Finite Group Databasebeta

← Group #11797925

Character table — Group #11797925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444888888888888888121212121212121216161616161624242424242424242424242424242424484872727272
order122334466121236668812121212122424246661212122424242424242444882424242466612121244881212161624242424484848481212441616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11-1-11111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-1
χ911-1111-111-1-11-11-1-11-1-1-111-1-11-111-1-1-1111-111-1-1i−ii−iii−i−i111-1-1-1i−ii−ii−ii−iii−i−iii−i−ii−i1-11-1
χ1011-1111-111-1-11-11-1-11-1-1-111-1-11-111-1-1-1111-111-1-1i−ii−iii−i−i111-1-1-1−iii−ii−i−iiii−i−i−i−iii−ii-11-11
χ1111-1111-111-1-11-11-1-11-1-1-111-1-11-111-1-1-1111-111-1-1−ii−ii−i−iii111-1-1-1i−i−ii−iii−i−i−iiiii−i−ii−i-11-11
χ1211-1111-111-1-11-11-1-11-1-1-111-1-11-111-1-1-1111-111-1-1−ii−ii−i−iii111-1-1-1−ii−ii−ii−ii−i−iii−i−iii−ii1-11-1
χ1311-1111-111-1-11-11-1-11-1-1-111-1-1-11-1-1-111111-111-1-1i−ii−iii−i−i-1-1-1111i−i−iii−i−ii−i−iii−i−iiii−i1-1-11
χ1411-1111-111-1-11-11-1-11-1-1-111-1-1-11-1-1-111111-111-1-1i−ii−iii−i−i-1-1-1111−ii−iii−ii−i−i−iiiii−i−i−ii-111-1
χ1511-1111-111-1-11-11-1-11-1-1-111-1-1-11-1-1-111111-111-1-1−ii−ii−i−iii-1-1-1111i−ii−i−ii−iiii−i−i−i−iiii−i-111-1
χ1611-1111-111-1-11-11-1-11-1-1-111-1-1-11-1-1-111111-111-1-1−ii−ii−i−iii-1-1-1111−iii−i−iii−iii−i−iii−i−i−ii1-1-11
χ17222222222222222-2-222222-2-200002002-2-2-2-2-2-2-222-2-2-2-2-2-20000000000220000000000000000
χ18222222222222222-2-222222-2-200002002-2-2-2-2-2-2-2-2-22222220000000000-2-20000000000000000
χ192222-1222-122-12-1-122-1-1-12-1-1-12222-122-12-12-1-1-1-100000000-1-1-1-1-1-1220000220000-1-1-1-1-1-10000
χ202222-1222-122-12-1-122-1-1-12-1-1-12222-122-12-12-1-1-1-100000000-1-1-1-1-1-1-2-20000-2-200001111110000
χ212222-1222-122-12-1-122-1-1-12-1-1-1-2-2-2-2-1-2-2-12-12-1-1-1-100000000111111220000-2-200001111-1-10000
χ222222-1222-122-12-1-122-1-1-12-1-1-1-2-2-2-2-1-2-2-12-12-1-1-1-100000000111111-2-20000220000-1-1-1-1110000
χ23222-1222-12-1-1-1-1-12222-1-1-122222-1-1-1-1-1-1-12-1-1-1-1-12222-1-1-1-12-1-12-1-10022-1-100-1-1-1-10000000000
χ24222-1222-12-1-1-1-1-12222-1-1-122222-1-1-1-1-1-1-12-1-1-1-1-1-2-2-2-211112-1-12-1-100-2-2110011110000000000
χ25222-1222-12-1-1-1-1-12222-1-1-1222-2-211-111-1-12-1-1-1-1-12222-1-1-1-1-211-21100-2-2-1-10011110000000000
χ26222-1222-12-1-1-1-1-12222-1-1-1222-2-211-111-1-12-1-1-1-1-1-2-2-2-21111-211-21100221100-1-1-1-10000000000
χ27222-1222-12-1-1-1-1-12-2-22-1-1-12-2-200−i3i3-1−i3i3-11-21111122-2-211110−i3i30−i3i30000-1-100−i3i3−i3i30000000000
