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

Direct product G=N×Q with N=C22 and Q=C22.D4
dρLabelID
C22×C22.D464C2^2xC2^2.D4128,2166

Semidirect products G=N:Q with N=C22 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C221(C22.D4) = C24.95D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2232C2^2:1(C2^2.D4)128,1144
C222(C22.D4) = C23.318C24φ: C22.D4/C22⋊C4C2 ⊆ Aut C2232C2^2:2(C2^2.D4)128,1150
C223(C22.D4) = C24.269C23φ: C22.D4/C4⋊C4C2 ⊆ Aut C2264C2^2:3(C2^2.D4)128,1175
C224(C22.D4) = C24.166D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2:4(C2^2.D4)128,1581
C225(C22.D4) = C24.94D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2:5(C2^2.D4)128,1137

Non-split extensions G=N.Q with N=C22 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C22.1(C22.D4) = (C2×C42)⋊C4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22164C2^2.1(C2^2.D4)128,559
C22.2(C22.D4) = C24.C23φ: C22.D4/C22⋊C4C2 ⊆ Aut C22168+C2^2.2(C2^2.D4)128,560
C22.3(C22.D4) = M4(2).41D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22164C2^2.3(C2^2.D4)128,593
C22.4(C22.D4) = M4(2).42D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2232C2^2.4(C2^2.D4)128,598
C22.5(C22.D4) = M4(2).46D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22328-C2^2.5(C2^2.D4)128,634
C22.6(C22.D4) = M4(2).47D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22168+C2^2.6(C2^2.D4)128,635
C22.7(C22.D4) = M4(2).48D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2232C2^2.7(C2^2.D4)128,639
C22.8(C22.D4) = M4(2).49D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2264C2^2.8(C2^2.D4)128,640
C22.9(C22.D4) = C42⋊D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22168+C2^2.9(C2^2.D4)128,643
C22.10(C22.D4) = C42.7D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22328-C2^2.10(C2^2.D4)128,644
C22.11(C22.D4) = C24.28D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22168+C2^2.11(C2^2.D4)128,645
C22.12(C22.D4) = C42.131D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C22164C2^2.12(C2^2.D4)128,782
C22.13(C22.D4) = M4(2).10D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2232C2^2.13(C2^2.D4)128,783
C22.14(C22.D4) = M4(2).11D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2264C2^2.14(C2^2.D4)128,784
C22.15(C22.D4) = C24.563C23φ: C22.D4/C22⋊C4C2 ⊆ Aut C2264C2^2.15(C2^2.D4)128,1151
C22.16(C22.D4) = C23.398C24φ: C22.D4/C22⋊C4C2 ⊆ Aut C2264C2^2.16(C2^2.D4)128,1230
C22.17(C22.D4) = C24.115D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2232C2^2.17(C2^2.D4)128,1823
C22.18(C22.D4) = (C2×D4).301D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2232C2^2.18(C2^2.D4)128,1828
C22.19(C22.D4) = (C2×D4).302D4φ: C22.D4/C22⋊C4C2 ⊆ Aut C2264C2^2.19(C2^2.D4)128,1829
C22.20(C22.D4) = M4(2).43D4φ: C22.D4/C4⋊C4C2 ⊆ Aut C2232C2^2.20(C2^2.D4)128,608
C22.21(C22.D4) = M4(2).44D4φ: C22.D4/C4⋊C4C2 ⊆ Aut C22324C2^2.21(C2^2.D4)128,613
C22.22(C22.D4) = C23.344C24φ: C22.D4/C4⋊C4C2 ⊆ Aut C2264C2^2.22(C2^2.D4)128,1176
C22.23(C22.D4) = (C2×D4).303D4φ: C22.D4/C4⋊C4C2 ⊆ Aut C2264C2^2.23(C2^2.D4)128,1830
C22.24(C22.D4) = (C2×D4).304D4φ: C22.D4/C4⋊C4C2 ⊆ Aut C2264C2^2.24(C2^2.D4)128,1831
