Finite Group Databasebeta

← Group #11878813

Character table — Group #11878813

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122244444433666666121212121212121212121212121212124444222244446666666612121212121212122488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ91111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-11-11-111-1-111-1-111-1-111-1-11-111-1-111-1-1
χ101111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1-111-1-111
χ111111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-111-1-1-11111-1-1-1-11111-1-11-1-1-111-1-111
χ121111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-11-11-11-1-111-1-111-1-111-1-1111-111-1-111-1-1
χ131111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1-11-1111-1-111-1-1-1-111-1-111-1111-1-1-1-111
χ141111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-11-111-111-1-1-1-111-1-11111-1-1-11-1-11111-1-1
χ151111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-111-11-1-11-1-11111-1-111-1-1-1-111-11-1-11111-1-1
χ161111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-11-111-11-1-1-111-1-11111-1-111-1-1-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ192222-2-222-2-2222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000-2200000000
χ202222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-22222-2-20000000000000000000000002-200000000
χ2122-2-22-22i−2i2i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i0000000000000000000000000000002−22−2−i2i2−i2i2
χ2222-2-22-22i−2i2i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i000000000000000000000000000000−22−22i2−i2i2−i2
χ2322-2-22-2−2i2i−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i0000000000000000000000000000002−22−2i2−i2i2−i2
χ2422-2-22-2−2i2i−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i000000000000000000000000000000−22−22−i2i2−i2i2
χ2522-2-2-222i−2i−2i2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i-2-2222i−2i−2i2i0000000000000000000000000000002−2−22−i2i2i2−i2
χ2622-2-2-222i−2i−2i2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i-2-2222i−2i−2i2i000000000000000000000000000000−222−2i2−i2−i2i2
χ2722-2-2-22−2i2i2i−2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2-222−2i2i2i−2i0000000000000000000000000000002−2−22i2−i2−i2i2
χ2822-2-2-22−2i2i2i−2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2-222−2i2i2i−2i000000000000000000000000000000−222−2−i2i2i2−i2
χ2944444444441-21-21-21-21111-2-2-2-21-21-2-2-2110000002200220000-1-1-1-10000-1-1-1-10000000000
χ3044444444441-21-21-21-21111-2-2-2-21-21-2-2-211000000-2-200-2-200001111000011110000000000
χ314444444444-21-21-21-21-2-2-2-21111-21-2111-2-2000022002200-1-1-1-10000-1-1-1-100000000000000
χ324444444444-21-21-21-21-2-2-2-21111-21-2111-2-20000-2-200-2-20011110000111100000000000000
χ33444444-4-4-4-41-21-21-21-2-1-1-1-122221-21-222-1-10000002200-2-20000-1-1-1-1000011110000000000
χ34444444-4-4-4-41-21-21-21-2-1-1-1-122221-21-222-1-1000000-2-20022000011110000-1-1-1-10000000000
χ35444444-4-4-4-4-21-21-21-212222-1-1-1-1-21-21-1-12200002200-2-200-1-1-1-10000111100000000000000
χ36444444-4-4-4-4-21-21-21-212222-1-1-1-1-21-21-1-1220000-2-200220011110000-1-1-1-100000000000000
χ374444-4-444-4-41-21-21-21-211112222-12-12-2-2-1-10000002-2002-20000-1-1110000-1-1110000000000
χ384444-4-444-4-41-21-21-21-211112222-12-12-2-2-1-1000000-2200-22000011-1-1000011-1-10000000000
χ394444-4-444-4-4-21-21-21-21-2-2-2-2-1-1-1-12-12-1112200002-2002-200-1-1110000-1-11100000000000000
