Group: S₄(4)
Order: 2⁸·3²·5²·17

Characteristic	Block	Dimension	Subgroups	Generators	Ext-quiver	Links
3	1	72	NG(H): 483 H: <baba-2b-1ab-1, (ba)3, (ab)3, a2bababa-1, ab-1a-2ba, a2b-1a-2b, a-2babab, b-1a-2bab-1a-1ba-1>	z3, z1, ab-1a-1b-1a-2, a3babab		Basic Algebra
	3,4,5,6	33	NG(H): 482 H: <bc-1a-1ba-1c-1, a-2c-1a2c, baba-1, abcacb, a-1bc-1bca, bc-1bc, bcbc-1>	z8, z1, z2, ac-1bc-1ba-1c		Basic Algebra
5	1	469	NG(H): 395 H: <a2, c2, acac-1, ca, ba>	z4, z8, z9		Basic Algebra
	3,4	38	NG(H): 435 H: <a, b>	z9, z10, z11		Basic Algebra
17	1	96	NG(H): 441 H: <aba-1ba-1ba-1ba-1b, bababa-1ba, ba-1bababa-1>	z9, z8		Basic Algebra