# Extensions 1→N→G→Q→1 with N=C22 and Q=C22×D9

Direct product G=N×Q with N=C22 and Q=C22×D9
dρLabelID
C24×D9144C2^4xD9288,839

Semidirect products G=N:Q with N=C22 and Q=C22×D9
extensionφ:Q→Aut NdρLabelID
C22⋊(C22×D9) = C22×C3.S4φ: C22×D9/C2×C6S3 ⊆ Aut C2236C2^2:(C2^2xD9)288,835
C222(C22×D9) = C2×D4×D9φ: C22×D9/D18C2 ⊆ Aut C2272C2^2:2(C2^2xD9)288,356
C223(C22×D9) = C22×C9⋊D4φ: C22×D9/C2×C18C2 ⊆ Aut C22144C2^2:3(C2^2xD9)288,366

Non-split extensions G=N.Q with N=C22 and Q=C22×D9
extensionφ:Q→Aut NdρLabelID
C22.1(C22×D9) = C2×D42D9φ: C22×D9/D18C2 ⊆ Aut C22144C2^2.1(C2^2xD9)288,357
C22.2(C22×D9) = C4○D4×D9φ: C22×D9/D18C2 ⊆ Aut C22724C2^2.2(C2^2xD9)288,362
C22.3(C22×D9) = D48D18φ: C22×D9/D18C2 ⊆ Aut C22724+C2^2.3(C2^2xD9)288,363
C22.4(C22×D9) = D4.10D18φ: C22×D9/D18C2 ⊆ Aut C221444-C2^2.4(C2^2xD9)288,364
C22.5(C22×D9) = C2×D365C2φ: C22×D9/C2×C18C2 ⊆ Aut C22144C2^2.5(C2^2xD9)288,355
C22.6(C22×D9) = D46D18φ: C22×D9/C2×C18C2 ⊆ Aut C22724C2^2.6(C2^2xD9)288,358
C22.7(C22×D9) = Q8.15D18φ: C22×D9/C2×C18C2 ⊆ Aut C221444C2^2.7(C2^2xD9)288,361
C22.8(C22×D9) = C4×Dic18central extension (φ=1)288C2^2.8(C2^2xD9)288,78
C22.9(C22×D9) = C42×D9central extension (φ=1)144C2^2.9(C2^2xD9)288,81
C22.10(C22×D9) = C422D9central extension (φ=1)144C2^2.10(C2^2xD9)288,82
C22.11(C22×D9) = C4×D36central extension (φ=1)144C2^2.11(C2^2xD9)288,83
C22.12(C22×D9) = C23.16D18central extension (φ=1)144C2^2.12(C2^2xD9)288,87
C22.13(C22×D9) = C22⋊C4×D9central extension (φ=1)72C2^2.13(C2^2xD9)288,90
C22.14(C22×D9) = Dic94D4central extension (φ=1)144C2^2.14(C2^2xD9)288,91
C22.15(C22×D9) = Dic93Q8central extension (φ=1)288C2^2.15(C2^2xD9)288,97
C22.16(C22×D9) = C4⋊C4×D9central extension (φ=1)144C2^2.16(C2^2xD9)288,101
C22.17(C22×D9) = C4⋊C47D9central extension (φ=1)144C2^2.17(C2^2xD9)288,102
C22.18(C22×D9) = D36⋊C4central extension (φ=1)144C2^2.18(C2^2xD9)288,103
C22.19(C22×D9) = C2×C4×Dic9central extension (φ=1)288C2^2.19(C2^2xD9)288,132
C22.20(C22×D9) = C2×Dic9⋊C4central extension (φ=1)288C2^2.20(C2^2xD9)288,133
C22.21(C22×D9) = C2×C4⋊Dic9central extension (φ=1)288C2^2.21(C2^2xD9)288,135
C22.22(C22×D9) = C23.26D18central extension (φ=1)144C2^2.22(C2^2xD9)288,136
C22.23(C22×D9) = C2×D18⋊C4central extension (φ=1)144C2^2.23(C2^2xD9)288,137
C22.24(C22×D9) = C4×C9⋊D4central extension (φ=1)144C2^2.24(C2^2xD9)288,138
C22.25(C22×D9) = D4×Dic9central extension (φ=1)144C2^2.25(C2^2xD9)288,144
C22.26(C22×D9) = Q8×Dic9central extension (φ=1)288C2^2.26(C2^2xD9)288,155
C22.27(C22×D9) = C2×C18.D4central extension (φ=1)144C2^2.27(C2^2xD9)288,162
C22.28(C22×D9) = C22×Dic18central extension (φ=1)288C2^2.28(C2^2xD9)288,352
C22.29(C22×D9) = C22×C4×D9central extension (φ=1)144C2^2.29(C2^2xD9)288,353
C22.30(C22×D9) = C22×D36central extension (φ=1)144C2^2.30(C2^2xD9)288,354
C22.31(C22×D9) = C2×Q8×D9central extension (φ=1)144C2^2.31(C2^2xD9)288,359
