D₆₃×C₂₉₃ #49147299

order	36918
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₆₃×C₂₉₃
unambiguous semidirect product	C₇⋊(D₉×C₂₉₃)
unambiguous semidirect product	C₉⋊(D₇×C₂₉₃)

	subgroup	G/H
center, hypercenter	C₂₉₃	D₆₃
commutator, cosocle, hypocenter	C₇×C₉	C₂×C₂₉₃
Frattini	C₃	D₂₁×C₂₉₃
Fitting	C₇×C₉×C₂₉₃	C₂
socle	C₃×C₇×C₂₉₃	D₃
LCS	G ▷ C₇×C₉
UCS	C₁ ◁ C₂₉₃

24 conjugacy classes of subgroups.

μ_t(G) = 18459

9669 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36918, 8);