Finite Group Databasebeta

← Group #11783756

Character table — Group #11783756

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222224444444444444444444488888888888888888888888899991818181818183636363636363636363636363636363636363636
order1222224444223344666666666666666666666612121212121212121212121212121212444422224444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ51111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ12111111-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ13111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ14111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ15111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111
χ171-11-11-1ii−i−i1-111i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1i−i1-1i−i1-1i−i1-1i−ii−i1-1i−i1-1
χ181-11-11-1ii−i−i1-111i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1i−i1-1i−i-11−ii-11−ii−ii-11−ii-11
χ191-11-11-1ii−i−i1-111i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111−ii-11−iii−i-11i−i-111-1−ii1-1−ii
χ201-11-11-1ii−i−i1-111i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111−ii-11−ii−ii1-1−ii1-1-11i−i-11i−i
χ211-11-11-1ii−i−i-1111−ii111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1i−i-11−ii1-1i−i-11−iii−i1-1−ii-11
χ221-11-11-1ii−i−i-1111−ii111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1i−i-11−ii-11−ii1-1i−i−ii-11i−i1-1
χ231-11-11-1ii−i−i-1111−ii111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-111−ii1-1i−ii−i-11−ii1-11-1−ii-11i−i
χ241-11-11-1ii−i−i-1111−ii111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-111−ii1-1i−i−ii1-1i−i-11-11i−i1-1−ii
χ251-11-11-1−i−iii1-111−ii111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111i−i-11i−ii−i1-1i−i1-1-11−ii-11−ii
χ261-11-11-1−i−iii1-111−ii111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111i−i-11i−i−ii-11−ii-111-1i−i1-1i−i
χ271-11-11-1−i−iii1-111−ii111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1−ii1-1−ii1-1−ii1-1−ii−ii1-1−ii1-1
χ281-11-11-1−i−iii1-111−ii111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1−ii1-1−ii-11i−i-11i−ii−i-11i−i-11
χ291-11-11-1−i−iii-1111i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-111i−i1-1−iii−i1-1−ii-11-11−ii1-1i−i
χ301-11-11-1−i−iii-1111i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-111i−i1-1−ii−ii-11i−i1-11-1i−i-11−ii
χ311-11-11-1−i−iii-1111i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1−ii-11i−i1-1−ii-11i−i−ii1-1i−i-11
χ321-11-11-1−i−iii-1111i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1−ii-11i−i-11i−i1-1−iii−i-11−ii1-1
χ332222-2-22-22-200220022-2-2-2-2-2-2-2-222220000000022-2-222-2-20000000022222-22-2-2-200000000000000000000
χ342222-2-22-22-200220022-2-2-2-2-2-2-2-222220000000022-2-222-2-200000000-2-2-2-2-22-222200000000000000000000
χ352222-2-2-22-2200220022-2-2-2-2-2-2-2-2222200000000-2-222-2-222000000002222-22-22-2-200000000000000000000
χ362222-2-2-22-2200220022-2-2-2-2-2-2-2-2222200000000-2-222-2-22200000000-2-2-2-22-22-22200000000000000000000
χ372-22-2-222i−2i−2i2i00220022-2-2-2-22222-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i2-2-22−2i2i00000000000000000000
χ382-22-2-222i−2i−2i2i00220022-2-2-2-22222-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i-222-22i−2i00000000000000000000
χ392-22-2-22−2i2i2i−2i00220022-2-2-2-22222-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i-222-2−2i2i00000000000000000000
χ402-22-2-22−2i2i2i−2i00220022-2-2-2-22222-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2-2-222i−2i00000000000000000000
χ414444444444441-2441-211-2-211-2-211-2-211-2-211-2-21-21-21-21-211-2-211-2-2000000000000000000000000000000
χ42444444444444-2144-21-2-211-2-211-2-211-2-211-2-211-21-21-21-21-2-211-2-211000000000000000000000000000000
χ434444444444-4-41-2-4-41-211-2-211-2-211-2-2-1-122-1-1221-21-21-21-2-1-122-1-122000000000000000000000000000000
χ444444444444-4-4-21-4-4-21-2-211-2-211-2-21122-1-122-1-1-21-21-21-2122-1-122-1-1000000000000000000000000000000
χ45444444-4-4-4-4441-2-4-41-211-2-211-2-211-2-211-2-211-2-2-12-12-12-12-1-122-1-122000000000000000000000000000000
χ46444444-4-4-4-444-21-4-4-21-2-211-2-211-2-211-2-211-2-2112-12-12-12-122-1-122-1-1000000000000000000000000000000
χ47444444-4-4-4-4-4-41-2441-211-2-211-2-211-2-2-1-122-1-122-12-12-12-1211-2-211-2-2000000000000000000000000000000
