Finite Group Databasebeta

← Group #11787754

Character table — Group #11787754

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222443344666666121212121212121222444444121212121212224422668812121212242424244444446688
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-111-1-1
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
χ511111111-1-11111111-1-1-1-11111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-11111111-1-1-1-11111111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ711111111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ91-11-11-111i−i-11-1-11-11ii−i−i1-1-11-11-1ii−i−i11-1-1i−i1-1-111-11-1i−iii−i−iii−i−ii−iii−i−i1-11-1
χ101-11-11-111i−i-11-1-11-11ii−i−i1-1-11-11-1ii−i−i11-1-1i−i1-1-11-111-1−iiii−i−i−i−iiii−i−i−iii-11-11
χ111-11-11-111i−i-11-1-11-11ii−i−i1-1-1-11-11−i−iii-1-111i−i1-1-111-1-11i−i−i−iiiii−i−ii−i−i−iii1-1-11
χ121-11-11-111i−i-11-1-11-11ii−i−i1-1-1-11-11−i−iii-1-111i−i1-1-11-11-11−ii−i−iii−i−iiii−iii−i−i-111-1
χ131-11-11-111−ii-11-1-11-11−i−iii1-1-11-11-1−i−iii11-1-1−ii1-1-111-11-1−ii−i−iii−i−iii−ii−i−iii1-11-1
χ141-11-11-111−ii-11-1-11-11−i−iii1-1-11-11-1−i−iii11-1-1−ii1-1-11-111-1i−i−i−iiiii−i−i−iiii−i−i-11-11
χ151-11-11-111−ii-11-1-11-11−i−iii1-1-1-11-11ii−i−i-1-111−ii1-1-111-1-11−iiii−i−i−i−iii−iiii−i−i1-1-11
χ161-11-11-111−ii-11-1-11-11−i−iii1-1-1-11-11ii−i−i-1-111−ii1-1-11-11-11i−iii−i−iii−i−i−ii−i−iii-111-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-22222222-2-2-2-2222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22200222222-20000-2-2-200002-22-200000022-2-20000002-22-200000000000000
χ202222-2-22200222222-20000-2-2-20000-22-2200000022-2-2000000-22-2200000000000000
χ212222-2-22200222222-20000-2-2-222-2-20000-2-2-2-200-2-222002200000000000000000000
χ222222-2-22200222222-20000-2-2-2-2-2220000222200-2-22200-2-200000000000000000000
χ232-22-22-2222i−2i-22-2-22-222i2i−2i−2i2-2-20000000000002i−2i-222-200000000000000−2i2i00000000
χ242-22-22-222−2i2i-22-2-22-22−2i−2i2i2i2-2-2000000000000−2i2i-222-2000000000000002i−2i00000000
χ252-22-2-222200-22-2-22-2-20000-22200002i−2i−2i2i0000002-22-20000002i−2i−2i2i00000000000000
χ262-22-2-222200-22-2-22-2-20000-2220000−2i2i2i−2i0000002-22-2000000−2i2i2i−2i00000000000000
χ272-22-2-222200-22-2-22-2-20000-2222-2-220000-2-22200-22-22002-200000000000000000000
χ282-22-2-222200-22-2-22-2-20000-222-222-2000022-2-200-22-2200-2200000000000000000000
χ294444441-244-2-21-211-2111111-222222222-1-1-1-1-2-2000000-1-100-1-1-1-100000000000000
χ304444441-244-2-21-211-2111111-2-2-2-2-2-2-2-2-21111-2-20000001100111100000000000000
χ314444441-2-4-4-2-21-211-2-1-1-1-111-22222-2-2-2-2-1-1-1-122000000-1-100111100000000000000
χ324444441-2-4-4-2-21-211-2-1-1-1-111-2-2-2-2-222221111220000001100-1-1-1-100000000000000
χ33444444-214411-21-2-21-2-2-2-2-2-210000000000001100002200220000-1-1-1-1000000-1-100
χ34444444-214411-21-2-21-2-2-2-2-2-21000000000000110000-2-200-2-2000011110000001100
