Finite Group Databasebeta

← Group #11878857

Character table — Group #11878857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122222334466666634666666612121212121244444412121212446612121212121212121248888121212121212121212121212224466661212121224242424888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-111-1-11111-1-1-11-1-1111-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-11-1-111-111-1-1-11111-1-1-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-111-1-11111-1-11-111-1-1-11-11-1-111-1-11111-1-111-1-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1111111-1-11-111-1-11-1-1111-1-1-1-111-1-111-1-1111-1
χ131111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-111111-1-1-1-111-1-111-1-1111-1-1-1-1-1-111-11-1-1111-1-1111-1-1-1-11111-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-111111-1-1-1-111-1-111-1-11-1-111-1-1-1-111-11-1-111-11-11-1-111-1-111-1-11111-1-11-1
χ151111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-11111-11-1-1-1-1-11111-1-1111-1-1-1-1-1-1111-111-1-1-111-1-1-11111-1-111-1-1-1-1111-1
χ161111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-11111-11-1-1-1-1-11111-1-11-1-111-1-1-1-1111-111-1-11-11-111-1-111-1-1-1-11111-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-22222-2-222220022-20000-2-2-2-2-2000022-2-2-2-20000000000000000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-20022-20000-2-2-2-220000-2-222220000000000000000000000000000
χ192222222-122-1-1-1222-1222-1-1-1-1-12222-1-1000000000022-1-1-12222-1-1-1-102222000000-1-1-1-1-1-12200-1-1-1-10000-1-1-1-1000000
χ202222222-122-1-1-1222-1222-1-1-1-1-12222-1-1000000000022-1-1-12222-1-1-1-10-2-2-2-2000000-1-1-1-1-1-1-2-200111100001111000000
χ212222222-122-1-1-1222-1222-1-1-1-1-12222-1-10000000000-2-2-1-1-1-2-2-2-2-1-1-1-102222000000111111-2-20011110000-1-1-1-1000000
χ222222222-122-1-1-1222-1222-1-1-1-1-12222-1-10000000000-2-2-1-1-1-2-2-2-2-1-1-1-10-2-2-2-20000001111112200-1-1-1-100001111000000
χ23222222-1222222-1-1-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-120000-1-1-1-1-1-122-1-1-1-100220000-1-1-1-10000000000
χ24222222-1222222-1-1-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-1-2-2-1-121111-1-1-1-120000-1-1-1-1-1-1-2-2111100-2-2000011110000000000
χ25222222-1222222-1-1-1-12-1-122-1-1-1-1-1-1-122-2-2-2-2-2-2111122-1-12-1-1-1-1-1-1-1-1-2000011111122-1-1-1-100-2-2000011110000000000
χ26222222-1222222-1-1-1-12-1-122-1-1-1-1-1-1-122-2-2-2-2-2-21111-2-2-1-121111-1-1-1-1-20000111111-2-2111100220000-1-1-1-10000000000
χ27222222-12-2-2222-1-1-1-1-2-1-122-1-1-11111-2-22222-2-2-1-1-1-100-1-1-2−i3i3−i3i31111-20000-1-1111100−i3i3−i3i300000000−i3i3−i3i30000000000
χ28222222-12-2-2222-1-1-1-1-2-1-122-1-1-11111-2-22222-2-2-1-1-1-100-1-1-2i3−i3i3−i31111-20000-1-1111100i3−i3i3−i300000000i3−i3i3−i30000000000
χ29222222-12-2-2222-1-1-1-1-2-1-122-1-1-11111-2-2-2-2-2-222111100-1-1-2−i3i3−i3i311112000011-1-1-1-100−i3i3−i3i300000000i3−i3i3−i30000000000
χ30222222-12-2-2222-1-1-1-1-2-1-122-1-1-11111-2-2-2-2-2-222111100-1-1-2i3−i3i3−i311112000011-1-1-1-100i3−i3i3−i300000000−i3i3−i3i30000000000
χ312222-2-222-2-222222222-2-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-200-2-220000-2-2222000022-2-2220000000000000000000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-222-2-2-2-22222222200-2-220000-2-222-20000-2-222-2-20000000000000000000000000000
χ332222-2-22-122-1-1-1222-1-2-2-211-1-1-122-2-2-1-100000000002-211122-2-2-1-111022-2-20000001-111-1-12-200-1-1110000-1-111000000
χ342222-2-22-122-1-1-1222-1-2-2-211-1-1-122-2-2-1-100000000002-211122-2-2-1-1110-2-2220000001-111-1-1-220011-1-1000011-1-1000000
