C₇×C₄₁×D₃₉ #36375594

order	22386
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₄₁×D₃₉
unambiguous semidirect product	C₃⋊(C₇×D₁₃×C₄₁)
unambiguous semidirect product	C₁₃⋊(D₃×C₇×C₄₁)

	subgroup	G/H
center, hypercenter	C₇×C₄₁	D₃₉
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₇×C₄₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₄₁	C₂
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₇×C₄₁

32 conjugacy classes of subgroups.

μ_t(G) = 11193

6027 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22386, 15);