Finite Group Databasebeta

← Group #11787789

Character table — Group #11787789

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order12442423346666661212121212121212666612121212444488888888224424661212121212122424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-111-1-1-11111-1-11111111-1-1-11-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1
χ6111111-111-1-1-11111-1-11111111-1-1-11-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ7111111-111-1-1-11111-1-11111111-1-1-11-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111-111-1-1-11111-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-111-1-1
χ911-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i-1-1111-11111-1-1-1-1ii−i−iii−i−i1-1i−ii−i
χ1011-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii-1-1111-11111-1-1-1-1−i−iii−i−iii1-1−ii−ii
χ1111-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i-1-111-11-1-1-1-11111ii−i−iii−i−i1-1−ii−ii
χ1211-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii-1-111-11-1-1-1-11111−i−iii−i−iii1-1i−ii−i
χ1311-1-11-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-111111-1-1ii−i−i−i−iii-1-111-11-1-111-1-111ii−i−i−i−iii-11i−i−ii
χ1411-1-11-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-111111-1-1−i−iiiii−i−i-1-111-11-1-111-1-111−i−iiiii−i−i-11−iii−i
χ1511-1-11-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-111ii−i−i−i−iii-1-1111-111-1-111-1-1ii−i−i−i−iii-11−iii−i
χ1611-1-11-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-111−i−iiiii−i−i-1-1111-111-1-111-1-1−i−iiiii−i−i-11i−i−ii
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ18222222-222-2-2-22222-2-22222222-2-2-22-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-20220002-2-220022-2-222-2000-2000000000002-22-22-22-2000000000000002-22-2000000
χ202222-2-20220002-2-220022-2-222-2000-200000000000-22-222-22-200000000000000-22-22000000
χ212222-2-20220002-2-220022-2-222-2000-200000002-22-20000-22-2200000000002-22-20000000000
χ222222-2-20220002-2-220022-2-222-2000-20000000-22-220000-22-220000000000-22-220000000000
χ2322-2-22-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000022-2-2000000000000000000-220000
χ2422-2-22-2-2222-2-2222222-2-2-2-2-2-22-2-2-2-222200000000000022-2-20000000000000000002-20000
χ2522-2-2-220220002-2-2200-2-222-2-2-20002000000000002i−2i−2i2i-222-2000000000000002i−2i−2i2i000000
χ2622-2-2-220220002-2-2200-2-222-2-2-2000200000000000−2i2i2i−2i-222-200000000000000−2i2i2i−2i000000
χ2722-2-2-220220002-2-2200-2-222-2-2-2000200000002i−2i−2i2i00002-2-2200000000002i−2i−2i2i0000000000
χ2822-2-2-220220002-2-2200-2-222-2-2-200020000000−2i2i2i−2i00002-2-220000000000−2i2i2i−2i0000000000
χ2944444441-24111-2-2-211-2-2-2-21111-2-211-2-200002222222200000000000000-1-1-1-1-1-1-1-1000000
χ3044444441-24111-2-2-211-2-2-2-21111-2-211-2-20000-2-2-2-2-2-2-2-20000000000000011111111000000
χ314444444-214-2-2-2111-2-21111-2-2-2-211-2-211222200000000000022-1-1-1-1-1-1-1-100000000000000
χ324444444-214-2-2-2111-2-21111-2-2-2-211-2-211-2-2-2-2000000000000-2-21111111100000000000000
χ33444444-41-2-4-1-11-2-2-2-1-1-2-2-2-2111-1221-12200002222-2-2-2-200000000000000-1-1-1-11111000000
χ34444444-41-2-4-1-11-2-2-2-1-1-2-2-2-2111-1221-1220000-2-2-2-22222000000000000001111-1-1-1-1000000
χ35444444-4-21-422-2111221111-2-2-22-1-1-22-1-12222000000000000-2-211-1-1-1-11100000000000000
χ36444444-4-21-422-2111221111-2-2-22-1-1-22-1-1-2-2-2-200000000000022-1-11111-1-100000000000000
χ374444-4-401-2033122-233-2-22211-1-300-1-30000002-22-22-22-200000000000000-11-11-11-11000000
χ384444-4-401-2033122-233-2-22211-1-300-1-3000000-22-22-22-22000000000000001-11-11-11-1000000
