Finite Group Databasebeta

← Group #10592744

Character table — Group #10592744

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222222222244444444444444444444444448888888888888888883636363636363636
order12223333444466666666666626666666612121212121212121212121212121212441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ611111111-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ711111111-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ811111111-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ92222222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000
χ1022222222-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ1122222-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ1222222-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000
χ1322222-1-1-122-2-22-1-1-12-1-1-12-1-1-1-2-2-2111111-2-211111122-1-1-1-1-1-10000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000
χ1422222-1-1-122-2-22-1-1-12-1-1-12-1-1-1-2-2-2111111-2-211111122-1-1-1-1-1-10000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000
χ1522222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-211111122-1-1-1-1-1-1-2-21111112-2-2-211111122-1-1-1-1-1-100000000
χ1622222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-211111122-1-1-1-1-1-1-2-2111111-2222-1-1-1-1-1-1-2-211111100000000
χ1722222-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300000000
χ1822222-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300000000
χ192222-12-1-12222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-100000000
χ202222-12-1-12222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-21100000000
χ212222-12-1-122-2-2-12-1-1-12-1-1-12-1-1-211-2-2111111-2-21111-1-122-1-1-1-100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000
χ222222-12-1-122-2-2-12-1-1-12-1-1-12-1-1-211-2-2111111-2-21111-1-122-1-1-1-100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000
χ232222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-211-2-21111-1-122-1-1-1-111-2-211112-211-211-211-1-12-1-12-1-100000000
χ242222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-211-2-21111-1-122-1-1-1-111-2-21111-22-1-12-1-12-1-111-211-21100000000
χ252222-12-1-1-2-2-2-2-12-1-1-12-1-1-12-1-12-1-122-1-1-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i300000000
χ262222-12-1-1-2-2-2-2-12-1-1-12-1-1-12-1-12-1-122-1-1-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i300000000
χ272222-1-12-12222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-1200000000
χ282222-1-12-12222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-200000000
χ292222-1-12-122-2-2-1-12-1-1-12-1-1-12-1-21111-2-2111111-2-211-1-1-1-122-1-100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000
χ302222-1-12-122-2-2-1-12-1-1-12-1-1-12-1-21111-2-2111111-2-211-1-1-1-122-1-100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000
χ312222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-21111-2-211-1-1-1-122-1-11111-2-2112-2111-2111-2-1-1-12-1-1-1200000000
χ322222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-21111-2-211-1-1-1-122-1-11111-2-211-22-1-1-12-1-1-12111-2111-200000000
χ332222-1-12-1-2-2-2-2-1-12-1-1-12-1-1-12-12-1-1-1-122-1-11111-2-2111111-2-21100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i3000000000
χ342222-1-12-1-2-2-2-2-1-12-1-1-12-1-1-12-12-1-1-1-122-1-11111-2-2111111-2-21100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i3000000000
χ352222-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-100000000
χ362222-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-2100000000
χ372222-1-1-1222-2-2-1-1-12-1-1-12-1-1-12-2111111-2-2111111-2-2-1-1-1-1-1-12200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000
χ382222-1-1-1222-2-2-1-1-12-1-1-12-1-1-12-2111111-2-2111111-2-2-1-1-1-1-1-12200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000
