Finite Group Databasebeta

← Group #11878673

Character table — Group #11878673

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444888888888888888888888888121212121212121218181818181824242424242424242424242436484848487272
order12222233446666663466666666666121212122266666666666666661212121212128888888844444422442424242424242424466121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-11111-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-1111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ91111-1-111111111111-1-1-1-1-111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-11-11
χ111111-1-111111111111-1-1-1-1-111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-11-111-1-11
χ121111-1-111111111111-1-1-1-1-111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1111-1
χ131111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-111-111-1-1-1-1111-111-11-1
χ151111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-11111-1-111-1-111-1
χ161111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-111-111-1-1-11
χ1722222222-2-22222222-222222222222-2-2-2-2000000000000000000-2-2-2-2-2-20000000022-2-2-2-20000000000002000000
χ1822222222-2-22222222-222222222222-2-2-2-2000000000000000000-2-2-2-2-2-200000000-2-22222000000000000-2000000
χ192222222-1222-12-12-1-1222-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-10000222200000002020000-1-1-1-100-10-100
χ202222222-1222-12-12-1-1222-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-10000-2-2-2-20000000-20-2000011110010100
χ212222222-1222-12-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-2-2-211-2-211111111112-1-1-1-1-1000022220000000-20-20000-1-1-1-10010100
χ222222222-1222-12-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-2-2-211-2-211111111112-1-1-1-1-10000-2-2-2-200000002020000111100-10-100
χ23222222-1222-12-12-12-12-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1222200000000002020-1-1-1-100000-10-1000
χ24222222-1222-12-12-12-12-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-20000000000-20-20111100000101000
χ25222222-1222-12-12-12-12-1-122-1-1-1-1-1-1-1-1-122-2-211-2-211-2-211111111-12-1-1-1-122220000000000-20-20-1-1-1-100000101000
χ26222222-1222-12-12-12-12-1-122-1-1-1-1-1-1-1-1-122-2-211-2-211-2-211111111-12-1-1-1-1-2-2-2-200000000002020111100000-10-1000
χ272222-2-222-2-222222222-2-2-2-222-2-2-2-22-2-2-2-200000000000000000022-2-2220000000022-2-222000000000000-2000000
χ282222-2-222-2-222222222-2-2-2-222-2-2-2-22-2-2-2-200000000000000000022-2-22200000000-2-222-2-20000000000002000000
χ292222-2-22-1222-12-12-1-1-2-2-211-1-11111-122-1-12-222-1-1-2-211-1-1-1-11111-21-1-111000022-2-2000000020-20000-1-11100-10100
χ302222-2-22-1222-12-12-1-1-2-2-211-1-11111-122-1-12-222-1-1-2-211-1-1-1-11111-21-1-1110000-2-2220000000-202000011-1-10010-100
χ312222-2-22-1222-12-12-1-1-2-2-211-1-11111-122-1-1-22-2-21122-1-11111-1-1-1-1-21-1-111000022-2-20000000-2020000-1-1110010-100
χ322222-2-22-1222-12-12-1-1-2-2-211-1-11111-122-1-1-22-2-21122-1-11111-1-1-1-1-21-1-1110000-2-222000000020-2000011-1-100-10100
χ332222-2-2-1222-12-12-12-1-211-2-2-1-11111-1-1-1222-2-1-12211-2-2-1-1-1-111111-2-1-11122-2-2000000000020-20-1-11100000-101000
χ342222-2-2-1222-12-12-12-1-211-2-2-1-11111-1-1-1222-2-1-12211-2-2-1-1-1-111111-2-1-111-2-2220000000000-202011-1-10000010-1000
