C₂×C₇×C₁₃⋊C₃×C₄₁ #36375581

order	22386
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₇×C₁₃⋊C₃×C₄₁
unambiguous semidirect product	(C₂×C₁₃)⋊(C₃×C₇×C₄₁)
unambiguous semidirect product	(C₂×C₁₃×C₄₁)⋊(C₃×C₇)

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

32 conjugacy classes of subgroups.

μ_t(G) = 7462

4018 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22386, 2);