D₇×D₉×C₁₉ #18012129

order	4788
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₇×D₉×C₁₉
unambiguous semidirect product	(C₇×D₉)⋊(C₂×C₁₉)
unambiguous semidirect product	(C₉×D₇)⋊(C₂×C₁₉)
unambiguous semidirect product	D₆₃⋊(C₂×C₁₉)

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

60 conjugacy classes of subgroups.

minimal degree	μ(G) = 35
transitive degree	μ_t(G) = 1197

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4788, 45);