Finite Group Databasebeta

← Group #11870400

Character table — Group #11870400

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122222233466666666666612124444444412121212612444424441212121212121212121224888861288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1
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
χ5111111-111-111111111-1-111-1-11111-1-1-1-11111-1-111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111-111-111111111-1-111-1-11111-1-1-1-11111-1-11111-111-1-1-1111111-1-1-1-11111-1-1-1-1
χ7111111-111-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1111111-1-1
χ8111111-111-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1111111-1-111-1-1-1-1-1-1-1-111
χ91111-1-1111-1111111-1-111-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-111-1-1-1-111-1111-1-11-11-1
χ101111-1-1111-1111111-1-111-1-1-1-111-1-111-1-111111-1-1-111-1-111-1-1-1-111-1-111-11-1-111-11-11
χ111111-1-1111-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-11111-1-11111-1-111-1-1-11-1-1111-1-11
χ121111-1-1111-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-11111-1-11111-1-1-1111-1-1-111-1
χ131111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111-11-111-1-111-1-1-1-11-1-1-1111-11-1
χ141111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-111-11-111111-1-1-1-1-1-11-111-1-1-11-11
χ151111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1111-11-1-1-1-1-11111111-111-1-11-1-11
χ161111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-11-11-1-111-1-111111-1-1-111-111-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-222-222222222-2-222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-222-2-2-2-20000000000002-222-2-2000000000000002-200000000
χ202222-2-2-2222222222-2-2-2-2-2-222000000000000-2222-2-200000000000000-2200000000
χ212-2-222-20220-22-22-2-22-2002-20000002i−2i2i−2i0000002-22-200002i−2i0000002i−2i0000000000
χ222-2-222-20220-22-22-2-22-2002-2000000−2i2i−2i2i0000002-22-20000−2i2i000000−2i2i0000000000
χ232-2-222-20220-22-22-2-22-2002-2002i−2i2i−2i00002i2i−2i−2i00-22-2200000000002i−2i000000000000
χ242-2-222-20220-22-22-2-22-2002-200−2i2i−2i2i0000−2i−2i2i2i00-22-220000000000−2i2i000000000000
χ252-2-22-220220-22-22-2-2-2200-220000002i−2i−2i2i000000-222-20000−2i2i0000002i−2i0000000000
χ262-2-22-220220-22-22-2-2-2200-22000000−2i2i2i−2i000000-222-200002i−2i000000−2i2i0000000000
χ272-2-22-220220-22-22-2-2-2200-22002i−2i−2i2i00002i2i−2i−2i002-2-220000000000−2i2i000000000000
χ282-2-22-220220-22-22-2-2-2200-2200−2i2i2i−2i0000−2i−2i2i2i002-2-2200000000002i−2i000000000000
χ2944444441-24-211-2-211111-2-21122222222-1-1-1-1-2-200000000-1-10000-1-1-1-10000000000
χ3044444441-24-211-2-211111-2-211-2-2-2-2-2-2-2-21111-2-20000000011000011110000000000
χ314444444-2141-2-211-2-2-2-2-211-2-2000000000000110000222200-1-1-1-10000000000-1-100
χ324444444-2141-2-211-2-2-2-2-211-2-2000000000000110000-2-2-2-200111100000000001100
χ33444444-41-2-4-211-2-2111-1-1-2-2-1-12222-2-2-2-2-1-1-1-12200000000110000-1-1110000000000
χ34444444-41-2-4-211-2-2111-1-1-2-2-1-1-2-2-2-2222211112200000000-1-1000011-1-10000000000
χ35444444-4-21-41-2-211-2-2-2221122000000000000-1-100002-2-220011110000000000-1-100
χ36444444-4-21-41-2-211-2-2-2221122000000000000-1-10000-222-200-1-1-1-100000000001100
χ374444-4-441-2-4-211-2-21-1-11122-1-122-2-222-2-2-1-1-1-1-220000000011000011-1-10000000000
χ384444-4-441-2-4-211-2-21-1-11122-1-1-2-222-2-2221111-2200000000-1-10000-1-1110000000000
χ394444-4-44-21-41-2-211-222-2-2-1-1220000000000001-1000022-2-200-1-1110000000000-1100
χ404444-4-44-21-41-2-211-222-2-2-1-1220000000000001-10000-2-2220011-1-100000000001-100
χ414444-4-4-41-24-211-2-21-1-1-1-1221122-2-2-2-222-1-1-1-12-200000000-1-1000011110000000000
χ424444-4-4-41-24-211-2-21-1-1-1-12211-2-22222-2-211112-200000000110000-1-1-1-10000000000
χ434444-4-4-4-2141-2-211-22222-1-1-2-2000000000000-1100002-22-20011-1-10000000000-1100
χ444444-4-4-4-2141-2-211-22222-1-1-2-2000000000000-110000-22-2200-1-11100000000001-100
χ4544-4-40004404-4-4-4-4400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-40004404-4-4-4-44000000000000000000000000000000000000000000002i2−2i20000
χ474-44-4000440-4-44-44-4000000000000000000000000000000000000000000−2i22i2000000
χ484-44-4000440-4-44-44-40000000000000000000000000000000000000000002i2−2i2000000
χ494-4-444-401-2021-1-22-11-13-3-223-32i−2i2i−2i2i−2i2i−2i−i−iii0000000000−ii0000−ii−ii0000000000
χ504-4-444-401-2021-1-22-11-13-3-223-3−2i2i−2i2i−2i2i−2i2iii−i−i0000000000i−i0000i−ii−i0000000000
χ514-4-444-401-2021-1-22-11-1-33-22-332i−2i2i−2i−2i2i−2i2i−i−iii0000000000i−i0000−iii−i0000000000
χ524-4-444-401-2021-1-22-11-1-33-22-33−2i2i−2i2i2i−2i2i−2iii−i−i0000000000−ii0000i−i−ii0000000000
χ534-4-44-4401-2021-1-22-1-113-32-2-332i−2i−2i2i2i−2i−2i2i−i−iii0000000000i−i0000i−i−ii0000000000
χ544-4-44-4401-2021-1-22-1-113-32-2-33−2i2i2i−2i−2i2i2i−2iii−i−i0000000000−ii0000−iii−i0000000000
χ554-4-44-4401-2021-1-22-1-11-332-23-32i−2i−2i2i−2i2i2i−2i−i−iii0000000000−ii0000i−ii−i0000000000
χ564-4-44-4401-2021-1-22-1-11-332-23-3−2i2i2i−2i2i−2i−2i2iii−i−i0000000000i−i0000−ii−ii0000000000
χ5788-8-80002-40-4-2-24420000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5888-8-80002-40-4-2-244200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ5988-8-8000-420244-2-2-4000000000000000000000000000000000023−2300000000000000
χ6088-8-8000-420244-2-2-40000000000000000000000000000000000−232300000000000000
χ618-88-80002-404-224-4-2000000000000000023−23−2323000000000000000000000000000000
χ628-88-80002-404-224-4-20000000000000000−232323−23000000000000000000000000000000
χ638-88-8000-420-24-4-22400000000000000000000000000000000−2i32i30000000000000000
χ648-88-8000-420-24-4-224000000000000000000000000000000002i3−2i30000000000000000
χ658-8-888-80-420-2-442-24-44002-200000000000000000000000000000000000000000000
χ668-8-88-880-420-2-442-244-400-2200000000000000000000000000000000000000000000

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