# Extensions 1→N→G→Q→1 with N=C14 and Q=C22×C8

Direct product G=N×Q with N=C14 and Q=C22×C8
dρLabelID
C23×C56448C2^3xC56448,1348

Semidirect products G=N:Q with N=C14 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C141(C22×C8) = D7×C22×C8φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14:1(C2^2xC8)448,1189
C142(C22×C8) = C23×C7⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C14448C14:2(C2^2xC8)448,1233

Non-split extensions G=N.Q with N=C14 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C14.1(C22×C8) = C8×Dic14φ: C22×C8/C2×C8C2 ⊆ Aut C14448C14.1(C2^2xC8)448,212
C14.2(C22×C8) = D7×C4×C8φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.2(C2^2xC8)448,218
C14.3(C22×C8) = C42.282D14φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.3(C2^2xC8)448,219
C14.4(C22×C8) = C8×D28φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.4(C2^2xC8)448,220
C14.5(C22×C8) = Dic7.5M4(2)φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.5(C2^2xC8)448,252
C14.6(C22×C8) = D7×C22⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C14112C14.6(C2^2xC8)448,258
C14.7(C22×C8) = C7⋊D4⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.7(C2^2xC8)448,259
C14.8(C22×C8) = Dic14⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C14448C14.8(C2^2xC8)448,364
C14.9(C22×C8) = D7×C4⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.9(C2^2xC8)448,366
C14.10(C22×C8) = C42.200D14φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.10(C2^2xC8)448,367
C14.11(C22×C8) = D28⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.11(C2^2xC8)448,368
C14.12(C22×C8) = D7×C2×C16φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.12(C2^2xC8)448,433
C14.13(C22×C8) = C2×C16⋊D7φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.13(C2^2xC8)448,434
C14.14(C22×C8) = D28.4C8φ: C22×C8/C2×C8C2 ⊆ Aut C142242C14.14(C2^2xC8)448,435
C14.15(C22×C8) = D7×M5(2)φ: C22×C8/C2×C8C2 ⊆ Aut C141124C14.15(C2^2xC8)448,440
C14.16(C22×C8) = C16.12D14φ: C22×C8/C2×C8C2 ⊆ Aut C142244C14.16(C2^2xC8)448,441
C14.17(C22×C8) = C2×C8×Dic7φ: C22×C8/C2×C8C2 ⊆ Aut C14448C14.17(C2^2xC8)448,632
C14.18(C22×C8) = C2×Dic7⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C14448C14.18(C2^2xC8)448,633
C14.19(C22×C8) = C2×D14⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.19(C2^2xC8)448,642
C14.20(C22×C8) = C8×C7⋊D4φ: C22×C8/C2×C8C2 ⊆ Aut C14224C14.20(C2^2xC8)448,643
C14.21(C22×C8) = C2×C4×C7⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C14448C14.21(C2^2xC8)448,454
C14.22(C22×C8) = C2×C28⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C14448C14.22(C2^2xC8)448,457
C14.23(C22×C8) = C42.6Dic7φ: C22×C8/C22×C4C2 ⊆ Aut C14224C14.23(C2^2xC8)448,459
C14.24(C22×C8) = D4×C7⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C14224C14.24(C2^2xC8)448,544
C14.25(C22×C8) = Q8×C7⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C14448C14.25(C2^2xC8)448,557
C14.26(C22×C8) = C22×C7⋊C16φ: C22×C8/C22×C4C2 ⊆ Aut C14448C14.26(C2^2xC8)448,630
C14.27(C22×C8) = C2×C28.C8φ: C22×C8/C22×C4C2 ⊆ Aut C14224C14.27(C2^2xC8)448,631
C14.28(C22×C8) = C56.70C23φ: C22×C8/C22×C4C2 ⊆ Aut C142244C14.28(C2^2xC8)448,674
C14.29(C22×C8) = C2×C28.55D4φ: C22×C8/C22×C4C2 ⊆ Aut C14224C14.29(C2^2xC8)448,740
C14.30(C22×C8) = C14×C22⋊C8central extension (φ=1)224C14.30(C2^2xC8)448,814
C14.31(C22×C8) = C14×C4⋊C8central extension (φ=1)448C14.31(C2^2xC8)448,830
C14.32(C22×C8) = C7×C42.12C4central extension (φ=1)224C14.32(C2^2xC8)448,839
C14.33(C22×C8) = D4×C56central extension (φ=1)224C14.33(C2^2xC8)448,842
C14.34(C22×C8) = Q8×C56central extension (φ=1)448C14.34(C2^2xC8)448,853
C14.35(C22×C8) = C14×M5(2)central extension (φ=1)224C14.35(C2^2xC8)448,911
C14.36(C22×C8) = C7×D4○C16central extension (φ=1)2242C14.36(C2^2xC8)448,912

׿
×
𝔽