χ28222-1222-12-1-1-1-1-12-2-22-1-1-12-2-200−i3i3-1−i3i3-11-211111-2-222-1-1-1-10−i3i30−i3i300001100i3−i3i3−i30000000000
χ29222-1222-12-1-1-1-1-12-2-22-1-1-12-2-200i3−i3-1i3−i3-11-21111122-2-211110i3−i30i3−i30000-1-100i3−i3i3−i30000000000
χ30222-1222-12-1-1-1-1-12-2-22-1-1-12-2-200i3−i3-1i3−i3-11-211111-2-222-1-1-1-10i3−i30i3−i300001100−i3i3−i3i30000000000
χ3122-2222-222-2-22-22-22-2-2-2-222220000-2002-2-22-2-2222i−2i−2i2i−2i−2i2i2i00000000002i−2i0000000000000000
χ3222-2222-222-2-22-22-22-2-2-2-222220000-2002-2-22-2-222−2i2i2i−2i2i2i−2i−2i0000000000−2i2i0000000000000000
χ3322-22-12-22-1-2-2-1-2-11-221112-1112-2221-2-2-12-1-2-1-11100000000-1-1-11112i−2i00002i−2i0000−i−iii−ii0000
χ3422-22-12-22-1-2-2-1-2-11-221112-1112-2221-2-2-12-1-2-1-11100000000-1-1-1111−2i2i0000−2i2i0000ii−i−ii−i0000
χ3522-22-12-22-1-2-2-1-2-11-221112-111-22-2-2122-12-1-2-1-11100000000111-1-1-12i−2i0000−2i2i0000ii−i−i−ii0000
χ3622-22-12-22-1-2-2-1-2-11-221112-111-22-2-2122-12-1-2-1-11100000000111-1-1-1−2i2i00002i−2i0000−i−iiii−i0000
χ3722-2-122-2-1211-11-1-22-2-211-122200−i3i31i3−i3-11-2-111-1-12i−2i−2i2iii−i−i0−i3i30i3−i30000−ii003−3−330000000000
χ3822-2-122-2-1211-11-1-22-2-211-122200−i3i31i3−i3-11-2-111-1-1−2i2i2i−2i−i−iii0−i3i30i3−i30000i−i00−333−30000000000
χ3922-2-122-2-1211-11-1-22-2-211-122200i3−i31−i3i3-11-2-111-1-12i−2i−2i2iii−i−i0i3−i30−i3i30000−ii00−333−30000000000
χ4022-2-122-2-1211-11-1-22-2-211-122200i3−i31−i3i3-11-2-111-1-1−2i2i2i−2i−i−iii0i3−i30−i3i30000i−i003−3−330000000000
χ4122-2-122-2-1211-11-1-2-22-211-12-2-22-2-1-1111-1-121-1-1112i−2i2i−2i−i−iii2-1-1-211002i−2i−ii00−i−iii0000000000
χ4222-2-122-2-1211-11-1-2-22-211-12-2-22-2-1-1111-1-121-1-111−2i2i−2i2iii−i−i2-1-1-21100−2i2ii−i00ii−i−i0000000000
χ4322-2-122-2-1211-11-1-2-22-211-12-2-2-22111-1-1-1-121-1-1112i−2i2i−2i−i−iii-2112-1-100−2i2i−ii00ii−i−i0000000000
χ4422-2-122-2-1211-11-1-2-22-211-12-2-2-22111-1-1-1-121-1-111−2i2i−2i2iii−i−i-2112-1-1002i−2ii−i00−i−iii0000000000
χ4544444-4-444-4-4444400-4-4-4-4-4000000400-40000000000000000000000000000000000000000000
χ464444-2444-244-24-2-2-4-4-2-2-24-2220000-200-2-42-42222000000000000000000000000000000000000
χ474444-2-4-44-2-4-4-24-2-200222-42000000-2002000000000000000000000000000000000i6−i6i6−i6000000
χ484444-2-4-44-2-4-4-24-2-200222-42000000-2002000000000000000000000000000000000−i6i6−i6i6000000
χ49444-24-4-4-2422-2-2-2400-4222-4000000-20020000000000023−2323−230000000000000000000000000000
χ50444-24-4-4-2422-2-2-2400-4222-4000000-200200000000000−2323−23230000000000000000000000000000
