#32975384

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂×C₄²

Aliases

No aliases for this group.

Fitting	C₇₃×#1274 ⋊ C₂
Sylow	C₇₃ ⋊ #7855

706 conjugacy classes of subgroups; only the 175 normal subgroups are shown.

normal subgroups only

This group has 706 conjugacy classes of subgroups — too many to draw. Only its 175 normal subgroups are shown.

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

μ_t(G) = 2336

Polycyclic presentation:

2^8,73|a^2=e,b^2=f,d^2=g,e^2=h,b^a=bd,c^a=ch,f^a=fg,e^b=eg,i^c=i^72

1648 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 58968);