χ394444-4-401-20-3-3122-2-3-3-2-22211-1300-130000002-22-2-22-2200000000000000-11-111-11-1000000
χ404444-4-401-20-3-3122-2-3-3-2-22211-1300-13000000-22-222-22-2000000000000001-11-1-11-11000000
χ4144-4-44-441-2-4111-2-2-2-1-12222-1-111-2-2-1-12200002i2i−2i−2i2i2i−2i−2i00000000000000−i−iii−i−iii000000
χ4244-4-44-441-2-4111-2-2-2-1-12222-1-111-2-2-1-1220000−2i−2i2i2i−2i−2i2i2i00000000000000ii−i−iii−i−i000000
χ4344-4-44-44-21-4-2-2-211122-1-1-1-122-2-21122-1-122-2-20000000000002-2-1-1-1-1111100000000000000
χ4444-4-44-44-21-4-2-2-211122-1-1-1-122-2-21122-1-1-2-222000000000000-221111-1-1-1-100000000000000
χ4544-4-44-4-41-24-1-11-2-2-2112222-1-11-122-11-2-200002i2i−2i−2i−2i−2i2i2i00000000000000−i−iiiii−i−i000000
χ4644-4-44-4-41-24-1-11-2-2-2112222-1-11-122-11-2-20000−2i−2i2i2i2i2i−2i−2i00000000000000ii−i−i−i−iii000000
χ4744-4-44-4-4-21422-2111-2-2-1-1-1-122-22-1-12-21122-2-2000000000000-2211-1-111-1-100000000000000
χ4844-4-44-4-4-21422-2111-2-2-1-1-1-122-22-1-12-211-2-2220000000000002-2-1-111-1-11100000000000000
χ4944-4-4-4401-2033122-2-3-322-2-2-1-1-1-300130000002i−2i−2i2i2i−2i−2i2i00000000000000−iii−i−iii−i000000
χ5044-4-4-4401-2033122-2-3-322-2-2-1-1-1-30013000000−2i2i2i−2i−2i2i2i−2i00000000000000i−i−iii−i−ii000000
χ5144-4-4-4401-20-3-3122-23322-2-2-1-1-13001-30000002i−2i−2i2i−2i2i2i−2i00000000000000−iii−ii−i−ii000000
χ5244-4-4-4401-20-3-3122-23322-2-2-1-1-13001-3000000−2i2i2i−2i2i−2i−2i2i00000000000000i−i−ii−iii−i000000
χ534-44i−4i00044000-400-4004i−4i004i−4i000000002-22i−2i00000000000000002-22i−2i0000000000000000
χ544-44i−4i00044000-400-4004i−4i004i−4i00000000-22−2i2i0000000000000000-22−2i2i0000000000000000
χ554-44i−4i000-210−2i32i323-3-123−23i−i3i−3i−2i2i00−i3i3003−32-22i−2i00000000000000−i3i3-11−ii3−300000000000000
χ564-44i−4i000-210−2i32i323-3-123−23i−i3i−3i−2i2i00−i3i3003−3-22−2i2i00000000000000i3−i31-1i−i−3300000000000000
χ574-44i−4i000-2102i3−2i323-3-1−2323i−i3i−3i−2i2i00i3−i300−332-22i−2i00000000000000i3−i3-11−ii−3300000000000000
χ584-44i−4i000-2102i3−2i323-3-1−2323i−i3i−3i−2i2i00i3−i300−33-22−2i2i00000000000000−i3i31-1i−i3−300000000000000
χ594-4−4i4i00044000-400-400−4i4i00−4i4i000000002-2−2i2i00000000000000002-2−2i2i0000000000000000
χ604-4−4i4i00044000-400-400−4i4i00−4i4i00000000-222i−2i0000000000000000-222i−2i0000000000000000
χ614-4−4i4i000-210−2i32i323-3-1−2323−ii−3i3i2i−2i00−i3i300−332-2−2i2i00000000000000−i3i3-11i−i−3300000000000000
χ624-4−4i4i000-210−2i32i323-3-1−2323−ii−3i3i2i−2i00−i3i300−33-222i−2i00000000000000i3−i31-1−ii3−300000000000000
χ634-4−4i4i000-2102i3−2i323-3-123−23−ii−3i3i2i−2i00i3−i3003−32-2−2i2i00000000000000i3−i3-11i−i3−300000000000000
χ644-4−4i4i000-2102i3−2i323-3-123−23−ii−3i3i2i−2i00i3−i3003−3-222i−2i00000000000000−i3i31-1−ii−3300000000000000
χ658888-8-80-42000-4-2-220022-2-2-4-4400040000000000000000000000000000000000000000000
χ6688-8-8-880-42000-4-2-2200-2-222444000-40000000000000000000000000000000000000000000
χ678-88i−8i0002-40−2i32i3-200423−23−4i4i002i−2i002i3−2i300−23230000000000000000000000000000000000000000
χ688-88i−8i0002-402i3−2i3-2004−2323−4i4i002i−2i00−2i32i30023−230000000000000000000000000000000000000000
χ698-88i−8i000-420004-66-2002i−2i−6i6i−4i4i000000000000000000000000000000000000000000000000
χ708-8−8i8i0002-40−2i32i3-2004−23234i−4i00−2i2i002i3−2i30023−230000000000000000000000000000000000000000
χ718-8−8i8i0002-402i3−2i3-200423−234i−4i00−2i2i00−2i32i300−23230000000000000000000000000000000000000000
χ728-8−8i8i000-420004-66-200−2i2i6i−6i4i−4i000000000000000000000000000000000000000000000000

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