Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C14 and Q=C4.4D4

Direct product G=N×Q with N=C14 and Q=C4.4D4
dρLabelID
C14×C4.4D4224C14xC4.4D4448,1309

Semidirect products G=N:Q with N=C14 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4.4D4) = C2×C4.D28φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14:1(C4.4D4)448,929
C14⋊2(C4.4D4) = C2×Dic7.D4φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14:2(C4.4D4)448,944
C14⋊3(C4.4D4) = C2×C28.17D4φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14:3(C4.4D4)448,1250
C14⋊4(C4.4D4) = C2×C28.23D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14:4(C4.4D4)448,1267

Non-split extensions G=N.Q with N=C14 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C14.1(C4.4D4) = (C2×C28).28D4φ: C4.4D4/C42 → C2 ⊆ Aut C14448C14.1(C4.4D4)448,193
C14.2(C4.4D4) = (C2×Dic7)⋊3D4φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.2(C4.4D4)448,206
C14.3(C4.4D4) = (C2×C4).21D28φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.3(C4.4D4)448,208
C14.4(C4.4D4) = C28.14Q16φ: C4.4D4/C42 → C2 ⊆ Aut C14448C14.4(C4.4D4)448,215
C14.5(C4.4D4) = C4.5D56φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.5(C4.4D4)448,228
C14.6(C4.4D4) = C42.264D14φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.6(C4.4D4)448,231
C14.7(C4.4D4) = C42.14D14φ: C4.4D4/C42 → C2 ⊆ Aut C14448C14.7(C4.4D4)448,237
C14.8(C4.4D4) = C42.19D14φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.8(C4.4D4)448,247
C14.9(C4.4D4) = C42.20D14φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.9(C4.4D4)448,248
C14.10(C4.4D4) = (C2×C28)⋊10Q8φ: C4.4D4/C42 → C2 ⊆ Aut C14448C14.10(C4.4D4)448,463
C14.11(C4.4D4) = C42⋊9Dic7φ: C4.4D4/C42 → C2 ⊆ Aut C14448C14.11(C4.4D4)448,470
C14.12(C4.4D4) = (C2×C4)⋊6D28φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.12(C4.4D4)448,473
C14.13(C4.4D4) = (C2×C42)⋊D7φ: C4.4D4/C42 → C2 ⊆ Aut C14224C14.13(C4.4D4)448,474
C14.14(C4.4D4) = (C2×C28)⋊Q8φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14448C14.14(C4.4D4)448,180
C14.15(C4.4D4) = C7⋊(C42⋊8C4)φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14448C14.15(C4.4D4)448,184
C14.16(C4.4D4) = (C2×Dic7).Q8φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14448C14.16(C4.4D4)448,192
C14.17(C4.4D4) = (C2×C4).Dic14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14448C14.17(C4.4D4)448,194
C14.18(C4.4D4) = D14⋊C4⋊5C4φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.18(C4.4D4)448,203
C14.19(C4.4D4) = C2.(C4×D28)φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.19(C4.4D4)448,204
C14.20(C4.4D4) = (C2×C4).20D28φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.20(C4.4D4)448,207
C14.21(C4.4D4) = (C22×D7).9D4φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.21(C4.4D4)448,209
C14.22(C4.4D4) = Dic7.SD16φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.22(C4.4D4)448,294
C14.23(C4.4D4) = C4⋊C4.D14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.23(C4.4D4)448,298
C14.24(C4.4D4) = C28⋊Q8⋊C2φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.24(C4.4D4)448,299
C14.25(C4.4D4) = (C8×Dic7)⋊C2φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.25(C4.4D4)448,302
C14.26(C4.4D4) = Dic7.1Q16φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14448C14.26(C4.4D4)448,326
C14.27(C4.4D4) = Q8⋊C4⋊D7φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.27(C4.4D4)448,329
C14.28(C4.4D4) = C56⋊C4.C2φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14448C14.28(C4.4D4)448,331
C14.29(C4.4D4) = Q8⋊Dic7⋊C2φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.29(C4.4D4)448,334
C14.30(C4.4D4) = C24.3D14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.30(C4.4D4)448,478
C14.31(C4.4D4) = C23⋊Dic14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.31(C4.4D4)448,481
C14.32(C4.4D4) = C24.8D14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.32(C4.4D4)448,485
C14.33(C4.4D4) = C24.9D14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.33(C4.4D4)448,486
C14.34(C4.4D4) = C24.13D14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.34(C4.4D4)448,491
