#28353545

order	13851
automorphism	?
homology	Abelianization (H₁) = C₃²×C₉ · Schur multiplier (H₂) = C₃²×C₉

Aliases

No aliases for this group.

Fitting	C₃×C₉²×C₁₉ ⋊ C₃
Sylow	C₁₉ ⋊ #10624557

410 conjugacy classes of subgroups; only the 130 normal subgroups are shown.

normal subgroups only

This group has 410 conjugacy classes of subgroups — too many to draw. Only its 130 normal subgroups are shown.

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

μ_t(G) = 4617

Polycyclic presentation:

3^6,19|a^3=f,b^3=f,c^3=d,b^a=bd,c^a=ce,g^a=g^7

1611 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 909);