Extensions 1→N→G→Q→1 with N=C14 and Q=C4wrC2

Direct product G=NxQ with N=C14 and Q=C4wrC2
dρLabelID
C14xC4wrC2112C14xC4wrC2448,828

Semidirect products G=N:Q with N=C14 and Q=C4wrC2
extensionφ:Q→Aut NdρLabelID
C14:1C4wrC2 = C2xDic14:C4φ: C4wrC2/C42C2 ⊆ Aut C14112C14:1C4wrC2448,461
C14:2C4wrC2 = C2xD28:4C4φ: C4wrC2/M4(2)C2 ⊆ Aut C14112C14:2C4wrC2448,672
C14:3C4wrC2 = C2xD4:2Dic7φ: C4wrC2/C4oD4C2 ⊆ Aut C14112C14:3C4wrC2448,769

Non-split extensions G=N.Q with N=C14 and Q=C4wrC2
extensionφ:Q→Aut NdρLabelID
C14.1C4wrC2 = C14.C4wrC2φ: C4wrC2/C42C2 ⊆ Aut C14112C14.1C4wrC2448,8
C14.2C4wrC2 = C4:Dic7:C4φ: C4wrC2/C42C2 ⊆ Aut C14112C14.2C4wrC2448,9
C14.3C4wrC2 = C4.8Dic28φ: C4wrC2/C42C2 ⊆ Aut C14448C14.3C4wrC2448,13
C14.4C4wrC2 = C4.17D56φ: C4wrC2/C42C2 ⊆ Aut C14224C14.4C4wrC2448,16
C14.5C4wrC2 = C42.D14φ: C4wrC2/C42C2 ⊆ Aut C14224C14.5C4wrC2448,21
C14.6C4wrC2 = C42.2D14φ: C4wrC2/C42C2 ⊆ Aut C14448C14.6C4wrC2448,22
C14.7C4wrC2 = C28.8C42φ: C4wrC2/C42C2 ⊆ Aut C14112C14.7C4wrC2448,80
C14.8C4wrC2 = C23.30D28φ: C4wrC2/M4(2)C2 ⊆ Aut C14112C14.8C4wrC2448,24
C14.9C4wrC2 = C22.2D56φ: C4wrC2/M4(2)C2 ⊆ Aut C14112C14.9C4wrC2448,27
C14.10C4wrC2 = D28:2C8φ: C4wrC2/M4(2)C2 ⊆ Aut C14224C14.10C4wrC2448,40
C14.11C4wrC2 = Dic14:2C8φ: C4wrC2/M4(2)C2 ⊆ Aut C14448C14.11C4wrC2448,41
C14.12C4wrC2 = C28.3C42φ: C4wrC2/M4(2)C2 ⊆ Aut C14112C14.12C4wrC2448,112
C14.13C4wrC2 = C28.2C42φ: C4wrC2/C4oD4C2 ⊆ Aut C14112C14.13C4wrC2448,89
C14.14C4wrC2 = C28.57D8φ: C4wrC2/C4oD4C2 ⊆ Aut C14224C14.14C4wrC2448,91
C14.15C4wrC2 = C28.26Q16φ: C4wrC2/C4oD4C2 ⊆ Aut C14448C14.15C4wrC2448,92
C14.16C4wrC2 = (D4xC14):C4φ: C4wrC2/C4oD4C2 ⊆ Aut C14112C14.16C4wrC2448,94
C14.17C4wrC2 = C4:C4:Dic7φ: C4wrC2/C4oD4C2 ⊆ Aut C14112C14.17C4wrC2448,95
C14.18C4wrC2 = C42.7D14φ: C4wrC2/C4oD4C2 ⊆ Aut C14224C14.18C4wrC2448,97
C14.19C4wrC2 = C42.8D14φ: C4wrC2/C4oD4C2 ⊆ Aut C14448C14.19C4wrC2448,100
C14.20C4wrC2 = C7xD4:C8central extension (φ=1)224C14.20C4wrC2448,129
C14.21C4wrC2 = C7xQ8:C8central extension (φ=1)448C14.21C4wrC2448,130
C14.22C4wrC2 = C7xC22.SD16central extension (φ=1)112C14.22C4wrC2448,131
C14.23C4wrC2 = C7xC23.31D4central extension (φ=1)112C14.23C4wrC2448,132
C14.24C4wrC2 = C7xC42.C22central extension (φ=1)224C14.24C4wrC2448,133
C14.25C4wrC2 = C7xC42.2C22central extension (φ=1)448C14.25C4wrC2448,134
C14.26C4wrC2 = C7xC42:6C4central extension (φ=1)112C14.26C4wrC2448,143

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