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Extensions 1→N→G→Q→1 with N=C2×C42 and Q=C22

Direct product G=N×Q with N=C2×C42 and Q=C22
dρLabelID
C23×C42336C2^3xC42336,228

Semidirect products G=N:Q with N=C2×C42 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C42)⋊1C22 = D4×D21φ: C22/C1 → C22 ⊆ Aut C2×C42844+(C2xC42):1C2^2336,198
(C2×C42)⋊2C22 = D7×C3⋊D4φ: C22/C1 → C22 ⊆ Aut C2×C42844(C2xC42):2C2^2336,161
(C2×C42)⋊3C22 = S3×C7⋊D4φ: C22/C1 → C22 ⊆ Aut C2×C42844(C2xC42):3C2^2336,162
(C2×C42)⋊4C22 = D6⋊D14φ: C22/C1 → C22 ⊆ Aut C2×C42844+(C2xC42):4C2^2336,163
(C2×C42)⋊5C22 = C22×S3×D7φ: C22/C1 → C22 ⊆ Aut C2×C4284(C2xC42):5C2^2336,219
(C2×C42)⋊6C22 = C3×D4×D7φ: C22/C1 → C22 ⊆ Aut C2×C42844(C2xC42):6C2^2336,178
(C2×C42)⋊7C22 = S3×C7×D4φ: C22/C1 → C22 ⊆ Aut C2×C42844(C2xC42):7C2^2336,188
(C2×C42)⋊8C22 = D4×C42φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42):8C2^2336,205
(C2×C42)⋊9C22 = C2×C21⋊7D4φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42):9C2^2336,203
(C2×C42)⋊10C22 = C23×D21φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42):10C2^2336,227
(C2×C42)⋊11C22 = C6×C7⋊D4φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42):11C2^2336,183
(C2×C42)⋊12C22 = D7×C22×C6φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42):12C2^2336,225
(C2×C42)⋊13C22 = C14×C3⋊D4φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42):13C2^2336,193
(C2×C42)⋊14C22 = S3×C22×C14φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42):14C2^2336,226

