Finite Group Databasebeta

← Group #11882324

Character table — Group #11882324

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order12222233444466666636666666666688881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444222444444488886661212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-11-1-1-1-1-1-11-1-1111-1-1
χ5111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11-1111-1-1-1-111-11-1-11-1
χ6111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-11-111-1-1-1-1-1-11-111-11
χ7111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-11-1-1111-1
χ8111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111-111-1-1-11
χ91111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1111-1-1111-11-1-1-1
χ101111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1111-1111-1-1-1-1-11-1111
χ111111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-111-1111-11-1-1
χ121111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-11-1-1-1111-1-1-11-111
χ131111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-111-1-11-1-11-1-11111-1-1-11-11
χ141111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-11-1-111-11-11-1-111-1-1111-11-1
χ151111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-1-11-1111-111-1-1-11-111-1-11
χ161111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1111-11-1-11-111-1-11-11-1-111-1
χ1722222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2000000002-2000000000000
χ1822222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22200000000-22000000000000
χ192222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220002200000000-1-1000-1-1
χ202222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000-2-2000000001100011
χ212222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111100002-20002-200000000-11000-11
χ222222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-22000-22000000001-10001-1
χ23222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000222002000000-100-1-1-100
χ24222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-200-200000010011100
χ25222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000002-2-2002000000-100-11100
χ26222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000-22200-20000001001-1-100
χ272222-2-222-222-22222222-2-2-2-222-2-2-2-220000-222-222-2-22222-2-2-2-200000000000000000000000000000000222200000000-2-2000000000000
χ282222-2-222-222-22222222-2-2-2-222-2-2-2-220000-222-222-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-20000000022000000000000
χ292222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-122-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000022000-2-200000000-1-100011
χ302222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-122-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2000220000000011000-1-1
χ312222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-1-2-222-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002-2000-2200000000-110001-1
χ322222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-1-2-222-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-220002-2000000001-1000-11
χ332222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000002-2200-2000000-1001-1100
χ342222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000-22-2002000000100-11-100
χ352222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000022-200-2000000-10011-100
χ362222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-22002000000100-1-1100
χ372-22-2002202i−2i02-22-2-2-2200002-20000-22−2−i2i202i−2i02i−2i002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22-22i−2i00000000002−2−i2i200000000
χ382-22-2002202i−2i02-22-2-2-2200002-20000-22−2−i2i202i−2i02i−2i002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-22−2i2i0000000000−22i2−i200000000
χ392-22-2002202i−2i02-22-2-2-2200002-20000-2−22i2−i202i−2i02i−2i002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22-22i−2i0000000000−22i2−i200000000
χ402-22-2002202i−2i02-22-2-2-2200002-20000-2−22i2−i202i−2i02i−2i002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-22−2i2i00000000002−2−i2i200000000
χ412-22-200220−2i2i02-22-2-2-2200002-20000-22−2i2−i20−2i2i0−2i2i00−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2−2i2i00000000002−2i2−i200000000
χ422-22-200220−2i2i02-22-2-2-2200002-20000-22−2i2−i20−2i2i0−2i2i00−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-222i−2i0000000000−22−i2i200000000
χ432-22-200220−2i2i02-22-2-2-2200002-20000-2−22−i2i20−2i2i0−2i2i00−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22-2−2i2i0000000000−22−i2i200000000
χ442-22-200220−2i2i02-22-2-2-2200002-20000-2−22−i2i20−2i2i0−2i2i00−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-222i−2i00000000002−2i2−i200000000
