Finite Group Databasebeta

← Group #11895495

Character table — Group #11895495

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424244444888844121212122424242424244444881212121212122424242412121212121212444441212122424444881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-1-1-111
χ51111111111111111111111111111-1-111-1-1-1-1111111111111-111111-1-111-1-1-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-111-1-111-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11111-1-11111-11-1-1-1-1111-1-1-111-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-1-1-11111-1-11111-1-11-1-1-1-11-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11-1111111-1-111-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-111-11-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-11-1-1-1-111-1-1-111-1-1-111-111111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-11111-1-1-1-1-1111-1-1-1-1-1-1-1111-111
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-111111-1-1-1-1-1-1-1111-1-1-1-111-1-111111-1-1-1-111-1-11-1-1111-1-1-11111-11-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11111-1-111-1-11-11111111-1-11-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-200002222-2-20000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000-22000022-2-2-2-200000000000-2-200020000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-20000002-20000-2-2222200000000000-2-2000-20000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-2000000220000-2-2-2-222000000000002200020000-200000000
χ2122222-12222-1-1-12-1-1-1-1222-1-12-1-1-1-1220022222222-1-122-1-1-1-1200000-1-100-1-1-1-1-1-1-1-12-1-1-1-1002020000000000-1-100
χ2222222-12222-1-1-12-1-1-1-1222-1-12-1-1-1-122002222-2-2-2-2-1-122-1-1-1-1200000-1-100-1-1-1-1-1-111-2111100-20-200000000001100
χ2322222-12222-1-1-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-1-2000001100111111-1-12-1-1-1-100-20-200000000001100
χ2422222-12222-1-1-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-1-200000110011111111-21111002020000000000-1-100
χ2522222-12222-1-1-12-1-1-1-1-2-22-1-1211112200-2-2-2-22-2-2-2-1-1-2-21111200000-1-100-1-111111-12-1-1110020-200000000001-100
χ2622222-12222-1-1-12-1-1-1-1-2-22-1-1211112200-2-2-2-2-2222-1-1-2-21111200000-1-100-1-11111-11-211-1-100-2020000000000-1100
χ2722222-12222-1-1-12-1-1-1-1-2-22-1-121111-2-20022222-2-2-2-1-1-2-21111-200000110011-1-1-1-11-12-1-11100-2020000000000-1100
χ2822222-12222-1-1-12-1-1-1-1-2-22-1-121111-2-2002222-2222-1-1-2-21111-200000110011-1-1-1-1-11-211-1-10020-200000000001-100
χ292222-1222-1-1222-1-1-1-1-122-122-122220022000022-1-1-1-1-1-1-1-1-1-102222200-1-100000022-1-1-1-1-100020-1-1-1-1-10000000-10
χ302222-1222-1-1222-1-1-1-1-122-122-1222200220000-2-211-1-1-1-1-1-1-1-102-2-22200-1-1000000-2-211111000-20-111-1-1000000010
χ312222-1222-1-1222-1-1-1-1-122-122-1222200-2-2000022-1-1-1-1-1-1-1-1-1-10-2-2-2-2-2001100000022-1-1-1-1-1000-2011111000000010
χ322222-1222-1-1222-1-1-1-1-122-122-1222200-2-20000-2-211-1-1-1-1-1-1-1-10-222-2-20011000000-2-211111000201-1-1110000000-10
χ332222-1222-1-1222-1-1-1-1-1-2-2-122-1-2-2-2-2002200002-211-1-111111102-2-2-2-200-1-1000000-22-1-1-11100020-111110000000-10
χ342222-1222-1-1222-1-1-1-1-1-2-2-122-1-2-2-2-200220000-22-1-1-1-11111110222-2-200-1-10000002-2111-1-1000-20-1-1-111000000010
χ352222-1222-1-1222-1-1-1-1-1-2-2-122-1-2-2-2-200-2-200002-211-1-11111110-222220011000000-22-1-1-111000-201-1-1-1-1000000010
χ362222-1222-1-1222-1-1-1-1-1-2-2-122-1-2-2-2-200-2-20000-22-1-1-1-11111110-2-2-22200110000002-2111-1-100020111-1-10000000-10
χ3722-2-222002-22-2-2-222-2-22−2000022−2−22-22-222−2−20000002−222−2−200002−22-22-20022−2−200000002-20000002−20002−20000
χ3822-2-222002-22-2-2-222-2-22−2000022−2−22-2-2222−2−20000002−222−2−20000−222-2-220022−2−20000000-22000000−22000−220000
χ3922-2-222002-22-2-2-222-2-22−2000022−2−2-222-2−2−2220000002−222−2−200002−2-222-200−2−2220000000-220000002−2000−220000
χ4022-2-222002-22-2-2-222-2-22−2000022−2−2-22-22−2−2220000002−222−2−20000−22-22-2200−2−22200000002-2000000−220002−20000
χ4122-2-222002-22-2-2-222-2-2−220000−2−2222-22-2−2−222000000−22−2−2220000−222-22-200−2−22200000002-2000000−22000−220000
χ4222-2-222002-22-2-2-222-2-2−220000−2−2222-2-22−2−222000000−22−2−22200002−22-2-2200−2−2220000000-220000002−20002−20000
χ4322-2-222002-22-2-2-222-2-2−220000−2−222-222-222−2−2000000−22−2−2220000−22-222-20022−2−20000000-22000000−220002−20000
χ4422-2-222002-22-2-2-222-2-2−220000−2−222-22-2222−2−2000000−22−2−22200002−2-22-220022−2−200000002-20000002−2000−220000
χ452-2-2222-22-22-22-2-22-2-2200-22-22000000002i−2i2i−2i0000-22000000002i−2i000000002i−2i2i−2i00000000000002i−2i0002-2000000
