C₁₇×C₃₁×C₅⋊D₅ #39912239

order	26350
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₃₁ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₁₇×C₃₁×C₅⋊D₅
unambiguous semidirect product	C₅⋊(D₅×C₁₇×C₃₁)

	subgroup	G/H
center, hypercenter	C₁₇×C₃₁	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₁₇×C₃₁
Frattini	C₁	G
Fitting, socle	C₅²×C₁₇×C₃₁	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₁₇×C₃₁

64 conjugacy classes of subgroups.

μ_t(G) = 13175

7378 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26350, 29);