D₇×C₁₉₃⋊C₉ #37566518

order	24318
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₁

Aliases

D₇×C₁₉₃⋊C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	D₇×C₁₉₃⋊C₃
commutator, hypocenter	C₇×C₁₉₃	C₂×C₉
Fitting, socle, cosocle	C₃×C₇×C₁₉₃	C₂×C₃
prime radical	C₃×D₇×C₁₉₃	C₃
LCS	G ▷ C₇×C₁₉₃
UCS	C₁ ◁ C₃

24 conjugacy classes of subgroups.

μ_t(G) = 12159

1005 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24318, 17);