Finite Group Databasebeta

← Group #11772558

Character table — Group #11772558

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111224444444444444444448888888888888888888888888836363636363636367272727272727272
order1222222233666666666666664466666666121212121212121212121212121212122244444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1ii−i−i−i−iii
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−iiiii−i−i
χ91-11-11-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-1ii−i−i1i−ii−i1-11-1
χ101-11-11-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-1ii−i−i1−ii−ii-11-11
χ111-11-11-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111−i−iii-11-1-11−iii−i
χ121-11-11-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111−i−iii-1-111-1i−i−ii
χ131-11-11-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-1−i−iii1i−ii−i-11-11
χ141-11-11-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-1−i−iii1−ii−ii1-11-1
χ151-11-11-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111ii−i−i-11-1-11i−i−ii
χ161-11-11-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111ii−i−i-1-111-1−iii−i
χ17222222-2-2222222222222222200-2-2-2-2-2-2-2-2000000000000000022-20000-200000000
χ18222222-2-2222222222222222200-2-2-2-2-2-2-2-20000000000000000-2-220000200000000
χ192-22-22-2-2222222222-2-2-2-2-2-2-2-200-2-2-2-2222200000000000000002-220000-200000000
χ202-22-22-2-2222222222-2-2-2-2-2-2-2-200-2-2-2-222220000000000000000-22-20000200000000
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
χ294444-4-4001-21-1-122-211-2-2-1-122003-3003-3003−33−30023−233−33−30023−230000000000000000
χ304444-4-4001-21-1-122-211-2-2-1-122003-3003-300−33−3300−2323−33−3300−23230000000000000000
χ314444-4-4001-21-1-122-211-2-2-1-12200-3300-33003−3−3323−23003−3−3323−23000000000000000000
χ324444-4-4001-21-1-122-211-2-2-1-12200-3300-3300−333−3−232300−333−3−2323000000000000000000
χ334444-4-400444-4-4-4-444444-4-4-4-4000000000000000000000000000000000000000000
χ344444-4-400-21-222-1-11-2-21122-1-100003-3003-30023−233−3−330023−233−3−330000000000000000
χ354444-4-400-21-222-1-11-2-21122-1-100003-3003-300−2323−333−300−2323−333−30000000000000000
χ364444-4-400-21-222-1-11-2-21122-1-10000-3300-3323−2300−33−3323−2300−33−330000000000000000
χ374444-4-400-21-222-1-11-2-21122-1-10000-3300-33−2323003−33−3−2323003−33−30000000000000000
χ3844-4-4000044-40000-44-44-40000000000000000000000000000000002i−2i2i−2i000000000
χ3944-4-4000044-40000-44-44-4000000000000000000000000000000000−2i2i−2i2i000000000
χ404-44-44-44-41-2111-2-2-2-1-122-1-1224i−4i11-2-2-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i0000000000000000
χ414-44-44-44-41-2111-2-2-2-1-122-1-122−4i4i11-2-2-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i0000000000000000
χ424-44-44-44-4-21-2-2-211122-1-122-1-14i−4i-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000
χ434-44-44-44-4-21-2-2-211122-1-122-1-1−4i4i-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000
χ444-44-44-4-441-2111-2-2-2-1-122-1-12200-1-12211-2-23i3i−3i−3i0000−3i−3i3i3i00000000000000000000
χ454-44-44-4-441-2111-2-2-2-1-122-1-12200-1-12211-2-2−3i−3i3i3i00003i3i−3i−3i00000000000000000000
χ464-44-44-4-44-21-2-2-211122-1-122-1-10022-1-1-2-21100003i3i−3i−3i0000−3i−3i3i3i0000000000000000
χ474-44-44-4-44-21-2-2-211122-1-122-1-10022-1-1-2-2110000−3i−3i3i3i00003i3i−3i−3i0000000000000000
χ484-44-4-44001-21-1-122-2-1-12211-2-2003-300-3300−i3i3−i3i300−2i32i3i3−i3i3−i3002i3−2i30000000000000000
χ494-44-4-44001-21-1-122-2-1-12211-2-2003-300-3300i3−i3i3−i3002i3−2i3−i3i3−i3i300−2i32i30000000000000000
χ504-44-4-44001-21-1-122-2-1-12211-2-200-33003-300−i3i3i3−i3−2i32i300i3−i3−i3i32i3−2i3000000000000000000
χ514-44-4-44001-21-1-122-2-1-12211-2-200-33003-300i3−i3−i3i32i3−2i300−i3i3i3−i3−2i32i3000000000000000000
χ524-44-4-4400444-4-4-4-44-4-4-4-44444000000000000000000000000000000000000000000
χ534-44-4-4400-21-222-1-1122-1-1-2-21100003-300-3300−2i32i3−i3i3i3−i3002i3−2i3i3−i3−i3i30000000000000000
χ544-44-4-4400-21-222-1-1122-1-1-2-21100003-300-33002i3−2i3i3−i3−i3i300−2i32i3−i3i3i3−i30000000000000000
χ554-44-4-4400-21-222-1-1122-1-1-2-2110000-33003-3−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i30000000000000000
χ564-44-4-4400-21-222-1-1122-1-1-2-2110000-33003-32i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i30000000000000000
χ574-4-44000044-40000-4-44-440000000000000000000000000000000002-2-22000000000
χ584-4-44000044-40000-4-44-44000000000000000000000000000000000-222-2000000000
χ5988-8-800002-4-26-60042-2-446-600000000000000000000000000000000000000000000
χ6088-8-800002-4-2-660042-2-44-6600000000000000000000000000000000000000000000
χ6188-8-80000-424006-6-2-442-2006-6000000000000000000000000000000000000000000
χ6288-8-80000-42400-66-2-442-200-66000000000000000000000000000000000000000000
χ638-8-8800002-4-26-6004-224-4-6600000000000000000000000000000000000000000000
χ648-8-8800002-4-2-66004-224-46-600000000000000000000000000000000000000000000
χ658-8-880000-424006-6-24-4-2200-66000000000000000000000000000000000000000000
χ668-8-880000-42400-66-24-4-22006-6000000000000000000000000000000000000000000

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