Finite Group Databasebeta

← Group #30697

Character table — Group #30697

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111122222244448888888888888888881616161616
order1222224444888822444444444488888844488
χ11111111111111111111111111111111111111
χ2111111111111111-11-11-11-1-1-1111111-1-1-1-1-11-1
χ311111111111111-11-11-11-11-1-1111-1-1111-1-1-1-11
χ411111111111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-1
χ5111111111111-1-111-1111-1111-1-11-1-1-1-1-11-1-11-1
χ6111111111111-1-11-1-1-11-1-1-1-1-1-1-11-1-1-111-11111
χ7111111111111-1-1-1111-1111-1-1-1-1111-1-1-1-111-1-1
χ8111111111111-1-1-1-11-1-1-11-111-1-1111-1111-1-1-11
χ91111111111-1-111111-1111-1-1-1-1-1-1-1-111111-1-1-1
χ101111111111-1-1111-1111-11111-1-1-1-1-11-1-1-1-11-11
χ111111111111-1-111-11-1-1-11-1-111-1-1-111111-1-111-1
χ121111111111-1-111-1-1-11-1-1-11-1-1-1-1-1111-1-111-111
χ131111111111-1-1-1-111-1-111-1-1-1-111-111-1-1-11-11-11
χ141111111111-1-1-1-11-1-111-1-111111-111-111-11-1-1-1
χ151111111111-1-1-1-1-111-1-111-11111-1-1-1-1-1-1-11-111
χ161111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-111-1
χ172222-2-22-2-22002220-20-20200000000-20000000
χ182222-2-22-2-220022-202020-200000000-20000000
χ192222-2-22-2-2200-2-22020-20-20000000020000000
χ202222-2-22-2-2200-2-2-20-202020000000020000000
χ212222-2-2-222-2220002020-20-20000-20000000000
χ222222-2-2-222-222000-20-202020000-20000000000
χ232222-2-2-222-2-2-200020-20-202000020000000000
χ242222-2-2-222-2-2-2000-202020-2000020000000000
χ252-22-22-2-22-220000000000002i−2i0002i−2i02-200000
χ262-22-22-2-22-220000000000002i−2i000−2i2i0-2200000
χ272-22-22-2-22-22000000000000−2i2i0002i−2i0-2200000
χ282-22-22-2-22-22000000000000−2i2i000−2i2i02-200000
χ29444444-4-4-4-4000000000000000000000000000
χ304-44-44-44-44-4000000000000000000000000000
χ314-44-4-4444-4-4000000000000000000000000000
χ324-44-4-44-4-444000000000000000000000000000
χ334-4-440000002i2−2i222−2200000000002i−2i00000000000
χ344-4-440000002i2−2i2−22220000000000−2i2i00000000000
χ354-4-44000000−2i22i222−220000000000−2i2i00000000000
χ364-4-44000000−2i22i2−222200000000002i−2i00000000000
χ3788-8-8000000000000000000000000000000000

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