Finite Group Databasebeta

← Group #13026934

Character table — Group #13026934

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222224444444488888888888888101010101010101010101010161620202020202020202020202020202020202032323232808080808080
order122222444458888101010101020202020404040404040404022448888888824241616161616161616161616161616161610102020444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−i
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111−i−iii
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111ii−i−i
χ91111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1111111-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-111-11-1
χ101111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-11-11
χ111111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1111111-1-1-1-111-11-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-11-11
χ121111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1111111-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-11-1
χ131111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-11-111iiii−i−i−i−i−i−i−i−iiiii11-1-11-1i−i−ii
χ141111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-11-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1−iii−i
χ151111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111iiii−i−i−i−i−i−i−i−iiiii-1-111-11−iii−i
χ161111-1-11-1-11111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111−i−i−i−iiiiiiiii−i−i−i−i-1-111-11i−i−ii
χ1722222222222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2002200000000000000000000000000
χ1822222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222222200-2-200000000000000000000000000
χ19222222-2-2-2-22000022222-2-2-2-20000000022-2-200000000002-222−2−222−2−222−2−222−2−20000000000
χ20222222-2-2-2-22000022222-2-2-2-20000000022-2-200000000002-2−2−222−2−222−2−222−2−2220000000000
χ21222222-2-2-2-22000022222-2-2-2-200000000-2-2220000000000-22i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000
χ22222222-2-2-2-22000022222-2-2-2-200000000-2-2220000000000-22−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000
χ232222-2-22-2-222-2-222222-2-22-2-22-2-2-2-222222222-2-22222-2-200-2-200000000000000000000000000
χ242222-2-22-2-222-2-222222-2-22-2-22-2-2-2-22222-2-2-2-222-2-2-2-222002200000000000000000000000000
χ252222-2-2-222-220000222-2-2-222-20000000022-2-20000000000-2222−2−2−2−22222−2−2−2−2220000000000
χ262222-2-2-222-220000222-2-2-222-20000000022-2-20000000000-22−2−22222−2−2−2−22222−2−20000000000
χ272222-2-2-222-220000222-2-2-222-200000000-2-22200000000002-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000
χ282222-2-2-222-220000222-2-2-222-200000000-2-22200000000002-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000
χ292-2-2200200-22002i−2i-22-200200-200002i2i−2i−2i2-22-2002i2i−2i−2i000000i2−i2i2−i22−22−2i2−i2i2−i22−22−20000000000
χ302-2-2200200-22002i−2i-22-200200-200002i2i−2i−2i2-22-2002i2i−2i−2i000000−i2i2−i2i2−22−22−i2i2−i2i2−22−220000000000
χ312-2-2200200-22002i−2i-22-200200-200002i2i−2i−2i-22-2200−2i−2i2i2i0000002−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000
χ322-2-2200200-22002i−2i-22-200200-200002i2i−2i−2i-22-2200−2i−2i2i2i000000−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000
χ332-2-2200200-2200−2i2i-22-200200-20000−2i−2i2i2i2-22-200−2i−2i2i2i000000i2−i2i2−i2−22−22i2−i2i2−i2−22−220000000000
χ342-2-2200200-2200−2i2i-22-200200-20000−2i−2i2i2i2-22-200−2i−2i2i2i000000−i2i2−i2i22−22−2−i2i2−i2i22−22−20000000000
χ352-2-2200200-2200−2i2i-22-200200-20000−2i−2i2i2i-22-22002i2i−2i−2i0000002−22−2i2−i2i2−i2−22−22−i2i2−i2i20000000000
χ362-2-2200200-2200−2i2i-22-200200-20000−2i−2i2i2i-22-22002i2i−2i−2i000000−22−22−i2i2−i2i22−22−2i2−i2i2−i20000000000