Non-split extensions G=N.Q with N=C2×C42 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C42).1C22 = D4⋊2D21φ: C22/C1 → C22 ⊆ Aut C2×C421684-(C2xC42).1C2^2336,199
(C2×C42).2C22 = Dic3×Dic7φ: C22/C1 → C22 ⊆ Aut C2×C42336(C2xC42).2C2^2336,41
(C2×C42).3C22 = D14⋊Dic3φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).3C2^2336,42
(C2×C42).4C22 = D6⋊Dic7φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).4C2^2336,43
(C2×C42).5C22 = D42⋊C4φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).5C2^2336,44
(C2×C42).6C22 = C42.Q8φ: C22/C1 → C22 ⊆ Aut C2×C42336(C2xC42).6C2^2336,45
(C2×C42).7C22 = Dic21⋊C4φ: C22/C1 → C22 ⊆ Aut C2×C42336(C2xC42).7C2^2336,46
(C2×C42).8C22 = C14.Dic6φ: C22/C1 → C22 ⊆ Aut C2×C42336(C2xC42).8C2^2336,47
(C2×C42).9C22 = C2×Dic3×D7φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).9C2^2336,151
(C2×C42).10C22 = Dic7.D6φ: C22/C1 → C22 ⊆ Aut C2×C421684(C2xC42).10C2^2336,152
(C2×C42).11C22 = C42.C23φ: C22/C1 → C22 ⊆ Aut C2×C421684-(C2xC42).11C2^2336,153
(C2×C42).12C22 = C2×S3×Dic7φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).12C2^2336,154
(C2×C42).13C22 = Dic3.D14φ: C22/C1 → C22 ⊆ Aut C2×C421684(C2xC42).13C2^2336,155
(C2×C42).14C22 = C2×D21⋊C4φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).14C2^2336,156
(C2×C42).15C22 = C2×C21⋊D4φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).15C2^2336,157
(C2×C42).16C22 = C2×C3⋊D28φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).16C2^2336,158
(C2×C42).17C22 = C2×C7⋊D12φ: C22/C1 → C22 ⊆ Aut C2×C42168(C2xC42).17C2^2336,159
(C2×C42).18C22 = C2×C21⋊Q8φ: C22/C1 → C22 ⊆ Aut C2×C42336(C2xC42).18C2^2336,160
(C2×C42).19C22 = C3×D4⋊2D7φ: C22/C1 → C22 ⊆ Aut C2×C421684(C2xC42).19C2^2336,179
(C2×C42).20C22 = C7×D4⋊2S3φ: C22/C1 → C22 ⊆ Aut C2×C421684(C2xC42).20C2^2336,189
(C2×C42).21C22 = C4○D4×C21φ: C22/C2 → C2 ⊆ Aut C2×C421682(C2xC42).21C2^2336,207
(C2×C42).22C22 = C4×Dic21φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).22C2^2336,97
(C2×C42).23C22 = C42.4Q8φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).23C2^2336,98
(C2×C42).24C22 = C84⋊C4φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).24C2^2336,99
(C2×C42).25C22 = C2.D84φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).25C2^2336,100
(C2×C42).26C22 = C42.38D4φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).26C2^2336,105
(C2×C42).27C22 = C2×Dic42φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).27C2^2336,194
(C2×C42).28C22 = C2×C4×D21φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).28C2^2336,195
(C2×C42).29C22 = C2×D84φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).29C2^2336,196
(C2×C42).30C22 = D84⋊11C2φ: C22/C2 → C2 ⊆ Aut C2×C421682(C2xC42).30C2^2336,197
(C2×C42).31C22 = C22×Dic21φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).31C2^2336,202
(C2×C42).32C22 = C12×Dic7φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).32C2^2336,65
(C2×C42).33C22 = C3×Dic7⋊C4φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).33C2^2336,66
(C2×C42).34C22 = C3×C4⋊Dic7φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).34C2^2336,67
(C2×C42).35C22 = C3×D14⋊C4φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).35C2^2336,68
(C2×C42).36C22 = C3×C23.D7φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).36C2^2336,73
(C2×C42).37C22 = C6×Dic14φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).37C2^2336,174
(C2×C42).38C22 = D7×C2×C12φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).38C2^2336,175
(C2×C42).39C22 = C6×D28φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).39C2^2336,176
(C2×C42).40C22 = C3×C4○D28φ: C22/C2 → C2 ⊆ Aut C2×C421682(C2xC42).40C2^2336,177
(C2×C42).41C22 = C2×C6×Dic7φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).41C2^2336,182
(C2×C42).42C22 = Dic3×C28φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).42C2^2336,81
(C2×C42).43C22 = C7×Dic3⋊C4φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).43C2^2336,82
(C2×C42).44C22 = C7×C4⋊Dic3φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).44C2^2336,83
(C2×C42).45C22 = C7×D6⋊C4φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).45C2^2336,84
(C2×C42).46C22 = C7×C6.D4φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).46C2^2336,89
(C2×C42).47C22 = C14×Dic6φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).47C2^2336,184
(C2×C42).48C22 = S3×C2×C28φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).48C2^2336,185
(C2×C42).49C22 = C14×D12φ: C22/C2 → C2 ⊆ Aut C2×C42168(C2xC42).49C2^2336,186
(C2×C42).50C22 = C7×C4○D12φ: C22/C2 → C2 ⊆ Aut C2×C421682(C2xC42).50C2^2336,187
(C2×C42).51C22 = Dic3×C2×C14φ: C22/C2 → C2 ⊆ Aut C2×C42336(C2xC42).51C2^2336,192
(C2×C42).52C22 = C22⋊C4×C21central extension (φ=1)168(C2xC42).52C2^2336,107
(C2×C42).53C22 = C4⋊C4×C21central extension (φ=1)336(C2xC42).53C2^2336,108
(C2×C42).54C22 = Q8×C42central extension (φ=1)336(C2xC42).54C2^2336,206

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