Finite Group Databasebeta

← Group #11796377

Character table — Group #11796377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222224444444444488888888888888888991616161616161824242424242424243636363636484848484848484872
order122336622344466666466661212121212121212121212124466121212124444444442444412121212121212122
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111111111111-1-1111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ411111111111111111111111111111111111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1
χ511111111111-1-111111-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1111-1-111-1-111-1-1-1
χ611111111111-1-111111-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-111111-1-1-1-111-1-111-1
χ711111111111-1-111111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-1111
χ811111111111-1-111111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-11
χ91111111-1-1111111111-1-1-1-1-111111111111111-1-1-1-1-1-11i−ii−ii−ii−i1-1-111i−ii−ii−ii−i-1
χ101111111-1-1111111111-1-1-1-1-111111111111111-1-1-1-1-1-11−ii−ii−ii−ii1-1-111−ii−ii−ii−ii-1
χ111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1i−ii−i−ii−ii-111-1-1i−ii−i−ii−ii1
χ121111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−ii−iii−ii−i-111-1-1−ii−iii−ii−i1
χ131111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111i−i−iii−i−ii1-1-1-1-1i−i−iii−i−ii1
χ141111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111−iii−i−iii−i1-1-1-1-1−iii−i−iii−i1
χ151111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1i−i−ii−iii−i-11111i−i−ii−iii−i-1
χ161111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1−iii−ii−i−ii-11111−iii−ii−i−ii-1
χ1722222222-22-20022222022-2-2-2-200000000-2-2222-20000200000000-22-200000000000
χ1822222222-22-20022222022-2-2-2-200000000-2-2-2-22-20000-2000000002-2200000000000
χ192222222-222-200222220-2-222-2-200000000-2-222-220000200000000-2-2200000000000
χ202222222-222-200222220-2-222-2-200000000-2-2-2-2-220000-20000000022-200000000000
χ212222-12-122-12222-1-1-1-122-12-12-122-1-1-1-1-1-1-1-100-1-12-1-1-1000002222000000000-1-1-1-10
χ222222-12-122-12222-1-1-1-122-12-12-122-1-1-1-1-1-1-1-100-1-12-1-1-100000-2-2-2-200000000011110
χ232222-12-122-12-2-22-1-1-1-1-22-12-12-1-2-2111111-1-100-1-1-21110000022-2-2000000000-1-1110
χ242222-12-122-12-2-22-1-1-1-1-22-12-12-1-2-2111111-1-100-1-1-211100000-2-22200000000011-1-10
χ252222-12-1-2-2-12222-1-1-1-1-2-21-212-122-1-1-1-1-1-1-1-10011-2111000002i−2i2i−2i000000000−ii−ii0
χ262222-12-1-2-2-12222-1-1-1-1-2-21-212-122-1-1-1-1-1-1-1-10011-211100000−2i2i−2i2i000000000i−ii−i0
χ272222-12-1-2-2-12-2-22-1-1-1-12-21-212-1-2-2111111-1-100112-1-1-1000002i−2i−2i2i000000000−iii−i0
χ282222-12-1-2-2-12-2-22-1-1-1-12-21-212-1-2-2111111-1-100112-1-1-100000−2i2i2i−2i000000000i−i−ii0
χ29222-12-1222-1222-12-1-1-12-12-12-12-1-122-1-1-1-1-1-100-1-1-12-1-102222000000000-1-1-1-100000
χ30222-12-1222-1222-12-1-1-12-12-12-12-1-122-1-1-1-1-1-100-1-1-12-1-10-2-2-2-2000000000111100000
χ31222-12-1222-12-2-2-12-1-1-1-2-12-12-1211-2-21111-1-100-1-11-211022-2-2000000000-1-11100000
