Finite Group Databasebeta

← Group #13088420

Character table — Group #13088420

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222444455668888101010101010121216161820202020202020202020242424242424303030303030454545456060606060607290
order123366356102244151530304466661212153046612121212121212122020606060604444444444121212121212204
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ31111111111111-111111111111-111-111111111111-111-1-11-111-1-1-1-1-1-11-111-1-1-1-1
χ41111111111111-11111-1-111111-111-111-1-1-1-1-1-1-1-11-111-1-11-1-1-11111111-1-1-111-1-1
χ5111111111111-111111111111-1111-11111111111-11-1-111-11-1-111-1-1-1-1-11-1-111-1-1
χ6111111111111-111111-1-11111-1111-111-1-1-1-1-1-1-1-1-11-1-111-1111-1-11111-1111-1-1-1-1
χ7111111111111-1-11111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111-1-11111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ91111111111-1-1111111i−i-1-1-1-111111-1-1ii−i−iii−i−i111111-1-1i−ii−iii−i−i-1-1i−ii−i1-1
χ101111111111-1-1111111−ii-1-1-1-111111-1-1−i−iii−i−iii111111-1-1−ii−ii−i−iii-1-1−ii−ii1-1
χ111111111111-1-11-11111i−i-1-1-1-11-111-1-1-1ii−i−iii−i−i1-111-1-1-11i−i−ii−i−iii-11i−i−ii-11
χ121111111111-1-11-11111−ii-1-1-1-11-111-1-1-1−i−iii−i−iii1-111-1-1-11−iii−iii−i−i-11−iii−i-11
χ131111111111-1-1-111111i−i-1-1-1-1-1111-1-1-1ii−i−iii−i−i-11-1-1111-1−iii−i−i−iii1-1−iii−i-11
χ141111111111-1-1-111111−ii-1-1-1-1-1111-1-1-1−i−iii−i−iii-11-1-1111-1i−i−iiii−i−i1-1i−i−ii-11
χ151111111111-1-1-1-11111i−i-1-1-1-1-1-1111-1-1ii−i−iii−i−i-1-1-1-1-1-111−ii−iiii−i−i11−ii−ii1-1
χ161111111111-1-1-1-11111−ii-1-1-1-1-1-1111-1-1−i−iii−i−iii-1-1-1-1-1-111i−ii−i−i−iii11i−ii−i1-1
χ17222-12-1-12-1222022-12-1222-12-10-1-1-10-1-12-12-1-1-1-1-10200-1-102002200000-100-1-100
χ18222-12-1-12-1222022-12-1-2-22-12-10-1-1-10-1-1-21-2111110200-1-10200-2-200000-1001100
χ19222-12-1-12-12220-22-12-1222-12-101-1-10-1-12-12-1-1-1-1-10-200110-200-2-2000001001100
χ20222-12-1-12-12220-22-12-1-2-22-12-101-1-10-1-1-21-2111110-200110-2002200000100-1-100
χ21222-12-1-12-12-2-2022-12-12i−2i-21-210-1-1-10112i−i−2ii−i−iii0200-1-10-2002i−2i00000100−ii00
χ22222-12-1-12-12-2-2022-12-1−2i2i-21-210-1-1-1011−2ii2i−iii−i−i0200-1-10-200−2i2i00000100i−i00
χ23222-12-1-12-12-2-20-22-12-12i−2i-21-2101-1-10112i−i−2ii−i−iii0-200110200−2i2i00000-100i−i00
χ24222-12-1-12-12-2-20-22-12-1−2i2i-21-2101-1-1011−2ii2i−iii−i−i0-2001102002i−2i00000-100−ii00
χ2522-12-12-12-122220-12-1222-12-12-10-1-10-1-1-12-12-1-1-1-120-1-1002022000000-10-1-10000
χ2622-12-12-12-122220-12-12-2-2-12-12-10-1-10-1-11-21-2111120-1-10020-2-2000000-10110000
χ2722-12-12-12-1222-20-12-1222-12-1210-1-10-1-1-12-12-1-1-1-1-201100-20-2-200000010110000
χ2822-12-12-12-1222-20-12-12-2-2-12-1210-1-10-1-11-21-21111-201100-202200000010-1-10000
χ2922-12-12-12-12-2-220-12-122i−2i1-21-2-10-1-1011−i2ii−2i−i−iii20-1-100-202i−2i00000010−ii0000
