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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C4⋊C4

Direct product G=N×Q with N=C2×C14 and Q=C4⋊C4
dρLabelID
C4⋊C4×C2×C14448C4:C4xC2xC14448,1296

Semidirect products G=N:Q with N=C2×C14 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊1(C4⋊C4) = C24.44D14φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14):1(C4:C4)448,476
(C2×C14)⋊2(C4⋊C4) = C24.46D14φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14):2(C4:C4)448,480
(C2×C14)⋊3(C4⋊C4) = C24.47D14φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14):3(C4:C4)448,484
(C2×C14)⋊4(C4⋊C4) = C7×C23.7Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14):4(C4:C4)448,788
(C2×C14)⋊5(C4⋊C4) = C7×C23.8Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14):5(C4:C4)448,793
(C2×C14)⋊6(C4⋊C4) = C24.62D14φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14):6(C4:C4)448,744
(C2×C14)⋊7(C4⋊C4) = C23.27D28φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14):7(C4:C4)448,746
(C2×C14)⋊8(C4⋊C4) = C22×Dic7⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14):8(C4:C4)448,1236
(C2×C14)⋊9(C4⋊C4) = C22×C4⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14):9(C4:C4)448,1238

Non-split extensions G=N.Q with N=C2×C14 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
(C2×C14).1(C4⋊C4) = C24.D14φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14112(C2xC14).1(C4:C4)448,83
(C2×C14).2(C4⋊C4) = C24.2D14φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14112(C2xC14).2(C4:C4)448,84
(C2×C14).3(C4⋊C4) = C42⋊Dic7φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C141124(C2xC14).3(C4:C4)448,88
(C2×C14).4(C4⋊C4) = C28.2C42φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14112(C2xC14).4(C4:C4)448,89
(C2×C14).5(C4⋊C4) = (C2×C28).Q8φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C141124(C2xC14).5(C4:C4)448,90
(C2×C14).6(C4⋊C4) = M4(2)⋊Dic7φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).6(C4:C4)448,111
(C2×C14).7(C4⋊C4) = C28.3C42φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14112(C2xC14).7(C4:C4)448,112
(C2×C14).8(C4⋊C4) = (C2×C56)⋊C4φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C141124(C2xC14).8(C4:C4)448,113
(C2×C14).9(C4⋊C4) = C28.4C42φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).9(C4:C4)448,115
(C2×C14).10(C4⋊C4) = C28.21C42φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C141124(C2xC14).10(C4:C4)448,117
(C2×C14).11(C4⋊C4) = C28.(C2×Q8)φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).11(C4:C4)448,529
(C2×C14).12(C4⋊C4) = C28.45(C4⋊C4)φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).12(C4:C4)448,532
(C2×C14).13(C4⋊C4) = C42.43D14φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).13(C4:C4)448,533
(C2×C14).14(C4⋊C4) = Dic7⋊4M4(2)φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).14(C4:C4)448,652
(C2×C14).15(C4⋊C4) = C28.439(C2×D4)φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).15(C4:C4)448,653
(C2×C14).16(C4⋊C4) = C23.47D28φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C14224(C2xC14).16(C4:C4)448,655
(C2×C14).17(C4⋊C4) = M4(2).Dic7φ: C4⋊C4/C22 → C22 ⊆ Aut C2×C141124(C2xC14).17(C4:C4)448,659
(C2×C14).18(C4⋊C4) = C7×C4.9C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).18(C4:C4)448,141
(C2×C14).19(C4⋊C4) = C7×C4.10C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).19(C4:C4)448,142
(C2×C14).20(C4⋊C4) = C7×C42⋊6C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14112(C2xC14).20(C4:C4)448,143
(C2×C14).21(C4⋊C4) = C7×C23.9D4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14112(C2xC14).21(C4:C4)448,146
(C2×C14).22(C4⋊C4) = C7×C22.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).22(C4:C4)448,147
(C2×C14).23(C4⋊C4) = C7×M4(2)⋊4C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).23(C4:C4)448,148
(C2×C14).24(C4⋊C4) = C7×C4⋊M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).24(C4:C4)448,831
(C2×C14).25(C4⋊C4) = C7×C42.6C22φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).25(C4:C4)448,832