χ352222-2-2-1222-12-12-12-1-211-2-2-1-11111-1-1-122-2211-2-2-1-1221111-1-1-1-11-2-1-11122-2-20000000000-2020-1-1110000010-1000
χ362222-2-2-1222-12-12-12-1-211-2-2-1-11111-1-1-122-2211-2-2-1-1221111-1-1-1-11-2-1-111-2-222000000000020-2011-1-100000-101000
χ372-2-222-22200-2-2-2-222202-22-22-222-2-2-200000000000000000000000000002−22−22−22−2002-22-200002−22−22−22−20000000
χ382-2-222-22200-2-2-2-222202-22-22-222-2-2-200000000000000000000000000002−22−2−22−2200-22-2200002−22−2−22−220000000
χ392-2-222-22200-2-2-2-222202-22-22-222-2-2-20000000000000000000000000000−22−222−22−200-22-220000−22−222−22−20000000
χ402-2-222-22200-2-2-2-222202-22-22-222-2-2-20000000000000000000000000000−22−22−22−22002-22-20000−22−22−22−220000000
χ412-2-22-222200-2-2-2-22220-22-222-2-2-222-200000000000000000000000000002−2−222−2−22002-2-2200002−2−222−2−220000000
χ422-2-22-222200-2-2-2-22220-22-222-2-2-222-200000000000000000000000000002−2−22−222−200-222-200002−2−22−222−20000000
χ432-2-22-222200-2-2-2-22220-22-222-2-2-222-20000000000000000000000000000−222−22−2−2200-222-20000−222−22−2−220000000
χ442-2-22-222200-2-2-2-22220-22-222-2-2-222-20000000000000000000000000000−222−2−222−2002-2-220000−222−2−222−20000000
χ454444444-2-4-44-24-24-2-2-444-2-2-2-2-2-2-2-2-2-4-422000000000000000000-422222000000000000000000000000000000000
χ46444444-24-4-4-24-24-24-2-4-2-244-2-2-2-2-2-2-222-4-40000000000000000002-42222000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-211111111-2-21111000000000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2-2-21111111-2-2-2-2-4-422222222-1-1-1-1-1-1-1-1-2-21111000000000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211111112222000000000033-3-333-3-322-1-1-1-1000000000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111111122220000000000-3-333-3-33322-1-1-1-1000000000000000000000000000000000
χ514444-4-44-2-4-44-24-24-2-24-4-422-2-22222-2-4-4220000000000000000004-222-2-2000000000000000000000000000000000
χ524444-4-4-24-4-4-24-24-24-2422-4-4-2-22222-222-4-4000000000000000000-2422-2-2000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-4222211-1-1-1-11-2-2-2-24-4-2-2-2-222221111-1-1-1-12211-1-1000000000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-4222211-1-1-1-11-2-2-2-2-442222-2-2-2-2-1-1-1-111112211-1-1000000000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-214222211-1-1-1-112222000000000033-3-3-3-333-2-2-1-111000000000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-214222211-1-1-1-1122220000000000-3-33333-3-3-2-2-1-111000000000000000000000000000000000
χ5744-4-400444-4-4-444-4-4400000-4-4000044-44-4000000000000000000004-400000000000000000000000000000000000
χ5844-4-40044-44-4-444-4-4400000-4-400004-44-4400000000000000000000-4400000000000000000000000000000000000
χ5944-4-4004-24-4-424-2-42-200000220000-24-4-2200000000−2i32i30000−2i32i3−2i32i300-2200000000000000000000000000000000000
χ6044-4-4004-24-4-424-2-42-200000220000-24-4-22000000002i3−2i300002i3−2i32i3−2i300-2200000000000000000000000000000000000
χ6144-4-4004-2-44-424-2-42-200000220000-2-442-20000−2i32i30000−2i32i3−2i32i30000002-200000000000000000000000000000000000
χ6244-4-4004-2-44-424-2-42-200000220000-2-442-200002i3−2i300002i3−2i32i3−2i30000002-200000000000000000000000000000000000
