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Extensions 1→N→G→Q→1 with N=C3×C18 and Q=C2×C4

Direct product G=N×Q with N=C3×C18 and Q=C2×C4
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C3×C18 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊1(C2×C4) = C2×Dic3×D9φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18):1(C2xC4)432,304
(C3×C18)⋊2(C2×C4) = C2×C18.D6φ: C2×C4/C2 → C22 ⊆ Aut C3×C1872(C3xC18):2(C2xC4)432,306
(C3×C18)⋊3(C2×C4) = C2×S3×Dic9φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18):3(C2xC4)432,308
(C3×C18)⋊4(C2×C4) = S3×C2×C36φ: C2×C4/C4 → C2 ⊆ Aut C3×C18144(C3xC18):4(C2xC4)432,345
(C3×C18)⋊5(C2×C4) = D9×C2×C12φ: C2×C4/C4 → C2 ⊆ Aut C3×C18144(C3xC18):5(C2xC4)432,342
(C3×C18)⋊6(C2×C4) = C2×C4×C9⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C3×C18216(C3xC18):6(C2xC4)432,381
(C3×C18)⋊7(C2×C4) = Dic3×C2×C18φ: C2×C4/C22 → C2 ⊆ Aut C3×C18144(C3xC18):7(C2xC4)432,373
(C3×C18)⋊8(C2×C4) = C2×C6×Dic9φ: C2×C4/C22 → C2 ⊆ Aut C3×C18144(C3xC18):8(C2xC4)432,372
(C3×C18)⋊9(C2×C4) = C22×C9⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C3×C18432(C3xC18):9(C2xC4)432,396

Non-split extensions G=N.Q with N=C3×C18 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C3×C18).1(C2×C4) = D9×C3⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).1(C2xC4)432,58
(C3×C18).2(C2×C4) = C36.38D6φ: C2×C4/C2 → C22 ⊆ Aut C3×C18724(C3xC18).2(C2xC4)432,59
(C3×C18).3(C2×C4) = C36.39D6φ: C2×C4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).3(C2xC4)432,60
(C3×C18).4(C2×C4) = C36.40D6φ: C2×C4/C2 → C22 ⊆ Aut C3×C18724(C3xC18).4(C2xC4)432,61
(C3×C18).5(C2×C4) = S3×C9⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).5(C2xC4)432,66
(C3×C18).6(C2×C4) = D6.Dic9φ: C2×C4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).6(C2xC4)432,67
(C3×C18).7(C2×C4) = Dic3×Dic9φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).7(C2xC4)432,87
(C3×C18).8(C2×C4) = Dic9⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).8(C2xC4)432,88
(C3×C18).9(C2×C4) = C18.Dic6φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).9(C2xC4)432,89
(C3×C18).10(C2×C4) = Dic3⋊Dic9φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).10(C2xC4)432,90
(C3×C18).11(C2×C4) = D18⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).11(C2xC4)432,91
(C3×C18).12(C2×C4) = C6.18D36φ: C2×C4/C2 → C22 ⊆ Aut C3×C1872(C3xC18).12(C2xC4)432,92
(C3×C18).13(C2×C4) = D6⋊Dic9φ: C2×C4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).13(C2xC4)432,93
(C3×C18).14(C2×C4) = S3×C72φ: C2×C4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).14(C2xC4)432,109
(C3×C18).15(C2×C4) = C9×C8⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).15(C2xC4)432,110
(C3×C18).16(C2×C4) = C9×Dic3⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).16(C2xC4)432,132
(C3×C18).17(C2×C4) = C9×D6⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).17(C2xC4)432,135
(C3×C18).18(C2×C4) = D9×C24φ: C2×C4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).18(C2xC4)432,105
(C3×C18).19(C2×C4) = C3×C8⋊D9φ: C2×C4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).19(C2xC4)432,106
(C3×C18).20(C2×C4) = C12×Dic9φ: C2×C4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).20(C2xC4)432,128
(C3×C18).21(C2×C4) = C3×Dic9⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).21(C2xC4)432,129
(C3×C18).22(C2×C4) = C3×D18⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).22(C2xC4)432,134
(C3×C18).23(C2×C4) = C8×C9⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C3×C18216(C3xC18).23(C2xC4)432,169
(C3×C18).24(C2×C4) = C72⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C3×C18216(C3xC18).24(C2xC4)432,170
(C3×C18).25(C2×C4) = C6.Dic18φ: C2×C4/C4 → C2 ⊆ Aut C3×C18432(C3xC18).25(C2xC4)432,181
(C3×C18).26(C2×C4) = C6.11D36φ: C2×C4/C4 → C2 ⊆ Aut C3×C18216(C3xC18).26(C2xC4)432,183
(C3×C18).27(C2×C4) = C18×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C3×C18144(C3xC18).27(C2xC4)432,126
(C3×C18).28(C2×C4) = C9×C4.Dic3φ: C2×C4/C22 → C2 ⊆ Aut C3×C18722(C3xC18).28(C2xC4)432,127
(C3×C18).29(C2×C4) = Dic3×C36φ: C2×C4/C22 → C2 ⊆ Aut C3×C18144(C3xC18).29(C2xC4)432,131
(C3×C18).30(C2×C4) = C9×C4⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C3×C18144(C3xC18).30(C2xC4)432,133
(C3×C18).31(C2×C4) = C9×C6.D4φ: C2×C4/C22 → C2 ⊆ Aut C3×C1872(C3xC18).31(C2xC4)432,165
(C3×C18).32(C2×C4) = C6×C9⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C3×C18144(C3xC18).32(C2xC4)432,124
(C3×C18).33(C2×C4) = C3×C4.Dic9φ: C2×C4/C22 → C2 ⊆ Aut C3×C18722(C3xC18).33(C2xC4)432,125
(C3×C18).34(C2×C4) = C3×C4⋊Dic9φ: C2×C4/C22 → C2 ⊆ Aut C3×C18144(C3xC18).34(C2xC4)432,130
(C3×C18).35(C2×C4) = C3×C18.D4φ: C2×C4/C22 → C2 ⊆ Aut C3×C1872(C3xC18).35(C2xC4)432,164
(C3×C18).36(C2×C4) = C2×C36.S3φ: C2×C4/C22 → C2 ⊆ Aut C3×C18432(C3xC18).36(C2xC4)432,178
(C3×C18).37(C2×C4) = C36.69D6φ: C2×C4/C22 → C2 ⊆ Aut C3×C18216(C3xC18).37(C2xC4)432,179
(C3×C18).38(C2×C4) = C4×C9⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C3×C18432(C3xC18).38(C2xC4)432,180
(C3×C18).39(C2×C4) = C36⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C3×C18432(C3xC18).39(C2xC4)432,182
(C3×C18).40(C2×C4) = C62.127D6φ: C2×C4/C22 → C2 ⊆ Aut C3×C18216(C3xC18).40(C2xC4)432,198
(C3×C18).41(C2×C4) = C22⋊C4×C3×C9central extension (φ=1)216(C3xC18).41(C2xC4)432,203
(C3×C18).42(C2×C4) = C4⋊C4×C3×C9central extension (φ=1)432(C3xC18).42(C2xC4)432,206
(C3×C18).43(C2×C4) = M4(2)×C3×C9central extension (φ=1)216(C3xC18).43(C2xC4)432,212

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