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

Direct product G=N×Q with N=C4×D4 and Q=C4
dρLabelID
D4×C4264D4xC4^2128,1003

Semidirect products G=N:Q with N=C4×D4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4×D4)⋊1C4 = C42.375D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):1C4128,232
(C4×D4)⋊2C4 = C42.403D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):2C4128,234
(C4×D4)⋊3C4 = C42.55D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):3C4128,237
(C4×D4)⋊4C4 = C42.57D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):4C4128,241
(C4×D4)⋊5C4 = C42.58D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):5C4128,244
(C4×D4)⋊6C4 = C42.59D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):6C4128,246
(C4×D4)⋊7C4 = C42.61D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):7C4128,249
(C4×D4)⋊8C4 = C42.63D4φ: C4/C1 → C4 ⊆ Out C4×D432(C4xD4):8C4128,253
(C4×D4)⋊9C4 = C4×C4≀C2φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4):9C4128,490
(C4×D4)⋊10C4 = D4.C42φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4):10C4128,491
(C4×D4)⋊11C4 = C4×D4⋊C4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):11C4128,492
(C4×D4)⋊12C4 = D4⋊C42φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):12C4128,494
(C4×D4)⋊13C4 = C42.98D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):13C4128,534
(C4×D4)⋊14C4 = C42.100D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):14C4128,536
(C4×D4)⋊15C4 = C42.102D4φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4):15C4128,538
(C4×D4)⋊16C4 = D4⋊4C42φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):16C4128,1007
(C4×D4)⋊17C4 = C42⋊42D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):17C4128,1022
(C4×D4)⋊18C4 = C43⋊9C2φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):18C4128,1025
(C4×D4)⋊19C4 = C24.547C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):19C4128,1050
(C4×D4)⋊20C4 = C23.201C24φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):20C4128,1051
(C4×D4)⋊21C4 = D4×C4⋊C4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):21C4128,1080
(C4×D4)⋊22C4 = C23.231C24φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):22C4128,1081
(C4×D4)⋊23C4 = C23.234C24φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):23C4128,1084
(C4×D4)⋊24C4 = C23.235C24φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):24C4128,1085
(C4×D4)⋊25C4 = C23.236C24φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):25C4128,1086
(C4×D4)⋊26C4 = C24.212C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4):26C4128,1089

Non-split extensions G=N.Q with N=C4×D4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4×D4).1C4 = C8.31D8φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).1C4128,62
(C4×D4).2C4 = C42.66D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).2C4128,256
(C4×D4).3C4 = C42.376D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).3C4128,261
(C4×D4).4C4 = C42.69D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).4C4128,264
(C4×D4).5C4 = C42.72D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).5C4128,267
(C4×D4).6C4 = C42.409D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).6C4128,272
(C4×D4).7C4 = C42.78D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).7C4128,279
(C4×D4).8C4 = C42.417D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).8C4128,285
(C4×D4).9C4 = C42.84D4φ: C4/C1 → C4 ⊆ Out C4×D464(C4xD4).9C4128,289
(C4×D4).10C4 = D4⋊C16φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).10C4128,61
(C4×D4).11C4 = C2×D4⋊C8φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).11C4128,206
(C4×D4).12C4 = C42.455D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).12C4128,208
(C4×D4).13C4 = C42.397D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).13C4128,209
(C4×D4).14C4 = C42.398D4φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).14C4128,210
(C4×D4).15C4 = D4⋊M4(2)φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).15C4128,218
(C4×D4).16C4 = C42.374D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).16C4128,220
(C4×D4).17C4 = D4⋊4M4(2)φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).17C4128,221
(C4×D4).18C4 = D4⋊5M4(2)φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).18C4128,222
(C4×D4).19C4 = C16⋊9D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).19C4128,900
(C4×D4).20C4 = C16⋊6D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).20C4128,901
(C4×D4).21C4 = D4.5C42φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).21C4128,1607
(C4×D4).22C4 = C42.674C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).22C4128,1638
(C4×D4).23C4 = C42.260C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).23C4128,1654
(C4×D4).24C4 = C42.261C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).24C4128,1655
(C4×D4).25C4 = C42.678C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).25C4128,1657
(C4×D4).26C4 = C2×C8⋊9D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).26C4128,1659
(C4×D4).27C4 = C2×C8⋊6D4φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).27C4128,1660
(C4×D4).28C4 = D4×M4(2)φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).28C4128,1666
(C4×D4).29C4 = C42.290C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).29C4128,1697
(C4×D4).30C4 = D4⋊6M4(2)φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).30C4128,1702
(C4×D4).31C4 = Q8⋊6M4(2)φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).31C4128,1703
(C4×D4).32C4 = C42.691C23φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).32C4128,1704
(C4×D4).33C4 = C23⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).33C4128,1705
(C4×D4).34C4 = D4⋊7M4(2)φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).34C4128,1706
(C4×D4).35C4 = C42.693C23φ: C4/C2 → C2 ⊆ Out C4×D432(C4xD4).35C4128,1707
(C4×D4).36C4 = C42.697C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).36C4128,1720
(C4×D4).37C4 = C42.698C23φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).37C4128,1721
(C4×D4).38C4 = D4⋊8M4(2)φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).38C4128,1722
(C4×D4).39C4 = Q8⋊7M4(2)φ: C4/C2 → C2 ⊆ Out C4×D464(C4xD4).39C4128,1723
(C4×D4).40C4 = D4×C16φ: trivial image64(C4xD4).40C4128,899
(C4×D4).41C4 = C4×C8○D4φ: trivial image64(C4xD4).41C4128,1606
(C4×D4).42C4 = D4×C2×C8φ: trivial image64(C4xD4).42C4128,1658
(C4×D4).43C4 = C8×C4○D4φ: trivial image64(C4xD4).43C4128,1696

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