C₂×C₃²×C₄⋊(C₅⋊D₅) #72230639

order	3600
isoclinism	isoclinic class of #6045
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃² · Schur multiplier (H₂) = C₂³×C₃×C₅

Aliases

1296 conjugacy classes of subgroups; only the 450 normal subgroups are shown.

normal subgroups only

This group has 1296 conjugacy classes of subgroups — too many to draw. Only its 450 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 1800

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

maximal subgroup of	C₂×C₃²×D₄×C₅⋊D₅, C₂×C₃⋊D₃×C₄⋊(C₅⋊D₅), C₂×#72230586
maximal normal subgroup of	C₂×C₃²×D₄×C₅⋊D₅, C₂×C₃⋊D₃×C₄⋊(C₅⋊D₅), C₂×#72230586

Past the SmallGroups library coverage — no SmallGroups id.