# Extensions 1→N→G→Q→1 with N=C23 and Q=D22

Direct product G=N×Q with N=C23 and Q=D22
dρLabelID
C24×D11176C2^4xD11352,194

Semidirect products G=N:Q with N=C23 and Q=D22
extensionφ:Q→Aut NdρLabelID
C231D22 = C23⋊D22φ: D22/C11C22 ⊆ Aut C2388C2^3:1D22352,132
C232D22 = D46D22φ: D22/C11C22 ⊆ Aut C23884C2^3:2D22352,179
C233D22 = C2×D4×D11φ: D22/D11C2 ⊆ Aut C2388C2^3:3D22352,177
C234D22 = C22×C11⋊D4φ: D22/C22C2 ⊆ Aut C23176C2^3:4D22352,187

Non-split extensions G=N.Q with N=C23 and Q=D22
extensionφ:Q→Aut NdρLabelID
C23.1D22 = C22.2D44φ: D22/C11C22 ⊆ Aut C23884C2^3.1D22352,12
C23.2D22 = C23⋊Dic11φ: D22/C11C22 ⊆ Aut C23884C2^3.2D22352,40
C23.3D22 = C23.D22φ: D22/C11C22 ⊆ Aut C23176C2^3.3D22352,74
C23.4D22 = D22.D4φ: D22/C11C22 ⊆ Aut C23176C2^3.4D22352,78
C23.5D22 = D22⋊D4φ: D22/C11C22 ⊆ Aut C23176C2^3.5D22352,79
C23.6D22 = Dic11.D4φ: D22/C11C22 ⊆ Aut C23176C2^3.6D22352,80
C23.7D22 = C44.17D4φ: D22/C11C22 ⊆ Aut C23176C2^3.7D22352,131
C23.8D22 = C442D4φ: D22/C11C22 ⊆ Aut C23176C2^3.8D22352,133
C23.9D22 = Dic11⋊D4φ: D22/C11C22 ⊆ Aut C23176C2^3.9D22352,134
C23.10D22 = C44⋊D4φ: D22/C11C22 ⊆ Aut C23176C2^3.10D22352,135
C23.11D22 = C23.11D22φ: D22/D11C2 ⊆ Aut C23176C2^3.11D22352,72
C23.12D22 = C22⋊Dic22φ: D22/D11C2 ⊆ Aut C23176C2^3.12D22352,73
C23.13D22 = C22⋊C4×D11φ: D22/D11C2 ⊆ Aut C2388C2^3.13D22352,75
C23.14D22 = Dic114D4φ: D22/D11C2 ⊆ Aut C23176C2^3.14D22352,76
C23.15D22 = C22⋊D44φ: D22/D11C2 ⊆ Aut C2388C2^3.15D22352,77
C23.16D22 = C22.D44φ: D22/D11C2 ⊆ Aut C23176C2^3.16D22352,81
C23.17D22 = D4×Dic11φ: D22/D11C2 ⊆ Aut C23176C2^3.17D22352,129
C23.18D22 = C23.18D22φ: D22/D11C2 ⊆ Aut C23176C2^3.18D22352,130
C23.19D22 = C2×D42D11φ: D22/D11C2 ⊆ Aut C23176C2^3.19D22352,178
C23.20D22 = C44.48D4φ: D22/C22C2 ⊆ Aut C23176C2^3.20D22352,119
C23.21D22 = C23.21D22φ: D22/C22C2 ⊆ Aut C23176C2^3.21D22352,121
C23.22D22 = C4×C11⋊D4φ: D22/C22C2 ⊆ Aut C23176C2^3.22D22352,123
C23.23D22 = C23.23D22φ: D22/C22C2 ⊆ Aut C23176C2^3.23D22352,124
C23.24D22 = C447D4φ: D22/C22C2 ⊆ Aut C23176C2^3.24D22352,125
C23.25D22 = C24⋊D11φ: D22/C22C2 ⊆ Aut C2388C2^3.25D22352,148
C23.26D22 = C2×D445C2φ: D22/C22C2 ⊆ Aut C23176C2^3.26D22352,176
C23.27D22 = C22.C42central extension (φ=1)352C2^3.27D22352,37
C23.28D22 = C2×C4×Dic11central extension (φ=1)352C2^3.28D22352,117
C23.29D22 = C2×Dic11⋊C4central extension (φ=1)352C2^3.29D22352,118
C23.30D22 = C2×C44⋊C4central extension (φ=1)352C2^3.30D22352,120
C23.31D22 = C2×D22⋊C4central extension (φ=1)176C2^3.31D22352,122
C23.32D22 = C2×C23.D11central extension (φ=1)176C2^3.32D22352,147
C23.33D22 = C22×Dic22central extension (φ=1)352C2^3.33D22352,173
C23.34D22 = C22×C4×D11central extension (φ=1)176C2^3.34D22352,174
C23.35D22 = C22×D44central extension (φ=1)176C2^3.35D22352,175
C23.36D22 = C23×Dic11central extension (φ=1)352C2^3.36D22352,186

׿
×
𝔽