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Extensions 1→N→G→Q→1 with N=C14 and Q=C42⋊C2

Direct product G=N×Q with N=C14 and Q=C42⋊C2
dρLabelID
C14×C42⋊C2224C14xC4^2:C2448,1297

Semidirect products G=N:Q with N=C14 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C14⋊1(C42⋊C2) = C2×C42⋊D7φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14:1(C4^2:C2)448,925
C14⋊2(C42⋊C2) = C2×C23.11D14φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14:2(C4^2:C2)448,933
C14⋊3(C42⋊C2) = C2×C4⋊C4⋊7D7φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14:3(C4^2:C2)448,955
C14⋊4(C42⋊C2) = C2×C23.21D14φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14:4(C4^2:C2)448,1239

Non-split extensions G=N.Q with N=C14 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C14.1(C42⋊C2) = C7⋊(C42⋊8C4)φ: C42⋊C2/C42 → C2 ⊆ Aut C14448C14.1(C4^2:C2)448,184
C14.2(C42⋊C2) = C7⋊(C42⋊5C4)φ: C42⋊C2/C42 → C2 ⊆ Aut C14448C14.2(C4^2:C2)448,185
C14.3(C42⋊C2) = Dic7⋊C4⋊C4φ: C42⋊C2/C42 → C2 ⊆ Aut C14448C14.3(C4^2:C2)448,186
C14.4(C42⋊C2) = C22.58(D4×D7)φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.4(C4^2:C2)448,198
C14.5(C42⋊C2) = D14⋊(C4⋊C4)φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.5(C4^2:C2)448,201
C14.6(C42⋊C2) = D14⋊C4⋊5C4φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.6(C4^2:C2)448,203
C14.7(C42⋊C2) = C42.282D14φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.7(C4^2:C2)448,219
C14.8(C42⋊C2) = C42.243D14φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.8(C4^2:C2)448,224
C14.9(C42⋊C2) = C42.182D14φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.9(C4^2:C2)448,239
C14.10(C42⋊C2) = C42.185D14φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.10(C4^2:C2)448,243
C14.11(C42⋊C2) = C4×Dic7⋊C4φ: C42⋊C2/C42 → C2 ⊆ Aut C14448C14.11(C4^2:C2)448,465
C14.12(C42⋊C2) = C42⋊4Dic7φ: C42⋊C2/C42 → C2 ⊆ Aut C14448C14.12(C4^2:C2)448,466
C14.13(C42⋊C2) = (C2×C42).D7φ: C42⋊C2/C42 → C2 ⊆ Aut C14448C14.13(C4^2:C2)448,467
C14.14(C42⋊C2) = C4×D14⋊C4φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.14(C4^2:C2)448,472
C14.15(C42⋊C2) = (C2×C42)⋊D7φ: C42⋊C2/C42 → C2 ⊆ Aut C14224C14.15(C4^2:C2)448,474
C14.16(C42⋊C2) = Dic7.5C42φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14448C14.16(C4^2:C2)448,182
C14.17(C42⋊C2) = Dic7⋊C42φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14448C14.17(C4^2:C2)448,183
C14.18(C42⋊C2) = C4⋊Dic7⋊7C4φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14448C14.18(C4^2:C2)448,187
C14.19(C42⋊C2) = C4⋊Dic7⋊8C4φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14448C14.19(C4^2:C2)448,188
C14.20(C42⋊C2) = Dic7.5M4(2)φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.20(C4^2:C2)448,252
C14.21(C42⋊C2) = Dic7.M4(2)φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.21(C4^2:C2)448,253
C14.22(C42⋊C2) = C56⋊C4⋊C2φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.22(C4^2:C2)448,254
C14.23(C42⋊C2) = C22⋊C4×Dic7φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.23(C4^2:C2)448,475
C14.24(C42⋊C2) = C24.44D14φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.24(C4^2:C2)448,476
C14.25(C42⋊C2) = C23.42D28φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.25(C4^2:C2)448,477
C14.26(C42⋊C2) = C24.3D14φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.26(C4^2:C2)448,478
C14.27(C42⋊C2) = C24.4D14φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C14224C14.27(C4^2:C2)448,479
