Finite Group Databasebeta

← Group #10594559

Character table — Group #10594559

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222244444444444444446666666666668888881212121212121212121212121212121212121818363636
order12223344444466666636661212121212121212121212122244666612121212121212121212244444661212121212121212121244224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-111111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11
χ611111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1
χ711111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-1
χ811111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-11
χ9111111-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-11-11-1-1-1-1-111-1-111-1-1111-1-1
χ10111111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11-1-111-111-1-1-1-11111-1-1-1-1-111
χ11111111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-11-1-11111-1-1-1-111-1-1-111
χ12111111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-111111-1-111-1-111111-1-1
χ13111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-11-11-1-1-1-1-1-111-1-11111-11-1
χ14111111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-11-1-1111-1-111-1-1-1-111-1-11-11
χ15111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11-111-1-1-111-1-11111-1-1-1-11-11
χ16111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-111-1-111-11-1
χ1722222-12222222-12-1-12-1-1-1-1-1-1-1-122-1-1222200220000-1-1-1-1-1-1-1-1-1-1202200-1-100-1-1-1-1000000000
χ1822222-12222222-12-1-12-1-1-1-1-1-1-1-122-1-1222200-2-200001111-1-1-1-1-1-1-20-2-20011001111000000000
χ1922222-122-2-2-2-22-12-1-12-1-1-1-1111122-1-1-2-2-2-200220000-1-1-1-1-1-1111120-2-200-1-1001111000000000
χ2022222-122-2-2-2-22-12-1-12-1-1-1-1111122-1-1-2-2-2-200-2-200001111-1-11111-2022001100-1-1-1-1000000000
χ2122222-1-2-222-2-22-12-1-12-1-1-1-1-1-111-2-21122-2-200220000-1-1-1-111-1-111-202-2001100-1-111000000000
χ2222222-1-2-222-2-22-12-1-12-1-1-1-1-1-111-2-21122-2-200-2-20000111111-1-11120-2200-1-10011-1-1000000000
χ2322222-1-2-2-2-2222-12-1-12-1-1-1-111-1-1-2-211-2-22200220000-1-1-1-11111-1-1-20-2200110011-1-1000000000
χ2422222-1-2-2-2-2222-12-1-12-1-1-1-111-1-1-2-211-2-22200-2-2000011111111-1-1202-200-1-100-1-111000000000
χ252222-12222222-12-122-1-1-1-1-12222-1-122-1-1-1-12200-1-1-1-10000-1-1-1-1-1-102002200-1-10000-1-1-1-100000
χ262222-12222222-12-122-1-1-1-1-12222-1-122-1-1-1-1-2-20011110000-1-1-1-1-1-10-200-2-200110000111100000
χ272222-1222-2-2-2-2-12-122-1-1-1-1-1-2-2-2-2-1-12211112200-1-1-1-10000-1-111110200-2-200-1-10000111100000
χ282222-1222-2-2-2-2-12-122-1-1-1-1-1-2-2-2-2-1-1221111-2-20011110000-1-111110-2002200110000-1-1-1-100000
χ292222-12-2-222-2-2-12-122-1-1-1-1-122-2-211-2-2-1-1112200-1-1-1-1000011-1-1110-2002-200110000-1-11100000
χ302222-12-2-222-2-2-12-122-1-1-1-1-122-2-211-2-2-1-111-2-2001111000011-1-1110200-2200-1-1000011-1-100000
χ312222-12-2-2-2-222-12-122-1-1-1-1-1-2-22211-2-211-1-12200-1-1-1-100001111-1-10-200-220011000011-1-100000
χ322222-12-2-2-2-222-12-122-1-1-1-1-1-2-22211-2-211-1-1-2-200111100001111-1-102002-200-1-10000-1-11100000
χ3322-2-2222-22i−2i2i−2i-2-222-2-22-22-22i−2i2i−2i2-22-22i−2i2i−2i0000000000002-22i−2i2i−2i00000000000000000000000
χ3422-2-2222-2−2i2i−2i2i-2-222-2-22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0000000000002-2−2i2i−2i2i00000000000000000000000
χ3522-2-222-222i−2i−2i2i-2-222-2-22-22-22i−2i−2i2i-22-222i−2i−2i2i000000000000-222i−2i−2i2i00000000000000000000000
χ3622-2-222-22−2i2i2i−2i-2-222-2-22-22-2−2i2i2i−2i-22-22−2i2i2i−2i000000000000-22−2i2i2i−2i00000000000000000000000
χ3722-2-22-12-22i−2i2i−2i-212-11-2-11-11−ii−ii2-2-112i−2i2i−2i00000000−i3−i3i3i3-11−ii−ii000000−i3i3003−33−3000000000
χ3822-2-22-12-22i−2i2i−2i-212-11-2-11-11−ii−ii2-2-112i−2i2i−2i00000000i3i3−i3−i3-11−ii−ii000000i3−i300−33−33000000000
χ3922-2-22-12-2−2i2i−2i2i-212-11-2-11-11i−ii−i2-2-11−2i2i−2i2i00000000−i3−i3i3i3-11i−ii−i000000−i3i300−33−33000000000
