Finite Group Databasebeta

← Group #11786709

Character table — Group #11786709

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order12224422336666666666121212124444444412121212662244448812121212121224242424444444121288
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
χ5111111-1-111111111-1-1-1-111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111-1-111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ7111111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ8111111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111
χ91-11-11-11-111-111-1-1-111-1-111-1-1i−ii−iii−i−iii−i−i1-1-11-11i−ii−ii−iii−i−iii−i−i1-111-1-1i−i1-1
χ101-11-11-11-111-111-1-1-111-1-111-1-1i−ii−iii−i−iii−i−i1-1-11-11−ii−iii−iii−i−i−i−iii1-1-1-111−ii-11
χ111-11-11-11-111-111-1-1-111-1-111-1-1−ii−ii−i−iii−i−iii1-1-11-11i−ii−i−ii−i−iiiii−i−i1-1-1-111i−i-11
χ121-11-11-11-111-111-1-1-111-1-111-1-1−ii−ii−i−iii−i−iii1-1-11-11−ii−ii−ii−i−iii−i−iii1-111-1-1−ii1-1
χ131-11-11-1-1111-111-1-1-1-1-11111-1-1i−ii−i−i−iiiii−i−i-11-11-11i−i−iii−i−i−iii−i−iii-11-1-111i−i1-1
χ141-11-11-1-1111-111-1-1-1-1-11111-1-1i−ii−i−i−iiiii−i−i-11-11-11−iii−ii−i−i−iiiii−i−i-1111-1-1−ii-11
χ151-11-11-1-1111-111-1-1-1-1-11111-1-1−ii−iiii−i−i−i−iii-11-11-11i−i−ii−iiii−i−i−i−iii-1111-1-1i−i-11
χ161-11-11-1-1111-111-1-1-1-1-11111-1-1−ii−iiii−i−i−i−iii-11-11-11−iii−i−iiii−i−iii−i−i-11-1-111−ii1-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-2-222222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-200222222220000-2-2-2-200002-22-200000022-2-20000002-22-200000000000000
χ202222-2-200222222220000-2-2-2-20000-22-2200000022-2-2000000-22-2200000000000000
χ212222-2-200222222220000-2-2-2-222-2-20000-2-2-2-200-2-222000022000000000000000000
χ222222-2-200222222220000-2-2-2-2-2-2220000222200-2-2220000-2-2000000000000000000
χ232-22-22-22-222-222-2-2-222-2-222-2-20000000000002-22-22-200000000000000-2200000000
χ242-22-22-2-2222-222-2-2-2-2-22222-2-2000000000000-222-22-2000000000000002-200000000
χ252-22-2-220022-222-2-2-20000-2-22200002i−2i−2i2i000000-222-20000002i−2i−2i2i00000000000000
χ262-22-2-220022-222-2-2-20000-2-2220000−2i2i2i−2i000000-222-2000000−2i2i2i−2i00000000000000
χ272-22-2-220022-222-2-2-20000-2-2222i−2i−2i2i0000−2i−2i2i2i002-2-2200002i−2i000000000000000000
χ282-22-2-220022-222-2-2-20000-2-222−2i2i2i−2i00002i2i−2i−2i002-2-220000−2i2i000000000000000000
χ29444444441-211-2-21-2-2-2-2-21-2-210000000000001100002222000000-1-1-1-1000000-1-100
χ30444444441-211-2-21-2-2-2-2-21-2-21000000000000110000-2-2-2-200000011110000001100
χ3144444444-21-2-211-211111-211-222222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ3244444444-21-2-211-211111-211-2-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ33444444-4-41-211-2-21-222221-2-21000000000000-1-1000022-2-20000001111000000-1-100
χ34444444-4-41-211-2-21-222221-2-21000000000000-1-10000-2-222000000-1-1-1-10000001100
