Finite Group Databasebeta

← Group #13147307

Character table — Group #13147307

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size123666666666666666666666663648489696108144144123666666666666666666666663648489696108144144
order13222366666666666666666666233334662622266666666666666666666626666466
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111111111111111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ3111111111111111111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111111111111111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ411111111111111111111111111-11111-1-1-111111111111111111111111111-11111-1-1-1
χ511111111111111111111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111111111111111111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ611111111111111111111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111111111111111111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ722222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1022-1-100022222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1022-1-1000
χ822222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10−1+i3−1−i31−i321+i3200022222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10−1+i3−1−i31−i321+i32000
χ922222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10−1−i3−1+i31+i321−i3200022222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10−1−i3−1+i31+i321−i32000
χ10333-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-130000-100333-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-130000-100
χ11333-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-30000100333-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-30000100
χ12666-2-2-36-2-2-2-2-3-3-311111111111100000000666-2-2-36-2-2-2-2-3-3-311111111111100000000
χ1366-22-26-222-2-2-2-2-2222222-2-2-2-2-2-20000000066-22-26-222-2-2-2-2-2222222-2-2-2-2-2-200000000
χ1466-22-2-3-222-2-2111−1+2i3−1+2i3−1+2i3−1−2i3−1−2i3−1−2i31111110000000066-22-2-3-222-2-2111−1+2i3−1+2i3−1+2i3−1−2i3−1−2i3−1−2i311111100000000
χ1566-22-2-3-222-2-2111−1−2i3−1−2i3−1−2i3−1+2i3−1+2i3−1+2i31111110000000066-22-2-3-222-2-2111−1−2i3−1−2i3−1−2i3−1+2i3−1+2i3−1+2i311111100000000
χ1666-2-226-2-2-222-2-2-2-2-2-2-2-2-22222220000000066-2-226-2-2-222-2-2-2-2-2-2-2-2-222222200000000
χ1766-2-22-3-2-2-222111111111−1+2i3−1+2i3−1+2i3−1−2i3−1−2i3−1−2i30000000066-2-22-3-2-2-222111111111−1+2i3−1+2i3−1+2i3−1−2i3−1−2i3−1−2i300000000
χ1866-2-22-3-2-2-222111111111−1−2i3−1−2i3−1−2i3−1+2i3−1+2i3−1+2i30000000066-2-22-3-2-2-222111111111−1−2i3−1−2i3−1−2i3−1+2i3−1+2i3−1+2i300000000
χ196-36660-3-3-3-3-3000000000000000000000006-36660-3-3-3-3-300000000000000000000000
χ206-36-2-20-311110004-2-24-2-24-2-24-2-2000000006-36-2-20-311110004-2-24-2-24-2-24-2-200000000
χ216-36-2-20-31111000-24-2-24-2-24-2-24-2000000006-36-2-20-31111000-24-2-24-2-24-2-24-200000000
χ226-36-2-20-31111000-2-24-2-24-2-24-2-24000000006-36-2-20-31111000-2-24-2-24-2-24-2-2400000000
χ236-3-22-201−1+2i3−1−2i3114-2-22−1+i3−1−i32−1−i3−1+i3−2+2i31−i31−i3−2−2i31+i31+i3000000006-3-22-201−1+2i3−1−2i3114-2-22−1+i3−1−i32−1−i3−1+i3−2+2i31−i31−i3−2−2i31+i31+i300000000
χ246-3-22-201−1+2i3−1−2i311-24-2−1+i3−1−i32−1−i3−1+i321−i31−i3−2+2i31+i31+i3−2−2i3000000006-3-22-201−1+2i3−1−2i311-24-2−1+i3−1−i32−1−i3−1+i321−i31−i3−2+2i31+i31+i3−2−2i300000000
