Finite Group Databasebeta

← Group #11797923

Character table — Group #11797923

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
χ911-1111-111-1-11-1-111-1-1-1-111111-111-1-1-111-1-111-1-1i−ii−iii−i−i111-1-1-11-1i−ii−i1-1ii−i−i11-1-11-1i−ii−i
χ1011-1111-111-1-11-1-111-1-1-1-111111-111-1-1-111-1-111-1-1i−ii−iii−i−i111-1-1-1-11i−ii−i-11ii−i−i-1-111-11−ii−ii
χ1111-1111-111-1-11-1-111-1-1-1-111111-111-1-1-111-1-111-1-1−ii−ii−i−iii111-1-1-11-1−ii−ii1-1−i−iii11-1-11-1−ii−ii
χ1211-1111-111-1-11-1-111-1-1-1-111111-111-1-1-111-1-111-1-1−ii−ii−i−iii111-1-1-1-11−ii−ii-11−i−iii-1-111-11i−ii−i
χ1311-1111-111-1-11-1-111-1-1-1-11111-11-1-1-11111-1-111-1-1i−ii−iii−i−i-1-1-11111-1−iii−i-11−i−iii-1-1111-1i−i−ii
χ1411-1111-111-1-11-1-111-1-1-1-11111-11-1-1-11111-1-111-1-1i−ii−iii−i−i-1-1-1111-11−iii−i1-1−i−iii11-1-1-11−iii−i
χ1511-1111-111-1-11-1-111-1-1-1-11111-11-1-1-11111-1-111-1-1−ii−ii−i−iii-1-1-11111-1i−i−ii-11ii−i−i-1-1111-1−iii−i
χ1611-1111-111-1-11-1-111-1-1-1-11111-11-1-1-11111-1-111-1-1−ii−ii−i−iii-1-1-1111-11i−i−ii1-1ii−i−i11-1-1-11i−i−ii
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
χ192222-1222-122-1-12-122-1-1-12-1-1-12222-122-122-1-1-1-1-100000000-1-1-1-1-1-1220000220000-1-1-1-1-1-10000
χ202222-1222-122-1-12-122-1-1-12-1-1-12222-122-122-1-1-1-1-100000000-1-1-1-1-1-1-2-20000-2-200001111110000
χ212222-1222-122-1-12-122-1-1-12-1-1-1-2-2-2-2-1-2-2-122-1-1-1-1-100000000111111220000-2-200001111-1-10000
χ222222-1222-122-1-12-122-1-1-12-1-1-1-2-2-2-2-1-2-2-122-1-1-1-1-100000000111111-2-20000220000-1-1-1-1110000
χ23222-1222-12-1-1-12-1-1222-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-12-1-12-1-10022-1-100-1-1-1-10000000000
χ24222-1222-12-1-1-12-1-1222-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211112-1-12-1-100-2-2110011110000000000
χ25222-1222-12-1-1-12-1-1222-1-1-1222-2-211-111-1-1-12-1-1-1-12222-1-1-1-1-211-21100-2-2-1-10011110000000000
χ26222-1222-12-1-1-12-1-1222-1-1-1222-2-211-111-1-1-12-1-1-1-1-2-2-2-21111-211-21100221100-1-1-1-10000000000
χ27222-1222-12-1-1-12-1-1-2-22-1-1-12-2-200−i3i3-1−i3i3-111-2111122-2-211110−i3i30−i3i30000-1-100−i3i3−i3i30000000000
χ28222-1222-12-1-1-12-1-1-2-22-1-1-12-2-200−i3i3-1−i3i3-111-21111-2-222-1-1-1-10−i3i30−i3i300001100i3−i3i3−i30000000000
χ29222-1222-12-1-1-12-1-1-2-22-1-1-12-2-200i3−i3-1i3−i3-111-2111122-2-211110i3−i30i3−i30000-1-100i3−i3i3−i30000000000
χ30222-1222-12-1-1-12-1-1-2-22-1-1-12-2-200i3−i3-1i3−i3-111-21111-2-222-1-1-1-10i3−i30i3−i300001100−i3i3−i3i30000000000
χ3122-2222-222-2-22-2-22-22-2-2-222-2-20000-2002-222-2-2222i−2i−2i2i−2i−2i2i2i00000000002i−2i0000000000000000
χ3222-2222-222-2-22-2-22-22-2-2-222-2-20000-2002-222-2-222−2i2i2i−2i2i2i−2i−2i0000000000−2i2i0000000000000000
χ3322-22-12-22-1-2-2-11-2-12-21112-1-1-12-2221-2-2-12-21-1-11100000000-1-1-11112-200002-20000-1-111-110000
χ3422-22-12-22-1-2-2-11-2-12-21112-1-1-12-2221-2-2-12-21-1-11100000000-1-1-1111-220000-22000011-1-11-10000
χ3522-22-12-22-1-2-2-11-2-12-21112-1-1-1-22-2-2122-12-21-1-11100000000111-1-1-12-20000-22000011-1-1-110000
χ3622-22-12-22-1-2-2-11-2-12-21112-1-1-1-22-2-2122-12-21-1-11100000000111-1-1-1-2200002-20000-1-1111-10000
χ3722-2-122-2-1211-1-21-12-2-211-12222-2-1-1111-1-11-2-1-1112i−2i2i−2i−i−iii2-1-1-211002i−2i−ii00−i−iii0000000000
χ3822-2-122-2-1211-1-21-12-2-211-12222-2-1-1111-1-11-2-1-111−2i2i−2i2iii−i−i2-1-1-21100−2i2ii−i00ii−i−i0000000000
χ3922-2-122-2-1211-1-21-12-2-211-1222-22111-1-1-1-11-2-1-1112i−2i2i−2i−i−iii-2112-1-100−2i2i−ii00ii−i−i0000000000
χ4022-2-122-2-1211-1-21-12-2-211-1222-22111-1-1-1-11-2-1-111−2i2i−2i2iii−i−i-2112-1-1002i−2ii−i00−i−iii0000000000
