Finite Group Databasebeta

← Group #10863709

Character table — Group #10863709

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121216161616161624242424242424242424
order122222223444444446666666444444121212121212121244444412121212121212121212121212121212121244448888888844121212122222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-111-1-111111111-111-111-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-111111111-111-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ8111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1
χ91111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-11-1-111-1-1-1-11111-1-1
χ101111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-111
χ111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-111-1-1
χ131111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111111-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1
χ151111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1-111-1-111-1-111-1-1
χ161111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-111
χ17222222222-22222-2-2-2222222222-2-222-2-2-2-22222-200-20022000022-2-20000-2-2-2-20000000000000000000000000000
χ18222222222-22222-2-2-22222222-2-2-2-2-2-2-2-2-2-22222200200-2-20000-2-2220000-2-2220000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-200200-2-2000022-2-2000022220000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-2-2-2-2-2200-200220000-2-222000022-2-20000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-2-22-2-2-1-11111-1-1-1-11111-1-1-1-1000000000000-2-211110000000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-222-22211-1-1-1-11111-1-1-1-1-1-111000000000000-2-211110000000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111-1-11100000000000022-1-1-1-10000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111222-2-2-2111111-1-1-1-1-1-1-1-11111000000000000-2211-1-10000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111112-2-2-22211-1-1-1-1-1-1-1-1111111110000000000002-2-1-1110000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111-2222-2-2-1-111111111-1-1-1-111-1-10000000000002-2-1-1110000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111-2-2-2222-1-1-1-1-1-11111111111-1-1000000000000-2211-1-10000000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-122-2-2221111-1-1-1-1-200-200-1-1−i3−i3i3i3-1-111−i3−i3i3i3111100000000000000−i3i3−i3i30000000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-122-2-2221111-1-1-1-1-200-200-1-1i3i3−i3−i3-1-111i3i3−i3−i3111100000000000000i3−i3i3−i30000000000
χ3122222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-120020011−i3−i3i3i311-1-1−i3−i3i3i311-1-100000000000000i3−i3i3−i30000000000
χ3222222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-120020011i3i3−i3−i311-1-1i3i3−i3−i311-1-100000000000000−i3i3−i3i30000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-211111111-20020011−i3−i3i3i3-1-111i3i3−i3−i3-1-1-1-100000000000000−i3i3i3−i30000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-211111111-20020011i3i3−i3−i3-1-111−i3−i3i3i3-1-1-1-100000000000000i3−i3−i3i30000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222211111111200-200-1-1−i3−i3i3i311-1-1i3i3−i3−i3-1-11100000000000000i3−i3−i3i30000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222211111111200-200-1-1i3i3−i3−i311-1-1−i3−i3i3i3-1-11100000000000000−i3i3i3−i30000000000