χ256-3-22-201−1+2i3−1−2i311-2-24−1−i32−1+i3−1+i32−1−i31−i3−2+2i31−i31+i3−2−2i31+i3000000006-3-22-201−1+2i3−1−2i311-2-24−1−i32−1+i3−1+i32−1−i31−i3−2+2i31−i31+i3−2−2i31+i300000000
χ266-3-22-201−1−2i3−1+2i3114-2-22−1−i3−1+i32−1+i3−1−i3−2−2i31+i31+i3−2+2i31−i31−i3000000006-3-22-201−1−2i3−1+2i3114-2-22−1−i3−1+i32−1+i3−1−i3−2−2i31+i31+i3−2+2i31−i31−i300000000
χ276-3-22-201−1−2i3−1+2i311-24-2−1−i3−1+i32−1+i3−1−i321+i31+i3−2−2i31−i31−i3−2+2i3000000006-3-22-201−1−2i3−1+2i311-24-2−1−i3−1+i32−1+i3−1−i321+i31+i3−2−2i31−i31−i3−2+2i300000000
χ286-3-22-201−1−2i3−1+2i311-2-24−1+i32−1−i3−1−i32−1+i31+i3−2−2i31+i31−i3−2+2i31−i3000000006-3-22-201−1−2i3−1+2i311-2-24−1+i32−1−i3−1−i32−1+i31+i3−2−2i31+i31−i3−2+2i31−i300000000
χ296-3-2-220111−1+2i3−1−2i34-2-2−2+2i31−i31−i3−2−2i31+i31+i32−1+i3−1−i32−1−i3−1+i3000000006-3-2-220111−1+2i3−1−2i34-2-2−2+2i31−i31−i3−2−2i31+i31+i32−1+i3−1−i32−1−i3−1+i300000000
χ306-3-2-220111−1+2i3−1−2i3-24-21−i31−i3−2+2i31+i31+i3−2−2i3−1+i3−1−i32−1−i3−1+i32000000006-3-2-220111−1+2i3−1−2i3-24-21−i31−i3−2+2i31+i31+i3−2−2i3−1+i3−1−i32−1−i3−1+i3200000000
χ316-3-2-220111−1+2i3−1−2i3-2-241−i3−2+2i31−i31+i3−2−2i31+i3−1−i32−1+i3−1+i32−1−i3000000006-3-2-220111−1+2i3−1−2i3-2-241−i3−2+2i31−i31+i3−2−2i31+i3−1−i32−1+i3−1+i32−1−i300000000
χ326-3-2-220111−1−2i3−1+2i34-2-2−2−2i31+i31+i3−2+2i31−i31−i32−1−i3−1+i32−1+i3−1−i3000000006-3-2-220111−1−2i3−1+2i34-2-2−2−2i31+i31+i3−2+2i31−i31−i32−1−i3−1+i32−1+i3−1−i300000000
χ336-3-2-220111−1−2i3−1+2i3-24-21+i31+i3−2−2i31−i31−i3−2+2i3−1−i3−1+i32−1+i3−1−i32000000006-3-2-220111−1−2i3−1+2i3-24-21+i31+i3−2−2i31−i31−i3−2+2i3−1−i3−1+i32−1+i3−1−i3200000000
χ346-3-2-220111−1−2i3−1+2i3-2-241+i3−2−2i31+i31−i3−2+2i31−i3−1+i32−1−i3−1−i32−1+i3000000006-3-2-220111−1−2i3−1+2i3-2-241+i3−2−2i31+i31−i3−2+2i31−i3−1+i32−1−i3−1−i32−1+i300000000
χ351111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ36111111111111111111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32
χ37111111111111111111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32
χ3811111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111
χ3911111111111111111111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i321+i321−i321+i321−1+i32−1−i32
χ4011111111111111111111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111+i321−i321+i321−i321−1−i32−1+i32
χ4122222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1022-1-1000-2-2-2-2-21-2-2-2-2-21111111111111110-2-211000
χ4222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10−1+i3−1−i31−i321+i32000-2-2-2-2-21-2-2-2-2-211111111111111101−i31+i3−1+i32−1−i32000
χ4322222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10−1−i3−1+i31+i321−i32000-2-2-2-2-21-2-2-2-2-211111111111111101+i31−i3−1−i32−1+i32000
χ44333-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-130000-100-3-3-311-3-31111-3-3-3111111111111-30000100
χ45333-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-30000100-3-3-311-3-31111-3-3-311111111111130000-100
χ46666-2-2-36-2-2-2-2-3-3-311111111111100000000-6-6-6223-62222333-1-1-1-1-1-1-1-1-1-1-1-100000000
χ4766-22-26-222-2-2-2-2-2222222-2-2-2-2-2-200000000-6-62-22-62-2-222222-2-2-2-2-2-222222200000000
