Finite Group Databasebeta

← Group #11889779

Character table — Group #11889779

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242422244444121212121212121212122224666881212122424242448861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-11111111111111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1-1-111-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-11-1-1-111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-11-1-1-111-1-1-111111-11-1-111-1-1-111-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111111-111-111-1-1-111111-1-11-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-11-1-11-1-1111-1-1-1-11-1-1-11-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-111-1-11-1-1-1-1-11-111-1-111-1111-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111-1-111111-1111-1-1111-1111-1-11-1-1-1-1-1-11-1-11-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-11-1-1-111111-1111-1-1-1-1-1111-1-11-1-1-1-1-111-111-11-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1111-1-1-1-11-1-1-111-111111-1-1-1111-1-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-11-1-1-111-11111111-1-1-111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-200-222-2-2000000220000200-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-2-2002-2-222000000-2-20000200-20000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22200-222-2-2000000-2-20000-20020000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22002-2-222000000220000-2002000000-2000000
χ2122222-122-122-1-12-1-1-1-122-122-1222222-1-122-1-1-1-1-1-1002020000000-1-1-1-1-1-1002200-102-10000-1-1000-1-100
χ2222222-122-122-1-12-1-1-1-122-122-1222222-1-122-1-1-1-1-1-100-20-20000000-1-1-1-1-1-100-2-20010-210000110001100
χ2322222-122-122-1-12-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100202000000011111100-2-200-102-10000-1-10001100
χ2422222-122-122-1-12-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100-20-2000000011111100220010-21000011000-1-100
χ2522222-122-122-1-12-1-1-1-1-2-2-122-12-222-2-2-1-1-2-2111111002020000000-1111-1-100-2200-10-2-10000110001-100
χ2622222-122-122-1-12-1-1-1-1-2-2-122-12-222-2-2-1-1-2-211111100-20-20000000-1111-1-1002-20010210000-1-1000-1100
χ2722222-122-122-1-12-1-1-1-1-2-2-122-1-22-2-222-1-1-2-21111110020200000001-1-1-111002-200-10-2-1000011000-1100
χ2822222-122-122-1-12-1-1-1-1-2-2-122-1-22-2-222-1-1-2-211111100-20-200000001-1-1-11100-220010210000-1-10001-100
χ292222-12222-1-122-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-122020222-1-1-1-122-1-1-1-10000-1-10200-1-1-1-1000000000
χ302222-12222-1-122-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-2-20-20-2-2-2111122-1-1-1-10000110-2001111000000000
χ312222-12222-1-122-1-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-1220-2022-21111-2-211110000-1-10-200-1-111000000000
χ322222-12222-1-122-1-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-1-2-2020-2-22-1-1-1-1-2-21111000011020011-1-1000000000
χ332222-12222-1-122-1-1-1-1-1-2-22-1-122-2-1-111-1-111-2-21111220-20-2-2-211112-211-1-10000-1-1020011-1-1000000000
χ342222-12222-1-122-1-1-1-1-1-2-22-1-122-2-1-111-1-111-2-21111-2-2020222-1-1-1-12-211-1-10000110-200-1-111000000000
χ352222-12222-1-122-1-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-2111122020-2-22-1-1-1-1-22-1-1110000-1-10-2001111000000000
χ362222-12222-1-122-1-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-21111-2-20-2022-21111-22-1-1110000110200-1-1-1-1000000000
χ372-22-2222-2-22-22-2-22-2-222i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i2-20002i−2i0000000000000002-200002i−2i00000000000
χ382-22-2222-2-22-22-2-22-2-222i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i-22000−2i2i000000000000000-220000−2i2i00000000000
χ392-22-2222-2-22-22-2-22-2-22−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i2-2000−2i2i0000000000000002-20000−2i2i00000000000
