Finite Group Databasebeta

← Group #13167590

Character table — Group #13167590

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112224444444444888888888888888888888181836363636363636363672727272727272727272727272727272
order122362336666666336666666666666666666222222444664446666121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111111-1-1-111-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111-1-1111-1-1-1-1111-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11-1-111-111-1-1-1-11-1-1-1-11111
χ511111-111111-1-11111-11-1-1-1111111-1-1-1-1-1-1-1-1111-111-11-111-11-11-111-11-1-1-111-1-1
χ611111-111111-1-11111-11-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11-1111-111-1-1-1-11-111-1-111
χ711111-111111-1-11111-11-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-1111-1-11-1111-1-11-1-1-1-111
χ811111-111111-1-11111-11-1-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-111111-1-11-1-1-1-111111-1-1
χ9222222222222222222222222222222222222-2-20000-200-2-20000000-200000000
χ1022222-222222-2-22222-22-2-2-2222222-2-2-2-2-2-2-2-2-2-20000200-2-20000000200000000
χ11222-1-1222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000200-1-10220000-10000-1-1-1-1
χ12222-1-1222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000200-1-10-2-20000-100001111
χ13222-1-1222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-200110000000100003−33−3
χ14222-1-1222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-20011000000010000−33−33
χ15222-1-1-222-122-2-222-1-112-2-2-2-1-1-1-1-1-111111111220000-200-1-102-2000010000-1-111
χ16222-1-1-222-122-2-222-1-112-2-2-2-1-1-1-1-1-111111111220000-200-1-10-2200001000011-1-1
χ17222-1-1-222-122-2-222-1-112-2-2-2-1-1-1-1-1-111111111-2-20000200110000000-100003−3−33
χ18222-1-1-222-122-2-222-1-112-2-2-2-1-1-1-1-1-111111111-2-20000200110000000-10000−333−3
χ1922-222022-22-2002-2220-200022-2-2-2-2000000002-2020000-22-2000020000-2000000
χ2022-222022-22-2002-2220-200022-2-2-2-2000000002-20-2000022-20000-200002000000
χ2122-222022-22-2002-2220-200022-2-2-2-200000000-2220000-20-2200020000-20000000
χ2222-222022-22-2002-2220-200022-2-2-2-200000000-22-2000020-22000-2000020000000
χ234444441-2411-2-2-211-24-211-21-211-2-21111-2-2-2-20000220000020000-1-1000-1-10000
χ244444441-2411-2-2-211-24-211-21-211-2-21111-2-2-2-20000-2-200000-2000011000110000
χ25444444-214-2-2111-2-2141-2-21-21-2-211-2-2-2-2111100220002200000-1-1000-1-1000000
χ26444444-214-2-2111-2-2141-2-21-21-2-211-2-2-2-2111100-2-2000-2-2000001100011000000
χ2744444-41-241122-211-2-4-2-1-121-211-2-2-1-1-1-1222200002200000-20000-1-1000110000
χ2844444-41-241122-211-2-4-2-1-121-211-2-2-1-1-1-122220000-2-2000002000011000-1-10000
χ2944444-4-214-2-2-1-11-2-21-4122-1-21-2-2112222-1-1-1-1002-20002-200000-11000-11000000
χ3044444-4-214-2-2-1-11-2-21-4122-1-21-2-2112222-1-1-1-100-22000-22000001-10001-1000000
χ3144-4440-21-4-223312-210-100-3-2122-1-1000033-3-3002-2000-2200000-110001-1000000
χ3244-4440-21-4-223312-210-100-3-2122-1-1000033-3-300-220002-2000001-1000-11000000
χ3344-4440-21-4-22-3-312-210-1003-2122-1-10000-3-3330022000-2-200000-1-100011000000
χ3444-4440-21-4-22-3-312-210-1003-2122-1-10000-3-33300-2-2000220000011000-1-1000000
χ3544-4-2-204424-4004-4-2-20-4000-2-22222000000004-40000000-220000000000000000
χ3644-4-2-204424-4004-4-2-20-4000-2-2222200000000-4400000002-20000000000000000
χ374-404-401-20-13−2i32i32-31-200−i3i30-123-300−i3−i3i3i3−2i32i30000002-200000000001-1000−i3i30000
χ384-404-401-20-13−2i32i32-31-200−i3i30-123-300−i3−i3i3i3−2i32i3000000-220000000000-11000i3−i30000
χ394-404-401-20-132i3−2i32-31-200i3−i30-123-300i3i3−i3−i32i3−2i30000002-200000000001-1000i3−i30000
χ404-404-401-20-132i3−2i32-31-200i3−i30-123-300i3i3−i3−i32i3−2i3000000-220000000000-11000−i3i30000
χ414-404-40440-4000-404400000-4-400000000000000002-20000000000-22000000000
χ424-404-40440-4000-404400000-4-40000000000000000-2200000000002-2000000000
χ43888-4-482-4-422-4-4-42-12-4-422-4-12-1-122-1-1-1-12222000000000000000000000000000
χ44888-4-48-42-4-4-4222-42-1-42-4-422-122-1-12222-1-1-1-1000000000000000000000000000
χ45888-4-4-82-4-42244-42-124-4-2-24-12-1-1221111-2-2-2-2000000000000000000000000000
χ46888-4-4-8-42-4-4-4-2-22-42-14244-22-122-1-1-2-2-2-21111000000000000000000000000000
χ4788-88802-4-82-200-4-22-4040002-4-2-24400000000000000000000000000000000000
χ4888-8-4-402-442-200-4-2-1204000-1211-2-2−3i33i3−3i33i30000000000000000000000000000000
χ4988-8-4-402-442-200-4-2-1204000-1211-2-23i3−3i33i3−3i30000000000000000000000000000000
χ5088-8-4-40-424-4466242-10-200-62-1-2-2110000-3-333000000000000000000000000000
χ5188-8-4-40-424-44-6-6242-10-20062-1-2-211000033-3-3000000000000000000000000000
χ528-808-802-40-2-600462-400000-24-660000000000000000000000000000000000000
χ538-808-80-42040−2i32i3-20-42002i3−2i304-200002i32i3−2i3−2i3−2i32i300000000000000000000000000000
χ548-808-80-420402i3−2i3-20-4200−2i32i304-20000−2i3−2i32i32i32i3−2i300000000000000000000000000000
χ558-80-4402-40-26−4i34i34-6-1200−2i32i301-2-3300i3i3−i3−i32i3−2i300000000000000000000000000000
χ568-80-4402-40-264i3−4i34-6-12002i3−2i301-2-3300−i3−i3i3i3−2i32i300000000000000000000000000000
χ578-80-4402-40-2-60046-12000001-23-3003-3-33006-6000000000000000000000000000
χ588-80-4402-40-2-60046-12000001-23-300-333-300-66000000000000000000000000000
χ598-80-440880-8000-80-4-40000044000000000000000000000000000000000000000
χ608-80-440-42040−2i32i3-202-1002i3−2i30-2100−3i33i33−i3−3−i3−3+i33+i3i3−i3-33000000000000000000000000000
χ618-80-440-42040−2i32i3-202-1002i3−2i30-21003i3−3i3−3−i33−i33+i3−3+i3i3−i33-3000000000000000000000000000
χ628-80-440-420402i3−2i3-202-100−2i32i30-2100−3i33i3−3+i33+i33−i3−3−i3−i3i33-3000000000000000000000000000
χ638-80-440-420402i3−2i3-202-100−2i32i30-21003i3−3i33+i3−3+i3−3−i33−i3−i3i3-33000000000000000000000000000

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