D₃₇×C₃₄₉ #38788882

order	25826
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₄₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃₇×C₃₄₉
unambiguous semidirect product	C₃₇⋊(C₂×C₃₄₉)

Fitting, socle, Hall	C₃₇×C₃₄₉ ⋊ C₂
derived, Sylow	C₃₇ ⋊ C₂×C₃₄₉

	subgroup	G/H
center, hypercenter	C₃₄₉	D₃₇
commutator, cosocle, hypocenter	C₃₇	C₂×C₃₄₉
Frattini	C₁	G
Fitting, socle	C₃₇×C₃₄₉	C₂
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₃₄₉

8 conjugacy classes of subgroups.

μ_t(G) = 12913

6980 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25826, 1);