Finite Group Databasebeta

← Group #11885817

Character table — Group #11885817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order12223344666666223666881212121222444666612122424242424242424446688881212661212121244888822446612121212242424242226124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-111111-1-1-1-1111111-1-1-1-1-1-11-11-111-11-1-111-1-1-1-1-1-11-1
χ311111111111111111111111111-1-1111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-11-11-1-11-111-1-111-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-1111111-1-111-11-1-1-1-111-1111-1-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11-11111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111111-1-1111
χ911111111111111-1-111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-1-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111-1-1-1111-11
χ1111111111111111-1-11111111111-1-111-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-111-111-111
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11-1-111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-111-1-1-111-1-1-1-1-1-111111-1
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-111-1-1-1111-1-111-1-1-1-111
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-1111111-1-1111-1-1-111-1-1-1-1-11-11
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1111111111-1-1-1
χ17222222-2-222222200222200-2-2-2-2222200000-2-200000000-2-222000022000000220000000000-2-2000000-200000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-2000000002-2220000-2-2000000-2-200000000002-2000000200000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-200000000-22-2-2000022000000-2-20000000000-22000000200000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-20000000022-2-20000-2-200000022000000000022000000-200000
χ2122222-122-122-1-1222-1-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-102-1-1220000-1-12-1-1-10000002020-1-10-100-1-1000000-10
χ2222222-122-122-1-1222-1-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10-211-2-20000-1-12-1-1-1000000-20-201101001100000010
χ2322222-122-122-1-1222-1-1-1-1-2-22-1-122200-222-1-1-1-111-2-2111102-1-1-2-20000-1-1-211100000020-20-1-10-1001100000010
χ2422222-122-122-1-1222-1-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110-211220000-1-1-2111000000-2020110100-1-1000000-10
χ2522222-122-122-1-12-2-2-1-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-102-1-122000011-2111000000-20-20110-100-1-100000010
χ2622222-122-122-1-12-2-2-1-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-10-211-2-2000011-21110000002020-1-1010011000000-10
χ2722222-122-122-1-12-2-2-1-1-1-1-2-22-1-1222002-2-211-1-111-2-2111102-1-1-2-20000112-1-1-1000000-2020110-10011000000-10
χ2822222-122-122-1-12-2-2-1-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-211110-211220000112-1-1-100000020-20-1-10100-1-100000010
χ292222-12222-1-122-122-1-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-120000022-1-1-1-1-12-1-1000000020200-10-1-100-1-1000-100
χ302222-12222-1-122-122-1-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-1-200000-2-211-1-1-12-1-10000000-20-20010110011000100
χ312222-12222-1-122-122-1-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111200000-2-2-1-1-1-11-2110000000-20200-10-1-10011000100
χ322222-12222-1-122-122-1-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-2111111-2000002211-1-11-211000000020-200101100-1-1000-100
χ332222-12222-1-122-1-2-2-1-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-120000022-1-1111-2110000000-20-200-101100-1-1000100
χ342222-12222-1-122-1-2-2-1-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-1-200000-2-211111-21100000002020010-1-10011000-100
χ352222-12222-1-122-1-2-2-1-1-1-1-2-2-122-10022211-2-2-1-1-2-2111111200000-2-2-1-111-12-1-1000000020-200-10110011000-100
χ362222-12222-1-122-1-2-2-1-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-2111111-200000221111-12-1-10000000-2020010-1-100-1-1000100
χ3722-2-2220022-2-2-2-20022-2-2−i2i200002-22i−2i0000000−i2i2−i2i2−i2−i2i2i2002-2−i2i22−22i−2i0000002i−2i22−2−20000000000−i2i22−2000000
χ3822-2-2220022-2-2-2-20022-2-2−i2i200002-2−2i2i0000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2−22−2i2i000000−2i2i−2−2220000000000−i2i2−22000000
χ3922-2-2220022-2-2-2-20022-2-2−i2i20000-222i−2i0000000−i2i2−i2i2−i2−i2i2i200-22i2−i22−22i−2i000000−2i2i−2−2220000000000i2−i22−2000000
χ4022-2-2220022-2-2-2-20022-2-2−i2i20000-22−2i2i0000000−i2i2−i2i2−i2−i2i2i200-22i2−i2−22−2i2i0000002i−2i22−2−20000000000i2−i2−22000000
χ4122-2-2220022-2-2-2-20022-2-2i2−i200002-22i−2i0000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2−222i−2i0000002i−2i−2−2220000000000i2−i2−22000000
χ4222-2-2220022-2-2-2-20022-2-2i2−i200002-2−2i2i0000000i2−i2i2−i2i2i2−i2−i2002-2i2−i22−2−2i2i000000−2i2i22−2−20000000000i2−i22−2000000
