Finite Group Databasebeta

← Group #13181162

Character table — Group #13181162

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222444444488888888899181818181818183636363636363636363636363672721122244444448888888889918181818181818363636363636363636363636367272
order122363366666336666666222444466244461212121212121212612222666666666666666666222444466244461212121212121212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1111-1-1-1-11111-1-1111111111111111111111111-1-1-1-111-1-1111-1-1-1-11111-1-1
χ511-11111-1-1-11111-111-1-1-1-111-111-1-1111-11-1-111-1-111-1-11-111-11111-1-1-11111-111-1-1-1-111-111-1-1111-11-1-111-1-111-1-11-1
χ611-11111-1-1-11111-111-1-1-1-111-111-1-111-11-11-111-1-1-1-111-1111-11111-1-1-11111-111-1-1-1-111-111-1-111-11-11-111-1-1-1-111-11
χ711-11111-1-1-11111-111-1-1-1-111-1-1-111111-1-11-1-1-111-1-1111-111-11111-1-1-11111-111-1-1-1-111-1-1-111111-1-11-1-1-111-1-1111-1
χ811-11111-1-1-11111-111-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1-1111-11111-1-1-11111-111-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1-11
χ9222222222222222222222-2-2-20000-2-20000-20000000000222222222222222222222-2-2-20000-2-20000-20000000000
χ10222-1-122-12222-1-12-1-1-1-1-1-12220000-1-10022-10000-1-1-1-100222-1-122-12222-1-12-1-1-1-1-1-12220000-1-10022-10000-1-1-1-100
χ11222-1-122-12222-1-12-1-1-1-1-1-12220000-1-100-2-2-10000111100222-1-122-12222-1-12-1-1-1-1-1-12220000-1-100-2-2-10000111100
χ12222-1-122-12222-1-12-1-1-1-1-1-1-2-2-20000110000100003−33−300222-1-122-12222-1-12-1-1-1-1-1-1-2-2-20000110000100003−33−300
χ13222-1-122-12222-1-12-1-1-1-1-1-1-2-2-2000011000010000−33−3300222-1-122-12222-1-12-1-1-1-1-1-1-2-2-2000011000010000−33−3300
χ1422-22222-2-2-22222-222-2-2-2-2-2-220000-2-200002000000000022-22222-2-2-22222-222-2-2-2-2-2-220000-2-2000020000000000
χ1522-2-1-1221-2-222-1-1-2-1-1111122-20000-1-1002-210000-1-1110022-2-1-1221-2-222-1-1-2-1-1111122-20000-1-1002-210000-1-11100
χ1622-2-1-1221-2-222-1-1-2-1-1111122-20000-1-100-221000011-1-10022-2-1-1221-2-222-1-1-2-1-1111122-20000-1-100-221000011-1-100
χ1722-2-1-1221-2-222-1-1-2-1-11111-2-220000110000-100003−3−330022-2-1-1221-2-222-1-1-2-1-11111-2-220000110000-100003−3−3300
χ1822-2-1-1221-2-222-1-1-2-1-11111-2-220000110000-10000−333−30022-2-1-1221-2-222-1-1-2-1-11111-2-220000110000-10000−333−300
χ192-202-222000-2-2220-2-200002-20002i−2i2-200000002i−2i0000002-202-222000-2-2220-2-200002-20002i−2i2-200000002i−2i000000
χ202-202-222000-2-2220-2-200002-2000−2i2i2-20000000−2i2i0000002-202-222000-2-2220-2-200002-2000−2i2i2-20000000−2i2i000000
χ212-202-222000-2-2220-2-20000-2202i−2i00-22000002i−2i000000002-202-222000-2-2220-2-20000-2202i−2i00-22000002i−2i00000000
χ222-202-222000-2-2220-2-20000-220−2i2i00-2200000−2i2i000000002-202-222000-2-2220-2-20000-220−2i2i00-2200000−2i2i00000000
χ23444441-2411-211-2-21-211-2-200022220000000-1-1-1-1000000444441-2411-211-2-21-211-2-200022220000000-1-1-1-1000000
χ24444441-2411-211-2-21-211-2-2000-2-2-2-200000001111000000444441-2411-211-2-21-211-2-2000-2-2-2-200000001111000000
χ2544444-214-2-21-2-211-21-2-2110000000002200000000000-1-144444-214-2-21-2-211-21-2-2110000000002200000000000-1-1
χ2644444-214-2-21-2-211-21-2-211000000000-2-2000000000001144444-214-2-21-2-211-21-2-211000000000-2-20000000000011
χ2744-4441-2-4-1-1-211-221-2-1-12200022-2-20000000-1-11100000044-4441-2-4-1-1-211-221-2-1-12200022-2-20000000-1-111000000
χ2844-4441-2-4-1-1-211-221-2-1-122000-2-222000000011-1-100000044-4441-2-4-1-1-211-221-2-1-122000-2-222000000011-1-1000000
χ2944-444-21-4221-2-21-1-2122-1-10000000002-200000000000-1144-444-21-4221-2-21-1-2122-1-10000000002-200000000000-11