C22.32(C22×D9) = C2×Q83D9central extension (φ=1)144C2^2.32(C2^2xD9)288,360
C22.33(C22×D9) = C23×Dic9central extension (φ=1)288C2^2.33(C2^2xD9)288,365
C22.34(C22×D9) = C362Q8central stem extension (φ=1)288C2^2.34(C2^2xD9)288,79
C22.35(C22×D9) = C36.6Q8central stem extension (φ=1)288C2^2.35(C2^2xD9)288,80
C22.36(C22×D9) = C426D9central stem extension (φ=1)144C2^2.36(C2^2xD9)288,84
C22.37(C22×D9) = C427D9central stem extension (φ=1)144C2^2.37(C2^2xD9)288,85
C22.38(C22×D9) = C423D9central stem extension (φ=1)144C2^2.38(C2^2xD9)288,86
C22.39(C22×D9) = C222Dic18central stem extension (φ=1)144C2^2.39(C2^2xD9)288,88
C22.40(C22×D9) = C23.8D18central stem extension (φ=1)144C2^2.40(C2^2xD9)288,89
C22.41(C22×D9) = C223D36central stem extension (φ=1)72C2^2.41(C2^2xD9)288,92
C22.42(C22×D9) = C23.9D18central stem extension (φ=1)144C2^2.42(C2^2xD9)288,93
C22.43(C22×D9) = D18⋊D4central stem extension (φ=1)144C2^2.43(C2^2xD9)288,94
C22.44(C22×D9) = Dic9.D4central stem extension (φ=1)144C2^2.44(C2^2xD9)288,95
C22.45(C22×D9) = C22.4D36central stem extension (φ=1)144C2^2.45(C2^2xD9)288,96
C22.46(C22×D9) = C36⋊Q8central stem extension (φ=1)288C2^2.46(C2^2xD9)288,98
C22.47(C22×D9) = Dic9.Q8central stem extension (φ=1)288C2^2.47(C2^2xD9)288,99
C22.48(C22×D9) = C36.3Q8central stem extension (φ=1)288C2^2.48(C2^2xD9)288,100
C22.49(C22×D9) = D18.D4central stem extension (φ=1)144C2^2.49(C2^2xD9)288,104
C22.50(C22×D9) = C4⋊D36central stem extension (φ=1)144C2^2.50(C2^2xD9)288,105
C22.51(C22×D9) = D18⋊Q8central stem extension (φ=1)144C2^2.51(C2^2xD9)288,106
C22.52(C22×D9) = D182Q8central stem extension (φ=1)144C2^2.52(C2^2xD9)288,107
C22.53(C22×D9) = C4⋊C4⋊D9central stem extension (φ=1)144C2^2.53(C2^2xD9)288,108
C22.54(C22×D9) = C36.49D4central stem extension (φ=1)144C2^2.54(C2^2xD9)288,134
C22.55(C22×D9) = C23.28D18central stem extension (φ=1)144C2^2.55(C2^2xD9)288,139
C22.56(C22×D9) = C367D4central stem extension (φ=1)144C2^2.56(C2^2xD9)288,140
C22.57(C22×D9) = C23.23D18central stem extension (φ=1)144C2^2.57(C2^2xD9)288,145
C22.58(C22×D9) = C36.17D4central stem extension (φ=1)144C2^2.58(C2^2xD9)288,146
C22.59(C22×D9) = C232D18central stem extension (φ=1)72C2^2.59(C2^2xD9)288,147
C22.60(C22×D9) = C362D4central stem extension (φ=1)144C2^2.60(C2^2xD9)288,148
C22.61(C22×D9) = Dic9⋊D4central stem extension (φ=1)144C2^2.61(C2^2xD9)288,149
C22.62(C22×D9) = C36⋊D4central stem extension (φ=1)144C2^2.62(C2^2xD9)288,150
C22.63(C22×D9) = Dic9⋊Q8central stem extension (φ=1)288C2^2.63(C2^2xD9)288,154
C22.64(C22×D9) = D183Q8central stem extension (φ=1)144C2^2.64(C2^2xD9)288,156
C22.65(C22×D9) = C36.23D4central stem extension (φ=1)144C2^2.65(C2^2xD9)288,157
C22.66(C22×D9) = C244D9central stem extension (φ=1)72C2^2.66(C2^2xD9)288,163

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