#33017341

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

No aliases for this group.

Fitting	C₂×C₄³×C₇₃ ⋊ C₂
Sylow	C₇₃ ⋊ #14711

1770 conjugacy classes of subgroups; only the 451 normal subgroups are shown.

normal subgroups only

This group has 1770 conjugacy classes of subgroups — too many to draw. Only its 451 normal subgroups are shown.

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

μ_t(G) = 9344

Polycyclic presentation:

2^8,73|a^2=h,b^2=eh,c^2=fg,d^2=f,b^a=be,c^a=cf,d^a=dg,i^a=i^72

4696 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 100925);