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Extensions 1→N→G→Q→1 with N=C4 and Q=D14⋊C4

Direct product G=N×Q with N=C4 and Q=D14⋊C4
dρLabelID
C4×D14⋊C4224C4xD14:C4448,472

Semidirect products G=N:Q with N=C4 and Q=D14⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊1(D14⋊C4) = (C2×D28)⋊10C4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4224C4:1(D14:C4)448,522
C4⋊2(D14⋊C4) = (C2×C4)⋊6D28φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4224C4:2(D14:C4)448,473
C4⋊3(D14⋊C4) = C4⋊(D14⋊C4)φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C4224C4:3(D14:C4)448,521

Non-split extensions G=N.Q with N=C4 and Q=D14⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(D14⋊C4) = D56⋊8C4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C41124C4.1(D14:C4)448,45
C4.2(D14⋊C4) = C14.D16φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4224C4.2(D14:C4)448,48
C4.3(D14⋊C4) = C56.6D4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4448C4.3(D14:C4)448,49
C4.4(D14⋊C4) = D56.C4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C41124+C4.4(D14:C4)448,52
C4.5(D14⋊C4) = C56.8D4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C42244-C4.5(D14:C4)448,53
C4.6(D14⋊C4) = Dic28.C4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C42244C4.6(D14:C4)448,54
C4.7(D14⋊C4) = C2×C14.D8φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4224C4.7(D14:C4)448,499
C4.8(D14⋊C4) = C2×C14.Q16φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4448C4.8(D14:C4)448,503
C4.9(D14⋊C4) = (C2×Dic7)⋊6Q8φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4448C4.9(D14:C4)448,508
C4.10(D14⋊C4) = C42⋊4D14φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C41124C4.10(D14:C4)448,539
C4.11(D14⋊C4) = C23.46D28φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4224C4.11(D14:C4)448,654
C4.12(D14⋊C4) = (C2×D28).14C4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4224C4.12(D14:C4)448,663
C4.13(D14⋊C4) = C23.48D28φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4112C4.13(D14:C4)448,665
C4.14(D14⋊C4) = C2×D28⋊4C4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C4112C4.14(D14:C4)448,672
C4.15(D14⋊C4) = C56.78D4φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.15(D14:C4)448,60
C4.16(D14⋊C4) = C2.D112φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.16(D14:C4)448,66
C4.17(D14⋊C4) = D56.1C4φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C42242C4.17(D14:C4)448,67
C4.18(D14⋊C4) = C28.3D8φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C41124+C4.18(D14:C4)448,73
C4.19(D14⋊C4) = C28.4D8φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C42244-C4.19(D14:C4)448,74
C4.20(D14⋊C4) = D56⋊2C4φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C41124C4.20(D14:C4)448,75
C4.21(D14⋊C4) = C2×Dic14⋊C4φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4112C4.21(D14:C4)448,461
C4.22(D14⋊C4) = (C2×C28)⋊10Q8φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.22(D14:C4)448,463
C4.23(D14⋊C4) = C4⋊C4⋊36D14φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4112C4.23(D14:C4)448,535
C4.24(D14⋊C4) = (C2×C4).47D28φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.24(D14:C4)448,538
C4.25(D14⋊C4) = C2×C28.44D4φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.25(D14:C4)448,637
C4.26(D14⋊C4) = (C22×C8)⋊D7φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.26(D14:C4)448,644
C4.27(D14⋊C4) = C2×C2.D56φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.27(D14:C4)448,646
C4.28(D14⋊C4) = C2×C28.46D4φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4112C4.28(D14:C4)448,664
C4.29(D14⋊C4) = C2×C4.12D28φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.29(D14:C4)448,670
C4.30(D14⋊C4) = C23.20D28φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C41124C4.30(D14:C4)448,673
C4.31(D14⋊C4) = C28.C42φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C4448C4.31(D14:C4)448,86
C4.32(D14⋊C4) = C28.(C4⋊C4)φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C4224C4.32(D14:C4)448,87
C4.33(D14⋊C4) = C42⋊Dic7φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C41124C4.33(D14:C4)448,88
C4.34(D14⋊C4) = M4(2)⋊Dic7φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C4224C4.34(D14:C4)448,111
C4.35(D14⋊C4) = (C2×C56)⋊C4φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C41124C4.35(D14:C4)448,113
C4.36(D14⋊C4) = C28.21C42φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C41124C4.36(D14:C4)448,117
C4.37(D14⋊C4) = C4○D28⋊C4φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C4224C4.37(D14:C4)448,500
C4.38(D14⋊C4) = D14⋊6M4(2)φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C4112C4.38(D14:C4)448,660
C4.39(D14⋊C4) = C23.49D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C4224C4.39(D14:C4)448,667
C4.40(D14⋊C4) = D14⋊C16central extension (φ=1)224C4.40(D14:C4)448,64
C4.41(D14⋊C4) = D28.C8central extension (φ=1)2242C4.41(D14:C4)448,65
C4.42(D14⋊C4) = M5(2)⋊D7central extension (φ=1)1124C4.42(D14:C4)448,71
C4.43(D14⋊C4) = Dic14.C8central extension (φ=1)2244C4.43(D14:C4)448,72
C4.44(D14⋊C4) = C28.8C42central extension (φ=1)112C4.44(D14:C4)448,80
C4.45(D14⋊C4) = (C2×C28)⋊3C8central extension (φ=1)448C4.45(D14:C4)448,81
C4.46(D14⋊C4) = C28.2C42central extension (φ=1)112C4.46(D14:C4)448,89
C4.47(D14⋊C4) = (C2×C28).Q8central extension (φ=1)1124C4.47(D14:C4)448,90
C4.48(D14⋊C4) = (C2×C56)⋊5C4central extension (φ=1)448C4.48(D14:C4)448,107
C4.49(D14⋊C4) = C28.10C42central extension (φ=1)224C4.49(D14:C4)448,109
C4.50(D14⋊C4) = C28.4C42central extension (φ=1)224C4.50(D14:C4)448,115
C4.51(D14⋊C4) = M4(2)⋊4Dic7central extension (φ=1)1124C4.51(D14:C4)448,116
C4.52(D14⋊C4) = C4.(C2×D28)central extension (φ=1)224C4.52(D14:C4)448,536
C4.53(D14⋊C4) = (C2×D28)⋊13C4central extension (φ=1)1124C4.53(D14:C4)448,540
C4.54(D14⋊C4) = C2×D14⋊C8central extension (φ=1)224C4.54(D14:C4)448,642
C4.55(D14⋊C4) = C23.23D28central extension (φ=1)224C4.55(D14:C4)448,647
C4.56(D14⋊C4) = M4(2).31D14central extension (φ=1)1124C4.56(D14:C4)448,666

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