χ4122-2-122-2-1211-1-21-1-22-211-12-2-200−i3i31i3−i3-11-1211-1-12i−2i−2i2iii−i−i0−i3i30i3−i30000−ii003−3−330000000000
χ4222-2-122-2-1211-1-21-1-22-211-12-2-200−i3i31i3−i3-11-1211-1-1−2i2i2i−2i−i−iii0−i3i30i3−i30000i−i00−333−30000000000
χ4322-2-122-2-1211-1-21-1-22-211-12-2-200i3−i31−i3i3-11-1211-1-12i−2i−2i2iii−i−i0i3−i30−i3i30000−ii00−333−30000000000
χ4422-2-122-2-1211-1-21-1-22-211-12-2-200i3−i31−i3i3-11-1211-1-1−2i2i2i−2i−i−iii0i3−i30−i3i30000i−i003−3−330000000000
χ4544444-4-444-4-4444400-4-4-4-4-4000000400-40000000000000000000000000000000000000000000
χ464444-2444-244-2-24-2-4-4-2-2-24-2220000-200-2-4-422222000000000000000000000000000000000000
χ474444-2-4-44-2-4-4-2-24-200222-42000000-2002000000000000000000000000000000000i6−i6i6−i6000000
χ484444-2-4-44-2-4-4-2-24-200222-42000000-2002000000000000000000000000000000000−i6i6−i6i6000000
χ49444-24-4-4-2422-24-2-200-4222-4000000-20020000000000023−2323−230000000000000000000000000000
χ50444-24-4-4-2422-24-2-200-4222-4000000-200200000000000−2323−23230000000000000000000000000000
χ51444-2-244-2-2-2-21-2-2144-211-2-2-2-244-2-21-2-21-2-2-2111100000000-211-2110000000000000000000000
χ52444-2-244-2-2-2-21-2-2144-211-2-2-2-2-4-4221221-2-2-21111000000002-1-12-1-10000000000000000000000
χ53444-2-244-2-2-2-21-2-21-4-4-211-2-22200−2i32i31−2i32i31222-1-1-1-1000000000i3−i30i3−i30000000000000000000000
χ54444-2-244-2-2-2-21-2-21-4-4-211-2-222002i3−2i312i3−2i31222-1-1-1-1000000000−i3i30−i3i30000000000000000000000
χ5544-444-4444444-4-4400444-4-4000000-400-40000000000000000000000000000000000000000000
χ5644-44-24-44-2-4-4-22-4-2-442224-2220000200-2-44-222-2-2000000000000000000000000000000000000
χ5744-44-2-444-244-22-4-200-2-2-2-420000002002000000000000000000000000000000000i6−i6−i6i6000000
χ5844-44-2-444-244-22-4-200-2-2-2-420000002002000000000000000000000000000000000−i6i6i6−i6000000
χ5944-4-24-44-24-2-2-2-42-2004-2-22-4000000200200000000000−2i32i32i3−2i30000000000000000000000000000
χ6044-4-24-44-24-2-2-2-42-2004-2-22-40000002002000000000002i3−2i3−2i32i30000000000000000000000000000
χ6144-4-2-24-4-2-22212214-42-1-1-2-2-2-24-4-2-2-1221-22211-1-100000000-2112-1-10000000000000000000000
χ6244-4-2-24-4-2-22212214-42-1-1-2-2-2-2-4422-1-2-21-22211-1-1000000002-1-1-2110000000000000000000000
χ6344-4-2-24-4-2-2221221-442-1-1-2-22200−2i32i3-12i3−2i312-2-2-1-111000000000i3−i30−i3i30000000000000000000000
χ6444-4-2-24-4-2-2221221-442-1-1-2-222002i3−2i3-1−2i32i312-2-2-1-111000000000−i3i30i3−i30000000000000000000000
χ65888-4-4-8-8-4-4442-4-42004-2-244000000200-20000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-4-4-4244200-42244000000-200-20000000000000000000000000000000000000000000
χ678-808800-8-800800-8000000000000000000000000000000000000000000000000000000000000
χ688-808-400-8400-400400000002i6−2i6000000000002i6−2i600000000000000000000000000000000000000
χ698-808-400-8400-40040000000−2i62i600000000000−2i62i600000000000000000000000000000000000000
χ708-80-48004-843−43-400400043−430000000000000000000000000000000000000000000000000000000
χ718-80-48004-8−4343-4004000−43430000000000000000000000000000000000000000000000000000000
χ728-80-4-4004443−43200-2000−2323002i6−2i600000000000−i6i6−3i23i2000000000000000000000000000000000000
χ738-80-4-4004443−43200-2000−232300−2i62i600000000000i6−i63i2−3i2000000000000000000000000000000000000
χ748-80-4-40044−4343200-200023−23002i6−2i600000000000−i6i63i2−3i2000000000000000000000000000000000000
χ758-80-4-40044−4343200-200023−2300−2i62i600000000000i6−i6−3i23i2000000000000000000000000000000000000

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