Finite Group Databasebeta

← Group #10848583

Character table — Group #10848583

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888812121212161616161616161616162424242424242424242424242424
order1222222222344666444666666121212124444444412121212121212121212444444121212121212121222222444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1111-1-111-1-1-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-11111
χ911111111111-1-1111-1-1-1111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-111111-11-11-111-1-1-11-111-11-1-1-111-1-1
χ1011111111111-1-1111-1-1-1111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-111-1-11-11-1-11-1111-1-111
χ1111111111111-1-1111-1-1-1111111-1-1-1-11-11-1-1-111-1-1-1-1-1-111111111-111-11-1-1-111-11-1-1-1-11-111-1-111
χ1211111111111-1-1111-1-1-1111111-1-1-1-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-11-1-1-1111-11111-11-1-111-1-1
χ1311111111111-1-1111-1-1-1111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-11111-11-11-11-1-111-1-11-1-1-1-111111-1-1
χ1411111111111-1-1111-1-1-1111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-11111-11111-1-1-1-1-111
χ1511111111111-1-1111-1-1-1111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1111-1-11-1-1-1-111
χ1611111111111-1-1111-1-1-1111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-11-1-11-1111-1-111-1-1-111-11111-1-1
χ172222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-100000000000000
χ182222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-2-2-1-1-1-1111100000000000000
χ192222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-21111111100000000000000
χ202222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000221111-1-1-1-100000000000000
χ212222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-111112-22-222-2-211-1-1-1-1111100002-2-11-11-1-11100000000000000
χ222222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-111112-22-2-2-222111111-1-1-1-10000-22-11-1111-1-100000000000000
χ232222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-22-2222-2-211-1-1-1-111110000-221-11-111-1-100000000000000
χ242222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-22-22-2-222111111-1-1-1-100002-21-11-1-1-11100000000000000
χ2522222-2-22-2-22222222-2-22-2-2-2-2222-2-2000000002-20000000022-2-20000000000-20000200000000
χ2622222-2-22-2-22222222-2-22-2-2-2-2222-2-2000000002-200000000-2-222000000000020000-200000000
χ2722222-2-22-2-22-2-2222-2222-2-2-2-22-2-22200000000-220000000022-2-2000000000020000-200000000
χ2822222-2-22-2-22-2-2222-2222-2-2-2-22-2-22200000000-2200000000-2-2220000000000-20000200000000
χ292222-222-2-2-2222222-22-2-2-2-222-2222200000000-2-2000000000000000000000002-2000-22000000
χ302222-222-2-2-2222222-22-2-2-2-222-2222200000000-2-200000000000000000000000-220002-2000000
χ312222-222-2-2-22-2-22222-22-2-2-222-2-2-2-2-200000000220000000000000000000000022000-2-2000000
χ322222-222-2-2-22-2-22222-22-2-2-222-2-2-2-2-2000000002200000000000000000000000-2-200022000000
χ332222-2-2-2-222222222-2-22-222-2-2-222-2-22-2-220000-22000000000000002-2-22000000000000000000
χ342222-2-2-2-222222222-2-22-222-2-2-222-2-2-222-20000-2200000000000000-222-2000000000000000000
χ352222-2-2-2-2222-2-222222-2-222-2-2-2-2-22222-2-200002-20000000000000022-2-2000000000000000000
χ362222-2-2-2-2222-2-222222-2-222-2-2-2-2-222-2-22200002-200000000000000-2-222000000000000000000
χ372222-2-2-2-222-122-1-1-1-2-221-1-1111-1-1112-2-2200001-133−3−333−3−3000000-111-13−33−300000000000000
χ382222-2-2-2-222-122-1-1-1-2-221-1-1111-1-1112-2-2200001-1−3−333−3−333000000-111-1−33−3300000000000000