χ51444-2-244-2-2-2-21-21-244-211-2-2-2-244-2-21-2-21-2-2-2111100000000-211-2110000000000000000000000
χ52444-2-244-2-2-2-21-21-244-211-2-2-2-2-4-4221221-2-2-21111000000002-1-12-1-10000000000000000000000
χ53444-2-244-2-2-2-21-21-2-4-4-211-2-22200−2i32i31−2i32i31222-1-1-1-1000000000i3−i30i3−i30000000000000000000000
χ54444-2-244-2-2-2-21-21-2-4-4-211-2-222002i3−2i312i3−2i31222-1-1-1-1000000000−i3i30−i3i30000000000000000000000
χ5544-444-4444444-44-400444-4-4000000-400-40000000000000000000000000000000000000000000
χ5644-44-24-44-2-4-4-2-4-224-42224-2-2-20000200-2-42422-2-2000000000000000000000000000000000000
χ5744-44-2-444-244-2-4-2200-2-2-2-4200000020020000000000000000000000000000000006−6−66000000
χ5844-44-2-444-244-2-4-2200-2-2-2-420000002002000000000000000000000000000000000−666−6000000
χ5944-4-24-44-24-2-2-22-2-4004-2-22-4000000200200000000000−2i32i32i3−2i30000000000000000000000000000
χ6044-4-24-44-24-2-2-22-2-4004-2-22-40000002002000000000002i3−2i3−2i32i30000000000000000000000000000
χ6144-4-2-24-4-2-22212124-42-1-1-2-2-2-200−2i32i3-12i3−2i3122-2-1-111000000000i3−i30−i3i30000000000000000000000
χ6244-4-2-24-4-2-22212124-42-1-1-2-2-2-2002i3−2i3-1−2i32i3122-2-1-111000000000−i3i30i3−i30000000000000000000000
χ6344-4-2-24-4-2-2221212-442-1-1-2-2224-4-2-2-1221-2-2211-1-100000000-2112-1-10000000000000000000000
χ6444-4-2-24-4-2-2221212-442-1-1-2-222-4422-1-2-21-2-2211-1-1000000002-1-1-2110000000000000000000000
χ65888-4-4-8-8-4-4442-42-4004-2-244000000200-20000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-4-4-4242400-42244000000-200-20000000000000000000000000000000000000000000
χ678-808800-8-80080-80000000000000000000000000000000000000000000000000000000000000
χ688-808-400-8400-4040000000026−26000000000000026−26000000000000000000000000000000000000
χ698-808-400-8400-40400000000−26260000000000000−2626000000000000000000000000000000000000
χ708-80-48004-843−43-404000043−430000000000000000000000000000000000000000000000000000000
χ718-80-48004-8−4343-4040000−43430000000000000000000000000000000000000000000000000000000
χ728-80-4-4004443−4320-20000−23230026−260000000000032−32−66000000000000000000000000000000000000
χ738-80-4-4004443−4320-20000−232300−262600000000000−32326−6000000000000000000000000000000000000
χ748-80-4-40044−434320-2000023−230026−2600000000000−3232−66000000000000000000000000000000000000
χ758-80-4-40044−434320-2000023−2300−26260000000000032−326−6000000000000000000000000000000000000

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