#33051664

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂³×C₄

Aliases

No aliases for this group.

Fitting	C₇₃×#1454 ⋊ C₂
Sylow	C₇₃ ⋊ #17329

718 conjugacy classes of subgroups.

μ_t(G) = 9344

Polycyclic presentation:

2^8,73|a^2=e,b^2=f,e^2=g,f^2=h,b^a=bg,c^a=ch,i^a=i^72,i^b=i^72,d^c=dg,i^d=i^72

2104 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 135248);