# Extensions 1→N→G→Q→1 with N=C22 and Q=C2×Dic10

Direct product G=N×Q with N=C22 and Q=C2×Dic10
dρLabelID
C23×Dic10320C2^3xDic10320,1608

Semidirect products G=N:Q with N=C22 and Q=C2×Dic10
extensionφ:Q→Aut NdρLabelID
C221(C2×Dic10) = D4×Dic10φ: C2×Dic10/Dic10C2 ⊆ Aut C22160C2^2:1(C2xDic10)320,1209
C222(C2×Dic10) = C2×Dic5.14D4φ: C2×Dic10/C2×Dic5C2 ⊆ Aut C22160C2^2:2(C2xDic10)320,1153
C223(C2×Dic10) = C2×C20.48D4φ: C2×Dic10/C2×C20C2 ⊆ Aut C22160C2^2:3(C2xDic10)320,1456

Non-split extensions G=N.Q with N=C22 and Q=C2×Dic10
extensionφ:Q→Aut NdρLabelID
C22.1(C2×Dic10) = D45Dic10φ: C2×Dic10/Dic10C2 ⊆ Aut C22160C2^2.1(C2xDic10)320,1211
C22.2(C2×Dic10) = D46Dic10φ: C2×Dic10/Dic10C2 ⊆ Aut C22160C2^2.2(C2xDic10)320,1215
C22.3(C2×Dic10) = C2×C20.53D4φ: C2×Dic10/C2×Dic5C2 ⊆ Aut C22160C2^2.3(C2xDic10)320,750
C22.4(C2×Dic10) = C23.Dic10φ: C2×Dic10/C2×Dic5C2 ⊆ Aut C22804C2^2.4(C2xDic10)320,751
C22.5(C2×Dic10) = C232Dic10φ: C2×Dic10/C2×Dic5C2 ⊆ Aut C2280C2^2.5(C2xDic10)320,1155
C22.6(C2×Dic10) = C42.88D10φ: C2×Dic10/C2×Dic5C2 ⊆ Aut C22160C2^2.6(C2xDic10)320,1189
C22.7(C2×Dic10) = C42.90D10φ: C2×Dic10/C2×Dic5C2 ⊆ Aut C22160C2^2.7(C2xDic10)320,1191
C22.8(C2×Dic10) = C2×C40.6C4φ: C2×Dic10/C2×C20C2 ⊆ Aut C22160C2^2.8(C2xDic10)320,734
C22.9(C2×Dic10) = M4(2).Dic5φ: C2×Dic10/C2×C20C2 ⊆ Aut C22804C2^2.9(C2xDic10)320,752
C22.10(C2×Dic10) = C42.274D10φ: C2×Dic10/C2×C20C2 ⊆ Aut C22160C2^2.10(C2xDic10)320,1142
C22.11(C2×Dic10) = C10.12- 1+4φ: C2×Dic10/C2×C20C2 ⊆ Aut C22160C2^2.11(C2xDic10)320,1172
C22.12(C2×Dic10) = (C2×C20)⋊Q8central extension (φ=1)320C2^2.12(C2xDic10)320,273
C22.13(C2×Dic10) = C10.49(C4×D4)central extension (φ=1)320C2^2.13(C2xDic10)320,274
C22.14(C2×Dic10) = C4⋊Dic515C4central extension (φ=1)320C2^2.14(C2xDic10)320,281
C22.15(C2×Dic10) = C10.52(C4×D4)central extension (φ=1)320C2^2.15(C2xDic10)320,282
C22.16(C2×Dic10) = C207(C4⋊C4)central extension (φ=1)320C2^2.16(C2xDic10)320,555
C22.17(C2×Dic10) = (C2×C20)⋊10Q8central extension (φ=1)320C2^2.17(C2xDic10)320,556
C22.18(C2×Dic10) = C4×C10.D4central extension (φ=1)320C2^2.18(C2xDic10)320,558
C22.19(C2×Dic10) = C10.92(C4×D4)central extension (φ=1)320C2^2.19(C2xDic10)320,560
C22.20(C2×Dic10) = C4×C4⋊Dic5central extension (φ=1)320C2^2.20(C2xDic10)320,561
C22.21(C2×Dic10) = C428Dic5central extension (φ=1)320C2^2.21(C2xDic10)320,562
