C₂×C₃×C₇×C₁₉₃⋊C₃ #37566559

order	24318
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₂×C₃×C₇×C₁₉₃⋊C₃
unambiguous semidirect product	(C₂×C₁₉₃)⋊(C₃²×C₇)
unambiguous semidirect product	(C₂×C₃×C₁₉₃)⋊(C₃×C₇)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₇	C₁₉₃⋊C₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₃²×C₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₁₉₃	C₃
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₂×C₃×C₇

48 conjugacy classes of subgroups.

μ_t(G) = 8106

2814 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24318, 58);