C₂×C₁₇×C₁₉×D₁₉ #37589490

order	24548
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₇×C₁₉×D₁₉
unambiguous semidirect product	C₁₉⋊(C₂²×C₁₇×C₁₉)
unambiguous semidirect product	(C₂×C₁₉)⋊(C₂×C₁₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₇×C₁₉	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂²×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₇×C₁₉²	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₁₇×C₁₉

76 conjugacy classes of subgroups.

μ_t(G) = 1292

7106 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24548, 30);