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

Direct product G=N×Q with N=C14 and Q=C4⋊1D4
dρLabelID
C14×C4⋊1D4224C14xC4:1D4448,1313

Semidirect products G=N:Q with N=C14 and Q=C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4⋊1D4) = C2×C28⋊4D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14:1(C4:1D4)448,928
C14⋊2(C4⋊1D4) = C2×C28⋊D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14:2(C4:1D4)448,1256

Non-split extensions G=N.Q with N=C14 and Q=C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C14.1(C4⋊1D4) = (C2×C28)⋊5D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.1(C4:1D4)448,205
C14.2(C4⋊1D4) = (C2×C28).33D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.2(C4:1D4)448,211
C14.3(C4⋊1D4) = C8⋊5D28φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.3(C4:1D4)448,227
C14.4(C4⋊1D4) = C28⋊4D8φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.4(C4:1D4)448,229
C14.5(C4⋊1D4) = C8.8D28φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.5(C4:1D4)448,230
C14.6(C4⋊1D4) = C28⋊4Q16φ: C4⋊1D4/C42 → C2 ⊆ Aut C14448C14.6(C4:1D4)448,233
C14.7(C4⋊1D4) = C8⋊D28φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.7(C4:1D4)448,246
C14.8(C4⋊1D4) = C8.D28φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.8(C4:1D4)448,249
C14.9(C4⋊1D4) = C42⋊8Dic7φ: C4⋊1D4/C42 → C2 ⊆ Aut C14448C14.9(C4:1D4)448,469
C14.10(C4⋊1D4) = (C2×C4)⋊6D28φ: C4⋊1D4/C42 → C2 ⊆ Aut C14224C14.10(C4:1D4)448,473
C14.11(C4⋊1D4) = C24.7D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.11(C4:1D4)448,483
C14.12(C4⋊1D4) = C24.13D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.12(C4:1D4)448,491
C14.13(C4⋊1D4) = C23⋊2D28φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.13(C4:1D4)448,494
C14.14(C4⋊1D4) = (C4×Dic7)⋊8C4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14448C14.14(C4:1D4)448,510
C14.15(C4⋊1D4) = (C2×D28)⋊10C4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.15(C4:1D4)448,522
C14.16(C4⋊1D4) = (C2×C28).289D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.16(C4:1D4)448,526
C14.17(C4⋊1D4) = C42.64D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.17(C4:1D4)448,592
C14.18(C4⋊1D4) = C42.214D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.18(C4:1D4)448,593
C14.19(C4⋊1D4) = C42.65D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.19(C4:1D4)448,594
C14.20(C4⋊1D4) = C28⋊D8φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.20(C4:1D4)448,607
C14.21(C4⋊1D4) = C42.74D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.21(C4:1D4)448,608
C14.22(C4⋊1D4) = C28⋊4SD16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.22(C4:1D4)448,610
C14.23(C4⋊1D4) = C28⋊6SD16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.23(C4:1D4)448,619
C14.24(C4⋊1D4) = C42.80D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.24(C4:1D4)448,620
C14.25(C4⋊1D4) = C28⋊3Q16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14448C14.25(C4:1D4)448,626
C14.26(C4⋊1D4) = C56⋊5D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.26(C4:1D4)448,685
C14.27(C4⋊1D4) = C56⋊11D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.27(C4:1D4)448,688
C14.28(C4⋊1D4) = C56.22D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.28(C4:1D4)448,689
C14.29(C4⋊1D4) = C56.31D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.29(C4:1D4)448,701
C14.30(C4⋊1D4) = C56.43D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.30(C4:1D4)448,702
C14.31(C4⋊1D4) = C56⋊15D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.31(C4:1D4)448,709
C14.32(C4⋊1D4) = C56⋊9D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.32(C4:1D4)448,710
C14.33(C4⋊1D4) = C56.26D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14448C14.33(C4:1D4)448,715
C14.34(C4⋊1D4) = C56.37D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.34(C4:1D4)448,724
C14.35(C4⋊1D4) = C56.28D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.35(C4:1D4)448,725
C14.36(C4⋊1D4) = C24.19D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.36(C4:1D4)448,755
C14.37(C4⋊1D4) = C24.21D14φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C14224C14.37(C4:1D4)448,757
C14.38(C4⋊1D4) = C7×C42⋊9C4central extension (φ=1)448C14.38(C4:1D4)448,792
C14.39(C4⋊1D4) = C7×C24.3C22central extension (φ=1)224C14.39(C4:1D4)448,798
C14.40(C4⋊1D4) = C7×C23⋊2D4central extension (φ=1)224C14.40(C4:1D4)448,800
C14.41(C4⋊1D4) = C7×C23.4Q8central extension (φ=1)224C14.41(C4:1D4)448,807
C14.42(C4⋊1D4) = C7×C8⋊5D4central extension (φ=1)224C14.42(C4:1D4)448,900
C14.43(C4⋊1D4) = C7×C8⋊4D4central extension (φ=1)224C14.43(C4:1D4)448,901
C14.44(C4⋊1D4) = C7×C4⋊Q16central extension (φ=1)448C14.44(C4:1D4)448,902
C14.45(C4⋊1D4) = C7×C8.12D4central extension (φ=1)224C14.45(C4:1D4)448,903
C14.46(C4⋊1D4) = C7×C8⋊3D4central extension (φ=1)224C14.46(C4:1D4)448,904
C14.47(C4⋊1D4) = C7×C8.2D4central extension (φ=1)224C14.47(C4:1D4)448,905

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