C₂×C₃²×D₇×C₉₇ #37567995

order	24444
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₉₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×D₇×C₉₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₉₇	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃²×C₉₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇×C₉₇	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃²×C₉₇

120 conjugacy classes of subgroups.

μ_t(G) = 12222

8730 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24444, 258);