D₃×D₇×C₁₇×C₂₅ #49087601

order	35700
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇×C₂₅ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×D₇×C₁₇×C₂₅
unambiguous semidirect product	(D₃×C₇)⋊(C₂×C₁₇×C₂₅)
unambiguous semidirect product	(C₃×D₇)⋊(C₂×C₁₇×C₂₅)
unambiguous semidirect product	D₂₁⋊(C₂×C₁₇×C₂₅)

120 conjugacy classes of subgroups; only the 60 normal subgroups are shown.

normal subgroups only

This group has 120 conjugacy classes of subgroups — too many to draw. Only its 60 normal subgroups are shown.

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

μ_t(G) = 8925

6375 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35700, 75);