χ4322-2-2220022-2-2-2-20022-2-2i2−i20000-222i−2i0000000i2−i2i2−i2i2i2−i2−i200-22−i2i2−222i−2i000000−2i2i22−2−20000000000−i2i2−22000000
χ4422-2-2220022-2-2-2-20022-2-2i2−i20000-22−2i2i0000000i2−i2i2−i2i2i2−i2−i200-22−i2i22−2−2i2i0000002i−2i−2−2220000000000−i2i22−2000000
χ452-2-2222-22-2-222-2-22-22-2-2200-22-22000002-22-2-220000000000000000002-20000002-22-20000000000000002-2000
χ462-2-2222-22-2-222-2-22-22-2-2200-22-22000002-22-2-220000000000000000002-2000000-22-22000000000000000-22000
χ472-2-2222-22-2-222-2-2-222-2-2200-22-2200000-22-22-22000000000000000000-220000002-22-2000000000000000-22000
χ482-2-2222-22-2-222-2-2-222-2-2200-22-2200000-22-22-22000000000000000000-22000000-22-220000000000000002-2000
χ4944444-2-4-4-244-2-2400-2-2-2-200-422-444000000022000000000-4-2-200000000000000000000000002000000000000
χ5044444-2-4-4-244-2-2400-2-2-2-200-422-4-4-40000000220000000004220000000000000000000000000-2000000000000
χ514444-24-4-44-2-244-200-2-2-2-2002-4-420044000002200000000-40000000-2-200000000000000000020000000000000
χ524444-24-4-44-2-244-200-2-2-2-2002-4-4200-4-40000022000000004000000022000000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000011-2-21100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000001122-1-100000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-20000-4222211-2-2-2-211110000000000-1-122-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-1-1-2-21100000000000000000000000000
χ5744-4-44-200-24-422-400-2-222−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i200-22−2i22i200000000000000000000000000i2−i200000000
χ5844-4-44-200-24-422-400-2-222−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i2002-22i2−2i200000000000000000000000000−i2i200000000
χ5944-4-44-200-24-422-400-2-2222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i200-222i2−2i200000000000000000000000000−i2i200000000
χ6044-4-44-200-24-422-400-2-2222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i2002-2−2i22i200000000000000000000000000i2−i200000000
χ6144-4-4-24004-22-4-4200-2-222−2i22i20000004i−4i0000000−2i22i2i2−i2i2i2−i2−i200000022−22−2i2i000000000000000000000000−22000000
χ6244-4-4-24004-22-4-4200-2-222−2i22i2000000−4i4i0000000−2i22i2i2−i2i2i2−i2−i2000000−22222i−2i0000000000000000000000002−2000000
χ6344-4-4-24004-22-4-4200-2-2222i2−2i20000004i−4i00000002i2−2i2−i2i2−i2−i2i2i2000000−2222−2i2i0000000000000000000000002−2000000
χ6444-4-4-24004-22-4-4200-2-2222i2−2i2000000−4i4i00000002i2−2i2−i2i2−i2−i2i2i200000022−222i−2i000000000000000000000000−22000000
χ654-44-44400-4-4-4-444004-44-4000000000000000000000000000000000000000000022−22−222200000000000000000000
χ664-44-44400-4-4-4-444004-44-40000000000000000000000000000000000000000000−222222−2200000000000000000000
χ674-4-44444-4-4-444-4-4004-4-44004-44-40000000004-400000000000000000000000000000000000000000000000000
χ684-4-444-24-42-44-22-400-222-20042-2-4000000000-220000000000000000000000000000000000−2i32i300000000000000
χ694-4-444-24-42-44-22-400-222-20042-2-4000000000-2200000000000000000000000000000000002i3−2i300000000000000
χ704-4-444-2-442-44-22-44-4-222-200-4-224000004-4-222-2000000000000000000-22000000000000000000000000000000
χ714-4-444-2-442-44-22-4-44-222-200-4-22400000-442-22-20000000000000000002-2000000000000000000000000000000
χ724-4-44-244-4-42-24-4200-222-200-2-442000000000-220000000000000000000000000000000000000023−230000000000
χ734-4-44-244-4-42-24-4200-222-200-2-442000000000-2200000000000000000000000000000000000000−23230000000000
χ744-4-44-24-44-42-24-424-4-222-20024-4-200000-224-42-2000000000000000000-22000000000000000000000000000000
χ754-4-44-24-44-42-24-42-44-222-20024-4-2000002-2-442-20000000000000000002-2000000000000000000000000000000
χ764-4-44-2-2-4422-2-2224-41-1-11002-22-200000-22-22-1100003-33-300000000001-1003-300000000000000000000000000
χ774-4-44-2-2-4422-2-2224-41-1-11002-22-200000-22-22-110000-33-3300000000001-100-3300000000000000000000000000
χ784-4-44-2-2-4422-2-222-441-1-11002-22-2000002-22-2-1100003-33-30000000000-1100-3300000000000000000000000000
χ794-4-44-2-2-4422-2-222-441-1-11002-22-2000002-22-2-110000-33-330000000000-11003-300000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444440022-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440022-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ838-88-88-4004-8-84-4800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-844-88-400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-4002-22-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-4002-22-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ878-8-88-4-48-844-4-444002-2-2200-44-440000000002-200000000000000000000000000000000000000000000000000

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