Finite Group Databasebeta

← Group #10780326

Character table — Group #10780326

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222224444444444444448888888888888812121212121216161616161616162424242424323248484848
order1222344446664888888121212122424242444812121212122424242424242444884488242424242488812122488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-11-11-111-1-1-1-111-11-11-11-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-11-11-1-111-1-111-1-11-11-11
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-11-111-1-111-1-111-1-11-11
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-11-11-1-11111-1-11-111-11-1
χ91111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1
χ101111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-1-111
χ111111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ121111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1
χ131111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-11111-1-11-1-11-1-11111-1-1-11-11-1-11
χ141111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-11111-1-1-111-111-1-111-1-1-1-11-111-1
χ151111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111-1-111-1
χ161111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1111-111-1-11
χ17222222-22-2222-20000002-2-2200002-2022-2-2-200000022-2-20000000000-22000000000
χ18222222-22-2222-20000002-2-2200002-2022-2-2-2000000-2-22200000000002-2000000000
χ19222222-22-2222-20000002-2-220000-220-2-2-22200000022-2-200000000002-2000000000
χ20222222-22-2222-20000002-2-220000-220-2-2-222000000-2-2220000000000-22000000000
χ2122222-22-22222-2000022-222-2222200-200-2000000-2-22-22-2-2-20000000000002000000
χ2222222-22-22222-2000022-222-2222200-200-2000000-2-2-22-2222000000000000-2000000
χ2322222-22-22222-20000-2-2-222-2-2-2-2-200200-2000000222-22-222000000000000-2000000
χ2422222-22-22222-20000-2-2-222-2-2-2-2-200200-200000022-22-22-2-20000000000002000000
χ2522222-2-2-2-222222i2i−2i−2i00-2-2-2-20000000002002i2i−2i−2i002-2-220000000000002i−2i0000000
χ2622222-2-2-2-222222i2i−2i−2i00-2-2-2-20000000002002i2i−2i−2i00-222-2000000000000−2i2i0000000
χ2722222-2-2-2-22222−2i−2i2i2i00-2-2-2-2000000000200−2i−2i2i2i002-2-22000000000000−2i2i0000000
χ2822222-2-2-2-22222−2i−2i2i2i00-2-2-2-2000000000200−2i−2i2i2i00-222-20000000000002i−2i0000000
χ292222-12222-1-1-12222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-10000002222-1-1-1-100000-1-10000
χ302222-12222-1-1-12222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2111100000110000
χ312222-12222-1-1-122222-2-2-1-1-1-11111-2-2-211-111-1-1-1-1110000002-22-2-1-11100000-110000
χ322222-12222-1-1-122222-2-2-1-1-1-11111-2-2-211-111-1-1-1-111000000-22-2211-1-1000001-10000
χ332222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-2-2211-1111111-1-100000022-2-2111100000-1-10000
χ342222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-2-2211-1111111-1-1000000-2-222-1-1-1-100000110000
χ352222-12222-1-1-12-2-2-2-2-2-2-1-1-1-1111122-2-1-1-1-1-11111110000002-2-2211-1-100000-110000
χ362222-12222-1-1-12-2-2-2-2-2-2-1-1-1-1111122-2-1-1-1-1-1111111000000-222-2-1-111000001-10000
χ374444-24-44-4-2-2-2-4000000-222-200004-40-2-22220000000000000000000000000000000
χ384444-24-44-4-2-2-2-4000000-222-20000-440222-2-20000000000000000000000000000000
χ394444-2-44-44-2-2-2-40000442-2-22-2-2-2-200-4002000000220000000000000000000000000
χ404444-2-44-44-2-2-2-40000-4-42-2-222222004002000000-2-20000000000000000000000000
χ414444-2-4-4-4-4-2-2-244i4i−4i−4i002222000000000-200−2i−2i2i2i000000000000000000000000000
χ424444-2-4-4-4-4-2-2-24−4i−4i4i4i002222000000000-2002i2i−2i−2i000000000000000000000000000
χ4344-4-4440-404-4-4022−2222−2200400-400000000000022−2222−22000000000000000000000000000
χ4444-4-4440-404-4-40−2222−222200400-4000000000000−2222−2222000000000000000000000000000
χ4544-4-44-40404-4-40−2i22i22i2−2i200-4004000000000000−2i22i22i2−2i2000000000000000000000000000
χ4644-4-44-40404-4-402i2−2i2−2i22i200-40040000000000002i2−2i2−2i22i2000000000000000000000000000
χ4744-4-4-240-40-222022−2222−2200-2002i6i6−i6−i6000−2i32i3000−22−22i6−i60000000000000000000000000
χ4844-4-4-240-40-222022−2222−2200-2002−i6−i6i6i60002i3−2i3000−22−22−i6i60000000000000000000000000
χ4944-4-4-240-40-2220−2222−222200-2002i6i6−i6−i60002i3−2i30002−22−2i6−i60000000000000000000000000
χ5044-4-4-240-40-2220−2222−222200-2002−i6−i6i6i6000−2i32i30002−22−2−i6i60000000000000000000000000
χ5144-4-4-2-4040-2220−2i22i22i2−2i200200-2i6i6−i6−i600000023−23i2−i2−i2i2−i6i60000000000000000000000000
χ5244-4-4-2-4040-2220−2i22i22i2−2i200200-2−i6−i6i6i6000000−2323i2−i2−i2i2i6−i60000000000000000000000000
χ5344-4-4-2-4040-22202i2−2i2−2i22i200200-2i6i6−i6−i6000000−2323−i2i2i2−i2−i6i60000000000000000000000000
χ5444-4-4-2-4040-22202i2−2i2−2i22i200200-2−i6−i6i6i600000023−23−i2i2i2−i2i6−i60000000000000000000000000
χ554-44-44040-4-44-4000004i−4i0-4404i−4i4i−4i000000000000000000000000000000000000000
χ564-44-44040-4-44-400000−4i4i0-440−4i4i−4i4i000000000000000000000000000000000000000
χ574-44-440-404-44-4000000004-4000000000000000000000004i−4i0000000000000000000
χ584-44-440-404-44-4000000004-400000000000000000000000−4i4i0000000000000000000
χ594-44-4-2040-42-22000004i−4i02-20−2i2i−2i2i000000000000000000000000i6−i66−600000000000
χ604-44-4-2040-42-22000004i−4i02-20−2i2i−2i2i000000000000000000000000−i6i6−6600000000000
χ614-44-4-2040-42-2200000−4i4i02-202i−2i2i−2i000000000000000000000000i6−i6−6600000000000
χ624-44-4-2040-42-2200000−4i4i02-202i−2i2i−2i000000000000000000000000−i6i66−600000000000
χ638-88-8-40-8084-4400000000-4400000000000000000000000000000000000000000000
χ648-8-8880000-8-88000000000000000000000000000000000000000000000000000000
χ658-8-88-4000044-40000000000026−26−2626000000000000000000000000000000000000000
χ668-8-88-4000044-400000000000−262626−26000000000000000000000000000000000000000

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