C22.25(C22.D4) = (C2×C4)≀C2φ: C22.D4/C22×C4C2 ⊆ Aut C2216C2^2.25(C2^2.D4)128,628
C22.26(C22.D4) = C427D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.26(C2^2.D4)128,629
C22.27(C22.D4) = C24.78D4φ: C22.D4/C22×C4C2 ⊆ Aut C2216C2^2.27(C2^2.D4)128,630
C22.28(C22.D4) = C24.174C23φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.28(C2^2.D4)128,631
C22.29(C22.D4) = C42.427D4φ: C22.D4/C22×C4C2 ⊆ Aut C22164C2^2.29(C2^2.D4)128,664
C22.30(C22.D4) = C42.428D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.30(C2^2.D4)128,669
C22.31(C22.D4) = C42.107D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.31(C2^2.D4)128,670
C22.32(C22.D4) = M4(2)⋊6D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.32(C2^2.D4)128,769
C22.33(C22.D4) = M4(2).7D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.33(C2^2.D4)128,770
C22.34(C22.D4) = C24.33D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.34(C2^2.D4)128,776
C22.35(C22.D4) = C42.9D4φ: C22.D4/C22×C4C2 ⊆ Aut C22324C2^2.35(C2^2.D4)128,812
C22.36(C22.D4) = C42.10D4φ: C22.D4/C22×C4C2 ⊆ Aut C22324C2^2.36(C2^2.D4)128,830
C22.37(C22.D4) = C24.97D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.37(C2^2.D4)128,1354
C22.38(C22.D4) = C24.589C23φ: C22.D4/C22×C4C2 ⊆ Aut C2264C2^2.38(C2^2.D4)128,1355
C22.39(C22.D4) = C23.753C24φ: C22.D4/C22×C4C2 ⊆ Aut C2264C2^2.39(C2^2.D4)128,1585
C22.40(C22.D4) = C24.183D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.40(C2^2.D4)128,1824
C22.41(C22.D4) = C24.116D4φ: C22.D4/C22×C4C2 ⊆ Aut C2232C2^2.41(C2^2.D4)128,1825
C22.42(C22.D4) = C24.68D4φ: C22.D4/C2×D4C2 ⊆ Aut C2216C2^2.42(C2^2.D4)128,551
C22.43(C22.D4) = C24.169C23φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.43(C2^2.D4)128,552
C22.44(C22.D4) = C24.70D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.44(C2^2.D4)128,558
C22.45(C22.D4) = C24.21D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.45(C2^2.D4)128,588
C22.46(C22.D4) = C4.10D42C4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.46(C2^2.D4)128,589
C22.47(C22.D4) = C24.22D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.47(C2^2.D4)128,599
C22.48(C22.D4) = C24.23D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.48(C2^2.D4)128,617
C22.49(C22.D4) = C4⋊Q815C4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.49(C2^2.D4)128,618
C22.50(C22.D4) = C24.24D4φ: C22.D4/C2×D4C2 ⊆ Aut C2216C2^2.50(C2^2.D4)128,619
C22.51(C22.D4) = C4.4D413C4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.51(C2^2.D4)128,620
C22.52(C22.D4) = C25.C22φ: C22.D4/C2×D4C2 ⊆ Aut C2216C2^2.52(C2^2.D4)128,621
C22.53(C22.D4) = C24.26D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.53(C2^2.D4)128,622
C22.54(C22.D4) = C4⋊C4.96D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.54(C2^2.D4)128,777
C22.55(C22.D4) = C4⋊C4.97D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.55(C2^2.D4)128,778
C22.56(C22.D4) = C4⋊C4.98D4φ: C22.D4/C2×D4C2 ⊆ Aut C2264C2^2.56(C2^2.D4)128,779
C22.57(C22.D4) = M4(2).8D4φ: C22.D4/C2×D4C2 ⊆ Aut C22168+C2^2.57(C2^2.D4)128,780
C22.58(C22.D4) = M4(2).9D4φ: C22.D4/C2×D4C2 ⊆ Aut C22328-C2^2.58(C2^2.D4)128,781
