Finite Group Databasebeta

← Group #10595003

Character table — Group #10595003

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order122244443366666612121212121212122346666666666612121212121212121212121222444444224466666612121212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1
χ6111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-11-111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-111-1-1-1-1-1-11111-1-1-11
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111-1
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1111-1
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-111-1-1111111-1-111-1-1-11
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-111111111-1-1-1-11-1-11-1-1111111-1-111-1-1-1-111-1-11-1
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-11
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-111-11
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-111-1-1-1-1-1-111-1-1111111-1-11-1
χ17222222222-1-1-1222-12222-1-1-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122000022202000-1-1-1-1000000-1-1-1-1000000
χ18222222222-1-1-1222-12222-1-1-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-20-200011110000001111000000
χ19222222222-1-1-1222-12222-1-1-1-1-2-1-2-2-211-1-11111-1-2-211-1-1-1-1111122000022-20-2000-1-111000000-1-111000000
χ20222222222-1-1-1222-12222-1-1-1-1-2-1-2-2-211-1-11111-1-2-211-1-1-1-11111-2-20000-2-220200011-1-100000011-1-1000000
χ2122222222-1222-1-1-12-1-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002222000202-1-10000-1-1-1-1-1-10000000000
χ2222222222-1222-1-1-12-1-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-2000-20-21100001111110000000000
χ2322222222-1222-1-1-12-1-1-1-12222-2-1-211-2-2-1-11111-111-2-2-1-1-1-11111002222000-20-2110000-1-1-1-1110000000000
χ2422222222-1222-1-1-12-1-1-1-12222-2-1-211-2-2-1-11111-111-2-2-1-1-1-1111100-2-2-2-2000202-1-100001111-1-10000000000
χ252222-2-2-2-22-1-1-1222-1-2-2-2-211112-1-222-1-1-1-1-1-1-1-1-1-2-21111111111220000-2-2-202000-1-11100000011-1-1000000
χ262222-2-2-2-22-1-1-1222-1-2-2-2-211112-1-222-1-1-1-1-1-1-1-1-1-2-21111111111-2-200002220-200011-1-1000000-1-111000000
χ272222-2-2-2-22-1-1-1222-1-2-2-2-21111-2-12-2-211-1-11111-122-1-11111-1-1-1-1220000-2-220-2000-1-1-1-10000001111000000
χ282222-2-2-2-22-1-1-1222-1-2-2-2-21111-2-12-2-211-1-11111-122-1-11111-1-1-1-1-2-2000022-2020001111000000-1-1-1-1000000
χ292222-2-2-2-2-1222-1-1-121111-2-2-2-22-1-2-1-122-1-1-1-1-1-1-111-2-2111111110022-2-200020-2-1-10000-1-111110000000000
χ302222-2-2-2-2-1222-1-1-121111-2-2-2-22-1-2-1-122-1-1-1-1-1-1-111-2-21111111100-2-222000-20211000011-1-1-1-10000000000
χ312222-2-2-2-2-1222-1-1-121111-2-2-2-2-2-1211-2-2-1-11111-1-1-1221111-1-1-1-10022-2-2000-202110000-1-111-1-10000000000
χ322222-2-2-2-2-1222-1-1-121111-2-2-2-2-2-1211-2-2-1-11111-1-1-1221111-1-1-1-100-2-22200020-2-1-1000011-1-1110000000000
χ3322-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i02000002-20000-200002i2i−2i−2i000000000000000000000000000000002i−2i2-200
χ3422-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i02000002-20000-200002i2i−2i−2i00000000000000000000000000000000−2i2i-2200
