C₃×D₇×C₁₅₁⋊C₅ #44540258

order	31710
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₇×C₁₅₁⋊C₅
unambiguous semidirect product	(C₃×D₇×C₁₅₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₃	D₇×C₁₅₁⋊C₅
commutator, cosocle, hypocenter	C₇×C₁₅₁	C₂×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₅₁	C₂×C₅
LCS	G ▷ C₇×C₁₅₁
UCS	C₁ ◁ C₃

32 conjugacy classes of subgroups.

μ_t(G) = 3171

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31710, 27);