#36442290

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂×C₄ · Schur multiplier (H₂) = C₄

Aliases

No aliases for this group.

C₈₉ ⋊ #7531

146 conjugacy classes of subgroups.

μ_t(G) = 2848

Polycyclic presentation:

2^8,89|a^2=d,c^2=fg,d^2=h,e^2=gh,f^2=h,b^a=bc,c^a=ce,e^a=ef,f^a=fg,g^a=gh,i^a=i^88,c^b=cfgh,d^b=def,e^b=egh,f^b=fh,d^c=dfg,e^d=egh,f^d=fh

1697 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 57430);