C₂×C₅⋊D₅×C₁₉₁ #34061973

order	19100
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉₁ · Schur multiplier (H₂) = C₂×C₅

Aliases

direct product	C₂×C₅⋊D₅×C₁₉₁
unambiguous semidirect product	(C₂×C₅)⋊(D₅×C₁₉₁)

	subgroup	G/H
center, hypercenter	C₂×C₁₉₁	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂²×C₁₉₁
Frattini	C₁	G
Fitting, socle	C₂×C₅²×C₁₉₁	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂×C₁₉₁

80 conjugacy classes of subgroups.

μ_t(G) = 9550

5348 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19100, 48);