Finite Group Databasebeta

← Group #10593997

Character table — Group #10593997

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order12224444336666661212121212121212344666121212121212121212121212121212121212121222224444244466666612121212121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-111-111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ61111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-111
χ71111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1-11
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1-1-1111111-1-111-1-1-1-1-1-1111-1
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1111-1-1-1-1-1-111-1-11111-1-1111-1
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1-11
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11-1
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11-1-111-1-11111-1-1-1-111-1-111-11
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-111-1-111-1-1-1-11111-1-1-1-111-11
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-11-1
χ17222222222-1-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200200200-1-1-1-1000000-1-1-1-1000000
χ18222222222-1-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-200-20011110000001111000000
χ19222222222-1-1-1222-12222-1-1-1-1-1-2-2-1-1-11111-2-2-2-2-1-1-1-11111111122002200-200-200-1-111000000-1-111000000
χ20222222222-1-1-1222-12222-1-1-1-1-1-2-2-1-1-11111-2-2-2-2-1-1-1-111111111-2-200-2-20020020011-1-100000011-1-1000000
χ2122222222-1222-1-1-12-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220220-1-10000-1-1-1-1-1-10000000000
χ2222222222-1222-1-1-12-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20-2-201100001111110000000000
χ2322222222-1222-1-1-12-1-1-1-12222-1-2-2-1-1-1-2-2-2-21111-1-1-1-111111111002200220-2-20-1-10000-1-111110000000000
χ2422222222-1222-1-1-12-1-1-1-12222-1-2-2-1-1-1-2-2-2-21111-1-1-1-11111111100-2-200-2-2022011000011-1-1-1-10000000000
χ252222-2-2-2-22-1-1-1222-1-2-2-2-21111-12-2-1-1-1-1-11122-2-21111-1-1-1-111112200-2-200200-200-1-1-1-10000001111000000
χ262222-2-2-2-22-1-1-1222-1-2-2-2-21111-12-2-1-1-1-1-11122-2-21111-1-1-1-11111-2-2002200-2002001111000000-1-1-1-1000000
χ272222-2-2-2-22-1-1-1222-1-2-2-2-21111-1-22-1-1-111-1-1-2-22211111111-1-1-1-12200-2-200-200200-1-11100000011-1-1000000
χ282222-2-2-2-22-1-1-1222-1-2-2-2-21111-1-22-1-1-111-1-1-2-22211111111-1-1-1-1-2-2002200200-20011-1-1000000-1-111000000
χ292222-2-2-2-2-1222-1-1-121111-2-2-2-2-12-2-1-1-122-2-2-1-1111111-1-1-1-11111002200-2-202-20-1-1000011-1-1110000000000
χ302222-2-2-2-2-1222-1-1-121111-2-2-2-2-12-2-1-1-122-2-2-1-1111111-1-1-1-1111100-2-200220-220110000-1-111-1-10000000000
χ312222-2-2-2-2-1222-1-1-121111-2-2-2-2-1-22-1-1-1-2-22211-1-111111111-1-1-1-1002200-2-20-220-1-100001111-1-10000000000
χ322222-2-2-2-2-1222-1-1-121111-2-2-2-2-1-22-1-1-1-2-22211-1-111111111-1-1-1-100-2-2002202-20110000-1-1-1-1110000000000
χ3322-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i2002-2-2000000002i2i−2i−2i000000002-2002i−2i000000002-2000000002i−2i00000000
