D₃₇×C₃₇₃ #42120091

order	27602
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃₇×C₃₇₃
unambiguous semidirect product	C₃₇⋊(C₂×C₃₇₃)

Fitting, socle, Hall	C₃₇×C₃₇₃ ⋊ C₂
derived, Sylow	C₃₇ ⋊ C₂×C₃₇₃

	subgroup	G/H
center, hypercenter	C₃₇₃	D₃₇
commutator, cosocle, hypocenter	C₃₇	C₂×C₃₇₃
Frattini	C₁	G
Fitting, socle	C₃₇×C₃₇₃	C₂
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₃₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 13801

7460 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27602, 1);