χ37222-2-2-22-22-200002-22222-2-2-2-200000022-2-2000000002-2002-22-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ38222-2-2-22-22-200002-22222-2-2-2-200000022-2-2000000002-2002-22-2000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ39222-2-2-22-22-200002-22222-2-2-2-200000022-2-200000000-2200-22-220000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ40222-2-2-22-22-200002-22222-2-2-2-200000022-2-200000000-2200-22-22000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4122-22-22-2-2202i2i−2i−2i0002-2-2-22-222-2002i−2i00002i2i−2i−2i0000002i−2i00002-2000000000000002−22−2−i2−i2i2i2000000000000−i2i22−2
χ4222-22-22-2-2202i2i−2i−2i0002-2-2-22-222-2002i−2i00002i2i−2i−2i0000002i−2i00002-200000000000000−22−22i2i2−i2−i2000000000000i2−i2−22
χ4322-22-22-2-2202i2i−2i−2i0002-2-2-22-22-2200−2i2i00002i2i−2i−2i000000−2i2i0000-22000000000000002−22−2−i2−i2i2i2000000000000i2−i2−22
χ4422-22-22-2-2202i2i−2i−2i0002-2-2-22-22-2200−2i2i00002i2i−2i−2i000000−2i2i0000-2200000000000000−22−22i2i2−i2−i2000000000000−i2i22−2
χ4522-22-22-2-220−2i−2i2i2i0002-2-2-22-222-200−2i2i0000−2i−2i2i2i000000−2i2i00002-2000000000000002−22−2i2i2−i2−i2000000000000i2−i22−2
χ4622-22-22-2-220−2i−2i2i2i0002-2-2-22-222-200−2i2i0000−2i−2i2i2i000000−2i2i00002-200000000000000−22−22−i2−i2i2i2000000000000−i2i2−22
χ4722-22-22-2-220−2i−2i2i2i0002-2-2-22-22-22002i−2i0000−2i−2i2i2i0000002i−2i0000-22000000000000002−22−2i2i2−i2−i2000000000000−i2i2−22
χ4822-22-22-2-220−2i−2i2i2i0002-2-2-22-22-22002i−2i0000−2i−2i2i2i0000002i−2i0000-2200000000000000−22−22−i2−i2i2i2000000000000i2−i22−2
χ492-2222-2-2-2222i−2i2i−2i-2-22-22-2-222-2002i−2i002-22-22i−2i2i−2i000000000000000000002i−2i00000000000000000000002-22i−2i0000
χ502-2222-2-2-2222i−2i2i−2i-2-22-22-2-222-2002i−2i002-22-22i−2i2i−2i000000000000000000002i−2i0000000000000000000000-22−2i2i0000
χ512-2222-2-2-222−2i2i−2i2i-2-22-22-2-222-200−2i2i002-22-2−2i2i−2i2i00000000000000000000−2i2i00000000000000000000002-2−2i2i0000
χ522-2222-2-2-222−2i2i−2i2i-2-22-22-2-222-200−2i2i002-22-2−2i2i−2i2i00000000000000000000−2i2i0000000000000000000000-222i−2i0000
χ532-2222-2-2-22-22i−2i2i−2i22-2-22-2-222-200−2i2i00-22-222i−2i2i−2i00000000000000000000−2i2i002i−2i2i−2i000000000000002-200000000
χ542-2222-2-2-22-22i−2i2i−2i22-2-22-2-222-200−2i2i00-22-222i−2i2i−2i00000000000000000000−2i2i00−2i2i−2i2i00000000000000-2200000000
χ552-2222-2-2-22-2−2i2i−2i2i22-2-22-2-222-2002i−2i00-22-22−2i2i−2i2i000000000000000000002i−2i002i−2i2i−2i00000000000000-2200000000
χ562-2222-2-2-22-2−2i2i−2i2i22-2-22-2-222-2002i−2i00-22-22−2i2i−2i2i000000000000000000002i−2i00−2i2i−2i2i000000000000002-200000000
χ572-22-2-22-222200002-2-2-22-22-2-22000000-222-2000002i−2i00000000000002i−2i2i−2i00002-2-2200002i−2i2i−2i0000000000000000
χ582-22-2-22-222200002-2-2-22-22-2-22000000-222-2000002i−2i00000000000002i−2i2i−2i0000-222-20000−2i2i−2i2i0000000000000000
χ592-22-2-22-222200002-2-2-22-22-2-22000000-222-200000−2i2i0000000000000−2i2i−2i2i00002-2-220000−2i2i−2i2i0000000000000000
χ602-22-2-22-222200002-2-2-22-22-2-22000000-222-200000−2i2i0000000000000−2i2i−2i2i0000-222-200002i−2i2i−2i0000000000000000
χ61444-4-4-44-4440000-44-4444-4-4-4-4000000-4-44400000000000000000000000000000000000000000000000000000000
