Finite Group Databasebeta

← Group #10594006

Character table — Group #10594006

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order122244443366666612121212121212123446661212121212121212121212121212121212121212222244442244666666661212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1
χ61111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-1111-1-1-1-11111-1-1-1-111-1-1-1-111
χ71111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-11-1
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111-11
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-11
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111111-1-111-1-11-1
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111-1-11111-1-111-1-1-1-111-1-1-11
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-111-1-1-1-111-1-1111111-1-1-11
χ17222222222-122-1-12-12222-1-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002202020000-1-1-1-10000-1-1-1-1000000
χ18222222222-122-1-12-12222-1-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20-20-20000111100001111000000
χ19222222222-122-1-12-12222-1-1-1-1-1-2-2-1-1-1-2-211-2-211-1-1-1-111111111002200220-20-20000-1-1110000-1-111000000
χ20222222222-122-1-12-12222-1-1-1-1-1-2-2-1-1-1-2-211-2-211-1-1-1-11111111100-2-200-2-20202000011-1-1000011-1-1000000
χ2122222222-12-1-122-12-1-1-1-12222-122-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002020-1-1-1-10000-1-1-1-10000000000
χ2222222222-12-1-122-12-1-1-1-12222-122-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-20-201111000011110000000000
χ2322222222-12-1-122-12-1-1-1-12222-1-2-2-1-1-111-2-211-2-2-1-1-1-11111111122002200-20-20-1-1110000-1-1110000000000
χ2422222222-12-1-122-12-1-1-1-12222-1-2-2-1-1-111-2-211-2-2-1-1-1-111111111-2-200-2-200202011-1-1000011-1-10000000000
χ252222-2-2-2-22-122-1-12-1-2-2-2-21111-12-2-1-1-122-1-1-2-2111111-1-1-1-11111002200-2-20-2020000-1-111000011-1-1000000
χ262222-2-2-2-22-122-1-12-1-2-2-2-21111-12-2-1-1-122-1-1-2-2111111-1-1-1-1111100-2-20022020-2000011-1-10000-1-111000000
χ272222-2-2-2-22-122-1-12-1-2-2-2-21111-1-22-1-1-1-2-21122-1-111111111-1-1-1-1002200-2-2020-20000-1-1-1-100001111000000
χ282222-2-2-2-22-122-1-12-1-2-2-2-21111-1-22-1-1-1-2-21122-1-111111111-1-1-1-100-2-200220-202000011110000-1-1-1-1000000
χ292222-2-2-2-2-12-1-122-121111-2-2-2-2-12-2-1-1-1-1-12211-2-21111-1-1-1-111112200-2-20020-20-1-1-1-1000011110000000000
χ302222-2-2-2-2-12-1-122-121111-2-2-2-2-12-2-1-1-1-1-12211-2-21111-1-1-1-11111-2-2002200-202011110000-1-1-1-10000000000
χ312222-2-2-2-2-12-1-122-121111-2-2-2-2-1-22-1-1-111-2-2-1-12211111111-1-1-1-12200-2-200-2020-1-111000011-1-10000000000
χ322222-2-2-2-2-12-1-122-121111-2-2-2-2-1-22-1-1-111-2-2-1-12211111111-1-1-1-1-2-200220020-2011-1-10000-1-1110000000000
χ3322-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i2002-2-2000000002i2i−2i−2i000000002-2002i−2i0000002-20000002i−2i000000000000
χ3422-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i2002-2-2000000002i2i−2i−2i00000000-2200−2i2i000000-22000000−2i2i000000000000
