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

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

Semidirect products G=N:Q with N=C14 and Q=C2×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C2×C4⋊C4) = C2×D7×C4⋊C4φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14:1(C2xC4:C4)448,954
C14⋊2(C2×C4⋊C4) = C22×Dic7⋊C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14:2(C2xC4:C4)448,1236
C14⋊3(C2×C4⋊C4) = C22×C4⋊Dic7φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14:3(C2xC4:C4)448,1238

Non-split extensions G=N.Q with N=C14 and Q=C2×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C14.1(C2×C4⋊C4) = C14.(C4×Q8)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.1(C2xC4:C4)448,181
C14.2(C2×C4⋊C4) = Dic7⋊C42φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.2(C2xC4:C4)448,183
C14.3(C2×C4⋊C4) = C7⋊(C42⋊8C4)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.3(C2xC4:C4)448,184
C14.4(C2×C4⋊C4) = D7×C2.C42φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.4(C2xC4:C4)448,197
C14.5(C2×C4⋊C4) = D14⋊(C4⋊C4)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.5(C2xC4:C4)448,201
C14.6(C2×C4⋊C4) = D14⋊C4⋊C4φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.6(C2xC4:C4)448,202
C14.7(C2×C4⋊C4) = D7×C4⋊C8φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.7(C2xC4:C4)448,366
C14.8(C2×C4⋊C4) = C28⋊M4(2)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.8(C2xC4:C4)448,371
C14.9(C2×C4⋊C4) = C42.30D14φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.9(C2xC4:C4)448,373
C14.10(C2×C4⋊C4) = D7×C4.Q8φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.10(C2xC4:C4)448,393
C14.11(C2×C4⋊C4) = (C8×D7)⋊C4φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.11(C2xC4:C4)448,394
C14.12(C2×C4⋊C4) = C8⋊(C4×D7)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.12(C2xC4:C4)448,395
C14.13(C2×C4⋊C4) = D7×C2.D8φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.13(C2xC4:C4)448,413
C14.14(C2×C4⋊C4) = C8.27(C4×D7)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.14(C2xC4:C4)448,414
C14.15(C2×C4⋊C4) = C56⋊(C2×C4)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.15(C2xC4:C4)448,415
C14.16(C2×C4⋊C4) = D7×C8.C4φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C141124C14.16(C2xC4:C4)448,426
C14.17(C2×C4⋊C4) = M4(2).25D14φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C141124C14.17(C2xC4:C4)448,427
C14.18(C2×C4⋊C4) = Dic7⋊(C4⋊C4)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.18(C2xC4:C4)448,506
C14.19(C2×C4⋊C4) = C4⋊C4×Dic7φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.19(C2xC4:C4)448,509
C14.20(C2×C4⋊C4) = C4⋊(D14⋊C4)φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.20(C2xC4:C4)448,521
C14.21(C2×C4⋊C4) = D14⋊C4⋊6C4φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.21(C2xC4:C4)448,523
C14.22(C2×C4⋊C4) = C2×C28⋊C8φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.22(C2xC4:C4)448,457
C14.23(C2×C4⋊C4) = C28⋊7M4(2)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.23(C2xC4:C4)448,458
C14.24(C2×C4⋊C4) = C28⋊4(C4⋊C4)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.24(C2xC4:C4)448,462
C14.25(C2×C4⋊C4) = C4×Dic7⋊C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.25(C2xC4:C4)448,465
C14.26(C2×C4⋊C4) = C4×C4⋊Dic7φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.26(C2xC4:C4)448,468
C14.27(C2×C4⋊C4) = C42⋊8Dic7φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.27(C2xC4:C4)448,469
C14.28(C2×C4⋊C4) = C42⋊9Dic7φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.28(C2xC4:C4)448,470
C14.29(C2×C4⋊C4) = C24.44D14φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.29(C2xC4:C4)448,476
C14.30(C2×C4⋊C4) = C24.46D14φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.30(C2xC4:C4)448,480
C14.31(C2×C4⋊C4) = C24.47D14φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.31(C2xC4:C4)448,484
C14.32(C2×C4⋊C4) = C2×C28.Q8φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.32(C2xC4:C4)448,496
