#33007601

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂³×C₄³

Aliases

No aliases for this group.

Fitting	C₇₃×#1437 ⋊ C₂
Sylow	C₇₃ ⋊ #13827

2878 conjugacy classes of subgroups; only the 427 normal subgroups are shown.

normal subgroups only

This group has 2878 conjugacy classes of subgroups — too many to draw. Only its 427 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,b^a=be,c^a=cf,d^a=def,c^b=cef,d^b=de,i^d=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, 91185);