#34014593

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

Aliases

No aliases for this group.

Fitting	C₄³×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ #13757

1598 conjugacy classes of subgroups; only the 440 normal subgroups are shown.

normal subgroups only

This group has 1598 conjugacy classes of subgroups — too many to draw. Only its 440 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=g,b^2=h,c^2=e,d^2=f,b^a=be,c^a=cf,i^a=i^27,i^g=i^72

1264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1098177);