# Extensions 1→N→G→Q→1 with N=D14 and Q=C22×C4

Direct product G=N×Q with N=D14 and Q=C22×C4
dρLabelID
D7×C23×C4224D7xC2^3xC4448,1366

Semidirect products G=N:Q with N=D14 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
D141(C22×C4) = C2×C4×D28φ: C22×C4/C2×C4C2 ⊆ Out D14224D14:1(C2^2xC4)448,926
D142(C22×C4) = C2×Dic74D4φ: C22×C4/C2×C4C2 ⊆ Out D14224D14:2(C2^2xC4)448,938
D143(C22×C4) = C2×D28⋊C4φ: C22×C4/C2×C4C2 ⊆ Out D14224D14:3(C2^2xC4)448,956
D144(C22×C4) = C4×D4×D7φ: C22×C4/C2×C4C2 ⊆ Out D14112D14:4(C2^2xC4)448,997
D145(C22×C4) = C2×C4×C7⋊D4φ: C22×C4/C2×C4C2 ⊆ Out D14224D14:5(C2^2xC4)448,1241
D146(C22×C4) = C2×D7×C22⋊C4φ: C22×C4/C23C2 ⊆ Out D14112D14:6(C2^2xC4)448,937
D147(C22×C4) = C22×D14⋊C4φ: C22×C4/C23C2 ⊆ Out D14224D14:7(C2^2xC4)448,1240

Non-split extensions G=N.Q with N=D14 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
D14.1(C22×C4) = C4×C4○D28φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.1(C2^2xC4)448,927
D14.2(C22×C4) = C24.24D14φ: C22×C4/C2×C4C2 ⊆ Out D14112D14.2(C2^2xC4)448,939
D14.3(C22×C4) = C14.82+ 1+4φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.3(C2^2xC4)448,957
D14.4(C22×C4) = C427D14φ: C22×C4/C2×C4C2 ⊆ Out D14112D14.4(C2^2xC4)448,974
D14.5(C22×C4) = C42.188D14φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.5(C2^2xC4)448,975
D14.6(C22×C4) = C42.91D14φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.6(C2^2xC4)448,976
D14.7(C22×C4) = C4×D42D7φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.7(C2^2xC4)448,989
D14.8(C22×C4) = C4211D14φ: C22×C4/C2×C4C2 ⊆ Out D14112D14.8(C2^2xC4)448,998
D14.9(C22×C4) = C42.108D14φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.9(C2^2xC4)448,999
D14.10(C22×C4) = C4×Q82D7φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.10(C2^2xC4)448,1026
D14.11(C22×C4) = C42.126D14φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.11(C2^2xC4)448,1027
D14.12(C22×C4) = C2×D28.2C4φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.12(C2^2xC4)448,1191
D14.13(C22×C4) = C2×D28.C4φ: C22×C4/C2×C4C2 ⊆ Out D14224D14.13(C2^2xC4)448,1197
D14.14(C22×C4) = C28.70C24φ: C22×C4/C2×C4C2 ⊆ Out D141124D14.14(C2^2xC4)448,1198
D14.15(C22×C4) = D7×C8○D4φ: C22×C4/C2×C4C2 ⊆ Out D141124D14.15(C2^2xC4)448,1202
D14.16(C22×C4) = C56.49C23φ: C22×C4/C2×C4C2 ⊆ Out D141124D14.16(C2^2xC4)448,1203
D14.17(C22×C4) = C2×C42⋊D7φ: C22×C4/C23C2 ⊆ Out D14224D14.17(C2^2xC4)448,925
D14.18(C22×C4) = C2×C4⋊C47D7φ: C22×C4/C23C2 ⊆ Out D14224D14.18(C2^2xC4)448,955
D14.19(C22×C4) = C42.125D14φ: C22×C4/C23C2 ⊆ Out D14224D14.19(C2^2xC4)448,1025
D14.20(C22×C4) = C22×C8⋊D7φ: C22×C4/C23C2 ⊆ Out D14224D14.20(C2^2xC4)448,1190
D14.21(C22×C4) = D7×C2×C42φ: trivial image224D14.21(C2^2xC4)448,924
D14.22(C22×C4) = C2×D7×C4⋊C4φ: trivial image224D14.22(C2^2xC4)448,954
D14.23(C22×C4) = D7×C42⋊C2φ: trivial image112D14.23(C2^2xC4)448,973
D14.24(C22×C4) = C4×Q8×D7φ: trivial image224D14.24(C2^2xC4)448,1024
D14.25(C22×C4) = D7×C22×C8φ: trivial image224D14.25(C2^2xC4)448,1189
D14.26(C22×C4) = C2×D7×M4(2)φ: trivial image112D14.26(C2^2xC4)448,1196

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