C₁₇×D₉₈₃ #45689237

order	33422
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₉₈₃
unambiguous semidirect product	C₉₈₃⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₉₈₃ ⋊ C₂
derived, Sylow	C₉₈₃ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₉₈₃
commutator, cosocle, hypocenter	C₉₈₃	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₉₈₃	C₂
LCS	G ▷ C₉₈₃
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 16711

8381 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33422, 2);