C22.59(C22.D4) = (C2×C8).D4φ: C22.D4/C2×D4C2 ⊆ Aut C22168+C2^2.59(C2^2.D4)128,813
C22.60(C22.D4) = (C2×C8).6D4φ: C22.D4/C2×D4C2 ⊆ Aut C22328-C2^2.60(C2^2.D4)128,814
C22.61(C22.D4) = C23.382C24φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.61(C2^2.D4)128,1214
C22.62(C22.D4) = C24.96D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.62(C2^2.D4)128,1215
C22.63(C22.D4) = C24.576C23φ: C22.D4/C2×D4C2 ⊆ Aut C2264C2^2.63(C2^2.D4)128,1216
C22.64(C22.D4) = C24.117D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.64(C2^2.D4)128,1826
C22.65(C22.D4) = C24.118D4φ: C22.D4/C2×D4C2 ⊆ Aut C2232C2^2.65(C2^2.D4)128,1827
C22.66(C22.D4) = C24.17Q8central extension (φ=1)64C2^2.66(C2^2.D4)128,165
C22.67(C22.D4) = C24.624C23central extension (φ=1)128C2^2.67(C2^2.D4)128,166
C22.68(C22.D4) = C24.626C23central extension (φ=1)128C2^2.68(C2^2.D4)128,168
C22.69(C22.D4) = C232C42central extension (φ=1)64C2^2.69(C2^2.D4)128,169
C22.70(C22.D4) = C24.50D4central extension (φ=1)64C2^2.70(C2^2.D4)128,170
C22.71(C22.D4) = C24.5Q8central extension (φ=1)64C2^2.71(C2^2.D4)128,171
C22.72(C22.D4) = C24.52D4central extension (φ=1)64C2^2.72(C2^2.D4)128,172
C22.73(C22.D4) = C24.631C23central extension (φ=1)128C2^2.73(C2^2.D4)128,173
C22.74(C22.D4) = C24.632C23central extension (φ=1)128C2^2.74(C2^2.D4)128,174
C22.75(C22.D4) = C24.633C23central extension (φ=1)128C2^2.75(C2^2.D4)128,175
C22.76(C22.D4) = C24.634C23central extension (φ=1)128C2^2.76(C2^2.D4)128,176
C22.77(C22.D4) = C24.635C23central extension (φ=1)128C2^2.77(C2^2.D4)128,177
C22.78(C22.D4) = C23.36D8central extension (φ=1)64C2^2.78(C2^2.D4)128,555
C22.79(C22.D4) = C24.157D4central extension (φ=1)64C2^2.79(C2^2.D4)128,556
C22.80(C22.D4) = C24.69D4central extension (φ=1)64C2^2.80(C2^2.D4)128,557
C22.81(C22.D4) = C23.37D8central extension (φ=1)64C2^2.81(C2^2.D4)128,584
C22.82(C22.D4) = C24.159D4central extension (φ=1)64C2^2.82(C2^2.D4)128,585
C22.83(C22.D4) = C24.71D4central extension (φ=1)64C2^2.83(C2^2.D4)128,586
C22.84(C22.D4) = C24.160D4central extension (φ=1)64C2^2.84(C2^2.D4)128,604
C22.85(C22.D4) = C24.73D4central extension (φ=1)64C2^2.85(C2^2.D4)128,605
C22.86(C22.D4) = C23.38D8central extension (φ=1)64C2^2.86(C2^2.D4)128,606
C22.87(C22.D4) = C24.74D4central extension (φ=1)64C2^2.87(C2^2.D4)128,607
C22.88(C22.D4) = C2.D84C4central extension (φ=1)128C2^2.88(C2^2.D4)128,650
C22.89(C22.D4) = C4.Q89C4central extension (φ=1)128C2^2.89(C2^2.D4)128,651
C22.90(C22.D4) = C4.Q810C4central extension (φ=1)128C2^2.90(C2^2.D4)128,652
C22.91(C22.D4) = C2.D85C4central extension (φ=1)128C2^2.91(C2^2.D4)128,653
C22.92(C22.D4) = D4⋊C4⋊C4central extension (φ=1)64C2^2.92(C2^2.D4)128,657
C22.93(C22.D4) = C4.67(C4×D4)central extension (φ=1)64C2^2.93(C2^2.D4)128,658
C22.94(C22.D4) = C4.68(C4×D4)central extension (φ=1)128C2^2.94(C2^2.D4)128,659
C22.95(C22.D4) = C2.(C4×Q16)central extension (φ=1)128C2^2.95(C2^2.D4)128,660
C22.96(C22.D4) = C2×C23.34D4central extension (φ=1)64C2^2.96(C2^2.D4)128,1011
C22.97(C22.D4) = C2×C23.8Q8central extension (φ=1)64C2^2.97(C2^2.D4)128,1018