χ3522-2-22i2i−2i−2i-12-112-21-2−i−iii2i2i−2i−2i-100-111−i3i3003−300−i−iii−i3−i3i3i333−3−32-2002i−2i000000-11−i3i30000−ii3−30000000000
χ3622-2-22i2i−2i−2i-12-112-21-2−i−iii2i2i−2i−2i-100-111−i3i3003−300−i−iii−i3−i3i3i333−3−3-2200−2i2i0000001-1i3−i30000i−i−330000000000
χ3722-2-22i2i−2i−2i-12-112-21-2−i−iii2i2i−2i−2i-100-111i3−i300−3300−i−iiii3i3−i3−i3−3−3332-2002i−2i000000-11i3−i30000−ii−330000000000
χ3822-2-22i2i−2i−2i-12-112-21-2−i−iii2i2i−2i−2i-100-111i3−i300−3300−i−iiii3i3−i3−i3−3−333-2200−2i2i0000001-1−i3i30000i−i3−30000000000
χ3922-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i2002-2-200000000−2i−2i2i2i000000002-200−2i2i0000002-2000000−2i2i000000000000
χ4022-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i2002-2-200000000−2i−2i2i2i00000000-22002i−2i000000-220000002i−2i000000000000
χ4122-2-2−2i−2i2i2i-12-112-21-2ii−i−i−2i−2i2i2i-100-111−i3i300−3300ii−i−i−i3−i3i3i3−3−3332-200−2i2i000000-11−i3i30000i−i−330000000000
χ4222-2-2−2i−2i2i2i-12-112-21-2ii−i−i−2i−2i2i2i-100-111−i3i300−3300ii−i−i−i3−i3i3i3−3−333-22002i−2i0000001-1i3−i30000−ii3−30000000000
χ4322-2-2−2i−2i2i2i-12-112-21-2ii−i−i−2i−2i2i2i-100-111i3−i3003−300ii−i−ii3i3−i3−i333−3−32-200−2i2i000000-11i3−i30000i−i3−30000000000
χ4422-2-2−2i−2i2i2i-12-112-21-2ii−i−i−2i−2i2i2i-100-111i3−i3003−300ii−i−ii3i3−i3−i333−3−3-22002i−2i0000001-1−i3i30000−ii−330000000000
χ452-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i200-22-2000000002i−2i2i−2i00000000002-2002i−2i000000002-20000002i−2i00000000
χ462-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i200-22-2000000002i−2i2i−2i0000000000-2200−2i2i00000000-22000000−2i2i00000000
χ472-22-22i−2i2i−2i2-1-221-1-212i−2i2i−2i−ii−ii-1001-11003−300−i3i3−ii−ii3−33−3−i3i3−i3i3002-2002i−2i00000000-11−i3i30000−ii3−3000000
χ482-22-22i−2i2i−2i2-1-221-1-212i−2i2i−2i−ii−ii-1001-11003−300−i3i3−ii−ii3−33−3−i3i3−i3i300-2200−2i2i000000001-1i3−i30000i−i−33000000
χ492-22-22i−2i2i−2i2-1-221-1-212i−2i2i−2i−ii−ii-1001-1100−3300i3−i3−ii−ii−33−33i3−i3i3−i3002-2002i−2i00000000-11i3−i30000−ii−33000000
χ502-22-22i−2i2i−2i2-1-221-1-212i−2i2i−2i−ii−ii-1001-1100−3300i3−i3−ii−ii−33−33i3−i3i3−i300-2200−2i2i000000001-1−i3i30000i−i3−3000000
χ512-22-2−2i2i−2i2i22-22-22-2-2−2i2i−2i2i−2i2i−2i2i200-22-200000000−2i2i−2i2i00000000002-200−2i2i000000002-2000000−2i2i00000000
χ522-22-2−2i2i−2i2i22-22-22-2-2−2i2i−2i2i−2i2i−2i2i200-22-200000000−2i2i−2i2i0000000000-22002i−2i00000000-220000002i−2i00000000
χ532-22-2−2i2i−2i2i2-1-221-1-21−2i2i−2i2ii−ii−i-1001-11003−300i3−i3i−ii−i3−33−3i3−i3i3−i3002-200−2i2i00000000-11i3−i30000i−i3−3000000
χ542-22-2−2i2i−2i2i2-1-221-1-21−2i2i−2i2ii−ii−i-1001-11003−300i3−i3i−ii−i3−33−3i3−i3i3−i300-22002i−2i000000001-1−i3i30000−ii−33000000
χ552-22-2−2i2i−2i2i2-1-221-1-21−2i2i−2i2ii−ii−i-1001-1100−3300−i3i3i−ii−i−33−33−i3i3−i3i3002-200−2i2i00000000-11−i3i30000i−i−33000000
χ562-22-2−2i2i−2i2i2-1-221-1-21−2i2i−2i2ii−ii−i-1001-1100−3300−i3i3i−ii−i−33−33−i3i3−i3i300-22002i−2i000000001-1i3−i30000−ii3−3000000
χ572-2-222-2-2222-2-2-2-2222-2-222-2-22200-2-22000000002-2-220000000000000000000000000000000000002-22-200
