C₃×D₃×D₇×C₄₁ #23780206

order	10332
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄₁ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₃×D₇×C₄₁

	subgroup	G/H
center, hypercenter	C₃×C₄₁	D₃×D₇
commutator, cosocle, hypocenter	C₃×C₇	C₂²×C₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₄₁	C₂²
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₃×C₄₁

88 conjugacy classes of subgroups.

1845 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10332, 88);