C₁₁⋊(ΓL(1,𝔽₈)⋊Dic₂₅) #37528222

order	23100
automorphism	?
homology	Abelianization (H₁) = C₃×C₄ · Schur multiplier (H₂) = C₁

Aliases

unambiguous semidirect product	C₁₁⋊(ΓL(1,𝔽₈)⋊Dic₂₅)
unambiguous semidirect product	ΓL(1,𝔽₈)⋊Dic₂₇₅
unambiguous semidirect product	Dic₁₉₂₅⋊C₃

72 conjugacy classes of subgroups.

μ_t(G) = 7700

Polycyclic presentation:

2,3,5,7,11,2,5|a^2=f,c^5=g^4,c^a=c^4g,d^a=d^6,e^a=e^10,g^a=g^4,d^b=d^2

1384 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23100, 33);