#31823591

order	17984
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂

Aliases

No aliases for this group.

C₂₈₁ ⋊ #446

	subgroup	G/H
center, Frattini	C₂×C₄	C₂²×D₂₈₁
commutator, socle, prime radical	C₂²×C₂₈₁	C₂²×C₄
Fitting	#97×C₂₈₁	C₂
cosocle	C₂×C₄×C₂₈₁	C₂³
hypercenter	#97	D₂₈₁
hypocenter	C₂₈₁	#446
LCS	G ▷ C₂²×C₂₈₁ ▷ C₂₈₁
UCS	C₁ ◁ C₂×C₄ ◁ #97

94 conjugacy classes of subgroups.

μ_t(G) = 17984

Polycyclic presentation:

2^6,281|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,c^a=cf,g^b=g^280

2828 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17984, 677);