#26123095

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₂×C₄₇×#336 ⋊ C₂
Sylow	C₄₇ ⋊ #11025

1334 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=g,d^2=h,f^2=h,g^2=h,b^a=bd,c^a=ce,d^a=dh,f^a=fh,i^a=i^46,c^b=cf,d^b=dh,f^b=fh,i^b=i^46,d^c=dh,f^c=fh,i^c=i^46

1904 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 76385);