Finite Group Databasebeta

← Group #13023933

Character table — Group #13023933

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size111122224444444444444888888888888888810101010101010101010161616161616161620202040404040404040404040404080808080
order1222444425888810101020202020224410102020404040404040404044444488881010101020202020488444416161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ8111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-111-1111-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111-1111-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-11-11
χ111111-1-111-1111-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-111ii−i−i−i−iiii−i−ii
χ121111-1-111-1111-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-111−i−iiiii−i−i−iii−i
χ131111-1-111-1111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-11-11
χ141111-1-111-1111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-111-1-111-1-1111-11-1
χ151111-1-111-1111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1ii−i−i−i−iii−iii−i
χ161111-1-111-1111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1−i−iiiii−i−ii−i−ii
χ172222222222-2-2-2-2222222200002222-2-2-2-2-2-2-2-2222222-2-2-2-2000000002-2-20000000000000000
χ182222222222-2-2-2-2222222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2220000000000000000
χ19222222-2-2-22000022222220000-2-2-2-2000000002222-2-2000000000000-2000000i2−i2i2−i2i2−i2i2−i20000
χ20222222-2-2-22000022222220000-2-2-2-2000000002222-2-2000000000000-2000000−i2i2−i2i2−i2i2−i2i20000
χ21222222-2-2-22000022222220000-2-2-2-200000000-2-2-2-22200000000000020000002−22−2−22−220000
χ22222222-2-2-22000022222220000-2-2-2-200000000-2-2-2-2220000000000002000000−22−222−22−20000
χ232222-2-222-22-2-222222-2-2-2-20000-2-222-2-2-2-2222222-2-222-2-2-2-200000000-2220000000000000000
χ242222-2-222-22-2-222222-2-2-2-20000-2-222-2-2-2-22222-2-222-2-22222000000002-2-20000000000000000
χ252222-2-2-2-2220000222-2-2-2-2000022-2-20000000022-2-2-2-20000000000002000000i2−i2−i2i2i2−i2−i2i20000
χ262222-2-2-2-2220000222-2-2-2-2000022-2-20000000022-2-2-2-20000000000002000000−i2i2i2−i2−i2i2i2−i20000
χ272222-2-2-2-2220000222-2-2-2-2000022-2-200000000-2-22222000000000000-20000002−2−22−222−20000
χ282222-2-2-2-2220000222-2-2-2-2000022-2-200000000-2-22222000000000000-2000000−222−22−2−220000
χ2922-2-2002-2022-200-2-220000002-200-2222-2-200002i−2i002i−2i2i2i−2i−2i000022-2-2000002i−2i000000000000
χ3022-2-2002-2022-200-2-220000002-200-2222-2-20000−2i2i00−2i2i−2i−2i2i2i000022-2-200000−2i2i000000000000
χ3122-2-2002-2022-200-2-22000000-2200-2222-2-200002i−2i002i−2i2i2i−2i−2i0000-2-22200000−2i2i000000000000
χ3222-2-2002-2022-200-2-22000000-2200-2222-2-20000−2i2i00−2i2i−2i−2i2i2i0000-2-222000002i−2i000000000000
χ3322-2-2002-202-2200-2-2200002-20000-22-2-22200002i−2i002i−2i−2i−2i2i2i22-2-200000002i−2i00000000000000
χ3422-2-2002-202-2200-2-2200002-20000-22-2-2220000−2i2i00−2i2i2i2i−2i−2i22-2-20000000−2i2i00000000000000
χ3522-2-2002-202-2200-2-220000-220000-22-2-22200002i−2i002i−2i−2i−2i2i2i-2-2220000000−2i2i00000000000000
χ3622-2-2002-202-2200-2-220000-220000-22-2-2220000−2i2i00−2i2i2i2i−2i−2i-2-22200000002i−2i00000000000000
χ37444444444-14444-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-10000000000000000000
χ38444444444-14444-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-10000000000111111110000000000000000000
χ39444444444-1-4-4-4-4-1-1-1-1-1-1-10000-1-1-1-11111111100000000005−55−55−55−50000000000000000000
χ40444444444-1-4-4-4-4-1-1-1-1-1-1-10000-1-1-1-1111111110000000000−55−55−55−550000000000000000000
