# Extensions 1→N→G→Q→1 with N=C4 and Q=C22×D4

Direct product G=N×Q with N=C4 and Q=C22×D4
dρLabelID
D4×C22×C464D4xC2^2xC4128,2154

Semidirect products G=N:Q with N=C4 and Q=C22×D4
extensionφ:Q→Aut NdρLabelID
C41(C22×D4) = C22×C41D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4:1(C2^2xD4)128,2172
C42(C22×D4) = C2×D42φ: C22×D4/C2×D4C2 ⊆ Aut C432C4:2(C2^2xD4)128,2194
C43(C22×D4) = C22×C4⋊D4φ: C22×D4/C24C2 ⊆ Aut C464C4:3(C2^2xD4)128,2164

Non-split extensions G=N.Q with N=C4 and Q=C22×D4
extensionφ:Q→Aut NdρLabelID
C4.1(C22×D4) = C2×C85D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.1(C2^2xD4)128,1875
C4.2(C22×D4) = C2×C84D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.2(C2^2xD4)128,1876
C4.3(C22×D4) = C2×C4⋊Q16φ: C22×D4/C22×C4C2 ⊆ Aut C4128C4.3(C2^2xD4)128,1877
C4.4(C22×D4) = C2×C8.12D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.4(C2^2xD4)128,1878
C4.5(C22×D4) = C42.360D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.5(C2^2xD4)128,1879
C4.6(C22×D4) = C2×C83D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.6(C2^2xD4)128,1880
C4.7(C22×D4) = C2×C8.2D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.7(C2^2xD4)128,1881
C4.8(C22×D4) = C42.247D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.8(C2^2xD4)128,1882
C4.9(C22×D4) = M4(2)⋊7D4φ: C22×D4/C22×C4C2 ⊆ Aut C432C4.9(C2^2xD4)128,1883
C4.10(C22×D4) = M4(2)⋊8D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.10(C2^2xD4)128,1884
C4.11(C22×D4) = M4(2)⋊9D4φ: C22×D4/C22×C4C2 ⊆ Aut C432C4.11(C2^2xD4)128,1885
C4.12(C22×D4) = M4(2)⋊10D4φ: C22×D4/C22×C4C2 ⊆ Aut C432C4.12(C2^2xD4)128,1886
C4.13(C22×D4) = M4(2)⋊11D4φ: C22×D4/C22×C4C2 ⊆ Aut C432C4.13(C2^2xD4)128,1887
C4.14(C22×D4) = M4(2).20D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.14(C2^2xD4)128,1888
C4.15(C22×D4) = C22×D16φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.15(C2^2xD4)128,2140
C4.16(C22×D4) = C22×SD32φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.16(C2^2xD4)128,2141
C4.17(C22×D4) = C22×Q32φ: C22×D4/C22×C4C2 ⊆ Aut C4128C4.17(C2^2xD4)128,2142
C4.18(C22×D4) = C2×C4○D16φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.18(C2^2xD4)128,2143
C4.19(C22×D4) = C2×C16⋊C22φ: C22×D4/C22×C4C2 ⊆ Aut C432C4.19(C2^2xD4)128,2144
C4.20(C22×D4) = C2×Q32⋊C2φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.20(C2^2xD4)128,2145
C4.21(C22×D4) = D16⋊C22φ: C22×D4/C22×C4C2 ⊆ Aut C4324C4.21(C2^2xD4)128,2146
C4.22(C22×D4) = D4○D16φ: C22×D4/C22×C4C2 ⊆ Aut C4324+C4.22(C2^2xD4)128,2147
C4.23(C22×D4) = D4○SD32φ: C22×D4/C22×C4C2 ⊆ Aut C4324C4.23(C2^2xD4)128,2148
C4.24(C22×D4) = Q8○D16φ: C22×D4/C22×C4C2 ⊆ Aut C4644-C4.24(C2^2xD4)128,2149
C4.25(C22×D4) = C22×C4.4D4φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.25(C2^2xD4)128,2168
C4.26(C22×D4) = C22×C4⋊Q8φ: C22×D4/C22×C4C2 ⊆ Aut C4128C4.26(C2^2xD4)128,2173
C4.27(C22×D4) = C23×D8φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.27(C2^2xD4)128,2306
C4.28(C22×D4) = C23×SD16φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.28(C2^2xD4)128,2307
C4.29(C22×D4) = C23×Q16φ: C22×D4/C22×C4C2 ⊆ Aut C4128C4.29(C2^2xD4)128,2308