χ3044-444-21-4221-2-21-1-2122-1-1000000000-22000000000001-144-444-21-4221-2-21-1-2122-1-1000000000-22000000000001-1
χ314-404-41-203-32-11-20-123-3000002i−2i2i−2i0000000−ii−ii0000004-404-41-203-32-11-20-123-3000002i−2i2i−2i0000000−ii−ii000000
χ324-404-41-203-32-11-20-123-300000−2i2i−2i2i0000000i−ii−i0000004-404-41-203-32-11-20-123-300000−2i2i−2i2i0000000i−ii−i000000
χ334-404-41-20-332-11-20-12-33000002i−2i−2i2i0000000−iii−i0000004-404-41-20-332-11-20-12-33000002i−2i−2i2i0000000−iii−i000000
χ344-404-41-20-332-11-20-12-3300000−2i2i2i−2i0000000i−i−ii0000004-404-41-20-332-11-20-12-3300000−2i2i2i−2i0000000i−i−ii000000
χ354-40-2244000-4-4-2-202200004-400000-220000000000000004-40-2244000-4-4-2-202200004-400000-22000000000000000
χ364-40-2244000-4-4-2-20220000-44000002-20000000000000004-40-2244000-4-4-2-20220000-44000002-2000000000000000
χ37888-4-42-4-422-42-12-4-12-1-122000000000000000000000000888-4-42-4-422-42-12-4-12-1-122000000000000000000000000
χ38888-4-4-42-4-4-42-42-122-122-1-1000000000000000000000000888-4-4-42-4-4-42-42-122-122-1-1000000000000000000000000
χ3988-8-4-42-44-2-2-42-124-1211-2-200000000000000000000000088-8-4-42-44-2-2-42-124-1211-2-2000000000000000000000000
χ4088-8-4-4-424442-42-1-22-1-2-21100000000000000000000000088-8-4-4-424442-42-1-22-1-2-211000000000000000000000000
χ418-808-8-42000-24-4204-200000000000000000000000000008-808-8-42000-24-4204-20000000000000000000000000000
χ428-80-442-406-64-2-1201-2-33000000000000000000000000008-80-442-406-64-2-1201-2-3300000000000000000000000000
χ438-80-442-40-664-2-1201-23-3000000000000000000000000008-80-442-40-664-2-1201-23-300000000000000000000000000
χ448-80-44-42000-242-10-2100−3i33i30000000000000000000000008-80-44-42000-242-10-2100−3i33i3000000000000000000000000
χ458-80-44-42000-242-10-21003i3−3i30000000000000000000000008-80-44-42000-242-10-21003i3−3i3000000000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111
χ48111111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111111111-1-1
χ49111111111111111111111111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-1-1-111
χ5011-11111-1-1-11111-111-1-1-1-111-111-1-1111-11-1-111-1-111-1-11-1-1-11-1-1-1-1111-1-1-1-11-1-11111-1-11-1-111-1-1-11-111-1-111-1-111-11
χ5111-11111-1-1-11111-111-1-1-1-111-111-1-111-11-11-111-1-1-1-111-11-1-11-1-1-1-1111-1-1-1-11-1-11111-1-11-1-111-1-11-11-11-1-11111-1-11-1
χ5211-11111-1-1-11111-111-1-1-1-111-1-1-111111-1-11-1-1-111-1-1111-1-1-11-1-1-1-1111-1-1-1-11-1-11111-1-1111-1-1-1-1-111-1111-1-111-1-1-11
χ5311-11111-1-1-11111-111-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1-11-1-11-1-1-1-1111-1-1-1-11-1-11111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1
χ54222222222222222222222-2-2-20000-2-20000-20000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222000022000020000000000
χ55222-1-122-12222-1-12-1-1-1-1-1-12220000-1-10022-10000-1-1-1-100-2-2-211-2-21-2-2-2-211-2111111-2-2-200001100-2-210000111100
χ56222-1-122-12222-1-12-1-1-1-1-1-12220000-1-100-2-2-10000111100-2-2-211-2-21-2-2-2-211-2111111-2-2-2000011002210000-1-1-1-100
χ57222-1-122-12222-1-12-1-1-1-1-1-1-2-2-20000110000100003−33−300-2-2-211-2-21-2-2-2-211-21111112220000-1-10000-10000−33−3300
χ58222-1-122-12222-1-12-1-1-1-1-1-1-2-2-2000011000010000−33−3300-2-2-211-2-21-2-2-2-211-21111112220000-1-10000-100003−33−300
χ5922-22222-2-2-22222-222-2-2-2-2-2-220000-2-2000020000000000-2-22-2-2-2-2222-2-2-2-22-2-2222222-20000220000-20000000000
χ6022-2-1-1221-2-222-1-1-2-1-1111122-20000-1-1002-210000-1-11100-2-2211-2-2-122-2-211211-1-1-1-1-2-2200001100-22-1000011-1-100