χ582-2-222-2-2222-2-2-2-2222-2-222-2-22200-2-22000000002-2-22000000000000000000000000000000000000-22-2200
χ592-2-22-222-222-2-2-2-222-222-2-222-2200-2-2200000000-222-20000000000000000000000000000000000002-2-2200
χ602-2-22-222-222-2-2-2-222-222-2-222-2200-2-2200000000-222-2000000000000000000000000000000000000-222-200
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ634444-4-4-4-4-2-2-2-2-2-2-2-22222222214-4111-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ644444-4-4-4-4-2-2-2-2-2-2-2-2222222221-441112222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ6544-4-44i4i−4i−4i4-24-4-22-424i4i−4i−4i−2i−2i2i2i-200-22200000000−2i−2i2i2i000000000000000000000000000000000000000000
χ6644-4-44i4i−4i−4i-2-2-22-2222−2i−2i2i2i−2i−2i2i2i1001-1-1−2i32i30023−2300ii−i−ii3i3−i3−i3−3−3330000000000000000000000000000000000
χ6744-4-44i4i−4i−4i-2-2-22-2222−2i−2i2i2i−2i−2i2i2i1001-1-12i3−2i300−232300ii−i−i−i3−i3i3i333−3−30000000000000000000000000000000000
χ6844-4-4−4i−4i4i4i4-24-4-22-42−4i−4i4i4i2i2i−2i−2i-200-222000000002i2i−2i−2i000000000000000000000000000000000000000000
χ6944-4-4−4i−4i4i4i-2-2-22-22222i2i−2i−2i2i2i−2i−2i1001-1-1−2i32i300−232300−i−iiii3i3−i3−i333−3−30000000000000000000000000000000000
χ7044-4-4−4i−4i4i4i-2-2-22-22222i2i−2i−2i2i2i−2i−2i1001-1-12i3−2i30023−2300−i−iii−i3−i3i3i3−3−3330000000000000000000000000000000000
χ714-44-44i−4i4i−4i-242-2-442-4−2i2i−2i2i4i−4i4i−4i-2002-2200000000−2i2i−2i2i000000000000000000000000000000000000000000
χ724-44-44i−4i4i−4i-2-22-22-222−2i2i−2i2i−2i2i−2i2i100-11-10023−2300−2i32i3i−ii−i−33−33i3−i3i3−i30000000000000000000000000000000000
χ734-44-44i−4i4i−4i-2-22-22-222−2i2i−2i2i−2i2i−2i2i100-11-100−2323002i3−2i3i−ii−i3−33−3−i3i3−i3i30000000000000000000000000000000000
χ744-44-4−4i4i−4i4i-242-2-442-42i−2i2i−2i−4i4i−4i4i-2002-22000000002i−2i2i−2i000000000000000000000000000000000000000000
χ754-44-4−4i4i−4i4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i100-11-10023−23002i3−2i3−ii−ii−33−33−i3i3−i3i30000000000000000000000000000000000
χ764-44-4−4i4i−4i4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i100-11-100−232300−2i32i3−ii−ii3−33−3i3−i3i3−i30000000000000000000000000000000000
χ774-4-444-4-444-2-4-4224-24-4-44-222-2-20022-200000000-222-2000000000000000000000000000000000000000000
χ784-4-444-4-44-2422-4-4-24-222-24-4-44-20022-200000000-222-2000000000000000000000000000000000000000000
χ794-4-444-4-44-2-22222-2-2-222-2-222-2100-1-11000000001-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ804-4-444-4-44-2-22222-2-2-222-2-222-2100-1-11000000001-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ814-4-44-444-44-2-4-4224-2-444-42-2-22-20022-2000000002-2-22000000000000000000000000000000000000000000
χ824-4-44-444-4-2422-4-4-242-2-22-444-4-20022-2000000002-2-22000000000000000000000000000000000000000000
χ834-4-44-444-4-2-22222-2-22-2-222-2-22100-1-1100000000-111-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ844-4-44-444-4-2-22222-2-22-2-222-2-22100-1-1100000000-111-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000

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