C₃⋊D₃×C₂₃×D₃₅ #44394651

order	28980
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₃⋊D₃×C₂₃×D₃₅

	subgroup	G/H
center, hypercenter	C₂₃	C₃⋊D₃×D₃₅
commutator, cosocle, hypocenter	C₃²×C₅×C₇	C₂²×C₂₃
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₇×C₂₃	C₂²
LCS	G ▷ C₃²×C₅×C₇
UCS	C₁ ◁ C₂₃

240 conjugacy classes of subgroups; only the 72 normal subgroups are shown.

normal subgroups only

This group has 240 conjugacy classes of subgroups — too many to draw. Only its 72 normal subgroups are shown.

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

μ_t(G) = 7245

2622 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28980, 320);