Finite Group Databasebeta

← Group #10948979

Character table — Group #10948979

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444466668888888888888888881212121212121616161616161616161624242424242424244848
order12222234444666888866881212121224242424222244441616161624244848484848484848448888246612121212121244441616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ91111-1-111-1-111111111-1-1-1-11-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111-1-1-1-111-1-111-1-11-1
χ101111-1-111-1-111111111-1-1-1-11-1-11111111-1-111-1-1-1-111-1-1-1-1-1-111111-111-1-1-11-1-111-1-11111-1-1-1-111-11
χ111111-1-111-1-111111111-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-11-1-1-1-11111-1-11111-1-1-11
χ121111-1-111-1-111111111-1-1-1-11-1-11111111-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-11-111-1-111-1-1-1-111-1-1111-1
χ131111-1-111-1-111111111-1-1-1-11-1-111111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1111-11111-1-1-1-1-1-111-1-111-11
χ141111-1-111-1-111111111-1-1-1-11-1-111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1-111-11-1-111-1-111-1-11111-1-11-1
χ151111-1-111-1-111111111-1-1-1-11-1-111111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1111111-1-1-1-1111-1
χ161111-1-111-1-111111111-1-1-1-11-1-111111-1-111-1-111-1-111-1-1-1-1-1-11111-11-1-1111-111-1-111-1-111-1-111-1-1-11
χ1722222222222222-2-2-2-222-2-22222-2-2-2-2222200000000-2-20000000022-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-200000000-2-200000000-2-2222200000000000000000000
χ192222222-2-2-2-222200002200-2-2-2-20000222200002−22−20022−2−222−2−2-2-20000000000000000002−22−200
χ202222222-2-2-2-222200002200-2-2-2-2000022220000−22−2200−2−222−2−222-2-2000000000000000000−22−2200
χ212222222-2-2-2-222200002200-2-2-2-20000-2-2-2-200002−22−20022−2−222−2−222000000000000000000−22−2200
χ222222222-2-2-2-222200002200-2-2-2-20000-2-2-2-20000−22−2200−2−222−2−222220000000000000000002−22−200
χ23222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1-1-10000000000
χ24222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-100002222-2-2-2-2-1-111111111000000-2-211-1-1-1-1110000000000
χ25222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000-2-2-2-22222-1-1-1-1-1-1-1-1-1-1000000-2-2111111110000000000
χ26222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-11111111100000022-1-11111-1-10000000000
χ272222-2-222-2-22222-2-2-2-2-2-2222-2-22-2-2-2-222-2-20000000022000000002-2-2-22200000000000000000000
χ282222-2-222-2-22222-2-2-2-2-2-2222-2-22-2-2-2-2-2-222000000002200000000-2222-2-200000000000000000000
χ292222-2-22-222-22220000-2-200-222-2000022-2-200002−2−220022−2−2−2−222-220000000000000000002−2−2200
χ302222-2-22-222-22220000-2-200-222-2000022-2-20000−222−200−2−22222−2−2-22000000000000000000−222−200
χ312222-2-22-222-22220000-2-200-222-20000-2-22200002−2−220022−2−2−2−2222-2000000000000000000−222−200
χ322222-2-22-222-22220000-2-200-222-20000-2-2220000−222−200−2−22222−2−22-20000000000000000002−2−2200
χ332222-2-2-12-2-22-1-1-1222211-2-2-111-1-1-1-1-1000022-2-222-2-211-1-1-1-111110000002-2-1-1-1-111110000000000
χ342222-2-2-12-2-22-1-1-1222211-2-2-111-1-1-1-1-1000022-2-2-2-222111111-1-1-1-1000000-2211-1-111-1-10000000000
χ352222-2-2-12-2-22-1-1-1222211-2-2-111-1-1-1-1-10000-2-22222-2-211-1-1-1-11111000000-221111-1-1-1-10000000000
χ362222-2-2-12-2-22-1-1-1222211-2-2-111-1-1-1-1-10000-2-222-2-222111111-1-1-1-10000002-2-1-111-1-1110000000000
χ372-2-222-22-22-22-2-2222-2-22-22-2-22-22-2-22200002-22-200002-20000000000000000002-22-2000000000000
χ382-2-222-22-22-22-2-2222-2-22-22-2-22-22-2-2220000-22-2200002-2000000000000000000-22-22000000000000
χ392-2-222-22-22-22-2-22-2-2222-2-22-22-2222-2-2000000000000-220000000000000000000000002-22-2000000
χ402-2-222-22-22-22-2-22-2-2222-2-22-22-2222-2-2000000000000-22000000000000000000000000-22-22000000
χ412-2-222-2-1-22-2211-122-2-2-112-21-11-111-1-100002-22-20000-11−i3i3−i3i3−i3i3−i3i300000000−i3i3-11-11−i3i30000000000