χ48444444-4-4-4-4-4-4-2144-21-2-211-2-211-2-21122-1-122-1-12-12-12-12-1-2-211-2-211000000000000000000000000000000
χ494444-4-44-44-4001-2001-2-1-122-1-12211-2-23-3003-3001-2-121-2-123-3003-300000000000000000000000000000000
χ504444-4-44-44-4001-2001-2-1-122-1-12211-2-2-3300-33001-2-121-2-12-3300-3300000000000000000000000000000000
χ514444-4-44-44-400-2100-2122-1-122-1-1-2-211003-3003-3-212-1-212-1003-3003-3000000000000000000000000000000
χ524444-4-44-44-400-2100-2122-1-122-1-1-2-21100-3300-33-212-1-212-100-3300-33000000000000000000000000000000
χ534444-4-4-44-44001-2001-2-1-122-1-12211-2-23-3003-300-121-2-121-2-3300-3300000000000000000000000000000000
χ544444-4-4-44-44001-2001-2-1-122-1-12211-2-2-3300-3300-121-2-121-23-3003-300000000000000000000000000000000
χ554444-4-4-44-4400-2100-2122-1-122-1-1-2-211003-3003-32-1-212-1-2100-3300-33000000000000000000000000000000
χ564444-4-4-44-4400-2100-2122-1-122-1-1-2-21100-3300-332-1-212-1-21003-3003-3000000000000000000000000000000
χ5744-4-4000000004400-4-4000000004-44-40000000000000000000000004i−4i4i−4i00000000000000000000000000
χ5844-4-4000000004400-4-4000000004-44-4000000000000000000000000−4i4i−4i4i00000000000000000000000000
χ594-44-44-44i4i−4i−4i4-41-24i−4i1-211-2-2-1-122-1-12211-2-2-1-122i−2ii−2i−i2i−i2iii−2i−2i−i−i2i2i000000000000000000000000000000
χ604-44-44-44i4i−4i−4i4-4-214i−4i-21-2-21122-1-122-1-1-2-21122-1-1−2ii−2ii2i−i2i−i−2i−2iii2i2i−i−i000000000000000000000000000000
χ614-44-44-44i4i−4i−4i-441-2−4i4i1-211-2-2-1-122-1-122-1-12211-2-2i−2ii−2i−i2i−i2i−i−i2i2iii−2i−2i000000000000000000000000000000
χ624-44-44-44i4i−4i−4i-44-21−4i4i-21-2-21122-1-122-1-122-1-1-2-211−2ii−2ii2i−i2i−i2i2i−i−i−2i−2iii000000000000000000000000000000
χ634-44-44-4−4i−4i4i4i4-41-2−4i4i1-211-2-2-1-122-1-12211-2-2-1-122−i2i−i2ii−2ii−2i−i−i2i2iii−2i−2i000000000000000000000000000000
χ644-44-44-4−4i−4i4i4i4-4-21−4i4i-21-2-21122-1-122-1-1-2-21122-1-12i−i2i−i−2ii−2ii2i2i−i−i−2i−2iii000000000000000000000000000000
χ654-44-44-4−4i−4i4i4i-441-24i−4i1-211-2-2-1-122-1-122-1-12211-2-2−i2i−i2ii−2ii−2iii−2i−2i−i−i2i2i000000000000000000000000000000
χ664-44-44-4−4i−4i4i4i-44-214i−4i-21-2-21122-1-122-1-122-1-1-2-2112i−i2i−i−2ii−2ii−2i−2iii2i2i−i−i000000000000000000000000000000
χ674-44-4-444i−4i−4i4i001-2001-2-1-12211-2-2-1-1223-300-3300i−2i−i2i−i2ii−2i3i−3i00−3i3i00000000000000000000000000000000
χ684-44-4-444i−4i−4i4i001-2001-2-1-12211-2-2-1-122-33003-300i−2i−i2i−i2ii−2i−3i3i003i−3i00000000000000000000000000000000
χ694-44-4-444i−4i−4i4i00-2100-2122-1-1-2-21122-1-1003-300-33−2ii2i−i2i−i−2ii003i−3i00−3i3i000000000000000000000000000000
χ704-44-4-444i−4i−4i4i00-2100-2122-1-1-2-21122-1-100-33003-3−2ii2i−i2i−i−2ii00−3i3i003i−3i000000000000000000000000000000
χ714-44-4-44−4i4i4i−4i001-2001-2-1-12211-2-2-1-1223-300-3300−i2ii−2ii−2i−i2i−3i3i003i−3i00000000000000000000000000000000
χ724-44-4-44−4i4i4i−4i001-2001-2-1-12211-2-2-1-122-33003-300−i2ii−2ii−2i−i2i3i−3i00−3i3i00000000000000000000000000000000
χ734-44-4-44−4i4i4i−4i00-2100-2122-1-1-2-21122-1-1003-300-332i−i−2ii−2ii2i−i00−3i3i003i−3i000000000000000000000000000000
χ744-44-4-44−4i4i4i−4i00-2100-2122-1-1-2-21122-1-100-33003-32i−i−2ii−2ii2i−i003i−3i00−3i3i000000000000000000000000000000
χ754-4-44000000004400-4-400000000-44-440000000000000000000000004-4-4400000000000000000000000000
χ764-4-44000000004400-4-400000000-44-44000000000000000000000000-444-400000000000000000000000000
χ7788-8-8000000002-400-246-6006-6002-2-44000000000000000000000000000000000000000000000000000000
χ7888-8-8000000002-400-24-6600-66002-2-44000000000000000000000000000000000000000000000000000000
χ7988-8-800000000-42004-2006-6006-6-442-2000000000000000000000000000000000000000000000000000000
χ8088-8-800000000-42004-200-6600-66-442-2000000000000000000000000000000000000000000000000000000
χ818-8-88000000002-400-246-600-6600-224-4000000000000000000000000000000000000000000000000000000
χ828-8-88000000002-400-24-66006-600-224-4000000000000000000000000000000000000000000000000000000
χ838-8-8800000000-42004-2006-600-664-4-22000000000000000000000000000000000000000000000000000000
χ848-8-8800000000-42004-200-66006-64-4-22000000000000000000000000000000000000000000000000000000

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