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

Direct product G=N×Q with N=C14 and Q=C2.C42
dρLabelID
C14×C2.C42448C14xC2.C4^2448,783

Semidirect products G=N:Q with N=C14 and Q=C2.C42
extensionφ:Q→Aut NdρLabelID
C14⋊(C2.C42) = C2×C14.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14448C14:(C2.C4^2)448,742

Non-split extensions G=N.Q with N=C14 and Q=C2.C42
extensionφ:Q→Aut NdρLabelID
C14.1(C2.C42) = C28.8C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14112C14.1(C2.C4^2)448,80
C14.2(C2.C42) = (C2×C28)⋊3C8φ: C2.C42/C22×C4 → C2 ⊆ Aut C14448C14.2(C2.C4^2)448,81
C14.3(C2.C42) = C24.D14φ: C2.C42/C22×C4 → C2 ⊆ Aut C14112C14.3(C2.C4^2)448,83
C14.4(C2.C42) = C24.2D14φ: C2.C42/C22×C4 → C2 ⊆ Aut C14112C14.4(C2.C4^2)448,84
C14.5(C2.C42) = C28.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14448C14.5(C2.C4^2)448,86
C14.6(C2.C42) = C28.(C4⋊C4)φ: C2.C42/C22×C4 → C2 ⊆ Aut C14224C14.6(C2.C4^2)448,87
C14.7(C2.C42) = C42⋊Dic7φ: C2.C42/C22×C4 → C2 ⊆ Aut C141124C14.7(C2.C4^2)448,88
C14.8(C2.C42) = C28.2C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14112C14.8(C2.C4^2)448,89
C14.9(C2.C42) = (C2×C28).Q8φ: C2.C42/C22×C4 → C2 ⊆ Aut C141124C14.9(C2.C4^2)448,90
C14.10(C2.C42) = (C2×C56)⋊5C4φ: C2.C42/C22×C4 → C2 ⊆ Aut C14448C14.10(C2.C4^2)448,107
C14.11(C2.C42) = C28.9C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14448C14.11(C2.C4^2)448,108
C14.12(C2.C42) = C28.10C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14224C14.12(C2.C4^2)448,109
C14.13(C2.C42) = M4(2)⋊Dic7φ: C2.C42/C22×C4 → C2 ⊆ Aut C14224C14.13(C2.C4^2)448,111
C14.14(C2.C42) = C28.3C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14112C14.14(C2.C4^2)448,112
C14.15(C2.C42) = (C2×C56)⋊C4φ: C2.C42/C22×C4 → C2 ⊆ Aut C141124C14.15(C2.C4^2)448,113
C14.16(C2.C42) = C23.9D28φ: C2.C42/C22×C4 → C2 ⊆ Aut C141124C14.16(C2.C4^2)448,114
C14.17(C2.C42) = C28.4C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C14224C14.17(C2.C4^2)448,115
C14.18(C2.C42) = M4(2)⋊4Dic7φ: C2.C42/C22×C4 → C2 ⊆ Aut C141124C14.18(C2.C4^2)448,116
C14.19(C2.C42) = C28.21C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C141124C14.19(C2.C4^2)448,117
C14.20(C2.C42) = C7×C22.7C42central extension (φ=1)448C14.20(C2.C4^2)448,140
C14.21(C2.C42) = C7×C4.9C42central extension (φ=1)1124C14.21(C2.C4^2)448,141
C14.22(C2.C42) = C7×C4.10C42central extension (φ=1)1124C14.22(C2.C4^2)448,142
C14.23(C2.C42) = C7×C42⋊6C4central extension (φ=1)112C14.23(C2.C4^2)448,143
C14.24(C2.C42) = C7×C22.4Q16central extension (φ=1)448C14.24(C2.C4^2)448,144
C14.25(C2.C42) = C7×C4.C42central extension (φ=1)224C14.25(C2.C4^2)448,145
C14.26(C2.C42) = C7×C23.9D4central extension (φ=1)112C14.26(C2.C4^2)448,146
C14.27(C2.C42) = C7×C22.C42central extension (φ=1)224C14.27(C2.C4^2)448,147
C14.28(C2.C42) = C7×M4(2)⋊4C4central extension (φ=1)1124C14.28(C2.C4^2)448,148

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