χ402-22-2222-2-22-22-2-22-2-22−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i-220002i−2i000000000000000-2200002i−2i00000000000
χ412-22-2-122-2-2-112-21-111-12i−2i21-1-200−i3i33−3-11−ii2i−2i−i−iii2-20002i−2i03−33−3003−3−i3i30000-110000−ii−i3i3000000000
χ422-22-2-122-2-2-112-21-111-12i−2i21-1-200−i3i33−3-11−ii2i−2i−i−iii-22000−2i2i0−33−33003−3−i3i300001-10000i−ii3−i3000000000
χ432-22-2-122-2-2-112-21-111-12i−2i21-1-200i3−i3−33-11−ii2i−2i−i−iii2-20002i−2i0−33−3300−33i3−i30000-110000−iii3−i3000000000
χ442-22-2-122-2-2-112-21-111-12i−2i21-1-200i3−i3−33-11−ii2i−2i−i−iii-22000−2i2i03−33−300−33i3−i300001-10000i−i−i3i3000000000
χ452-22-2-122-2-2-112-21-111-1−2i2i21-1-200−i3i3−33-11i−i−2i2iii−i−i2-2000−2i2i0−33−3300−33−i3i30000-110000i−i−i3i3000000000
χ462-22-2-122-2-2-112-21-111-1−2i2i21-1-200−i3i3−33-11i−i−2i2iii−i−i-220002i−2i03−33−300−33−i3i300001-10000−iii3−i3000000000
χ472-22-2-122-2-2-112-21-111-1−2i2i21-1-200i3−i33−3-11i−i−2i2iii−i−i2-2000−2i2i03−33−3003−3i3−i30000-110000i−ii3−i3000000000
χ482-22-2-122-2-2-112-21-111-1−2i2i21-1-200i3−i33−3-11i−i−2i2iii−i−i-220002i−2i0−33−33003−3i3−i300001-10000−ii−i3i3000000000
χ4944444-2-4-4-244-2-24-2-2-2-2002-4-4200000022000000000040-40000000000000000000-20020000000000000
χ5044444-2-4-4-244-2-24-2-2-2-2002-4-42000000220000000000-4040000000000000000000200-20000000000000
χ514444-24-4-44-2-244-2-2-2-2-200-422-400000022000000000004000-4-2-22200000000000000000000000000000
χ524444-24-4-44-2-244-2-2-2-2-200-422-40000002200000000000-4000422-2-200000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-22-1-11100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-211-1-100000000000000000000000
χ5744-4-444004-44-4-4-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ5844-4-444004-44-4-4-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ594-44-444-44-44-44-4-44-4-4400-44-44000000-440000000000000000000000000000000000000000000000000
χ604-44-44-24-424-4-22-4-222-24i−4i-2-442000000-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ614-44-44-24-424-4-22-4-222-2−4i4i-2-442000000-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ624-44-44-2-4424-4-22-4-222-20024-4-20000002-20000000000000000000000000000000000000000−2i32i30000000
χ634-44-44-2-4424-4-22-4-222-20024-4-20000002-200000000000000000000000000000000000000002i3−2i30000000
χ644-44-4-24-44-4-224-42-222-200-4-2240000002-2000000000000000023−23−232300000000000000000000000000000
χ654-44-4-24-44-4-224-42-222-200-4-2240000002-20000000000000000−232323−2300000000000000000000000000000
χ664-44-4-2-24-42-22-2221-1-114i−4i-22-2200−2i32i323−231-1−2i2i−2i2iii−i−i00000000000000−33i3−i300000000000000000000000
χ674-44-4-2-24-42-22-2221-1-114i−4i-22-22002i3−2i3−23231-1−2i2i−2i2iii−i−i000000000000003−3−i3i300000000000000000000000
χ684-44-4-2-24-42-22-2221-1-11−4i4i-22-2200−2i32i3−23231-12i−2i2i−2i−i−iii000000000000003−3i3−i300000000000000000000000
χ694-44-4-2-24-42-22-2221-1-11−4i4i-22-22002i3−2i323−231-12i−2i2i−2i−i−iii00000000000000−33−i3i300000000000000000000000
χ704-4-444400-4-4-4-4444-44-400000000000000000000000000000000000000000000000000000000022−220000
χ714-4-444400-4-4-4-4444-44-4000000000000000000000000000000000000000000000000000000000−22220000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-400-4-8844-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-480084-4-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-44-444422-2-200000000000000000032−3232−3200000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-2000000000000000000−3232−323200000000000000000000000000000000000000000
χ778-88-8-4-4-884-44-4442-2-22004-44-4000000-220000000000000000000000000000000000000000000000000
χ788-8-888-4004-8-84-48-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800-844-88-4-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-42-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-42-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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