Finite Group Databasebeta

← Group #11884127

Character table — Group #11884127

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order1222223344666666223466666666666666612121212266666666666666121212121212244412121212444468812121212122424242444888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1111
χ61111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ71111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ81111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-111-11111111111-1-1-1-1-1-11
χ91111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-11-1-111-111-111-1-1-1-11111-1-1-1-111-1-11-11
χ101111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-11-1-111-1-1111-11-1-1-111-1-11111-1-111-11-1
χ111111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-1-111-111-1-111-1-1-11-1111-1-111-1-111-1-1111-1-1
χ121111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-1-111-111-1-11-1-11-1-11111-1-1-1-111-1-111-1-1-111
χ131111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-11-1-11-1-11111-1-11-11-111-1-1-1-111-1-1-1-1111-11
χ141111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-11-1-11-1-1111-1-1111-1-111-1-111-1-11111-1-1-11-1
χ151111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-111-111-1-1-111-1-1-111-1-111-1-1111111-1-11-1-1
χ161111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-111-111-1-1-1-111-11-11-1-11111-1-1-1-1-1-111-111
χ1722222222-2-2222222002-2222200002222222-2-2-2-2000000000000000-2-2-2-2-2-222-2-2-2-2-2-20000200200000000000000000
χ1822222222-2-2222222002-2222200002222222-2-2-2-2000000000000000-2-2-2-2-2-2-2-22222220000-200-200000000000000000
χ192222222-1222-122-1-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-12222-1-1-1-12020-100-1-1-1-1-10000000000000
χ202222222-1222-122-1-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-2-2-2-21111-20-20100111110000000000000
χ212222222-1222-122-1-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-122-2-2-2-2-211111111112-1-1-1-1-12222-1-1-1-1-20-20-100-111110000000000000
χ222222222-1222-122-1-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-122-2-2-2-2-211111111112-1-1-1-1-1-2-2-2-2111120201001-1-1-1-10000000000000
χ232222222-1-2-22-122-1-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-200000−i3i3−i3−i3i3i3−i3−i3i3i3-21111122-2-211110000-100-1−i3i3−i3i30000000000000
χ242222222-1-2-22-122-1-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-200000−i3i3−i3−i3i3i3−i3−i3i3i3-211111-2-222-1-1-1-100001001i3−i3i3−i30000000000000
χ252222222-1-2-22-122-1-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-200000i3−i3i3i3−i3−i3i3i3−i3−i3-21111122-2-211110000-100-1i3−i3i3−i30000000000000
χ262222222-1-2-22-122-1-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-200000i3−i3i3i3−i3−i3i3i3−i3−i3-211111-2-222-1-1-1-100001001−i3i3−i3i30000000000000
χ27222222-1222-12-1-12222-12-1-1222222-1-1-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-100000000020202200000-1-1-1-1000000-1-10
χ28222222-1222-12-1-12222-12-1-1222222-1-1-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1000000000-20-20-2-2000001111000000110
χ29222222-1222-12-1-122-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-21111-2-211111111-12-1-1-1-10000000002020-2-2000001111000000-1-10
χ30222222-1222-12-1-122-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-21111-2-211111111-12-1-1-1-1000000000-20-202200000-1-1-1-1000000110
χ312222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-200000000000000022-2-2222-22-222-2-20000200-200000000000000000
χ322222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-200000000000000022-2-222-22-22-2-2220000-200200000000000000000
χ332222-2-22-1222-122-1-122-1-2-2-211-1-1-1-1-1-11111-1-1-122-222-2-211-1-1-1-11111-21-1-1112-2-2211-1-1-2020-100111-1-10000000000000
