#44509674

order	30848
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₄

Aliases

No aliases for this group.

C₂₄₁ ⋊ #2241

140 conjugacy classes of subgroups.

μ_t(G) = 30848

Polycyclic presentation:

2^7,241|a^2=g,b^2=e,c^2=d,d^2=fg,e^2=f,f^2=g,b^a=bd,c^a=ce,d^a=df,e^a=efg,f^a=fg,h^a=h^240,h^b=h^240,h^c=h^240

2678 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30848, 6739);