C₂×C₅²×C₁₇×D₂₁ #49088053

order	35700
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅²×C₁₇ · Schur multiplier (H₂) = C₂×C₅

Aliases

direct product	C₂×C₅²×C₁₇×D₂₁
unambiguous semidirect product	(C₂×C₃)⋊(C₅²×D₇×C₁₇)
unambiguous semidirect product	(C₂×C₇)⋊(C₅²×D₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₂×C₅²×C₁₇	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂²×C₅²×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅²×C₇×C₁₇	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₂×C₅²×C₁₇

320 conjugacy classes of subgroups.

μ_t(G) = 17850

10200 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35700, 527);