χ3522-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i02000002-20000-20000−2i−2i2i2i000000000000000000000000000000002i−2i-2200
χ3622-2-2−2i−2i2i2i222-22-2-2-2−2i−2i2i2i−2i−2i2i2i02000002-20000-20000−2i−2i2i2i00000000000000000000000000000000−2i2i2-200
χ372-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i0200000-220000-200002i−2i2i−2i0000002-22i−2i0000000000002-22i−2i000000000000
χ382-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i0200000-220000-200002i−2i2i−2i000000-22−2i2i000000000000-22−2i2i000000000000
χ392-22-22i−2i2i−2i-12-221-11-2−ii−ii2i−2i2i−2i0-10−i3i3001-1−i3−i3i3i313−300−ii−ii33−3−3002-22i−2i000000−i3i30000-11−ii3−30000000000
χ402-22-22i−2i2i−2i-12-221-11-2−ii−ii2i−2i2i−2i0-10−i3i3001-1−i3−i3i3i313−300−ii−ii33−3−300-22−2i2i000000i3−i300001-1i−i−330000000000
χ412-22-22i−2i2i−2i-12-221-11-2−ii−ii2i−2i2i−2i0-10i3−i3001-1i3i3−i3−i31−3300−ii−ii−3−333002-22i−2i000000i3−i30000-11−ii−330000000000
χ422-22-22i−2i2i−2i-12-221-11-2−ii−ii2i−2i2i−2i0-10i3−i3001-1i3i3−i3−i31−3300−ii−ii−3−33300-22−2i2i000000−i3i300001-1i−i3−30000000000
χ432-22-2−2i2i−2i2i22-22-22-2-2−2i2i−2i2i−2i2i−2i2i0200000-220000-20000−2i2i−2i2i0000002-2−2i2i0000000000002-2−2i2i000000000000
χ442-22-2−2i2i−2i2i22-22-22-2-2−2i2i−2i2i−2i2i−2i2i0200000-220000-20000−2i2i−2i2i000000-222i−2i000000000000-222i−2i000000000000
χ452-22-2−2i2i−2i2i-12-221-11-2i−ii−i−2i2i−2i2i0-10−i3i3001-1−i3−i3i3i31−3300i−ii−i−3−333002-2−2i2i000000−i3i30000-11i−i−330000000000
χ462-22-2−2i2i−2i2i-12-221-11-2i−ii−i−2i2i−2i2i0-10−i3i3001-1−i3−i3i3i31−3300i−ii−i−3−33300-222i−2i000000i3−i300001-1−ii3−30000000000
χ472-22-2−2i2i−2i2i-12-221-11-2i−ii−i−2i2i−2i2i0-10i3−i3001-1i3i3−i3−i313−300i−ii−i33−3−3002-2−2i2i000000i3−i30000-11i−i3−30000000000
χ482-22-2−2i2i−2i2i-12-221-11-2i−ii−i−2i2i−2i2i0-10i3−i3001-1i3i3−i3−i313−300i−ii−i33−3−300-222i−2i000000−i3i300001-1−ii−330000000000
χ492-2-222-2-2222-2-2-2-2222-2-222-2-220200000-2-20000200002-2-2200002-200002-20000002-2000000002-200000000
χ502-2-222-2-2222-2-2-2-2222-2-222-2-220200000-2-20000200002-2-220000-220000-22000000-2200000000-2200000000
χ512-2-222-2-222-111-2-22-12-2-22-111-10-1000−i3i311−i3i3−i3i3-100−i3i3-111-1−i3i3−i3i32-200002-2000000-11−i3i3000000-11−i3i3000000
χ522-2-222-2-222-111-2-22-12-2-22-111-10-1000−i3i311−i3i3−i3i3-100−i3i3-111-1−i3i3−i3i3-220000-220000001-1i3−i30000001-1i3−i3000000
χ532-2-222-2-222-111-2-22-12-2-22-111-10-1000i3−i311i3−i3i3−i3-100i3−i3-111-1i3−i3i3−i32-200002-2000000-11i3−i3000000-11i3−i3000000
χ542-2-222-2-222-111-2-22-12-2-22-111-10-1000i3−i311i3−i3i3−i3-100i3−i3-111-1i3−i3i3−i3-220000-220000001-1−i3i30000001-1−i3i3000000
χ552-2-22-222-222-2-2-2-222-222-2-222-20200000-2-2000020000-222-200002-20000-220000002-200000000-2200000000
χ562-2-22-222-222-2-2-2-222-222-2-222-20200000-2-2000020000-222-20000-2200002-2000000-22000000002-200000000
χ572-2-22-222-22-111-2-22-1-222-21-1-110-1000−i3i311−i3i3−i3i3-100i3−i31-1-11i3−i3i3−i32-20000-22000000-11i3−i30000001-1−i3i3000000
χ582-2-22-222-22-111-2-22-1-222-21-1-110-1000−i3i311−i3i3−i3i3-100i3−i31-1-11i3−i3i3−i3-2200002-20000001-1−i3i3000000-11i3−i3000000
χ592-2-22-222-22-111-2-22-1-222-21-1-110-1000i3−i311i3−i3i3−i3-100−i3i31-1-11−i3i3−i3i32-20000-22000000-11−i3i30000001-1i3−i3000000
