C₂×C₃×D₃×C₁₃×C₇₉ #49149658

order	36972
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃×C₇₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×D₃×C₁₃×C₇₉
unambiguous semidirect product	C₃⋊(C₂²×C₃×C₁₃×C₇₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₃×C₁₃×C₇₉)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₃×C₇₉	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₃×C₁₃×C₇₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₃×C₇₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₁₃×C₇₉

88 conjugacy classes of subgroups.

μ_t(G) = 12324

18486 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36972, 306);