Finite Group Databasebeta

← Group #11771247

Character table — Group #11771247

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111224444444444444444448888888888888888888888888818181818363672727272727272727272
order1222222233666666666666664466666666121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ6111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ91111-1-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1i−i1-1i−i1-1i−i
χ101111-1-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1i−i-11−ii-11−ii
χ111111-1-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−iii−i-11−ii1-1
χ121111-1-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−ii−ii1-1i−i-11
χ131111-1-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−ii1-1−ii1-1−ii
χ141111-1-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−ii-11i−i-11i−i
χ151111-1-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11i−ii−i1-1−ii-11
χ161111-1-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11i−i−ii-11i−i1-1
χ17222222-2-2222222222222222200-2-2-2-2-2-2-2-2000000000000000022-2-2-220000000000
χ18222222-2-2222222222222222200-2-2-2-2-2-2-2-20000000000000000-2-2222-20000000000
χ192222-2-2-2222222222-2-2-2-2-2-2-2-200-2-2-2-2222200000000000000002222-2-20000000000
χ202222-2-2-2222222222-2-2-2-2-2-2-2-200-2-2-2-222220000000000000000-2-2-2-2220000000000
χ21444444441-2111-2-2-211-2-211-2-24411-2-211-2-21111-2-2-2-21111-2-2-2-20000000000000000
χ22444444441-2111-2-2-211-2-211-2-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-122220000000000000000
χ2344444444-21-2-2-2111-2-211-2-21144-2-211-2-211-2-2-2-21111-2-2-2-211110000000000000000
χ2444444444-21-2-2-2111-2-211-2-211-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-10000000000000000
χ25444444-4-41-2111-2-2-211-2-211-2-200-1-122-1-12233-3-3000033-3-300000000000000000000
χ26444444-4-41-2111-2-2-211-2-211-2-200-1-122-1-122-3-3330000-3-33300000000000000000000
χ27444444-4-4-21-2-2-2111-2-211-2-2110022-1-122-1-1000033-3-3000033-3-30000000000000000
χ28444444-4-4-21-2-2-2111-2-211-2-2110022-1-122-1-10000-3-3330000-3-3330000000000000000
χ294444-4-44-41-2111-2-2-2-1-122-1-1224i−4i11-2-2-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i0000000000000000
χ304444-4-44-41-2111-2-2-2-1-122-1-122−4i4i11-2-2-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i0000000000000000
χ314444-4-44-4-21-2-2-211122-1-122-1-14i−4i-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000
χ324444-4-44-4-21-2-2-211122-1-122-1-1−4i4i-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000
χ334444-4-4-441-2111-2-2-2-1-122-1-12200-1-12211-2-23i3i−3i−3i0000−3i−3i3i3i00000000000000000000
χ344444-4-4-441-2111-2-2-2-1-122-1-12200-1-12211-2-2−3i−3i3i3i00003i3i−3i−3i00000000000000000000
χ354444-4-4-44-21-2-2-211122-1-122-1-10022-1-1-2-21100003i3i−3i−3i0000−3i−3i3i3i0000000000000000
χ364444-4-4-44-21-2-2-211122-1-122-1-10022-1-1-2-2110000−3i−3i3i3i00003i3i−3i−3i0000000000000000
χ3744-4-40000444-4-44-4-40000000000000000000000000000000000004i−4i000000000000
χ3844-4-40000444-4-44-4-4000000000000000000000000000000000000−4i4i000000000000
χ394-44-4000044-44-4-44-400000000000000000000000000000000004i−4i00000000000000
χ404-44-4000044-44-4-44-40000000000000000000000000000000000−4i4i00000000000000
χ414-4-444-4001-2-1-1122-2-1-12211-2-2003-3003-300−i3i3−i3i300−2i32i3−i3i3−i3i300−2i32i30000000000000000
χ424-4-444-4001-2-1-1122-2-1-12211-2-2003-3003-300i3−i3i3−i3002i3−2i3i3−i3i3−i3002i3−2i30000000000000000
χ434-4-444-4001-2-1-1122-2-1-12211-2-200-3300-3300−i3i3i3−i3−2i32i300−i3i3i3−i3−2i32i3000000000000000000
χ444-4-444-4001-2-1-1122-2-1-12211-2-200-3300-3300i3−i3−i3i32i3−2i300i3−i3−i3i32i3−2i3000000000000000000
χ454-4-444-40044-4-44-4-44-4-4-4-44444000000000000000000000000000000000000000000
χ464-4-444-400-2122-2-1-1122-1-1-2-21100003-3003-300−2i32i3−i3i3i3−i300−2i32i3−i3i3i3−i30000000000000000
χ474-4-444-400-2122-2-1-1122-1-1-2-21100003-3003-3002i3−2i3i3−i3−i3i3002i3−2i3i3−i3−i3i30000000000000000
χ484-4-444-400-2122-2-1-1122-1-1-2-2110000-3300-33−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i30000000000000000
χ494-4-444-400-2122-2-1-1122-1-1-2-2110000-3300-332i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i30000000000000000
χ504-4-44-44001-2-1-1122-211-2-2-1-122003-300-33003−33−30023−23−33−3300−23230000000000000000
χ514-4-44-44001-2-1-1122-211-2-2-1-122003-300-3300−33−3300−23233−33−30023−230000000000000000
χ524-4-44-44001-2-1-1122-211-2-2-1-12200-33003-3003−3−3323−2300−333−3−2323000000000000000000
χ534-4-44-44001-2-1-1122-211-2-2-1-12200-33003-300−333−3−2323003−3−3323−23000000000000000000
χ544-4-44-440044-4-44-4-444444-4-4-4-4000000000000000000000000000000000000000000
χ554-4-44-4400-2122-2-1-11-2-21122-1-100003-300-330023−233−3−3300−2323−333−30000000000000000
χ564-4-44-4400-2122-2-1-11-2-21122-1-100003-300-3300−2323−333−30023−233−3−330000000000000000
χ574-4-44-4400-2122-2-1-11-2-21122-1-10000-33003-323−2300−33−33−2323003−33−30000000000000000
χ584-4-44-4400-2122-2-1-11-2-21122-1-10000-33003-3−2323003−33−323−2300−33−330000000000000000
χ5988-8-800002-42-2-2-4446-6006-600000000000000000000000000000000000000000000
χ6088-8-800002-42-2-2-444-6600-6600000000000000000000000000000000000000000000
χ6188-8-80000-42-4442-2-2006-6006-6000000000000000000000000000000000000000000
χ6288-8-80000-42-4442-2-200-6600-66000000000000000000000000000000000000000000
χ638-88-800002-4-22-24-446-600-6600000000000000000000000000000000000000000000
χ648-88-800002-4-22-24-44-66006-600000000000000000000000000000000000000000000
χ658-88-80000-424-44-22-2006-600-66000000000000000000000000000000000000000000
χ668-88-80000-424-44-22-200-66006-6000000000000000000000000000000000000000000

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