Finite Group Databasebeta

← Group #11775587

Character table — Group #11775587

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222222233666666666666666666666644442244444466661212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111-1-1-1-111111-1-1111111-1-1111-1-1-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1iiii−i−i−i−i
χ6111111-1-1-1-111111-1-1111111-1-1111-1-1-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−i−i−i−iiiii
χ7111111-1-1-1-111111-1-1111111-1-1111-1-1-1-1-1-111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−i−i−i−iiiii
χ8111111-1-1-1-111111-1-1111111-1-1111-1-1-1-1-1-111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1iiii−i−i−i−i
χ91111-1-111-1-111111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i11ii−i−iii−i−i
χ101111-1-111-1-111111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii11−i−iii−i−iii
χ111111-1-111-1-111111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i11−i−iii−i−iii
χ121111-1-111-1-111111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii11ii−i−iii−i−i
χ131111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-1111-111-1-1-1-111
χ141111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-1111-1-11-111-111-1-1-1-111-1-11111-1-11-1-1-11111-1-1
χ151111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-111-111-11-1-11-1-11111-1-111-1-1-1-1111-1-1-11111-1-1
χ161111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-111-111-1-111-1-1-11111-1-1-1-11111-1-11-111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-222222-2-2222222-2-2222-2-2-2-2-2-2-2-222000000000000000000000000-2200000000
χ192222-2-222-2-222222-2-222-2-2-2-2-2-22-2-22222-2-22222000000000000000000000000-2-200000000
χ202222-2-2-2-222222222222-2-2-2-2222-2-2-2-2-2-22222-2-2000000000000000000000000-2200000000
χ212-22-22-22-22-2222-2-222-2-222-2-2-2-222-22-22-22-2000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ222-22-22-22-22-2222-2-222-2-222-2-2-2-222-22-22-22-2000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ232-22-22-2-22-22222-2-2-2-2-2-222-2-22222-2-22-22-220000000000000000000000000000002−22−2−22−22
χ242-22-22-2-22-22222-2-2-2-2-2-222-2-22222-2-22-22-22000000000000000000000000000000−22−222−22−2
χ252-22-2-222-2-22222-2-2-2-2-2-2-2-222222-222-22-2-220000000000000000000000000000002−2−222−2−22
χ262-22-2-222-2-22222-2-2-2-2-2-2-2-222222-222-22-2-22000000000000000000000000000000−222−2−222−2
χ272-22-2-22-222-2222-2-222-2-2-2-222-2-22-22-22-222-2000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ282-22-2-22-222-2222-2-222-2-2-2-222-2-22-22-22-222-2000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ2944444444441-211111-2-2-2-2-2-211-21111-2-2-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ3044444444441-211111-2-2-2-2-2-211-21111-2-2-2-200000000-2-2-2-200000000111111110000000000
χ314444444444-21-2-2-2-2-2111111-2-21-2-2-2-21111000022220000-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-2-2-2-2-2111111-2-21-2-2-2-211110000-2-2-2-2000011111111000000000000000000
χ33444444-4-4-4-41-2111-1-1-2-2-2-2-2-2-1-1-211-1-12222000000002i2i−2i−2i00000000−i−i−i−iiiii0000000000
χ34444444-4-4-4-41-2111-1-1-2-2-2-2-2-2-1-1-211-1-1222200000000−2i−2i2i2i00000000iiii−i−i−i−i0000000000
χ35444444-4-4-4-4-21-2-2-222111111221-2-222-1-1-1-1000022-2-20000-1-1-1-11111000000000000000000
χ36444444-4-4-4-4-21-2-2-222111111221-2-222-1-1-1-10000-2-22200001111-1-1-1-1000000000000000000
