Extensions 1→N→G→Q→1 with N=C25 and Q=C2×D4

Direct product G=N×Q with N=C25 and Q=C2×D4
dρLabelID
D4×C50200D4xC50400,46

Semidirect products G=N:Q with N=C25 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C251(C2×D4) = C2×D100φ: C2×D4/C2×C4C2 ⊆ Aut C25200C25:1(C2xD4)400,37
C252(C2×D4) = D4×D25φ: C2×D4/D4C2 ⊆ Aut C251004+C25:2(C2xD4)400,39
C253(C2×D4) = C2×C25⋊D4φ: C2×D4/C23C2 ⊆ Aut C25200C25:3(C2xD4)400,44


׿
×
𝔽