Finite Group Databasebeta

← Group #30694

Character table — Group #30694

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111122222244448888888888888888881616161616
order1222224444888822444444444488888824488
χ11111111111111111111111111111111111111
χ2111111111111111-11-11-1-1-11-1111111-1-1-1-1-11-1
χ311111111111111-11-11-11-1-1-11111-1-1111-1-1-1-11
χ411111111111111-1-1-1-1-1-111-1-1111-1-11-1-1111-1-1
χ5111111111111-1-11111-1111-11-1-11-1-1-1-1-1-11-11-1
χ6111111111111-1-11-11-1-1-1-1-1-1-1-1-11-1-1-1111-1111
χ7111111111111-1-1-11-1111-1-111-1-1111-1-1-11-11-1-1
χ8111111111111-1-1-1-1-1-11-1111-1-1-1111-111-11-1-11
χ91111111111-1-11111111-1-1-11-1-1-1-1-1-111111-1-1-1
χ101111111111-1-1111-11-1111111-1-1-1-1-11-1-1-1-11-11
χ111111111111-1-111-11-11-1-111-1-1-1-1-111111-1-111-1
χ121111111111-1-111-1-1-1-1-11-1-1-11-1-1-1111-1-111-111
χ131111111111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-111-11
χ141111111111-1-1-1-11-11-1-1111-1111-111-1111-1-1-1-1
χ151111111111-1-1-1-1-11-111-1111-111-1-1-1-1-1-11-1-111
χ161111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1111-1
χ172222-2-22-2-22002220-20-20002000000-20000000
χ182222-2-22-2-220022-20202000-2000000-20000000
χ192222-2-22-2-2200-2-220-202000-200000020000000
χ202222-2-22-2-2200-2-2-2020-2000200000020000000
χ212222-2-2-222-22200020-20-2000200-20000000000
χ222222-2-2-222-222000-20202000-200-20000000000
χ232222-2-2-222-2-2-200020-202000-20020000000000
χ242222-2-2-222-2-2-2000-2020-200020020000000000
χ2522-2-22-2-22-2200000000002i−2i000002i−2i02-200000
χ2622-2-22-2-22-2200000000002i−2i00000−2i2i0-2200000
χ2722-2-22-2-22-220000000000−2i2i000002i−2i0-2200000
χ2822-2-22-2-22-220000000000−2i2i00000−2i2i02-200000
χ29444444-4-4-4-4000000000000000000000000000
χ3044-4-44-44-44-4000000000000000000000000000
χ3144-4-4-4444-4-4000000000000000000000000000
χ3244-4-4-44-4-444000000000000000000000000000
χ334-44-40000002i2−2i22i2−2i200000000002-200000000000
χ344-44-40000002i2−2i2−2i22i20000000000-2200000000000
χ354-44-4000000−2i22i22i2−2i20000000000-2200000000000
χ364-44-4000000−2i22i2−2i22i200000000002-200000000000
χ378-8-88000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).