C14.35(C4.4D4) = C24.14D14φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.35(C4.4D4)448,493
C14.36(C4.4D4) = C23.16D28φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C14224C14.36(C4.4D4)448,495
C14.37(C4.4D4) = C24.4D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.37(C4.4D4)448,479
C14.38(C4.4D4) = C24.10D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.38(C4.4D4)448,487
C14.39(C4.4D4) = (C2×Dic7)⋊6Q8φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14448C14.39(C4.4D4)448,508
C14.40(C4.4D4) = (C2×C28).288D4φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14448C14.40(C4.4D4)448,516
C14.41(C4.4D4) = C42.62D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.41(C4.4D4)448,589
C14.42(C4.4D4) = C42.213D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.42(C4.4D4)448,590
C14.43(C4.4D4) = C28.16D8φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.43(C4.4D4)448,604
C14.44(C4.4D4) = C42.72D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.44(C4.4D4)448,605
C14.45(C4.4D4) = C28.Q16φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14448C14.45(C4.4D4)448,615
C14.46(C4.4D4) = C42.77D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14448C14.46(C4.4D4)448,616
C14.47(C4.4D4) = C24.19D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.47(C4.4D4)448,755
C14.48(C4.4D4) = C24.20D14φ: C4.4D4/C2×D4 → C2 ⊆ Aut C14224C14.48(C4.4D4)448,756
C14.49(C4.4D4) = (C4×Dic7)⋊9C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14448C14.49(C4.4D4)448,511
C14.50(C4.4D4) = (C2×C28).55D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14448C14.50(C4.4D4)448,520
C14.51(C4.4D4) = (C2×D28)⋊10C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.51(C4.4D4)448,522
C14.52(C4.4D4) = D14⋊C4⋊7C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.52(C4.4D4)448,524
C14.53(C4.4D4) = (C2×C4)⋊3D28φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.53(C4.4D4)448,525
C14.54(C4.4D4) = (C2×C28).290D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.54(C4.4D4)448,527
C14.55(C4.4D4) = C42.70D14φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.55(C4.4D4)448,601
C14.56(C4.4D4) = C42.216D14φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.56(C4.4D4)448,602
C14.57(C4.4D4) = C42.71D14φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14448C14.57(C4.4D4)448,603
C14.58(C4.4D4) = C28.D8φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.58(C4.4D4)448,622
C14.59(C4.4D4) = C42.82D14φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.59(C4.4D4)448,623
C14.60(C4.4D4) = C28.11Q16φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14448C14.60(C4.4D4)448,627
C14.61(C4.4D4) = (Q8×C14)⋊7C4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14448C14.61(C4.4D4)448,764
C14.62(C4.4D4) = (C22×Q8)⋊D7φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C14224C14.62(C4.4D4)448,765
C14.63(C4.4D4) = C7×C42⋊8C4central extension (φ=1)448C14.63(C4.4D4)448,790
C14.64(C4.4D4) = C7×C24.C22central extension (φ=1)224C14.64(C4.4D4)448,796
C14.65(C4.4D4) = C7×C24.3C22central extension (φ=1)224C14.65(C4.4D4)448,798
C14.66(C4.4D4) = C7×C23.67C23central extension (φ=1)448C14.66(C4.4D4)448,799
C14.67(C4.4D4) = C7×C23⋊Q8central extension (φ=1)224C14.67(C4.4D4)448,801
C14.68(C4.4D4) = C7×C23.10D4central extension (φ=1)224C14.68(C4.4D4)448,802
C14.69(C4.4D4) = C7×C23.11D4central extension (φ=1)224C14.69(C4.4D4)448,805
C14.70(C4.4D4) = C7×C23.83C23central extension (φ=1)448C14.70(C4.4D4)448,808
C14.71(C4.4D4) = C7×C4.4D8central extension (φ=1)224C14.71(C4.4D4)448,894
C14.72(C4.4D4) = C7×C4.SD16central extension (φ=1)448C14.72(C4.4D4)448,895
C14.73(C4.4D4) = C7×C42.78C22central extension (φ=1)224C14.73(C4.4D4)448,896
C14.74(C4.4D4) = C7×C42.28C22central extension (φ=1)224C14.74(C4.4D4)448,897
C14.75(C4.4D4) = C7×C42.29C22central extension (φ=1)224C14.75(C4.4D4)448,898
C14.76(C4.4D4) = C7×C42.30C22central extension (φ=1)448C14.76(C4.4D4)448,899

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