C₉₇×D₁₉₃ #49153646

order	37442
automorphism	?
homology	Abelianization (H₁) = C₂×C₉₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₉₇×D₁₉₃
unambiguous semidirect product	C₁₉₃⋊(C₂×C₉₇)

Fitting, socle, Hall	C₉₇×C₁₉₃ ⋊ C₂
derived, Sylow	C₁₉₃ ⋊ C₂×C₉₇

	subgroup	G/H
center, hypercenter	C₉₇	D₁₉₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₉₇
Frattini	C₁	G
Fitting, socle	C₉₇×C₁₉₃	C₂
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₉₇

8 conjugacy classes of subgroups.

μ_t(G) = 18721

9506 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37442, 2);