χ342222-2-22-1222-122-1-122-1-2-2-211-1-1-1-1-1-11111-1-1-122-222-2-211-1-1-1-11111-21-1-111-222-2-1-11120-20100-1-1-1110000000000000
χ352222-2-22-1222-122-1-1-2-2-1-2-2-2111111-1-11111-1-1-1222-2-222-1-11111-1-1-1-1-21-1-1112-2-2211-1-120-20-1001-1-1110000000000000
χ362222-2-22-1222-122-1-1-2-2-1-2-2-2111111-1-11111-1-1-1222-2-222-1-11111-1-1-1-1-21-1-111-222-2-1-111-2020100-111-1-10000000000000
χ372222-2-22-1-2-22-122-1-100-12-2-211−i3−i3i3i3-1-11111-111-2-200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-12-22-2-1-1110000-1001i3−i3−i3i30000000000000
χ382222-2-22-1-2-22-122-1-100-12-2-211−i3−i3i3i3-1-11111-111-2-200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-1-22-2211-1-10000100-1−i3i3i3−i30000000000000
χ392222-2-22-1-2-22-122-1-100-12-2-211i3i3−i3−i3-1-11111-111-2-200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-12-22-2-1-1110000-1001−i3i3i3−i30000000000000
χ402222-2-22-1-2-22-122-1-100-12-2-211i3i3−i3−i3-1-11111-111-2-200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-1-22-2211-1-10000100-1i3−i3−i3i30000000000000
χ412222-2-2-1222-12-1-12222-1-211-2-22222-1-11111-122-1-1-2-1-111-2-2-1-1-1-111111-2-1-11100000000020-202-200000-1-111000000-110
χ422222-2-2-1222-12-1-12222-1-211-2-22222-1-11111-122-1-1-2-1-111-2-2-1-1-1-111111-2-1-111000000000-2020-220000011-1-10000001-10
χ432222-2-2-1222-12-1-122-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-1211-1-1221111-1-1-1-11-2-1-11100000000020-20-220000011-1-1000000-110
χ442222-2-2-1222-12-1-122-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-1211-1-1221111-1-1-1-11-2-1-111000000000-20202-200000-1-1110000001-10
χ452-2-220022-22-2-2-22-222-22000002-22-2-2-2000022-22-202-200002-22-20000002-2000000000000000000000000002-2002-2000
χ462-2-220022-22-2-2-22-222-22000002-22-2-2-2000022-22-202-200002-22-20000002-200000000000000000000000000-2200-22000
χ472-2-220022-22-2-2-22-22-22200000-22-22-2-2000022-22-20-220000-22-220000002-2000000000000000000000000002-200-22000
χ482-2-220022-22-2-2-22-22-22200000-22-22-2-2000022-22-20-220000-22-220000002-200000000000000000000000000-22002-2000
χ49444444-24-4-4-24-2-24400-2-4-2-2440000-2-2-2-2-2-2-2-4-4220000000000000002-42222000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-24414-2-2-2-2-2-2-2-21111111-2-2-2-24-2-2-2-2-2-211111111-2-21111000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-2-4-414-2-2-2-222221111111-2-2-2-2-4222222-1-1-1-1-1-1-1-1-2-21111000000000000000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-2001-4-2-2-2-2−2i3−2i32i32i31111111222200000−2i32i3i3i3−i3−i3i3i3−i3−i322-1-1-1-1000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-2001-4-2-2-2-22i32i3−2i3−2i311111112222000002i3−2i3−i3−i3i3i3−i3−i3i3i322-1-1-1-1000000000000000000000000000000000
χ544444-4-4-24-4-4-24-2-24400-2422-4-40000-2-22222-2-4-422000000000000000-2422-2-2000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-2441-42222-2-2-2-211-1-1-1-11-2-2-2-2-4-2-222221111-1-1-1-12211-1-1000000000000000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-2-4-41-42222222211-1-1-1-11-2-2-2-2422-2-2-2-2-1-1-1-111112211-1-1000000000000000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-200142222−2i3−2i32i32i311-1-1-1-112222000002i3−2i3i3i3−i3−i3−i3−i3i3i3-2-2-1-111000000000000000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2001422222i32i3−2i3−2i311-1-1-1-11222200000−2i32i3−i3−i3i3i3i3i3−i3−i3-2-2-1-111000000000000000000000000000000000
χ5944-4-44-4440044-4-4-4-400404-44-400004-444-4-4-40000000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-2004-2-4-42200-204-4-220000-22-2-22220000000000000000000000000000023−2323−230000000000000000000000000
χ6144-4-44-44-2004-2-4-42200-204-4-220000-22-2-222200000000000000000000000000000−2323−23230000000000000000000000000