C14.28(C42⋊C2) = C14.(C4×D4)φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14448C14.28(C4^2:C2)448,189
C14.29(C42⋊C2) = D14⋊C42φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14.29(C4^2:C2)448,200
C14.30(C42⋊C2) = C2.(C4×D28)φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14.30(C4^2:C2)448,204
C14.31(C42⋊C2) = C42.200D14φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14.31(C4^2:C2)448,367
C14.32(C42⋊C2) = C42.202D14φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14.32(C4^2:C2)448,369
C14.33(C42⋊C2) = C42.31D14φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14.33(C4^2:C2)448,374
C14.34(C42⋊C2) = C4⋊C4×Dic7φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14448C14.34(C4^2:C2)448,509
C14.35(C42⋊C2) = (C4×Dic7)⋊9C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14448C14.35(C4^2:C2)448,511
C14.36(C42⋊C2) = C22.23(Q8×D7)φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14448C14.36(C4^2:C2)448,512
C14.37(C42⋊C2) = C4⋊(D14⋊C4)φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14.37(C4^2:C2)448,521
C14.38(C42⋊C2) = D14⋊C4⋊7C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C14224C14.38(C4^2:C2)448,524
C14.39(C42⋊C2) = C42.6Dic7φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14.39(C4^2:C2)448,459
C14.40(C42⋊C2) = C42.7Dic7φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14.40(C4^2:C2)448,460
C14.41(C42⋊C2) = C4×C4⋊Dic7φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14448C14.41(C4^2:C2)448,468
C14.42(C42⋊C2) = C42⋊9Dic7φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14448C14.42(C4^2:C2)448,470
C14.43(C42⋊C2) = C42⋊5Dic7φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14448C14.43(C4^2:C2)448,471
C14.44(C42⋊C2) = C24.8D14φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14.44(C4^2:C2)448,485
C14.45(C42⋊C2) = C4⋊C4⋊5Dic7φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14448C14.45(C4^2:C2)448,515
C14.46(C42⋊C2) = C42.187D14φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14.46(C4^2:C2)448,534
C14.47(C42⋊C2) = C4×C23.D7φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14.47(C4^2:C2)448,743
C14.48(C42⋊C2) = C24.63D14φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14.48(C4^2:C2)448,745
C14.49(C42⋊C2) = C23.27D28φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C14224C14.49(C4^2:C2)448,746
C14.50(C42⋊C2) = C7×C42⋊4C4central extension (φ=1)448C14.50(C4^2:C2)448,784
C14.51(C42⋊C2) = C22⋊C4×C28central extension (φ=1)224C14.51(C4^2:C2)448,785
C14.52(C42⋊C2) = C4⋊C4×C28central extension (φ=1)448C14.52(C4^2:C2)448,786
C14.53(C42⋊C2) = C7×C23.7Q8central extension (φ=1)224C14.53(C4^2:C2)448,788
C14.54(C42⋊C2) = C7×C23.34D4central extension (φ=1)224C14.54(C4^2:C2)448,789
C14.55(C42⋊C2) = C7×C42⋊8C4central extension (φ=1)448C14.55(C4^2:C2)448,790
C14.56(C42⋊C2) = C7×C42⋊5C4central extension (φ=1)448C14.56(C4^2:C2)448,791
C14.57(C42⋊C2) = C7×C23.63C23central extension (φ=1)448C14.57(C4^2:C2)448,795
C14.58(C42⋊C2) = C7×C24.C22central extension (φ=1)224C14.58(C4^2:C2)448,796
C14.59(C42⋊C2) = C7×C42.12C4central extension (φ=1)224C14.59(C4^2:C2)448,839
C14.60(C42⋊C2) = C7×C42.6C4central extension (φ=1)224C14.60(C4^2:C2)448,840
C14.61(C42⋊C2) = C7×C42.7C22central extension (φ=1)224C14.61(C4^2:C2)448,841

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