χ392222-2-2-2-222-122-1-1-1-2-221-1-1111-1-111-222-200001-133−3−333−3−30000001-1-11−33−3300000000000000
χ402222-2-2-2-222-122-1-1-1-2-221-1-1111-1-111-222-200001-1−3−333−3−3330000001-1-113−33−300000000000000
χ412222-2-2-2-222-1-2-2-1-1-122-21-1-111111-1-122-2-20000-1133−3−3−3−333000000-1-1113−3−3300000000000000
χ422222-2-2-2-222-1-2-2-1-1-122-21-1-111111-1-122-2-20000-11−3−33333−3−3000000-1-111−333−300000000000000
χ432222-2-2-2-222-1-2-2-1-1-122-21-1-111111-1-1-2-2220000-1133−3−3−3−33300000011-1-1−333−300000000000000
χ442222-2-2-2-222-1-2-2-1-1-122-21-1-111111-1-1-2-2220000-11−3−33333−3−300000011-1-13−3−3300000000000000
χ452-2-2222-2-22-22002-2-200022-22-2-200000000002-20000002-22-22i−2i2i−2i00000000000000000000002i−2i
χ462-2-2222-2-22-22002-2-200022-22-2-200000000002-20000002-22-2−2i2i−2i2i0000000000000000000000−2i2i
χ472-2-2222-2-22-22002-2-200022-22-2-20000000000-22000000-22-222i−2i2i−2i0000000000000000000000−2i2i
χ482-2-2222-2-22-22002-2-200022-22-2-20000000000-22000000-22-22−2i2i−2i2i00000000000000000000002i−2i
χ492-2-222-22-2-222002-2-20002-22-22-2000000002-200002-22-200002i−2i−2i2i000000000000000000002i−2i00
χ502-2-222-22-2-222002-2-20002-22-22-2000000002-200002-22-20000−2i2i2i−2i00000000000000000000−2i2i00
χ512-2-222-22-2-222002-2-20002-22-22-200000000-220000-22-2200002i−2i−2i2i00000000000000000000−2i2i00
χ522-2-222-22-2-222002-2-20002-22-22-200000000-220000-22-220000−2i2i2i−2i000000000000000000002i−2i00
χ5344444-4-44-4-4-244-2-2-24-4-4-22222-2-2-22200000000-22000000000000000000000000000000000000
χ5444444-4-44-4-4-2-4-4-2-2-2-444-22222-222-2-2000000002-2000000000000000000000000000000000000
χ554444-444-4-4-4-244-2-2-2-44-4222-2-22-2-2-2-20000000022000000000000000000000000000000000000
χ564444-444-4-4-4-2-4-4-2-2-24-44222-2-22222200000000-2-2000000000000000000000000000000000000
χ5744-4-400000044i−4i-44-40000000004i−4i00000000000000000000000000000000000002-20002i−2i0000
χ5844-4-400000044i−4i-44-40000000004i−4i0000000000000000000000000000000000000-22000−2i2i0000
χ5944-4-40000004−4i4i-44-4000000000−4i4i00000000000000000000000000000000000002-2000−2i2i0000
χ6044-4-40000004−4i4i-44-4000000000−4i4i0000000000000000000000000000000000000-220002i−2i0000
χ614-4-4444-4-44-4-200-222000-2-22-22200000000004-4000000-22-220000000000000000000000000000
χ624-4-4444-4-44-4-200-222000-2-22-2220000000000-440000002-22-20000000000000000000000000000
χ634-4-444-44-4-44-200-222000-22-22-22000000004-40000-22-2200000000000000000000000000000000
χ644-4-444-44-4-44-200-222000-22-22-2200000000-4400002-22-200000000000000000000000000000000
χ654-4-44-44-44-444004-4-4000-4-444-4400000000000000000000000000000000000000000000000000
χ664-4-44-44-44-44-200-22200022-2-22-20000000000000023−23−232300000000000000000000000000000000
χ674-4-44-44-44-44-200-22200022-2-22-200000000000000−232323−2300000000000000000000000000000000
χ684-4-44-4-4444-44004-4-4000-44-4-44400000000000000000000000000000000000000000000000000
χ694-4-44-4-4444-4-200-2220002-222-2-200000000000000000023−23−23230000000000000000000000000000
χ704-4-44-4-4444-4-200-2220002-222-2-2000000000000000000−232323−230000000000000000000000000000
χ7188-8-8000000-48i−8i4-44000000000−4i4i000000000000000000000000000000000000000000000000
χ7288-8-8000000-4−8i8i4-440000000004i−4i000000000000000000000000000000000000000000000000
χ738-88-8000000800-8-8800000000000000000000000000000000000000000000000000000000000
χ748-88-8000000-40044-400000000000−4i34i30000000000000000000000000000000000000000000000
χ758-88-8000000-40044-4000000000004i3−4i30000000000000000000000000000000000000000000000

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