C₇₃×D₁₈₁ #40996172

order	26426
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₃×D₁₈₁
unambiguous semidirect product	C₁₈₁⋊(C₂×C₇₃)

Fitting, socle, Hall	C₇₃×C₁₈₁ ⋊ C₂
derived, Sylow	C₁₈₁ ⋊ C₂×C₇₃

	subgroup	G/H
center, hypercenter	C₇₃	D₁₈₁
commutator, cosocle, hypocenter	C₁₈₁	C₂×C₇₃
Frattini	C₁	G
Fitting, socle	C₇₃×C₁₈₁	C₂
LCS	G ▷ C₁₈₁
UCS	C₁ ◁ C₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 13213

6716 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26426, 2);