C₂×C₃²×D₇×C₄₁ #23780246

order	10332
isoclinism	isoclinic class of D₇
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₄₁ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×D₇×C₄₁

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₄₁	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃²×C₄₁
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇×C₄₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃²×C₄₁

120 conjugacy classes of subgroups.

3690 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10332, 128);