Extensions 1→N→G→Q→1 with N=C14×M4(2) and Q=C2

Direct product G=N×Q with N=C14×M4(2) and Q=C2
dρLabelID
M4(2)×C2×C14224M4(2)xC2xC14448,1349

Semidirect products G=N:Q with N=C14×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×M4(2))⋊1C2 = C562D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):1C2448,668
(C14×M4(2))⋊2C2 = C563D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):2C2448,669
(C14×M4(2))⋊3C2 = C2×C8⋊D14φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):3C2448,1199
(C14×M4(2))⋊4C2 = C2×C8.D14φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):4C2448,1200
(C14×M4(2))⋊5C2 = C56.9C23φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):5C2448,1201
(C14×M4(2))⋊6C2 = C56⋊D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):6C2448,661
(C14×M4(2))⋊7C2 = C5618D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):7C2448,662
(C14×M4(2))⋊8C2 = C2×D7×M4(2)φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):8C2448,1196
(C14×M4(2))⋊9C2 = C2×D28.C4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):9C2448,1197
(C14×M4(2))⋊10C2 = C28.70C24φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):10C2448,1198
(C14×M4(2))⋊11C2 = C7×C8⋊D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):11C2448,876
(C14×M4(2))⋊12C2 = C7×C82D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):12C2448,877
(C14×M4(2))⋊13C2 = C14×C8⋊C22φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):13C2448,1356
(C14×M4(2))⋊14C2 = C14×C8.C22φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):14C2448,1357
(C14×M4(2))⋊15C2 = C7×D8⋊C22φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):15C2448,1358
(C14×M4(2))⋊16C2 = D146M4(2)φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):16C2448,660
(C14×M4(2))⋊17C2 = (C2×D28).14C4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):17C2448,663
(C14×M4(2))⋊18C2 = C2×C28.46D4φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):18C2448,664
(C14×M4(2))⋊19C2 = C23.48D28φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):19C2448,665
(C14×M4(2))⋊20C2 = M4(2).31D14φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):20C2448,666
(C14×M4(2))⋊21C2 = C23.49D28φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):21C2448,667
(C14×M4(2))⋊22C2 = C2×D284C4φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):22C2448,672
(C14×M4(2))⋊23C2 = C23.20D28φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):23C2448,673
(C14×M4(2))⋊24C2 = C7×C24.4C4φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):24C2448,815
(C14×M4(2))⋊25C2 = C7×(C22×C8)⋊C2φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):25C2448,816
(C14×M4(2))⋊26C2 = C14×C4.D4φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):26C2448,819
(C14×M4(2))⋊27C2 = C7×M4(2).8C22φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):27C2448,821
(C14×M4(2))⋊28C2 = C7×C23.36D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):28C2448,825
(C14×M4(2))⋊29C2 = C7×C23.37D4φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):29C2448,826
(C14×M4(2))⋊30C2 = C14×C4≀C2φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)):30C2448,828
(C14×M4(2))⋊31C2 = C7×C42⋊C22φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):31C2448,829
(C14×M4(2))⋊32C2 = C7×C89D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):32C2448,843
(C14×M4(2))⋊33C2 = C7×C86D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)):33C2448,844
(C14×M4(2))⋊34C2 = C7×Q8○M4(2)φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)):34C2448,1351
(C14×M4(2))⋊35C2 = C14×C8○D4φ: trivial image224(C14xM4(2)):35C2448,1350

Non-split extensions G=N.Q with N=C14×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×M4(2)).1C2 = C23.47D28φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).1C2448,655
(C14×M4(2)).2C2 = M4(2).Dic7φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).2C2448,659
(C14×M4(2)).3C2 = C56.4D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).3C2448,671
(C14×M4(2)).4C2 = C56.D4φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).4C2448,110
(C14×M4(2)).5C2 = M4(2)×Dic7φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).5C2448,651
(C14×M4(2)).6C2 = C28.7C42φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).6C2448,656
(C14×M4(2)).7C2 = C7×M4(2)⋊C4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).7C2448,836
(C14×M4(2)).8C2 = C7×C8.D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).8C2448,878
(C14×M4(2)).9C2 = M4(2)⋊Dic7φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).9C2448,111
(C14×M4(2)).10C2 = C28.3C42φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)).10C2448,112
(C14×M4(2)).11C2 = (C2×C56)⋊C4φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).11C2448,113
(C14×M4(2)).12C2 = C23.9D28φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).12C2448,114
(C14×M4(2)).13C2 = C28.4C42φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).13C2448,115
(C14×M4(2)).14C2 = M4(2)⋊4Dic7φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).14C2448,116
(C14×M4(2)).15C2 = C28.21C42φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).15C2448,117
(C14×M4(2)).16C2 = C7×C4.9C42φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).16C2448,141
(C14×M4(2)).17C2 = C7×C4.10C42φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).17C2448,142
(C14×M4(2)).18C2 = C7×C426C4φ: C2/C1C2 ⊆ Out C14×M4(2)112(C14xM4(2)).18C2448,143
(C14×M4(2)).19C2 = C7×C4.C42φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).19C2448,145
(C14×M4(2)).20C2 = C7×C22.C42φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).20C2448,147
(C14×M4(2)).21C2 = C7×M4(2)⋊4C4φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).21C2448,148
(C14×M4(2)).22C2 = C7×C23.C8φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).22C2448,153
(C14×M4(2)).23C2 = Dic74M4(2)φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).23C2448,652
(C14×M4(2)).24C2 = C28.439(C2×D4)φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).24C2448,653
(C14×M4(2)).25C2 = C23.46D28φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).25C2448,654
(C14×M4(2)).26C2 = C2×C28.53D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).26C2448,657
(C14×M4(2)).27C2 = C23.Dic14φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).27C2448,658
(C14×M4(2)).28C2 = C2×C4.12D28φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).28C2448,670
(C14×M4(2)).29C2 = C14×C4.10D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).29C2448,820
(C14×M4(2)).30C2 = C7×C23.38D4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).30C2448,827
(C14×M4(2)).31C2 = C7×C4⋊M4(2)φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).31C2448,831
(C14×M4(2)).32C2 = C7×C42.6C22φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).32C2448,832
(C14×M4(2)).33C2 = C14×C8.C4φ: C2/C1C2 ⊆ Out C14×M4(2)224(C14xM4(2)).33C2448,837
(C14×M4(2)).34C2 = C7×M4(2).C4φ: C2/C1C2 ⊆ Out C14×M4(2)1124(C14xM4(2)).34C2448,838
(C14×M4(2)).35C2 = M4(2)×C28φ: trivial image224(C14xM4(2)).35C2448,812
(C14×M4(2)).36C2 = C7×C82M4(2)φ: trivial image224(C14xM4(2)).36C2448,813

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