C4.30(C22×D4) = C22×C4○D8φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.30(C2^2xD4)128,2309
C4.31(C22×D4) = C22×C8⋊C22φ: C22×D4/C22×C4C2 ⊆ Aut C432C4.31(C2^2xD4)128,2310
C4.32(C22×D4) = C22×C8.C22φ: C22×D4/C22×C4C2 ⊆ Aut C464C4.32(C2^2xD4)128,2311
C4.33(C22×D4) = C2×C22⋊D8φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.33(C2^2xD4)128,1728
C4.34(C22×D4) = C2×C22⋊SD16φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.34(C2^2xD4)128,1729
C4.35(C22×D4) = C2×Q8⋊D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.35(C2^2xD4)128,1730
C4.36(C22×D4) = C2×C22⋊Q16φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.36(C2^2xD4)128,1731
C4.37(C22×D4) = C2×D4⋊D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.37(C2^2xD4)128,1732
C4.38(C22×D4) = C2×D4.7D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.38(C2^2xD4)128,1733
C4.39(C22×D4) = C24.103D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.39(C2^2xD4)128,1734
C4.40(C22×D4) = C24.177D4φ: C22×D4/C2×D4C2 ⊆ Aut C416C4.40(C2^2xD4)128,1735
C4.41(C22×D4) = C24.178D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.41(C2^2xD4)128,1736
C4.42(C22×D4) = C24.104D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.42(C2^2xD4)128,1737
C4.43(C22×D4) = C24.105D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.43(C2^2xD4)128,1738
C4.44(C22×D4) = C24.106D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.44(C2^2xD4)128,1739
C4.45(C22×D4) = C4○D4⋊D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.45(C2^2xD4)128,1740
C4.46(C22×D4) = D4.(C2×D4)φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.46(C2^2xD4)128,1741
C4.47(C22×D4) = (C2×Q8)⋊16D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.47(C2^2xD4)128,1742
C4.48(C22×D4) = Q8.(C2×D4)φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.48(C2^2xD4)128,1743
C4.49(C22×D4) = (C2×D4)⋊21D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.49(C2^2xD4)128,1744
C4.50(C22×D4) = (C2×Q8)⋊17D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.50(C2^2xD4)128,1745
C4.51(C22×D4) = C2×D44D4φ: C22×D4/C2×D4C2 ⊆ Aut C416C4.51(C2^2xD4)128,1746
C4.52(C22×D4) = C2×D4.9D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.52(C2^2xD4)128,1747
C4.53(C22×D4) = C2×D4.8D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.53(C2^2xD4)128,1748
C4.54(C22×D4) = C2×D4.10D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.54(C2^2xD4)128,1749
C4.55(C22×D4) = C42.313C23φ: C22×D4/C2×D4C2 ⊆ Aut C4164C4.55(C2^2xD4)128,1750
C4.56(C22×D4) = M4(2)⋊C23φ: C22×D4/C2×D4C2 ⊆ Aut C4168+C4.56(C2^2xD4)128,1751
C4.57(C22×D4) = M4(2).C23φ: C22×D4/C2×D4C2 ⊆ Aut C4328-C4.57(C2^2xD4)128,1752
C4.58(C22×D4) = C42.12C23φ: C22×D4/C2×D4C2 ⊆ Aut C4168+C4.58(C2^2xD4)128,1753
C4.59(C22×D4) = C42.13C23φ: C22×D4/C2×D4C2 ⊆ Aut C4328-C4.59(C2^2xD4)128,1754
C4.60(C22×D4) = C2×C4⋊D8φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.60(C2^2xD4)128,1761
C4.61(C22×D4) = C2×D4.D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.61(C2^2xD4)128,1762
C4.62(C22×D4) = C2×D4.2D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.62(C2^2xD4)128,1763
