C₃²×D₇×D₁₄₉ #49176370

order	37548
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

C₃²×D₇×D₁₄₉

	subgroup	G/H
center, hypercenter	C₃²	D₇×D₁₄₉
commutator, cosocle, hypocenter	C₇×C₁₄₉	C₂²×C₃²
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₄₉	C₂²
LCS	G ▷ C₇×C₁₄₉
UCS	C₁ ◁ C₃²

120 conjugacy classes of subgroups.

μ_t(G) = 9387

3420 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37548, 89);