Finite Group Databasebeta

← Group #11787854

Character table — Group #11787854

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order12224433446666661212121212121212444444441212121212122244448812121212121224242424444444121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-1111111-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ711111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111
χ91-1-111-111i−i-1-1-1-111ii−i−i11-1-1i−ii−i11-1-1ii−i−ii−i-111-11-1i−ii−i11-1-1ii−i−ii−i11-1-11-1i−i
χ101-1-111-111i−i-1-1-1-111ii−i−i11-1-1i−ii−i11-1-1ii−i−ii−i-111-1-11−iii−i11-1-1−i−iiii−i-1-111-11−ii
χ111-1-111-111i−i-1-1-1-111ii−i−i11-1-1−ii−ii-1-111−i−iiii−i-111-11-1i−i−ii-1-111ii−i−ii−i-1-1111-1−ii
χ121-1-111-111i−i-1-1-1-111ii−i−i11-1-1−ii−ii-1-111−i−iiii−i-111-1-11−ii−ii-1-111−i−iiii−i11-1-1-11i−i
χ131-1-111-111−ii-1-1-1-111−i−iii11-1-1i−ii−i-1-111ii−i−i−ii-111-11-1−iii−i-1-111−i−iii−ii-1-1111-1i−i
χ141-1-111-111−ii-1-1-1-111−i−iii11-1-1i−ii−i-1-111ii−i−i−ii-111-1-11i−ii−i-1-111ii−i−i−ii11-1-1-11−ii
χ151-1-111-111−ii-1-1-1-111−i−iii11-1-1−ii−ii11-1-1−i−iii−ii-111-11-1−ii−ii11-1-1−i−iii−ii11-1-11-1−ii
χ161-1-111-111−ii-1-1-1-111−i−iii11-1-1−ii−ii11-1-1−i−iii−ii-111-1-11i−i−ii11-1-1ii−i−i−ii-1-111-11i−i
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-222002222220000-2-2-2-200002-22-200000022-2-20000002-22-200000000000000
χ202222-2-222002222220000-2-2-2-20000-22-2200000022-2-2000000-22-2200000000000000
χ212222-2-222002222220000-2-2-2-222-2-20000-2-2-2-200-2-222000022000000000000000000
χ222222-2-222002222220000-2-2-2-2-2-2220000222200-2-2220000-2-2000000000000000000
χ232-2-222-2222i−2i-2-2-2-2222i2i−2i−2i22-2-20000000000002i−2i2-2-2200000000000000−2i2i00000000
χ242-2-222-222−2i2i-2-2-2-222−2i−2i2i2i22-2-2000000000000−2i2i2-2-22000000000000002i−2i00000000
χ252-2-22-222200-2-2-2-2220000-2-22200002-2-22000000-22-220000002-2-2200000000000000
χ262-2-22-222200-2-2-2-2220000-2-2220000-222-2000000-22-22000000-222-200000000000000
χ272-2-22-222200-2-2-2-2220000-2-2222i−2i−2i2i0000−2i−2i2i2i002-22-200002i−2i000000000000000000
χ282-2-22-222200-2-2-2-2220000-2-222−2i2i2i−2i00002i2i−2i−2i002-22-20000−2i2i000000000000000000
χ294444441-24411-2-21-2-2-2-2-21-2-210000000000001100002222000000-1-1-1-1000000-1-100
χ304444441-24411-2-21-2-2-2-2-21-2-21000000000000110000-2-2-2-200000011110000001100
χ314444441-2-4-411-2-21-222221-2-21000000000000-1-1000022-2-20000001111000000-1-100
χ324444441-2-4-411-2-21-222221-2-21000000000000-1-10000-2-222000000-1-1-1-10000001100
χ33444444-2144-2-211-211111-211-222222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ34444444-2144-2-211-211111-211-2-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ35444444-21-4-4-2-211-21-1-1-1-1-211-22222-2-2-2-2-1-1-1-12200000000-1-1111100000000000000
