Finite Group Databasebeta

← Group #11772603

Character table — Group #11772603

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111224444444444444444448888888888888888888888888836363636363636367272727272727272
order122222334466666666666666441212121212121212121212121212121212121212121212122222444444444444
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
χ5111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ91-11-11-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i1-1i−i1-1i−i
χ101-11-11-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i-11−ii-11−ii
χ111-11-11-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iiii−i-11−ii1-1
χ121-11-11-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iii−ii1-1i−i-11
χ131-11-11-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii1-1−ii1-1−ii
χ141-11-11-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii-11i−i-11i−i
χ151-11-11-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−ii−i1-1−ii-11
χ161-11-11-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i−ii-11i−i1-1
χ1722222222-2-22222222222222200-2-2-2-2-2-2-2-200000000000000002-2-22000000000000
χ1822222222-2-22222222222222200-2-2-2-2-2-2-2-20000000000000000-222-2000000000000
χ192-22-22-222-222222-2-2-2-2-2-222-2-200-2-2-2-22222000000000000000022-2-2000000000000
χ202-22-22-222-222222-2-2-2-2-2-222-2-200-2-2-2-222220000000000000000-2-222000000000000
χ214444441-24411-2-2111-2-2-21-21-24411-2-211-2-21111-2-2-2-21111-2-2-2-20000000000000000
χ224444441-24411-2-2111-2-2-21-21-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-122220000000000000000
χ234444441-2-4-411-2-2111-2-2-21-21-200-1-122-1-12233-3-3000033-3-300000000000000000000
χ244444441-2-4-411-2-2111-2-2-21-21-200-1-122-1-122-3-3330000-3-33300000000000000000000
χ25444444-2144-2-211-2-2-2111-21-2144-2-211-2-211-2-2-2-21111-2-2-2-211110000000000000000
χ26444444-2144-2-211-2-2-2111-21-21-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-10000000000000000
χ27444444-21-4-4-2-211-2-2-2111-21-210022-1-122-1-1000033-3-3000033-3-30000000000000000
χ28444444-21-4-4-2-211-2-2-2111-21-210022-1-122-1-10000-3-3330000-3-3330000000000000000
χ294444-4-41-200-1-1221-1-122-21-21-2003-3003-300−i3i3−i3i300−2i32i3−i3i3−i3i300−2i32i30000000000000000
χ304444-4-41-200-1-1221-1-122-21-21-2003-3003-300i3−i3i3−i3002i3−2i3i3−i3i3−i3002i3−2i30000000000000000
χ314444-4-41-200-1-1221-1-122-21-21-200-3300-3300−i3i3i3−i3−2i32i300−i3i3i3−i3−2i32i3000000000000000000
χ324444-4-41-200-1-1221-1-122-21-21-200-3300-3300i3−i3−i3i32i3−2i300i3−i3−i3i32i3−2i3000000000000000000
χ334444-4-44400-4-4-4-44-4-4-4-444444000000000000000000000000000000000000000000
χ344444-4-4-210022-1-1-222-1-11-21-2100003-3003-300−2i32i3−i3i3i3−i300−2i32i3−i3i3i3−i30000000000000000
χ354444-4-4-210022-1-1-222-1-11-21-2100003-3003-3002i3−2i3i3−i3−i3i3002i3−2i3i3−i3−i3i30000000000000000
χ364444-4-4-210022-1-1-222-1-11-21-210000-3300-33−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i30000000000000000
χ374444-4-4-210022-1-1-222-1-11-21-210000-3300-332i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i30000000000000000
χ3844-4-40044000000400004-4-4-4-40000000000000000000000000000002i−2i2i−2i00000000
χ3944-4-40044000000400004-4-4-4-4000000000000000000000000000000−2i2i−2i2i00000000
χ404-44-44-41-24-411-2-2-1-1-12221-2-124i−4i11-2-2-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i0000000000000000
χ414-44-44-41-24-411-2-2-1-1-12221-2-12−4i4i11-2-2-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i0000000000000000
χ424-44-44-41-2-4411-2-2-1-1-12221-2-1200-1-12211-2-23i3i−3i−3i0000−3i−3i3i3i00000000000000000000
χ434-44-44-41-2-4411-2-2-1-1-12221-2-1200-1-12211-2-2−3i−3i3i3i00003i3i−3i−3i00000000000000000000
χ444-44-44-4-214-4-2-211222-1-1-1-212-14i−4i-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000
χ454-44-44-4-214-4-2-211222-1-1-1-212-1−4i4i-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000
χ464-44-44-4-21-44-2-211222-1-1-1-212-10022-1-1-2-21100003i3i−3i−3i0000−3i−3i3i3i0000000000000000
χ474-44-44-4-21-44-2-211222-1-1-1-212-10022-1-1-2-2110000−3i−3i3i3i00003i3i−3i−3i0000000000000000
χ484-44-4-441-200-1-122-111-2-221-2-12003-300-33003−33−30023−23−33−3300−23230000000000000000
χ494-44-4-441-200-1-122-111-2-221-2-12003-300-3300−33−3300−23233−33−30023−230000000000000000
χ504-44-4-441-200-1-122-111-2-221-2-1200-33003-3003−3−3323−2300−333−3−2323000000000000000000
χ514-44-4-441-200-1-122-111-2-221-2-1200-33003-300−333−3−2323003−3−3323−23000000000000000000
χ524-44-4-444400-4-4-4-4-44444-444-4-4000000000000000000000000000000000000000000
χ534-44-4-44-210022-1-12-2-211-1-212-100003-300-330023−233−3−3300−2323−333−30000000000000000
χ544-44-4-44-210022-1-12-2-211-1-212-100003-300-3300−2323−333−30023−233−3−330000000000000000
χ554-44-4-44-210022-1-12-2-211-1-212-10000-33003-323−2300−33−33−2323003−33−30000000000000000
χ564-44-4-44-210022-1-12-2-211-1-212-10000-33003-3−2323003−33−323−2300−33−330000000000000000
χ574-4-440044000000-40000-4-4-4440000000000000000000000000000002-2-2200000000
χ584-4-440044000000-40000-4-4-444000000000000000000000000000000-222-200000000
χ5988-8-8002-4006-60026-600-4-24-24000000000000000000000000000000000000000000
χ6088-8-8002-400-66002-6600-4-24-24000000000000000000000000000000000000000000
χ6188-8-800-4200006-6-4006-624-24-2000000000000000000000000000000000000000000
χ6288-8-800-420000-66-400-6624-24-2000000000000000000000000000000000000000000
χ638-8-88002-4006-600-2-66004-242-4000000000000000000000000000000000000000000
χ648-8-88002-400-6600-26-6004-242-4000000000000000000000000000000000000000000
χ658-8-8800-4200006-6400-66-24-2-42000000000000000000000000000000000000000000
χ668-8-8800-420000-664006-6-24-2-42000000000000000000000000000000000000000000

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