Finite Group Databasebeta

← Group #11878920

Character table — Group #11878920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order1222223344666666346666666888812121212121212126612121212242424242424242424242424242424244444444444444412121212121212124888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1111-1-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-11111-1-1-1-1-1-11-11
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-111111-11-1
χ81111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-11111-11-11
χ91111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11-111-1-111-1-1-111-1-111-1-1
χ101111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-111-11-1-111-1-111-111-1-1-1-111
χ111111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-11-1111-1-1-1-1111-1-1111-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-11-11-1-1-11111-1-11-1-111-111-1
χ131111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-11-1-11-1-111-1-111-1-1-11111-1-1
χ141111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-111-111-1-111-1-1-1-1-111-1-111
χ151111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-1-1-1111-1-1-11111-1-1111-1-11-1-11
χ161111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1111-1-1-1111-1-1-1-111111-1-1-111-1
χ1722222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-200000000000000002222-2-20000000000000000-200000000
χ1822222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-2220000000000000000200000000
χ192222222-1222-12-12-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000020002220000-1-1-1-1000000-10-1
χ202222222-1222-12-12-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-2000-2-2-200001111000000101
χ212222222-1222-12-12-1-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111000000020002-2-200001111000000-10-1
χ222222222-1222-12-12-1-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000000-2000-2220000-1-1-1-1000000101
χ23222222-1222-12-12-12-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000020222000-1-1-1-1000000000-10-10
χ24222222-1222-12-12-12-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-20-2-2-200011110000000001010
χ25222222-1222-12-12-12-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-21111000000202-2-20001111000000000-10-10
χ26222222-1222-12-12-12-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-21111000000-20-222000-1-1-1-10000000001010
χ272222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-20000000000000000200000000
χ282222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-222220000000000000000-2-222220000000000000000-200000000
χ292222-2-22-1222-12-12-1-1-2-2-211-1-1-122-2-222-1-1-1-1-1-111-211122-1-1-1-1-1-1-2-211111100000002000-22-20000-1-111000000-101
χ302222-2-22-1222-12-12-1-1-2-2-211-1-1-122-2-222-1-1-1-1-1-111-211122-1-1-1-1-1-1-2-21111110000000-20002-22000011-1-100000010-1
χ312222-2-22-1222-12-12-1-1-2-2-211-1-1-1-2-22222-1-1-1-1-1-111-2111-2-211111122-1-1-1-1-1-100000002000-2-22000011-1-1000000-101
χ322222-2-22-1222-12-12-1-1-2-2-211-1-1-1-2-22222-1-1-1-1-1-111-2111-2-211111122-1-1-1-1-1-10000000-200022-20000-1-11100000010-1
χ332222-2-2-1222-12-12-12-1-211-2-2-1-1-122-2-2-1-122-1-1-1-1111-211-1-122-1-1-1-111-2-2111100000020-22-2000-1-111000000000-1010
χ342222-2-2-1222-12-12-12-1-211-2-2-1-1-122-2-2-1-122-1-1-1-1111-211-1-122-1-1-1-111-2-21111000000-202-2200011-1-100000000010-10
χ352222-2-2-1222-12-12-12-1-211-2-2-1-1-1-2-222-1-122-1-1-1-1111-21111-2-21111-1-122-1-1-1-100000020-2-2200011-1-1000000000-1010
χ362222-2-2-1222-12-12-12-1-211-2-2-1-1-1-2-222-1-122-1-1-1-1111-21111-2-21111-1-122-1-1-1-1000000-2022-2000-1-11100000000010-10
χ3722-2-22-2220022-2-2-2-2202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−22-22-200000000000000000002−22−20000
χ3822-2-22-2220022-2-2-2-2202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−2-22-220000000000000000000−22−220000
χ3922-2-22-2220022-2-2-2-2202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−2222-22-20000000000000000000−22−220000
χ4022-2-22-2220022-2-2-2-2202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−222-22-2200000000000000000002−22−20000
χ4122-2-2-22220022-2-2-2-220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−2222-2-2200000000000000000002−2−220000
χ4222-2-2-22220022-2-2-2-220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−222-222-20000000000000000000−222−20000
χ4322-2-2-22220022-2-2-2-220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−22-2-220000000000000000000−222−20000
χ4422-2-2-22220022-2-2-2-220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−2-222-200000000000000000002−2−220000