χ454444444-2-4-4-4-4-2-2444-2-244-2-2-2-2-2-2-2-2-20000222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000
χ46444444-24-4-4-4-444-2-2-24-2-2-244-2-2-2-2-2-2-20000-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000
χ47444444-2-24444-2-2-2-2-2-21-2-2-2-211111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ48444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ49444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ50444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ514444-4-44-2-444-4-2-2444-2-2-4-422-2-22222-200002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000
χ524444-4-4-24-444-444-2-2-24-222-4-4-2-22222-20000-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000
χ534444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-1144-4-4-222-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ544444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-4-444-222-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ554444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-1100002-2-22-2-2-1-1111122-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ564444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-1100002-2-22-2-2-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ5744-4-40044400-4-44-4-44-440000-4-4000040000400400440000-4-4-4-40000000000000000000000000000000000000000000000000000000000
χ5844-4-40044-4004-44-4-44-440000-4-4000040000-400-400-4-4000044440000000000000000000000000000000000000000000000000000000000
χ5944-4-4004-2400-42-2-4-442-20000220000-20000-200400-2-200002-4220000000000000000000023−2323−2323−2323−2323−2323−2300000000000000000000000000
χ6044-4-4004-2400-42-2-4-442-20000220000-20000-200400-2-200002-42200000000000000000000−2323−2323−2323−2323−2323−232300000000000000000000000000
χ6144-4-4004-2-40042-2-4-442-20000220000-20000200-400220000-24-2-20000−2i32i3−2i32i3−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000
χ6244-4-4004-2-40042-2-4-442-20000220000-20000200-400220000-24-2-200002i3−2i32i3−2i32i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000
χ6344-4-400-24400-4-4422-2-4-20000220000-20000400-200-2-20000-422223−2323−23000023−23−232323−23−2323000000000000000000000000000000000000000000
χ6444-4-400-24400-4-4422-2-4-20000220000-20000400-200-2-20000-4222−2323−23230000−232323−23−232323−23000000000000000000000000000000000000000000
χ6544-4-400-24-4004-4422-2-4-20000220000-20000-4002002200004-2-2-20000000000000000−2i32i3−2i32i30000−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000
χ6644-4-400-24-4004-4422-2-4-20000220000-20000-4002002200004-2-2-200000000000000002i3−2i32i3−2i300002i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000
χ6744-4-400-2-2400-42-222-2210000-1-133-3-310000-200-200113-33-322-1-123−2323−230000−333−3−333−3000023−2323−23−33−33−33−3300000000000000000000000000
χ6844-4-400-2-2400-42-222-2210000-1-133-3-310000-200-200113-33-322-1-1−2323−232300003−3−333−3−330000−2323−23233−33−33−33−300000000000000000000000000
χ6944-4-400-2-2400-42-222-2210000-1-1-3-33310000-200-20011-33-3322-1-123−2323−230000−333−3−333−30000−2323−23233−33−33−33−300000000000000000000000000
χ7044-4-400-2-2400-42-222-2210000-1-1-3-33310000-200-20011-33-3322-1-1−2323−232300003−3−333−3−33000023−2323−23−33−33−33−3300000000000000000000000000
χ7144-4-400-2-2-40042-222-2210000-1-133-3-310000200200-1-1-33-33-2-2110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i30000i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ7244-4-400-2-2-40042-222-2210000-1-133-3-310000200200-1-1-33-33-2-21100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i30000−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ7344-4-400-2-2-40042-222-2210000-1-1-3-33310000200200-1-13-33-3-2-2110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i32i3−2i32i3−2i30000−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ7444-4-400-2-2-40042-222-2210000-1-1-3-33310000200200-1-13-33-3-2-21100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3−2i32i3−2i32i30000i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ754-44-4004-204i−4i0-224-4-42-20000-220000222−22−2i22i20−2i2i04i−4i00−2i−2i2i2i00002222−22−22−2−222−2−2−2−22222−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ764-44-4004-204i−4i0-224-4-42-20000-2200002−22222i2−2i20−2i2i04i−4i00−2i−2i2i2i0000−22−22222222−2−22222−2−2−2−22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ774-44-4004-20−4i4i0-224-4-42-20000-220000222−222i2−2i202i−2i0−4i4i002i2i−2i−2i00002222−22−22−2−222−2−2−2−222222i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ784-44-4004-20−4i4i0-224-4-42-20000-2200002−2222−2i22i202i−2i0−4i4i002i2i−2i−2i0000−22−22222222−2−22222−2−2−2−2−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.