C₂×C₃²×C₅×C₁₃⋊D₁₃ #44478338

order	30420
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅ · Schur multiplier (H₂) = C₂×C₃×C₁₃

Aliases

C₂×C₃²×C₅×C₁₃⋊D₁₃

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₅	C₁₃⋊D₁₃
commutator, cosocle, hypocenter	C₁₃²	C₂²×C₃²×C₅
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₁₃²	C₂
LCS	G ▷ C₁₃²
UCS	C₁ ◁ C₂×C₃²×C₅

960 conjugacy classes of subgroups.

μ_t(G) = 15210

7740 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30420, 927);