Finite Group Databasebeta

← Group #10780311

Character table — Group #10780311

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222224444444444444448888888888888812121212121216161616161616162424242424323248484848
order1222344446664888888121212122424242444812121212122424242424242444884488242424242488812124488
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
χ511111111111111111-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-11-11-111-1-1-1-111-1-111-11-1
χ611111111111111111-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-11-11-1-111-1-111-11-1-11-11
χ711111111111111111-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-11-111-1-111-1-11-11-11-11
χ811111111111111111-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-11-11-1-11111-1-111-11-11-1
χ91111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1
χ101111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-1-111
χ111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ121111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1
χ131111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-11111-1-11-1-11-1-11111-1-1-1-111-1-11
χ141111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-11111-1-1-111-111-1-111-1-1-11-1-111-1
χ151111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1111-11-111-1
χ161111111111111-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-11111-11-1-11
χ17222222-2-22222-2000000-222-200002-20-2-2-22200000022-2-20000000000-22000000000
χ18222222-2-22222-2000000-222-200002-20-2-2-222000000-2-22200000000002-2000000000
χ19222222-2-22222-2000000-222-20000-220-222-2-200000022-2-200000000002-2000000000
χ20222222-2-22222-2000000-222-20000-220-222-2-2000000-2-2220000000000-22000000000
χ2122222-222-2222-20000222-2-22222200-2-200000000-2-22-2-22-2-20000000000002000000
χ2222222-222-2222-20000222-2-22222200-2-200000000-2-2-222-222000000000000-2000000
χ2322222-222-2222-20000-2-22-2-22-2-2-2-2002-200000000222-2-2222000000000000-2000000
χ2422222-222-2222-20000-2-22-2-22-2-2-2-2002-20000000022-222-2-2-20000000000002000000
χ2522222-2-2-2-222222i2i−2i−2i00-2-2-2-20000000200002i2i−2i−2i002-22-20000000000002i−2i0000000
χ2622222-2-2-2-222222i2i−2i−2i00-2-2-2-20000000200002i2i−2i−2i00-22-22000000000000−2i2i0000000
χ2722222-2-2-2-22222−2i−2i2i2i00-2-2-2-2000000020000−2i−2i2i2i002-22-2000000000000−2i2i0000000
χ2822222-2-2-2-22222−2i−2i2i2i00-2-2-2-2000000020000−2i−2i2i2i00-22-220000000000002i−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
χ312222-12222-1-1-122222-2-2-1-1-1-11111-2-2-2-11111-1-1-1-1110000002-22-2-1-111000001-10000
χ322222-12222-1-1-122222-2-2-1-1-1-11111-2-2-2-11111-1-1-1-111000000-22-2211-1-100000-110000
χ332222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-2-22-111111111-1-100000022-2-2111100000-1-10000
χ342222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-2-22-111111111-1-1000000-2-222-1-1-1-100000110000
χ352222-12222-1-1-12-2-2-2-2-2-2-1-1-1-1111122-2-1-1-1-1-11111110000002-2-2211-1-1000001-10000
χ362222-12222-1-1-12-2-2-2-2-2-2-1-1-1-1111122-2-1-1-1-1-1111111000000-222-2-1-11100000-110000
χ374444-24-4-44-2-2-2-40000002-2-2200004-40222-2-20000000000000000000000000000000
χ384444-24-4-44-2-2-2-40000002-2-220000-4402-2-2220000000000000000000000000000000
χ394444-2-444-4-2-2-2-4000044-222-2-2-2-2-200-4200000000220000000000000000000000000
χ404444-2-444-4-2-2-2-40000-4-4-222-22222004200000000-2-20000000000000000000000000
χ414444-2-4-4-4-4-2-2-244i4i−4i−4i0022220000000-20000−2i−2i2i2i000000000000000000000000000
χ424444-2-4-4-4-4-2-2-24−4i−4i4i4i0022220000000-200002i2i−2i−2i000000000000000000000000000
χ4344-4-44400-4-4-44022−2222−220004-4000000000000022−2222−22000000000000000000000000000
χ4444-4-44400-4-4-440−2222−22220004-40000000000000−2222−2222000000000000000000000000000
χ4544-4-44-4004-4-440−2i22i22i2−2i2000-440000000000000−2i22i22i2−2i2000000000000000000000000000
χ4644-4-44-4004-4-4402i2−2i2−2i22i2000-4400000000000002i2−2i2−2i22i2000000000000000000000000000
χ4744-4-4-2400-422-2022−2222−22000-22066−6−6000023−2300−22−226−60000000000000000000000000
χ4844-4-4-2400-422-2022−2222−22000-220−6−6660000−232300−22−22−660000000000000000000000000
χ4944-4-4-2400-422-20−2222−2222000-22066−6−60000−2323002−22−26−60000000000000000000000000
χ5044-4-4-2400-422-20−2222−2222000-220−6−666000023−23002−22−2−660000000000000000000000000
χ5144-4-4-2-400422-20−2i22i22i2−2i20002-2066−6−6000000−2i32i3i2−i2−i2i2−660000000000000000000000000
χ5244-4-4-2-400422-20−2i22i22i2−2i20002-20−6−6660000002i3−2i3i2−i2−i2i26−60000000000000000000000000
χ5344-4-4-2-400422-202i2−2i2−2i22i20002-2066−6−60000002i3−2i3−i2i2i2−i2−660000000000000000000000000
χ5444-4-4-2-400422-202i2−2i2−2i22i20002-20−6−666000000−2i32i3−i2i2i2−i26−60000000000000000000000000
χ554-4-44404-40-44-4000004i−4i-40044i−4i4i−4i000000000000000000000000000000000000000
χ564-4-44404-40-44-400000−4i4i-4004−4i4i−4i4i000000000000000000000000000000000000000
χ574-4-4440-440-44-40000000400-400000000000000000000004i−4i0000000000000000000
χ584-4-4440-440-44-40000000400-40000000000000000000000−4i4i0000000000000000000
χ594-4-44-204-402-22000004i−4i200-2−2i2i−2i2i0000000000000000000000006−6i6−i600000000000
χ604-4-44-204-402-22000004i−4i200-2−2i2i−2i2i000000000000000000000000−66−i6i600000000000
χ614-4-44-204-402-2200000−4i4i200-22i−2i2i−2i0000000000000000000000006−6−i6i600000000000
χ624-4-44-204-402-2200000−4i4i200-22i−2i2i−2i000000000000000000000000−66i6−i600000000000
χ638-88-8800008-8-8000000000000000000000000000000000000000000000000000000
χ648-88-8-40000-444000000000002i6−2i6−2i62i6000000000000000000000000000000000000000
χ658-88-8-40000-44400000000000−2i62i62i6−2i6000000000000000000000000000000000000000
χ668-8-88-40-8804-440000000-40040000000000000000000000000000000000000000000

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