Finite Group Databasebeta

← Group #10594963

Character table — Group #10594963

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order1222223344446666663666666666661212121212121212121212121212121244442244444444444466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11-111-1-11-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-11-1-111-11
χ511111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11-1-1-1111-1
χ611111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-1-1111-1-1-11
χ711111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ811111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ91111-1-11111-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-111-1-1111-11-1-1-1
χ101111-1-11111-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-11-11-1-111-1-1-1-1-11-1111
χ111111-1-11111-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1111-11-1-11-11
χ121111-1-11111-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-111-1-111-11-111-11-1
χ131111-1-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111111-1-11-111-1-1-1-1-1111-1-111-1-11
χ141111-1-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-111-11-1-11-1-1-1-111-111-1-111-1
χ151111-1-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-111111-1-111-11-11-1-1
χ161111-1-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-11111-1-1-1-11-11-111
χ172222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000020200220000000-100-1-10-1
χ182222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000-20-200-2-200000001001101
χ192222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000020200-2-20000000-100110-1
χ202222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000-20-200220000000100-1-101
χ21222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000020202200000000-10-1-100-10
χ22222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-20-20-2-20000000010110010
χ23222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-21111111100002020-2-200000000-101100-10
χ24222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000-20-20220000000010-1-10010
χ252222-2-22-122-2-222-1-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-111110000020-2002-20000000-100-1101
χ262222-2-22-122-2-222-1-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-1111100000-20200-2200000001001-10-1
χ272222-2-22-1-2-22222-1-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-10000020-200-220000000-1001-101
χ282222-2-22-1-2-22222-1-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100000-202002-20000000100-110-1
χ292222-2-2-1222-2-2-1-122-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-11111000020-202-200000000-10-110010
χ302222-2-2-1222-2-2-1-122-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000-2020-2200000000101-100-10
χ312222-2-2-12-2-222-1-122-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-1000020-20-2200000000-101-10010
χ322222-2-2-12-2-222-1-122-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000-20202-20000000010-1100-10
χ3322-2-22-2220000-2-2-2-22222-22-2-2-222-2-2200000000000000002i2i−2i−2i000000002i−2i000000000000
χ3422-2-22-2220000-2-2-2-22222-22-2-2-222-2-220000000000000000−2i−2i2i2i00000000−2i2i000000000000
χ3522-2-2-22220000-2-2-2-2222-22-22-2-2-2-222200000000000000002i2i−2i−2i00000000−2i2i000000000000
χ3622-2-2-22220000-2-2-2-2222-22-22-2-2-2-22220000000000000000−2i−2i2i2i000000002i−2i000000000000
χ372-22-20022002i−2i2-22-2-2-2200002-20000-200002i−2i2i−2i00002i2i−2i−2i2-22-20000000000002i−2i00000000
