C₁₉×D₇₇₃ #44440362

order	29374
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₇₇₃
unambiguous semidirect product	C₇₇₃⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₇₇₃ ⋊ C₂
derived, Sylow	C₇₇₃ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₇₇₃
commutator, cosocle, hypocenter	C₇₇₃	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₇₇₃	C₂
LCS	G ▷ C₇₇₃
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 14687

7372 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29374, 2);