Finite Group Databasebeta

← Group #11870398

Character table — Group #11870398

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244223366666666661212121244444444121212126622442444661212121212121212448888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1
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
χ5111111-1-111111111-1-1-1-111111111-1-1-1-11111-1-111111-1-11111111-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-111111111-1-1-1-111111111-1-1-1-11111-1-11111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1111111-1-1-1-1-1-1-1-111
χ8111111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-1-11111-1-1111111-1-1
χ91111-1-11-11111111111-1-1-1-1-1-111-1-111-1-111111-1-1-11111-1-111-1-1-1-111-1-11-111-1-11-11-1
χ101111-1-11-11111111111-1-1-1-1-1-111-1-111-1-111111-1-1-111-1-111-1-1-1-11111-1-11-1-1-111-11-11
χ111111-1-11-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-11111-1-11111-1-1-1-1111-1-1-1111-1-11
χ121111-1-11-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-111-1-11111-1-1111-111-1-1-111-1
χ131111-1-1-1111111111-1-111-1-1-1-111-1-1-1-1111111-11-1-1111-11-111-1-1-1-1-1-111-1111-1-1-11-11
χ141111-1-1-1111111111-1-111-1-1-1-111-1-1-1-1111111-11-1-111-11-11-1-1-1-111-1-111-11-1-1111-11-1
χ151111-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1111-11-11111-1-111-1-1-11-1-111-111-1
χ161111-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-11-11-1-1111111-1-1-1111-1-11-1-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-2-222222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22-22222222222-2-2-2-2-2-20000000000002-222-2-200000000000000-2200000000
χ202222-2-2-2222222222-2-222-2-2-2-2000000000000-2222-2-2000000000000002-200000000
χ212-2-222-20022-22-22-2-200002-22-200002i−2i2i−2i0000002-22-200000000002i−2i2i−2i0000000000
χ222-2-222-20022-22-22-2-200002-22-20000−2i2i−2i2i0000002-22-20000000000−2i2i−2i2i0000000000
χ232-2-222-20022-22-22-2-200002-22-22i−2i2i−2i00002i2i−2i−2i00-22-220000002i−2i0000000000000000
χ242-2-222-20022-22-22-2-200002-22-2−2i2i−2i2i0000−2i−2i2i2i00-22-22000000−2i2i0000000000000000
χ252-2-22-220022-22-22-2-20000-22-2200002i−2i−2i2i000000-222-200000000002i−2i−2i2i0000000000
χ262-2-22-220022-22-22-2-20000-22-220000−2i2i2i−2i000000-222-20000000000−2i2i2i−2i0000000000
χ272-2-22-220022-22-22-2-20000-22-222i−2i−2i2i00002i2i−2i−2i002-2-22000000−2i2i0000000000000000
χ282-2-22-220022-22-22-2-20000-22-22−2i2i2i−2i0000−2i−2i2i2i002-2-220000002i−2i0000000000000000
χ29444444441-2-211-2-21111111-2-222222222-1-1-1-1-2-20000000000-1-100-1-1-1-10000000000
χ30444444441-2-211-2-21111111-2-2-2-2-2-2-2-2-2-21111-2-20000000000110011110000000000
χ3144444444-211-2-211-2-2-2-2-2-2-2110000000000001100002222-1-100-1-10000000000-1-100
χ3244444444-211-2-211-2-2-2-2-2-2-211000000000000110000-2-2-2-211001100000000001100
χ33444444-4-41-2-211-2-21-1-1-1-111-2-22222-2-2-2-2-1-1-1-1220000000000-1-10011110000000000
χ34444444-4-41-2-211-2-21-1-1-1-111-2-2-2-2-2-2222211112200000000001100-1-1-1-10000000000
χ35444444-4-4-211-2-211-22222-2-211000000000000-1-100002-2-22-1-100-1-100000000001100
χ36444444-4-4-211-2-211-22222-2-211000000000000-1-10000-222-21100110000000000-1-100
χ374444-4-44-41-2-211-2-2111-1-1-1-12222-2-222-2-2-1-1-1-1-2200000000001100-1-1110000000000
χ384444-4-44-41-2-211-2-2111-1-1-1-122-2-222-2-2221111-220000000000-1-10011-1-10000000000
χ394444-4-44-4-211-2-211-2-2-22222-1-10000000000001-1000022-2-2-1-100110000000000-1100
χ404444-4-44-4-211-2-211-2-2-22222-1-10000000000001-10000-2-2221100-1-100000000001-100
χ414444-4-4-441-2-211-2-21-1-111-1-12222-2-2-2-222-1-1-1-12-20000000000110011-1-10000000000
χ424444-4-4-441-2-211-2-21-1-111-1-122-2-22222-2-211112-20000000000-1-100-1-1110000000000
χ434444-4-4-44-211-2-211-222-2-222-1-1000000000000-1100002-22-2-1-1001100000000001-100
χ444444-4-4-44-211-2-211-222-2-222-1-1000000000000-110000-22-221100-1-10000000000-1100
χ4544-4-40000444-4-4-4-4400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-40000444-4-4-4-44000000000000000000000000000000000000000000002i2−2i20000
χ474-44-4000044-4-44-44-4000000000000000000000000000000000000000000−2i22i2000000
χ484-44-4000044-4-44-44-40000000000000000000000000000000000000000002i2−2i2000000
χ494-4-444-4001-221-1-22-13-33-31-1-222i−2i2i−2i2i−2i2i−2i−i−iii000000000000−ii00−ii−ii0000000000
χ504-4-444-4001-221-1-22-13-33-31-1-22−2i2i−2i2i−2i2i−2i2iii−i−i000000000000i−i00i−ii−i0000000000
χ514-4-444-4001-221-1-22-1-33-331-1-222i−2i2i−2i−2i2i−2i2i−i−iii000000000000−ii00i−ii−i0000000000
χ524-4-444-4001-221-1-22-1-33-331-1-22−2i2i−2i2i2i−2i2i−2iii−i−i000000000000i−i00−ii−ii0000000000
χ534-4-44-44001-221-1-22-13-3-33-112-22i−2i−2i2i2i−2i−2i2i−i−iii000000000000i−i00−iii−i0000000000
χ544-4-44-44001-221-1-22-13-3-33-112-2−2i2i2i−2i−2i2i2i−2iii−i−i000000000000−ii00i−i−ii0000000000
χ554-4-44-44001-221-1-22-1-333-3-112-22i−2i−2i2i−2i2i2i−2i−i−iii000000000000i−i00i−i−ii0000000000
χ564-4-44-44001-221-1-22-1-333-3-112-2−2i2i2i−2i2i−2i−2i2iii−i−i000000000000−ii00−iii−i0000000000
χ5788-8-800002-4-4-2-24420000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5888-8-800002-4-4-2-244200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ5988-8-80000-42244-2-2-4000000000000000000000000000000000023−2300000000000000
χ6088-8-80000-42244-2-2-40000000000000000000000000000000000−232300000000000000
χ618-88-800002-44-224-4-2000000000000000023−23−2323000000000000000000000000000000
χ628-88-800002-44-224-4-20000000000000000−232323−23000000000000000000000000000000
χ638-88-80000-42-24-4-224000000000000000000000000000000−2i32i3000000000000000000
χ648-88-80000-42-24-4-2240000000000000000000000000000002i3−2i3000000000000000000
χ658-8-888-800-42-2-442-240000-442-2000000000000000000000000000000000000000000
χ668-8-88-8800-42-2-442-2400004-4-22000000000000000000000000000000000000000000

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