Finite Group Databasebeta

← Group #11787753

Character table — Group #11787753

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order12224433446666661212121212121212224444446666121222442288121212121212242424244444446688
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
χ511111111-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-1111111111-1-1-1-1111-1-1-1-1111111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ711111111-1-1111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111-1-1111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111
χ91-11-11-111i−i-1-11-11-111-1ii−i−i-11-1ii−i−i1-111-1-1i−i1-1-111-1i−i1-1ii−i−iii−i−ii−iii−i−i1-11-1
χ101-11-11-111i−i-1-11-11-111-1ii−i−i-11-1ii−i−i1-111-1-1i−i1-1-11-11−ii1-1ii−i−i−i−iiii−i−i−iii-11-11
χ111-11-11-111i−i-1-11-11-111-1ii−i−i-1-11−i−iii-11-1-111i−i1-1-111-1i−i-11−i−iiiii−i−ii−i−i−iii1-1-11
χ121-11-11-111i−i-1-11-11-111-1ii−i−i-1-11−i−iii-11-1-111i−i1-1-11-11−ii-11−i−iii−i−iiii−iii−i−i-111-1
χ131-11-11-111−ii-1-11-11-111-1−i−iii-11-1−i−iii1-111-1-1−ii1-1-111-1−ii1-1−i−iii−i−iii−ii−i−iii1-11-1
χ141-11-11-111−ii-1-11-11-111-1−i−iii-11-1−i−iii1-111-1-1−ii1-1-11-11i−i1-1−i−iiiii−i−i−iiii−i−i-11-11
χ151-11-11-111−ii-1-11-11-111-1−i−iii-1-11ii−i−i-11-1-111−ii1-1-111-1−ii-11ii−i−i−i−iii−iiii−i−i1-1-11
χ161-11-11-111−ii-1-11-11-111-1−i−iii-1-11ii−i−i-11-1-111−ii1-1-11-11i−i-11ii−i−iii−i−i−ii−i−iii-111-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222222-2-2-2-22000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22200222222-2-2-20000-2002-22-20000000022-2-20000002-22-200000000000000
χ202222-2-22200222222-2-2-20000-200-22-220000000022-2-2000000-22-2200000000000000
χ212222-2-22200222222-2-2-20000-2220000-2-2222200-2-2220000-2-2000000000000000000
χ222222-2-22200222222-2-2-20000-2-2-2000022-2-2-2-200-2-222000022000000000000000000
χ232-22-22-2222i−2i-2-22-22-222-22i2i−2i−2i-20000000000002i−2i-222-200000000000000−2i2i00000000
χ242-22-22-222−2i2i-2-22-22-222-2−2i−2i2i2i-2000000000000−2i2i-222-2000000000000002i−2i00000000
χ252-22-2-222200-2-22-22-2-2-2200002002i−2i−2i2i000000002-22-20000002i−2i−2i2i00000000000000
χ262-22-2-222200-2-22-22-2-2-220000200−2i2i2i−2i000000002-22-2000000−2i2i2i−2i00000000000000
χ272-22-2-222200-2-22-22-2-2-22000022-20000-2222-2-200-22-220000-22000000000000000000
χ282-22-2-222200-2-22-22-2-2-2200002-2200002-2-2-22200-22-2200002-2000000000000000000
χ294444441-2441-2-2-211-2111111-222222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ304444441-2441-2-2-211-2111111-2-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ314444441-2-4-41-2-2-211-211-1-1-1-1-222-2-2-2-222-1-1-1-12200000000-1-1111100000000000000
χ324444441-2-4-41-2-2-211-211-1-1-1-1-2-2-22222-2-21111220000000011-1-1-1-100000000000000
χ33444444-2144-2111-2-21-2-2-2-2-2-210000000000001100002222000000-1-1-1-1000000-1-100
χ34444444-2144-2111-2-21-2-2-2-2-2-21000000000000110000-2-2-2-200000011110000001100
