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Extensions 1→N→G→Q→1 with N=C6 and Q=C3×C3⋊D4

Direct product G=N×Q with N=C6 and Q=C3×C3⋊D4
dρLabelID
C3×C6×C3⋊D472C3xC6xC3:D4432,709

Semidirect products G=N:Q with N=C6 and Q=C3×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C3×C3⋊D4) = C6×C3⋊D12φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C648C6:1(C3xC3:D4)432,656
C6⋊2(C3×C3⋊D4) = C6×D6⋊S3φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C648C6:2(C3xC3:D4)432,655
C6⋊3(C3×C3⋊D4) = C6×C32⋊7D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6:3(C3xC3:D4)432,719

Non-split extensions G=N.Q with N=C6 and Q=C3×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C6.1(C3×C3⋊D4) = C3×C3⋊D24φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C6484C6.1(C3xC3:D4)432,419
C6.2(C3×C3⋊D4) = C3×D12.S3φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C6484C6.2(C3xC3:D4)432,421
C6.3(C3×C3⋊D4) = C3×C32⋊5SD16φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C6484C6.3(C3xC3:D4)432,422
C6.4(C3×C3⋊D4) = C3×C32⋊3Q16φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C6484C6.4(C3xC3:D4)432,424
C6.5(C3×C3⋊D4) = C3×C6.D12φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C648C6.5(C3xC3:D4)432,427
C6.6(C3×C3⋊D4) = C3×Dic3⋊Dic3φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C648C6.6(C3xC3:D4)432,428
C6.7(C3×C3⋊D4) = C3×C32⋊2D8φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C6484C6.7(C3xC3:D4)432,418
C6.8(C3×C3⋊D4) = C3×Dic6⋊S3φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C6484C6.8(C3xC3:D4)432,420
C6.9(C3×C3⋊D4) = C3×C32⋊2Q16φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C6484C6.9(C3xC3:D4)432,423
C6.10(C3×C3⋊D4) = C3×D6⋊Dic3φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C648C6.10(C3xC3:D4)432,426
C6.11(C3×C3⋊D4) = C3×C62.C22φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C648C6.11(C3xC3:D4)432,429
C6.12(C3×C3⋊D4) = C3×Dic9⋊C4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.12(C3xC3:D4)432,129
C6.13(C3×C3⋊D4) = C3×D18⋊C4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.13(C3xC3:D4)432,134
C6.14(C3×C3⋊D4) = C62.19D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.14(C3xC3:D4)432,139
C6.15(C3×C3⋊D4) = C62.21D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.15(C3xC3:D4)432,141
C6.16(C3×C3⋊D4) = Dic9⋊C12φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.16(C3xC3:D4)432,145
C6.17(C3×C3⋊D4) = D18⋊C12φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.17(C3xC3:D4)432,147
C6.18(C3×C3⋊D4) = C3×D4.D9φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6724C6.18(C3xC3:D4)432,148
C6.19(C3×C3⋊D4) = C3×D4⋊D9φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6724C6.19(C3xC3:D4)432,149
C6.20(C3×C3⋊D4) = He3⋊8SD16φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C67212-C6.20(C3xC3:D4)432,152
C6.21(C3×C3⋊D4) = He3⋊6D8φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C67212+C6.21(C3xC3:D4)432,153
C6.22(C3×C3⋊D4) = Dic18⋊C6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C67212-C6.22(C3xC3:D4)432,154
C6.23(C3×C3⋊D4) = D36⋊C6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C67212+C6.23(C3xC3:D4)432,155
