# Extensions 1→N→G→Q→1 with N=C22 and Q=C10.D4

Direct product G=N×Q with N=C22 and Q=C10.D4
dρLabelID
C22×C10.D4320C2^2xC10.D4320,1455

Semidirect products G=N:Q with N=C22 and Q=C10.D4
extensionφ:Q→Aut NdρLabelID
C221(C10.D4) = C24.44D10φ: C10.D4/C2×Dic5C2 ⊆ Aut C22160C2^2:1(C10.D4)320,569
C222(C10.D4) = C24.46D10φ: C10.D4/C2×Dic5C2 ⊆ Aut C22160C2^2:2(C10.D4)320,573
C223(C10.D4) = C24.62D10φ: C10.D4/C2×C20C2 ⊆ Aut C22160C2^2:3(C10.D4)320,837

Non-split extensions G=N.Q with N=C22 and Q=C10.D4
extensionφ:Q→Aut NdρLabelID
C22.1(C10.D4) = C24.D10φ: C10.D4/C2×Dic5C2 ⊆ Aut C2280C2^2.1(C10.D4)320,84
C22.2(C10.D4) = C24.2D10φ: C10.D4/C2×Dic5C2 ⊆ Aut C2280C2^2.2(C10.D4)320,85
C22.3(C10.D4) = C421Dic5φ: C10.D4/C2×Dic5C2 ⊆ Aut C22804C2^2.3(C10.D4)320,89
C22.4(C10.D4) = C20.32C42φ: C10.D4/C2×Dic5C2 ⊆ Aut C2280C2^2.4(C10.D4)320,90
C22.5(C10.D4) = M4(2)⋊Dic5φ: C10.D4/C2×Dic5C2 ⊆ Aut C22160C2^2.5(C10.D4)320,112
C22.6(C10.D4) = (C2×C40)⋊C4φ: C10.D4/C2×Dic5C2 ⊆ Aut C22804C2^2.6(C10.D4)320,114
C22.7(C10.D4) = C20.51C42φ: C10.D4/C2×Dic5C2 ⊆ Aut C22804C2^2.7(C10.D4)320,118
C22.8(C10.D4) = C20.64(C4⋊C4)φ: C10.D4/C2×Dic5C2 ⊆ Aut C22160C2^2.8(C10.D4)320,622
C22.9(C10.D4) = C20.76(C4⋊C4)φ: C10.D4/C2×Dic5C2 ⊆ Aut C22160C2^2.9(C10.D4)320,625
C22.10(C10.D4) = Dic55M4(2)φ: C10.D4/C2×Dic5C2 ⊆ Aut C22160C2^2.10(C10.D4)320,745
C22.11(C10.D4) = C20.51(C4⋊C4)φ: C10.D4/C2×Dic5C2 ⊆ Aut C22160C2^2.11(C10.D4)320,746
C22.12(C10.D4) = C426Dic5φ: C10.D4/C2×C20C2 ⊆ Aut C2280C2^2.12(C10.D4)320,81
C22.13(C10.D4) = C20.40C42φ: C10.D4/C2×C20C2 ⊆ Aut C22160C2^2.13(C10.D4)320,110
C22.14(C10.D4) = M4(2)⋊4Dic5φ: C10.D4/C2×C20C2 ⊆ Aut C22804C2^2.14(C10.D4)320,117
C22.15(C10.D4) = C20.47(C4⋊C4)φ: C10.D4/C2×C20C2 ⊆ Aut C22160C2^2.15(C10.D4)320,591
C22.16(C10.D4) = C20.65(C4⋊C4)φ: C10.D4/C2×C20C2 ⊆ Aut C22160C2^2.16(C10.D4)320,729
C22.17(C10.D4) = C23.Dic10φ: C10.D4/C2×C20C2 ⊆ Aut C22804C2^2.17(C10.D4)320,751
C22.18(C10.D4) = C20.53D8central extension (φ=1)320C2^2.18(C10.D4)320,37
C22.19(C10.D4) = C20.39SD16central extension (φ=1)320C2^2.19(C10.D4)320,38
C22.20(C10.D4) = C20.31C42central extension (φ=1)320C2^2.20(C10.D4)320,87
C22.21(C10.D4) = (C2×C40)⋊15C4central extension (φ=1)320C2^2.21(C10.D4)320,108
C22.22(C10.D4) = C20.34C42central extension (φ=1)160C2^2.22(C10.D4)320,116
C22.23(C10.D4) = C2×C10.D8central extension (φ=1)320C2^2.23(C10.D4)320,589
C22.24(C10.D4) = C2×C20.Q8central extension (φ=1)320C2^2.24(C10.D4)320,590
C22.25(C10.D4) = C2×C20.8Q8central extension (φ=1)320C2^2.25(C10.D4)320,726
C22.26(C10.D4) = C2×C20.53D4central extension (φ=1)160C2^2.26(C10.D4)320,750
C22.27(C10.D4) = C2×C10.10C42central extension (φ=1)320C2^2.27(C10.D4)320,835

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