χ3022-12-12-12-12-2-220-12-12−2i2i1-21-2-10-1-1011i−2i−i2iii−i−i20-1-100-20−2i2i00000010i−i0000
χ3122-12-12-12-12-2-2-20-12-122i−2i1-21-210-1-1011−i2ii−2i−i−iii-20110020−2i2i000000-10i−i0000
χ3222-12-12-12-12-2-2-20-12-12−2i2i1-21-210-1-1011i−2i−i2iii−i−i-201100202i−2i000000-10−ii0000
χ332-222-2-222-2-22-20022-2-200-2-222002-20-22000000000000000000002i−2i2i−2i00000000
χ342-222-2-222-2-22-20022-2-200-2-222002-20-2200000000000000000000−2i2i−2i2i00000000
χ352-222-2-222-2-2-220022-2-20022-2-2002-202-2000000000000000000002-2-2200000000
χ362-222-2-222-2-2-220022-2-20022-2-2002-202-200000000000000000000-222-200000000
χ374444444-14-10044-1-1-1-100000044-1-140000000000-1-1-1-1-1-10000000000000000-10
χ384444444-14-1004-4-1-1-1-10000004-4-1-1-40000000000-11-1-111000000000000000010
χ394444444-14-100-44-1-1-1-1000000-44-1-1-400000000001-111-1-1000000000000000010
χ404444444-14-100-4-4-1-1-1-1000000-4-4-1-1400000000001111110000000000000000-10
χ4144-2-2-2-214144400-2-2-2-244-2-2-2-20011011-2-2-2-21111000000000000000000000000
χ4244-2-2-2-214144400-2-2-2-2-4-4-2-2-2-200110112222-1-1-1-1000000000000000000000000
χ4344-2-2-2-21414-4-400-2-2-2-24i−4i222200110-1-1−2i−2i2i2iii−i−i000000000000000000000000
χ4444-2-2-2-21414-4-400-2-2-2-2−4i4i222200110-1-12i2i−2i−2i−i−iii000000000000000000000000
χ454-44-2-42-242-44-4004-2-4200-424-200-2202-200000000000000000000000000000000
χ464-44-2-42-242-4-44004-2-42004-2-4200-220-2200000000000000000000000000000000
χ474-4-242-4-242-44-400-242-4002-4-2400-2202-200000000000000000000000000000000
χ484-4-242-4-242-4-4400-242-400-242-400-220-2200000000000000000000000000000000
χ494-4-2-22214-1-44-400-2-2220022-2-2001-10-1100003-33-3000000000000000000000000
χ504-4-2-22214-1-44-400-2-2220022-2-2001-10-110000-33-33000000000000000000000000
χ514-4-2-22214-1-4-4400-2-22200-2-222001-101-100003i−3i−3i3i000000000000000000000000
χ524-4-2-22214-1-4-4400-2-22200-2-222001-101-10000−3i3i3i−3i000000000000000000000000
χ53888-48-4-4-2-4-20008-21-210000000-411000000000000-20011000000000000000000
χ54888-48-4-4-2-4-2000-8-21-210000000411000000000000200-1-1000000000000000000
χ5588-48-48-4-2-4-200801-21-2000000-401100000000000-201100000000000000000000
χ5688-48-48-4-2-4-200-801-21-200000040110000000000020-1-100000000000000000000
χ578-888-8-88-2-820000-2-22200000000-2200000000000000000000000000000000000
χ588-88-4-84-4-2420000-212-1000000001-1000000000000000−1515000000000000000000
χ598-88-4-84-4-2420000-212-1000000001-100000000000000015−15000000000000000000
χ608-8-484-8-4-24200001-2-12000000001-10000000000000−151500000000000000000000
χ618-8-484-8-4-24200001-2-12000000001-1000000000000015−1500000000000000000000
χ621616-8-8-8-84-44-40000222200000000-1-100000000000000000000000000000000000
χ6316-16-8-8884-4-44000022-2-200000000-1100000000000000000000000000000000000

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