C₂×C₁₃⋊C₃×C₃₇₃ #44414799

order	29094
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₃₇₃ · Schur multiplier (H₂) = C₁

Aliases

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

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

16 conjugacy classes of subgroups.

μ_t(G) = 9698

5222 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29094, 3);