# Extensions 1→N→G→Q→1 with N=C23 and Q=D14

Direct product G=N×Q with N=C23 and Q=D14
dρLabelID
D7×C24112D7xC2^4224,196

Semidirect products G=N:Q with N=C23 and Q=D14
extensionφ:Q→Aut NdρLabelID
C231D14 = C23⋊D14φ: D14/C7C22 ⊆ Aut C2356C2^3:1D14224,132
C232D14 = D46D14φ: D14/C7C22 ⊆ Aut C23564C2^3:2D14224,180
C233D14 = C2×D4×D7φ: D14/D7C2 ⊆ Aut C2356C2^3:3D14224,178
C234D14 = C22×C7⋊D4φ: D14/C14C2 ⊆ Aut C23112C2^3:4D14224,188

Non-split extensions G=N.Q with N=C23 and Q=D14
extensionφ:Q→Aut NdρLabelID
C23.1D14 = C23.1D14φ: D14/C7C22 ⊆ Aut C23564C2^3.1D14224,12
C23.2D14 = C23⋊Dic7φ: D14/C7C22 ⊆ Aut C23564C2^3.2D14224,40
C23.3D14 = C23.D14φ: D14/C7C22 ⊆ Aut C23112C2^3.3D14224,74
C23.4D14 = D14.D4φ: D14/C7C22 ⊆ Aut C23112C2^3.4D14224,78
C23.5D14 = D14⋊D4φ: D14/C7C22 ⊆ Aut C23112C2^3.5D14224,79
C23.6D14 = Dic7.D4φ: D14/C7C22 ⊆ Aut C23112C2^3.6D14224,80
C23.7D14 = C28.17D4φ: D14/C7C22 ⊆ Aut C23112C2^3.7D14224,131
C23.8D14 = C282D4φ: D14/C7C22 ⊆ Aut C23112C2^3.8D14224,133
C23.9D14 = Dic7⋊D4φ: D14/C7C22 ⊆ Aut C23112C2^3.9D14224,134
C23.10D14 = C28⋊D4φ: D14/C7C22 ⊆ Aut C23112C2^3.10D14224,135
C23.11D14 = C23.11D14φ: D14/D7C2 ⊆ Aut C23112C2^3.11D14224,72
C23.12D14 = C22⋊Dic14φ: D14/D7C2 ⊆ Aut C23112C2^3.12D14224,73
C23.13D14 = D7×C22⋊C4φ: D14/D7C2 ⊆ Aut C2356C2^3.13D14224,75
C23.14D14 = Dic74D4φ: D14/D7C2 ⊆ Aut C23112C2^3.14D14224,76
C23.15D14 = C22⋊D28φ: D14/D7C2 ⊆ Aut C2356C2^3.15D14224,77
C23.16D14 = C22.D28φ: D14/D7C2 ⊆ Aut C23112C2^3.16D14224,81
C23.17D14 = D4×Dic7φ: D14/D7C2 ⊆ Aut C23112C2^3.17D14224,129
C23.18D14 = C23.18D14φ: D14/D7C2 ⊆ Aut C23112C2^3.18D14224,130
C23.19D14 = C2×D42D7φ: D14/D7C2 ⊆ Aut C23112C2^3.19D14224,179
C23.20D14 = C28.48D4φ: D14/C14C2 ⊆ Aut C23112C2^3.20D14224,119
C23.21D14 = C23.21D14φ: D14/C14C2 ⊆ Aut C23112C2^3.21D14224,121
C23.22D14 = C4×C7⋊D4φ: D14/C14C2 ⊆ Aut C23112C2^3.22D14224,123
C23.23D14 = C23.23D14φ: D14/C14C2 ⊆ Aut C23112C2^3.23D14224,124
C23.24D14 = C287D4φ: D14/C14C2 ⊆ Aut C23112C2^3.24D14224,125
C23.25D14 = C24⋊D7φ: D14/C14C2 ⊆ Aut C2356C2^3.25D14224,148
C23.26D14 = C2×C4○D28φ: D14/C14C2 ⊆ Aut C23112C2^3.26D14224,177
C23.27D14 = C14.C42central extension (φ=1)224C2^3.27D14224,37
C23.28D14 = C2×C4×Dic7central extension (φ=1)224C2^3.28D14224,117
C23.29D14 = C2×Dic7⋊C4central extension (φ=1)224C2^3.29D14224,118
C23.30D14 = C2×C4⋊Dic7central extension (φ=1)224C2^3.30D14224,120
C23.31D14 = C2×D14⋊C4central extension (φ=1)112C2^3.31D14224,122
C23.32D14 = C2×C23.D7central extension (φ=1)112C2^3.32D14224,147
C23.33D14 = C22×Dic14central extension (φ=1)224C2^3.33D14224,174
C23.34D14 = D7×C22×C4central extension (φ=1)112C2^3.34D14224,175
C23.35D14 = C22×D28central extension (φ=1)112C2^3.35D14224,176
C23.36D14 = C23×Dic7central extension (φ=1)224C2^3.36D14224,187

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