#44416955

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

Aliases

No aliases for this group.

C₄₅₇ ⋊ #455

152 conjugacy classes of subgroups.

μ_t(G) = 7312

Polycyclic presentation:

2^6,457|a^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^456,d^b=df,e^b=ef,d^c=df

3892 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29248, 727);