χ6244-4-44-4-2400-2422-4-400-20-224-40000-22-2-22220000000000000000000000000000000000000000000006−66−6000000000
χ6344-4-44-4-2400-2422-4-400-20-224-40000-22-2-2222000000000000000000000000000000000000000000000−66−66000000000
χ6444-4-4-44440044-4-4-4-40040-44-4400004-4-4-444-40000000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-2004-2-4-42200-20-442-20000-2222-2-220000000000000000000000000000023−23−23230000000000000000000000000
χ6644-4-4-444-2004-2-4-42200-20-442-20000-2222-2-2200000000000000000000000000000−232323−230000000000000000000000000
χ6744-4-4-44-2400-2422-4-400-202-2-440000-2222-2-220000000000000000000000000000000000000000000006−6−66000000000
χ6844-4-4-44-2400-2422-4-400-202-2-440000-2222-2-22000000000000000000000000000000000000000000000−666−6000000000
χ694-44-4004400-4-44-44-4004000000000-440000-4000000000000000000000000000000000000000000000000000−2i22i200000
χ704-44-4004400-4-44-44-4004000000000-440000-40000000000000000000000000000000000000000000000000002i2−2i200000
χ714-4-4400444-4-4-4-44-44004000000000-4-400004-44-4400000000000000000-4400000000000000000000000000000000000
χ724-4-44004-24-4-42-442-200-200000−2i32i32i3−2i3220000-22-2-440000000−2i32i32i3−2i30000002-200000000000000000000000000000000000
χ734-4-44004-24-4-42-442-200-2000002i3−2i3−2i32i3220000-22-2-4400000002i3−2i3−2i32i30000002-200000000000000000000000000000000000
χ744-4-44004-2-44-42-442-24-4-200000-22-22220000-2-224-404-40000-22-22000000-2200000000000000000000000000000000000
χ754-4-44004-2-44-42-442-2-44-2000002-22-2220000-2-224-40-4400002-22-2000000-2200000000000000000000000000000000000
χ764-4-4400-244-42-42-2-4400-2000000000220000-2-442-2000−2i32i3000000−2i32i3−2i32i3002-200000000000000000000000000000000000
χ774-4-4400-244-42-42-2-4400-2000000000220000-2-442-20002i3−2i30000002i3−2i32i3−2i3002-200000000000000000000000000000000000
χ784-4-4400-24-442-42-2-444-4-2000004-44-4220000-24-4-220-220000-22-22000000-2200000000000000000000000000000000000
χ794-4-4400-24-442-42-2-44-44-200000-44-44220000-24-4-2202-200002-22-2000000-2200000000000000000000000000000000000
χ804-4-4400-2-24-4222-22-200100000−2i32i32i3−2i3-1-13-33-312-22-2000−2i32i300i3−i3−i3i3i3−i3i3−i300-113-3000000000000000000000000000000000
χ814-4-4400-2-24-4222-22-200100000−2i32i32i3−2i3-1-1-33-3312-22-20002i3−2i300i3−i3−i3i3−i3i3−i3i300-11-33000000000000000000000000000000000
χ824-4-4400-2-24-4222-22-2001000002i3−2i3−2i32i3-1-13-33-312-22-20002i3−2i300−i3i3i3−i3−i3i3−i3i300-113-3000000000000000000000000000000000
χ834-4-4400-2-24-4222-22-2001000002i3−2i3−2i32i3-1-1-33-3312-22-2000−2i32i300−i3i3i3−i3i3−i3i3−i300-11-33000000000000000000000000000000000
χ844-4-4400-2-2-44222-22-24-4100000-22-22-1-13-33-31-22-220-2200001-11-1-333-3001-1-33000000000000000000000000000000000
χ854-4-4400-2-2-44222-22-24-4100000-22-22-1-1-33-331-22-220-2200001-11-13-3-33001-13-3000000000000000000000000000000000
χ864-4-4400-2-2-44222-22-2-441000002-22-2-1-13-33-31-22-2202-20000-11-113-3-33001-1-33000000000000000000000000000000000
χ874-4-4400-2-2-44222-22-2-441000002-22-2-1-1-33-331-22-2202-20000-11-11-333-3001-13-3000000000000000000000000000000000
χ8888-8-88-8-4-400-4-444440020-44-4400002-222-2-2-20000000000000000000000000000000000000000000000000000000000
χ8988-8-8-88-4-400-4-4444400204-44-400002-2-2-222-20000000000000000000000000000000000000000000000000000000000
χ908-88-8008-400-848-8-4400-40000000004-4000040000000000000000000000000000000000000000000000000000000000
χ918-88-800-48004-8-448-800-40000000004-4000040000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40044-44-44002000000000-226-6-66-20000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40044-44-44002000000000-22-666-6-20000000000000000000000000000000000000000000000000000000000

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