C₇₃×D₁₉₃ #43245274

order	28178
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₃×D₁₉₃
unambiguous semidirect product	C₁₉₃⋊(C₂×C₇₃)

Fitting, socle, Hall	C₇₃×C₁₉₃ ⋊ C₂
derived, Sylow	C₁₉₃ ⋊ C₂×C₇₃

	subgroup	G/H
center, hypercenter	C₇₃	D₁₉₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₇₃
Frattini	C₁	G
Fitting, socle	C₇₃×C₁₉₃	C₂
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 14089

7154 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28178, 2);