χ35444444-4-4-21-2-211-21-1-1-1-1-211-22222-2-2-2-2-1-1-1-12200000000-1-1111100000000000000
χ36444444-4-4-21-2-211-21-1-1-1-1-211-2-2-2-2-222221111220000000011-1-1-1-100000000000000
χ374444-4-400-21-2-211-213-33-32-1-1222-2-22-22-211110000000000-1-1-11-1100000000000000
χ384444-4-400-21-2-211-213-33-32-1-12-2-222-22-22-1-1-1-10000000000111-11-100000000000000
χ394444-4-400-21-2-211-21-33-332-1-1222-2-2-22-2211110000000000-1-11-11-100000000000000
χ404444-4-400-21-2-211-21-33-332-1-12-2-2222-22-2-1-1-1-1000000000011-11-1100000000000000
χ4144-4-40000444-4-44-4-40000000000000000000000000000000000000000002-22-20000
χ4244-4-40000444-4-44-4-4000000000000000000000000000000000000000000-22-220000
χ434-44-44-44-41-2-11-22-12-2-2221-22-10000000000001-100002i−2i2i−2i000000−i−iii000000−ii00
χ444-44-44-44-41-2-11-22-12-2-2221-22-10000000000001-10000−2i2i−2i2i000000ii−i−i000000i−i00
χ454-44-44-44-4-212-21-12-111-1-1-21-122i−2i2i−2i2i2i−2i−2i−i−iii-2200000000−ii−i−iii00000000000000
χ464-44-44-44-4-212-21-12-111-1-1-21-12−2i2i−2i2i−2i−2i2i2iii−i−i-2200000000i−iii−i−i00000000000000
χ474-44-44-4-441-2-11-22-1222-2-21-22-1000000000000-1100002i−2i−2i2i000000ii−i−i000000−ii00
χ484-44-44-4-441-2-11-22-1222-2-21-22-1000000000000-110000−2i2i2i−2i000000−i−iii000000i−i00
χ494-44-44-4-44-212-21-12-1-1-111-21-122i−2i2i−2i−2i−2i2i2i−i−iii2-200000000−iiii−i−i00000000000000
χ504-44-44-4-44-212-21-12-1-1-111-21-12−2i2i−2i2i2i2i−2i−2iii−i−i2-200000000i−i−i−iii00000000000000
χ514-44-4-4400-212-21-12-13-3-332-11-22i−2i−2i2i2i−2i−2i2iii−i−i0000000000−ii−iii−i00000000000000
χ524-44-4-4400-212-21-12-13-3-332-11-2−2i2i2i−2i−2i2i2i−2i−i−iii0000000000i−ii−i−ii00000000000000
χ534-44-4-4400-212-21-12-1-333-32-11-22i−2i−2i2i−2i2i2i−2iii−i−i0000000000−iii−i−ii00000000000000
χ544-44-4-4400-212-21-12-1-333-32-11-2−2i2i2i−2i2i−2i−2i2i−i−iii0000000000i−i−iii−i00000000000000
χ554-4-44000044-4-4-4-4440000000000000000000000000000000000000000002-2-220000
χ564-4-44000044-4-4-4-444000000000000000000000000000000000000000000-222-20000
χ578888-8-8002-422-4-42-40000-244-2000000000000000000000000000000000000000000
χ5888-8-800002-42-24-4-240000000000000000000000000000000000006−66−60000000000
χ5988-8-800002-42-24-4-24000000000000000000000000000000000000−66−660000000000
χ6088-8-80000-42-44-224-2000000000000000023−2323−23000000000000000000000000000000
χ6188-8-80000-42-44-224-20000000000000000−2323−2323000000000000000000000000000000
χ628-88-8-88002-4-22-44-240000-24-42000000000000000000000000000000000000000000
χ638-8-8800002-4-2-2442-4000000000000000000000000000000000000i6−i6−i6i60000000000
χ648-8-8800002-4-2-2442-4000000000000000000000000000000000000−i6i6i6−i60000000000
χ658-8-880000-4244-2-2-420000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ668-8-880000-4244-2-2-4200000000000000002i3−2i3−2i32i3000000000000000000000000000000

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