χ374444-4-444-4-41-2111-1-1-2-22222-1-1-2-1-111-2-222000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ384444-4-444-4-41-2111-1-1-2-22222-1-1-2-1-111-2-22200000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ394444-4-444-4-4-21-2-2-22211-1-1-1-122122-2-211-1-100002-22-20000-1-111-1-111000000000000000000
χ404444-4-444-4-4-21-2-2-22211-1-1-1-122122-2-211-1-10000-22-22000011-1-111-1-1000000000000000000
χ414444-4-4-4-4441-211111-2-2222211-2-1-1-1-122-2-2000000002-2-2200000000-1-11111-1-10000000000
χ424444-4-4-4-4441-211111-2-2222211-2-1-1-1-122-2-200000000-222-20000000011-1-1-1-1110000000000
χ434444-4-4-4-444-21-2-2-2-2-211-1-1-1-1-2-212222-1-11100002-2-220000-1-11111-1-1000000000000000000
χ444444-4-4-4-444-21-2-2-2-2-211-1-1-1-1-2-212222-1-1110000-222-2000011-1-1-1-111000000000000000000
χ4544-4-400000044-44-4004-4000000-400000000004i−4i0000000000000000000000000000000000
χ4644-4-400000044-44-4004-4000000-40000000000−4i4i0000000000000000000000000000000000
χ474-44-44-44-44-41-21-1-11122-2-222-1-1-21-11-1-22-22000000000000000000003−33−33−33−30000000000
χ484-44-44-44-44-41-21-1-11122-2-222-1-1-21-11-1-22-2200000000000000000000−33−33−33−330000000000
χ494-44-44-44-44-4-21-222-2-2-1-111-1-1221-22-221-11-1000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ504-44-44-44-44-4-21-222-2-2-1-111-1-1221-22-221-11-1000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ514-44-44-4-44-441-21-1-1-1-122-2-22211-21-1-112-22-200000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ524-44-44-4-44-441-21-1-1-1-122-2-22211-21-1-112-22-200000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ534-44-44-4-44-44-21-22222-1-111-1-1-2-21-222-2-11-11000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ544-44-44-4-44-44-21-22222-1-111-1-1-2-21-222-2-11-11000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ554-44-4-444-4-441-21-1-1-1-12222-2-211-2-111-1-222-200000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ564-44-4-444-4-441-21-1-1-1-12222-2-211-2-111-1-222-200000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ574-44-4-444-4-44-21-22222-1-1-1-111-2-212-2-221-1-11000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ584-44-4-444-4-44-21-22222-1-1-1-111-2-212-2-221-1-11000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ594-44-4-44-444-41-21-1-1112222-2-2-1-1-2-11-112-2-22000000000000000000003−3−33−333−30000000000
χ604-44-4-44-444-41-21-1-1112222-2-2-1-1-2-11-112-2-2200000000000000000000−333−33−3−330000000000
χ614-44-4-44-444-4-21-222-2-2-1-1-1-1112212-22-2-111-1000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ624-44-4-44-444-4-21-222-2-2-1-1-1-1112212-22-2-111-1000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ634-4-4400000044-4-4400-44000000-4000000004-4000000000000000000000000000000000000
χ644-4-4400000044-4-4400-44000000-400000000-44000000000000000000000000000000000000
χ6588-8-80000002-4-22-26-6-4400006-640000000000000000000000000000000000000000000000
χ6688-8-80000002-4-22-2-66-440000-6640000000000000000000000000000000000000000000000
χ6788-8-8000000-424-44002-26-66-600-20000000000000000000000000000000000000000000000
χ6888-8-8000000-424-44002-2-66-6600-20000000000000000000000000000000000000000000000
χ698-8-880000002-4-2-226-64-40000-6640000000000000000000000000000000000000000000000
χ708-8-880000002-4-2-22-664-400006-640000000000000000000000000000000000000000000000
χ718-8-88000000-4244-400-226-6-6600-20000000000000000000000000000000000000000000000
χ728-8-88000000-4244-400-22-666-600-20000000000000000000000000000000000000000000000

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