C₂×C₁₉×D₃₄₉ #40997308

order	26524
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₉×D₃₄₉
unambiguous semidirect product	C₃₄₉⋊(C₂²×C₁₉)
unambiguous semidirect product	(C₂×C₃₄₉)⋊(C₂×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	D₃₄₉
commutator, cosocle, hypocenter	C₃₄₉	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₃₄₉	C₂
LCS	G ▷ C₃₄₉
UCS	C₁ ◁ C₂×C₁₉

20 conjugacy classes of subgroups.

μ_t(G) = 13262

6688 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26524, 9);