Finite Group Databasebeta

← Group #11783905

Character table — Group #11783905

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222224444444444444444444488888888888888888888888899991818181818183636363636363636363636363636363636363636
order122244444422334466666612121212121212126666666612121212121212121212121212121212444422444444444444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ91111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ121111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ131111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ141111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ151111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ171-11-1i−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i11-1-11-1i−ii−i1-1i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ181-11-1i−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i11-1-11-1i−ii−i1-1i−i-11−ii-11−ii-11−ii-11−ii
χ191-11-1i−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-1-111-11−ii−ii-11−iii−i-11−ii1-1i−i-11−ii1-1
χ201-11-1i−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-1-111-11−ii−ii-11−ii−ii1-1i−i-11−ii1-1i−i-11
χ211-11-1i−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii11-1-11-1i−ii−i-11−ii1-1i−i1-1i−i-11−ii-11−ii
χ221-11-1i−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii11-1-11-1i−ii−i-11−ii-11−ii-11−ii1-1i−i1-1i−i
χ231-11-1i−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-1-111-11−ii−ii1-1i−ii−i-11−ii1-1−ii1-1i−i-11
χ241-11-1i−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-1-111-11−ii−ii1-1i−i−ii1-1i−i-11i−i-11−ii1-1
χ251-11-1−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii11-1-11-1−ii−ii1-1−ii1-1−ii1-1−ii1-1−ii1-1−ii
χ261-11-1−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii11-1-11-1−ii−ii1-1−ii-11i−i-11i−i-11i−i-11i−i
χ271-11-1−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-1-111-11i−ii−i-11i−ii−i1-1−ii-11i−i1-1−ii-11
χ281-11-1−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-1-111-11i−ii−i-11i−i−ii-11i−i1-1−ii-11i−i1-1
χ291-11-1−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i11-1-11-1−ii−ii-11i−i1-1−ii1-1−ii-11i−i-11i−i
χ301-11-1−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i11-1-11-1−ii−ii-11i−i-11i−i-11i−i1-1−ii1-1−ii
χ311-11-1−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-1-111-11i−ii−i1-1−iii−i1-1−ii-11−ii-11i−i1-1
χ321-11-1−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-1-111-11i−ii−i1-1−ii−ii-11i−i1-1i−i1-1−ii-11
χ33222222-2-2-2-20022002222222222222200000000-2-2-2-2-2-2-2-2000000002222-2-2-2-22200000000000000000000
χ34222222-2-2-2-20022002222222222222200000000-2-2-2-2-2-2-2-200000000-2-2-2-22222-2-200000000000000000000
χ352222-2-2-2-222002200222222-2-2-2-2-2-2-2-200000000-2-2-2-22222000000002222-2-222-2-200000000000000000000
χ362222-2-2-2-222002200222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000-2-2-2-222-2-22200000000000000000000
χ372-22-22i−2i-22−2i2i00220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-222−2i−2i2i2i0000000022-2-2-22−2i2i2i−2i00000000000000000000
χ382-22-22i−2i-22−2i2i00220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-222−2i−2i2i2i00000000-2-2222-22i−2i−2i2i00000000000000000000
χ392-22-2−2i2i-222i−2i00220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-2222i2i−2i−2i0000000022-2-2-222i−2i−2i2i00000000000000000000
χ402-22-2−2i2i-222i−2i00220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-2222i2i−2i−2i00000000-2-2222-2−2i2i2i−2i00000000000000000000
χ414444444444441-2441-21-21-211-2-211-2-211-2-211-2-21-21-21-21-211-2-211-2-2000000000000000000000000000000
χ42444444444444-2144-21-21-21-2-211-2-211-2-211-2-211-21-21-21-21-2-211-2-211000000000000000000000000000000
χ434444444444-4-41-2-4-41-21-21-211-2-211-2-2-1-122-1-1221-21-21-21-2-1-122-1-122000000000000000000000000000000
χ444444444444-4-4-21-4-4-21-21-21-2-211-2-21122-1-122-1-1-21-21-21-2122-1-122-1-1000000000000000000000000000000
χ45444444-4-4-4-4001-2001-21-21-211-2-211-2-23-3003-300-12-12-12-123-3003-300000000000000000000000000000000
χ46444444-4-4-4-4001-2001-21-21-211-2-211-2-2-3300-3300-12-12-12-12-3300-3300000000000000000000000000000000
χ47444444-4-4-4-400-2100-21-21-21-2-211-2-211003-3003-32-12-12-12-1003-3003-3000000000000000000000000000000