χ372-2-2200-200222-200-22-200-200222-2-200002-2-22220000-2-200002i−2i−2i2i00002i−2i−2i2i00000000000000
χ382-2-2200-200222-200-22-200-200222-2-200002-2-22220000-2-20000−2i2i2i−2i0000−2i2i2i−2i00000000000000
χ392-2-2200-200222-200-22-200-200222-2-20000-222-2-2-200002200002-2-220000-222-200000000000000
χ402-2-2200-200222-200-22-200-200222-2-20000-222-2-2-20000220000-222-200002-2-2200000000000000
χ412-2-2200-20022-2200-22-200-2002-2-22200002-2-22-2-2000022000000002-2-2200002-2-220000000000
χ422-2-2200-20022-2200-22-200-2002-2-22200002-2-22-2-200002200000000-222-20000-222-20000000000
χ432-2-2200-20022-2200-22-200-2002-2-2220000-222-2220000-2-2000000002i−2i−2i2i0000−2i2i2i−2i0000000000
χ442-2-2200-20022-2200-22-200-2002-2-2220000-222-2220000-2-200000000−2i2i2i−2i00002i−2i−2i2i0000000000
χ454444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000044000000000000000000-1-1-1-1000000
χ464444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-4-40000000000000000001111000000
χ474444444444-1-4-4-4-4-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000005−55−5000000
χ484444444444-1-4-4-4-4-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000−55−55000000
χ494444-4-44-4-44-144-4-4-1-1-111-111-1-1-1-1-111110000000000004-4000000000000000000-1-111000000
χ504444-4-44-4-44-144-4-4-1-1-111-111-1-1-1-1-11111000000000000-4400000000000000000011-1-1000000
χ514444-4-44-4-44-1-4-444-1-1-111-111-11111-1-1-1-1000000000000000000000000000000005−5−55000000
χ524444-4-44-4-44-1-4-444-1-1-111-111-11111-1-1-1-100000000000000000000000000000000−555−5000000
χ5344-4-44-4000040000-4-444-400000000000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000
χ5444-4-44-4000040000-4-444-40000000000000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000
χ5544-4-4-44000040000-4-44-4400000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ5644-4-4-44000040000-4-44-440000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ574-44-40004i−4i0400004-4-40004i−4i00000000000002i2−2i222−22−2222−2i22i2000000000000000000000000000000
χ584-44-40004i−4i0400004-4-40004i−4i0000000000000−2i22i2−222222−222i2−2i2000000000000000000000000000000
χ594-44-4000−4i4i0400004-4-4000−4i4i00000000000002i2−2i2−222222−22−2i22i2000000000000000000000000000000
χ604-44-4000−4i4i0400004-4-4000−4i4i0000000000000−2i22i222−22−22222i2−2i2000000000000000000000000000000
χ61888888-8-8-8-8-20000-2-2-2-2-2222200000000000000000000000000000000000000000000000000
χ628888-8-8-888-8-20000-2-2-2222-2-2200000000000000000000000000000000000000000000000000
χ6388-8-88-80000-2000022-2-22000010−1010−1010−1010−10000000000000000000000000000000000000000000
χ6488-8-88-80000-2000022-2-220000−1010−1010−1010−1010000000000000000000000000000000000000000000
χ6588-8-8-880000-2000022-22-2000010−1010−10−1010−1010000000000000000000000000000000000000000000
χ6688-8-8-880000-2000022-22-20000−1010−101010−1010−10000000000000000000000000000000000000000000
χ678-88-80008i−8i0-20000-222000−2i2i010−10−1010i10−i10−i10i10000000000000000000000000000000000000000000
χ688-88-80008i−8i0-20000-222000−2i2i0−101010−10−i10i10i10−i10000000000000000000000000000000000000000000
χ698-88-8000−8i8i0-20000-2220002i−2i010−10−1010−i10i10i10−i10000000000000000000000000000000000000000000
χ708-88-8000−8i8i0-20000-2220002i−2i0−101010−10i10−i10−i10i10000000000000000000000000000000000000000000
χ718-8-8800800-8-2008i−8i2-2200-20020000−2i−2i2i2i000000000000000000000000000000000000000000
χ728-8-8800800-8-200−8i8i2-2200-200200002i2i−2i−2i000000000000000000000000000000000000000000
χ738-8-8800-8008-28-8002-2200200-2-2-2220000000000000000000000000000000000000000000000
χ748-8-8800-8008-2-88002-2200200-222-2-20000000000000000000000000000000000000000000000

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