χ422-2-222-2-1-22-2211-122-2-2-112-21-11-111-1-100002-22-20000-11i3−i3i3−i3i3−i3i3−i300000000i3−i3-11-11i3−i30000000000
χ432-2-222-2-1-22-2211-122-2-2-112-21-11-111-1-10000-22-220000-11−i3i3−i3i3−i3i3−i3i300000000i3−i31-11-1i3−i30000000000
χ442-2-222-2-1-22-2211-122-2-2-112-21-11-111-1-10000-22-220000-11i3−i3i3−i3i3−i3i3−i300000000−i3i31-11-1−i3i30000000000
χ452-2-22-222-2-222-2-2222-2-2-22-22-2-222-2-22200002-2-220000-220000000000000000002-2-22000000000000
χ462-2-22-222-2-222-2-2222-2-2-22-22-2-222-2-2220000-222-20000-22000000000000000000-222-2000000000000
χ472-2-22-222-2-222-2-22-2-222-222-2-2-22222-2-20000000000002-20000000000000000000000002-2-22000000
χ482-2-22-222-2-222-2-22-2-222-222-2-2-22222-2-20000000000002-2000000000000000000000000-222-2000000
χ492-2-22-22-1-2-22211-122-2-21-1-2211-1-111-1-100002-2-2200001-1−i3i3−i3i3i3−i3i3−i300000000−i3i3-111-1i3−i30000000000
χ502-2-22-22-1-2-22211-122-2-21-1-2211-1-111-1-100002-2-2200001-1i3−i3i3−i3−i3i3−i3i300000000i3−i3-111-1−i3i30000000000
χ512-2-22-22-1-2-22211-122-2-21-1-2211-1-111-1-10000-222-200001-1−i3i3−i3i3i3−i3i3−i300000000i3−i31-1-11−i3i30000000000
χ522-2-22-22-1-2-22211-122-2-21-1-2211-1-111-1-10000-222-200001-1i3−i3i3−i3−i3i3−i3i300000000−i3i31-1-11i3−i30000000000
χ53444444-24444-2-2-2-4-4-4-4-2-2-4-4-2-2-2-22222000000000000220000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-200222200000000000022−2222−2200−2−222−2−22200000000000000000000000000
χ55444444-2-4-4-4-4-2-2-20000-2-2002222000000000000−2222−22220022−2−222−2−200000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4-4-4-42244-222-22222000000000000-2-20000000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-2000022002-2-2200000000000022−22−222200−2−22222−2−200000000000000000000000000
χ584444-4-4-2-444-4-2-2-2000022002-2-22000000000000−222222−220022−2−2−2−22200000000000000000000000000
χ5944-4-400400004-4-422−2222−220000000022−2222−22004-4000000000000000000000022−2200000000000000000000
χ6044-4-400400004-4-422−2222−220000000022−2222−2200-440000000000000000000000−222200000000000000000000
χ6144-4-400400004-4-4−2222−222200000000−2222−2222004-40000000000000000000000−222200000000000000000000
χ6244-4-400400004-4-4−2222−222200000000−2222−222200-44000000000000000000000022−2200000000000000000000
χ634-44-40040000-44-422−22−222200000000−222222−224-4000000000000000000000022−220000000000000000000000
χ644-44-40040000-44-422−22−222200000000−222222−22-440000000000000000000000−22220000000000000000000000
χ654-44-40040000-44-4−222222−220000000022−22−22224-40000000000000000000000−22220000000000000000000000
χ664-44-40040000-44-4−222222−220000000022−22−2222-44000000000000000000000022−220000000000000000000000
χ674-4-444-444-44-4-4-4400004-4004-44-40000000000000000000000000000000000000000000000000000
χ684-4-444-4-24-44-422-20000-2200-22-22000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ694-4-444-4-24-44-422-20000-2200-22-22000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ704-4-444-4-2-44-4422-2-4-444-22-442-22-2-2-2220000000000002-20000000000000000000000000000000000
χ714-4-44-44444-4-4-4-440000-440044-4-40000000000000000000000000000000000000000000000000000
χ724-4-44-44-244-4-422-200002-200-2-222000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ734-4-44-44-244-4-422-200002-200-2-222000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ744-4-44-44-2-4-44422-2-4-4442-24-422-2-2-2-222000000000000-220000000000000000000000000000000000
χ7588-8-800-40000-44442−4242−4200000000−2222−2222000000000000000000000000000000000000000000000000
χ7688-8-800-40000-444−4242−42420000000022−2222−22000000000000000000000000000000000000000000000000
χ778-88-800-400004-4442−42−42420000000022−22−2222000000000000000000000000000000000000000000000000
χ788-88-800-400004-44−424242−4200000000−222222−22000000000000000000000000000000000000000000000000

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