Finite Group Databasebeta

← Group #11895992

Character table — Group #11895992

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666663446661212121244481212121212121212242424242424242444444881212121212121212121212224666681212122424242444881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-11-111-1-1-1-111-111-1-11-1-111-1-1-111111-1-1-1-111-1-11
χ411111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111111-111-1-111-11111-11-1-1-1-1-1-111-1-1-11-1
χ5111111111111111111111111-1-1111111111111111111111-11111111-1-111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11-111111111-1-111-1
χ8111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-111-1-1-111-1-1111-1-1-1-1-111-1-1111-11
χ9111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-11111111-1-111-1-11-1-1-1-1-1111-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111-1-111-111-1-111-11-1-111-1-1-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-1111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-11111-1-11-1-1111-1-111-1-11-111-1-111-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-111111-1-1-1111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-11-11111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000002-2-200-2-222220000000000000-20000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-20000000000-2-220022-2-2220000000000000-2000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000000022-200-2-222-2-200000000000002000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000000-2220022-2-2-2-2000000000000020000002-200000
χ2122222-12222-1-1-12-122-1-1-12-1-120022-1-1-1-122-1-1-1-122-1-1-1-12220222-1-1-1-1002-1-1-1-102000-1-100-1-1-1-1000000000
χ2222222-12222-1-1-12-122-1-1-12-1-120022-1-1-1-122-1-1-1-122-1-1-1-1-2-2-20-2-2-21111002-1-1-1-10-200011001111000000000
χ2322222-12222-1-1-12-122-1-1-12-1-1200-2-2-1-11122-1-111-2-2111122-20-222111100-2-1-1110-20001100-1-1-1-1000000000
χ2422222-12222-1-1-12-122-1-1-12-1-1200-2-2-1-11122-1-111-2-21111-2-2202-2-2-1-1-1-100-2-1-11102000-1-1001111000000000
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-12002-211-1-1-2-2-1-111-2-2111122202-2-2-1-1-1-100211-1-10-20001100-1-111000000000
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-12002-211-1-1-2-2-1-111-2-21111-2-2-20-222111100211-1-102000-1-10011-1-1000000000
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-1200-221111-2-2-1-1-1-122-1-1-1-122-20-2-2-2111100-2111102000-1-100-1-111000000000
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-1200-221111-2-2-1-1-1-122-1-1-1-1-2-220222-1-1-1-100-211110-2000110011-1-1000000000
χ292222-1222-1-1222-1-122-1-1-1-122-122222222-1-1-1-122-1-1-1-1-1-100020000000-1-1-1-1-1-1-1202-1-1002-10000-1-10000-100
χ302222-1222-1-1222-1-122-1-1-1-122-122-2-222-2-2-1-1-1-1-2-211111100020000000-1-11-1-11120-2-1-100-2-10000110000100
χ312222-1222-1-1222-1-122-1-1-1-122-1-2-2222222-1-1-1-122-1-1-1-1-1-1000-2000000011-1-1-1-1-1-20-21100-210000110000100
χ322222-1222-1-1222-1-122-1-1-1-122-1-2-2-2-222-2-2-1-1-1-1-2-2111111000-20000000111-1-111-2021100210000-1-10000-100
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-1222-2-2-22211-1-1-2-211111100020000000-1-1-111-1-1-2021100-2-10000110000-100
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-122-22-2-2-2-211-1-122-1-1-1-1-1-100020000000-1-111111-20-211002-10000-1-10000100
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-1-2-22-2-2-22211-1-1-2-2111111000-2000000011-111-1-120-2-1-100210000-1-10000100
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-1-2-2-22-2-2-2-211-1-122-1-1-1-1-1-1000-200000001111111202-1-100-210000110000-100
χ3722-2-222-222-2-22-2-222i−2i-22-2-22-2200002i−2i002i−2i-22000000002-20002i−2i00000002i−2i000000000002-22i−2i000000000
χ3822-2-222-222-2-22-2-222i−2i-22-2-22-2200002i−2i002i−2i-2200000000-22000−2i2i00000002i−2i00000000000-22−2i2i000000000
χ3922-2-222-222-2-22-2-22−2i2i-22-2-22-220000−2i2i00−2i2i-22000000002-2000−2i2i0000000−2i2i000000000002-2−2i2i000000000
χ4022-2-222-222-2-22-2-22−2i2i-22-2-22-220000−2i2i00−2i2i-2200000000-220002i−2i0000000−2i2i00000000000-222i−2i000000000
χ4122-2-22-1-222-21-11-2-12i−2i1-11-2-1120000−ii3−32i−2i1-1−i3i300−i3−i3i3i32-20002i−2i3−33−3000−ii3−300000−i3i300-11−ii000000000
