#26223134

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

Aliases

No aliases for this group.

Fitting	C₄₇×#1773 ⋊ C₂
Sylow	C₄₇ ⋊ #21551

938 conjugacy classes of subgroups.

Polycyclic presentation:

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

1076 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 176424);