#33087153

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

Fitting	C₂×#408×C₇₃ ⋊ C₂
Sylow	C₇₃ ⋊ #20900

1854 conjugacy classes of subgroups.

μ_t(G) = 9344

Polycyclic presentation:

2^8,73|a^2=g,b^2=eg,g^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^72,i^b=i^72,d^c=dh,i^c=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, 170737);