# Extensions 1→N→G→Q→1 with N=C4×M4(2) and Q=C2

Direct product G=N×Q with N=C4×M4(2) and Q=C2
dρLabelID
C2×C4×M4(2)64C2xC4xM4(2)128,1603

Semidirect products G=N:Q with N=C4×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×M4(2))⋊1C2 = C4×C8⋊C22φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):1C2128,1676
(C4×M4(2))⋊2C2 = C4×C8.C22φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):2C2128,1677
(C4×M4(2))⋊3C2 = M4(2).51D4φ: C2/C1C2 ⊆ Out C4×M4(2)164(C4xM4(2)):3C2128,1688
(C4×M4(2))⋊4C2 = M4(2)⋊7D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):4C2128,1883
(C4×M4(2))⋊5C2 = M4(2)⋊8D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):5C2128,1884
(C4×M4(2))⋊6C2 = M4(2)⋊9D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):6C2128,1885
(C4×M4(2))⋊7C2 = C42.255D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):7C2128,1903
(C4×M4(2))⋊8C2 = C42.256D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):8C2128,1904
(C4×M4(2))⋊9C2 = C42.259D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):9C2128,1914
(C4×M4(2))⋊10C2 = C42.260D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):10C2128,1915
(C4×M4(2))⋊11C2 = C42.261D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):11C2128,1916
(C4×M4(2))⋊12C2 = C42.47D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):12C2128,215
(C4×M4(2))⋊13C2 = C42.400D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):13C2128,216
(C4×M4(2))⋊14C2 = D44M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):14C2128,221
(C4×M4(2))⋊15C2 = D45M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):15C2128,222
(C4×M4(2))⋊16C2 = C42.66D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):16C2128,256
(C4×M4(2))⋊17C2 = C42.405D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):17C2128,257
(C4×M4(2))⋊18C2 = C42.407D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):18C2128,259
(C4×M4(2))⋊19C2 = C42.376D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):19C2128,261
(C4×M4(2))⋊20C2 = C4×C4.D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):20C2128,487
(C4×M4(2))⋊21C2 = C4×C4≀C2φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):21C2128,490
(C4×M4(2))⋊22C2 = D4.C42φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):22C2128,491
(C4×M4(2))⋊23C2 = C42.427D4φ: C2/C1C2 ⊆ Out C4×M4(2)164(C4xM4(2)):23C2128,664
(C4×M4(2))⋊24C2 = M4(2)⋊12D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):24C2128,697
(C4×M4(2))⋊25C2 = C42.115D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):25C2128,699
(C4×M4(2))⋊26C2 = M4(2)⋊13D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):26C2128,712
(C4×M4(2))⋊27C2 = M4(2)○2M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):27C2128,1605
(C4×M4(2))⋊28C2 = D4.5C42φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):28C2128,1607
(C4×M4(2))⋊29C2 = C42.677C23φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):29C2128,1652
(C4×M4(2))⋊30C2 = C42.259C23φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):30C2128,1653
(C4×M4(2))⋊31C2 = C42.260C23φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):31C2128,1654
(C4×M4(2))⋊32C2 = C42.261C23φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):32C2128,1655
(C4×M4(2))⋊33C2 = D4×M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):33C2128,1666
(C4×M4(2))⋊34C2 = M4(2)⋊23D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):34C2128,1667
(C4×M4(2))⋊35C2 = C42.290C23φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):35C2128,1697
(C4×M4(2))⋊36C2 = C42.292C23φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):36C2128,1699
(C4×M4(2))⋊37C2 = C42.294C23φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):37C2128,1701
(C4×M4(2))⋊38C2 = D46M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):38C2128,1702
(C4×M4(2))⋊39C2 = Q86M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):39C2128,1703
(C4×M4(2))⋊40C2 = C42.240D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):40C2128,1870
(C4×M4(2))⋊41C2 = C42.242D4φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)):41C2128,1872
(C4×M4(2))⋊42C2 = C42.243D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):42C2128,1873
(C4×M4(2))⋊43C2 = C42.244D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)):43C2128,1874
(C4×M4(2))⋊44C2 = C4×C8○D4φ: trivial image64(C4xM4(2)):44C2128,1606

Non-split extensions G=N.Q with N=C4×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×M4(2)).1C2 = M4(2)⋊1C8φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).1C2128,297
(C4×M4(2)).2C2 = C81M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).2C2128,301
(C4×M4(2)).3C2 = C8.5M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)164(C4xM4(2)).3C2128,897
(C4×M4(2)).4C2 = M4(2)⋊5Q8φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).4C2128,1897
(C4×M4(2)).5C2 = M4(2)⋊6Q8φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).5C2128,1898
(C4×M4(2)).6C2 = C42.262D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).6C2128,1917
(C4×M4(2)).7C2 = M4(2)⋊C8φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).7C2128,10
(C4×M4(2)).8C2 = C42.3Q8φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).8C2128,15
(C4×M4(2)).9C2 = C42.6Q8φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)).9C2128,20
(C4×M4(2)).10C2 = C42.26D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).10C2128,23
(C4×M4(2)).11C2 = C42.388D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).11C2128,31
(C4×M4(2)).12C2 = C42.9Q8φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)).12C2128,32
(C4×M4(2)).13C2 = C89M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).13C2128,183
(C4×M4(2)).14C2 = C8215C2φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).14C2128,185
(C4×M4(2)).15C2 = C86M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).15C2128,187
(C4×M4(2)).16C2 = C42.401D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).16C2128,217
(C4×M4(2)).17C2 = Q85M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).17C2128,223
(C4×M4(2)).18C2 = C42.406D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).18C2128,258
(C4×M4(2)).19C2 = C42.408D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).19C2128,260
(C4×M4(2)).20C2 = C4×C4.10D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).20C2128,488
(C4×M4(2)).21C2 = C4×C8.C4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).21C2128,509
(C4×M4(2)).22C2 = C8.6C42φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).22C2128,510
(C4×M4(2)).23C2 = C8⋊C417C4φ: C2/C1C2 ⊆ Out C4×M4(2)164(C4xM4(2)).23C2128,573
(C4×M4(2)).24C2 = C42.430D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).24C2128,682
(C4×M4(2)).25C2 = C42.114D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).25C2128,698
(C4×M4(2)).26C2 = M4(2)⋊7Q8φ: C2/C1C2 ⊆ Out C4×M4(2)32(C4xM4(2)).26C2128,718
(C4×M4(2)).27C2 = M4(2)⋊8Q8φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).27C2128,729
(C4×M4(2)).28C2 = C42.128D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).28C2128,730
(C4×M4(2)).29C2 = M4(2)⋊9Q8φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).29C2128,1694
(C4×M4(2)).30C2 = Q8×M4(2)φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).30C2128,1695
(C4×M4(2)).31C2 = C42.241D4φ: C2/C1C2 ⊆ Out C4×M4(2)64(C4xM4(2)).31C2128,1871
(C4×M4(2)).32C2 = C8×M4(2)φ: trivial image64(C4xM4(2)).32C2128,181

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