#33006625

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

Fitting	C₇₃×C₂²⋊C₃₂ ⋊ C₂
Sylow	C₇₃ ⋊ #13661

334 conjugacy classes of subgroups; only the 67 normal subgroups are shown.

normal subgroups only

This group has 334 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.

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

μ_t(G) = 4672

Polycyclic presentation:

2^8,73|d^2=fg,f^2=gh,g^2=h,b^a=bd,c^a=ce,d^a=df,f^a=fg,g^a=gh,i^a=i^72,d^b=df,f^b=fg,g^b=gh,i^b=i^72

2929 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 90209);