C₇×C₁₉×D₉₇ #38788713

order	25802
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₉₇
unambiguous semidirect product	C₉₇⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₉₇
commutator, cosocle, hypocenter	C₉₇	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₉₇	C₂
LCS	G ▷ C₉₇
UCS	C₁ ◁ C₇×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 12901

6650 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25802, 2);