χ48444444-4-4-4-400-2100-21-21-21-2-211-2-21100-3300-332-12-12-12-100-3300-33000000000000000000000000000000
χ494444-4-444-4-4441-2-4-41-21-21-2-1-122-1-12211-2-211-2-21-21-2-12-12-1-122-1-122000000000000000000000000000000
χ504444-4-444-4-444-21-4-4-21-21-2122-1-122-1-1-2-211-2-211-21-212-12-122-1-122-1-1000000000000000000000000000000
χ514444-4-444-4-4-4-41-2441-21-21-2-1-122-1-122-1-122-1-1221-21-2-12-1211-2-211-2-2000000000000000000000000000000
χ524444-4-444-4-4-4-4-2144-21-21-2122-1-122-1-122-1-122-1-1-21-212-12-1-2-211-2-211000000000000000000000000000000
χ534444-4-4-4-444001-2001-21-21-2-1-122-1-1223-3003-300-12-121-21-2-3300-3300000000000000000000000000000000
χ544444-4-4-4-444001-2001-21-21-2-1-122-1-122-3300-3300-12-121-21-23-3003-300000000000000000000000000000000
χ554444-4-4-4-44400-2100-21-21-2122-1-122-1-1003-3003-32-12-1-21-2100-3300-33000000000000000000000000000000
χ564444-4-4-4-44400-2100-21-21-2122-1-122-1-100-3300-332-12-1-21-21003-3003-3000000000000000000000000000000
χ5744-4-4000000004400-4-4-4-444000000000000000000000000000000004i−4i4i−4i00000000000000000000000000
χ5844-4-4000000004400-4-4-4-44400000000000000000000000000000000−4i4i−4i4i00000000000000000000000000
χ594-44-44i−4i4-44i−4i4-41-24i−4i1-2-12-12ii−2i−2i−i−i2i2i11-2-2-1-1221-2-12i−2i−i2iii−2i−2i−i−i2i2i000000000000000000000000000000
χ604-44-44i−4i4-44i−4i4-4-214i−4i-212-12-1−2i−2iii2i2i−i−i-2-21122-1-1-212-1−2ii2i−i−2i−2iii2i2i−i−i000000000000000000000000000000
χ614-44-44i−4i4-44i−4i-441-2−4i4i1-2-12-12ii−2i−2i−i−i2i2i-1-12211-2-21-2-12i−2i−i2i−i−i2i2iii−2i−2i000000000000000000000000000000
χ624-44-44i−4i4-44i−4i-44-21−4i4i-212-12-1−2i−2iii2i2i−i−i22-1-1-2-211-212-1−2ii2i−i2i2i−i−i−2i−2iii000000000000000000000000000000
χ634-44-44i−4i-44−4i4i001-2001-2-12-12ii−2i−2i−i−i2i2i3-300-3300-121-2−i2ii−2i3i−3i00−3i3i00000000000000000000000000000000
χ644-44-44i−4i-44−4i4i001-2001-2-12-12ii−2i−2i−i−i2i2i-33003-300-121-2−i2ii−2i−3i3i003i−3i00000000000000000000000000000000
χ654-44-44i−4i-44−4i4i00-2100-212-12-1−2i−2iii2i2i−i−i003-300-332-1-212i−i−2ii003i−3i00−3i3i000000000000000000000000000000
χ664-44-44i−4i-44−4i4i00-2100-212-12-1−2i−2iii2i2i−i−i00-33003-32-1-212i−i−2ii00−3i3i003i−3i000000000000000000000000000000
χ674-44-4−4i4i4-4−4i4i4-41-2−4i4i1-2-12-12−i−i2i2iii−2i−2i11-2-2-1-1221-2-12−i2ii−2i−i−i2i2iii−2i−2i000000000000000000000000000000
χ684-44-4−4i4i4-4−4i4i4-4-21−4i4i-212-12-12i2i−i−i−2i−2iii-2-21122-1-1-212-12i−i−2ii2i2i−i−i−2i−2iii000000000000000000000000000000
χ694-44-4−4i4i4-4−4i4i-441-24i−4i1-2-12-12−i−i2i2iii−2i−2i-1-12211-2-21-2-12−i2ii−2iii−2i−2i−i−i2i2i000000000000000000000000000000
χ704-44-4−4i4i4-4−4i4i-44-214i−4i-212-12-12i2i−i−i−2i−2iii22-1-1-2-211-212-12i−i−2ii−2i−2iii2i2i−i−i000000000000000000000000000000
χ714-44-4−4i4i-444i−4i001-2001-2-12-12−i−i2i2iii−2i−2i3-300-3300-121-2i−2i−i2i−3i3i003i−3i00000000000000000000000000000000
χ724-44-4−4i4i-444i−4i001-2001-2-12-12−i−i2i2iii−2i−2i-33003-300-121-2i−2i−i2i3i−3i00−3i3i00000000000000000000000000000000
χ734-44-4−4i4i-444i−4i00-2100-212-12-12i2i−i−i−2i−2iii003-300-332-1-21−2ii2i−i00−3i3i003i−3i000000000000000000000000000000
χ744-44-4−4i4i-444i−4i00-2100-212-12-12i2i−i−i−2i−2iii00-33003-32-1-21−2ii2i−i003i−3i00−3i3i000000000000000000000000000000
χ754-4-44000000004400-4-444-4-4000000000000000000000000000000004i−4i−4i4i00000000000000000000000000
χ764-4-44000000004400-4-444-4-400000000000000000000000000000000−4i4i4i−4i00000000000000000000000000
χ7788-8-8000000002-400-24-242-46-6006-600000000000000000000000000000000000000000000000000000000
χ7888-8-8000000002-400-24-242-4-6600-6600000000000000000000000000000000000000000000000000000000
χ7988-8-800000000-42004-24-2-42006-6006-6000000000000000000000000000000000000000000000000000000
χ8088-8-800000000-42004-24-2-4200-6600-66000000000000000000000000000000000000000000000000000000
χ818-8-88000000002-400-242-4-246i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ828-8-88000000002-400-242-4-24−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ838-8-8800000000-42004-2-424-2006i−6i00−6i6i000000000000000000000000000000000000000000000000000000
χ848-8-8800000000-42004-2-424-200−6i6i006i−6i000000000000000000000000000000000000000000000000000000

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