Finite Group Databasebeta

← Group #11895172

Character table — Group #11895172

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order1222334466666622366688121212124444466661212242424242424242444888812121212661212121244888844441212121212122424242444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111111111-111-1-111-1-1111111-1-1-1-1-1-11-11-11-111-1-111-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-11-1-111-1-111111111-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-111-11-111-1-1-1-111-111-11-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111111-1-11-11-1-11111-1-1-1111-1-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111
χ911111111111111-1-111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-111-111
χ1111111111111111-1-11111111111-1-111-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-1-1-1-111-1111-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-111111-1-111-1-1-111-1-111-1-1-11-11
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-11111-111-1-1111-1-111-1-1-1-1-1-111
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111111-1-1-1
χ17222222-2-222222200222200-2-2-2-2222200000-2-200000000-2-2000022220000002200000000-2-200000000-200000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-200000000-22000022-2-2000000-2-200000000-2200000000200000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-2000000002-20000-2-222000000-2-2000000002-200000000200000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-200000000220000-2-2-2-200000022000000002200000000-200000
χ2122222-1222-122-1-122-1-1-1-1222-12-10022222-1-1-1-122-1-1-1-1-1-102002200-1-1-1-12-1-1-100000002020-100-1-100-1-10000-10
χ2222222-1222-122-1-122-1-1-1-1222-12-100-2-2222-1-1-1-122-1-1-1-1-1-10-200-2-20011-1-12-1-1-10000000-20-20100110011000010
χ2322222-1222-122-1-122-1-1-1-1-2-22-12-10022-222-1-1-1-1-2-21111110200-2-200-1-1-1-1-21110000000-2020-100-1-10011000010
χ2422222-1222-122-1-122-1-1-1-1-2-22-12-100-2-2-222-1-1-1-1-2-21111110-200220011-1-1-2111000000020-201001100-1-10000-10
χ2522222-1222-122-1-1-2-2-1-1-1-1222-12-10022-2-2-211-1-122-1-1-1-1-1-102002200-1-111-21110000000-20-20-1001100-1-1000010
χ2622222-1222-122-1-1-2-2-1-1-1-1222-12-100-2-2-2-2-211-1-122-1-1-1-1-1-10-200-2-2001111-211100000002020100-1-100110000-10
χ2722222-1222-122-1-1-2-2-1-1-1-1-2-22-12-100222-2-211-1-1-2-21111110200-2-200-1-1112-1-1-1000000020-20-1001100110000-10
χ2822222-1222-122-1-1-2-2-1-1-1-1-2-22-12-100-2-22-2-211-1-1-2-21111110-200220011112-1-1-10000000-2020100-1-100-1-1000010
χ292222-1222-12-1-12222-1-1-1-122-12-1222002-1-122-1-1-1-122-1-1-1-1202200-1-100-1-1-12-1-10000002020-10-1-100-1-100000-100
χ302222-1222-12-1-12222-1-1-1-122-12-12-2-2002-1-122-1-1-1-122-1-1-1-1-20-2-2001100-1-1-12-1-1000000-20-201011001100000100
χ312222-1222-12-1-12222-1-1-1-1-2-2-12-122200-2-1-122-1-111-2-2111120-2-200-1-100-1-11-211000000-2020-10-1-1001100000100
χ322222-1222-12-1-12222-1-1-1-1-2-2-12-12-2-200-2-1-122-1-111-2-21111-2022001100-1-11-21100000020-20101100-1-100000-100
χ332222-1222-12-1-122-2-2-1-1-1-122-12-122200-211-2-2-1-1-1-122-1-1-1-1202200-1-100111-211000000-20-20-101100-1-100000100
χ342222-1222-12-1-122-2-2-1-1-1-122-12-12-2-200-211-2-2-1-1-1-122-1-1-1-1-20-2-2001100111-211000000202010-1-1001100000-100
χ352222-1222-12-1-122-2-2-1-1-1-1-2-2-12-122200211-2-2-1-111-2-2111120-2-200-1-10011-12-1-100000020-20-1011001100000-100
χ362222-1222-12-1-122-2-2-1-1-1-1-2-2-12-12-2-200211-2-2-1-111-2-21111-202200110011-12-1-1000000-202010-1-100-1-100000100
χ3722-2-2222-2-2-22-22-22-22-2-2200-2-222000002-22-2-220000000000000000002-20000002i2i−2i−2i0000000000000002i−2i000
χ3822-2-2222-2-2-22-22-22-22-2-2200-2-222000002-22-2-220000000000000000002-2000000−2i−2i2i2i000000000000000−2i2i000
χ3922-2-2222-2-2-22-22-2-222-2-2200-2-22200000-22-22-22000000000000000000-220000002i2i−2i−2i000000000000000−2i2i000
χ4022-2-2222-2-2-22-22-2-222-2-2200-2-22200000-22-22-22000000000000000000-22000000−2i−2i2i2i0000000000000002i−2i000
χ412-2-222200-2-2-22-220022-2-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i200−i2i2−i2i22-22-20000002-2−i2i2−i2i20000000000−i2i2−i2i2000000
χ422-2-222200-2-2-22-220022-2-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i200−i2i2i2−i22-2-22000000-22i2−i2i2−i20000000000−i2i2i2−i2000000
χ432-2-222200-2-2-22-220022-2-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i200i2−i2−i2i2-222-2000000-22i2−i2i2−i20000000000i2−i2−i2i2000000
χ442-2-222200-2-2-22-220022-2-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i200i2−i2i2−i2-22-220000002-2−i2i2−i2i20000000000i2−i2i2−i2000000
