Finite Group Databasebeta

← Group #11878925

Character table — Group #11878925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order1222334444666666346668888121212121212121212121212121212121212242424242424242424242424242424242244444444444412121212121212124888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1111-1-1-111-1-111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-1-1111-1-111-1-111-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-11111-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1111111-1-1
χ9111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-111-111-1-1-1-111111-1-11-11-1
χ10111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-11-1-11111-1-1111-1-1-11-11
χ11111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-111111-1-1-1-1-1-1-1111-1-11
χ12111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1111-1-1-1-1-11111-1-1-111-111-1
χ13111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-111-1111-1-1-1-1111-1-111-11-11
χ14111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-11-1-1-11111-1-11-1-1111-11-1
χ15111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-11-11-11111-1-1-1-1-111-1-1-111-1
χ16111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-11-11-1-1-1-11111-111-1-11-1-11
χ1722222222-2-22222222-222200002222-2-2-2-2-2-2-2-2-2-222-2-200000000000000002222-2-20000000000000000-200000000
χ1822222222-2-22222222-222200002222-2-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-2-2-2220000000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-222000000000000000022-2-2220000000000000000-200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-222-2-20000000000000000200000000
χ2122222-122222-12-12-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000200022200-1-100-1-10000000-1-1
χ2222222-122222-12-12-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-2000-2-2-200110011000000011
χ2322222-122222-12-12-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111000000020002-2-200-1-100-1-1000000011
χ2422222-122222-12-12-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000000-2000-222001100110000000-1-1
χ2522222-1-2-2222-12-12-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111100000002000-2-2200-1-1001100000001-1
χ2622222-1-2-2222-12-12-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-21111110000000-200022-2001100-1-10000000-11
χ2722222-1-2-2222-12-12-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100000002000-22-200-1-100110000000-11
χ2822222-1-2-2222-12-12-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-10000000-20002-22001100-1-100000001-1
χ292222-122222-12-12-12-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000020222000-1-100-1-10000000-1-100
χ302222-122222-12-12-12-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-20-2-2-200011001100000001100
χ312222-122222-12-12-12-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000000202-2-2000-1-100-1-100000001100
χ322222-122222-12-12-12-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000000-20-2220001100110000000-1-100
χ332222-12-2-222-12-12-12-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-2111100000020-22-2000-1-100110000000-1100
χ342222-12-2-222-12-12-12-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111000000-202-220001100-1-100000001-100
χ352222-12-2-222-12-12-12-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-100000020-2-22000-1-1001100000001-100
χ362222-12-2-222-12-12-12-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1000000-2022-20001100-1-10000000-1100
χ3722-2-2222-20022-2-2-2-2202-2-22−22−22-22-200000000002-2002−22−222−2−22−22−222−2−22-22-200000000000000000002−22−20000
χ3822-2-2222-20022-2-2-2-2202-2-22−22−22-22-200000000002-2002−22−222−2−22−22−222−2−2-22-220000000000000000000−22−220000
χ3922-2-2222-20022-2-2-2-2202-2-2−22−222-22-200000000002-200−22−22−2−222−22−22−2−2222-22-20000000000000000000−22−220000
χ4022-2-2222-20022-2-2-2-2202-2-2−22−222-22-200000000002-200−22−22−2−222−22−22−2−222-22-2200000000000000000002−22−20000
χ4122-2-222-220022-2-2-2-2202-2-22−2−22-22-220000000000-22002−22−222−2−2−22−22−2−2222-2-2200000000000000000002−2−220000
χ4222-2-222-220022-2-2-2-2202-2-22−2−22-22-220000000000-22002−22−222−2−2−22−22−2−222-222-20000000000000000000−222−20000
χ4322-2-222-220022-2-2-2-2202-2-2−222−2-22-220000000000-2200−22−22−2−2222−22−222−2−22-2-220000000000000000000−222−20000
χ4422-2-222-220022-2-2-2-2202-2-2−222−2-22-220000000000-2200−22−22−2−2222−22−222−2−2-222-200000000000000000002−2−220000
