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

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

Semidirect products G=N:Q with N=C4 and Q=C2×Dic14
extensionφ:Q→Aut NdρLabelID
C41(C2×Dic14) = D4×Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4:1(C2xDic14)448,990
C42(C2×Dic14) = C2×C28⋊Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4:2(C2xDic14)448,950
C43(C2×Dic14) = C2×C282Q8φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4:3(C2xDic14)448,921

Non-split extensions G=N.Q with N=C4 and Q=C2×Dic14
extensionφ:Q→Aut NdρLabelID
C4.1(C2×Dic14) = Dic7.D8φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.1(C2xDic14)448,293
C4.2(C2×Dic14) = D4⋊Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.2(C2xDic14)448,295
C4.3(C2×Dic14) = D4.Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.3(C2xDic14)448,297
C4.4(C2×Dic14) = D4.2Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.4(C2xDic14)448,300
C4.5(C2×Dic14) = Q8⋊Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.5(C2xDic14)448,325
C4.6(C2×Dic14) = Dic7.Q16φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.6(C2xDic14)448,328
C4.7(C2×Dic14) = Q8.Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.7(C2xDic14)448,330
C4.8(C2×Dic14) = Q8.2Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.8(C2xDic14)448,333
C4.9(C2×Dic14) = C28.50D8φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.9(C2xDic14)448,541
C4.10(C2×Dic14) = C28.38SD16φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.10(C2xDic14)448,542
C4.11(C2×Dic14) = D4.3Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.11(C2xDic14)448,543
C4.12(C2×Dic14) = C28.48SD16φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.12(C2xDic14)448,554
C4.13(C2×Dic14) = C28.23Q16φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.13(C2xDic14)448,555
C4.14(C2×Dic14) = Q8.3Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.14(C2xDic14)448,556
C4.15(C2×Dic14) = D45Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.15(C2xDic14)448,992
C4.16(C2×Dic14) = D46Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4224C4.16(C2xDic14)448,996
C4.17(C2×Dic14) = Q8×Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.17(C2xDic14)448,1019
C4.18(C2×Dic14) = Q85Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.18(C2xDic14)448,1022
C4.19(C2×Dic14) = Q86Dic14φ: C2×Dic14/Dic14C2 ⊆ Aut C4448C4.19(C2xDic14)448,1023
C4.20(C2×Dic14) = C565Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.20(C2xDic14)448,389
C4.21(C2×Dic14) = C563Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.21(C2xDic14)448,390
C4.22(C2×Dic14) = C56.8Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.22(C2xDic14)448,392
C4.23(C2×Dic14) = C562Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.23(C2xDic14)448,408
C4.24(C2×Dic14) = C564Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.24(C2xDic14)448,410
C4.25(C2×Dic14) = C56.4Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.25(C2xDic14)448,412
C4.26(C2×Dic14) = C2×C28.Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.26(C2xDic14)448,496
C4.27(C2×Dic14) = C2×C4.Dic14φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.27(C2xDic14)448,497
C4.28(C2×Dic14) = C4.Dic7⋊C4φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4224C4.28(C2xDic14)448,498
C4.29(C2×Dic14) = C28.(C2×Q8)φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4224C4.29(C2xDic14)448,529
C4.30(C2×Dic14) = C28.45(C4⋊C4)φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4224C4.30(C2xDic14)448,532
C4.31(C2×Dic14) = C2×C28.3Q8φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4448C4.31(C2xDic14)448,952
C4.32(C2×Dic14) = C14.72+ 1+4φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4224C4.32(C2xDic14)448,953
C4.33(C2×Dic14) = C42.88D14φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4224C4.33(C2xDic14)448,970
C4.34(C2×Dic14) = C42.90D14φ: C2×Dic14/C2×Dic7C2 ⊆ Aut C4224C4.34(C2xDic14)448,972
C4.35(C2×Dic14) = C569Q8φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4.35(C2xDic14)448,214
C4.36(C2×Dic14) = C568Q8φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4.36(C2xDic14)448,216
C4.37(C2×Dic14) = C56.13Q8φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4.37(C2xDic14)448,217
C4.38(C2×Dic14) = C8⋊Dic14φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4.38(C2xDic14)448,236
C4.39(C2×Dic14) = C2×C8⋊Dic7φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4.39(C2xDic14)448,638
C4.40(C2×Dic14) = C2×C561C4φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4.40(C2xDic14)448,639
C4.41(C2×Dic14) = C23.22D28φ: C2×Dic14/C2×C28C2 ⊆ Aut C4224C4.41(C2xDic14)448,640
C4.42(C2×Dic14) = C23.47D28φ: C2×Dic14/C2×C28C2 ⊆ Aut C4224C4.42(C2xDic14)448,655
C4.43(C2×Dic14) = C2×C28.6Q8φ: C2×Dic14/C2×C28C2 ⊆ Aut C4448C4.43(C2xDic14)448,922
C4.44(C2×Dic14) = C8×Dic14central extension (φ=1)448C4.44(C2xDic14)448,212
C4.45(C2×Dic14) = C5611Q8central extension (φ=1)448C4.45(C2xDic14)448,213
C4.46(C2×Dic14) = C56⋊Q8central extension (φ=1)448C4.46(C2xDic14)448,235
C4.47(C2×Dic14) = C2×C28⋊C8central extension (φ=1)448C4.47(C2xDic14)448,457
C4.48(C2×Dic14) = C287M4(2)central extension (φ=1)224C4.48(C2xDic14)448,458
C4.49(C2×Dic14) = C42.43D14central extension (φ=1)224C4.49(C2xDic14)448,533
C4.50(C2×Dic14) = C2×Dic7⋊C8central extension (φ=1)448C4.50(C2xDic14)448,633
C4.51(C2×Dic14) = Dic7⋊C8⋊C2central extension (φ=1)224C4.51(C2xDic14)448,636
C4.52(C2×Dic14) = Dic74M4(2)central extension (φ=1)224C4.52(C2xDic14)448,652
C4.53(C2×Dic14) = C28.439(C2×D4)central extension (φ=1)224C4.53(C2xDic14)448,653
C4.54(C2×Dic14) = C42.274D14central extension (φ=1)224C4.54(C2xDic14)448,923

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