C₂×D₃×C₁₉×C₁₂₇ #44394202

order	28956
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₁₂₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₁₉×C₁₂₇
unambiguous semidirect product	C₃⋊(C₂²×C₁₉×C₁₂₇)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₁₉×C₁₂₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₁₂₇	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₁₉×C₁₂₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₂₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₁₉×C₁₂₇

40 conjugacy classes of subgroups.

μ_t(G) = 14478

14478 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28956, 61);