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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
C14×C22⋊C8224C14xC2^2:C8448,814

Semidirect products G=N:Q with N=C14 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C22⋊C8) = C2×D14⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14224C14:1(C2^2:C8)448,642
C14⋊2(C22⋊C8) = C2×C28.55D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C14224C14:2(C2^2:C8)448,740

Non-split extensions G=N.Q with N=C14 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C14.1(C22⋊C8) = C4.8Dic28φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14448C14.1(C2^2:C8)448,13
C14.2(C22⋊C8) = C4.17D56φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14224C14.2(C2^2:C8)448,16
C14.3(C22⋊C8) = (C22×D7)⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14112C14.3(C2^2:C8)448,25
C14.4(C22⋊C8) = (C2×Dic7)⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14224C14.4(C2^2:C8)448,26
C14.5(C22⋊C8) = D28⋊2C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14224C14.5(C2^2:C8)448,40
C14.6(C22⋊C8) = Dic14⋊2C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14448C14.6(C2^2:C8)448,41
C14.7(C22⋊C8) = D14⋊C16φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14224C14.7(C2^2:C8)448,64
C14.8(C22⋊C8) = D28.C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C142242C14.8(C2^2:C8)448,65
C14.9(C22⋊C8) = M5(2)⋊D7φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C141124C14.9(C2^2:C8)448,71
C14.10(C22⋊C8) = Dic14.C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C142244C14.10(C2^2:C8)448,72
C14.11(C22⋊C8) = (C2×C56)⋊5C4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C14448C14.11(C2^2:C8)448,107
C14.12(C22⋊C8) = (C2×C28)⋊3C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C14448C14.12(C2^2:C8)448,81
C14.13(C22⋊C8) = C24.Dic7φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C14112C14.13(C2^2:C8)448,82
C14.14(C22⋊C8) = (C2×C28)⋊C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C14224C14.14(C2^2:C8)448,85
C14.15(C22⋊C8) = C28.57D8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C14224C14.15(C2^2:C8)448,91
C14.16(C22⋊C8) = C28.26Q16φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C14448C14.16(C2^2:C8)448,92
C14.17(C22⋊C8) = C56.91D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C14224C14.17(C2^2:C8)448,106
C14.18(C22⋊C8) = C56.D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C141124C14.18(C2^2:C8)448,110
C14.19(C22⋊C8) = C56.92D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C142244C14.19(C2^2:C8)448,118
C14.20(C22⋊C8) = C7×C23⋊C8central extension (φ=1)112C14.20(C2^2:C8)448,127
C14.21(C22⋊C8) = C7×C22.M4(2)central extension (φ=1)224C14.21(C2^2:C8)448,128
C14.22(C22⋊C8) = C7×D4⋊C8central extension (φ=1)224C14.22(C2^2:C8)448,129
C14.23(C22⋊C8) = C7×Q8⋊C8central extension (φ=1)448C14.23(C2^2:C8)448,130
C14.24(C22⋊C8) = C7×C22.7C42central extension (φ=1)448C14.24(C2^2:C8)448,140
C14.25(C22⋊C8) = C7×C22⋊C16central extension (φ=1)224C14.25(C2^2:C8)448,152
C14.26(C22⋊C8) = C7×C23.C8central extension (φ=1)1124C14.26(C2^2:C8)448,153
C14.27(C22⋊C8) = C7×D4.C8central extension (φ=1)2242C14.27(C2^2:C8)448,154

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