C₂×C₇×C₁₃×D₉₃ #46799639

order	33852
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×C₁₃×D₉₃
unambiguous semidirect product	(C₂×C₃)⋊(C₇×C₁₃×D₃₁)
unambiguous semidirect product	(C₂×C₃₁)⋊(D₃×C₇×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₃	D₉₃
commutator, cosocle, hypocenter	C₃×C₃₁	C₂²×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₁₃×C₃₁	C₂
LCS	G ▷ C₃×C₃₁
UCS	C₁ ◁ C₂×C₇×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 16926

8736 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 434);