C₂×C₅⋊D₅×C₁₉₃ #34064470

order	19300
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉₃ · Schur multiplier (H₂) = C₂×C₅

Aliases

direct product	C₂×C₅⋊D₅×C₁₉₃
unambiguous semidirect product	(C₂×C₅)⋊(D₅×C₁₉₃)

	subgroup	G/H
center, hypercenter	C₂×C₁₉₃	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂²×C₁₉₃
Frattini	C₁	G
Fitting, socle	C₂×C₅²×C₁₉₃	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂×C₁₉₃

80 conjugacy classes of subgroups.

μ_t(G) = 9650

5404 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19300, 47);