C₃×C₃₈₅₃⋊C₃ #46831785

order	34677
automorphism	?
homology	Abelianization (H₁) = C₃² · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₃₈₅₃⋊C₃
unambiguous semidirect product	C₃₈₅₃⋊C₃²
unambiguous semidirect product	(C₃×C₃₈₅₃)⋊C₃

Fitting, socle	C₃×C₃₈₅₃ ⋊ C₃
derived, Sylow	C₃₈₅₃ ⋊ C₃²

	subgroup	G/H
center, hypercenter	C₃	C₃₈₅₃⋊C₃
commutator, cosocle, hypocenter	C₃₈₅₃	C₃²
Frattini	C₁	G
Fitting, socle	C₃×C₃₈₅₃	C₃
LCS	G ▷ C₃₈₅₃
UCS	C₁ ◁ C₃

12 conjugacy classes of subgroups.

μ_t(G) = 11559

3861 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34677, 4);