(C₂×D₈₅₉)⋊C₈ #42117752

order	27488
automorphism	?
homology	Abelianization (H₁) = C₂×C₈ · Schur multiplier (H₂) = C₂²

Aliases

(C₂×D₈₅₉)⋊C₈

Fitting	C₂×C₈×C₈₅₉ ⋊ C₂
Sylow	C₈₅₉ ⋊ C₂²⋊C₈

50 conjugacy classes of subgroups.

μ_t(G) = 13744

Polycyclic presentation:

2^5,859|a^2=d,d^2=e,b^a=bc,f^b=f^858

6884 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27488, 58);