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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic7:C4

Direct product G=NxQ with N=C4 and Q=Dic7:C4
dρLabelID
C4xDic7:C4448C4xDic7:C4448,465

Semidirect products G=N:Q with N=C4 and Q=Dic7:C4
extensionφ:Q→Aut NdρLabelID
C4:1(Dic7:C4) = C28:(C4:C4)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4:1(Dic7:C4)448,507
C4:2(Dic7:C4) = (C4xDic7):8C4φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4:2(Dic7:C4)448,510
C4:3(Dic7:C4) = C28:4(C4:C4)φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C4448C4:3(Dic7:C4)448,462

Non-split extensions G=N.Q with N=C4 and Q=Dic7:C4
extensionφ:Q→Aut NdρLabelID
C4.1(Dic7:C4) = C56.Q8φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.1(Dic7:C4)448,44
C4.2(Dic7:C4) = C8.4Dic14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4.2(Dic7:C4)448,46
C4.3(Dic7:C4) = C8.5Dic14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4.3(Dic7:C4)448,47
C4.4(Dic7:C4) = C8.7Dic14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C42244C4.4(Dic7:C4)448,50
C4.5(Dic7:C4) = C8.Dic14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.5(Dic7:C4)448,51
C4.6(Dic7:C4) = C28.C42φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4.6(Dic7:C4)448,86
C4.7(Dic7:C4) = C28.(C4:C4)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4224C4.7(Dic7:C4)448,87
C4.8(Dic7:C4) = C42:Dic7φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.8(Dic7:C4)448,88
C4.9(Dic7:C4) = (C2xC28).Q8φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.9(Dic7:C4)448,90
C4.10(Dic7:C4) = C28.3C42φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4112C4.10(Dic7:C4)448,112
C4.11(Dic7:C4) = (C2xC56):C4φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.11(Dic7:C4)448,113
C4.12(Dic7:C4) = C23.9D28φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.12(Dic7:C4)448,114
C4.13(Dic7:C4) = M4(2):4Dic7φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.13(Dic7:C4)448,116
C4.14(Dic7:C4) = C2xC28.Q8φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4.14(Dic7:C4)448,496
C4.15(Dic7:C4) = C2xC4.Dic14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4.15(Dic7:C4)448,497
C4.16(Dic7:C4) = C4.Dic7:C4φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4224C4.16(Dic7:C4)448,498
C4.17(Dic7:C4) = (C4xDic7):9C4φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4448C4.17(Dic7:C4)448,511
C4.18(Dic7:C4) = Dic7:4M4(2)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4224C4.18(Dic7:C4)448,652
C4.19(Dic7:C4) = C28.439(C2xD4)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4224C4.19(Dic7:C4)448,653
C4.20(Dic7:C4) = C2xC28.53D4φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C4224C4.20(Dic7:C4)448,657
C4.21(Dic7:C4) = C23.Dic14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C41124C4.21(Dic7:C4)448,658
C4.22(Dic7:C4) = C28.8C42φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C4112C4.22(Dic7:C4)448,80
C4.23(Dic7:C4) = C28.9C42φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C4448C4.23(Dic7:C4)448,108
C4.24(Dic7:C4) = M4(2):Dic7φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C4224C4.24(Dic7:C4)448,111
C4.25(Dic7:C4) = C28.(C2xQ8)φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C4224C4.25(Dic7:C4)448,529
C4.26(Dic7:C4) = Dic7:C8:C2φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C4224C4.26(Dic7:C4)448,636
C4.27(Dic7:C4) = Dic7:C16central extension (φ=1)448C4.27(Dic7:C4)448,58
C4.28(Dic7:C4) = C56.9Q8central extension (φ=1)1124C4.28(Dic7:C4)448,68
C4.29(Dic7:C4) = (C2xC28):3C8central extension (φ=1)448C4.29(Dic7:C4)448,81
C4.30(Dic7:C4) = C28.2C42central extension (φ=1)112C4.30(Dic7:C4)448,89
C4.31(Dic7:C4) = (C2xC56):5C4central extension (φ=1)448C4.31(Dic7:C4)448,107
C4.32(Dic7:C4) = C28.45(C4:C4)central extension (φ=1)224C4.32(Dic7:C4)448,532
C4.33(Dic7:C4) = C2xDic7:C8central extension (φ=1)448C4.33(Dic7:C4)448,633

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