D₉×C₁₉×C₇⋊D₇ #45691675

order	33516
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂×C₇

Aliases

direct product	D₉×C₁₉×C₇⋊D₇
unambiguous semidirect product	(C₇×D₉)⋊(D₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	D₉×C₇⋊D₇
commutator, cosocle, hypocenter	C₇²×C₉	C₂²×C₁₉
Frattini	C₃	D₃×C₁₉×C₇⋊D₇
Fitting	C₇²×C₉×C₁₉	C₂²
socle	C₃×C₇²×C₁₉	C₂×D₃
LCS	G ▷ C₇²×C₉
UCS	C₁ ◁ C₁₉

300 conjugacy classes of subgroups.

μ_t(G) = 8379

2964 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33516, 473);