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Extensions 1→N→G→Q→1 with N=C6 and Q=C4.4D4

Direct product G=N×Q with N=C6 and Q=C4.4D4
dρLabelID
C6×C4.4D496C6xC4.4D4192,1415

Semidirect products G=N:Q with N=C6 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4.4D4) = C2×C42⋊7S3φ: C4.4D4/C42 → C2 ⊆ Aut C696C6:1(C4.4D4)192,1035
C6⋊2(C4.4D4) = C2×C23.11D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6:2(C4.4D4)192,1050
C6⋊3(C4.4D4) = C2×C23.12D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6:3(C4.4D4)192,1356
C6⋊4(C4.4D4) = C2×C12.23D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6:4(C4.4D4)192,1373

Non-split extensions G=N.Q with N=C6 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C6.1(C4.4D4) = (C2×C4).17D12φ: C4.4D4/C42 → C2 ⊆ Aut C6192C6.1(C4.4D4)192,218
C6.2(C4.4D4) = C6.C22≀C2φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.2(C4.4D4)192,231
C6.3(C4.4D4) = (C2×C4).21D12φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.3(C4.4D4)192,233
C6.4(C4.4D4) = C12.14Q16φ: C4.4D4/C42 → C2 ⊆ Aut C6192C6.4(C4.4D4)192,240
C6.5(C4.4D4) = C4.5D24φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.5(C4.4D4)192,253
C6.6(C4.4D4) = C42.264D6φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.6(C4.4D4)192,256
C6.7(C4.4D4) = C42.14D6φ: C4.4D4/C42 → C2 ⊆ Aut C6192C6.7(C4.4D4)192,262
C6.8(C4.4D4) = C42.19D6φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.8(C4.4D4)192,272
C6.9(C4.4D4) = C42.20D6φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.9(C4.4D4)192,273
C6.10(C4.4D4) = (C2×Dic6)⋊7C4φ: C4.4D4/C42 → C2 ⊆ Aut C6192C6.10(C4.4D4)192,488
C6.11(C4.4D4) = C42⋊11Dic3φ: C4.4D4/C42 → C2 ⊆ Aut C6192C6.11(C4.4D4)192,495
C6.12(C4.4D4) = (C2×C4)⋊6D12φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.12(C4.4D4)192,498
C6.13(C4.4D4) = (C2×C42)⋊3S3φ: C4.4D4/C42 → C2 ⊆ Aut C696C6.13(C4.4D4)192,499
C6.14(C4.4D4) = (C2×C12)⋊Q8φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C6192C6.14(C4.4D4)192,205
C6.15(C4.4D4) = C3⋊(C42⋊8C4)φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C6192C6.15(C4.4D4)192,209
C6.16(C4.4D4) = (C2×Dic3).9D4φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C6192C6.16(C4.4D4)192,217
C6.17(C4.4D4) = (C2×C4).Dic6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C6192C6.17(C4.4D4)192,219
C6.18(C4.4D4) = D6⋊C4⋊5C4φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.18(C4.4D4)192,228
C6.19(C4.4D4) = D6⋊C4⋊3C4φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.19(C4.4D4)192,229
C6.20(C4.4D4) = (C22×S3)⋊Q8φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.20(C4.4D4)192,232
C6.21(C4.4D4) = C6.(C4⋊D4)φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.21(C4.4D4)192,234
C6.22(C4.4D4) = Dic3.SD16φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.22(C4.4D4)192,319
C6.23(C4.4D4) = C4⋊C4.D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.23(C4.4D4)192,323
C6.24(C4.4D4) = C12⋊Q8⋊C2φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.24(C4.4D4)192,324
C6.25(C4.4D4) = (C2×C8).200D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.25(C4.4D4)192,327
C6.26(C4.4D4) = Dic3.1Q16φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C6192C6.26(C4.4D4)192,351
C6.27(C4.4D4) = (C2×C8).D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.27(C4.4D4)192,353
C6.28(C4.4D4) = (C2×Q8).36D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C6192C6.28(C4.4D4)192,356
C6.29(C4.4D4) = Q8⋊C4⋊S3φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.29(C4.4D4)192,359
C6.30(C4.4D4) = C24.14D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.30(C4.4D4)192,503
C6.31(C4.4D4) = C23⋊2Dic6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.31(C4.4D4)192,506
C6.32(C4.4D4) = C24.19D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.32(C4.4D4)192,510
C6.33(C4.4D4) = C24.20D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.33(C4.4D4)192,511
