C₇₉×D₁₉₃ #44479276

order	30494
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₉×D₁₉₃
unambiguous semidirect product	C₁₉₃⋊(C₂×C₇₉)

Fitting, socle, Hall	C₇₉×C₁₉₃ ⋊ C₂
derived, Sylow	C₁₉₃ ⋊ C₂×C₇₉

	subgroup	G/H
center, hypercenter	C₇₉	D₁₉₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₇₉
Frattini	C₁	G
Fitting, socle	C₇₉×C₁₉₃	C₂
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₇₉

8 conjugacy classes of subgroups.

μ_t(G) = 15247

7742 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30494, 2);