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Extensions 1→N→G→Q→1 with N=C14 and Q=C4⋊Q8

Direct product G=N×Q with N=C14 and Q=C4⋊Q8
dρLabelID
C14×C4⋊Q8448C14xC4:Q8448,1314

Semidirect products G=N:Q with N=C14 and Q=C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4⋊Q8) = C2×C28⋊2Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14:1(C4:Q8)448,921
C14⋊2(C4⋊Q8) = C2×C28⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14:2(C4:Q8)448,950
C14⋊3(C4⋊Q8) = C2×Dic7⋊Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14:3(C4:Q8)448,1263

Non-split extensions G=N.Q with N=C14 and Q=C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C14.1(C4⋊Q8) = C14.(C4⋊Q8)φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.1(C4:Q8)448,195
C14.2(C4⋊Q8) = C56⋊9Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.2(C4:Q8)448,214
C14.3(C4⋊Q8) = C56⋊8Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.3(C4:Q8)448,216
C14.4(C4⋊Q8) = C56.13Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.4(C4:Q8)448,217
C14.5(C4⋊Q8) = C8⋊Dic14φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.5(C4:Q8)448,236
C14.6(C4⋊Q8) = C28⋊4(C4⋊C4)φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.6(C4:Q8)448,462
C14.7(C4⋊Q8) = (C2×C28)⋊10Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.7(C4:Q8)448,463
C14.8(C4⋊Q8) = C42⋊8Dic7φ: C4⋊Q8/C42 → C2 ⊆ Aut C14448C14.8(C4:Q8)448,469
C14.9(C4⋊Q8) = (C2×C28)⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.9(C4:Q8)448,180
C14.10(C4⋊Q8) = C14.(C4×Q8)φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.10(C4:Q8)448,181
C14.11(C4⋊Q8) = (C2×Dic7)⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.11(C4:Q8)448,190
C14.12(C4⋊Q8) = C2.(C28⋊Q8)φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.12(C4:Q8)448,191
C14.13(C4⋊Q8) = C56⋊5Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.13(C4:Q8)448,389
C14.14(C4⋊Q8) = C56⋊3Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.14(C4:Q8)448,390
C14.15(C4⋊Q8) = C56.8Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.15(C4:Q8)448,392
C14.16(C4⋊Q8) = C56⋊2Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.16(C4:Q8)448,408
C14.17(C4⋊Q8) = C56⋊4Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.17(C4:Q8)448,410
C14.18(C4⋊Q8) = C56.4Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.18(C4:Q8)448,412
C14.19(C4⋊Q8) = C28⋊(C4⋊C4)φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.19(C4:Q8)448,507
C14.20(C4⋊Q8) = (C4×Dic7)⋊8C4φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.20(C4:Q8)448,510
C14.21(C4⋊Q8) = (C2×C4)⋊Dic14φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.21(C4:Q8)448,513
C14.22(C4⋊Q8) = (C2×C28).54D4φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.22(C4:Q8)448,518
C14.23(C4⋊Q8) = C4⋊(C4⋊Dic7)φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.23(C4:Q8)448,519
C14.24(C4⋊Q8) = Dic7⋊(C4⋊C4)φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.24(C4:Q8)448,506
C14.25(C4⋊Q8) = (C2×Dic7)⋊6Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.25(C4:Q8)448,508
C14.26(C4⋊Q8) = (C2×C28).287D4φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.26(C4:Q8)448,514
C14.27(C4⋊Q8) = (C2×C4).44D28φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.27(C4:Q8)448,517
C14.28(C4⋊Q8) = C42.215D14φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.28(C4:Q8)448,598
C14.29(C4⋊Q8) = C42.68D14φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.29(C4:Q8)448,599
C14.30(C4⋊Q8) = C28.17D8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.30(C4:Q8)448,612
C14.31(C4⋊Q8) = C28.SD16φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.31(C4:Q8)448,613
C14.32(C4⋊Q8) = C42.76D14φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.32(C4:Q8)448,614
C14.33(C4⋊Q8) = C14.C22≀C2φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.33(C4:Q8)448,763
C14.34(C4⋊Q8) = (Q8×C14)⋊7C4φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.34(C4:Q8)448,764
C14.35(C4⋊Q8) = C7×C42⋊9C4central extension (φ=1)448C14.35(C4:Q8)448,792
C14.36(C4⋊Q8) = C7×C23.65C23central extension (φ=1)448C14.36(C4:Q8)448,797
C14.37(C4⋊Q8) = C7×C23.67C23central extension (φ=1)448C14.37(C4:Q8)448,799
C14.38(C4⋊Q8) = C7×C23.78C23central extension (φ=1)448C14.38(C4:Q8)448,803
C14.39(C4⋊Q8) = C7×C23.81C23central extension (φ=1)448C14.39(C4:Q8)448,806
C14.40(C4⋊Q8) = C7×C8⋊3Q8central extension (φ=1)448C14.40(C4:Q8)448,906
C14.41(C4⋊Q8) = C7×C8.5Q8central extension (φ=1)448C14.41(C4:Q8)448,907
C14.42(C4⋊Q8) = C7×C8⋊2Q8central extension (φ=1)448C14.42(C4:Q8)448,908
C14.43(C4⋊Q8) = C7×C8⋊Q8central extension (φ=1)448C14.43(C4:Q8)448,909

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