C₂×C₇×D₁₃×C₈₉ #44569322

order	32396
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₈₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×D₁₃×C₈₉
unambiguous semidirect product	C₁₃⋊(C₂²×C₇×C₈₉)
unambiguous semidirect product	(C₂×C₁₃)⋊(C₂×C₇×C₈₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₈₉	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₇×C₈₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₈₉	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂×C₇×C₈₉

40 conjugacy classes of subgroups.

μ_t(G) = 16198

9968 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32396, 30);