Finite Group Databasebeta

← Group #10594890

Character table — Group #10594890

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444444444444444444446666121212121212121212121212121218181818242424243636
order12223344446666661212121223666666666661212121212121212121212121212222244444466661212121244441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11-11-11-111-1-111-1-111111-11-1-1-1
χ611111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-111-1-1111-1-111-1-1-1-1-1-1-11-1111
χ711111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-1-1-11-11-111
χ811111111-1-11111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-111-1-1111111-11-11-1-1
χ9111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-11
χ10111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ11111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11-1
χ12111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11
χ13111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1111-1-1-1-11111-1-11-1-111-1
χ14111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-111-1-1-1-111-1-111-111-1-11
χ15111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-11111-1-1-1-1111-1-11-11
χ16111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-1-1-11111-1-111-1-1-111-11-1
χ1722222-122222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222002200-1-1-1-1-1-1-1-10000000000
χ1822222-122222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-200111111110000000000
χ1922222-122-2-22-1-122-1-1-1-1-1-2-1-2-211-1-11111-122-2-211-1-1-1-1111122-2-2002-200-1-111-1-1110000000000
χ2022222-122-2-22-1-122-1-1-1-1-1-2-1-2-211-1-11111-122-2-211-1-1-1-11111-2-22200-220011-1-111-1-10000000000
χ2122222-1-2-2222-1-122-11111-2-1-2-211-1-11111-1-2-222-1-11111-1-1-1-1222200-2-200-1-1-1-111110000000000
χ2222222-1-2-2222-1-122-11111-2-1-2-211-1-11111-1-2-222-1-11111-1-1-1-1-2-2-2-20022001111-1-1-1-10000000000
χ2322222-1-2-2-2-22-1-122-111112-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111122-2-200-2200-1-11111-1-10000000000
χ2422222-1-2-2-2-22-1-122-111112-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111-2-222002-20011-1-1-1-1110000000000
χ252222-122222-122-1-1222222-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000220022000000000000-1-1-1-100
χ262222-122222-122-1-1222222-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-2-2000000000000111100
χ272222-1222-2-2-122-1-122222-2-111-2-2-1-11111-1-1-111-2-2-1-1-1-1111100002-2002-2000000000000-11-1100
χ282222-1222-2-2-122-1-122222-2-111-2-2-1-11111-1-1-111-2-2-1-1-1-111110000-2200-220000000000001-11-100
χ292222-12-2-222-122-1-12-2-2-2-2-2-111-2-2-1-11111-111-1-1221111-1-1-1-100002200-2-2000000000000-1-11100
χ302222-12-2-222-122-1-12-2-2-2-2-2-111-2-2-1-11111-111-1-1221111-1-1-1-10000-2-2002200000000000011-1-100
χ312222-12-2-2-2-2-122-1-12-2-2-2-22-1-1-122-1-1-1-1-1-1-11111-2-21111111100002-200-22000000000000-111-100
χ322222-12-2-2-2-2-122-1-12-2-2-2-22-1-1-122-1-1-1-1-1-1-11111-2-2111111110000-22002-20000000000001-1-1100
χ332-22-2222i−2i00-22-22-2-22i2i−2i−2i0200002-20000-22i−2i00002i2i−2i−2i00000000000000000000002-22i−2i000000
χ342-22-2222i−2i00-22-22-2-22i2i−2i−2i0200002-20000-22i−2i00002i2i−2i−2i0000000000000000000000-22−2i2i000000
χ352-22-222−2i2i00-22-22-2-2−2i−2i2i2i0200002-20000-2−2i2i0000−2i−2i2i2i00000000000000000000002-2−2i2i000000
χ362-22-222−2i2i00-22-22-2-2−2i−2i2i2i0200002-20000-2−2i2i0000−2i−2i2i2i0000000000000000000000-222i−2i000000
χ372-2-2222002-2-2-2-2-2220000020000-2-200002002-22-2000022-2-22-22-20000002-22-200000000000000
χ382-2-2222002-2-2-2-2-2220000020000-2-200002002-22-2000022-2-2-22-22000000-22-2200000000000000
χ392-2-222200-22-2-2-2-2220000020000-2-20000200-22-220000-2-2222-2-220000002-2-2200000000000000
χ402-2-222200-22-2-2-2-2220000020000-2-20000200-22-220000-2-222-222-2000000-222-200000000000000
χ412-2-222-1002-2-211-22-1−i3i3−i3i30-100−i3i311−i3−i3i3i3-1002-2-11−i3i3−i3i3-1-1112-22-2000000-11-11−i3i3−i3i30000000000
