# 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.C2448C14xC4^2.C2448,1310

Semidirect products G=N:Q with N=C14 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C141(C42.C2) = C2×C28.6Q8φ: C42.C2/C42C2 ⊆ Aut C14448C14:1(C4^2.C2)448,922
C142(C42.C2) = C2×Dic7.Q8φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14:2(C4^2.C2)448,951
C143(C42.C2) = C2×C28.3Q8φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14:3(C4^2.C2)448,952

Non-split extensions G=N.Q with N=C14 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C14.1(C42.C2) = (C2×C4).Dic14φ: C42.C2/C42C2 ⊆ Aut C14448C14.1(C4^2.C2)448,194
C14.2(C42.C2) = C284(C4⋊C4)φ: C42.C2/C42C2 ⊆ Aut C14448C14.2(C4^2.C2)448,462
C14.3(C42.C2) = (C2×C42).D7φ: C42.C2/C42C2 ⊆ Aut C14448C14.3(C4^2.C2)448,467
C14.4(C42.C2) = C429Dic7φ: C42.C2/C42C2 ⊆ Aut C14448C14.4(C4^2.C2)448,470
C14.5(C42.C2) = C14.(C4×Q8)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.5(C4^2.C2)448,181
C14.6(C42.C2) = C7⋊(C428C4)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.6(C4^2.C2)448,184
C14.7(C42.C2) = Dic7⋊C4⋊C4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.7(C4^2.C2)448,186
C14.8(C42.C2) = C4⋊Dic77C4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.8(C4^2.C2)448,187
C14.9(C42.C2) = C4⋊Dic78C4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.9(C4^2.C2)448,188
C14.10(C42.C2) = C14.(C4×D4)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.10(C4^2.C2)448,189
C14.11(C42.C2) = C2.(C28⋊Q8)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.11(C4^2.C2)448,191
C14.12(C42.C2) = (C2×Dic7).Q8φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.12(C4^2.C2)448,192
C14.13(C42.C2) = (C2×C28).28D4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.13(C4^2.C2)448,193
C14.14(C42.C2) = C14.(C4⋊Q8)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.14(C4^2.C2)448,195
C14.15(C42.C2) = Dic7⋊(C4⋊C4)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.15(C4^2.C2)448,506
C14.16(C42.C2) = C28⋊(C4⋊C4)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.16(C4^2.C2)448,507
C14.17(C42.C2) = (C4×Dic7)⋊9C4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.17(C4^2.C2)448,511
C14.18(C42.C2) = C22.23(Q8×D7)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.18(C4^2.C2)448,512
C14.19(C42.C2) = (C2×C28).287D4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.19(C4^2.C2)448,514
C14.20(C42.C2) = C4⋊C45Dic7φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.20(C4^2.C2)448,515
C14.21(C42.C2) = (C2×C28).288D4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.21(C4^2.C2)448,516
C14.22(C42.C2) = (C2×C4).44D28φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.22(C4^2.C2)448,517
C14.23(C42.C2) = (C2×C28).54D4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.23(C4^2.C2)448,518
C14.24(C42.C2) = C4⋊(C4⋊Dic7)φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.24(C4^2.C2)448,519
C14.25(C42.C2) = (C2×C28).55D4φ: C42.C2/C4⋊C4C2 ⊆ Aut C14448C14.25(C4^2.C2)448,520
C14.26(C42.C2) = C7×C428C4central extension (φ=1)448C14.26(C4^2.C2)448,790
C14.27(C42.C2) = C7×C23.63C23central extension (φ=1)448C14.27(C4^2.C2)448,795
C14.28(C42.C2) = C7×C23.65C23central extension (φ=1)448C14.28(C4^2.C2)448,797
C14.29(C42.C2) = C7×C23.81C23central extension (φ=1)448C14.29(C4^2.C2)448,806
C14.30(C42.C2) = C7×C23.83C23central extension (φ=1)448C14.30(C4^2.C2)448,808

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