(C₂×D₈₃₉)⋊C₈ #41001469

order	26848
automorphism	?
homology	Abelianization (H₁) = C₂×C₈ · Schur multiplier (H₂) = C₂²

Aliases

(C₂×D₈₃₉)⋊C₈

Fitting	C₂×C₈×C₈₃₉ ⋊ C₂
Sylow	C₈₃₉ ⋊ C₂²⋊C₈

50 conjugacy classes of subgroups.

μ_t(G) = 13424

Polycyclic presentation:

2^5,839|a^2=d,d^2=e,b^a=bc,f^b=f^838

6724 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26848, 58);