χ422-2-222-1002-2-211-22-1−i3i3−i3i30-100−i3i311−i3−i3i3i3-1002-2-11−i3i3−i3i3-1-111-22-220000001-11-1i3−i3i3−i30000000000
χ432-2-222-1002-2-211-22-1i3−i3i3−i30-100i3−i311i3i3−i3−i3-1002-2-11i3−i3i3−i3-1-1112-22-2000000-11-11i3−i3i3−i30000000000
χ442-2-222-1002-2-211-22-1i3−i3i3−i30-100i3−i311i3i3−i3−i3-1002-2-11i3−i3i3−i3-1-111-22-220000001-11-1−i3i3−i3i30000000000
χ452-2-222-100-22-211-22-1−i3i3−i3i30-100i3−i311i3i3−i3−i3-100-221-1−i3i3−i3i311-1-12-2-22000000-111-1−i3i3i3−i30000000000
χ462-2-222-100-22-211-22-1−i3i3−i3i30-100i3−i311i3i3−i3−i3-100-221-1−i3i3−i3i311-1-1-222-20000001-1-11i3−i3−i3i30000000000
χ472-2-222-100-22-211-22-1i3−i3i3−i30-100−i3i311−i3−i3i3i3-100-221-1i3−i3i3−i311-1-12-2-22000000-111-1i3−i3−i3i30000000000
χ482-2-222-100-22-211-22-1i3−i3i3−i30-100−i3i311−i3−i3i3i3-100-221-1i3−i3i3−i311-1-1-222-20000001-1-11−i3i3i3−i30000000000
χ494444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2-2-21111111-2-2-2-2-2-2111111110000000000000000000000000000
χ504444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-41222211-1-1-1-11-2-222221111-1-1-1-10000000000000000000000000000
χ514444-2-2-4-444-2-2-2-2-2-22222-41222211-1-1-1-1122-2-2-2-2-1-1-1-111110000000000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2-2-21111111222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5344-4-44400004-44-4-4-40000040000-440000-4000000000000000000000000000000000000000000
χ5444-4-44-2000042-2-4-4223−23−23230-200002-20000200000023−23−232300000000000000000000000000000000
χ5544-4-44-2000042-2-4-42−232323−230-200002-200002000000−232323−2300000000000000000000000000000000
χ5644-4-4-240000-2-4422-400000-2−2i32i3002-2−2i32i3−2i32i32000000000000000000000000000000000000000000
χ5744-4-4-240000-2-4422-400000-22i3−2i3002-22i3−2i32i3−2i32000000000000000000000000000000000000000000
χ5844-4-4-2-20000-22-222223−23−232301−2i32i300-11i3−i3i3−i3-1000000−333−33i−3i3i−3i0000000000000000000000000000
χ5944-4-4-2-20000-22-222223−23−2323012i3−2i300-11−i3i3−i3i3-1000000−333−3−3i3i−3i3i0000000000000000000000000000
χ6044-4-4-2-20000-22-2222−232323−2301−2i32i300-11i3−i3i3−i3-10000003−3−33−3i3i−3i3i0000000000000000000000000000
χ6144-4-4-2-20000-22-2222−232323−23012i3−2i300-11−i3i3−i3i3-10000003−3−333i−3i3i−3i0000000000000000000000000000
χ624-44-44-24i−4i00-4-224-42−2i−2i2i2i0-20000-22000024i−4i0000−2i−2i2i2i00000000000000000000000000000000
χ634-44-44-2−4i4i00-4-224-422i2i−2i−2i0-20000-2200002−4i4i00002i2i−2i−2i00000000000000000000000000000000
χ644-44-4-244i−4i0024-4-22-44i4i−4i−4i0-20000-2200002−2i2i0000−2i−2i2i2i00000000000000000000000000000000
χ654-44-4-24−4i4i0024-4-22-4−4i−4i4i4i0-20000-22000022i−2i00002i2i−2i−2i00000000000000000000000000000000
χ664-44-4-2-24i−4i002-22-222−2i−2i2i2i0100001-13-3-33-1−2i2i0000ii−i−i−3i3i3i−3i0000000000000000000000000000
χ674-44-4-2-24i−4i002-22-222−2i−2i2i2i0100001-1-333-3-1−2i2i0000ii−i−i3i−3i−3i3i0000000000000000000000000000
χ684-44-4-2-2−4i4i002-22-2222i2i−2i−2i0100001-13-3-33-12i−2i0000−i−iii3i−3i−3i3i0000000000000000000000000000
χ694-44-4-2-2−4i4i002-22-2222i2i−2i−2i0100001-1-333-3-12i−2i0000−i−iii−3i3i3i−3i0000000000000000000000000000
χ704-4-44-24004-42-4-42-2400000-20000220000-200-224-40000-2-2220000000000000000000000000000
χ714-4-44-2400-442-4-42-2400000-20000220000-2002-2-44000022-2-20000000000000000000000000000
χ724-4-44-2-2004-42222-2-2−2i32i3−2i32i30100−2i32i3-1-1i3i3−i3−i3100-22-22i3−i3i3−i311-1-10000000000000000000000000000
χ734-4-44-2-2004-42222-2-22i3−2i32i3−2i301002i3−2i3-1-1−i3−i3i3i3100-22-22−i3i3−i3i311-1-10000000000000000000000000000
χ744-4-44-2-200-442222-2-2−2i32i3−2i32i301002i3−2i3-1-1−i3−i3i3i31002-22-2i3−i3i3−i3-1-1110000000000000000000000000000
χ754-4-44-2-200-442222-2-22i3−2i32i3−2i30100−2i32i3-1-1i3i3−i3−i31002-22-2−i3i3−i3i3-1-1110000000000000000000000000000

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