Finite Group Databasebeta

← Group #11889397

Character table — Group #11889397

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666663446661212121222481212121212121212242424242424242424444666688121212121212124448121212121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-11111111-11-1-1-1-111111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1111-11-1-1-111111-1-1-1-111-1-1-11-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1111-1-1-111-1-1111-1-111-1-111-1-11
χ5111111111111111111111111-1-11111111111111111111-1111-1-111111111111-1-11-11111-1-1-1-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-111-1111-1-111-1-1-111-1-1-1-1111-11
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-11-1111-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-11-1-111-1-11-1-1-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111-1-1-111-1-1-1111-1-1-1-111-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-111-1-111111-1-11-1-1111-1-1-11111-1-1-1-111-11-1
χ14111111111111111-1-11111111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-111-1-111-111111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-111-1-1-1-111111-1-1
χ17222222-2-2222222200222-2-2-2-22200000000-2-2000000002-2-200222200-2-20000000000000-2000000-2200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-2-220022-2-200220000000000000-20000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000022-200-2-22200-2-2000000000000020000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000-22200-2-2-2-2002200000000000002000000-2200000
χ2122222-12222-1-1-12-122-1-1-1-122-10022-1-1-1-122-1-122-1-1-1-1-1-12022200-1-122-1-12-1-1-1-10020-1-1-1-100000-1-10000000
χ2222222-12222-1-1-12-122-1-1-1-122-10022-1-1-1-122-1-122-1-1-1-1-1-1-20-2-2-20011-2-2112-1-1-1-100-20111100000110000000
χ2322222-12222-1-1-12-122-1-1-1-122-100-2-211-1-122-1-1-2-2111111202-2-200-1-1-2-2-1-1-211-1-1002011-1-100000110000000
χ2422222-12222-1-1-12-122-1-1-1-122-100-2-211-1-122-1-1-2-2111111-20-22200112211-211-1-100-20-1-11100000-1-10000000
χ2522222-12222-1-1-12-1-2-2-1-1-1-122-1002-2-1-111-2-2-1-1-2-21111112022200-1-1-2-2-1-12-1-11100-20-1-11100000110000000
χ2622222-12222-1-1-12-1-2-2-1-1-1-122-1002-2-1-111-2-2-1-1-2-2111111-20-2-2-2001122112-1-111002011-1-100000-1-10000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-122-100-221111-2-2-1-122-1-1-1-1-1-1202-2-200-1-122-1-1-2111100-20111100000-1-10000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-122-100-221111-2-2-1-122-1-1-1-1-1-1-20-2220011-2-211-211110020-1-1-1-100000110000000
χ292222-1222-1-1222-1-122-1-1-12-1-1222222222-1-1-1-1-1-122-1-1-1-102000-1-1000000-1-1-1-1-122020000-1-1-1-1-1000000-100
χ302222-1222-1-1222-1-122-1-1-12-1-1222-2-2-2-222-1-1-1-111-2-2111102000-1-1000000111-1-12-20-20000-1-1-111000000100
χ312222-1222-1-1222-1-122-1-1-12-1-12-2-2222222-1-1-1-1-1-122-1-1-1-10-200011000000-1-1-1-1-1-2-20-2000011111000000100
χ322222-1222-1-1222-1-122-1-1-12-1-12-2-2-2-2-2-222-1-1-1-111-2-211110-200011000000111-1-1-22020000111-1-1000000-100
χ332222-1222-1-1222-1-1-2-2-1-1-12-1-12222-222-2-211-1-111-2-2111102000-1-1000000-1-1-111-220-20000-11111000000-100
χ342222-1222-1-1222-1-1-2-2-1-1-12-1-1222-22-2-2-2-211-1-1-1-122-1-1-1-102000-1-100000011111-2-2020000-111-1-1000000100
χ352222-1222-1-1222-1-1-2-2-1-1-12-1-12-2-22-222-2-211-1-111-2-211110-200011000000-1-1-1112-20200001-1-1-1-1000000100
χ362222-1222-1-1222-1-1-2-2-1-1-12-1-12-2-2-22-2-2-2-211-1-1-1-122-1-1-1-10-20001100000011111220-200001-1-111000000-100
χ3722-2-2222-2-2-2-2-22222-2-2-222-22-20000002-22-22-2000000000002i−2i00002i−2i000002-200002i−2i00000002i−2i0000000
χ3822-2-2222-2-2-2-2-22222-2-2-222-22-20000002-22-22-200000000000−2i2i0000−2i2i000002-20000−2i2i0000000−2i2i0000000
χ3922-2-2222-2-2-2-2-2222-22-2-222-22-2000000-22-222-2000000000002i−2i0000−2i2i00000-2200002i−2i0000000−2i2i0000000
χ4022-2-2222-2-2-2-2-2222-22-2-222-22-2000000-22-222-200000000000−2i2i00002i−2i00000-220000−2i2i00000002i−2i0000000
χ4122-2-22-12-2-2-211-12-12-211-1-1-22100003−3-112-2-11003−333−3−30002i−2i00−i3i32i−2i−i3i303−3-110000−ii−i3i300000−ii0000000
