#34001930

order	18688
automorphism	?
homology	Abelianization (H₁) = C₄²×C₈ · Schur multiplier (H₂) = C₂×C₄×C₈

Aliases

No aliases for this group.

Fitting	C₈²×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ #7841

574 conjugacy classes of subgroups; only the 260 normal subgroups are shown.

normal subgroups only

This group has 574 conjugacy classes of subgroups — too many to draw. Only its 260 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=d,b^2=e,c^2=f,d^2=g,e^2=h,c^b=cg,i^c=i^27,i^f=i^72

1312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1085514);