C6.34(C4.4D4) = C24.24D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.34(C4.4D4)192,516
C6.35(C4.4D4) = C24.25D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.35(C4.4D4)192,518
C6.36(C4.4D4) = C24.27D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C696C6.36(C4.4D4)192,520
C6.37(C4.4D4) = C24.15D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.37(C4.4D4)192,504
C6.38(C4.4D4) = C24.21D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.38(C4.4D4)192,512
C6.39(C4.4D4) = C4.(D6⋊C4)φ: C4.4D4/C2×D4 → C2 ⊆ Aut C6192C6.39(C4.4D4)192,532
C6.40(C4.4D4) = (C2×C12).288D4φ: C4.4D4/C2×D4 → C2 ⊆ Aut C6192C6.40(C4.4D4)192,544
C6.41(C4.4D4) = C42.62D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.41(C4.4D4)192,614
C6.42(C4.4D4) = C42.213D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.42(C4.4D4)192,615
C6.43(C4.4D4) = C12.16D8φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.43(C4.4D4)192,629
C6.44(C4.4D4) = C42.72D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.44(C4.4D4)192,630
C6.45(C4.4D4) = C12.9Q16φ: C4.4D4/C2×D4 → C2 ⊆ Aut C6192C6.45(C4.4D4)192,638
C6.46(C4.4D4) = C42.77D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C6192C6.46(C4.4D4)192,641
C6.47(C4.4D4) = C24.30D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.47(C4.4D4)192,780
C6.48(C4.4D4) = C24.31D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C696C6.48(C4.4D4)192,781
C6.49(C4.4D4) = (C4×Dic3)⋊9C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C6192C6.49(C4.4D4)192,536
C6.50(C4.4D4) = (C2×C12).55D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C6192C6.50(C4.4D4)192,545
C6.51(C4.4D4) = (C2×D12)⋊10C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.51(C4.4D4)192,547
C6.52(C4.4D4) = D6⋊C4⋊7C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.52(C4.4D4)192,549
C6.53(C4.4D4) = (C2×C4)⋊3D12φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.53(C4.4D4)192,550
C6.54(C4.4D4) = (C2×C12).289D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.54(C4.4D4)192,551
C6.55(C4.4D4) = C42.70D6φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.55(C4.4D4)192,626
C6.56(C4.4D4) = C42.216D6φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.56(C4.4D4)192,627
C6.57(C4.4D4) = C42.71D6φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C6192C6.57(C4.4D4)192,628
C6.58(C4.4D4) = C12.D8φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.58(C4.4D4)192,647
C6.59(C4.4D4) = C42.82D6φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.59(C4.4D4)192,648
C6.60(C4.4D4) = C12.Q16φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C6192C6.60(C4.4D4)192,652
C6.61(C4.4D4) = (C6×Q8)⋊7C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C6192C6.61(C4.4D4)192,788
C6.62(C4.4D4) = (C22×Q8)⋊9S3φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C696C6.62(C4.4D4)192,790
C6.63(C4.4D4) = C3×C42⋊8C4central extension (φ=1)192C6.63(C4.4D4)192,815
C6.64(C4.4D4) = C3×C24.C22central extension (φ=1)96C6.64(C4.4D4)192,821
C6.65(C4.4D4) = C3×C24.3C22central extension (φ=1)96C6.65(C4.4D4)192,823
C6.66(C4.4D4) = C3×C23.67C23central extension (φ=1)192C6.66(C4.4D4)192,824
C6.67(C4.4D4) = C3×C23⋊Q8central extension (φ=1)96C6.67(C4.4D4)192,826
C6.68(C4.4D4) = C3×C23.10D4central extension (φ=1)96C6.68(C4.4D4)192,827
C6.69(C4.4D4) = C3×C23.11D4central extension (φ=1)96C6.69(C4.4D4)192,830
C6.70(C4.4D4) = C3×C23.83C23central extension (φ=1)192C6.70(C4.4D4)192,833
C6.71(C4.4D4) = C3×C4.4D8central extension (φ=1)96C6.71(C4.4D4)192,919
C6.72(C4.4D4) = C3×C4.SD16central extension (φ=1)192C6.72(C4.4D4)192,920
C6.73(C4.4D4) = C3×C42.78C22central extension (φ=1)96C6.73(C4.4D4)192,921
C6.74(C4.4D4) = C3×C42.28C22central extension (φ=1)96C6.74(C4.4D4)192,922
C6.75(C4.4D4) = C3×C42.29C22central extension (φ=1)96C6.75(C4.4D4)192,923
C6.76(C4.4D4) = C3×C42.30C22central extension (φ=1)192C6.76(C4.4D4)192,924

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