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Extensions 1→N→G→Q→1 with N=C18 and Q=C2×C12

Direct product G=N×Q with N=C18 and Q=C2×C12
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C18 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C18⋊1(C2×C12) = C2×C4×C9⋊C6φ: C2×C12/C4 → C6 ⊆ Aut C1872C18:1(C2xC12)432,353
C18⋊2(C2×C12) = C22×C9⋊C12φ: C2×C12/C22 → C6 ⊆ Aut C18144C18:2(C2xC12)432,378
C18⋊3(C2×C12) = C22×C4×3- 1+2φ: C2×C12/C2×C4 → C3 ⊆ Aut C18144C18:3(C2xC12)432,402
C18⋊4(C2×C12) = D9×C2×C12φ: C2×C12/C12 → C2 ⊆ Aut C18144C18:4(C2xC12)432,342
C18⋊5(C2×C12) = C2×C6×Dic9φ: C2×C12/C2×C6 → C2 ⊆ Aut C18144C18:5(C2xC12)432,372

Non-split extensions G=N.Q with N=C18 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C18.1(C2×C12) = C8×C9⋊C6φ: C2×C12/C4 → C6 ⊆ Aut C18726C18.1(C2xC12)432,120
C18.2(C2×C12) = C72⋊C6φ: C2×C12/C4 → C6 ⊆ Aut C18726C18.2(C2xC12)432,121
C18.3(C2×C12) = Dic9⋊C12φ: C2×C12/C4 → C6 ⊆ Aut C18144C18.3(C2xC12)432,145
C18.4(C2×C12) = D18⋊C12φ: C2×C12/C4 → C6 ⊆ Aut C1872C18.4(C2xC12)432,147
C18.5(C2×C12) = C2×C9⋊C24φ: C2×C12/C22 → C6 ⊆ Aut C18144C18.5(C2xC12)432,142
C18.6(C2×C12) = C36.C12φ: C2×C12/C22 → C6 ⊆ Aut C18726C18.6(C2xC12)432,143
C18.7(C2×C12) = C4×C9⋊C12φ: C2×C12/C22 → C6 ⊆ Aut C18144C18.7(C2xC12)432,144
C18.8(C2×C12) = C36⋊C12φ: C2×C12/C22 → C6 ⊆ Aut C18144C18.8(C2xC12)432,146
C18.9(C2×C12) = C62.27D6φ: C2×C12/C22 → C6 ⊆ Aut C1872C18.9(C2xC12)432,167
C18.10(C2×C12) = C42×3- 1+2φ: C2×C12/C2×C4 → C3 ⊆ Aut C18144C18.10(C2xC12)432,202
C18.11(C2×C12) = C22⋊C4×3- 1+2φ: C2×C12/C2×C4 → C3 ⊆ Aut C1872C18.11(C2xC12)432,205
C18.12(C2×C12) = C4⋊C4×3- 1+2φ: C2×C12/C2×C4 → C3 ⊆ Aut C18144C18.12(C2xC12)432,208
C18.13(C2×C12) = C2×C8×3- 1+2φ: C2×C12/C2×C4 → C3 ⊆ Aut C18144C18.13(C2xC12)432,211
C18.14(C2×C12) = M4(2)×3- 1+2φ: C2×C12/C2×C4 → C3 ⊆ Aut C18726C18.14(C2xC12)432,214
C18.15(C2×C12) = D9×C24φ: C2×C12/C12 → C2 ⊆ Aut C181442C18.15(C2xC12)432,105
C18.16(C2×C12) = C3×C8⋊D9φ: C2×C12/C12 → C2 ⊆ Aut C181442C18.16(C2xC12)432,106
C18.17(C2×C12) = C12×Dic9φ: C2×C12/C12 → C2 ⊆ Aut C18144C18.17(C2xC12)432,128
C18.18(C2×C12) = C3×Dic9⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C18144C18.18(C2xC12)432,129
C18.19(C2×C12) = C3×D18⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C18144C18.19(C2xC12)432,134
C18.20(C2×C12) = C6×C9⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C18144C18.20(C2xC12)432,124
C18.21(C2×C12) = C3×C4.Dic9φ: C2×C12/C2×C6 → C2 ⊆ Aut C18722C18.21(C2xC12)432,125
C18.22(C2×C12) = C3×C4⋊Dic9φ: C2×C12/C2×C6 → C2 ⊆ Aut C18144C18.22(C2xC12)432,130
C18.23(C2×C12) = C3×C18.D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C1872C18.23(C2xC12)432,164
C18.24(C2×C12) = C22⋊C4×C27central extension (φ=1)216C18.24(C2xC12)432,21
C18.25(C2×C12) = C4⋊C4×C27central extension (φ=1)432C18.25(C2xC12)432,22
C18.26(C2×C12) = M4(2)×C27central extension (φ=1)2162C18.26(C2xC12)432,24
C18.27(C2×C12) = C22⋊C4×C3×C9central extension (φ=1)216C18.27(C2xC12)432,203
C18.28(C2×C12) = C4⋊C4×C3×C9central extension (φ=1)432C18.28(C2xC12)432,206
C18.29(C2×C12) = M4(2)×C3×C9central extension (φ=1)216C18.29(C2xC12)432,212

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