χ3422-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i2002-2-2000000002i2i−2i−2i00000000-2200−2i2i00000000-2200000000−2i2i00000000
χ3522-2-22i2i−2i−2i2-1-112-2-212i2i−2i−2i−i−iii-100-111−i3i33−30000−i−iii−i3−i3i3i333−3−32-2002i−2i00000000-11−i3i3000000−ii3−3000000
χ3622-2-22i2i−2i−2i2-1-112-2-212i2i−2i−2i−i−iii-100-111−i3i33−30000−i−iii−i3−i3i3i333−3−3-2200−2i2i000000001-1i3−i3000000i−i−33000000
χ3722-2-22i2i−2i−2i2-1-112-2-212i2i−2i−2i−i−iii-100-111i3−i3−330000−i−iiii3i3−i3−i3−3−3332-2002i−2i00000000-11i3−i3000000−ii−33000000
χ3822-2-22i2i−2i−2i2-1-112-2-212i2i−2i−2i−i−iii-100-111i3−i3−330000−i−iiii3i3−i3−i3−3−333-2200−2i2i000000001-1−i3i3000000i−i3−3000000
χ3922-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i2002-2-200000000−2i−2i2i2i000000002-200−2i2i000000002-200000000−2i2i00000000
χ4022-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i2002-2-200000000−2i−2i2i2i00000000-22002i−2i00000000-22000000002i−2i00000000
χ4122-2-2−2i−2i2i2i2-1-112-2-21−2i−2i2i2iii−i−i-100-111−i3i3−330000ii−i−i−i3−i3i3i3−3−3332-200−2i2i00000000-11−i3i3000000i−i−33000000
χ4222-2-2−2i−2i2i2i2-1-112-2-21−2i−2i2i2iii−i−i-100-111−i3i3−330000ii−i−i−i3−i3i3i3−3−333-22002i−2i000000001-1i3−i3000000−ii3−3000000
χ4322-2-2−2i−2i2i2i2-1-112-2-21−2i−2i2i2iii−i−i-100-111i3−i33−30000ii−i−ii3i3−i3−i333−3−32-200−2i2i00000000-11i3−i3000000i−i3−3000000
χ4422-2-2−2i−2i2i2i2-1-112-2-21−2i−2i2i2iii−i−i-100-111i3−i33−30000ii−i−ii3i3−i3−i333−3−3-22002i−2i000000001-1−i3i3000000−ii−33000000
χ452-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i200-22-2000000002i−2i2i−2i0000000000000000000000000000000000002-22i−2i00
χ462-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i200-22-2000000002i−2i2i−2i000000000000000000000000000000000000-22−2i2i00
χ472-22-2−2i2i−2i2i22-22-22-2-2−2i2i−2i2i−2i2i−2i2i200-22-200000000−2i2i−2i2i0000000000000000000000000000000000002-2−2i2i00
χ482-22-2−2i2i−2i2i22-22-22-2-2−2i2i−2i2i−2i2i−2i2i200-22-200000000−2i2i−2i2i000000000000000000000000000000000000-222i−2i00
χ492-2-222-2-2222-2-2-2-2222-2-222-2-22200-2-22000000002-2-2200000000002-2002-200002-200002-200000000000000
χ502-2-222-2-2222-2-2-2-2222-2-222-2-22200-2-22000000002-2-220000000000-2200-220000-220000-2200000000000000
χ512-2-222-2-22-12-2-211-12-111-12-2-22-10011-100003−33−3-111-13−33−33−33−3002-2002-20000-110000-113−33−30000000000
χ522-2-222-2-22-12-2-211-12-111-12-2-22-10011-100003−33−3-111-13−33−33−33−300-2200-2200001-100001-1−33−330000000000
χ532-2-222-2-22-12-2-211-12-111-12-2-22-10011-10000−33−33-111-1−33−33−33−33002-2002-20000-110000-11−33−330000000000
χ542-2-222-2-22-12-2-211-12-111-12-2-22-10011-10000−33−33-111-1−33−33−33−3300-2200-2200001-100001-13−33−30000000000
χ552-2-22-222-222-2-2-2-222-222-2-222-2200-2-2200000000-222-200000000002-200-2200002-20000-2200000000000000
χ562-2-22-222-222-2-2-2-222-222-2-222-2200-2-2200000000-222-20000000000-22002-20000-2200002-200000000000000
χ572-2-22-222-2-12-2-211-121-1-11-222-2-10011-100003−3−331-1-113−33−3−33−33002-200-220000-1100001-13−3−330000000000
χ582-2-22-222-2-12-2-211-121-1-11-222-2-10011-100003−3−331-1-113−33−3−33−3300-22002-200001-10000-11−333−30000000000
