Finite Group Databasebeta

← Group #10594607

Character table — Group #10594607

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222444444446666121222224444448888888812121212242433336666661212121212121212181818183636
order1222344666441212121212122244243666312126661212121212121212661212612222264466644121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-1
χ41111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111
χ511111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-11
χ611111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-1
χ711111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-1
χ811111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-11
χ92222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ102222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-111000000
χ112222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-11111000000
χ122222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-1000000
χ1322-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i00000000
χ1422-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i00000000
χ1522-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−3000000
χ1622-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−33000000
χ1722-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−33000000
χ1822-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−3000000
χ192-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i00
χ202-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i00
χ212-2-22200-2-22000000002-200002-2-22200-2-22000000002-200002-2-22200-2-22000000002-20000
χ222-2-22200-2-2200000000-2200002-2-22200-2-2200000000-2200002-2-22200-2-2200000000-220000
χ234-44-4-200-222000000000000004-44-4-200-222000000000000004-44-4-200-22200000000000000
χ244-4-44-20022-2000000000000004-4-44-20022-2000000000000004-4-44-20022-200000000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ281111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ2911111-1-11111-111-1-1-1-111-1-1-1111111-1-11111-111-1-1-1-111-1-1-11-1-1-1-1-111-1-1-1-11-1-11111-1-1111-1
χ3011111-1-11111-111-1-1-1-1-1-1111-111111-1-11111-111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11-1-1111111-1-1-11
χ3111111-1-1111-11-1-1-1-11111-1-11-111111-1-1111-11-1-1-1-11111-1-11-1-1-1-1-1-111-1-1-11-11111-1-1-1-111-11
χ3211111-1-1111-11-1-1-1-111-1-111-1111111-1-1111-11-1-1-1-111-1-111-11-1-1-1-1-111-1-1-11-11111-1-111-1-11-1
χ332222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-2111111000000
χ342222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-111000000-2-2-2-21-2-211122-1-111-1-1000000
χ352222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-11111000000-2-2-2-2122111-2211-1-1-1-1000000
χ362222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-1000000-2-2-2-21221112-2-1-1-1-111000000
χ3722-2-222i−2i-22-200002i−2i0000000022-2-222i−2i-22-200002i−2i00000000-2-222-2−2i2i2-220000−2i2i00000000
χ3822-2-22−2i2i-22-20000−2i2i0000000022-2-22−2i2i-22-20000−2i2i00000000-2-222-22i−2i2-2200002i−2i00000000
χ3922-2-2-12i−2i1-1100−i3i3−ii3−300000022-2-2-12i−2i1-1100−i3i3−ii3−3000000-2-2221−2i2i-11-100i3−i3i−i−33000000
χ4022-2-2-12i−2i1-1100i3−i3−ii−3300000022-2-2-12i−2i1-1100i3−i3−ii−33000000-2-2221−2i2i-11-100−i3i3i−i3−3000000
χ4122-2-2-1−2i2i1-1100−i3i3i−i−3300000022-2-2-1−2i2i1-1100−i3i3i−i−33000000-2-22212i−2i-11-100i3−i3−ii3−3000000
χ4222-2-2-1−2i2i1-1100i3−i3i−i3−300000022-2-2-1−2i2i1-1100i3−i3i−i3−3000000-2-22212i−2i-11-100−i3i3−ii−33000000
χ432-22-22002-2-200000000002i−2i002-22-22002-2-200000000002i−2i00-22-22-200-2220000000000−2i2i00
χ442-22-22002-2-20000000000−2i2i002-22-22002-2-20000000000−2i2i00-22-22-200-22200000000002i−2i00
χ452-2-22200-2-22000000002-200002-2-22200-2-22000000002-20000-222-2-20022-200000000-220000
χ462-2-22200-2-2200000000-2200002-2-22200-2-2200000000-220000-222-2-20022-2000000002-20000
χ474-44-4-200-222000000000000004-44-4-200-22200000000000000-44-442002-2-200000000000000
χ484-4-44-20022-2000000000000004-4-44-20022-200000000000000-444-4200-2-2200000000000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000
χ512222222222-2-2-2-222-2-22222-2-2-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111000000000000000000000000
χ522222222222-2-2-2-222-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1000000000000000000000000
χ5322222-2-22222-222-2-2-2-222-2-2-22-1-1-1-1-111-1-1-1-11-1-11111-1-1111-1000000000000000000000000
χ5422222-2-22222-222-2-2-2-2-2-2222-2-1-1-1-1-111-1-1-1-11-1-1111111-1-1-11000000000000000000000000
χ5522222-2-2222-22-2-2-2-22222-2-22-2-1-1-1-1-111-1-1-11-11111-1-1-1-111-11000000000000000000000000
χ5622222-2-2222-22-2-2-2-222-2-222-22-1-1-1-1-111-1-1-11-11111-1-111-1-11-1000000000000000000000000
χ574444-244-2-2-244-2-2-2-2-2-2000000-2-2-2-21-2-2111-2-2111111000000000000000000000000000000
χ584444-244-2-2-2-4-422-2-222000000-2-2-2-21-2-211122-1-111-1-1000000000000000000000000000000
χ594444-2-4-4-2-2-24-4-2-22222000000-2-2-2-2122111-2211-1-1-1-1000000000000000000000000000000
χ604444-2-4-4-2-2-2-442222-2-2000000-2-2-2-21221112-2-1-1-1-111000000000000000000000000000000
χ6144-4-444i−4i-44-400004i−4i00000000-2-222-2−2i2i2-220000−2i2i00000000000000000000000000000000
χ6244-4-44−4i4i-44-40000−4i4i00000000-2-222-22i−2i2-2200002i−2i00000000000000000000000000000000
χ6344-4-4-24i−4i2-2200−2i32i3−2i2i23−23000000-2-2221−2i2i-11-100i3−i3i−i−33000000000000000000000000000000
χ6444-4-4-24i−4i2-22002i3−2i3−2i2i−2323000000-2-2221−2i2i-11-100−i3i3i−i3−3000000000000000000000000000000
χ6544-4-4-2−4i4i2-2200−2i32i32i−2i−2323000000-2-22212i−2i-11-100i3−i3−ii3−3000000000000000000000000000000
χ6644-4-4-2−4i4i2-22002i3−2i32i−2i23−23000000-2-22212i−2i-11-100−i3i3−ii−33000000000000000000000000000000
χ674-44-44004-4-400000000004i−4i00-22-22-200-2220000000000−2i2i00000000000000000000000000
χ684-44-44004-4-40000000000−4i4i00-22-22-200-22200000000002i−2i00000000000000000000000000
χ694-4-44400-4-44000000004-40000-222-2-20022-200000000-220000000000000000000000000000
χ704-4-44400-4-4400000000-440000-222-2-20022-2000000002-20000000000000000000000000000
χ718-88-8-400-44400000000000000-44-442002-2-200000000000000000000000000000000000000
χ728-8-88-40044-400000000000000-444-4200-2-2200000000000000000000000000000000000000

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