χ4544444-244-4-44-24-24-2-2-4-2-2-2000044-2-2-4222-4222-42-2-22200000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-24-2-2-20000-4-422-4222-42224-222-2-200000000000000000000000000000000000000000000000
χ474444-2444-4-4-24-24-24-2-4-2-2-20000-2-2442-4222-4222-4-2-22200000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-24-2-2-2000022-4-42-4222-422-2422-2-200000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-41110000-2-2-2-222-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-41110000-2-2-2-222-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-411144-4-42222-2-211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-4-4442222-2-211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000
χ5744-4-44-24-4004-2-42-42-20-22222−2222−224-4-220000000000-220022−22−22−2−22222−22−22−2−2220000000000000000000000000000000
χ5844-4-44-24-4004-2-42-42-20-222−2222−22224-4-220000000000-2200−22222−222−2−2−22222−222−2−20000000000000000000000000000000
χ5944-4-44-2-44004-2-42-42-20-22222−22−2222-442-200000000002-20022−22−22−2−222−22222−222−2−20000000000000000000000000000000
χ6044-4-44-2-44004-2-42-42-20-222−222222−22-442-200000000002-200−22222−222−2−222−22−22−2−2220000000000000000000000000000000
χ6144-4-4-244-400-242-42-4-20-22222−2222−22-224-40000000000-2200−2222−22−2−222−2222−22−2−2220000000000000000000000000000000
χ6244-4-4-244-400-242-42-4-20-222−2222−2222-224-40000000000-22002−2−222222−2−22−2−222222−2−20000000000000000000000000000000
χ6344-4-4-24-4400-242-42-4-20-22222−22−22222-2-4400000000002-200−2222−22−2−2222−2−222222−2−20000000000000000000000000000000
χ6444-4-4-24-4400-242-42-4-20-222−222222−222-2-4400000000002-2002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000
χ6544-4-4-2-24-400-2-22222101-1-122−2222−22-22-22003i−3i003i−3i001-13i−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
χ6644-4-4-2-24-400-2-22222101-1-122−2222−22-22-2200−3i3i00−3i3i001-1−3i3i−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
χ6744-4-4-2-24-400-2-22222101-1-1−2222−2222-22-22003i−3i003i−3i001-13i−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
χ6844-4-4-2-24-400-2-22222101-1-1−2222−2222-22-2200−3i3i00−3i3i001-1−3i3i2−22−2−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
χ6944-4-4-2-2-4400-2-22222101-1-122−22−22222-22-2003i−3i003i−3i00-11−3i3i−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
χ7044-4-4-2-2-4400-2-22222101-1-122−22−22222-22-200−3i3i00−3i3i00-113i−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
χ7144-4-4-2-2-4400-2-22222101-1-1−222222−222-22-2003i−3i003i−3i00-11−3i3i2−22−22ζ5+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
χ7244-4-4-2-2-4400-2-22222101-1-1−222222−222-22-200−3i3i00−3i3i00-113i−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
χ734-44-4440000-4-444-4-440-44-40000000000000000000000000000000000000000004-40000000000000000000000000
χ744-44-4440000-4-444-4-440-44-4000000000000000000000000000000000000000000-440000000000000000000000000
χ754-4-4444004-4-4-4-4-44440-4-4400000000-4-4-4-4444400000000000000000000000000000000000000000000000000000
χ764-4-444400-44-4-4-4-44440-4-44000000004444-4-4-4-400000000000000000000000000000000000000000000000000000
χ774-4-444-2004-4-42-424-2-2022-200000000-42224-2-2-2000000000000000000000000000000000000000000−2i32i3000000000
χ784-4-444-2004-4-42-424-2-2022-200000000-42224-2-2-20000000000000000000000000000000000000000002i3−2i3000000000
χ794-4-444-200-44-42-424-2-2022-2000000004-2-2-2-42220000000000000000000000000000000000000023−230000000000000
χ804-4-444-200-44-42-424-2-2022-2000000004-2-2-2-422200000000000000000000000000000000000000−23230000000000000
χ814-4-44-24004-42-42-4-24-2022-2000000002-422-24-2-20000000000000000000000000000000000000000−2i32i300000000000
χ824-4-44-24004-42-42-4-24-2022-2000000002-422-24-2-200000000000000000000000000000000000000002i3−2i300000000000
χ834-4-44-2400-442-42-4-24-2022-200000000-24-2-22-42200000000000000000000000000000000000023−23000000000000000
χ844-4-44-2400-442-42-4-24-2022-200000000-24-2-22-422000000000000000000000000000000000000−2323000000000000000
χ858-88-88-40000-848-4-84-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4800004-8-484-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4000044-4-44420-22-200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ888-88-8-4-4000044-4-44420-22-20000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-84444-4-420-2-220000000044-2-2-4-42200000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-884444-4-420-2-2200000000-4-42244-2-200000000000000000000000000000000000000000000000000000

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