χ392222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-2111111-2-2-1-1-1-1-1-122111111-2-22-21111-21-21-1-1-1-12-12-100000000
χ402222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-2111111-2-2-1-1-1-1-1-122111111-2-2-22-1-1-1-12-12-11111-21-2100000000
χ412222-1-1-12-2-2-2-2-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i300000000
χ422222-1-1-12-2-2-2-2-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i300000000
χ4322-2-22222002-2-2-2-2-2-2-2-2-222220000000002-22-22-22-200000000000000000000000000002i−2i0000
χ4422-2-22222002-2-2-2-2-2-2-2-2-222220000000002-22-22-22-20000000000000000000000000000−2i2i0000
χ4522-2-2222200-22-2-2-2-2-2-2-2-22222000000000-22-22-22-22000000000000000000000000002i−2i000000
χ4622-2-2222200-22-2-2-2-2-2-2-2-22222000000000-22-22-22-2200000000000000000000000000−2i2i000000
χ472-2-2222222i−2i00-2-2-2-22222-2-2-2-2000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000002−2−i2i2
χ482-2-2222222i−2i00-2-2-2-22222-2-2-2-2000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000−22i2−i2
χ492-2-222222−2i2i00-2-2-2-22222-2-2-2-200000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002−2i2−i2
χ502-2-222222−2i2i00-2-2-2-22222-2-2-2-200000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000−22−i2i2
χ5144-4-44-2-2-2004-4-4222-42224-2-2-20000000004-4-22-22-220000000000000000000000000000000000
χ5244-4-44-2-2-200-44-4222-42224-2-2-2000000000-442-22-22-20000000000000000000000000000000000
χ5344-4-4-24-2-2004-42-4222-422-24-2-2000000000-224-4-22-220000000000000000000000000000000000
χ5444-4-4-24-2-200-442-4222-422-24-2-20000000002-2-442-22-20000000000000000000000000000000000
χ5544-4-4-2-24-2004-422-4222-42-2-24-2000000000-22-224-4-220000000000000000000000000000000000
χ5644-4-4-2-24-200-4422-4222-42-2-24-20000000002-22-2-442-20000000000000000000000000000000000
χ5744-4-4-2-2-24004-4222-4222-4-2-2-24000000000-22-22-224-40000000000000000000000000000000000
χ5844-4-4-2-2-2400-44222-4222-4-2-2-240000000002-22-22-2-440000000000000000000000000000000000
χ594-44-4444400004444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000
χ604-44-44-2-2-200004-2-2-2-4222-4222000−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000
χ614-44-44-2-2-200004-2-2-2-4222-42220002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000
χ624-44-4-24-2-20000-24-2-22-4222-4220−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000
χ634-44-4-24-2-20000-24-2-22-4222-42202i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ644-44-4-2-24-20000-2-24-222-4222-420−2i32i32i3−2i300−2i32i3000000000000000000000000000000000000000000
χ654-44-4-2-24-20000-2-24-222-4222-4202i3−2i3−2i32i3002i3−2i3000000000000000000000000000000000000000000
χ664-44-4-2-2-240000-2-2-24222-4222-40−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000
χ674-44-4-2-2-240000-2-2-24222-4222-402i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000
χ684-4-444-2-2-24i−4i00-42224-2-2-2-4222000000000000000004i−4i−2i2i−2i2i−2i2i00000000000000000000000000
χ694-4-444-2-2-2−4i4i00-42224-2-2-2-422200000000000000000−4i4i2i−2i2i−2i2i−2i00000000000000000000000000
χ704-4-44-24-2-24i−4i002-422-24-2-22-42200000000000000000−2i2i4i−4i−2i2i−2i2i00000000000000000000000000
χ714-4-44-24-2-2−4i4i002-422-24-2-22-422000000000000000002i−2i−4i4i2i−2i2i−2i00000000000000000000000000
χ724-4-44-2-24-24i−4i0022-42-2-24-222-4200000000000000000−2i2i−2i2i4i−4i−2i2i00000000000000000000000000
χ734-4-44-2-24-2−4i4i0022-42-2-24-222-42000000000000000002i−2i2i−2i−4i4i2i−2i00000000000000000000000000
χ744-4-44-2-2-244i−4i00222-4-2-2-24222-400000000000000000−2i2i−2i2i−2i2i4i−4i00000000000000000000000000
χ754-4-44-2-2-24−4i4i00222-4-2-2-24222-4000000000000000002i−2i2i−2i2i−2i−4i4i00000000000000000000000000

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