χ4222-2-22-12-2-2-211-12-12-211-1-1-22100003−3-112-2-11003−333−3−3000−2i2i00i3−i3−2i2ii3−i303−3-110000i−ii3−i300000i−i0000000
χ4322-2-22-12-2-2-211-12-12-211-1-1-2210000−33-112-2-1100−33−3−3330002i−2i00i3−i32i−2ii3−i30−33-110000−iii3−i300000−ii0000000
χ4422-2-22-12-2-2-211-12-12-211-1-1-2210000−33-112-2-1100−33−3−333000−2i2i00−i3i3−2i2i−i3i30−33-110000i−i−i3i300000i−i0000000
χ4522-2-22-12-2-2-211-12-1-2211-1-1-22100003−31-1-22-1100−33−3−3330002i−2i00−i3i3−2i2i−i3i303−31-10000−iii3−i300000i−i0000000
χ4622-2-22-12-2-2-211-12-1-2211-1-1-22100003−31-1-22-1100−33−3−333000−2i2i00i3−i32i−2ii3−i303−31-10000i−i−i3i300000−ii0000000
χ4722-2-22-12-2-2-211-12-1-2211-1-1-2210000−331-1-22-11003−333−3−30002i−2i00i3−i3−2i2ii3−i30−331-10000−ii−i3i300000i−i0000000
χ4822-2-22-12-2-2-211-12-1-2211-1-1-2210000−331-1-22-11003−333−3−3000−2i2i00−i3i32i−2i−i3i30−331-10000i−ii3−i300000−ii0000000
χ4944444-2-4-444-2-2-24-200-2-2-22-4-420000000000220000000040-40000-2-20022000000000000000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-22-4-4200000000002200000000-40400002200-2-2000000000000000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-2-422-4440000000022000000000-4000-2-2000000000000000000020000000000000
χ524444-24-4-4-2-2444-2-200-2-2-2-422-4-4-400000000220000000004000220000000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-422-2-2-2-2112222-1-1-1-100000000000002-1-1110000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-4-2-22222112222-1-1-1-10000000000000-211-1-10000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-444-44-4-4-4-444400-4-44-44-440000000000-44000000000000000000000000000000000000000000000000
χ5844-4-44-2-44-4-422-24-20022-224-4-200000000002-2000000000000000−2i32i3002i3−2i3000000000000000000000000000
χ5944-4-44-2-44-4-422-24-20022-224-4-200000000002-20000000000000002i3−2i300−2i32i3000000000000000000000000000
χ6044-4-4-244-422-4-44-2-24-422-242-2-40000004-4-22-22000000000000000000000000-220000000000000000000000
χ6144-4-4-244-422-4-44-2-2-4422-242-2-4000000-442-2-220000000000000000000000002-20000000000000000000000
χ6244-4-4-24-4422-4-44-2-20022-2-4-22400000000002-200000000000000000000000000000000000−2i32i300000000000
χ6344-4-4-24-4422-4-44-2-20022-2-4-22400000000002-2000000000000000000000000000000000002i3−2i300000000000
χ6444-4-4-2-24-42222-2-214-4-1-11-22-22000023−23-22-221-10023−23−3−33300000000000000−331-10000000000000000000000
χ6544-4-4-2-24-42222-2-214-4-1-11-22-220000−2323-22-221-100−232333−3−3000000000000003−31-10000000000000000000000
χ6644-4-4-2-24-42222-2-21-44-1-11-22-22000023−232-22-21-100−232333−3−300000000000000−33-110000000000000000000000
χ6744-4-4-2-24-42222-2-21-44-1-11-22-220000−23232-22-21-10023−23−3−333000000000000003−3-110000000000000000000000
χ684-44-44400-444-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ694-44-44400-444-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ704-4-4444004-4-44-4-44004-4-400004-4000000000000000000000004-4000000000000000000000000000000000
χ714-4-4444004-4-44-4-44004-4-40000-4400000000000000000000000-44000000000000000000000000000000000
χ724-4-44-2400-22-44-42-200-22200004-40000000000i6−i600i6−i6i6−i600000-220000000000000000000000i6−i6000000000
χ734-4-44-2400-22-44-42-200-22200004-40000000000−i6i600−i6i6−i6i600000-220000000000000000000000−i6i6000000000
χ744-4-44-2400-22-44-42-200-2220000-440000000000i6−i600i6−i6i6−i6000002-20000000000000000000000−i6i6000000000
χ754-4-44-2400-22-44-42-200-2220000-440000000000−i6i600−i6i6−i6i6000002-20000000000000000000000i6−i6000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-4-884444-4-4200-2-224-44-40000000000-22000000000000000000000000000000000000000000000000
χ788-88-88-400-88-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-48004-48-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004-4-4444200-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ818-88-8-4-4004-4-4444200-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ828-8-888-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-444-4442002-2-200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ848-8-88-4-400-444-4442002-2-20000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000

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