χ352222-2-22-122-1-1-1222-1-2-2-211-1-1-122-2-2-1-10000000000-22111-2-222-1-111022-2-2000000-11-1-111-220011-1-10000-1-111000000
χ362222-2-22-122-1-1-1222-1-2-2-211-1-1-122-2-2-1-10000000000-22111-2-222-1-1110-2-222000000-11-1-1112-200-1-111000011-1-1000000
χ372222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-1112222-2-22211112-211-2-1-111-1-111-20000-1-1-1-111-2211-1-1002-20000-1-1110000000000
χ382222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-1112222-2-2221111-2211-211-1-1-1-111-20000-1-1-1-1112-2-1-11100-22000011-1-10000000000
χ392222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-11122-2-222-2-2-1-1-1-12-211-2-1-111-1-111200001111-1-1-2211-1-100-22000011-1-10000000000
χ402222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-11122-2-222-2-2-1-1-1-1-2211-211-1-1-1-111200001111-1-12-2-1-111002-20000-1-1110000000000
χ412222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-1-1-2-222-2-2-2-2111100112−i3i3i3−i311-1-120000-1-111-1-100i3−i3−i3i300000000−i3i3i3−i30000000000
χ422222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-1-1-2-222-2-2-2-2111100112i3−i3−i3i311-1-120000-1-111-1-100−i3i3i3−i300000000i3−i3−i3i30000000000
χ432222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-1-1-2-2-2-22222-1-1-1-100112−i3i3i3−i311-1-1-2000011-1-11100i3−i3−i3i300000000i3−i3−i3i30000000000
χ442222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-1-1-2-2-2-22222-1-1-1-100112i3−i3−i3i311-1-1-2000011-1-11100−i3i3i3−i300000000−i3i3i3−i30000000000
χ4522-2-22-222002-2-22-2-2202-22-22-2-20000002-22-20022-2-2002-20000000000−i2i2−i2i22-20000000000000000000000−i2i2−i2i2−i2i2−i2i200
χ4622-2-22-222002-2-22-2-2202-22-22-2-20000002-22-20022-2-2002-20000000000i2−i2i2−i22-20000000000000000000000i2−i2i2−i2i2−i2i2−i200
χ4722-2-22-222002-2-22-2-2202-22-22-2-2000000-22-2200-2-222002-20000000000−i2i2−i2i2-220000000000000000000000−i2i2−i2i2i2−i2i2−i200
χ4822-2-22-222002-2-22-2-2202-22-22-2-2000000-22-2200-2-222002-20000000000i2−i2i2−i2-220000000000000000000000i2−i2i2−i2−i2i2−i2i200
χ4922-2-2-2222002-2-22-2-220-22-222-2-20000002-2-2200-2-22200-220000000000−i2i2i2−i22-20000000000000000000000−i2i2i2−i2−i2i2i2−i200
χ5022-2-2-2222002-2-22-2-220-22-222-2-20000002-2-2200-2-22200-220000000000i2−i2−i2i22-20000000000000000000000i2−i2−i2i2i2−i2−i2i200
χ5122-2-2-2222002-2-22-2-220-22-222-2-2000000-222-20022-2-200-220000000000−i2i2i2−i2-220000000000000000000000−i2i2i2−i2i2−i2−i2i200
χ5222-2-2-2222002-2-22-2-220-22-222-2-2000000-222-20022-2-200-220000000000i2−i2−i2i2-220000000000000000000000i2−i2−i2i2−i2i2i2−i200
χ534444444-2-4-4-2-2-2444-2-444-2-2-2-2-2-4-4-4-422000000000000-2-2200002222000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-200000000004411-2-2-2-2-2111100000000000-2-211110000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000000000-4-411-2222211110000000000022-1-1-1-10000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000000000112−2i32i3−2i32i3-1-1-1-10000000000000i3−i3i3−i30000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222220000000000001122i3−2i32i3−2i3-1-1-1-10000000000000−i3i3−i3i30000000000000000000000
χ584444-4-44-2-4-4-2-2-2444-24-4-422-2-2-2-4-4442200000000000022-2000022-2-2000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-200000000004-4-1-12-2-22211-1-1000000000002-2-1-1110000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-20000000000-44-1-1222-2-211-1-100000000000-2211-1-10000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000-1-1-2−2i32i32i3−2i3-1-1110000000000000−i3i3i3−i30000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000-1-1-22i3−2i3−2i32i3-1-1110000000000000i3−i3−i3i30000000000000000000000
