C₃×C₅⋊D₅×D₄₉ #28412972

order	14700
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂×C₅

Aliases

C₃×C₅⋊D₅×D₄₉

	subgroup	G/H
center, hypercenter	C₃	C₅⋊D₅×D₄₉
commutator, cosocle, hypocenter	C₅²×C₄₉	C₂²×C₃
Frattini	C₇	C₃×D₇×C₅⋊D₅
Fitting	C₃×C₅²×C₄₉	C₂²
socle	C₃×C₅²×C₇	C₂×D₇
LCS	G ▷ C₅²×C₄₉
UCS	C₁ ◁ C₃

240 conjugacy classes of subgroups.

1092 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14700, 151);