χ452-2-222200-2-2-22-220022-2-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i200i2−i2i2−i22-22-20000002-2i2−i2i2−i20000000000i2−i2i2−i2000000
χ462-2-222200-2-2-22-220022-2-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i200i2−i2−i2i22-2-22000000-22−i2i2−i2i20000000000i2−i2−i2i2000000
χ472-2-222200-2-2-22-220022-2-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i200−i2i2i2−i2-222-2000000-22−i2i2−i2i20000000000−i2i2i2−i2000000
χ482-2-222200-2-2-22-220022-2-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i200−i2i2−i2i2-22-220000002-2i2−i2i2−i20000000000−i2i2−i2i2000000
χ4944444-2-4-44-244-2-200-2-2-2-200-42-4200440000022000000000-4000000-2-200000000000000000200000000000000
χ5044444-2-4-44-244-2-200-2-2-2-200-42-4200-4-4000002200000000040000002200000000000000000-200000000000000
χ514444-24-4-4-24-2-24400-2-2-2-2002-42-44400000002200000000-400000-2-20000000000000000002000000000000000
χ524444-24-4-4-24-2-24400-2-2-2-2002-42-4-4-40000000220000000040000022000000000000000000-2000000000000000
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
χ5744-4-444-44-4-44-44-4004-4-440044-4-40000000004-400000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-424-4-224-4-222-200-424-2000004-4-222-2000000000000000000-22000000000000000000000000000000
χ5944-4-44-24-4-424-4-22-44-222-200-424-200000-442-22-20000000000000000002-2000000000000000000000000000000
χ6044-4-44-2-44-424-4-2200-222-2004-2-42000000000-220000000000000000000000000000000000000023−230000000000
χ6144-4-44-2-44-424-4-2200-222-2004-2-42000000000-2200000000000000000000000000000000000000−23230000000000
χ6244-4-4-244-42-4-224-44-4-222-2002-4-2400000-224-42-2000000000000000000-22000000000000000000000000000000
χ6344-4-4-244-42-4-224-4-44-222-2002-4-24000002-2-442-20000000000000000002-2000000000000000000000000000000
χ6444-4-4-24-442-4-224-400-222-200-242-4000000000-2200000000000000000000000000000000000023−23000000000000
χ6544-4-4-24-442-4-224-400-222-200-242-4000000000-22000000000000000000000000000000000000−2323000000000000
χ6644-4-4-2-24-422-22-224-41-1-110022-2-200000-22-22-1100003-33-300000000001-1003-300000000000000000000000000
χ6744-4-4-2-24-422-22-224-41-1-110022-2-200000-22-22-110000-33-3300000000001-100-3300000000000000000000000000
χ6844-4-4-2-24-422-22-22-441-1-110022-2-2000002-22-2-1100003-33-30000000000-1100-3300000000000000000000000000
χ6944-4-4-2-24-422-22-22-441-1-110022-2-2000002-22-2-110000-33-330000000000-11003-300000000000000000000000000
χ704-44-4440044-4-4-4-4004-44-4000000000000000000000000000000000000000000022−22−222200000000000000000000
χ714-44-4440044-4-4-4-4004-44-40000000000000000000000000000000000000000000−222222−2200000000000000000000
χ724-4-444-200-42-442-200-2-222−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i20000−2i22i200-22000000000000000000000000i2−i2000000
χ734-4-444-200-42-442-200-2-222−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i200002i2−2i2002-2000000000000000000000000−i2i2000000
χ744-4-444-200-42-442-200-2-2222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i200002i2−2i200-22000000000000000000000000−i2i2000000
χ754-4-444-200-42-442-200-2-2222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i20000−2i22i2002-2000000000000000000000000i2−i2000000
χ764-4-44-24002-42-2-4400-2-222−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i200−2i22i200-22000000000000000000000000i2−i200000000
χ774-4-44-24002-42-2-4400-2-222−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i2002i2−2i2002-2000000000000000000000000−i2i200000000
χ784-4-44-24002-42-2-4400-2-2222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i2002i2−2i200-22000000000000000000000000−i2i200000000
χ794-4-44-24002-42-2-4400-2-2222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i200−2i22i2002-2000000000000000000000000i2−i200000000
χ808888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-8-4-4-8844-44-44002-2-2200-4-4440000000002-200000000000000000000000000000000000000000000000000
χ828-88-88-4008-4-8-84400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800-4844-8-800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-4-44444002-22-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ858-88-8-4-400-4-44444002-22-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-40022-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-40022-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000

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