Extensions 1→N→G→Q→1 with N=C22 and Q=C3⋊D12

Direct product G=N×Q with N=C22 and Q=C3⋊D12
dρLabelID
C22×C3⋊D1248C2^2xC3:D12288,974

Semidirect products G=N:Q with N=C22 and Q=C3⋊D12
extensionφ:Q→Aut NdρLabelID
C221(C3⋊D12) = Dic3⋊S4φ: C3⋊D12/Dic3S3 ⊆ Aut C22366C2^2:1(C3:D12)288,855
C222(C3⋊D12) = A4⋊D12φ: C3⋊D12/D6S3 ⊆ Aut C22366+C2^2:2(C3:D12)288,858
C223(C3⋊D12) = C626D4φ: C3⋊D12/C3×Dic3C2 ⊆ Aut C2248C2^2:3(C3:D12)288,626
C224(C3⋊D12) = C625D4φ: C3⋊D12/S3×C6C2 ⊆ Aut C2248C2^2:4(C3:D12)288,625
C225(C3⋊D12) = C628D4φ: C3⋊D12/C2×C3⋊S3C2 ⊆ Aut C2224C2^2:5(C3:D12)288,629

Non-split extensions G=N.Q with N=C22 and Q=C3⋊D12
extensionφ:Q→Aut NdρLabelID
C22.1(C3⋊D12) = D12.27D6φ: C3⋊D12/C3×Dic3C2 ⊆ Aut C22484C2^2.1(C3:D12)288,477
C22.2(C3⋊D12) = C12.80D12φ: C3⋊D12/S3×C6C2 ⊆ Aut C22484C2^2.2(C3:D12)288,218
C22.3(C3⋊D12) = C62.32D4φ: C3⋊D12/S3×C6C2 ⊆ Aut C22244C2^2.3(C3:D12)288,229
C22.4(C3⋊D12) = D12.28D6φ: C3⋊D12/S3×C6C2 ⊆ Aut C22484C2^2.4(C3:D12)288,478
C22.5(C3⋊D12) = Dic6.29D6φ: C3⋊D12/S3×C6C2 ⊆ Aut C22484C2^2.5(C3:D12)288,481
C22.6(C3⋊D12) = C62.60D4φ: C3⋊D12/S3×C6C2 ⊆ Aut C2248C2^2.6(C3:D12)288,614
C22.7(C3⋊D12) = D124Dic3φ: C3⋊D12/C2×C3⋊S3C2 ⊆ Aut C22244C2^2.7(C3:D12)288,216
C22.8(C3⋊D12) = C62.31D4φ: C3⋊D12/C2×C3⋊S3C2 ⊆ Aut C22244C2^2.8(C3:D12)288,228
C22.9(C3⋊D12) = D1218D6φ: C3⋊D12/C2×C3⋊S3C2 ⊆ Aut C22244+C2^2.9(C3:D12)288,473
C22.10(C3⋊D12) = D12.29D6φ: C3⋊D12/C2×C3⋊S3C2 ⊆ Aut C22484-C2^2.10(C3:D12)288,479
C22.11(C3⋊D12) = C62.57D4φ: C3⋊D12/C2×C3⋊S3C2 ⊆ Aut C2248C2^2.11(C3:D12)288,610
C22.12(C3⋊D12) = C6.16D24central extension (φ=1)96C2^2.12(C3:D12)288,211
C22.13(C3⋊D12) = C6.17D24central extension (φ=1)48C2^2.13(C3:D12)288,212
C22.14(C3⋊D12) = C6.Dic12central extension (φ=1)96C2^2.14(C3:D12)288,214
C22.15(C3⋊D12) = C12.73D12central extension (φ=1)96C2^2.15(C3:D12)288,215
C22.16(C3⋊D12) = C12.Dic6central extension (φ=1)96C2^2.16(C3:D12)288,221
C22.17(C3⋊D12) = C6.18D24central extension (φ=1)96C2^2.17(C3:D12)288,223
C22.18(C3⋊D12) = C62.6Q8central extension (φ=1)96C2^2.18(C3:D12)288,227
C22.19(C3⋊D12) = C2×C3⋊D24central extension (φ=1)48C2^2.19(C3:D12)288,472
C22.20(C3⋊D12) = C2×D12.S3central extension (φ=1)96C2^2.20(C3:D12)288,476
C22.21(C3⋊D12) = C2×C325SD16central extension (φ=1)48C2^2.21(C3:D12)288,480
C22.22(C3⋊D12) = C2×C323Q16central extension (φ=1)96C2^2.22(C3:D12)288,483
C22.23(C3⋊D12) = C2×D6⋊Dic3central extension (φ=1)96C2^2.23(C3:D12)288,608
C22.24(C3⋊D12) = C2×C6.D12central extension (φ=1)48C2^2.24(C3:D12)288,611
C22.25(C3⋊D12) = C2×Dic3⋊Dic3central extension (φ=1)96C2^2.25(C3:D12)288,613

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