#26227403

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

Aliases

No aliases for this group.

Fitting	C₄₇×#1923 ⋊ C₂
Sylow	C₄₇ ⋊ #22039

1028 conjugacy classes of subgroups.

Polycyclic presentation:

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

1352 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 180693);