χ414444-4-444-4-144-4-4-1-1-1111144-4-411-1-1-1-1-1-111110000000000-1-1-1-111110000000000000000000
χ424444-4-444-4-144-4-4-1-1-11111-4-44411-1-1-1-1-1-1111100000000001111-1-1-1-10000000000000000000
χ434444-4-444-4-1-4-444-1-1-11111000011-1-11111-1-1-1-100000000005−55−5−55−550000000000000000000
χ444444-4-444-4-1-4-444-1-1-11111000011-1-11111-1-1-1-10000000000−55−555−55−50000000000000000000
χ4544-4-4004-40-14-40011-155−5−5004-45−51-1-1-11155−5−500000000005−5−55-1-1110000000000000000000
χ4644-4-4004-40-14-40011-155−5−500-445−51-1-1-11155−5−50000000000−555−511-1-10000000000000000000
χ4744-4-4004-40-14-40011-1−5−555004-4−551-1-1-111−5−5550000000000−555−5-1-1110000000000000000000
χ4844-4-4004-40-14-40011-1−5−55500-44−551-1-1-111−5−55500000000005−5−5511-1-10000000000000000000
χ4944-4-4004-40-1-440011-155−5−54-4005−51-111-1-1−5−5550000000000-1-1115−5−550000000000000000000
χ5044-4-4004-40-1-440011-155−5−5-44005−51-111-1-1−5−555000000000011-1-1−555−50000000000000000000
χ5144-4-4004-40-1-440011-1−5−5554-400−551-111-1-155−5−50000000000-1-111−555−50000000000000000000
χ5244-4-4004-40-1-440011-1−5−555-4400−551-111-1-155−5−5000000000011-1-15−5−550000000000000000000
χ5344-4-400-44040000-4-4400000000004-4000000004i−4i00−4i4i0000000000000000000000000000000
χ5444-4-400-44040000-4-4400000000004-400000000−4i4i004i−4i0000000000000000000000000000000
χ554-44-4000004002i2−2i24-4-400000000000000002i2−2i22i2−2i2004i−4i0022−2222−22000000000000000000000000000
χ564-44-4000004002i2−2i24-4-400000000000000002i2−2i22i2−2i200−4i4i00−2222−2222000000000000000000000000000
χ574-44-400000400−2i22i24-4-40000000000000000−2i22i2−2i22i2004i−4i00−2222−2222000000000000000000000000000
χ584-44-400000400−2i22i24-4-40000000000000000−2i22i2−2i22i200−4i4i0022−2222−22000000000000000000000000000
χ594-4-444i−4i00040000-44-44i−4i4i−4i00000000000000000000002i2−2i2−2i22i200000000022−220000000000000000
χ604-4-444i−4i00040000-44-44i−4i4i−4i0000000000000000000000−2i22i22i2−2i2000000000−22220000000000000000
χ614-4-44−4i4i00040000-44-4−4i4i−4i4i00000000000000000000002i2−2i2−2i22i2000000000−22220000000000000000
χ624-4-44−4i4i00040000-44-4−4i4i−4i4i0000000000000000000000−2i22i22i2−2i200000000022−220000000000000000
χ63888888-8-8-8-20000-2-2-2-2-2-2-200002222000000000000000000000000000000000000000000000
χ648888-8-8-8-88-20000-2-2-222220000-2-222000000000000000000000000000000000000000000000
χ6588-8-800-880-2000022-22525−25−250000−2525-22000000000000000000000000000000000000000000000
χ6688-8-800-880-2000022-2−25−252525000025−25-22000000000000000000000000000000000000000000000
χ678-88-800000-2004i2−4i2-2222i5−2i5−2i52i50000000010−1010−10−i2i2−i2i20000000000000000000000000000000000000
χ688-88-800000-2004i2−4i2-222−2i52i52i5−2i500000000−1010−1010−i2i2−i2i20000000000000000000000000000000000000
χ698-88-800000-200−4i24i2-2222i5−2i5−2i52i500000000−1010−1010i2−i2i2−i20000000000000000000000000000000000000
χ708-88-800000-200−4i24i2-222−2i52i52i5−2i50000000010−1010−10i2−i2i2−i20000000000000000000000000000000000000
χ718-8-888i−8i000-200002-22−2i2i−2i2i0000000010−10−1010i10−i10−i10i100000000000000000000000000000000000000
χ728-8-888i−8i000-200002-22−2i2i−2i2i00000000−101010−10−i10i10i10−i100000000000000000000000000000000000000
χ738-8-88−8i8i000-200002-222i−2i2i−2i0000000010−10−1010−i10i10i10−i100000000000000000000000000000000000000
χ748-8-88−8i8i000-200002-222i−2i2i−2i00000000−101010−10i10−i10−i10i100000000000000000000000000000000000000

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