(C2×C14).26(C4⋊C4) = C7×C23.25D4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).26(C4:C4)448,835
(C2×C14).27(C4⋊C4) = C7×M4(2)⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).27(C4:C4)448,836
(C2×C14).28(C4⋊C4) = C7×M4(2).C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).28(C4:C4)448,838
(C2×C14).29(C4⋊C4) = C56⋊2C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).29(C4:C4)448,14
(C2×C14).30(C4⋊C4) = C56⋊1C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).30(C4:C4)448,15
(C2×C14).31(C4⋊C4) = C28.53D8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).31(C4:C4)448,36
(C2×C14).32(C4⋊C4) = C28.39SD16φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).32(C4:C4)448,37
(C2×C14).33(C4⋊C4) = C28.8C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14112(C2xC14).33(C4:C4)448,80
(C2×C14).34(C4⋊C4) = (C2×C28)⋊3C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).34(C4:C4)448,81
(C2×C14).35(C4⋊C4) = C28.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).35(C4:C4)448,86
(C2×C14).36(C4⋊C4) = C28.(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).36(C4:C4)448,87
(C2×C14).37(C4⋊C4) = (C2×C56)⋊5C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).37(C4:C4)448,107
(C2×C14).38(C4⋊C4) = C28.9C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).38(C4:C4)448,108
(C2×C14).39(C4⋊C4) = C28.10C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).39(C4:C4)448,109
(C2×C14).40(C4⋊C4) = C23.9D28φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).40(C4:C4)448,114
(C2×C14).41(C4⋊C4) = M4(2)⋊4Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).41(C4:C4)448,116
(C2×C14).42(C4⋊C4) = C2×C28⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).42(C4:C4)448,457
(C2×C14).43(C4⋊C4) = C28⋊7M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).43(C4:C4)448,458
(C2×C14).44(C4⋊C4) = C2×C28.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).44(C4:C4)448,496
(C2×C14).45(C4⋊C4) = C2×C4.Dic14φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).45(C4:C4)448,497
(C2×C14).46(C4⋊C4) = C4.Dic7⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).46(C4:C4)448,498
(C2×C14).47(C4⋊C4) = C2×Dic7⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).47(C4:C4)448,633
(C2×C14).48(C4⋊C4) = Dic7⋊C8⋊C2φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).48(C4:C4)448,636
(C2×C14).49(C4⋊C4) = C2×C8⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).49(C4:C4)448,638
(C2×C14).50(C4⋊C4) = C2×C56⋊1C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).50(C4:C4)448,639
(C2×C14).51(C4⋊C4) = C23.22D28φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).51(C4:C4)448,640
(C2×C14).52(C4⋊C4) = C2×C56.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).52(C4:C4)448,641
(C2×C14).53(C4⋊C4) = C2×C28.53D4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14224(C2xC14).53(C4:C4)448,657
(C2×C14).54(C4⋊C4) = C23.Dic14φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C141124(C2xC14).54(C4:C4)448,658
(C2×C14).55(C4⋊C4) = C2×C14.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C2×C14448(C2xC14).55(C4:C4)448,742
(C2×C14).56(C4⋊C4) = C7×C8⋊2C8central extension (φ=1)448(C2xC14).56(C4:C4)448,138
(C2×C14).57(C4⋊C4) = C7×C8⋊1C8central extension (φ=1)448(C2xC14).57(C4:C4)448,139
(C2×C14).58(C4⋊C4) = C7×C22.7C42central extension (φ=1)448(C2xC14).58(C4:C4)448,140
(C2×C14).59(C4⋊C4) = C7×C22.4Q16central extension (φ=1)448(C2xC14).59(C4:C4)448,144
(C2×C14).60(C4⋊C4) = C7×C4.C42central extension (φ=1)224(C2xC14).60(C4:C4)448,145
(C2×C14).61(C4⋊C4) = C14×C2.C42central extension (φ=1)448(C2xC14).61(C4:C4)448,783
(C2×C14).62(C4⋊C4) = C14×C4⋊C8central extension (φ=1)448(C2xC14).62(C4:C4)448,830
(C2×C14).63(C4⋊C4) = C14×C4.Q8central extension (φ=1)448(C2xC14).63(C4:C4)448,833
(C2×C14).64(C4⋊C4) = C14×C2.D8central extension (φ=1)448(C2xC14).64(C4:C4)448,834
(C2×C14).65(C4⋊C4) = C14×C8.C4central extension (φ=1)224(C2xC14).65(C4:C4)448,837

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