C₂³×C₂²⋊#11924078 #49175756

order	37504
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹¹

Aliases

direct product	C₂³×C₂²⋊#11924078
unambiguous semidirect product	D₂₉₃⋊(C₂²×C₂²⋊C₄)
unambiguous semidirect product	(C₂×#11924078)⋊C₂⁴

Fitting	C₂⁵×C₂₉₃ ⋊ C₄
Sylow	C₂₉₃ ⋊ C₂³×C₂²⋊C₄

4632 conjugacy classes of subgroups; only the 1106 normal subgroups are shown.

normal subgroups only

This group has 4632 conjugacy classes of subgroups — too many to draw. Only its 1106 normal subgroups are shown.

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

μ_t(G) = 9376

2416 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37504, 21481);