C4.63(C22×D4) = C2×C4⋊SD16φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.63(C2^2xD4)128,1764
C4.64(C22×D4) = C2×C42Q16φ: C22×D4/C2×D4C2 ⊆ Aut C4128C4.64(C2^2xD4)128,1765
C4.65(C22×D4) = C2×Q8.D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.65(C2^2xD4)128,1766
C4.66(C22×D4) = C42.443D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.66(C2^2xD4)128,1767
C4.67(C22×D4) = C42.211D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.67(C2^2xD4)128,1768
C4.68(C22×D4) = C42.212D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.68(C2^2xD4)128,1769
C4.69(C22×D4) = C42.444D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.69(C2^2xD4)128,1770
C4.70(C22×D4) = C42.445D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.70(C2^2xD4)128,1771
C4.71(C22×D4) = C42.446D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.71(C2^2xD4)128,1772
C4.72(C22×D4) = C42.14C23φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.72(C2^2xD4)128,1773
C4.73(C22×D4) = C42.15C23φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.73(C2^2xD4)128,1774
C4.74(C22×D4) = C42.16C23φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.74(C2^2xD4)128,1775
C4.75(C22×D4) = C42.17C23φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.75(C2^2xD4)128,1776
C4.76(C22×D4) = C42.18C23φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.76(C2^2xD4)128,1777
C4.77(C22×D4) = C42.19C23φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.77(C2^2xD4)128,1778
C4.78(C22×D4) = D89D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.78(C2^2xD4)128,1996
C4.79(C22×D4) = SD16⋊D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.79(C2^2xD4)128,1997
C4.80(C22×D4) = SD166D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.80(C2^2xD4)128,1998
C4.81(C22×D4) = D810D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.81(C2^2xD4)128,1999
C4.82(C22×D4) = SD167D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.82(C2^2xD4)128,2000
C4.83(C22×D4) = SD168D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.83(C2^2xD4)128,2001
C4.84(C22×D4) = Q169D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.84(C2^2xD4)128,2002
C4.85(C22×D4) = Q1610D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.85(C2^2xD4)128,2003
C4.86(C22×D4) = D84D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.86(C2^2xD4)128,2004
C4.87(C22×D4) = D85D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.87(C2^2xD4)128,2005
C4.88(C22×D4) = SD161D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.88(C2^2xD4)128,2006
C4.89(C22×D4) = SD162D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.89(C2^2xD4)128,2007
C4.90(C22×D4) = SD163D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.90(C2^2xD4)128,2008
C4.91(C22×D4) = Q164D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.91(C2^2xD4)128,2009
C4.92(C22×D4) = Q165D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.92(C2^2xD4)128,2010
C4.93(C22×D4) = D4×D8φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.93(C2^2xD4)128,2011
C4.94(C22×D4) = D812D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.94(C2^2xD4)128,2012