χ36444444-21-4-4-2-211-21-1-1-1-1-211-2-2-2-2-222221111220000000011-1-1-1-100000000000000
χ374444-4-4-2100-2-211-213-33-32-1-1222-2-22-22-211110000000000-1-1-11-1100000000000000
χ384444-4-4-2100-2-211-213-33-32-1-12-2-222-22-22-1-1-1-10000000000111-11-100000000000000
χ394444-4-4-2100-2-211-21-33-332-1-1222-2-2-22-2211110000000000-1-11-11-100000000000000
χ404444-4-4-2100-2-211-21-33-332-1-12-2-2222-22-2-1-1-1-1000000000011-11-1100000000000000
χ4144-4-4004400-44-44-4-40000000000000000000000000000000000000000002-22-20000
χ4244-4-4004400-44-44-4-4000000000000000000000000000000000000000000-22-220000
χ434-44-40044004-44-4-4-40000000000000000000000000000000000000000002-2-220000
χ444-44-40044004-44-4-4-4000000000000000000000000000000000000000000-222-20000
χ454-4-444-41-24i−4i-1-1221-2−2i−2i2i2i1-22-1000000000000i−i00002-22i−2i000000−i−iii000000-1100
χ464-4-444-41-24i−4i-1-1221-2−2i−2i2i2i1-22-1000000000000i−i0000-22−2i2i000000ii−i−i0000001-100
χ474-4-444-41-2−4i4i-1-1221-22i2i−2i−2i1-22-1000000000000−ii00002-2−2i2i000000ii−i−i000000-1100
χ484-4-444-41-2−4i4i-1-1221-22i2i−2i−2i1-22-1000000000000−ii0000-222i−2i000000−i−iii0000001-100
χ494-4-444-4-214i−4i22-1-1-21ii−i−i-21-122i−2i2i−2i22-2-2−i−iii−2i2i00000000−ii-1-11100000000000000
χ504-4-444-4-214i−4i22-1-1-21ii−i−i-21-12−2i2i−2i2i-2-222ii−i−i−2i2i00000000i−i11-1-100000000000000
χ514-4-444-4-21−4i4i22-1-1-21−i−iii-21-122i−2i2i−2i-2-222−i−iii2i−2i00000000−ii11-1-100000000000000
χ524-4-444-4-21−4i4i22-1-1-21−i−iii-21-12−2i2i−2i2i22-2-2ii−i−i2i−2i00000000i−i-1-11100000000000000
χ534-4-44-44-210022-1-1-213i−3i−3i3i2-11-22i−2i−2i2i2-2-22ii−i−i0000000000−ii-111-100000000000000
χ544-4-44-44-210022-1-1-213i−3i−3i3i2-11-2−2i2i2i−2i-222-2−i−iii0000000000i−i1-1-1100000000000000
χ554-4-44-44-210022-1-1-21−3i3i3i−3i2-11-22i−2i−2i2i-222-2ii−i−i0000000000−ii1-1-1100000000000000
χ564-4-44-44-210022-1-1-21−3i3i3i−3i2-11-2−2i2i2i−2i2-2-22−i−iii0000000000i−i-111-100000000000000
χ578888-8-82-40022-4-42-40000-244-2000000000000000000000000000000000000000000
χ5888-8-8002-400-224-4-240000000000000000000000000000000000006−66−60000000000
χ5988-8-8002-400-224-4-24000000000000000000000000000000000000−66−660000000000
χ6088-8-800-42004-4-224-2000000000000000023−2323−23000000000000000000000000000000
χ6188-8-800-42004-4-224-20000000000000000−2323−2323000000000000000000000000000000
χ628-88-8002-4002-2-44-24000000000000000000000000000000000000i6−i6−i6i60000000000
χ638-88-8002-4002-2-44-24000000000000000000000000000000000000−i6i6i6−i60000000000
χ648-88-800-4200-442-24-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ658-88-800-4200-442-24-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ668-8-88-882-400-2-2442-40000-24-42000000000000000000000000000000000000000000

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