χ602-2-22-222-22-111-2-22-1-222-21-1-110-1000i3−i311i3−i3i3−i3-100−i3i31-1-11−i3i3−i3i3-2200002-20000001-1i3−i3000000-11−i3i3000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2111111110000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-41-4222211-1-1-1-1122221111-1-1-1-10000000000000000000000000000000000
χ634444-4-4-4-4-2-2-2-2-2-2-2-22222222241-4-2-2-2-211111112222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ644444-4-4-4-4-2-2-2-2-2-2-2-222222222-414222211-1-1-1-11-2-2-2-2-1-1-1-111110000000000000000000000000000000000
χ6544-4-44i4i−4i−4i4-2-224-4-424i4i−4i−4i−2i−2i2i2i0-200000-22000020000−2i−2i2i2i00000000000000000000000000000000000000
χ6644-4-44i4i−4i−4i-244-4-222-4−2i−2i2i2i4i4i−4i−4i0-200000-22000020000−2i−2i2i2i00000000000000000000000000000000000000
χ6744-4-44i4i−4i−4i-2-2-22-2222−2i−2i2i2i−2i−2i2i2i01000001-13-3-33-10000ii−i−i3i−3i−3i3i0000000000000000000000000000000000
χ6844-4-44i4i−4i−4i-2-2-22-2222−2i−2i2i2i−2i−2i2i2i01000001-1-333-3-10000ii−i−i−3i3i3i−3i0000000000000000000000000000000000
χ6944-4-4−4i−4i4i4i4-2-224-4-42−4i−4i4i4i2i2i−2i−2i0-200000-220000200002i2i−2i−2i00000000000000000000000000000000000000
χ7044-4-4−4i−4i4i4i-244-4-222-42i2i−2i−2i−4i−4i4i4i0-200000-220000200002i2i−2i−2i00000000000000000000000000000000000000
χ7144-4-4−4i−4i4i4i-2-2-22-22222i2i−2i−2i2i2i−2i−2i01000001-13-3-33-10000−i−iii−3i3i3i−3i0000000000000000000000000000000000
χ7244-4-4−4i−4i4i4i-2-2-22-22222i2i−2i−2i2i2i−2i−2i01000001-1-333-3-10000−i−iii3i−3i−3i3i0000000000000000000000000000000000
χ734-44-44i−4i4i−4i4-22-2-44-424i−4i4i−4i−2i2i−2i2i0-2000002-2000020000−2i2i−2i2i00000000000000000000000000000000000000
χ744-44-44i−4i4i−4i-2-22-22-222−2i2i−2i2i−2i2i−2i2i010−2i32i300-11i3i3−i3−i3-123−2300i−ii−i−3−3330000000000000000000000000000000000
χ754-44-44i−4i4i−4i-2-22-22-222−2i2i−2i2i−2i2i−2i2i0102i3−2i300-11−i3−i3i3i3-1−232300i−ii−i33−3−30000000000000000000000000000000000
χ764-44-4−4i4i−4i4i4-22-2-44-42−4i4i−4i4i2i−2i2i−2i0-2000002-20000200002i−2i2i−2i00000000000000000000000000000000000000
χ774-44-4−4i4i−4i4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i010−2i32i300-11i3i3−i3−i3-1−232300−ii−ii33−3−30000000000000000000000000000000000
χ784-44-4−4i4i−4i4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i0102i3−2i300-11−i3−i3i3i3-123−2300−ii−ii−3−3330000000000000000000000000000000000
χ794-4-444-4-44-24-4-422-24-222-24-4-440-200000220000-20000-222-200000000000000000000000000000000000000
χ804-4-444-4-44-2-22222-2-2-222-2-222-201000−2i32i3-1-1i3−i3i3−i3100−2i32i31-1-11i3−i3i3−i30000000000000000000000000000000000
χ814-4-444-4-44-2-22222-2-2-222-2-222-2010002i3−2i3-1-1−i3i3−i3i31002i3−2i31-1-11−i3i3−i3i30000000000000000000000000000000000
χ824-4-44-444-4-24-4-422-242-2-22-444-40-200000220000-200002-2-2200000000000000000000000000000000000000
χ834-4-44-444-4-2-22222-2-22-2-222-2-2201000−2i32i3-1-1i3−i3i3−i31002i3−2i3-111-1−i3i3−i3i30000000000000000000000000000000000
χ844-4-44-444-4-2-22222-2-22-2-222-2-22010002i3−2i3-1-1−i3i3−i3i3100−2i32i3-111-1i3−i3i3−i30000000000000000000000000000000000

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