# Extensions 1→N→G→Q→1 with N=C18 and Q=C22×C6

Direct product G=N×Q with N=C18 and Q=C22×C6
dρLabelID
C22×C6×C18432C2^2xC6xC18432,562

Semidirect products G=N:Q with N=C18 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C18⋊(C22×C6) = C23×C9⋊C6φ: C22×C6/C22C6 ⊆ Aut C1872C18:(C2^2xC6)432,559
C182(C22×C6) = C24×3- 1+2φ: C22×C6/C23C3 ⊆ Aut C18144C18:2(C2^2xC6)432,564
C183(C22×C6) = D9×C22×C6φ: C22×C6/C2×C6C2 ⊆ Aut C18144C18:3(C2^2xC6)432,556

Non-split extensions G=N.Q with N=C18 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C18.1(C22×C6) = C2×C36.C6φ: C22×C6/C22C6 ⊆ Aut C18144C18.1(C2^2xC6)432,352
C18.2(C22×C6) = C2×C4×C9⋊C6φ: C22×C6/C22C6 ⊆ Aut C1872C18.2(C2^2xC6)432,353
C18.3(C22×C6) = C2×D36⋊C3φ: C22×C6/C22C6 ⊆ Aut C1872C18.3(C2^2xC6)432,354
C18.4(C22×C6) = D366C6φ: C22×C6/C22C6 ⊆ Aut C18726C18.4(C2^2xC6)432,355
C18.5(C22×C6) = D4×C9⋊C6φ: C22×C6/C22C6 ⊆ Aut C183612+C18.5(C2^2xC6)432,362
C18.6(C22×C6) = Dic182C6φ: C22×C6/C22C6 ⊆ Aut C187212-C18.6(C2^2xC6)432,363
C18.7(C22×C6) = Q8×C9⋊C6φ: C22×C6/C22C6 ⊆ Aut C187212-C18.7(C2^2xC6)432,370
C18.8(C22×C6) = D363C6φ: C22×C6/C22C6 ⊆ Aut C187212+C18.8(C2^2xC6)432,371
C18.9(C22×C6) = C22×C9⋊C12φ: C22×C6/C22C6 ⊆ Aut C18144C18.9(C2^2xC6)432,378
C18.10(C22×C6) = C2×Dic9⋊C6φ: C22×C6/C22C6 ⊆ Aut C1872C18.10(C2^2xC6)432,379
C18.11(C22×C6) = C22×C4×3- 1+2φ: C22×C6/C23C3 ⊆ Aut C18144C18.11(C2^2xC6)432,402
C18.12(C22×C6) = C2×D4×3- 1+2φ: C22×C6/C23C3 ⊆ Aut C1872C18.12(C2^2xC6)432,405
C18.13(C22×C6) = C2×Q8×3- 1+2φ: C22×C6/C23C3 ⊆ Aut C18144C18.13(C2^2xC6)432,408
C18.14(C22×C6) = C4○D4×3- 1+2φ: C22×C6/C23C3 ⊆ Aut C18726C18.14(C2^2xC6)432,411
C18.15(C22×C6) = C6×Dic18φ: C22×C6/C2×C6C2 ⊆ Aut C18144C18.15(C2^2xC6)432,340
C18.16(C22×C6) = D9×C2×C12φ: C22×C6/C2×C6C2 ⊆ Aut C18144C18.16(C2^2xC6)432,342
C18.17(C22×C6) = C6×D36φ: C22×C6/C2×C6C2 ⊆ Aut C18144C18.17(C2^2xC6)432,343
C18.18(C22×C6) = C3×D365C2φ: C22×C6/C2×C6C2 ⊆ Aut C18722C18.18(C2^2xC6)432,344
C18.19(C22×C6) = C3×D4×D9φ: C22×C6/C2×C6C2 ⊆ Aut C18724C18.19(C2^2xC6)432,356
C18.20(C22×C6) = C3×D42D9φ: C22×C6/C2×C6C2 ⊆ Aut C18724C18.20(C2^2xC6)432,357
C18.21(C22×C6) = C3×Q8×D9φ: C22×C6/C2×C6C2 ⊆ Aut C181444C18.21(C2^2xC6)432,364
C18.22(C22×C6) = C3×Q83D9φ: C22×C6/C2×C6C2 ⊆ Aut C181444C18.22(C2^2xC6)432,365
C18.23(C22×C6) = C2×C6×Dic9φ: C22×C6/C2×C6C2 ⊆ Aut C18144C18.23(C2^2xC6)432,372
C18.24(C22×C6) = C6×C9⋊D4φ: C22×C6/C2×C6C2 ⊆ Aut C1872C18.24(C2^2xC6)432,374
C18.25(C22×C6) = D4×C54central extension (φ=1)216C18.25(C2^2xC6)432,54
C18.26(C22×C6) = Q8×C54central extension (φ=1)432C18.26(C2^2xC6)432,55
C18.27(C22×C6) = C4○D4×C27central extension (φ=1)2162C18.27(C2^2xC6)432,56
C18.28(C22×C6) = D4×C3×C18central extension (φ=1)216C18.28(C2^2xC6)432,403
C18.29(C22×C6) = Q8×C3×C18central extension (φ=1)432C18.29(C2^2xC6)432,406
C18.30(C22×C6) = C4○D4×C3×C9central extension (φ=1)216C18.30(C2^2xC6)432,409

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