Extensions 1→N→G→Q→1 with N=C22 and Q=C22×D11

Direct product G=N×Q with N=C22 and Q=C22×D11
dρLabelID
C24×D11176C2^4xD11352,194

Semidirect products G=N:Q with N=C22 and Q=C22×D11
extensionφ:Q→Aut NdρLabelID
C221(C22×D11) = C2×D4×D11φ: C22×D11/D22C2 ⊆ Aut C2288C2^2:1(C2^2xD11)352,177
C222(C22×D11) = C22×C11⋊D4φ: C22×D11/C2×C22C2 ⊆ Aut C22176C2^2:2(C2^2xD11)352,187

Non-split extensions G=N.Q with N=C22 and Q=C22×D11
extensionφ:Q→Aut NdρLabelID
C22.1(C22×D11) = C2×D42D11φ: C22×D11/D22C2 ⊆ Aut C22176C2^2.1(C2^2xD11)352,178
C22.2(C22×D11) = C4○D4×D11φ: C22×D11/D22C2 ⊆ Aut C22884C2^2.2(C2^2xD11)352,183
C22.3(C22×D11) = D48D22φ: C22×D11/D22C2 ⊆ Aut C22884+C2^2.3(C2^2xD11)352,184
C22.4(C22×D11) = D4.10D22φ: C22×D11/D22C2 ⊆ Aut C221764-C2^2.4(C2^2xD11)352,185
C22.5(C22×D11) = C2×D445C2φ: C22×D11/C2×C22C2 ⊆ Aut C22176C2^2.5(C2^2xD11)352,176
C22.6(C22×D11) = D46D22φ: C22×D11/C2×C22C2 ⊆ Aut C22884C2^2.6(C2^2xD11)352,179
C22.7(C22×D11) = Q8.10D22φ: C22×D11/C2×C22C2 ⊆ Aut C221764C2^2.7(C2^2xD11)352,182
C22.8(C22×D11) = C4×Dic22central extension (φ=1)352C2^2.8(C2^2xD11)352,63
C22.9(C22×D11) = C42×D11central extension (φ=1)176C2^2.9(C2^2xD11)352,66
C22.10(C22×D11) = C42⋊D11central extension (φ=1)176C2^2.10(C2^2xD11)352,67
C22.11(C22×D11) = C4×D44central extension (φ=1)176C2^2.11(C2^2xD11)352,68
C22.12(C22×D11) = C23.11D22central extension (φ=1)176C2^2.12(C2^2xD11)352,72
C22.13(C22×D11) = C22⋊C4×D11central extension (φ=1)88C2^2.13(C2^2xD11)352,75
C22.14(C22×D11) = Dic114D4central extension (φ=1)176C2^2.14(C2^2xD11)352,76
C22.15(C22×D11) = Dic22⋊C4central extension (φ=1)352C2^2.15(C2^2xD11)352,82
C22.16(C22×D11) = C4⋊C4×D11central extension (φ=1)176C2^2.16(C2^2xD11)352,86
C22.17(C22×D11) = C4⋊C47D11central extension (φ=1)176C2^2.17(C2^2xD11)352,87
C22.18(C22×D11) = D44⋊C4central extension (φ=1)176C2^2.18(C2^2xD11)352,88
C22.19(C22×D11) = C2×C4×Dic11central extension (φ=1)352C2^2.19(C2^2xD11)352,117
C22.20(C22×D11) = C2×Dic11⋊C4central extension (φ=1)352C2^2.20(C2^2xD11)352,118
C22.21(C22×D11) = C2×C44⋊C4central extension (φ=1)352C2^2.21(C2^2xD11)352,120
C22.22(C22×D11) = C23.21D22central extension (φ=1)176C2^2.22(C2^2xD11)352,121
C22.23(C22×D11) = C2×D22⋊C4central extension (φ=1)176C2^2.23(C2^2xD11)352,122
C22.24(C22×D11) = C4×C11⋊D4central extension (φ=1)176C2^2.24(C2^2xD11)352,123
C22.25(C22×D11) = D4×Dic11central extension (φ=1)176C2^2.25(C2^2xD11)352,129
C22.26(C22×D11) = Q8×Dic11central extension (φ=1)352C2^2.26(C2^2xD11)352,140
C22.27(C22×D11) = C2×C23.D11central extension (φ=1)176C2^2.27(C2^2xD11)352,147
C22.28(C22×D11) = C22×Dic22central extension (φ=1)352C2^2.28(C2^2xD11)352,173
C22.29(C22×D11) = C22×C4×D11central extension (φ=1)176C2^2.29(C2^2xD11)352,174
C22.30(C22×D11) = C22×D44central extension (φ=1)176C2^2.30(C2^2xD11)352,175
C22.31(C22×D11) = C2×Q8×D11central extension (φ=1)176C2^2.31(C2^2xD11)352,180