C4.95(C22×D4) = D4×SD16φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.95(C2^2xD4)128,2013
C4.96(C22×D4) = SD1610D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.96(C2^2xD4)128,2014
C4.97(C22×D4) = D813D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.97(C2^2xD4)128,2015
C4.98(C22×D4) = SD1611D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.98(C2^2xD4)128,2016
C4.99(C22×D4) = Q1612D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.99(C2^2xD4)128,2017
C4.100(C22×D4) = D4×Q16φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.100(C2^2xD4)128,2018
C4.101(C22×D4) = Q1613D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.101(C2^2xD4)128,2019
C4.102(C22×D4) = D811D4φ: C22×D4/C2×D4C2 ⊆ Aut C4168+C4.102(C2^2xD4)128,2020
C4.103(C22×D4) = D8.13D4φ: C22×D4/C2×D4C2 ⊆ Aut C4328-C4.103(C2^2xD4)128,2021
C4.104(C22×D4) = D8○SD16φ: C22×D4/C2×D4C2 ⊆ Aut C4324C4.104(C2^2xD4)128,2022
C4.105(C22×D4) = D86D4φ: C22×D4/C2×D4C2 ⊆ Aut C4164C4.105(C2^2xD4)128,2023
C4.106(C22×D4) = D8○D8φ: C22×D4/C2×D4C2 ⊆ Aut C4164+C4.106(C2^2xD4)128,2024
C4.107(C22×D4) = D8○Q16φ: C22×D4/C2×D4C2 ⊆ Aut C4324-C4.107(C2^2xD4)128,2025
C4.108(C22×D4) = C2×D45D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.108(C2^2xD4)128,2195
C4.109(C22×D4) = C2×D46D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.109(C2^2xD4)128,2196
C4.110(C22×D4) = C2×Q85D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.110(C2^2xD4)128,2197
C4.111(C22×D4) = C2×D4×Q8φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.111(C2^2xD4)128,2198
C4.112(C22×D4) = C2×Q86D4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.112(C2^2xD4)128,2199
C4.113(C22×D4) = D4×C4○D4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.113(C2^2xD4)128,2200
C4.114(C22×D4) = C22.73C25φ: C22×D4/C2×D4C2 ⊆ Aut C416C4.114(C2^2xD4)128,2216
C4.115(C22×D4) = C22.74C25φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.115(C2^2xD4)128,2217
C4.116(C22×D4) = C22.75C25φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.116(C2^2xD4)128,2218
C4.117(C22×D4) = C22.76C25φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.117(C2^2xD4)128,2219
C4.118(C22×D4) = C22.77C25φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.118(C2^2xD4)128,2220
C4.119(C22×D4) = C22.78C25φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.119(C2^2xD4)128,2221
C4.120(C22×D4) = C4⋊2+ 1+4φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.120(C2^2xD4)128,2228
C4.121(C22×D4) = C4⋊2- 1+4φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.121(C2^2xD4)128,2229
C4.122(C22×D4) = C22.87C25φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.122(C2^2xD4)128,2230
C4.123(C22×D4) = C22.88C25φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.123(C2^2xD4)128,2231
C4.124(C22×D4) = C22.89C25φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.124(C2^2xD4)128,2232
C4.125(C22×D4) = C2×D4○D8φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.125(C2^2xD4)128,2313
C4.126(C22×D4) = C2×D4○SD16φ: C22×D4/C2×D4C2 ⊆ Aut C432C4.126(C2^2xD4)128,2314
C4.127(C22×D4) = C2×Q8○D8φ: C22×D4/C2×D4C2 ⊆ Aut C464C4.127(C2^2xD4)128,2315