C14.33(C2×C4⋊C4) = C2×C4.Dic14φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.33(C2xC4:C4)448,497
C14.34(C2×C4⋊C4) = C4.Dic7⋊C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.34(C2xC4:C4)448,498
C14.35(C2×C4⋊C4) = C28⋊(C4⋊C4)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.35(C2xC4:C4)448,507
C14.36(C2×C4⋊C4) = (C4×Dic7)⋊8C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.36(C2xC4:C4)448,510
C14.37(C2×C4⋊C4) = (C4×Dic7)⋊9C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.37(C2xC4:C4)448,511
C14.38(C2×C4⋊C4) = C4⋊(C4⋊Dic7)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.38(C2xC4:C4)448,519
C14.39(C2×C4⋊C4) = C28.(C2×Q8)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.39(C2xC4:C4)448,529
C14.40(C2×C4⋊C4) = C28.45(C4⋊C4)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.40(C2xC4:C4)448,532
C14.41(C2×C4⋊C4) = C42.43D14φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.41(C2xC4:C4)448,533
C14.42(C2×C4⋊C4) = C2×Dic7⋊C8φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.42(C2xC4:C4)448,633
C14.43(C2×C4⋊C4) = Dic7⋊C8⋊C2φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.43(C2xC4:C4)448,636
C14.44(C2×C4⋊C4) = C2×C8⋊Dic7φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.44(C2xC4:C4)448,638
C14.45(C2×C4⋊C4) = C2×C56⋊1C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.45(C2xC4:C4)448,639
C14.46(C2×C4⋊C4) = C23.22D28φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.46(C2xC4:C4)448,640
C14.47(C2×C4⋊C4) = C2×C56.C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.47(C2xC4:C4)448,641
C14.48(C2×C4⋊C4) = Dic7⋊4M4(2)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.48(C2xC4:C4)448,652
C14.49(C2×C4⋊C4) = C28.439(C2×D4)φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.49(C2xC4:C4)448,653
C14.50(C2×C4⋊C4) = C23.47D28φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.50(C2xC4:C4)448,655
C14.51(C2×C4⋊C4) = C2×C28.53D4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.51(C2xC4:C4)448,657
C14.52(C2×C4⋊C4) = C23.Dic14φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C141124C14.52(C2xC4:C4)448,658
C14.53(C2×C4⋊C4) = M4(2).Dic7φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C141124C14.53(C2xC4:C4)448,659
C14.54(C2×C4⋊C4) = C2×C14.C42φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14448C14.54(C2xC4:C4)448,742
C14.55(C2×C4⋊C4) = C24.62D14φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.55(C2xC4:C4)448,744
C14.56(C2×C4⋊C4) = C23.27D28φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C14224C14.56(C2xC4:C4)448,746
C14.57(C2×C4⋊C4) = C14×C2.C42central extension (φ=1)448C14.57(C2xC4:C4)448,783
C14.58(C2×C4⋊C4) = C4⋊C4×C28central extension (φ=1)448C14.58(C2xC4:C4)448,786
C14.59(C2×C4⋊C4) = C7×C23.7Q8central extension (φ=1)224C14.59(C2xC4:C4)448,788
C14.60(C2×C4⋊C4) = C7×C42⋊8C4central extension (φ=1)448C14.60(C2xC4:C4)448,790
C14.61(C2×C4⋊C4) = C7×C42⋊9C4central extension (φ=1)448C14.61(C2xC4:C4)448,792
C14.62(C2×C4⋊C4) = C7×C23.8Q8central extension (φ=1)224C14.62(C2xC4:C4)448,793
C14.63(C2×C4⋊C4) = C7×C23.65C23central extension (φ=1)448C14.63(C2xC4:C4)448,797
C14.64(C2×C4⋊C4) = C14×C4⋊C8central extension (φ=1)448C14.64(C2xC4:C4)448,830
C14.65(C2×C4⋊C4) = C7×C4⋊M4(2)central extension (φ=1)224C14.65(C2xC4:C4)448,831
C14.66(C2×C4⋊C4) = C7×C42.6C22central extension (φ=1)224C14.66(C2xC4:C4)448,832
C14.67(C2×C4⋊C4) = C14×C4.Q8central extension (φ=1)448C14.67(C2xC4:C4)448,833
C14.68(C2×C4⋊C4) = C14×C2.D8central extension (φ=1)448C14.68(C2xC4:C4)448,834
C14.69(C2×C4⋊C4) = C7×C23.25D4central extension (φ=1)224C14.69(C2xC4:C4)448,835
C14.70(C2×C4⋊C4) = C7×M4(2)⋊C4central extension (φ=1)224C14.70(C2xC4:C4)448,836
C14.71(C2×C4⋊C4) = C14×C8.C4central extension (φ=1)224C14.71(C2xC4:C4)448,837
C14.72(C2×C4⋊C4) = C7×M4(2).C4central extension (φ=1)1124C14.72(C2xC4:C4)448,838

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