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Extensions 1→N→G→Q→1 with N=C22 and Q=Dic7:C4

Direct product G=NxQ with N=C22 and Q=Dic7:C4
dρLabelID
C22xDic7:C4448C2^2xDic7:C4448,1236

Semidirect products G=N:Q with N=C22 and Q=Dic7:C4
extensionφ:Q→Aut NdρLabelID
C22:1(Dic7:C4) = C24.44D14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22224C2^2:1(Dic7:C4)448,476
C22:2(Dic7:C4) = C24.46D14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22224C2^2:2(Dic7:C4)448,480
C22:3(Dic7:C4) = C24.62D14φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C22224C2^2:3(Dic7:C4)448,744

Non-split extensions G=N.Q with N=C22 and Q=Dic7:C4
extensionφ:Q→Aut NdρLabelID
C22.1(Dic7:C4) = C24.D14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22112C2^2.1(Dic7:C4)448,83
C22.2(Dic7:C4) = C24.2D14φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22112C2^2.2(Dic7:C4)448,84
C22.3(Dic7:C4) = C42:Dic7φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C221124C2^2.3(Dic7:C4)448,88
C22.4(Dic7:C4) = C28.2C42φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22112C2^2.4(Dic7:C4)448,89
C22.5(Dic7:C4) = M4(2):Dic7φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22224C2^2.5(Dic7:C4)448,111
C22.6(Dic7:C4) = (C2xC56):C4φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C221124C2^2.6(Dic7:C4)448,113
C22.7(Dic7:C4) = C28.21C42φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C221124C2^2.7(Dic7:C4)448,117
C22.8(Dic7:C4) = C28.(C2xQ8)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22224C2^2.8(Dic7:C4)448,529
C22.9(Dic7:C4) = C28.45(C4:C4)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22224C2^2.9(Dic7:C4)448,532
C22.10(Dic7:C4) = Dic7:4M4(2)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22224C2^2.10(Dic7:C4)448,652
C22.11(Dic7:C4) = C28.439(C2xD4)φ: Dic7:C4/C2xDic7 → C2 ⊆ Aut C22224C2^2.11(Dic7:C4)448,653
C22.12(Dic7:C4) = C28.8C42φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C22112C2^2.12(Dic7:C4)448,80
C22.13(Dic7:C4) = C28.10C42φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.13(Dic7:C4)448,109
C22.14(Dic7:C4) = M4(2):4Dic7φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C221124C2^2.14(Dic7:C4)448,116
C22.15(Dic7:C4) = C4.Dic7:C4φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.15(Dic7:C4)448,498
C22.16(Dic7:C4) = Dic7:C8:C2φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.16(Dic7:C4)448,636
C22.17(Dic7:C4) = C23.Dic14φ: Dic7:C4/C2xC28 → C2 ⊆ Aut C221124C2^2.17(Dic7:C4)448,658
C22.18(Dic7:C4) = C28.53D8central extension (φ=1)448C2^2.18(Dic7:C4)448,36
C22.19(Dic7:C4) = C28.39SD16central extension (φ=1)448C2^2.19(Dic7:C4)448,37
C22.20(Dic7:C4) = C28.C42central extension (φ=1)448C2^2.20(Dic7:C4)448,86
C22.21(Dic7:C4) = (C2xC56):5C4central extension (φ=1)448C2^2.21(Dic7:C4)448,107
C22.22(Dic7:C4) = C28.4C42central extension (φ=1)224C2^2.22(Dic7:C4)448,115
C22.23(Dic7:C4) = C2xC28.Q8central extension (φ=1)448C2^2.23(Dic7:C4)448,496
C22.24(Dic7:C4) = C2xC4.Dic14central extension (φ=1)448C2^2.24(Dic7:C4)448,497
C22.25(Dic7:C4) = C2xDic7:C8central extension (φ=1)448C2^2.25(Dic7:C4)448,633
C22.26(Dic7:C4) = C2xC28.53D4central extension (φ=1)224C2^2.26(Dic7:C4)448,657
C22.27(Dic7:C4) = C2xC14.C42central extension (φ=1)448C2^2.27(Dic7:C4)448,742

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