# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=Dic14

Direct product G=N×Q with N=C2×C4 and Q=Dic14
dρLabelID
C2×C4×Dic14448C2xC4xDic14448,920

Semidirect products G=N:Q with N=C2×C4 and Q=Dic14
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1Dic14 = (C2×Dic7)⋊Q8φ: Dic14/C14C22 ⊆ Aut C2×C4448(C2xC4):1Dic14448,190
(C2×C4)⋊2Dic14 = (C2×C4)⋊Dic14φ: Dic14/C14C22 ⊆ Aut C2×C4448(C2xC4):2Dic14448,513
(C2×C4)⋊3Dic14 = C14.72+ 1+4φ: Dic14/C14C22 ⊆ Aut C2×C4224(C2xC4):3Dic14448,953
(C2×C4)⋊4Dic14 = C42.90D14φ: Dic14/C14C22 ⊆ Aut C2×C4224(C2xC4):4Dic14448,972
(C2×C4)⋊5Dic14 = (C2×C28)⋊Q8φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4):5Dic14448,180
(C2×C4)⋊6Dic14 = C2×C28⋊Q8φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4):6Dic14448,950
(C2×C4)⋊7Dic14 = C42.88D14φ: Dic14/Dic7C2 ⊆ Aut C2×C4224(C2xC4):7Dic14448,970
(C2×C4)⋊8Dic14 = (C2×C28)⋊10Q8φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4):8Dic14448,463
(C2×C4)⋊9Dic14 = C2×C282Q8φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4):9Dic14448,921
(C2×C4)⋊10Dic14 = C42.274D14φ: Dic14/C28C2 ⊆ Aut C2×C4224(C2xC4):10Dic14448,923

