Extensions 1→N→G→Q→1 with N=C22 and Q=C56⋊C2

Direct product G=N×Q with N=C22 and Q=C56⋊C2
dρLabelID
C22×C56⋊C2224C2^2xC56:C2448,1192

Semidirect products G=N:Q with N=C22 and Q=C56⋊C2
extensionφ:Q→Aut NdρLabelID
C221(C56⋊C2) = C5630D4φ: C56⋊C2/C56C2 ⊆ Aut C22224C2^2:1(C56:C2)448,648
C222(C56⋊C2) = Dic1414D4φ: C56⋊C2/Dic14C2 ⊆ Aut C22224C2^2:2(C56:C2)448,272
C223(C56⋊C2) = D28.31D4φ: C56⋊C2/D28C2 ⊆ Aut C22112C2^2:3(C56:C2)448,265

Non-split extensions G=N.Q with N=C22 and Q=C56⋊C2
extensionφ:Q→Aut NdρLabelID
C22.1(C56⋊C2) = D56.1C4φ: C56⋊C2/C56C2 ⊆ Aut C222242C2^2.1(C56:C2)448,67
C22.2(C56⋊C2) = C22.2D56φ: C56⋊C2/Dic14C2 ⊆ Aut C22112C2^2.2(C56:C2)448,27
C22.3(C56⋊C2) = C23.38D28φ: C56⋊C2/Dic14C2 ⊆ Aut C22224C2^2.3(C56:C2)448,269
C22.4(C56⋊C2) = C23.30D28φ: C56⋊C2/D28C2 ⊆ Aut C22112C2^2.4(C56:C2)448,24
C22.5(C56⋊C2) = C16⋊Dic7φ: C56⋊C2/D28C2 ⊆ Aut C221124C2^2.5(C56:C2)448,70
C22.6(C56⋊C2) = C28.3D8φ: C56⋊C2/D28C2 ⊆ Aut C221124+C2^2.6(C56:C2)448,73
C22.7(C56⋊C2) = C28.4D8φ: C56⋊C2/D28C2 ⊆ Aut C222244-C2^2.7(C56:C2)448,74
C22.8(C56⋊C2) = C23.34D28φ: C56⋊C2/D28C2 ⊆ Aut C22224C2^2.8(C56:C2)448,255
C22.9(C56⋊C2) = C28.9C42central extension (φ=1)448C2^2.9(C56:C2)448,108
C22.10(C56⋊C2) = C2×C28.44D4central extension (φ=1)448C2^2.10(C56:C2)448,637
C22.11(C56⋊C2) = C2×C8⋊Dic7central extension (φ=1)448C2^2.11(C56:C2)448,638
C22.12(C56⋊C2) = C2×C2.D56central extension (φ=1)224C2^2.12(C56:C2)448,646

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