C₁₇×D₈₃₉ #43250169

order	28526
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₈₃₉
unambiguous semidirect product	C₈₃₉⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₈₃₉ ⋊ C₂
derived, Sylow	C₈₃₉ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₈₃₉
commutator, cosocle, hypocenter	C₈₃₉	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₈₃₉	C₂
LCS	G ▷ C₈₃₉
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 14263

7157 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28526, 2);