Extensions 1→N→G→Q→1 with N=C14 and Q=C42⋊2C2

Direct product G=N×Q with N=C14 and Q=C422C2
dρLabelID
C14×C422C2224C14xC4^2:2C2448,1311

Semidirect products G=N:Q with N=C14 and Q=C422C2
extensionφ:Q→Aut NdρLabelID
C141(C422C2) = C2×C422D7φ: C422C2/C42C2 ⊆ Aut C14224C14:1(C4^2:2C2)448,931
C142(C422C2) = C2×C23.D14φ: C422C2/C22⋊C4C2 ⊆ Aut C14224C14:2(C4^2:2C2)448,935
C143(C422C2) = C2×C4⋊C4⋊D7φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14:3(C4^2:2C2)448,965

Non-split extensions G=N.Q with N=C14 and Q=C422C2
extensionφ:Q→Aut NdρLabelID
C14.1(C422C2) = (C2×Dic7).Q8φ: C422C2/C42C2 ⊆ Aut C14448C14.1(C4^2:2C2)448,192
C14.2(C422C2) = (C22×D7).Q8φ: C422C2/C42C2 ⊆ Aut C14224C14.2(C4^2:2C2)448,210
C14.3(C422C2) = (C2×C42).D7φ: C422C2/C42C2 ⊆ Aut C14448C14.3(C4^2:2C2)448,467
C14.4(C422C2) = C425Dic7φ: C422C2/C42C2 ⊆ Aut C14448C14.4(C4^2:2C2)448,471
C14.5(C422C2) = (C2×C42)⋊D7φ: C422C2/C42C2 ⊆ Aut C14224C14.5(C4^2:2C2)448,474
C14.6(C422C2) = C7⋊(C425C4)φ: C422C2/C22⋊C4C2 ⊆ Aut C14448C14.6(C4^2:2C2)448,185
C14.7(C422C2) = Dic7⋊C4⋊C4φ: C422C2/C22⋊C4C2 ⊆ Aut C14448C14.7(C4^2:2C2)448,186
C14.8(C422C2) = C4⋊Dic77C4φ: C422C2/C22⋊C4C2 ⊆ Aut C14448C14.8(C4^2:2C2)448,187
C14.9(C422C2) = C14.(C4×D4)φ: C422C2/C22⋊C4C2 ⊆ Aut C14448C14.9(C4^2:2C2)448,189
C14.10(C422C2) = (C2×C28).28D4φ: C422C2/C22⋊C4C2 ⊆ Aut C14448C14.10(C4^2:2C2)448,193
C14.11(C422C2) = C24.3D14φ: C422C2/C22⋊C4C2 ⊆ Aut C14224C14.11(C4^2:2C2)448,478
C14.12(C422C2) = C24.4D14φ: C422C2/C22⋊C4C2 ⊆ Aut C14224C14.12(C4^2:2C2)448,479
C14.13(C422C2) = C24.6D14φ: C422C2/C22⋊C4C2 ⊆ Aut C14224C14.13(C4^2:2C2)448,482
C14.14(C422C2) = C24.8D14φ: C422C2/C22⋊C4C2 ⊆ Aut C14224C14.14(C4^2:2C2)448,485
C14.15(C422C2) = C24.9D14φ: C422C2/C22⋊C4C2 ⊆ Aut C14224C14.15(C4^2:2C2)448,486
C14.16(C422C2) = C24.10D14φ: C422C2/C22⋊C4C2 ⊆ Aut C14224C14.16(C4^2:2C2)448,487
C14.17(C422C2) = C4⋊Dic78C4φ: C422C2/C4⋊C4C2 ⊆ Aut C14448C14.17(C4^2:2C2)448,188
C14.18(C422C2) = (C2×C4).Dic14φ: C422C2/C4⋊C4C2 ⊆ Aut C14448C14.18(C4^2:2C2)448,194
C14.19(C422C2) = (C22×C4).D14φ: C422C2/C4⋊C4C2 ⊆ Aut C14448C14.19(C4^2:2C2)448,196
C14.20(C422C2) = D14⋊C45C4φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14.20(C4^2:2C2)448,203
C14.21(C422C2) = C2.(C4×D28)φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14.21(C4^2:2C2)448,204
C14.22(C422C2) = (C2×C4).21D28φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14.22(C4^2:2C2)448,208
C14.23(C422C2) = (C22×D7).9D4φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14.23(C4^2:2C2)448,209
C14.24(C422C2) = C22.23(Q8×D7)φ: C422C2/C4⋊C4C2 ⊆ Aut C14448C14.24(C4^2:2C2)448,512
C14.25(C422C2) = C4⋊C45Dic7φ: C422C2/C4⋊C4C2 ⊆ Aut C14448C14.25(C4^2:2C2)448,515
C14.26(C422C2) = (C2×C28).288D4φ: C422C2/C4⋊C4C2 ⊆ Aut C14448C14.26(C4^2:2C2)448,516
C14.27(C422C2) = (C2×C28).55D4φ: C422C2/C4⋊C4C2 ⊆ Aut C14448C14.27(C4^2:2C2)448,520
C14.28(C422C2) = D14⋊C47C4φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14.28(C4^2:2C2)448,524
C14.29(C422C2) = (C2×C28).290D4φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14.29(C4^2:2C2)448,527
C14.30(C422C2) = (C2×C4).45D28φ: C422C2/C4⋊C4C2 ⊆ Aut C14224C14.30(C4^2:2C2)448,528
C14.31(C422C2) = C7×C425C4central extension (φ=1)448C14.31(C4^2:2C2)448,791
C14.32(C422C2) = C7×C23.63C23central extension (φ=1)448C14.32(C4^2:2C2)448,795
C14.33(C422C2) = C7×C24.C22central extension (φ=1)224C14.33(C4^2:2C2)448,796
C14.34(C422C2) = C7×C23.Q8central extension (φ=1)224C14.34(C4^2:2C2)448,804
C14.35(C422C2) = C7×C23.11D4central extension (φ=1)224C14.35(C4^2:2C2)448,805
C14.36(C422C2) = C7×C23.83C23central extension (φ=1)448C14.36(C4^2:2C2)448,808
C14.37(C422C2) = C7×C23.84C23central extension (φ=1)448C14.37(C4^2:2C2)448,809

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