C₅⋊D₅×C₅₈₇ #44440220

order	29350
automorphism	?
homology	Abelianization (H₁) = C₂×C₅₈₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅⋊D₅×C₅₈₇
unambiguous semidirect product	C₅⋊(D₅×C₅₈₇)

Fitting, socle, Hall	C₅²×C₅₈₇ ⋊ C₂
derived, Sylow	C₅² ⋊ C₂×C₅₈₇

	subgroup	G/H
center, hypercenter	C₅₈₇	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₅₈₇
Frattini	C₁	G
Fitting, socle	C₅²×C₅₈₇	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₅₈₇

32 conjugacy classes of subgroups.

μ_t(G) = 14675

8218 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29350, 9);