C₂×C₁₃×C₃₇₃⋊C₃ #44414798

order	29094
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₃×C₃₇₃⋊C₃
unambiguous semidirect product	(C₂×C₃₇₃)⋊(C₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₁₃	C₃₇₃⋊C₃
commutator, cosocle, hypocenter	C₃₇₃	C₂×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₁₃×C₃₇₃	C₃
LCS	G ▷ C₃₇₃
UCS	C₁ ◁ C₂×C₁₃

16 conjugacy classes of subgroups.

μ_t(G) = 9698

3302 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29094, 2);