χ4022-2-22-12-2−2i2i−2i2i-212-11-2-11-11i−ii−i2-2-11−2i2i−2i2i00000000i3i3−i3−i3-11i−ii−i000000i3−i3003−33−3000000000
χ4122-2-22-1-222i−2i−2i2i-212-11-2-11-11−iii−i-221-12i−2i−2i2i00000000−i3−i3i3i31-1−iii−i000000i3−i3003−3−33000000000
χ4222-2-22-1-222i−2i−2i2i-212-11-2-11-11−iii−i-221-12i−2i−2i2i00000000i3i3−i3−i31-1−iii−i000000−i3i300−333−3000000000
χ4322-2-22-1-22−2i2i2i−2i-212-11-2-11-11i−i−ii-221-1−2i2i2i−2i00000000−i3−i3i3i31-1i−i−ii000000i3−i300−333−3000000000
χ4422-2-22-1-22−2i2i2i−2i-212-11-2-11-11i−i−ii-221-1−2i2i2i−2i00000000i3i3−i3−i31-1i−i−ii000000−i3i3003−3−33000000000
χ4522-2-2-122-22i−2i2i−2i1-2-12-21-11-112i−2i2i−2i-112-2−ii−ii0000−i3−i3i3i30000-11−ii−ii00000000−i3i300003−33−300000
χ4622-2-2-122-22i−2i2i−2i1-2-12-21-11-112i−2i2i−2i-112-2−ii−ii0000i3i3−i3−i30000-11−ii−ii00000000i3−i30000−33−3300000
χ4722-2-2-122-2−2i2i−2i2i1-2-12-21-11-11−2i2i−2i2i-112-2i−ii−i0000−i3−i3i3i30000-11i−ii−i00000000−i3i30000−33−3300000
χ4822-2-2-122-2−2i2i−2i2i1-2-12-21-11-11−2i2i−2i2i-112-2i−ii−i0000i3i3−i3−i30000-11i−ii−i00000000i3−i300003−33−300000
χ4922-2-2-12-222i−2i−2i2i1-2-12-21-11-112i−2i−2i2i1-1-22−iii−i0000−i3−i3i3i300001-1−iii−i00000000i3−i300003−3−3300000
χ5022-2-2-12-222i−2i−2i2i1-2-12-21-11-112i−2i−2i2i1-1-22−iii−i0000i3i3−i3−i300001-1−iii−i00000000−i3i30000−333−300000
χ5122-2-2-12-22−2i2i2i−2i1-2-12-21-11-11−2i2i2i−2i1-1-22i−i−ii0000−i3−i3i3i300001-1i−i−ii00000000i3−i30000−333−300000
χ5222-2-2-12-22−2i2i2i−2i1-2-12-21-11-11−2i2i2i−2i1-1-22i−i−ii0000i3i3−i3−i300001-1i−i−ii00000000−i3i300003−3−3300000
χ532-22-2220000002-2-2-22-222-2-20000000000002-22i−2i2-22-22i−2i2i−2i0000000000000000000000002i−2i000
χ542-22-2220000002-2-2-22-222-2-20000000000002-2−2i2i2-22-2−2i2i−2i2i000000000000000000000000−2i2i000
χ552-22-2220000002-2-2-22-222-2-2000000000000-222i−2i-22-222i−2i2i−2i000000000000000000000000−2i2i000
χ562-22-2220000002-2-2-22-222-2-2000000000000-22−2i2i-22-22−2i2i−2i2i0000000000000000000000002i−2i000
χ574444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000000011111100000000000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-2-2-2222200000000000011-1-1-1-100000000000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-21111-2-2222222-2-222000000000000-1-111-1-100000000000000000000000
χ604444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-2222222-2-2000000000000-1-1-1-11100000000000000000000000
χ6144-4-4-2-24-44i−4i4i−4i22-2-2221-11-1−2i2i−2i2i-22-22−2i2i−2i2i0000000000001-1i−ii−i00000000000000000000000
χ6244-4-4-2-24-4−4i4i−4i4i22-2-2221-11-12i−2i2i−2i-22-222i−2i2i−2i0000000000001-1−ii−ii00000000000000000000000
χ6344-4-4-2-2-444i−4i−4i4i22-2-2221-11-1−2i2i2i−2i2-22-2−2i2i2i−2i000000000000-11i−i−ii00000000000000000000000
χ6444-4-4-2-2-44−4i4i4i−4i22-2-2221-11-12i−2i−2i2i2-22-22i−2i−2i2i000000000000-11−iii−i00000000000000000000000
χ654-44-44-200000042-42-2-4-2-222000000000000004i−4i0000−2i2i−2i2i00000000000000000000000000000
χ664-44-44-200000042-42-2-4-2-22200000000000000−4i4i00002i−2i2i−2i00000000000000000000000000000
χ674-44-4-24000000-2-42-442-2-2220000000000004-400-22-22000000000000000000000000000000000
χ684-44-4-24000000-2-42-442-2-222000000000000-44002-22-2000000000000000000000000000000000
χ694-4-4444000000-44-4-4-444-4-4400000000000000000000000000000000000000000000000000000
χ704-4-444-2000000-4-2-4224-222-20000000000000000000023−23−232300000000000000000000000000000
χ714-4-444-2000000-4-2-4224-222-200000000000000000000−232323−2300000000000000000000000000000
χ724-4-44-24000000242-4-4-2-222-20000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ734-4-44-24000000242-4-4-2-222-200000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ748-88-8-4-4000000-4444-4422-2-200000000000000000000000000000000000000000000000000000
χ758-8-88-4-40000004-4444-42-2-2200000000000000000000000000000000000000000000000000000

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