χ6344-4-44-44-200-2224-4-4-204-4-22-222000000000000000000-220000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i2000000
χ6444-4-44-44-200-2224-4-4-204-4-22-222000000000000000000-2200000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i2000000
χ6544-4-44-4-24004-4-4-222-20-224-4-2220000004-44-400-2-22200-2200000000000000-2200000000000000000000000000000000
χ6644-4-44-4-24004-4-4-222-20-224-4-222000000-44-440022-2-200-22000000000000002-200000000000000000000000000000000
χ6744-4-4-444-200-2224-4-4-20-442-2-2220000000000000000002-20000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000000
χ6844-4-4-444-200-2224-4-4-20-442-2-2220000000000000000002-200000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000000
χ6944-4-4-44-24004-4-4-222-202-2-44-2220000004-4-440022-2-2002-200000000000000-2200000000000000000000000000000000
χ7044-4-4-44-24004-4-4-222-202-2-44-222000000-444-400-2-222002-2000000000000002-200000000000000000000000000000000
χ714-44-400444-4-4-44-44-4400000-4-444-4004-400000000000000000004-400000000000000000000000000000000000000000
χ724-44-40044-44-4-44-44-4400000-4-44-4400-440000000000000000000-4400000000000000000000000000000000000000000
χ734-44-4004-24-422-2-44-4-20000022-24-400-220000000000000000000-2200000000000000000000000−2i32i30000000000000000
χ744-44-4004-24-422-2-44-4-20000022-24-400-220000000000000000000-22000000000000000000000002i3−2i30000000000000000
χ754-44-4004-2-4422-2-44-4-20000022-2-44002-200000000000000000002-20000000000000000000000000−2i32i300000000000000
χ764-44-4004-2-4422-2-44-4-20000022-2-44002-200000000000000000002-200000000000000000000000002i3−2i300000000000000
χ774-44-400-244-4-4-442-22-20000022-2-22004-400000023−2323−23000000000-220000000000023−230000000000000000000000000000
χ784-44-400-244-4-4-442-22-20000022-2-22004-4000000−2323−2323000000000-2200000000000−23230000000000000000000000000000
χ794-44-400-24-44-4-442-22-20000022-22-200-4400000023−2323−230000000002-200000000000−23230000000000000000000000000000
χ804-44-400-24-44-4-442-22-20000022-22-200-44000000−2323−23230000000002-20000000000023−230000000000000000000000000000
χ814-4-44004400-44-4-4-44400000-44-400000000004-40000000000000000000000004-4000000000000000000000000000000
χ824-4-44004400-44-4-4-44400000-44-40000000000-44000000000000000000000000-44000000000000000000000000000000
χ834-4-4400-2400-44-422-2-2000002-220023−230000004-423−23−23230000000000023−230000000-22000000000000000000000000000000
χ844-4-4400-2400-44-422-2-2000002-220023−23000000-44−232323−230000000000023−2300000002-2000000000000000000000000000000
χ854-4-4400-2400-44-422-2-2000002-2200−23230000004-4−232323−2300000000000−23230000000-22000000000000000000000000000000
χ864-4-4400-2400-44-422-2-2000002-2200−2323000000-4423−23−232300000000000−232300000002-2000000000000000000000000000000
χ8788-8-88-8-4-400-444-44420-44-442-2-20000000000000000002-2000000000000000000000000000000000000000000000000
χ8888-8-8-88-4-400-444-444204-44-42-2-2000000000000000000-22000000000000000000000000000000000000000000000000
χ898-88-800-4-48-844-44-44200000-2-22-4400-4400000000000000000002-200000000000000000000000000000000000000000
χ908-88-800-4-4-8844-44-44200000-2-224-4004-40000000000000000000-2200000000000000000000000000000000000000000
χ918-8-88008-4004-44-8-88-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800-4-4004-4444-4200000-22-20043−4300000000000000000000000−2323000000000000000000000000000000000000000
χ938-8-8800-4-4004-4444-4200000-22-200−43430000000000000000000000023−23000000000000000000000000000000000000000

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