χ6344-4-400-244-42-4-242-4-200000220000-2-224-400−2i32i3000000−2i32i32i3−2i3000000-2200000000000000000000000000000000000
χ6444-4-400-244-42-4-242-4-200000220000-2-224-4002i3−2i30000002i3−2i3−2i32i3000000-2200000000000000000000000000000000000
χ6544-4-400-24-442-4-242-4-200000220000-22-2-44000000−2i32i3000000−2i32i32i3−2i3002-200000000000000000000000000000000000
χ6644-4-400-24-442-4-242-4-200000220000-22-2-440000002i3−2i30000002i3−2i3−2i32i3002-200000000000000000000000000000000000
χ6744-4-400-2-24-422-2-222100000-1-13-33-31-22-2200−2i32i30000−2i32i3i3−i3−i3i3i3−i3i3−i3001-13-3000000000000000000000000000000000
χ6844-4-400-2-24-422-2-222100000-1-13-33-31-22-22002i3−2i300002i3−2i3−i3i3i3−i3−i3i3−i3i3001-13-3000000000000000000000000000000000
χ6944-4-400-2-24-422-2-222100000-1-1-33-331-22-2200−2i32i300002i3−2i3i3−i3−i3i3−i3i3−i3i3001-1-33000000000000000000000000000000000
χ7044-4-400-2-24-422-2-222100000-1-1-33-331-22-22002i3−2i30000−2i32i3−i3i3i3−i3i3−i3i3−i3001-1-33000000000000000000000000000000000
χ7144-4-400-2-2-4422-2-222100000-1-13-33-312-22-20000−2i32i3−2i32i300i3−i3i3−i3i3−i3−i3i300-11-33000000000000000000000000000000000
χ7244-4-400-2-2-4422-2-222100000-1-13-33-312-22-200002i3−2i32i3−2i300−i3i3−i3i3−i3i3i3−i300-11-33000000000000000000000000000000000
χ7344-4-400-2-2-4422-2-222100000-1-1-33-3312-22-20000−2i32i32i3−2i300i3−i3i3−i3−i3i3i3−i300-113-3000000000000000000000000000000000
χ7444-4-400-2-2-4422-2-222100000-1-1-33-3312-22-200002i3−2i3−2i32i300−i3i3−i3i3i3−i3−i3i300-113-3000000000000000000000000000000000
χ754-44-400440044-4-4-4-4400000-440000-40000000000000000000000000000000000004-400000000000000000000000
χ764-44-400440044-4-4-4-4400000-440000-4000000000000000000000000000000000000-4400000000000000000000000
χ774-4-444-44-200-42-424-2-204-4-22-22-2-22220000000000000000000000000000000022−2222−2200000000000000−22−220000000
χ784-4-444-44-200-42-424-2-204-4-22-22-2-222200000000000000000000000000000000−2222−2222000000000000002−22−20000000
χ794-4-444-4-24002-42-4-24-20-224-4-22-2-2222000000000000000000000000000022−2222−2200000000000000−22−2200000000000
χ804-4-444-4-24002-42-4-24-20-224-4-22-2-22220000000000000000000000000000−2222−2222000000000000002−22−200000000000
χ814-4-44-444-200-42-424-2-20-442-2-2222-2-220000000000000000000000000000000022−22−222200000000000000−222−20000000
χ824-4-44-444-200-42-424-2-20-442-2-2222-2-2200000000000000000000000000000000−222222−22000000000000002−2−220000000
χ834-4-44-44-24002-42-4-24-202-2-44-2222-2-22000000000000000000000000000022−22−222200000000000000−222−200000000000
χ844-4-44-44-24002-42-4-24-202-2-44-2222-2-220000000000000000000000000000−222222−22000000000000002−2−2200000000000
χ858-88-8008-4008-4-84-84-4000004-4000040000000000000000000000000000000000000000000000000000000000000
χ868-88-800-4800-484-84-8-4000004-4000040000000000000000000000000000000000000000000000000000000000000
χ878-88-800-4-400-4-44444200000-226-6-66-20000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4-400-4-44444200000-22-666-6-20000000000000000000000000000000000000000000000000000000000000
χ898-8-888-8-4-4004444-4-420-44-442-222-2-2-20000000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-4004444-4-4204-44-42-2-2-222-20000000000000000000000000000000000000000000000000000000000000

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