C₂×C₅²×#453 #72221339

order	3200
nilpotency class	3
isoclinism	isoclinic class of #453
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₅² · Schur multiplier (H₂) = C₂⁶×C₅

Aliases

C₂×C₅²×#453

	subgroup	G/H
center, socle	C₂²×C₅²	#120
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₅²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅² ◁ C₂²×C₄×C₅² ◁ G

3376 conjugacy classes of subgroups.

800 conjugacy classes. The character table is too large to display.

maximal subgroup of	C₂×C₅⋊D₅×#453
maximal normal subgroup of	C₂×C₅⋊D₅×#453

Past the SmallGroups library coverage — no SmallGroups id.