χ32222-12-1222-12-2-2-12-1-1-1-2-12-12-1211-2-21111-1-100-1-11-2110-2-22200000000011-1-100000
χ33222-12-12-2-2-1222-12-1-1-1-21-21-2-12-1-122-1-1-1-1-1-100111-21102i−2i2i−2i000000000−ii−ii00000
χ34222-12-12-2-2-1222-12-1-1-1-21-21-2-12-1-122-1-1-1-1-1-100111-2110−2i2i−2i2i000000000i−ii−i00000
χ35222-12-12-2-2-12-2-2-12-1-1-121-21-2-1211-2-21111-1-10011-12-1-102i−2i−2i2i000000000−iii−i00000
χ36222-12-12-2-2-12-2-2-12-1-1-121-21-2-1211-2-21111-1-10011-12-1-10−2i2i2i−2i000000000i−i−ii00000
χ374444-24-24-4-2-4004-2-2-2-204-2-42-42000000002200-22000000000000000000000000000
χ384444-24-2-44-2-4004-2-2-2-20-424-2-420000000022002-2000000000000000000000000000
χ39444-24-244-4-2-400-24-2-2-20-242-42-4000000002200-22000000000000000000000000000
χ40444-24-24-44-2-400-24-2-2-202-4-242-40000000022002-2000000000000000000000000000
χ41444-2-2-2-2441444-2-21114-2-2-2-2-2-2-2-2-2-21111110011-2-21100000000000000000000000
χ42444-2-2-2-24414-4-4-2-2111-4-2-2-2-2-2-22222-1-1-1-111001122-1-100000000000000000000000
χ43444-2-2-2-24-41-400-2-21110-2-22222000033-3-3-1-1001-1003-300000000000000000000000
χ44444-2-2-2-24-41-400-2-21110-2-222220000-3-333-1-1001-100-3300000000000000000000000
χ45444-2-2-2-2-441-400-2-2111022-2-222000033-3-3-1-100-1100-3300000000000000000000000
χ46444-2-2-2-2-441-400-2-2111022-2-2220000-3-333-1-100-11003-300000000000000000000000
χ47444-2-2-2-2-4-41444-2-2111-42222-2-2-2-2-2-211111100-1-122-1-100000000000000000000000
χ48444-2-2-2-2-4-414-4-4-2-211142222-2-22222-1-1-1-11100-1-1-2-21100000000000000000000000
χ4944-44444004000-4-4-4-440000000000000000044000000-40000000000000000000000
χ5044-44444004000-4-4-4-4400000000000000000-4-400000040000000000000000000000
χ514-4044-4-400402i−2i0000-400000002i−2i2i−2i2i−2i2i−2i004i−4i0000000000000000002-2000000000
χ524-4044-4-400402i−2i0000-400000002i−2i2i−2i2i−2i2i−2i00−4i4i000000000000000000-22000000000
χ534-4044-4-40040−2i2i0000-40000000−2i2i−2i2i−2i2i−2i2i004i−4i000000000000000000-22000000000
χ544-4044-4-40040−2i2i0000-40000000−2i2i−2i2i−2i2i−2i2i00−4i4i0000000000000000002-2000000000
χ5588-88-48-400-4000-8444-4000000000000000000000000000000000000000000000000
χ5688-8-48-4800-40004-844-4000000000000000000000000000000000000000000000000
χ5788-8-4-4-4-400200044-2-220000000000000006-60000000000000000000000000000000
χ5888-8-4-4-4-400200044-2-22000000000000000-660000000000000000000000000000000
χ598-808-4-8400-404i−4i0000400000004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000
χ608-808-4-8400-40−4i4i000040000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000
χ618-80-484-800-404i−4i000040000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000000000
χ628-80-484-800-40−4i4i0000400000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000
χ638-80-4-44400204i−4i006-6-20000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000
χ648-80-4-44400204i−4i00-66-20000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000
χ658-80-4-4440020−4i4i006-6-200000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000
χ668-80-4-4440020−4i4i00-66-200000002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000

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