C4.128(C22×D4) = C8.C24φ: C22×D4/C2×D4C2 ⊆ Aut C4324C4.128(C2^2xD4)128,2316
C4.129(C22×D4) = D8⋊C23φ: C22×D4/C2×D4C2 ⊆ Aut C4168+C4.129(C2^2xD4)128,2317
C4.130(C22×D4) = C4.C25φ: C22×D4/C2×D4C2 ⊆ Aut C4328-C4.130(C2^2xD4)128,2318
C4.131(C22×D4) = C22×C4.D4φ: C22×D4/C24C2 ⊆ Aut C432C4.131(C2^2xD4)128,1617
C4.132(C22×D4) = C22×C4.10D4φ: C22×D4/C24C2 ⊆ Aut C464C4.132(C2^2xD4)128,1618
C4.133(C22×D4) = C2×M4(2).8C22φ: C22×D4/C24C2 ⊆ Aut C432C4.133(C2^2xD4)128,1619
C4.134(C22×D4) = M4(2).24C23φ: C22×D4/C24C2 ⊆ Aut C4168+C4.134(C2^2xD4)128,1620
C4.135(C22×D4) = M4(2).25C23φ: C22×D4/C24C2 ⊆ Aut C4328-C4.135(C2^2xD4)128,1621
C4.136(C22×D4) = C22×D4⋊C4φ: C22×D4/C24C2 ⊆ Aut C464C4.136(C2^2xD4)128,1622
C4.137(C22×D4) = C22×Q8⋊C4φ: C22×D4/C24C2 ⊆ Aut C4128C4.137(C2^2xD4)128,1623
C4.138(C22×D4) = C2×C23.24D4φ: C22×D4/C24C2 ⊆ Aut C464C4.138(C2^2xD4)128,1624
C4.139(C22×D4) = C2×C23.37D4φ: C22×D4/C24C2 ⊆ Aut C432C4.139(C2^2xD4)128,1625
C4.140(C22×D4) = C2×C23.38D4φ: C22×D4/C24C2 ⊆ Aut C464C4.140(C2^2xD4)128,1626
C4.141(C22×D4) = C2×C23.36D4φ: C22×D4/C24C2 ⊆ Aut C464C4.141(C2^2xD4)128,1627
C4.142(C22×D4) = C24.98D4φ: C22×D4/C24C2 ⊆ Aut C432C4.142(C2^2xD4)128,1628
C4.143(C22×D4) = 2+ 1+45C4φ: C22×D4/C24C2 ⊆ Aut C432C4.143(C2^2xD4)128,1629
C4.144(C22×D4) = 2- 1+44C4φ: C22×D4/C24C2 ⊆ Aut C464C4.144(C2^2xD4)128,1630
C4.145(C22×D4) = C2×C88D4φ: C22×D4/C24C2 ⊆ Aut C464C4.145(C2^2xD4)128,1779
C4.146(C22×D4) = C2×C87D4φ: C22×D4/C24C2 ⊆ Aut C464C4.146(C2^2xD4)128,1780
C4.147(C22×D4) = C2×C8.18D4φ: C22×D4/C24C2 ⊆ Aut C464C4.147(C2^2xD4)128,1781
C4.148(C22×D4) = C24.144D4φ: C22×D4/C24C2 ⊆ Aut C432C4.148(C2^2xD4)128,1782
C4.149(C22×D4) = C2×C8⋊D4φ: C22×D4/C24C2 ⊆ Aut C464C4.149(C2^2xD4)128,1783
C4.150(C22×D4) = C2×C82D4φ: C22×D4/C24C2 ⊆ Aut C464C4.150(C2^2xD4)128,1784
C4.151(C22×D4) = C2×C8.D4φ: C22×D4/C24C2 ⊆ Aut C464C4.151(C2^2xD4)128,1785
C4.152(C22×D4) = C24.110D4φ: C22×D4/C24C2 ⊆ Aut C432C4.152(C2^2xD4)128,1786
C4.153(C22×D4) = M4(2)⋊14D4φ: C22×D4/C24C2 ⊆ Aut C432C4.153(C2^2xD4)128,1787
C4.154(C22×D4) = M4(2)⋊15D4φ: C22×D4/C24C2 ⊆ Aut C432C4.154(C2^2xD4)128,1788
C4.155(C22×D4) = (C2×C8)⋊11D4φ: C22×D4/C24C2 ⊆ Aut C432C4.155(C2^2xD4)128,1789
C4.156(C22×D4) = (C2×C8)⋊12D4φ: C22×D4/C24C2 ⊆ Aut C432C4.156(C2^2xD4)128,1790
C4.157(C22×D4) = C8.D4⋊C2φ: C22×D4/C24C2 ⊆ Aut C464C4.157(C2^2xD4)128,1791
C4.158(C22×D4) = (C2×C8)⋊13D4φ: C22×D4/C24C2 ⊆ Aut C464C4.158(C2^2xD4)128,1792
C4.159(C22×D4) = (C2×C8)⋊14D4φ: C22×D4/C24C2 ⊆ Aut C464C4.159(C2^2xD4)128,1793
C4.160(C22×D4) = M4(2)⋊16D4φ: C22×D4/C24C2 ⊆ Aut C432C4.160(C2^2xD4)128,1794
C4.161(C22×D4) = M4(2)⋊17D4φ: C22×D4/C24C2 ⊆ Aut C464C4.161(C2^2xD4)128,1795
C4.162(C22×D4) = C2×D4.3D4φ: C22×D4/C24C2 ⊆ Aut C432C4.162(C2^2xD4)128,1796
C4.163(C22×D4) = C2×D4.4D4φ: C22×D4/C24C2 ⊆ Aut C432C4.163(C2^2xD4)128,1797
C4.164(C22×D4) = C2×D4.5D4φ: C22×D4/C24C2 ⊆ Aut C464C4.164(C2^2xD4)128,1798
C4.165(C22×D4) = M4(2).10C23φ: C22×D4/C24C2 ⊆ Aut C4324C4.165(C2^2xD4)128,1799
C4.166(C22×D4) = M4(2).37D4φ: C22×D4/C24C2 ⊆ Aut C4168+C4.166(C2^2xD4)128,1800