C22.98(C22.D4) = C2×C23.23D4central extension (φ=1)64C2^2.98(C2^2.D4)128,1019
C22.99(C22.D4) = C2×C23.63C23central extension (φ=1)128C2^2.99(C2^2.D4)128,1020
C22.100(C22.D4) = C2×C24.C22central extension (φ=1)64C2^2.100(C2^2.D4)128,1021
C22.101(C22.D4) = C2×C23.10D4central extension (φ=1)64C2^2.101(C2^2.D4)128,1118
C22.102(C22.D4) = C2×C23.11D4central extension (φ=1)64C2^2.102(C2^2.D4)128,1122
C22.103(C22.D4) = C2×C23.81C23central extension (φ=1)128C2^2.103(C2^2.D4)128,1123
C22.104(C22.D4) = C2×C23.4Q8central extension (φ=1)64C2^2.104(C2^2.D4)128,1125
C22.105(C22.D4) = C2×C23.83C23central extension (φ=1)128C2^2.105(C2^2.D4)128,1126
C22.106(C22.D4) = C2×C22.D8central extension (φ=1)64C2^2.106(C2^2.D4)128,1817
C22.107(C22.D4) = C2×C23.47D4central extension (φ=1)64C2^2.107(C2^2.D4)128,1818
C22.108(C22.D4) = C2×C23.19D4central extension (φ=1)64C2^2.108(C2^2.D4)128,1819
C22.109(C22.D4) = C2×C23.20D4central extension (φ=1)64C2^2.109(C2^2.D4)128,1820
C22.110(C22.D4) = C2×C23.46D4central extension (φ=1)64C2^2.110(C2^2.D4)128,1821
C22.111(C22.D4) = C2×C23.48D4central extension (φ=1)64C2^2.111(C2^2.D4)128,1822
C22.112(C22.D4) = C24.83D4central stem extension (φ=1)64C2^2.112(C2^2.D4)128,765
C22.113(C22.D4) = C24.84D4central stem extension (φ=1)64C2^2.113(C2^2.D4)128,766
C22.114(C22.D4) = C24.85D4central stem extension (φ=1)64C2^2.114(C2^2.D4)128,767
C22.115(C22.D4) = C24.86D4central stem extension (φ=1)64C2^2.115(C2^2.D4)128,768
C22.116(C22.D4) = (C2×C4).24D8central stem extension (φ=1)64C2^2.116(C2^2.D4)128,803
C22.117(C22.D4) = (C2×C4).19Q16central stem extension (φ=1)128C2^2.117(C2^2.D4)128,804
C22.118(C22.D4) = C428C4⋊C2central stem extension (φ=1)64C2^2.118(C2^2.D4)128,805
C22.119(C22.D4) = (C2×Q8).109D4central stem extension (φ=1)128C2^2.119(C2^2.D4)128,806
C22.120(C22.D4) = C23.12D8central stem extension (φ=1)64C2^2.120(C2^2.D4)128,807
C22.121(C22.D4) = C24.88D4central stem extension (φ=1)64C2^2.121(C2^2.D4)128,808
C22.122(C22.D4) = C24.89D4central stem extension (φ=1)64C2^2.122(C2^2.D4)128,809
C22.123(C22.D4) = (C2×C8).1Q8central stem extension (φ=1)128C2^2.123(C2^2.D4)128,815
C22.124(C22.D4) = C2.(C83Q8)central stem extension (φ=1)128C2^2.124(C2^2.D4)128,816
C22.125(C22.D4) = (C2×C8).24Q8central stem extension (φ=1)128C2^2.125(C2^2.D4)128,817
C22.126(C22.D4) = (C2×C8).168D4central stem extension (φ=1)64C2^2.126(C2^2.D4)128,824
C22.127(C22.D4) = (C2×C4).27D8central stem extension (φ=1)64C2^2.127(C2^2.D4)128,825
C22.128(C22.D4) = (C2×C8).169D4central stem extension (φ=1)64C2^2.128(C2^2.D4)128,826
C22.129(C22.D4) = (C2×C8).60D4central stem extension (φ=1)128C2^2.129(C2^2.D4)128,827
C22.130(C22.D4) = (C2×C8).170D4central stem extension (φ=1)128C2^2.130(C2^2.D4)128,828
C22.131(C22.D4) = (C2×C8).171D4central stem extension (φ=1)128C2^2.131(C2^2.D4)128,829
C22.132(C22.D4) = (C2×C4).28D8central stem extension (φ=1)128C2^2.132(C2^2.D4)128,831
C22.133(C22.D4) = (C2×C4).23Q16central stem extension (φ=1)128C2^2.133(C2^2.D4)128,832
C22.134(C22.D4) = C4⋊C4.Q8central stem extension (φ=1)128C2^2.134(C2^2.D4)128,833

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