C₇×C₁₅₄₃⋊C₃ #44569342

order	32403
automorphism	?
homology	Abelianization (H₁) = C₃×C₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₅₄₃⋊C₃
unambiguous semidirect product	C₁₅₄₃⋊(C₃×C₇)

Fitting, socle, Hall	C₇×C₁₅₄₃ ⋊ C₃
derived, Sylow	C₁₅₄₃ ⋊ C₃×C₇

	subgroup	G/H
center, hypercenter	C₇	C₁₅₄₃⋊C₃
commutator, cosocle, hypocenter	C₁₅₄₃	C₃×C₇
Frattini	C₁	G
Fitting, socle	C₇×C₁₅₄₃	C₃
LCS	G ▷ C₁₅₄₃
UCS	C₁ ◁ C₇

8 conjugacy classes of subgroups.

μ_t(G) = 10801

3619 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32403, 2);