C4.167(C22×D4) = M4(2).38D4φ: C22×D4/C24C2 ⊆ Aut C4328-C4.167(C2^2xD4)128,1801
C4.168(C22×D4) = C22×C22⋊Q8φ: C22×D4/C24C2 ⊆ Aut C464C4.168(C2^2xD4)128,2165
C4.169(C22×D4) = C2×C22.19C24φ: C22×D4/C24C2 ⊆ Aut C432C4.169(C2^2xD4)128,2167
C4.170(C22×D4) = C2×C22.29C24φ: C22×D4/C24C2 ⊆ Aut C432C4.170(C2^2xD4)128,2178
C4.171(C22×D4) = C2×C23.38C23φ: C22×D4/C24C2 ⊆ Aut C464C4.171(C2^2xD4)128,2179
C4.172(C22×D4) = C2×C22.31C24φ: C22×D4/C24C2 ⊆ Aut C464C4.172(C2^2xD4)128,2180
C4.173(C22×D4) = C22.38C25φ: C22×D4/C24C2 ⊆ Aut C432C4.173(C2^2xD4)128,2181
C4.174(C22×D4) = C2×D8⋊C22φ: C22×D4/C24C2 ⊆ Aut C432C4.174(C2^2xD4)128,2312
C4.175(C22×D4) = C22×C22⋊C8central extension (φ=1)64C4.175(C2^2xD4)128,1608
C4.176(C22×D4) = C2×C24.4C4central extension (φ=1)32C4.176(C2^2xD4)128,1609
C4.177(C22×D4) = C2×(C22×C8)⋊C2central extension (φ=1)64C4.177(C2^2xD4)128,1610
C4.178(C22×D4) = C24.73(C2×C4)central extension (φ=1)32C4.178(C2^2xD4)128,1611
C4.179(C22×D4) = D4○(C22⋊C8)central extension (φ=1)32C4.179(C2^2xD4)128,1612
C4.180(C22×D4) = C22×C4≀C2central extension (φ=1)32C4.180(C2^2xD4)128,1631
C4.181(C22×D4) = C2×C42⋊C22central extension (φ=1)32C4.181(C2^2xD4)128,1632
C4.182(C22×D4) = 2- 1+45C4central extension (φ=1)164C4.182(C2^2xD4)128,1633
C4.183(C22×D4) = C22×C4⋊C8central extension (φ=1)128C4.183(C2^2xD4)128,1634
C4.184(C22×D4) = C2×C4⋊M4(2)central extension (φ=1)64C4.184(C2^2xD4)128,1635
C4.185(C22×D4) = C2×C42.6C22central extension (φ=1)64C4.185(C2^2xD4)128,1636
C4.186(C22×D4) = C42.257C23central extension (φ=1)32C4.186(C2^2xD4)128,1637
C4.187(C22×D4) = C42.674C23central extension (φ=1)64C4.187(C2^2xD4)128,1638
C4.188(C22×D4) = C22×C8.C4central extension (φ=1)64C4.188(C2^2xD4)128,1646
C4.189(C22×D4) = C2×M4(2).C4central extension (φ=1)32C4.189(C2^2xD4)128,1647
C4.190(C22×D4) = M4(2).29C23central extension (φ=1)324C4.190(C2^2xD4)128,1648
C4.191(C22×D4) = D4×C2×C8central extension (φ=1)64C4.191(C2^2xD4)128,1658
C4.192(C22×D4) = C2×C89D4central extension (φ=1)64C4.192(C2^2xD4)128,1659
C4.193(C22×D4) = C2×C86D4central extension (φ=1)64C4.193(C2^2xD4)128,1660
C4.194(C22×D4) = C42.264C23central extension (φ=1)32C4.194(C2^2xD4)128,1661
C4.195(C22×D4) = C42.265C23central extension (φ=1)32C4.195(C2^2xD4)128,1662
C4.196(C22×D4) = C42.681C23central extension (φ=1)64C4.196(C2^2xD4)128,1663
C4.197(C22×D4) = C42.266C23central extension (φ=1)64C4.197(C2^2xD4)128,1664
C4.198(C22×D4) = M4(2)⋊22D4central extension (φ=1)32C4.198(C2^2xD4)128,1665
C4.199(C22×D4) = D4×M4(2)central extension (φ=1)32C4.199(C2^2xD4)128,1666
C4.200(C22×D4) = M4(2)⋊23D4central extension (φ=1)64C4.200(C2^2xD4)128,1667
C4.201(C22×D4) = C2×C8○D8central extension (φ=1)32C4.201(C2^2xD4)128,1685
C4.202(C22×D4) = C2×C8.26D4central extension (φ=1)32C4.202(C2^2xD4)128,1686
C4.203(C22×D4) = C42.283C23central extension (φ=1)324C4.203(C2^2xD4)128,1687
C4.204(C22×D4) = M4(2).51D4central extension (φ=1)164C4.204(C2^2xD4)128,1688
C4.205(C22×D4) = M4(2)○D8central extension (φ=1)324C4.205(C2^2xD4)128,1689
C4.206(C22×D4) = C2×C22.26C24central extension (φ=1)64C4.206(C2^2xD4)128,2174

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