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Extensions 1→N→G→Q→1 with N=C18 and Q=C22×C4

Direct product G=N×Q with N=C18 and Q=C22×C4
dρLabelID
C23×C36288C2^3xC36288,367

Semidirect products G=N:Q with N=C18 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C18⋊1(C22×C4) = C22×C4×D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18:1(C2^2xC4)288,353
C18⋊2(C22×C4) = C23×Dic9φ: C22×C4/C23 → C2 ⊆ Aut C18288C18:2(C2^2xC4)288,365

Non-split extensions G=N.Q with N=C18 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C18.1(C22×C4) = C4×Dic18φ: C22×C4/C2×C4 → C2 ⊆ Aut C18288C18.1(C2^2xC4)288,78
C18.2(C22×C4) = C42×D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.2(C2^2xC4)288,81
C18.3(C22×C4) = C42⋊2D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.3(C2^2xC4)288,82
C18.4(C22×C4) = C4×D36φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.4(C2^2xC4)288,83
C18.5(C22×C4) = C23.16D18φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.5(C2^2xC4)288,87
C18.6(C22×C4) = C22⋊C4×D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C1872C18.6(C2^2xC4)288,90
C18.7(C22×C4) = Dic9⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.7(C2^2xC4)288,91
C18.8(C22×C4) = Dic9⋊3Q8φ: C22×C4/C2×C4 → C2 ⊆ Aut C18288C18.8(C2^2xC4)288,97
C18.9(C22×C4) = C4⋊C4×D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.9(C2^2xC4)288,101
C18.10(C22×C4) = C4⋊C4⋊7D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.10(C2^2xC4)288,102
C18.11(C22×C4) = D36⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.11(C2^2xC4)288,103
C18.12(C22×C4) = C2×C8×D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.12(C2^2xC4)288,110
C18.13(C22×C4) = C2×C8⋊D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.13(C2^2xC4)288,111
C18.14(C22×C4) = D36.2C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C181442C18.14(C2^2xC4)288,112
C18.15(C22×C4) = M4(2)×D9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18724C18.15(C2^2xC4)288,116
C18.16(C22×C4) = D36.C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C181444C18.16(C2^2xC4)288,117
C18.17(C22×C4) = C2×C4×Dic9φ: C22×C4/C2×C4 → C2 ⊆ Aut C18288C18.17(C2^2xC4)288,132
C18.18(C22×C4) = C2×Dic9⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C18288C18.18(C2^2xC4)288,133
C18.19(C22×C4) = C2×D18⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.19(C2^2xC4)288,137
C18.20(C22×C4) = C4×C9⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C18144C18.20(C2^2xC4)288,138
C18.21(C22×C4) = C22×C9⋊C8φ: C22×C4/C23 → C2 ⊆ Aut C18288C18.21(C2^2xC4)288,130
C18.22(C22×C4) = C2×C4.Dic9φ: C22×C4/C23 → C2 ⊆ Aut C18144C18.22(C2^2xC4)288,131
C18.23(C22×C4) = C2×C4⋊Dic9φ: C22×C4/C23 → C2 ⊆ Aut C18288C18.23(C2^2xC4)288,135
C18.24(C22×C4) = C23.26D18φ: C22×C4/C23 → C2 ⊆ Aut C18144C18.24(C2^2xC4)288,136
C18.25(C22×C4) = D4×Dic9φ: C22×C4/C23 → C2 ⊆ Aut C18144C18.25(C2^2xC4)288,144
C18.26(C22×C4) = Q8×Dic9φ: C22×C4/C23 → C2 ⊆ Aut C18288C18.26(C2^2xC4)288,155
C18.27(C22×C4) = D4.Dic9φ: C22×C4/C23 → C2 ⊆ Aut C181444C18.27(C2^2xC4)288,158
C18.28(C22×C4) = C2×C18.D4φ: C22×C4/C23 → C2 ⊆ Aut C18144C18.28(C2^2xC4)288,162
C18.29(C22×C4) = C22⋊C4×C18central extension (φ=1)144C18.29(C2^2xC4)288,165
C18.30(C22×C4) = C4⋊C4×C18central extension (φ=1)288C18.30(C2^2xC4)288,166
C18.31(C22×C4) = C9×C42⋊C2central extension (φ=1)144C18.31(C2^2xC4)288,167
C18.32(C22×C4) = D4×C36central extension (φ=1)144C18.32(C2^2xC4)288,168
C18.33(C22×C4) = Q8×C36central extension (φ=1)288C18.33(C2^2xC4)288,169
C18.34(C22×C4) = M4(2)×C18central extension (φ=1)144C18.34(C2^2xC4)288,180
C18.35(C22×C4) = C9×C8○D4central extension (φ=1)1442C18.35(C2^2xC4)288,181

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