χ6122-2-1-1221-2-222-1-1-2-1-1111122-20000-1-100-221000011-1-100-2-2211-2-2-122-2-211211-1-1-1-1-2-22000011002-2-10000-1-11100
χ6222-2-1-1221-2-222-1-1-2-1-11111-2-220000110000-100003−3−3300-2-2211-2-2-122-2-211211-1-1-1-122-20000-1-1000010000−333−300
χ6322-2-1-1221-2-222-1-1-2-1-11111-2-220000110000-10000−333−300-2-2211-2-2-122-2-211211-1-1-1-122-20000-1-10000100003−3−3300
χ642-202-222000-2-2220-2-200002-20002i−2i2-200000002i−2i000000-220-22-2-200022-2-20220000-22000−2i2i-220000000−2i2i000000
χ652-202-222000-2-2220-2-200002-2000−2i2i2-20000000−2i2i000000-220-22-2-200022-2-20220000-220002i−2i-2200000002i−2i000000
χ662-202-222000-2-2220-2-20000-2202i−2i00-22000002i−2i00000000-220-22-2-200022-2-202200002-20−2i2i002-200000−2i2i00000000
χ672-202-222000-2-2220-2-20000-220−2i2i00-2200000−2i2i00000000-220-22-2-200022-2-202200002-202i−2i002-2000002i−2i00000000
χ68444441-2411-211-2-21-211-2-200022220000000-1-1-1-1000000-4-4-4-4-4-12-4-1-12-1-122-12-1-122000-2-2-2-200000001111000000
χ69444441-2411-211-2-21-211-2-2000-2-2-2-200000001111000000-4-4-4-4-4-12-4-1-12-1-122-12-1-12200022220000000-1-1-1-1000000
χ7044444-214-2-21-2-211-21-2-2110000000002200000000000-1-1-4-4-4-4-42-1-422-122-1-12-122-1-1000000000-2-20000000000011
χ7144444-214-2-21-2-211-21-2-211000000000-2-20000000000011-4-4-4-4-42-1-422-122-1-12-122-1-10000000002200000000000-1-1
χ7244-4441-2-4-1-1-211-221-2-1-12200022-2-20000000-1-111000000-4-44-4-4-124112-1-12-2-1211-2-2000-2-222000000011-1-1000000
χ7344-4441-2-4-1-1-211-221-2-1-122000-2-222000000011-1-1000000-4-44-4-4-124112-1-12-2-1211-2-200022-2-20000000-1-111000000
χ7444-444-21-4221-2-21-1-2122-1-10000000002-200000000000-11-4-44-4-42-14-2-2-122-112-1-2-211000000000-22000000000001-1
χ7544-444-21-4221-2-21-1-2122-1-1000000000-22000000000001-1-4-44-4-42-14-2-2-122-112-1-2-2110000000002-200000000000-11
χ764-404-41-203-32-11-20-123-3000002i−2i2i−2i0000000−ii−ii000000-440-44-120-33-21-1201-2-3300000−2i2i−2i2i0000000i−ii−i000000
χ774-404-41-203-32-11-20-123-300000−2i2i−2i2i0000000i−ii−i000000-440-44-120-33-21-1201-2-33000002i−2i2i−2i0000000−ii−ii000000
χ784-404-41-20-332-11-20-12-33000002i−2i−2i2i0000000−iii−i000000-440-44-1203-3-21-1201-23-300000−2i2i2i−2i0000000i−i−ii000000
χ794-404-41-20-332-11-20-12-3300000−2i2i2i−2i0000000i−i−ii000000-440-44-1203-3-21-1201-23-3000002i−2i−2i2i0000000−iii−i000000
χ804-40-2244000-4-4-2-202200004-400000-22000000000000000-4402-2-4-400044220-2-20000-44000002-2000000000000000
χ814-40-2244000-4-4-2-20220000-44000002-2000000000000000-4402-2-4-400044220-2-200004-400000-22000000000000000
χ82888-4-42-4-422-42-12-4-12-1-122000000000000000000000000-8-8-844-244-2-24-21-241-211-2-2000000000000000000000000
χ83888-4-4-42-4-4-42-42-122-122-1-1000000000000000000000000-8-8-8444-2444-24-21-2-21-2-211000000000000000000000000
χ8488-8-4-42-44-2-2-42-124-1211-2-2000000000000000000000000-8-8844-24-4224-21-2-41-2-1-122000000000000000000000000
χ8588-8-4-4-424442-42-1-22-1-2-211000000000000000000000000-8-88444-2-4-4-4-24-212-2122-1-1000000000000000000000000
χ868-808-8-42000-24-4204-20000000000000000000000000000-880-884-20002-44-20-420000000000000000000000000000
χ878-80-442-406-64-2-1201-2-3300000000000000000000000000-8804-4-240-66-421-20-123-300000000000000000000000000
χ888-80-442-40-664-2-1201-23-300000000000000000000000000-8804-4-2406-6-421-20-12-3300000000000000000000000000
χ898-80-44-42000-242-10-2100−3i33i3000000000000000000000000-8804-44-20002-4-2102-1003i3−3i3000000000000000000000000
χ908-80-44-42000-242-10-21003i3−3i3000000000000000000000000-8804-44-20002-4-2102-100−3i33i3000000000000000000000000

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