# Extensions 1→N→G→Q→1 with N=C4×D4 and Q=C2

Direct product G=N×Q with N=C4×D4 and Q=C2
dρLabelID
C2×C4×D432C2xC4xD464,196

Semidirect products G=N:Q with N=C4×D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×D4)⋊1C2 = C4×D8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):1C264,118
(C4×D4)⋊2C2 = D8⋊C4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):2C264,123
(C4×D4)⋊3C2 = C4⋊D8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):3C264,140
(C4×D4)⋊4C2 = D4.2D4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):4C264,144
(C4×D4)⋊5C2 = C22.11C24φ: C2/C1C2 ⊆ Out C4×D416(C4xD4):5C264,199
(C4×D4)⋊6C2 = C23.33C23φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):6C264,201
(C4×D4)⋊7C2 = C22.19C24φ: C2/C1C2 ⊆ Out C4×D416(C4xD4):7C264,206
(C4×D4)⋊8C2 = C23.36C23φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):8C264,210
(C4×D4)⋊9C2 = C22.26C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):9C264,213
(C4×D4)⋊10C2 = C22.32C24φ: C2/C1C2 ⊆ Out C4×D416(C4xD4):10C264,219
(C4×D4)⋊11C2 = C22.33C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):11C264,220
(C4×D4)⋊12C2 = C22.34C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):12C264,221
(C4×D4)⋊13C2 = C22.36C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):13C264,223
(C4×D4)⋊14C2 = D42φ: C2/C1C2 ⊆ Out C4×D416(C4xD4):14C264,226
(C4×D4)⋊15C2 = D45D4φ: C2/C1C2 ⊆ Out C4×D416(C4xD4):15C264,227
(C4×D4)⋊16C2 = D46D4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):16C264,228
(C4×D4)⋊17C2 = Q85D4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):17C264,229
(C4×D4)⋊18C2 = Q86D4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):18C264,231
(C4×D4)⋊19C2 = C22.45C24φ: C2/C1C2 ⊆ Out C4×D416(C4xD4):19C264,232
(C4×D4)⋊20C2 = C22.47C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):20C264,234
(C4×D4)⋊21C2 = C22.49C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):21C264,236
(C4×D4)⋊22C2 = C22.53C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4):22C264,240
(C4×D4)⋊23C2 = C4×C4○D4φ: trivial image32(C4xD4):23C264,198

Non-split extensions G=N.Q with N=C4×D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×D4).1C2 = D4⋊C8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).1C264,6
(C4×D4).2C2 = C89D4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).2C264,116
(C4×D4).3C2 = C86D4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).3C264,117
(C4×D4).4C2 = C4×SD16φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).4C264,119
(C4×D4).5C2 = SD16⋊C4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).5C264,121
(C4×D4).6C2 = D4.D4φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).6C264,142
(C4×D4).7C2 = D4⋊Q8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).7C264,155
(C4×D4).8C2 = D42Q8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).8C264,157
(C4×D4).9C2 = D4.Q8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).9C264,159
(C4×D4).10C2 = D4×Q8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).10C264,230
(C4×D4).11C2 = C22.46C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).11C264,233
(C4×D4).12C2 = D43Q8φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).12C264,235
(C4×D4).13C2 = C22.50C24φ: C2/C1C2 ⊆ Out C4×D432(C4xD4).13C264,237
(C4×D4).14C2 = C8×D4φ: trivial image32(C4xD4).14C264,115

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