#25105619

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₂²×C₂²⋊C₈×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #21760

1518 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=g,d^2=h,f^2=h,b^a=be,c^a=cf,d^a=de,f^a=fh,i^a=i^42,c^b=ce,f^c=fh,i^c=i^42

1744 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 178590);