C₃³×C₃₇₃⋊C₃ #44475099

order	30213
automorphism	?
homology	Abelianization (H₁) = C₃⁴ · Schur multiplier (H₂) = C₃⁶

Aliases

direct product	C₃³×C₃₇₃⋊C₃
unambiguous semidirect product	C₃₇₃⋊C₃⁴
unambiguous semidirect product	(C₃×C₃₇₃)⋊C₃³

Fitting, socle	C₃³×C₃₇₃ ⋊ C₃
derived, Sylow	C₃₇₃ ⋊ C₃⁴

	subgroup	G/H
center, hypercenter	C₃³	C₃₇₃⋊C₃
commutator, cosocle, hypocenter	C₃₇₃	C₃⁴
Frattini	C₁	G
Fitting, socle	C₃³×C₃₇₃	C₃
LCS	G ▷ C₃₇₃
UCS	C₁ ◁ C₃³

424 conjugacy classes of subgroups.

μ_t(G) = 10071

3429 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30213, 49);