χ62444-4-4-44-4-240000-44-4-2-2-2222200000022-2-2000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ63444-4-4-44-4-240000-44-4-2-2-2222200000022-2-20000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ64444-4-4-44-4-2-400004-44-2-2-22222000000-2-222000000004-400-22-220000000000000000000000000000000000000000
χ65444-4-4-44-4-2-400004-44-2-2-22222000000-2-22200000000-44002-22-20000000000000000000000000000000000000000
χ6644-44-44-4-4-204i4i−4i−4i000-2222-22-24-4004i−4i0000−2i−2i2i2i000000−2i2i0000-2200000000000000000000000000000000000000
χ6744-44-44-4-4-204i4i−4i−4i000-2222-22-2-4400−4i4i0000−2i−2i2i2i0000002i−2i00002-200000000000000000000000000000000000000
χ6844-44-44-4-4-20−4i−4i4i4i000-2222-22-24-400−4i4i00002i2i−2i−2i0000002i−2i0000-2200000000000000000000000000000000000000
χ6944-44-44-4-4-20−4i−4i4i4i000-2222-22-2-44004i−4i00002i2i−2i−2i000000−2i2i00002-200000000000000000000000000000000000000
χ7044-4-44-4-444000000004-4-44-44-4000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ7144-4-44-4-444000000004-4-44-44-40000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ724-4444-4-4-4-244i−4i4i−4i-4-442-222-2-22004i−4i00-22-22−2i2i−2i2i00000000000000000000−2i2i000000000000000000000000000000
χ734-4444-4-4-4-24−4i4i−4i4i-4-442-222-2-2200−4i4i00-22-222i−2i2i−2i000000000000000000002i−2i000000000000000000000000000000
χ744-4444-4-4-4-2-44i−4i4i−4i44-42-222-2-2200−4i4i002-22-2−2i2i−2i2i000000000000000000002i−2i000000000000000000000000000000
χ754-4444-4-4-4-2-4−4i4i−4i4i44-42-222-2-22004i−4i002-22-22i−2i2i−2i00000000000000000000−2i2i000000000000000000000000000000
χ764-44-4-44-444-40000-444-44-44-4-440000004-4-4400000000000000000000000000000000000000000000000000000000
χ774-44-4-44-44-2400004-4-42-22-222-20000002-2-22000004i−4i0000000000000−2i2i−2i2i00000000000000000000000000000000
χ784-44-4-44-44-2400004-4-42-22-222-20000002-2-2200000−4i4i00000000000002i−2i2i−2i00000000000000000000000000000000
χ794-44-4-44-44-2-40000-4442-22-222-2000000-222-20000000000000000000023−23−232300000000000000000000000000000000
χ804-44-4-44-44-2-40000-4442-22-222-2000000-222-200000000000000000000−232323−2300000000000000000000000000000000
χ814-4-44-4-444404-4-44000-4-4444-4-400000000004-4-440000000000000000000000000000000000000000000000000000
χ824-4-44-4-44440-444-4000-4-4444-4-40000000000-444-40000000000000000000000000000000000000000000000000000
χ834-4-44-4-444-204-4-4400022-2-2-2220000000000-222-20000000000000023−2300000023−230000000000000000000000000000
χ844-4-44-4-444-204-4-4400022-2-2-2220000000000-222-200000000000000−2323000000−23230000000000000000000000000000
χ854-4-44-4-444-20-444-400022-2-2-22200000000002-2-220000000000000023−23000000−23230000000000000000000000000000
χ864-4-44-4-444-20-444-400022-2-2-22200000000002-2-2200000000000000−232300000023−230000000000000000000000000000
χ874-4-4-4444-4400000000-4-44-4-444000000000000000000000000000000000000000000000022−22−22220000000000000000
χ884-4-4-4444-4400000000-4-44-4-4440000000000000000000000000000000000000000000000−222222−220000000000000000
χ8988-8-88-8-88-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000
χ908-8-8-8888-8-40000000044-444-4-4000000000000000000000000000000000000000000000000000000000000000000

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