C22.22(C2×Dic10) = C429Dic5central extension (φ=1)320C2^2.22(C2xDic10)320,563
C22.23(C2×Dic10) = C24.44D10central extension (φ=1)160C2^2.23(C2xDic10)320,569
C22.24(C2×Dic10) = C24.46D10central extension (φ=1)160C2^2.24(C2xDic10)320,573
C22.25(C2×Dic10) = C24.47D10central extension (φ=1)160C2^2.25(C2xDic10)320,577
C22.26(C2×Dic10) = C204(C4⋊C4)central extension (φ=1)320C2^2.26(C2xDic10)320,600
C22.27(C2×Dic10) = C205(C4⋊C4)central extension (φ=1)320C2^2.27(C2xDic10)320,603
C22.28(C2×Dic10) = C20.48(C4⋊C4)central extension (φ=1)320C2^2.28(C2xDic10)320,604
C22.29(C2×Dic10) = C206(C4⋊C4)central extension (φ=1)320C2^2.29(C2xDic10)320,612
C22.30(C2×Dic10) = C2×C10.10C42central extension (φ=1)320C2^2.30(C2xDic10)320,835
C22.31(C2×Dic10) = C24.62D10central extension (φ=1)160C2^2.31(C2xDic10)320,837
C22.32(C2×Dic10) = C24.64D10central extension (φ=1)160C2^2.32(C2xDic10)320,839
C22.33(C2×Dic10) = C2×C4×Dic10central extension (φ=1)320C2^2.33(C2xDic10)320,1139
C22.34(C2×Dic10) = C2×C202Q8central extension (φ=1)320C2^2.34(C2xDic10)320,1140
C22.35(C2×Dic10) = C2×C20.6Q8central extension (φ=1)320C2^2.35(C2xDic10)320,1141
C22.36(C2×Dic10) = C2×C20⋊Q8central extension (φ=1)320C2^2.36(C2xDic10)320,1169
C22.37(C2×Dic10) = C2×C4.Dic10central extension (φ=1)320C2^2.37(C2xDic10)320,1171
C22.38(C2×Dic10) = C22×C10.D4central extension (φ=1)320C2^2.38(C2xDic10)320,1455
C22.39(C2×Dic10) = C22×C4⋊Dic5central extension (φ=1)320C2^2.39(C2xDic10)320,1457
C22.40(C2×Dic10) = (C2×Dic5)⋊Q8central stem extension (φ=1)320C2^2.40(C2xDic10)320,283
C22.41(C2×Dic10) = C2.(C20⋊Q8)central stem extension (φ=1)320C2^2.41(C2xDic10)320,284
C22.42(C2×Dic10) = (C2×C4).Dic10central stem extension (φ=1)320C2^2.42(C2xDic10)320,287
C22.43(C2×Dic10) = C10.(C4⋊Q8)central stem extension (φ=1)320C2^2.43(C2xDic10)320,288
C22.44(C2×Dic10) = C23⋊Dic10central stem extension (φ=1)160C2^2.44(C2xDic10)320,574
C22.45(C2×Dic10) = C24.6D10central stem extension (φ=1)160C2^2.45(C2xDic10)320,575
C22.46(C2×Dic10) = C24.7D10central stem extension (φ=1)160C2^2.46(C2xDic10)320,576
C22.47(C2×Dic10) = (C2×C4)⋊Dic10central stem extension (φ=1)320C2^2.47(C2xDic10)320,606
C22.48(C2×Dic10) = (C2×C20).54D4central stem extension (φ=1)320C2^2.48(C2xDic10)320,611
C22.49(C2×Dic10) = (C2×C20).55D4central stem extension (φ=1)320C2^2.49(C2xDic10)320,613

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