Unitary Group U3(8)

Group: U₃(8)
Order: 2⁹·3⁴·7 ·19

Characteristic	Block	Dimension	Subgroups	Generators	Ext-quiver	Links
3	1	15282	N_G(H): 122 H: <b²>	z₈, z₇, a		Basic Algebra
3	2, 3, 4	42	N_G(H): 251 H: <b^-5ab⁵, b^-4ab⁴, b^-3ab³, b^-2ab², b^-1ab, a, b^-2a²b², b^-1a²b, a²>	z₁, z₄, a^-1b⁵a^-1b²		Basic Algebra
7	1	14	N_G(H): 251 H: <b^-5ab⁵, b^-4ab⁴, b^-3ab³, b^-2ab², b^-1ab, a, b^-2a²b², b^-1a²b, a², a^-1b⁵a^-1b²>	z₁, ab²ab²a^-1b^-1		Basic Algebra
7	3, 4	42	N_G(H): 251 H: <b^-5ab⁵, b^-4ab⁴, b^-3ab³, b^-2ab², b^-1ab, a, b^-2a²b², b^-1a²b, a²>	z₃, ab²ab²a^-1b^-1		Basic Algebra
19	1	884	N_G(H): 232 H: <da, abc^-1, ba, bcbc^-1>	z₂, z₆		Basic Algebra