#33007625

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁴×C₄²

Aliases

No aliases for this group.

Fitting	C₇₃×C₂²⋊#95 ⋊ C₂
Sylow	C₇₃ ⋊ #13832

1998 conjugacy classes of subgroups.

μ_t(G) = 9344

Polycyclic presentation:

2^8,73|a^2=g,b^2=h,c^2=eg,b^a=be,c^a=cf,d^a=def,c^b=cef,d^b=de,i^b=i^72,i^c=i^72,i^d=i^72

2092 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 91209);