C₂×C₃×D₃×C₄₁⋊C₂₅ #49146707

order	36900
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₅ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×D₃×C₄₁⋊C₂₅
unambiguous semidirect product	C₃⋊(C₂²×C₃×C₄₁⋊C₂₅)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₃×C₄₁⋊C₂₅)
unambiguous semidirect product	(C₂×D₃×C₄₁)⋊(C₃×C₂₅)
unambiguous semidirect product	(C₂×C₃×D₃×C₄₁)⋊C₂₅

132 conjugacy classes of subgroups; only the 70 normal subgroups are shown.

normal subgroups only

This group has 132 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.

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

μ_t(G) = 12300

1170 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36900, 108);