Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C52

Direct product G=N×Q with N=C22 and Q=C2×C52

Semidirect products G=N:Q with N=C22 and Q=C2×C52
extensionφ:Q→Aut NdρLabelID
C221(C2×C52) = D4×C52φ: C2×C52/C52C2 ⊆ Aut C22208C2^2:1(C2xC52)416,179
C222(C2×C52) = C22⋊C4×C26φ: C2×C52/C2×C26C2 ⊆ Aut C22208C2^2:2(C2xC52)416,176

Non-split extensions G=N.Q with N=C22 and Q=C2×C52
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C52) = C13×C8○D4φ: C2×C52/C52C2 ⊆ Aut C222082C2^2.1(C2xC52)416,192
C22.2(C2×C52) = C13×C23⋊C4φ: C2×C52/C2×C26C2 ⊆ Aut C221044C2^2.2(C2xC52)416,49
C22.3(C2×C52) = C13×C4.D4φ: C2×C52/C2×C26C2 ⊆ Aut C221044C2^2.3(C2xC52)416,50
C22.4(C2×C52) = C13×C4.10D4φ: C2×C52/C2×C26C2 ⊆ Aut C222084C2^2.4(C2xC52)416,51
C22.5(C2×C52) = C13×C42⋊C2φ: C2×C52/C2×C26C2 ⊆ Aut C22208C2^2.5(C2xC52)416,178
C22.6(C2×C52) = M4(2)×C26φ: C2×C52/C2×C26C2 ⊆ Aut C22208C2^2.6(C2xC52)416,191
C22.7(C2×C52) = C13×C2.C42central extension (φ=1)416C2^2.7(C2xC52)416,45
C22.8(C2×C52) = C13×C8⋊C4central extension (φ=1)416C2^2.8(C2xC52)416,47
C22.9(C2×C52) = C13×C22⋊C8central extension (φ=1)208C2^2.9(C2xC52)416,48
C22.10(C2×C52) = C13×C4⋊C8central extension (φ=1)416C2^2.10(C2xC52)416,55
C22.11(C2×C52) = C4⋊C4×C26central extension (φ=1)416C2^2.11(C2xC52)416,177