#26233169

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₄₇×#1763 ⋊ C₂
Sylow	C₄₇ ⋊ #22549

1118 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=g,b^2=e,c^2=eh,d^2=eh,f^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^46,c^b=ch,d^b=de,i^b=i^46,f^c=fh,i^d=i^46

1070 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 186459);