#27135222

order	12352
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₂×M₁₆×C₁₉₃ ⋊ C₂
Sylow	C₁₉₃ ⋊ #407

190 conjugacy classes of subgroups.

Polycyclic presentation:

2^6,193|a^2=e,e^2=f,b^a=bd,c^a=cf,g^b=g^192

1948 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 512);