4C2 ⊆ Out D464D4.10(C4oD4)128,1851
D4.11(C4oD4) = C42.354C23φ: C4oD4/C2xC4C2 ⊆ Out D464D4.11(C4oD4)128,1852
D4.12(C4oD4) = C42.356C23φ: C4oD4/C2xC4C2 ⊆ Out D432D4.12(C4oD4)128,1854
D4.13(C4oD4) = C42.357C23φ: C4oD4/C2xC4C2 ⊆ Out D432D4.13(C4oD4)128,1855
D4.14(C4oD4) = C42.358C23φ: C4oD4/C2xC4C2 ⊆ Out D464D4.14(C4oD4)128,1856
D4.15(C4oD4) = C42.359C23φ: C4oD4/C2xC4C2 ⊆ Out D464D4.15(C4oD4)128,1857
D4.16(C4oD4) = D4:7SD16φ: C4oD4/D4C2 ⊆ Out D432D4.16(C4oD4)128,2027
D4.17(C4oD4) = C42.461C23φ: C4oD4/D4C2 ⊆ Out D432D4.17(C4oD4)128,2028
D4.18(C4oD4) = C42.462C23φ: C4oD4/D4C2 ⊆ Out D432D4.18(C4oD4)128,2029
D4.19(C4oD4) = C42.467C23φ: C4oD4/D4C2 ⊆ Out D464D4.19(C4oD4)128,2034
D4.20(C4oD4) = C42.468C23φ: C4oD4/D4C2 ⊆ Out D464D4.20(C4oD4)128,2035
D4.21(C4oD4) = C42.42C23φ: C4oD4/D4C2 ⊆ Out D464D4.21(C4oD4)128,2039
D4.22(C4oD4) = C42.45C23φ: C4oD4/D4C2 ⊆ Out D432D4.22(C4oD4)128,2042
D4.23(C4oD4) = C42.46C23φ: C4oD4/D4C2 ⊆ Out D432D4.23(C4oD4)128,2043
D4.24(C4oD4) = C42.49C23φ: C4oD4/D4C2 ⊆ Out D432D4.24(C4oD4)128,2046
D4.25(C4oD4) = C42.50C23φ: C4oD4/D4C2 ⊆ Out D464D4.25(C4oD4)128,2047
D4.26(C4oD4) = C42.53C23φ: C4oD4/D4C2 ⊆ Out D432D4.26(C4oD4)128,2050
D4.27(C4oD4) = C42.54C23φ: C4oD4/D4C2 ⊆ Out D432D4.27(C4oD4)128,2051
D4.28(C4oD4) = C42.471C23φ: C4oD4/D4C2 ⊆ Out D432D4.28(C4oD4)128,2054
D4.29(C4oD4) = C42.472C23φ: C4oD4/D4C2 ⊆ Out D432D4.29(C4oD4)128,2055
D4.30(C4oD4) = C42.473C23φ: C4oD4/D4C2 ⊆ Out D432D4.30(C4oD4)128,2056
D4.31(C4oD4) = C42.474C23φ: C4oD4/D4C2 ⊆ Out D432D4.31(C4oD4)128,2057
D4.32(C4oD4) = C42.480C23φ: C4oD4/D4C2 ⊆ Out D464D4.32(C4oD4)128,2063
D4.33(C4oD4) = Q8:7SD16φ: C4oD4/Q8C2 ⊆ Out D464D4.33(C4oD4)128,2091
D4.34(C4oD4) = C42.501C23φ: C4oD4/Q8C2 ⊆ Out D464D4.34(C4oD4)128,2092
D4.35(C4oD4) = C42.502C23φ: C4oD4/Q8C2 ⊆ Out D464D4.35(C4oD4)128,2093
D4.36(C4oD4) = C42.508C23φ: C4oD4/Q8C2 ⊆ Out D464D4.36(C4oD4)128,2099
D4.37(C4oD4) = C42.511C23φ: C4oD4/Q8C2 ⊆ Out D464D4.37(C4oD4)128,2102
D4.38(C4oD4) = C42.513C23φ: C4oD4/Q8C2 ⊆ Out D464D4.38(C4oD4)128,2104
D4.39(C4oD4) = C42.514C23φ: C4oD4/Q8C2 ⊆ Out D464D4.39(C4oD4)128,2105
D4.40(C4oD4) = C42.517C23φ: C4oD4/Q8C2 ⊆ Out D464D4.40(C4oD4)128,2108
D4.41(C4oD4) = C22.104C25φ: trivial image64D4.41(C4oD4)128,2247
D4.42(C4oD4) = C22.110C25φ: trivial image32D4.42(C4oD4)128,2253

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