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

Direct product G=N×Q with N=C22 and Q=C2×C56

Semidirect products G=N:Q with N=C22 and Q=C2×C56
extensionφ:Q→Aut NdρLabelID
C221(C2×C56) = D4×C56φ: C2×C56/C56C2 ⊆ Aut C22224C2^2:1(C2xC56)448,842
C222(C2×C56) = C14×C22⋊C8φ: C2×C56/C2×C28C2 ⊆ Aut C22224C2^2:2(C2xC56)448,814

Non-split extensions G=N.Q with N=C22 and Q=C2×C56
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C56) = C7×D4○C16φ: C2×C56/C56C2 ⊆ Aut C222242C2^2.1(C2xC56)448,912
C22.2(C2×C56) = C7×C23⋊C8φ: C2×C56/C2×C28C2 ⊆ Aut C22112C2^2.2(C2xC56)448,127
C22.3(C2×C56) = C7×C22.M4(2)φ: C2×C56/C2×C28C2 ⊆ Aut C22224C2^2.3(C2xC56)448,128
C22.4(C2×C56) = C7×C23.C8φ: C2×C56/C2×C28C2 ⊆ Aut C221124C2^2.4(C2xC56)448,153
C22.5(C2×C56) = C7×C42.12C4φ: C2×C56/C2×C28C2 ⊆ Aut C22224C2^2.5(C2xC56)448,839
C22.6(C2×C56) = C14×M5(2)φ: C2×C56/C2×C28C2 ⊆ Aut C22224C2^2.6(C2xC56)448,911
C22.7(C2×C56) = C7×C22.7C42central extension (φ=1)448C2^2.7(C2xC56)448,140
C22.8(C2×C56) = C7×C165C4central extension (φ=1)448C2^2.8(C2xC56)448,150
C22.9(C2×C56) = C7×C22⋊C16central extension (φ=1)224C2^2.9(C2xC56)448,152
C22.10(C2×C56) = C7×C4⋊C16central extension (φ=1)448C2^2.10(C2xC56)448,167
C22.11(C2×C56) = C14×C4⋊C8central extension (φ=1)448C2^2.11(C2xC56)448,830