C6.24(C3×C3⋊D4) = C3×C9⋊Q16φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C61444C6.24(C3xC3:D4)432,156
C6.25(C3×C3⋊D4) = C3×Q8⋊2D9φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C61444C6.25(C3xC3:D4)432,157
C6.26(C3×C3⋊D4) = He3⋊6Q16φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C614412-C6.26(C3xC3:D4)432,160
C6.27(C3×C3⋊D4) = He3⋊10SD16φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C67212+C6.27(C3xC3:D4)432,161
C6.28(C3×C3⋊D4) = Dic18.C6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C614412-C6.28(C3xC3:D4)432,162
C6.29(C3×C3⋊D4) = D36.C6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C67212+C6.29(C3xC3:D4)432,163
C6.30(C3×C3⋊D4) = C3×C18.D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.30(C3xC3:D4)432,164
C6.31(C3×C3⋊D4) = C62⋊3C12φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.31(C3xC3:D4)432,166
C6.32(C3×C3⋊D4) = C62.27D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.32(C3xC3:D4)432,167
C6.33(C3×C3⋊D4) = C6×C9⋊D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.33(C3xC3:D4)432,374
C6.34(C3×C3⋊D4) = C2×He3⋊6D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.34(C3xC3:D4)432,377
C6.35(C3×C3⋊D4) = C2×Dic9⋊C6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.35(C3xC3:D4)432,379
C6.36(C3×C3⋊D4) = C3×C6.Dic6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.36(C3xC3:D4)432,488
C6.37(C3×C3⋊D4) = C3×C6.11D12φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.37(C3xC3:D4)432,490
C6.38(C3×C3⋊D4) = C3×C32⋊7D8φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.38(C3xC3:D4)432,491
C6.39(C3×C3⋊D4) = C3×C32⋊9SD16φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.39(C3xC3:D4)432,492
C6.40(C3×C3⋊D4) = C3×C32⋊11SD16φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.40(C3xC3:D4)432,493
C6.41(C3×C3⋊D4) = C3×C32⋊7Q16φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C6144C6.41(C3xC3:D4)432,494
C6.42(C3×C3⋊D4) = C3×C62⋊5C4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C672C6.42(C3xC3:D4)432,495
C6.43(C3×C3⋊D4) = C9×Dic3⋊C4central extension (φ=1)144C6.43(C3xC3:D4)432,132
C6.44(C3×C3⋊D4) = C9×D6⋊C4central extension (φ=1)144C6.44(C3xC3:D4)432,135
C6.45(C3×C3⋊D4) = C9×D4⋊S3central extension (φ=1)724C6.45(C3xC3:D4)432,150
C6.46(C3×C3⋊D4) = C9×D4.S3central extension (φ=1)724C6.46(C3xC3:D4)432,151
C6.47(C3×C3⋊D4) = C9×Q8⋊2S3central extension (φ=1)1444C6.47(C3xC3:D4)432,158
C6.48(C3×C3⋊D4) = C9×C3⋊Q16central extension (φ=1)1444C6.48(C3xC3:D4)432,159
C6.49(C3×C3⋊D4) = C9×C6.D4central extension (φ=1)72C6.49(C3xC3:D4)432,165
C6.50(C3×C3⋊D4) = C18×C3⋊D4central extension (φ=1)72C6.50(C3xC3:D4)432,375
C6.51(C3×C3⋊D4) = C32×Dic3⋊C4central extension (φ=1)144C6.51(C3xC3:D4)432,472
C6.52(C3×C3⋊D4) = C32×D6⋊C4central extension (φ=1)144C6.52(C3xC3:D4)432,474
C6.53(C3×C3⋊D4) = C32×D4⋊S3central extension (φ=1)72C6.53(C3xC3:D4)432,475
C6.54(C3×C3⋊D4) = C32×D4.S3central extension (φ=1)72C6.54(C3xC3:D4)432,476
C6.55(C3×C3⋊D4) = C32×Q8⋊2S3central extension (φ=1)144C6.55(C3xC3:D4)432,477
C6.56(C3×C3⋊D4) = C32×C3⋊Q16central extension (φ=1)144C6.56(C3xC3:D4)432,478
C6.57(C3×C3⋊D4) = C32×C6.D4central extension (φ=1)72C6.57(C3xC3:D4)432,479

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