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Extensions 1→N→G→Q→1 with N=C14 and Q=C22xC6

Direct product G=NxQ with N=C14 and Q=C22xC6
dρLabelID
C23xC42336C2^3xC42336,228

Semidirect products G=N:Q with N=C14 and Q=C22xC6
extensionφ:Q→Aut NdρLabelID
C14:(C22xC6) = C23xF7φ: C22xC6/C22 → C6 ⊆ Aut C1456C14:(C2^2xC6)336,216
C14:2(C22xC6) = C24xC7:C3φ: C22xC6/C23 → C3 ⊆ Aut C14112C14:2(C2^2xC6)336,220
C14:3(C22xC6) = D7xC22xC6φ: C22xC6/C2xC6 → C2 ⊆ Aut C14168C14:3(C2^2xC6)336,225

Non-split extensions G=N.Q with N=C14 and Q=C22xC6
extensionφ:Q→Aut NdρLabelID
C14.1(C22xC6) = C2xC4.F7φ: C22xC6/C22 → C6 ⊆ Aut C14112C14.1(C2^2xC6)336,121
C14.2(C22xC6) = C2xC4xF7φ: C22xC6/C22 → C6 ⊆ Aut C1456C14.2(C2^2xC6)336,122
C14.3(C22xC6) = C2xC4:F7φ: C22xC6/C22 → C6 ⊆ Aut C1456C14.3(C2^2xC6)336,123
C14.4(C22xC6) = D28:6C6φ: C22xC6/C22 → C6 ⊆ Aut C14566C14.4(C2^2xC6)336,124
C14.5(C22xC6) = D4xF7φ: C22xC6/C22 → C6 ⊆ Aut C142812+C14.5(C2^2xC6)336,125
C14.6(C22xC6) = D4:2F7φ: C22xC6/C22 → C6 ⊆ Aut C145612-C14.6(C2^2xC6)336,126
C14.7(C22xC6) = Q8xF7φ: C22xC6/C22 → C6 ⊆ Aut C145612-C14.7(C2^2xC6)336,127
C14.8(C22xC6) = Q8:3F7φ: C22xC6/C22 → C6 ⊆ Aut C145612+C14.8(C2^2xC6)336,128
C14.9(C22xC6) = C22xC7:C12φ: C22xC6/C22 → C6 ⊆ Aut C14112C14.9(C2^2xC6)336,129
C14.10(C22xC6) = C2xDic7:C6φ: C22xC6/C22 → C6 ⊆ Aut C1456C14.10(C2^2xC6)336,130
C14.11(C22xC6) = C22xC4xC7:C3φ: C22xC6/C23 → C3 ⊆ Aut C14112C14.11(C2^2xC6)336,164
C14.12(C22xC6) = C2xD4xC7:C3φ: C22xC6/C23 → C3 ⊆ Aut C1456C14.12(C2^2xC6)336,165
C14.13(C22xC6) = C2xQ8xC7:C3φ: C22xC6/C23 → C3 ⊆ Aut C14112C14.13(C2^2xC6)336,166
C14.14(C22xC6) = C4oD4xC7:C3φ: C22xC6/C23 → C3 ⊆ Aut C14566C14.14(C2^2xC6)336,167
C14.15(C22xC6) = C6xDic14φ: C22xC6/C2xC6 → C2 ⊆ Aut C14336C14.15(C2^2xC6)336,174
C14.16(C22xC6) = D7xC2xC12φ: C22xC6/C2xC6 → C2 ⊆ Aut C14168C14.16(C2^2xC6)336,175
C14.17(C22xC6) = C6xD28φ: C22xC6/C2xC6 → C2 ⊆ Aut C14168C14.17(C2^2xC6)336,176
C14.18(C22xC6) = C3xC4oD28φ: C22xC6/C2xC6 → C2 ⊆ Aut C141682C14.18(C2^2xC6)336,177
C14.19(C22xC6) = C3xD4xD7φ: C22xC6/C2xC6 → C2 ⊆ Aut C14844C14.19(C2^2xC6)336,178
C14.20(C22xC6) = C3xD4:2D7φ: C22xC6/C2xC6 → C2 ⊆ Aut C141684C14.20(C2^2xC6)336,179
C14.21(C22xC6) = C3xQ8xD7φ: C22xC6/C2xC6 → C2 ⊆ Aut C141684C14.21(C2^2xC6)336,180
C14.22(C22xC6) = C3xQ8:2D7φ: C22xC6/C2xC6 → C2 ⊆ Aut C141684C14.22(C2^2xC6)336,181
C14.23(C22xC6) = C2xC6xDic7φ: C22xC6/C2xC6 → C2 ⊆ Aut C14336C14.23(C2^2xC6)336,182
C14.24(C22xC6) = C6xC7:D4φ: C22xC6/C2xC6 → C2 ⊆ Aut C14168C14.24(C2^2xC6)336,183
C14.25(C22xC6) = D4xC42central extension (φ=1)168C14.25(C2^2xC6)336,205
C14.26(C22xC6) = Q8xC42central extension (φ=1)336C14.26(C2^2xC6)336,206
C14.27(C22xC6) = C4oD4xC21central extension (φ=1)1682C14.27(C2^2xC6)336,207

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