C₁₇×D₄₅₇ #29509495

order	15538
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₄₅₇
unambiguous semidirect product	C₄₅₇⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₄₅₇ ⋊ C₂
derived, Sylow	C₄₅₇ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₄₅₇
commutator, cosocle, hypocenter	C₄₅₇	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₄₅₇	C₂
LCS	G ▷ C₄₅₇
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 7769

3910 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15538, 2);