C22.32(C22×D11) = C2×D44⋊C2central extension (φ=1)176C2^2.32(C2^2xD11)352,181
C22.33(C22×D11) = C23×Dic11central extension (φ=1)352C2^2.33(C2^2xD11)352,186
C22.34(C22×D11) = C442Q8central stem extension (φ=1)352C2^2.34(C2^2xD11)352,64
C22.35(C22×D11) = C44.6Q8central stem extension (φ=1)352C2^2.35(C2^2xD11)352,65
C22.36(C22×D11) = C4⋊D44central stem extension (φ=1)176C2^2.36(C2^2xD11)352,69
C22.37(C22×D11) = C4.D44central stem extension (φ=1)176C2^2.37(C2^2xD11)352,70
C22.38(C22×D11) = C422D11central stem extension (φ=1)176C2^2.38(C2^2xD11)352,71
C22.39(C22×D11) = C22⋊Dic22central stem extension (φ=1)176C2^2.39(C2^2xD11)352,73
C22.40(C22×D11) = C23.D22central stem extension (φ=1)176C2^2.40(C2^2xD11)352,74
C22.41(C22×D11) = C22⋊D44central stem extension (φ=1)88C2^2.41(C2^2xD11)352,77
C22.42(C22×D11) = D22.D4central stem extension (φ=1)176C2^2.42(C2^2xD11)352,78
C22.43(C22×D11) = D22⋊D4central stem extension (φ=1)176C2^2.43(C2^2xD11)352,79
C22.44(C22×D11) = Dic11.D4central stem extension (φ=1)176C2^2.44(C2^2xD11)352,80
C22.45(C22×D11) = C22.D44central stem extension (φ=1)176C2^2.45(C2^2xD11)352,81
C22.46(C22×D11) = C44⋊Q8central stem extension (φ=1)352C2^2.46(C2^2xD11)352,83
C22.47(C22×D11) = Dic11.Q8central stem extension (φ=1)352C2^2.47(C2^2xD11)352,84
C22.48(C22×D11) = C44.3Q8central stem extension (φ=1)352C2^2.48(C2^2xD11)352,85
C22.49(C22×D11) = D22.5D4central stem extension (φ=1)176C2^2.49(C2^2xD11)352,89
C22.50(C22×D11) = C42D44central stem extension (φ=1)176C2^2.50(C2^2xD11)352,90
C22.51(C22×D11) = D22⋊Q8central stem extension (φ=1)176C2^2.51(C2^2xD11)352,91
C22.52(C22×D11) = D222Q8central stem extension (φ=1)176C2^2.52(C2^2xD11)352,92
C22.53(C22×D11) = C4⋊C4⋊D11central stem extension (φ=1)176C2^2.53(C2^2xD11)352,93
C22.54(C22×D11) = C44.48D4central stem extension (φ=1)176C2^2.54(C2^2xD11)352,119
C22.55(C22×D11) = C23.23D22central stem extension (φ=1)176C2^2.55(C2^2xD11)352,124
C22.56(C22×D11) = C447D4central stem extension (φ=1)176C2^2.56(C2^2xD11)352,125
C22.57(C22×D11) = C23.18D22central stem extension (φ=1)176C2^2.57(C2^2xD11)352,130
C22.58(C22×D11) = C44.17D4central stem extension (φ=1)176C2^2.58(C2^2xD11)352,131
C22.59(C22×D11) = C23⋊D22central stem extension (φ=1)88C2^2.59(C2^2xD11)352,132
C22.60(C22×D11) = C442D4central stem extension (φ=1)176C2^2.60(C2^2xD11)352,133
C22.61(C22×D11) = Dic11⋊D4central stem extension (φ=1)176C2^2.61(C2^2xD11)352,134
C22.62(C22×D11) = C44⋊D4central stem extension (φ=1)176C2^2.62(C2^2xD11)352,135
C22.63(C22×D11) = Dic11⋊Q8central stem extension (φ=1)352C2^2.63(C2^2xD11)352,139
C22.64(C22×D11) = D223Q8central stem extension (φ=1)176C2^2.64(C2^2xD11)352,141
C22.65(C22×D11) = C44.23D4central stem extension (φ=1)176C2^2.65(C2^2xD11)352,142
C22.66(C22×D11) = C24⋊D11central stem extension (φ=1)88C2^2.66(C2^2xD11)352,148

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