χ4222-2-22-1-222-21-11-2-12i−2i1-11-2-1120000−ii3−32i−2i1-1−i3i300−i3−i3i3i3-22000−2i2i−33−33000−ii3−300000i3−i3001-1i−i000000000
χ4322-2-22-1-222-21-11-2-12i−2i1-11-2-1120000−ii−332i−2i1-1i3−i300i3i3−i3−i32-20002i−2i−33−33000−ii−3300000i3−i300-11−ii000000000
χ4422-2-22-1-222-21-11-2-12i−2i1-11-2-1120000−ii−332i−2i1-1i3−i300i3i3−i3−i3-22000−2i2i3−33−3000−ii−3300000−i3i3001-1i−i000000000
χ4522-2-22-1-222-21-11-2-1−2i2i1-11-2-1120000i−i3−3−2i2i1-1i3−i300i3i3−i3−i32-2000−2i2i3−33−3000i−i3−300000i3−i300-11i−i000000000
χ4622-2-22-1-222-21-11-2-1−2i2i1-11-2-1120000i−i3−3−2i2i1-1i3−i300i3i3−i3−i3-220002i−2i−33−33000i−i3−300000−i3i3001-1−ii000000000
χ4722-2-22-1-222-21-11-2-1−2i2i1-11-2-1120000i−i−33−2i2i1-1−i3i300−i3−i3i3i32-2000−2i2i−33−33000i−i−3300000−i3i300-11i−i000000000
χ4822-2-22-1-222-21-11-2-1−2i2i1-11-2-1120000i−i−33−2i2i1-1−i3i300−i3−i3i3i3-220002i−2i3−33−3000i−i−3300000i3−i3001-1−ii000000000
χ4944444-2-4-444-2-2-24-200-2-2-2-422-4000000000022000000000040-40022-2-200000000000000000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-2-422-40000000000220000000000-40400-2-22200000000000000000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-22-4-4244000000002200000000000-40000000-2-2000000000000020000000000000
χ524444-24-4-4-2-2444-2-200-2-2-22-4-42-4-400000000220000000000040000000220000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-222-2-2112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-422-2-222112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-4444-44-4-44-4-4400-44-44-44-400000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-42-22-4-2002-2242-2-40000000000-2200000000000000023−23−232300000000000000000000000000000
χ5944-4-44-24-44-42-22-4-2002-2242-2-40000000000-22000000000000000−232323−2300000000000000000000000000000
χ6044-4-4-244-4-22-44-42-2002-22-2-4420000000000-2200000000000000000000000000000−2i32i300000000000000000
χ6144-4-4-244-4-22-44-42-2002-22-2-4420000000000-22000000000000000000000000000002i3−2i300000000000000000
χ6244-4-4-24-44-22-44-42-24i−4i2-2224-4-200004i−4i00−2i2i2-20000000000000000000000−2i2i000000000000000000000000
χ6344-4-4-24-44-22-44-42-2−4i4i2-2224-4-20000−4i4i002i−2i2-200000000000000000000002i−2i000000000000000000000000
χ6444-4-4-2-2-44-222-22214i−4i-11-12-22-20000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i300000000000000i−i−330000000000000000000000
χ6544-4-4-2-2-44-222-22214i−4i-11-12-22-20000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i300000000000000i−i3−30000000000000000000000
χ6644-4-4-2-2-44-222-2221−4i4i-11-12-22-200002i−2i23−232i−2i-112i3−2i300−i3−i3i3i300000000000000−ii−330000000000000000000000
χ6744-4-4-2-2-44-222-2221−4i4i-11-12-22-200002i−2i−23232i−2i-11−2i32i300i3i3−i3−i300000000000000−ii3−30000000000000000000000
χ684-44-44400-4-4-4-444400-4-4400004-4000000000000000000000000000004-4000000000000000000000000000
χ694-44-44400-4-4-4-444400-4-440000-4400000000000000000000000000000-44000000000000000000000000000
χ704-44-4-240022-4-44-2-20022-200004-4000000000000i6−i6i6−i6i6−i600000000000-22000000000000000000i6−i60000000
χ714-44-4-240022-4-44-2-20022-200004-4000000000000−i6i6−i6i6−i6i600000000000-22000000000000000000−i6i60000000
χ724-44-4-240022-4-44-2-20022-20000-44000000000000i6−i6i6−i6i6−i6000000000002-2000000000000000000−i6i60000000
χ734-44-4-240022-4-44-2-20022-20000-44000000000000−i6i6−i6i6−i6i6000000000002-2000000000000000000i6−i60000000
χ744-4-444400-444-4-4-44004-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ754-4-444400-444-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-8-444-444200-22-2-44-4400000000002-2000000000000000000000000000000000000000000000000
χ788-88-88-400-8-844-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004444-4-4200-2-220000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-4004444-4-4200-2-22000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-888-400-88-444-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-48-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-4-44442002-2-20000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-4004-4-44442002-2-200000000000000000000−323232−320000000000000000000000000000000000000000

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