χ454444444-2-4-44-24-24-2-2-444-2-2-2-2-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000000
χ46444444-24-4-4-24-24-24-2-4-2-244-2-2-2000022-4-42222-2-22-42200000000000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2-2-21114444-2-2-2-2111111-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2-2-2111-4-4-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000
χ514444-4-44-2-4-44-24-24-2-24-4-422-2-2-20000-4-4222222224-2-2-200000000000000000000000000000000000000000000000
χ524444-4-4-24-4-4-24-24-24-2422-4-4-2-2-2000022-4-4222222-24-2-200000000000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-4222211144-4-4-2-2-2-21111-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-42222111-4-444-2-2-2-21111-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000
χ5744-4-44-44-2004-2-42-42-204-4-22-22222−2222−2200000000-22000022−22−22−2−22222−22−22−2−2220000000000000000000000000000000
χ5844-4-44-44-2004-2-42-42-204-4-22-222−2222−222200000000-220000−22222−222−2−2−22222−222−2−20000000000000000000000000000000
χ5944-4-44-4-2400-242-42-4-20-224-4-22222−2222−2200000000-220000−2222−22−2−222−2222−22−2−2220000000000000000000000000000000
χ6044-4-44-4-2400-242-42-4-20-224-4-222−2222−222200000000-2200002−2−222222−2−22−2−222222−2−20000000000000000000000000000000
χ6144-4-44-4-2-200-2-2222210-22-221-1-122−2222−2200003i3i−3i−3i1-1003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000
χ6244-4-44-4-2-200-2-2222210-22-221-1-122−2222−220000−3i−3i3i3i1-100−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000
χ6344-4-44-4-2-200-2-2222210-22-221-1-1−2222−222200003i3i−3i−3i1-1003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000
χ6444-4-44-4-2-200-2-2222210-22-221-1-1−2222−22220000−3i−3i3i3i1-100−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000
χ6544-4-4-444-2004-2-42-42-20-442-2-22222−22−2222000000002-2000022−22−22−2−222−22222−222−2−20000000000000000000000000000000
χ6644-4-4-444-2004-2-42-42-20-442-2-222−222222−22000000002-20000−22222−222−2−222−22−22−2−2220000000000000000000000000000000
χ6744-4-4-44-2400-242-42-4-202-2-44-22222−22−2222000000002-20000−2222−22−2−2222−2−222222−2−20000000000000000000000000000000
χ6844-4-4-44-2400-242-42-4-202-2-44-222−222222−22000000002-200002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000
χ6944-4-4-44-2-200-2-22222102-22-21-1-122−22−222200003i3i−3i−3i-1100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000
χ7044-4-4-44-2-200-2-22222102-22-21-1-122−22−22220000−3i−3i3i3i-11003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000
χ7144-4-4-44-2-200-2-22222102-22-21-1-1−222222−2200003i3i−3i−3i-1100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000
χ7244-4-4-44-2-200-2-22222102-22-21-1-1−222222−220000−3i−3i3i3i-11003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000
χ734-44-4004400-4-444-4-4400000-44-4000000000000000000000000000000000000004-40000000000000000000000000
χ744-44-4004400-4-444-4-4400000-44-400000000000000000000000000000000000000-440000000000000000000000000
χ754-4-4400444-4-4-4-4-444400000-4-4400004-44-44-44-400000000000000000000000000000000000000000000000000000
χ764-4-440044-44-4-4-4-444400000-4-440000-44-44-44-4400000000000000000000000000000000000000000000000000000
χ774-4-44004-24-4-42-424-2-20000022-200004-4-22-22-22000000000000000000000000000000000000000000−2i32i3000000000
χ784-4-44004-24-4-42-424-2-20000022-200004-4-22-22-220000000000000000000000000000000000000000002i3−2i3000000000
χ794-4-44004-2-44-42-424-2-20000022-20000-442-22-22-20000000000000000000000000000000000000000−2i32i300000000000
χ804-4-44004-2-44-42-424-2-20000022-20000-442-22-22-200000000000000000000000000000000000000002i3−2i300000000000
χ814-4-4400-244-42-42-4-24-20000022-20000-224-4-22-2200000000000000000000000000000000000000−2i32i30000000000000
χ824-4-4400-244-42-42-4-24-20000022-20000-224-4-22-22000000000000000000000000000000000000002i3−2i30000000000000
χ834-4-4400-24-442-42-4-24-20000022-200002-2-442-22-2000000000000000000000000000000000000−2i32i3000000000000000
χ844-4-4400-24-442-42-4-24-20000022-200002-2-442-22-20000000000000000000000000000000000002i3−2i3000000000000000
χ858-88-8008-400-848-4-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-800-48004-8-484-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ878-88-800-4-40044-4-444200000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ888-88-800-4-40044-4-444200000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000
χ898-8-8800-4-48-84444-4-4200000-2-220000-44-442-22-200000000000000000000000000000000000000000000000000000
χ908-8-8800-4-4-884444-4-4200000-2-2200004-44-4-22-2200000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.