χ462-2-2222-22-22-22-2-22-2-2200-22-22000000002i−2i2i−2i0000-2200000000−2i2i000000002i−2i2i−2i0000000000000−2i2i000-22000000
χ472-2-2222-22-22-22-2-22-2-2200-22-2200000000−2i2i−2i2i0000-22000000002i−2i00000000−2i2i−2i2i00000000000002i−2i000-22000000
χ482-2-2222-22-22-22-2-22-2-2200-22-2200000000−2i2i−2i2i0000-2200000000−2i2i00000000−2i2i−2i2i0000000000000−2i2i0002-2000000
χ4944444-2-4-444-2-2-24-2-2-2-200-422-4000044000000000022000000-400000-2-20022000000000000000000000000000000
χ5044444-2-4-444-2-2-24-2-2-2-200-422-40000-4-40000000000220000004000002200-2-2000000000000000000000000000000
χ514444-24-4-4-2-2444-2-2-2-2-2002-4-420000004400000000220000000-4000000-2-200000000000000000020000000000000
χ524444-24-4-4-2-2444-2-2-2-2-2002-4-42000000-4-400000000220000000400000022000000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-100000000000000002-2-211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-10000000000000000-222-1-1110000000000000000000
χ5744-4-44-2004-4-222-4-2-22222−220000−2−2224-4002222−22−2200000022−22−2−222000000-220000−2−22200000000000000000000000000
χ5844-4-44-2004-4-222-4-2-22222−220000−2−222-4400−22−22222200000022−22−2−2220000002-2000022−2−200000000000000000000000000
χ5944-4-44-2004-4-222-4-2-222−2222000022−2−24-400−22−222222000000−222222−2−2000000-22000022−2−200000000000000000000000000
χ6044-4-44-2004-4-222-4-2-222−2222000022−2−2-44002222−22−22000000−222222−2−20000002-20000−2−22200000000000000000000000000
χ6144-4-4-2400-224-4-42-2-22222−2200002222−22−22004-40000000000−22−2−222000022−2200-22000000000000000000000−22000000000
χ6244-4-4-2400-224-4-42-2-22222−2200002222−22−2200-440000000000−22−2−2220000−2222002-20000000000000000000002−2000000000
χ6344-4-4-2400-224-4-42-2-222−22220000−22−222222004-400000000002−222−2−20000−222200-220000000000000000000002−2000000000
χ6444-4-4-2400-224-4-42-2-222−22220000−22−22222200-4400000000002−222−2−2000022−22002-2000000000000000000000−22000000000
χ654-44-44400-4-4-4-4444-44-400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ664-44-44400-4-4-4-4444-44-4000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ674-44-44-200-4-422-24-22-220000006−66−60000−2i22i22i2−2i2000000006−66−60000000000−2i32i3i2−i2−i2i200000000000000000000000000
χ684-44-44-200-4-422-24-22-220000006−66−600002i2−2i2−2i22i2000000006−66−600000000002i3−2i3−i2i2i2−i200000000000000000000000000
χ694-44-44-200-4-422-24-22-22000000−66−660000−2i22i22i2−2i200000000−66−6600000000002i3−2i3i2−i2−i2i200000000000000000000000000
χ704-44-44-200-4-422-24-22-22000000−66−6600002i2−2i2−2i22i200000000−66−660000000000−2i32i3−i2i2i2−i200000000000000000000000000
χ714-4-44444-4-44-44-4-44-4-44004-44-400000000000000004-4000000000000000000000000000000000000000000000000
χ724-4-444-24-4-442-22-4-222-20042-2-423−23−2323000000000000-220023−23−2323000000000000000000000000000000000000000000
χ734-4-444-24-4-442-22-4-222-20042-2-4−232323−23000000000000-2200−232323−23000000000000000000000000000000000000000000
χ744-4-444-2-44-442-22-4-222-200-4-224000000004i−4i4i−4i00002-2000000000000000000−2i2i−2i2i00000000000000000000000000
χ754-4-444-2-44-442-22-4-222-200-4-22400000000−4i4i−4i4i00002-20000000000000000002i−2i2i−2i00000000000000000000000000
χ764-4-44-244-42-2-44-42-222-200-2-44200000000000000−2i32i3-22000000000000000000000000000−2i32i30000000000000000000
χ774-4-44-244-42-2-44-42-222-200-2-442000000000000002i3−2i3-220000000000000000000000000002i3−2i30000000000000000000
χ784-4-44-24-442-2-44-42-222-20024-4-200000000000000002-2000000004i−4i0000000000000000000000000−2i2i00000000000
χ794-4-44-24-442-2-44-42-222-20024-4-200000000000000002-200000000−4i4i00000000000000000000000002i−2i00000000000
χ804-4-44-2-24-42-22-2221-1-1100-22-2223−23−23230000000000−2i32i31-100−333−300000000000000000003i−3ii3−i30000000000000000000
χ814-4-44-2-24-42-22-2221-1-1100-22-2223−23−232300000000002i3−2i31-100−333−30000000000000000000−3i3i−i3i30000000000000000000
χ824-4-44-2-24-42-22-2221-1-1100-22-22−232323−230000000000−2i32i31-1003−3−330000000000000000000−3i3ii3−i30000000000000000000
χ834-4-44-2-24-42-22-2221-1-1100-22-22−232323−2300000000002i3−2i31-1003−3−3300000000000000000003i−3i−i3i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-444422-2-242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-444422-2-2−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000
χ878-88-8-480044-8-88-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004444-4-42-22-200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000000
χ898-88-8-4-4004444-4-42-22-2000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000000
χ908-8-88-4-4-884-44-4442-2-22004-44-40000000000000000-22000000000000000000000000000000000000000000000000

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