χ35444444-21-4-4-2111-2-21-2-222221000000000000-1-1000022-2-20000001111000000-1-100
χ36444444-21-4-4-2111-2-21-2-222221000000000000-1-10000-2-222000000-1-1-1-10000001100
χ374444-4-41-2001-2-2-2112-1-13-33-32222-22-2-2-2-1-1-1-1000000000011-11-1100000000000000
χ384444-4-41-2001-2-2-2112-1-13-33-32-2-2-22-222211110000000000-1-11-11-100000000000000
χ394444-4-41-2001-2-2-2112-1-1-33-33222-22-22-2-2-1-1-1-10000000000111-11-100000000000000
χ404444-4-41-2001-2-2-2112-1-1-33-332-2-22-22-22211110000000000-1-1-11-1100000000000000
χ4144-4-4004400-4-4-44-440000000000000000000000000000000000000000002-22-20000
χ4244-4-4004400-4-4-44-44000000000000000000000000000000000000000000-22-220000
χ434-44-44-41-24i−4i-12-221-1-21-1ii−i−i22-22i2i−2i−2i2-2-1-111−2i2i00000000-11−i−iii00000000000000
χ444-44-44-41-24i−4i-12-221-1-21-1ii−i−i2-22−2i−2i2i2i-2211-1-1−2i2i000000001-1ii−i−i00000000000000
χ454-44-44-41-2−4i4i-12-221-1-21-1−i−iii22-2−2i−2i2i2i2-2-1-1112i−2i00000000-11ii−i−i00000000000000
χ464-44-44-41-2−4i4i-12-221-1-21-1−i−iii2-222i2i−2i−2i-2211-1-12i−2i000000001-1−i−iii00000000000000
χ474-44-44-4-214i−4i2-11-1-221-22−2i−2i2i2i-1000000000000i−i00002-22i−2i000000−i−iii000000-1100
χ484-44-44-4-214i−4i2-11-1-221-22−2i−2i2i2i-1000000000000i−i0000-22−2i2i000000ii−i−i0000001-100
χ494-44-44-4-21−4i4i2-11-1-221-222i2i−2i−2i-1000000000000−ii00002-2−2i2i000000ii−i−i000000-1100
χ504-44-44-4-21−4i4i2-11-1-221-222i2i−2i−2i-1000000000000−ii0000-222i−2i000000−i−iii0000001-100
χ514-44-4-441-200-12-221-12-113i−3i−3i3i-22-22i−2i−2i2i-22-1-11100000000001-1−iii−i00000000000000
χ524-44-4-441-200-12-221-12-113i−3i−3i3i-2-22−2i2i2i−2i2-211-1-10000000000-11i−i−ii00000000000000
χ534-44-4-441-200-12-221-12-11−3i3i3i−3i-22-2−2i2i2i−2i-22-1-11100000000001-1i−i−ii00000000000000
χ544-44-4-441-200-12-221-12-11−3i3i3i−3i-2-222i−2i−2i2i2-211-1-10000000000-11−iii−i00000000000000
χ554-4-4400440044-4-4-4-40000000000000000000000000000000000000000002i−2i−2i2i0000
χ564-4-4400440044-4-4-4-4000000000000000000000000000000000000000000−2i2i2i−2i0000
χ578888-8-8-4200-4222-4-4-2440000-2000000000000000000000000000000000000000000
χ5888-8-8002-400-244-4-220000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5988-8-8002-400-244-4-2200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ6088-8-800-42004-2-224-4000000000000000000000000000000000000i6−i6i6−i60000000000
χ6188-8-800-42004-2-224-4000000000000000000000000000000000000−i6i6−i6i60000000000
χ628-88-8-88-42004-22-2-44-24-400002000000000000000000000000000000000000000000
χ638-8-88002-4002-444-2-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ648-8-88002-4002-444-2-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ658-8-8800-4200-42-2-2440000000000000000000000000000000000006−6−660000000000
χ668-8-8800-4200-42-2-244000000000000000000000000000000000000−666−60000000000

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