#33006176

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₆ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₇₃×C₂²⋊C₃₂ ⋊ C₂
Sylow	C₇₃ ⋊ #13553

330 conjugacy classes of subgroups; only the 109 normal subgroups are shown.

normal subgroups only

This group has 330 conjugacy classes of subgroups — too many to draw. Only its 109 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|a^2=e,e^2=f,f^2=g,g^2=h,b^a=bd,c^a=ch,i^c=i^72

2992 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 89760);