χ404444-4-444-4-4-21-21-21-21-2-2-2-2-1-1-1-12-12-111220000-2200-220011-1-1000011-1-100000000000000
χ414444-4-4-4-4441-21-21-21-2-1-1-1-1-2-2-2-2-12-1222110000002-200-220000-1-111000011-1-10000000000
χ424444-4-4-4-4441-21-21-21-2-1-1-1-1-2-2-2-2-12-122211000000-22002-2000011-1-10000-1-1110000000000
χ434444-4-4-4-444-21-21-21-21222211112-12-1-1-1-2-200002-200-2200-1-111000011-1-100000000000000
χ444444-4-4-4-444-21-21-21-21222211112-12-1-1-1-2-20000-22002-20011-1-10000-1-11100000000000000
χ4544-4-44-44i−4i4i−4i1-21-2-12-12ii−i−i−2i−2i2i2i1-2-12−2i2ii−i0000000000000000−i3i3−i3i300003−33−30000000000
χ4644-4-44-44i−4i4i−4i1-21-2-12-12ii−i−i−2i−2i2i2i1-2-12−2i2ii−i0000000000000000i3−i3i3−i30000−33−330000000000
χ4744-4-44-44i−4i4i−4i-21-212-12-1−2i−2i2i2iii−i−i-212-1i−i−2i2i000000000000−i3i3−i3i300003−33−300000000000000
χ4844-4-44-44i−4i4i−4i-21-212-12-1−2i−2i2i2iii−i−i-212-1i−i−2i2i000000000000i3−i3i3−i30000−33−3300000000000000
χ4944-4-44-4−4i4i−4i4i1-21-2-12-12−i−iii2i2i−2i−2i1-2-122i−2i−ii0000000000000000−i3i3−i3i30000−33−330000000000
χ5044-4-44-4−4i4i−4i4i1-21-2-12-12−i−iii2i2i−2i−2i1-2-122i−2i−ii0000000000000000i3−i3i3−i300003−33−30000000000
χ5144-4-44-4−4i4i−4i4i-21-212-12-12i2i−2i−2i−i−iii-212-1−ii2i−2i000000000000−i3i3−i3i30000−33−3300000000000000
χ5244-4-44-4−4i4i−4i4i-21-212-12-12i2i−2i−2i−i−iii-212-1−ii2i−2i000000000000i3−i3i3−i300003−33−300000000000000
χ5344-4-4-444i−4i−4i4i1-21-2-12-12ii−i−i2i2i−2i−2i-121-2−2i2i−ii0000000000000000−i3i3i3−i300003−3−330000000000
χ5444-4-4-444i−4i−4i4i1-21-2-12-12ii−i−i2i2i−2i−2i-121-2−2i2i−ii0000000000000000i3−i3−i3i30000−333−30000000000
χ5544-4-4-444i−4i−4i4i-21-212-12-1−2i−2i2i2i−i−iii2-1-21i−i2i−2i000000000000−i3i3i3−i300003−3−3300000000000000
χ5644-4-4-444i−4i−4i4i-21-212-12-1−2i−2i2i2i−i−iii2-1-21i−i2i−2i000000000000i3−i3−i3i30000−333−300000000000000
χ5744-4-4-44−4i4i4i−4i1-21-2-12-12−i−iii−2i−2i2i2i-121-22i−2ii−i0000000000000000−i3i3i3−i30000−333−30000000000
χ5844-4-4-44−4i4i4i−4i1-21-2-12-12−i−iii−2i−2i2i2i-121-22i−2ii−i0000000000000000i3−i3−i3i300003−3−330000000000
χ5944-4-4-44−4i4i4i−4i-21-212-12-12i2i−2i−2iii−i−i2-1-21−ii−2i2i000000000000−i3i3i3−i30000−333−300000000000000
χ6044-4-4-44−4i4i4i−4i-21-212-12-12i2i−2i−2iii−i−i2-1-21−ii−2i2i000000000000i3−i3−i3i300003−3−3300000000000000
χ614-44-400000044-4-4-444-40000000000000000004-40000000000000000000000000000000000
χ624-44-400000044-4-4-444-4000000000000000000-440000000000000000000000000000000000
χ634-4-4400000044-4-44-4-4400000000000000004-4000000000000000000000000000000000000
χ644-4-4400000044-4-44-4-440000000000000000-44000000000000000000000000000000000000
χ658-88-80000002-4-24-2-4246-66-600000000000000000000000000000000000000000000000000
χ668-88-80000002-4-24-2-424-66-6600000000000000000000000000000000000000000000000000
χ678-88-8000000-424-242-4-200006i−6i6i−6i0000000000000000000000000000000000000000000000
χ688-88-8000000-424-242-4-20000−6i6i−6i6i0000000000000000000000000000000000000000000000
χ698-8-880000002-4-2424-2-46i−6i−6i6i00000000000000000000000000000000000000000000000000
χ708-8-880000002-4-2424-2-4−6i6i6i−6i00000000000000000000000000000000000000000000000000
χ718-8-88000000-424-2-4-24200006-6-660000000000000000000000000000000000000000000000
χ728-8-88000000-424-2-4-2420000-666-60000000000000000000000000000000000000000000000

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