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Extensions 1→N→G→Q→1 with N=C14 and Q=C22×C4

Direct product G=N×Q with N=C14 and Q=C22×C4
dρLabelID
C23×C28224C2^3xC28224,189

Semidirect products G=N:Q with N=C14 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C22×C4) = D7×C22×C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14:1(C2^2xC4)224,175
C14⋊2(C22×C4) = C23×Dic7φ: C22×C4/C23 → C2 ⊆ Aut C14224C14:2(C2^2xC4)224,187

Non-split extensions G=N.Q with N=C14 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C14.1(C22×C4) = C4×Dic14φ: C22×C4/C2×C4 → C2 ⊆ Aut C14224C14.1(C2^2xC4)224,63
C14.2(C22×C4) = D7×C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.2(C2^2xC4)224,66
C14.3(C22×C4) = C42⋊D7φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.3(C2^2xC4)224,67
C14.4(C22×C4) = C4×D28φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.4(C2^2xC4)224,68
C14.5(C22×C4) = C23.11D14φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.5(C2^2xC4)224,72
C14.6(C22×C4) = D7×C22⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1456C14.6(C2^2xC4)224,75
C14.7(C22×C4) = Dic7⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.7(C2^2xC4)224,76
C14.8(C22×C4) = Dic7⋊3Q8φ: C22×C4/C2×C4 → C2 ⊆ Aut C14224C14.8(C2^2xC4)224,82
C14.9(C22×C4) = D7×C4⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.9(C2^2xC4)224,86
C14.10(C22×C4) = C4⋊C4⋊7D7φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.10(C2^2xC4)224,87
C14.11(C22×C4) = D28⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.11(C2^2xC4)224,88
C14.12(C22×C4) = D7×C2×C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.12(C2^2xC4)224,94
C14.13(C22×C4) = C2×C8⋊D7φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.13(C2^2xC4)224,95
C14.14(C22×C4) = D28.2C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C141122C14.14(C2^2xC4)224,96
C14.15(C22×C4) = D7×M4(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C14564C14.15(C2^2xC4)224,101
C14.16(C22×C4) = D28.C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C141124C14.16(C2^2xC4)224,102
C14.17(C22×C4) = C2×Dic7⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C14224C14.17(C2^2xC4)224,118
C14.18(C22×C4) = C2×D14⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.18(C2^2xC4)224,122
C14.19(C22×C4) = C4×C7⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C14112C14.19(C2^2xC4)224,123
C14.20(C22×C4) = C22×C7⋊C8φ: C22×C4/C23 → C2 ⊆ Aut C14224C14.20(C2^2xC4)224,115
C14.21(C22×C4) = C2×C4.Dic7φ: C22×C4/C23 → C2 ⊆ Aut C14112C14.21(C2^2xC4)224,116
C14.22(C22×C4) = C2×C4×Dic7φ: C22×C4/C23 → C2 ⊆ Aut C14224C14.22(C2^2xC4)224,117
C14.23(C22×C4) = C2×C4⋊Dic7φ: C22×C4/C23 → C2 ⊆ Aut C14224C14.23(C2^2xC4)224,120
C14.24(C22×C4) = C23.21D14φ: C22×C4/C23 → C2 ⊆ Aut C14112C14.24(C2^2xC4)224,121
C14.25(C22×C4) = D4×Dic7φ: C22×C4/C23 → C2 ⊆ Aut C14112C14.25(C2^2xC4)224,129
C14.26(C22×C4) = Q8×Dic7φ: C22×C4/C23 → C2 ⊆ Aut C14224C14.26(C2^2xC4)224,140
C14.27(C22×C4) = Q8.Dic7φ: C22×C4/C23 → C2 ⊆ Aut C141124C14.27(C2^2xC4)224,143
C14.28(C22×C4) = C2×C23.D7φ: C22×C4/C23 → C2 ⊆ Aut C14112C14.28(C2^2xC4)224,147
C14.29(C22×C4) = C14×C22⋊C4central extension (φ=1)112C14.29(C2^2xC4)224,150
C14.30(C22×C4) = C14×C4⋊C4central extension (φ=1)224C14.30(C2^2xC4)224,151
C14.31(C22×C4) = C7×C42⋊C2central extension (φ=1)112C14.31(C2^2xC4)224,152
C14.32(C22×C4) = D4×C28central extension (φ=1)112C14.32(C2^2xC4)224,153
C14.33(C22×C4) = Q8×C28central extension (φ=1)224C14.33(C2^2xC4)224,154
C14.34(C22×C4) = C14×M4(2)central extension (φ=1)112C14.34(C2^2xC4)224,165
C14.35(C22×C4) = C7×C8○D4central extension (φ=1)1122C14.35(C2^2xC4)224,166

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