C₂×C₃×D₁₉×C₁₂₇ #44394200

order	28956
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₂₇ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×D₁₉×C₁₂₇

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₂₇	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃×C₁₂₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₂₇	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₃×C₁₂₇

40 conjugacy classes of subgroups.

μ_t(G) = 14478

8382 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28956, 59);