#44417256

order	29248
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₄×D₄×C₄₅₇ ⋊ C₂
Sylow	C₄₅₇ ⋊ #520

294 conjugacy classes of subgroups; only the 151 normal subgroups are shown.

normal subgroups only

This group has 294 conjugacy classes of subgroups — too many to draw. Only its 151 normal subgroups are shown.

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

μ_t(G) = 14624

Polycyclic presentation:

2^6,457|a^2=f,d^2=e,b^a=be,d^a=de,c^b=ce,g^d=g^456

4594 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29248, 1028);