χ35444444-21-4-411-21-2-212222-2-21000000000000-1-100002200-2-200001111000000-1-100
χ36444444-21-4-411-21-2-212222-2-21000000000000-1-10000-2-200220000-1-1-1-10000001100
χ374444-4-41-200-2-21-21123-33-3-1-1222-2-22-22-2111100000000-1-100-11-1100000000000000
χ384444-4-41-200-2-21-21123-33-3-1-12-2-222-22-22-1-1-1-10000000011001-11-100000000000000
χ394444-4-41-200-2-21-2112-33-33-1-1222-2-2-22-22111100000000-1-1001-11-100000000000000
χ404444-4-41-200-2-21-2112-33-33-1-12-2-2222-22-2-1-1-1-1000000001100-11-1100000000000000
χ4144-4-4004400-4-444-4-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4244-4-4004400-4-444-4-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ434-44-44-41-24i−4i2-2-121-1-2ii−i−i1-122-22-22i2i−2i−2i-1-111−2i2i000000-1100−i−iii00000000000000
χ444-44-44-41-24i−4i2-2-121-1-2ii−i−i1-12-22-22−2i−2i2i2i11-1-1−2i2i0000001-100ii−i−i00000000000000
χ454-44-44-41-2−4i4i2-2-121-1-2−i−iii1-122-22-2−2i−2i2i2i-1-1112i−2i000000-1100ii−i−i00000000000000
χ464-44-44-41-2−4i4i2-2-121-1-2−i−iii1-12-22-222i2i−2i−2i11-1-12i−2i0000001-100−i−iii00000000000000
χ474-44-44-4-214i−4i-112-1-221−2i−2i2i2i-22-1000000000000i−i00002-2002i−2i0000−i−iii000000-1100
χ484-44-44-4-214i−4i-112-1-221−2i−2i2i2i-22-1000000000000i−i0000-2200−2i2i0000ii−i−i0000001-100
χ494-44-44-4-21−4i4i-112-1-2212i2i−2i−2i-22-1000000000000−ii00002-200−2i2i0000ii−i−i000000-1100
χ504-44-44-4-21−4i4i-112-1-2212i2i−2i−2i-22-1000000000000−ii0000-22002i−2i0000−i−iii0000001-100
χ514-44-4-441-2002-2-121-123i−3i−3i3i-11-22-2-222i−2i−2i2i11-1-100000000-1100−iii−i00000000000000
χ524-44-4-441-2002-2-121-123i−3i−3i3i-11-2-222-2−2i2i2i−2i-1-111000000001-100i−i−ii00000000000000
χ534-44-4-441-2002-2-121-12−3i3i3i−3i-11-22-2-22−2i2i2i−2i11-1-100000000-1100i−i−ii00000000000000
χ544-44-4-441-2002-2-121-12−3i3i3i−3i-11-2-222-22i−2i−2i2i-1-111000000001-100−iii−i00000000000000
χ554-4-440044004-4-4-4-440000000000000000000000000000000000000000002-2-220000
χ564-4-440044004-4-4-4-44000000000000000000000000000000000000000000-222-20000
χ578888-8-8-420022-42-4-4-2000044-2000000000000000000000000000000000000000000
χ5888-8-8002-400442-4-2-2000000000000000023−2323−23000000000000000000000000000000
χ5988-8-8002-400442-4-2-20000000000000000−2323−2323000000000000000000000000000000
χ6088-8-800-4200-2-2-4244000000000000000000000000000000000000i6−i6i6−i60000000000
χ6188-8-800-4200-2-2-4244000000000000000000000000000000000000−i6i6−i6i60000000000
χ628-88-8-88-4200-224-2-44-200004-42000000000000000000000000000000000000000000
χ638-8-88002-400-44-24-22000000000000000023−23−2323000000000000000000000000000000
χ648-8-88002-400-44-24-220000000000000000−232323−23000000000000000000000000000000
χ658-8-8800-42002-24-24-40000000000000000000000000000000000006−6−660000000000
χ668-8-8800-42002-24-24-4000000000000000000000000000000000000−666−60000000000

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