D₃×C₇²×C₇₉ #37551176

order	23226
automorphism	?
homology	Abelianization (H₁) = C₂×C₇²×C₇₉ · Schur multiplier (H₂) = C₇

Aliases

direct product	D₃×C₇²×C₇₉
unambiguous semidirect product	C₃⋊(C₂×C₇²×C₇₉)

	subgroup	G/H
center, hypercenter	C₇²×C₇₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₇²×C₇₉
Frattini	C₁	G
Fitting, socle	C₃×C₇²×C₇₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₇²×C₇₉

80 conjugacy classes of subgroups.

μ_t(G) = 11613

11613 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23226, 95);