# Extensions 1→N→G→Q→1 with N=C42 and Q=C23

Direct product G=N×Q with N=C42 and Q=C23
dρLabelID
C23×C42336C2^3xC42336,228

Semidirect products G=N:Q with N=C42 and Q=C23
extensionφ:Q→Aut NdρLabelID
C42⋊C23 = C22×S3×D7φ: C23/C2C22 ⊆ Aut C4284C42:C2^3336,219
C422C23 = C23×D21φ: C23/C22C2 ⊆ Aut C42168C42:2C2^3336,227
C423C23 = D7×C22×C6φ: C23/C22C2 ⊆ Aut C42168C42:3C2^3336,225
C424C23 = S3×C22×C14φ: C23/C22C2 ⊆ Aut C42168C42:4C2^3336,226

Non-split extensions G=N.Q with N=C42 and Q=C23
extensionφ:Q→Aut NdρLabelID
C42.1C23 = D7×Dic6φ: C23/C2C22 ⊆ Aut C421684-C42.1C2^3336,137
C42.2C23 = D285S3φ: C23/C2C22 ⊆ Aut C421684-C42.2C2^3336,138
C42.3C23 = D28⋊S3φ: C23/C2C22 ⊆ Aut C421684C42.3C2^3336,139
C42.4C23 = S3×Dic14φ: C23/C2C22 ⊆ Aut C421684-C42.4C2^3336,140
C42.5C23 = D12⋊D7φ: C23/C2C22 ⊆ Aut C421684C42.5C2^3336,141
C42.6C23 = D84⋊C2φ: C23/C2C22 ⊆ Aut C421684+C42.6C2^3336,142
C42.7C23 = D21⋊Q8φ: C23/C2C22 ⊆ Aut C421684C42.7C2^3336,143
C42.8C23 = D6.D14φ: C23/C2C22 ⊆ Aut C421684C42.8C2^3336,144
C42.9C23 = D125D7φ: C23/C2C22 ⊆ Aut C421684-C42.9C2^3336,145
C42.10C23 = D14.D6φ: C23/C2C22 ⊆ Aut C421684+C42.10C2^3336,146
C42.11C23 = C4×S3×D7φ: C23/C2C22 ⊆ Aut C42844C42.11C2^3336,147
C42.12C23 = D7×D12φ: C23/C2C22 ⊆ Aut C42844+C42.12C2^3336,148
C42.13C23 = S3×D28φ: C23/C2C22 ⊆ Aut C42844+C42.13C2^3336,149
C42.14C23 = C28⋊D6φ: C23/C2C22 ⊆ Aut C42844C42.14C2^3336,150
C42.15C23 = C2×Dic3×D7φ: C23/C2C22 ⊆ Aut C42168C42.15C2^3336,151
C42.16C23 = Dic7.D6φ: C23/C2C22 ⊆ Aut C421684C42.16C2^3336,152
C42.17C23 = C42.C23φ: C23/C2C22 ⊆ Aut C421684-C42.17C2^3336,153
C42.18C23 = C2×S3×Dic7φ: C23/C2C22 ⊆ Aut C42168C42.18C2^3336,154
C42.19C23 = Dic3.D14φ: C23/C2C22 ⊆ Aut C421684C42.19C2^3336,155
C42.20C23 = C2×D21⋊C4φ: C23/C2C22 ⊆ Aut C42168C42.20C2^3336,156
C42.21C23 = C2×C21⋊D4φ: C23/C2C22 ⊆ Aut C42168C42.21C2^3336,157
C42.22C23 = C2×C3⋊D28φ: C23/C2C22 ⊆ Aut C42168C42.22C2^3336,158
C42.23C23 = C2×C7⋊D12φ: C23/C2C22 ⊆ Aut C42168C42.23C2^3336,159
C42.24C23 = C2×C21⋊Q8φ: C23/C2C22 ⊆ Aut C42336C42.24C2^3336,160
C42.25C23 = D7×C3⋊D4φ: C23/C2C22 ⊆ Aut C42844C42.25C2^3336,161
C42.26C23 = S3×C7⋊D4φ: C23/C2C22 ⊆ Aut C42844C42.26C2^3336,162
C42.27C23 = D6⋊D14φ: C23/C2C22 ⊆ Aut C42844+C42.27C2^3336,163
