C₇×C₂₉×D₇₅ #44478531

order	30450
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₂₉×D₇₅
unambiguous semidirect product	C₃⋊(C₇×C₂₉×D₂₅)
unambiguous semidirect product	C₂₅⋊(D₃×C₇×C₂₉)

	subgroup	G/H
center, hypercenter	C₇×C₂₉	D₇₅
commutator, cosocle, hypocenter	C₃×C₂₅	C₂×C₇×C₂₉
Frattini	C₅	C₇×C₂₉×D₁₅
Fitting	C₃×C₇×C₂₅×C₂₉	C₂
socle	C₃×C₅×C₇×C₂₉	D₅
LCS	G ▷ C₃×C₂₅
UCS	C₁ ◁ C₇×C₂₉

48 conjugacy classes of subgroups.

μ_t(G) = 15225

7917 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30450, 15);