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

Direct product G=N×Q with N=C22 and Q=C22×C4
dρLabelID
C23×C44352C2^3xC44352,188

Semidirect products G=N:Q with N=C22 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C221(C22×C4) = C22×C4×D11φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22:1(C2^2xC4)352,174
C222(C22×C4) = C23×Dic11φ: C22×C4/C23C2 ⊆ Aut C22352C22:2(C2^2xC4)352,186

Non-split extensions G=N.Q with N=C22 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C22.1(C22×C4) = C4×Dic22φ: C22×C4/C2×C4C2 ⊆ Aut C22352C22.1(C2^2xC4)352,63
C22.2(C22×C4) = C42×D11φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.2(C2^2xC4)352,66
C22.3(C22×C4) = C42⋊D11φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.3(C2^2xC4)352,67
C22.4(C22×C4) = C4×D44φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.4(C2^2xC4)352,68
C22.5(C22×C4) = C23.11D22φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.5(C2^2xC4)352,72
C22.6(C22×C4) = C22⋊C4×D11φ: C22×C4/C2×C4C2 ⊆ Aut C2288C22.6(C2^2xC4)352,75
C22.7(C22×C4) = Dic114D4φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.7(C2^2xC4)352,76
C22.8(C22×C4) = Dic22⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C22352C22.8(C2^2xC4)352,82
C22.9(C22×C4) = C4⋊C4×D11φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.9(C2^2xC4)352,86
C22.10(C22×C4) = C4⋊C47D11φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.10(C2^2xC4)352,87
C22.11(C22×C4) = D44⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.11(C2^2xC4)352,88
C22.12(C22×C4) = C2×C8×D11φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.12(C2^2xC4)352,94
C22.13(C22×C4) = C2×C88⋊C2φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.13(C2^2xC4)352,95
C22.14(C22×C4) = D44.2C4φ: C22×C4/C2×C4C2 ⊆ Aut C221762C22.14(C2^2xC4)352,96
C22.15(C22×C4) = M4(2)×D11φ: C22×C4/C2×C4C2 ⊆ Aut C22884C22.15(C2^2xC4)352,101
C22.16(C22×C4) = D44.C4φ: C22×C4/C2×C4C2 ⊆ Aut C221764C22.16(C2^2xC4)352,102
C22.17(C22×C4) = C2×Dic11⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C22352C22.17(C2^2xC4)352,118
C22.18(C22×C4) = C2×D22⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.18(C2^2xC4)352,122
C22.19(C22×C4) = C4×C11⋊D4φ: C22×C4/C2×C4C2 ⊆ Aut C22176C22.19(C2^2xC4)352,123
C22.20(C22×C4) = C22×C11⋊C8φ: C22×C4/C23C2 ⊆ Aut C22352C22.20(C2^2xC4)352,115
C22.21(C22×C4) = C2×C44.C4φ: C22×C4/C23C2 ⊆ Aut C22176C22.21(C2^2xC4)352,116
C22.22(C22×C4) = C2×C4×Dic11φ: C22×C4/C23C2 ⊆ Aut C22352C22.22(C2^2xC4)352,117
C22.23(C22×C4) = C2×C44⋊C4φ: C22×C4/C23C2 ⊆ Aut C22352C22.23(C2^2xC4)352,120
C22.24(C22×C4) = C23.21D22φ: C22×C4/C23C2 ⊆ Aut C22176C22.24(C2^2xC4)352,121
C22.25(C22×C4) = D4×Dic11φ: C22×C4/C23C2 ⊆ Aut C22176C22.25(C2^2xC4)352,129
C22.26(C22×C4) = Q8×Dic11φ: C22×C4/C23C2 ⊆ Aut C22352C22.26(C2^2xC4)352,140
C22.27(C22×C4) = Q8.Dic11φ: C22×C4/C23C2 ⊆ Aut C221764C22.27(C2^2xC4)352,143
C22.28(C22×C4) = C2×C23.D11φ: C22×C4/C23C2 ⊆ Aut C22176C22.28(C2^2xC4)352,147
C22.29(C22×C4) = C22⋊C4×C22central extension (φ=1)176C22.29(C2^2xC4)352,150
C22.30(C22×C4) = C4⋊C4×C22central extension (φ=1)352C22.30(C2^2xC4)352,151
C22.31(C22×C4) = C11×C42⋊C2central extension (φ=1)176C22.31(C2^2xC4)352,152
C22.32(C22×C4) = D4×C44central extension (φ=1)176C22.32(C2^2xC4)352,153
C22.33(C22×C4) = Q8×C44central extension (φ=1)352C22.33(C2^2xC4)352,154
C22.34(C22×C4) = M4(2)×C22central extension (φ=1)176C22.34(C2^2xC4)352,165
C22.35(C22×C4) = C11×C8○D4central extension (φ=1)1762C22.35(C2^2xC4)352,166

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