C42.28C23 = C2×Dic42φ: C23/C22C2 ⊆ Aut C42336C42.28C2^3336,194
C42.29C23 = C2×C4×D21φ: C23/C22C2 ⊆ Aut C42168C42.29C2^3336,195
C42.30C23 = C2×D84φ: C23/C22C2 ⊆ Aut C42168C42.30C2^3336,196
C42.31C23 = D8411C2φ: C23/C22C2 ⊆ Aut C421682C42.31C2^3336,197
C42.32C23 = D4×D21φ: C23/C22C2 ⊆ Aut C42844+C42.32C2^3336,198
C42.33C23 = D42D21φ: C23/C22C2 ⊆ Aut C421684-C42.33C2^3336,199
C42.34C23 = Q8×D21φ: C23/C22C2 ⊆ Aut C421684-C42.34C2^3336,200
C42.35C23 = Q83D21φ: C23/C22C2 ⊆ Aut C421684+C42.35C2^3336,201
C42.36C23 = C22×Dic21φ: C23/C22C2 ⊆ Aut C42336C42.36C2^3336,202
C42.37C23 = C2×C217D4φ: C23/C22C2 ⊆ Aut C42168C42.37C2^3336,203
C42.38C23 = C6×Dic14φ: C23/C22C2 ⊆ Aut C42336C42.38C2^3336,174
C42.39C23 = D7×C2×C12φ: C23/C22C2 ⊆ Aut C42168C42.39C2^3336,175
C42.40C23 = C6×D28φ: C23/C22C2 ⊆ Aut C42168C42.40C2^3336,176
C42.41C23 = C3×C4○D28φ: C23/C22C2 ⊆ Aut C421682C42.41C2^3336,177
C42.42C23 = C3×D4×D7φ: C23/C22C2 ⊆ Aut C42844C42.42C2^3336,178
C42.43C23 = C3×D42D7φ: C23/C22C2 ⊆ Aut C421684C42.43C2^3336,179
C42.44C23 = C3×Q8×D7φ: C23/C22C2 ⊆ Aut C421684C42.44C2^3336,180
C42.45C23 = C3×Q82D7φ: C23/C22C2 ⊆ Aut C421684C42.45C2^3336,181
C42.46C23 = C2×C6×Dic7φ: C23/C22C2 ⊆ Aut C42336C42.46C2^3336,182
C42.47C23 = C6×C7⋊D4φ: C23/C22C2 ⊆ Aut C42168C42.47C2^3336,183
C42.48C23 = C14×Dic6φ: C23/C22C2 ⊆ Aut C42336C42.48C2^3336,184
C42.49C23 = S3×C2×C28φ: C23/C22C2 ⊆ Aut C42168C42.49C2^3336,185
C42.50C23 = C14×D12φ: C23/C22C2 ⊆ Aut C42168C42.50C2^3336,186
C42.51C23 = C7×C4○D12φ: C23/C22C2 ⊆ Aut C421682C42.51C2^3336,187
C42.52C23 = S3×C7×D4φ: C23/C22C2 ⊆ Aut C42844C42.52C2^3336,188
C42.53C23 = C7×D42S3φ: C23/C22C2 ⊆ Aut C421684C42.53C2^3336,189
C42.54C23 = S3×C7×Q8φ: C23/C22C2 ⊆ Aut C421684C42.54C2^3336,190
C42.55C23 = C7×Q83S3φ: C23/C22C2 ⊆ Aut C421684C42.55C2^3336,191
C42.56C23 = Dic3×C2×C14φ: C23/C22C2 ⊆ Aut C42336C42.56C2^3336,192
C42.57C23 = C14×C3⋊D4φ: C23/C22C2 ⊆ Aut C42168C42.57C2^3336,193
C42.58C23 = D4×C42central extension (φ=1)168C42.58C2^3336,205
C42.59C23 = Q8×C42central extension (φ=1)336C42.59C2^3336,206
C42.60C23 = C4○D4×C21central extension (φ=1)1682C42.60C2^3336,207

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