Non-split extensions G=N.Q with N=C2×C4 and Q=Dic14
extensionφ:Q→Aut NdρLabelID
(C2×C4).1Dic14 = C28.(C4⋊C4)φ: Dic14/C14C22 ⊆ Aut C2×C4224(C2xC4).1Dic14448,87
(C2×C4).2Dic14 = C42⋊Dic7φ: Dic14/C14C22 ⊆ Aut C2×C41124(C2xC4).2Dic14448,88
(C2×C4).3Dic14 = (C2×C28).Q8φ: Dic14/C14C22 ⊆ Aut C2×C41124(C2xC4).3Dic14448,90
(C2×C4).4Dic14 = M4(2)⋊Dic7φ: Dic14/C14C22 ⊆ Aut C2×C4224(C2xC4).4Dic14448,111
(C2×C4).5Dic14 = (C2×C56)⋊C4φ: Dic14/C14C22 ⊆ Aut C2×C41124(C2xC4).5Dic14448,113
(C2×C4).6Dic14 = C23.9D28φ: Dic14/C14C22 ⊆ Aut C2×C41124(C2xC4).6Dic14448,114
(C2×C4).7Dic14 = M4(2)⋊4Dic7φ: Dic14/C14C22 ⊆ Aut C2×C41124(C2xC4).7Dic14448,116
(C2×C4).8Dic14 = C2.(C28⋊Q8)φ: Dic14/C14C22 ⊆ Aut C2×C4448(C2xC4).8Dic14448,191
(C2×C4).9Dic14 = (C2×C4).Dic14φ: Dic14/C14C22 ⊆ Aut C2×C4448(C2xC4).9Dic14448,194
(C2×C4).10Dic14 = C14.(C4⋊Q8)φ: Dic14/C14C22 ⊆ Aut C2×C4448(C2xC4).10Dic14448,195
(C2×C4).11Dic14 = C4.Dic7⋊C4φ: Dic14/C14C22 ⊆ Aut C2×C4224(C2xC4).11Dic14448,498
(C2×C4).12Dic14 = (C2×C28).54D4φ: Dic14/C14C22 ⊆ Aut C2×C4448(C2xC4).12Dic14448,518
(C2×C4).13Dic14 = (C2×C28).55D4φ: Dic14/C14C22 ⊆ Aut C2×C4448(C2xC4).13Dic14448,520
(C2×C4).14Dic14 = C28.(C2×Q8)φ: Dic14/C14C22 ⊆ Aut C2×C4224(C2xC4).14Dic14448,529
(C2×C4).15Dic14 = C23.47D28φ: Dic14/C14C22 ⊆ Aut C2×C4224(C2xC4).15Dic14448,655
(C2×C4).16Dic14 = C23.Dic14φ: Dic14/C14C22 ⊆ Aut C2×C41124(C2xC4).16Dic14448,658
(C2×C4).17Dic14 = M4(2).Dic7φ: Dic14/C14C22 ⊆ Aut C2×C41124(C2xC4).17Dic14448,659
(C2×C4).18Dic14 = C28.53D8φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).18Dic14448,36
(C2×C4).19Dic14 = C28.39SD16φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).19Dic14448,37
(C2×C4).20Dic14 = C14.(C4×Q8)φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).20Dic14448,181
(C2×C4).21Dic14 = C4⋊Dic78C4φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).21Dic14448,188
(C2×C4).22Dic14 = C14.(C4×D4)φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).22Dic14448,189
(C2×C4).23Dic14 = C28.C42φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).23Dic14448,86
(C2×C4).24Dic14 = C28.2C42φ: Dic14/Dic7C2 ⊆ Aut C2×C4112(C2xC4).24Dic14448,89
(C2×C4).25Dic14 = C28.3C42φ: Dic14/Dic7C2 ⊆ Aut C2×C4112(C2xC4).25Dic14448,112
(C2×C4).26Dic14 = C2×C28.Q8φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).26Dic14448,496
(C2×C4).27Dic14 = C2×C4.Dic14φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).27Dic14448,497
(C2×C4).28Dic14 = C28⋊(C4⋊C4)φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).28Dic14448,507
(C2×C4).29Dic14 = (C4×Dic7)⋊8C4φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).29Dic14448,510
(C2×C4).30Dic14 = (C4×Dic7)⋊9C4φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).30Dic14448,511
(C2×C4).31Dic14 = C4⋊(C4⋊Dic7)φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).31Dic14448,519
(C2×C4).32Dic14 = C28.45(C4⋊C4)φ: Dic14/Dic7C2 ⊆ Aut C2×C4224(C2xC4).32Dic14448,532
(C2×C4).33Dic14 = C42.43D14φ: Dic14/Dic7C2 ⊆ Aut C2×C4224(C2xC4).33Dic14448,533
(C2×C4).34Dic14 = Dic74M4(2)φ: Dic14/Dic7C2 ⊆ Aut C2×C4224(C2xC4).34Dic14448,652
(C2×C4).35Dic14 = C28.439(C2×D4)φ: Dic14/Dic7C2 ⊆ Aut C2×C4224(C2xC4).35Dic14448,653
(C2×C4).36Dic14 = C2×C28.53D4φ: Dic14/Dic7C2 ⊆ Aut C2×C4224(C2xC4).36Dic14448,657
(C2×C4).37Dic14 = C2×C28.3Q8φ: Dic14/Dic7C2 ⊆ Aut C2×C4448(C2xC4).37Dic14448,952
(C2×C4).38Dic14 = C562C8φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).38Dic14448,14
(C2×C4).39Dic14 = C561C8φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).39Dic14448,15
(C2×C4).40Dic14 = C284(C4⋊C4)φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).40Dic14448,462
(C2×C4).41Dic14 = (C2×C42).D7φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).41Dic14448,467
(C2×C4).42Dic14 = C28.8C42φ: Dic14/C28C2 ⊆ Aut C2×C4112(C2xC4).42Dic14448,80
(C2×C4).43Dic14 = C28.9C42φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).43Dic14448,108
(C2×C4).44Dic14 = C287M4(2)φ: Dic14/C28C2 ⊆ Aut C2×C4224(C2xC4).44Dic14448,458
(C2×C4).45Dic14 = C428Dic7φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).45Dic14448,469
(C2×C4).46Dic14 = C429Dic7φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).46Dic14448,470
(C2×C4).47Dic14 = Dic7⋊C8⋊C2φ: Dic14/C28C2 ⊆ Aut C2×C4224(C2xC4).47Dic14448,636
(C2×C4).48Dic14 = C2×C8⋊Dic7φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).48Dic14448,638
(C2×C4).49Dic14 = C2×C561C4φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).49Dic14448,639
(C2×C4).50Dic14 = C23.22D28φ: Dic14/C28C2 ⊆ Aut C2×C4224(C2xC4).50Dic14448,640
(C2×C4).51Dic14 = C2×C56.C4φ: Dic14/C28C2 ⊆ Aut C2×C4224(C2xC4).51Dic14448,641
(C2×C4).52Dic14 = C2×C28.6Q8φ: Dic14/C28C2 ⊆ Aut C2×C4448(C2xC4).52Dic14448,922
(C2×C4).53Dic14 = (C2×C28)⋊3C8central extension (φ=1)448(C2xC4).53Dic14448,81
(C2×C4).54Dic14 = (C2×C56)⋊5C4central extension (φ=1)448(C2xC4).54Dic14448,107
(C2×C4).55Dic14 = C2×C28⋊C8central extension (φ=1)448(C2xC4).55Dic14448,457
(C2×C4).56Dic14 = C4×Dic7⋊C4central extension (φ=1)448(C2xC4).56Dic14448,465
(C2×C4).57Dic14 = C4×C4⋊Dic7central extension (φ=1)448(C2xC4).57Dic14448,468
(C2×C4).58Dic14 = C2×Dic7⋊C8central extension (φ=1)448(C2xC4).58Dic14448,633

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