χ592-2-22-222-2-12-2-211-121-1-11-222-2-10011-10000−333−31-1-11−33−333−33−3002-200-220000-1100001-1−333−30000000000
χ602-2-22-222-2-12-2-211-121-1-11-222-2-10011-10000−333−31-1-11−33−333−33−300-22002-200001-10000-113−3−330000000000
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
χ634444-4-4-4-4-2-2-2-2-2-2-2-22222222214-4111-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ644444-4-4-4-4-2-2-2-2-2-2-2-2222222221-4411122-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ6544-4-44i4i−4i−4i-244-4-222-4−2i−2i2i2i4i4i−4i−4i-200-22200000000−2i−2i2i2i000000000000000000000000000000000000000000
χ6644-4-44i4i−4i−4i-2-2-22-2222−2i−2i2i2i−2i−2i2i2i1001-1-1−2i32i323−230000ii−i−ii3i3−i3−i3−3−3330000000000000000000000000000000000
χ6744-4-44i4i−4i−4i-2-2-22-2222−2i−2i2i2i−2i−2i2i2i1001-1-12i3−2i3−23230000ii−i−i−i3−i3i3i333−3−30000000000000000000000000000000000
χ6844-4-4−4i−4i4i4i-244-4-222-42i2i−2i−2i−4i−4i4i4i-200-222000000002i2i−2i−2i000000000000000000000000000000000000000000
χ6944-4-4−4i−4i4i4i-2-2-22-22222i2i−2i−2i2i2i−2i−2i1001-1-1−2i32i3−23230000−i−iiii3i3−i3−i333−3−30000000000000000000000000000000000
χ7044-4-4−4i−4i4i4i-2-2-22-22222i2i−2i−2i2i2i−2i−2i1001-1-12i3−2i323−230000−i−iii−i3−i3i3i3−3−3330000000000000000000000000000000000
χ714-44-44i−4i4i−4i4-22-2-44-424i−4i4i−4i−2i2i−2i2i-2002-2200000000−2i2i−2i2i000000000000000000000000000000000000000000
χ724-44-44i−4i4i−4i-24-442-22-4−2i2i−2i2i4i−4i4i−4i-2002-2200000000−2i2i−2i2i000000000000000000000000000000000000000000
χ734-44-44i−4i4i−4i-2-22-22-222−2i2i−2i2i−2i2i−2i2i100-11-100000000i−ii−i3i−3i−3i3i-333-30000000000000000000000000000000000
χ744-44-44i−4i4i−4i-2-22-22-222−2i2i−2i2i−2i2i−2i2i100-11-100000000i−ii−i−3i3i3i−3i3-3-330000000000000000000000000000000000
χ754-44-4−4i4i−4i4i4-22-2-44-42−4i4i−4i4i2i−2i2i−2i-2002-22000000002i−2i2i−2i000000000000000000000000000000000000000000
χ764-44-4−4i4i−4i4i-24-442-22-42i−2i2i−2i−4i4i−4i4i-2002-22000000002i−2i2i−2i000000000000000000000000000000000000000000
χ774-44-4−4i4i−4i4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i100-11-100000000−ii−ii3i−3i−3i3i3-3-330000000000000000000000000000000000
χ784-44-4−4i4i−4i4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i100-11-100000000−ii−ii−3i3i3i−3i-333-30000000000000000000000000000000000
χ794-4-444-4-444-222-4-44-24-4-44-222-2-20022-200000000-222-2000000000000000000000000000000000000000000
χ804-4-444-4-44-2-22222-2-2-222-2-222-2100-1-11000023−2323−231-1-11−33−33−33−330000000000000000000000000000000000
χ814-4-444-4-44-2-22222-2-2-222-2-222-2100-1-110000−2323−23231-1-113−33−33−33−30000000000000000000000000000000000
χ824-4-44-444-44-222-4-44-2-444-42-2-22-20022-2000000002-2-22000000000000000000000000000000000000000000
χ834-4-44-444-4-2-22222-2-22-2-222-2-22100-1-11000023−23−2323-111-1−33−333−33−30000000000000000000000000000000000
χ844-4-44-444-4-2-22222-2-22-2-222-2-22100-1-110000−232323−23-111-13−33−3−33−330000000000000000000000000000000000

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