#26137642

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁴×C₄²

Aliases

No aliases for this group.

Fitting	C₂×C₄×C₂²⋊C₄×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ #13791

2194 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=g,b^2=h,d^2=eg,b^a=be,c^a=cf,d^a=de,c^b=ce,i^c=i^46

1928 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90932);