χ382-22-20022002i−2i2-22-2-2-2200002-20000-200002i−2i2i−2i00002i2i−2i−2i-22-22000000000000−2i2i00000000
χ392-22-2002200−2i2i2-22-2-2-2200002-20000-20000−2i2i−2i2i0000−2i−2i2i2i2-22-2000000000000−2i2i00000000
χ402-22-2002200−2i2i2-22-2-2-2200002-20000-20000−2i2i−2i2i0000−2i−2i2i2i-22-220000000000002i−2i00000000
χ412-2-2200222i−2i00-22-22-2-220000-220000-22i−2i2i−2i00002i2i−2i−2i00002i−2i−2i2i00000000002-20000000000
χ422-2-2200222i−2i00-22-22-2-220000-220000-22i−2i2i−2i00002i2i−2i−2i0000−2i2i2i−2i0000000000-220000000000
χ432-2-220022−2i2i00-22-22-2-220000-220000-2−2i2i−2i2i0000−2i−2i2i2i00002i−2i−2i2i0000000000-220000000000
χ442-2-220022−2i2i00-22-22-2-220000-220000-2−2i2i−2i2i0000−2i−2i2i2i0000−2i2i2i−2i00000000002-20000000000
χ45444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ46444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ474444-4-4-2-244-4-4-2-2-2-2-2-21222211-1-1-1-11-2-2-2-222221111-1-1-1-100000000000000000000000000
χ484444-4-4-2-2-4-444-2-2-2-2-2-21222211-1-1-1-112222-2-2-2-2-1-1-1-1111100000000000000000000000000
χ4944-4-44-44-20000-4-4224-2-24-4-2222-2-222-2000000000000000000000000000000000000000000
χ5044-4-44-4-24000022-4-4-24-2-224-422-2-222-2000000000000000000000000000000000000000000
χ5144-4-44-4-2-200002222-2-21-22-22-1-111-1-11000000003-33-33-33-300000000000000000000000000
χ5244-4-44-4-2-200002222-2-21-22-22-1-111-1-1100000000-33-33-33-3300000000000000000000000000
χ5344-4-4-444-20000-4-4224-2-2-442-22222-2-2-2000000000000000000000000000000000000000000
χ5444-4-4-44-24000022-4-4-24-22-2-442222-2-2-2000000000000000000000000000000000000000000
χ5544-4-4-44-2-200002222-2-212-22-2-1-1-1-1111000000003-33-3-33-3300000000000000000000000000
χ5644-4-4-44-2-200002222-2-212-22-2-1-1-1-111100000000-33-333-33-300000000000000000000000000
χ574-44-4004-2004i−4i4-4-22-42-20000-220000200004i−4i−2i2i0000−2i−2i2i2i00000000000000000000000000
χ584-44-4004-200−4i4i4-4-22-42-20000-22000020000−4i4i2i−2i00002i2i−2i−2i00000000000000000000000000
χ594-44-400-24004i−4i-224-42-4-20000-22000020000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000000000
χ604-44-400-2400−4i4i-224-42-4-20000-220000200002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000
χ614-44-400-2-2004i−4i-22-2222100001-13-33-3-10000−2i2i−2i2i3i−3i−3i3iii−i−i00000000000000000000000000
χ624-44-400-2-2004i−4i-22-2222100001-1-33-33-10000−2i2i−2i2i−3i3i3i−3iii−i−i00000000000000000000000000
χ634-44-400-2-200−4i4i-22-2222100001-13-33-3-100002i−2i2i−2i−3i3i3i−3i−i−iii00000000000000000000000000
χ644-44-400-2-200−4i4i-22-2222100001-1-33-33-100002i−2i2i−2i3i−3i−3i3i−i−iii00000000000000000000000000
χ654-4-44004-24i−4i00-442-2-42-200002-2000024i−4i−2i2i0000−2i−2i2i2i000000000000000000000000000000
χ664-4-44004-2−4i4i00-442-2-42-200002-200002−4i4i2i−2i00002i2i−2i−2i000000000000000000000000000000
χ674-4-4400-244i−4i002-2-442-4-200002-200002−2i2i4i−4i0000−2i−2i2i2i000000000000000000000000000000
χ684-4-4400-24−4i4i002-2-442-4-200002-2000022i−2i−4i4i00002i2i−2i−2i000000000000000000000000000000
χ694-4-4400-2-24i−4i002-22-22210000-113-3-33-1−2i2i−2i2i0000ii−i−i3i−3i−3i3i00000000000000000000000000
χ704-4-4400-2-24i−4i002-22-22210000-11-333-3-1−2i2i−2i2i0000ii−i−i−3i3i3i−3i00000000000000000000000000
χ714-4-4400-2-2−4i4i002-22-22210000-113-3-33-12i−2i2i−2i0000−i−iii−3i3i3i−3i00000000000000000000000000
χ724-4-4400-2-2−4i4i002-22-22210000-11-333-3-12i−2i2i−2i0000−i−iii3i−3i−3i3i00000000000000000000000000

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