χ4866-22-2-3-222-2-2111−1+2i3−1+2i3−1+2i3−1−2i3−1−2i3−1−2i311111100000000-6-62-2232-2-222-1-1-11−2i31−2i31−2i31+2i31+2i31+2i3-1-1-1-1-1-100000000
χ4966-22-2-3-222-2-2111−1−2i3−1−2i3−1−2i3−1+2i3−1+2i3−1+2i311111100000000-6-62-2232-2-222-1-1-11+2i31+2i31+2i31−2i31−2i31−2i3-1-1-1-1-1-100000000
χ5066-2-226-2-2-222-2-2-2-2-2-2-2-2-222222200000000-6-622-2-6222-2-2222222222-2-2-2-2-2-200000000
χ5166-2-22-3-2-2-222111111111−1+2i3−1+2i3−1+2i3−1−2i3−1−2i3−1−2i300000000-6-622-23222-2-2-1-1-1-1-1-1-1-1-11−2i31−2i31−2i31+2i31+2i31+2i300000000
χ5266-2-22-3-2-2-222111111111−1−2i3−1−2i3−1−2i3−1+2i3−1+2i3−1+2i300000000-6-622-23222-2-2-1-1-1-1-1-1-1-1-11+2i31+2i31+2i31−2i31−2i31−2i300000000
χ536-36660-3-3-3-3-300000000000000000000000-63-6-6-603333300000000000000000000000
χ546-36-2-20-311110004-2-24-2-24-2-24-2-200000000-63-62203-1-1-1-1000-422-422-422-42200000000
χ556-36-2-20-31111000-24-2-24-2-24-2-24-200000000-63-62203-1-1-1-10002-422-422-422-4200000000
χ566-36-2-20-31111000-2-24-2-24-2-24-2-2400000000-63-62203-1-1-1-100022-422-422-422-400000000
χ576-3-22-201−1+2i3−1−2i3114-2-22−1+i3−1−i32−1−i3−1+i3−2+2i31−i31−i3−2−2i31+i31+i300000000-632-220-11−2i31+2i3-1-1-422-21−i31+i3-21+i31−i32−2i3−1+i3−1+i32+2i3−1−i3−1−i300000000
χ586-3-22-201−1+2i3−1−2i311-24-2−1+i3−1−i32−1−i3−1+i321−i31−i3−2+2i31+i31+i3−2−2i300000000-632-220-11−2i31+2i3-1-12-421−i31+i3-21+i31−i3-2−1+i3−1+i32−2i3−1−i3−1−i32+2i300000000
χ596-3-22-201−1+2i3−1−2i311-2-24−1−i32−1+i3−1+i32−1−i31−i3−2+2i31−i31+i3−2−2i31+i300000000-632-220-11−2i31+2i3-1-122-41+i3-21−i31−i3-21+i3−1+i32−2i3−1+i3−1−i32+2i3−1−i300000000
χ606-3-22-201−1−2i3−1+2i3114-2-22−1−i3−1+i32−1+i3−1−i3−2−2i31+i31+i3−2+2i31−i31−i300000000-632-220-11+2i31−2i3-1-1-422-21+i31−i3-21−i31+i32+2i3−1−i3−1−i32−2i3−1+i3−1+i300000000
χ616-3-22-201−1−2i3−1+2i311-24-2−1−i3−1+i32−1+i3−1−i321+i31+i3−2−2i31−i31−i3−2+2i300000000-632-220-11+2i31−2i3-1-12-421+i31−i3-21−i31+i3-2−1−i3−1−i32+2i3−1+i3−1+i32−2i300000000
χ626-3-22-201−1−2i3−1+2i311-2-24−1+i32−1−i3−1−i32−1+i31+i3−2−2i31+i31−i3−2+2i31−i300000000-632-220-11+2i31−2i3-1-122-41−i3-21+i31+i3-21−i3−1−i32+2i3−1−i3−1+i32−2i3−1+i300000000
χ636-3-2-220111−1+2i3−1−2i34-2-2−2+2i31−i31−i3−2−2i31+i31+i32−1+i3−1−i32−1−i3−1+i300000000-6322-20-1-1-11−2i31+2i3-4222−2i3−1+i3−1+i32+2i3−1−i3−1−i3-21−i31+i3-21+i31−i300000000
χ646-3-2-220111−1+2i3−1−2i3-24-21−i31−i3−2+2i31+i31+i3−2−2i3−1+i3−1−i32−1−i3−1+i3200000000-6322-20-1-1-11−2i31+2i32-42−1+i3−1+i32−2i3−1−i3−1−i32+2i31−i31+i3-21+i31−i3-200000000
χ656-3-2-220111−1+2i3−1−2i3-2-241−i3−2+2i31−i31+i3−2−2i31+i3−1−i32−1+i3−1+i32−1−i300000000-6322-20-1-1-11−2i31+2i322-4−1+i32−2i3−1+i3−1−i32+2i3−1−i31+i3-21−i31−i3-21+i300000000
χ666-3-2-220111−1−2i3−1+2i34-2-2−2−2i31+i31+i3−2+2i31−i31−i32−1−i3−1+i32−1+i3−1−i300000000-6322-20-1-1-11+2i31−2i3-4222+2i3−1−i3−1−i32−2i3−1+i3−1+i3-21+i31−i3-21−i31+i300000000
χ676-3-2-220111−1−2i3−1+2i3-24-21+i31+i3−2−2i31−i31−i3−2+2i3−1−i3−1+i32−1+i3−1−i3200000000-6322-20-1-1-11+2i31−2i32-42−1−i3−1−i32+2i3−1+i3−1+i32−2i31+i31−i3-21−i31+i3-200000000
χ686-3-2-220111−1−2i3−1+2i3-2-241+i3−2−2i31+i31−i3−2+2i31−i3−1+i32−1−i3−1−i32−1+i300000000-6322-20-1-1-11+2i31−2i322-4−1−i32+2i3−1−i3−1+i32−2i3−1+i31−i3-21+i31+i3-21−i300000000

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