C₃×D₃₅×D₈₅ #49087894

order	35700
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₃₅×D₈₅

	subgroup	G/H
center, hypercenter	C₃	D₃₅×D₈₅
commutator, cosocle, hypocenter	C₅²×C₇×C₁₇	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₇×C₁₇	C₂²
LCS	G ▷ C₅²×C₇×C₁₇
UCS	C₁ ◁ C₃

192 conjugacy classes of subgroups; only the 52 normal subgroups are shown.

normal subgroups only

This group has 192 conjugacy classes of subgroups — too many to draw. Only its 52 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 3570

2508 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35700, 368);