Finite Group Databasebeta

← Group #13018193

Character table — Group #13018193

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111444444444444448888888888888888101010101010101010101010161616161616161620204040404040404040404040404040404040404040
order12222222444444510101010101010444420202020202020202020202044444444444420202020202020204422448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-222-2-2222222-2-200000000-2-200000000000000000000
χ182222222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222000000002200000000000000000000
χ1922222222-2-222-2-2222222220000-2-2-2-22222-2-2-2-222-2-2-2-2-2-222-2-2000000002200000000000000000000
χ2022222222-2-222-2-2222222220000-2-2-2-22222-2-2-2-2-2-2222222-2-22200000000-2-200000000000000000000
χ2122-2-22-22-2002i−2i0022-2-22-22-2000000002i2i−2i−2i0000002i−2i22-2-2002i−2i000000000000001+i−1−i1−i−1+i00001−i−1+i1+i−1−i0000
χ2222-2-22-22-2002i−2i0022-2-22-22-2000000002i2i−2i−2i0000002i−2i22-2-2002i−2i00000000000000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i0000
χ2322-2-22-22-2002i−2i0022-2-22-22-2000000002i2i−2i−2i000000−2i2i-2-22200−2i2i000000000000001−i−1+i−1−i1+i00001+i−1−i−1+i1−i0000
χ2422-2-22-22-2002i−2i0022-2-22-22-2000000002i2i−2i−2i000000−2i2i-2-22200−2i2i00000000000000−1+i1−i1+i−1−i0000−1−i1+i1−i−1+i0000
χ2522-2-22-22-200−2i2i0022-2-22-22-200000000−2i−2i2i2i0000002i−2i-2-222002i−2i000000000000001+i−1−i−1+i1−i00001−i−1+i−1−i1+i0000
χ2622-2-22-22-200−2i2i0022-2-22-22-200000000−2i−2i2i2i0000002i−2i-2-222002i−2i00000000000000−1−i1+i1−i−1+i0000−1+i1−i1+i−1−i0000
χ2722-2-22-22-200−2i2i0022-2-22-22-200000000−2i−2i2i2i000000−2i2i22-2-200−2i2i000000000000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i0000
χ2822-2-22-22-200−2i2i0022-2-22-22-200000000−2i−2i2i2i000000−2i2i22-2-200−2i2i00000000000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i0000
χ292-22-2-222-22i−2i00002-22-2-222-200002i2i−2i−2i000000002i−2i002-22-22i−2i000000000000000000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i
χ302-22-2-222-22i−2i00002-22-2-222-200002i2i−2i−2i000000002i−2i002-22-22i−2i00000000000000000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i
χ312-22-2-222-22i−2i00002-22-2-222-200002i2i−2i−2i00000000−2i2i00-22-22−2i2i000000000000000000001+i−1−i−1+i1−i00001−i−1+i−1−i1+i
χ322-22-2-222-22i−2i00002-22-2-222-200002i2i−2i−2i00000000−2i2i00-22-22−2i2i00000000000000000000−1−i1+i1−i−1+i0000−1+i1−i1+i−1−i
χ332-22-2-222-2−2i2i00002-22-2-222-20000−2i−2i2i2i000000002i−2i00-22-222i−2i000000000000000000001−i−1+i−1−i1+i00001+i−1−i−1+i1−i
χ342-22-2-222-2−2i2i00002-22-2-222-20000−2i−2i2i2i000000002i−2i00-22-222i−2i00000000000000000000−1+i1−i1+i−1−i0000−1−i1+i1−i−1+i
χ352-22-2-222-2−2i2i00002-22-2-222-20000−2i−2i2i2i00000000−2i2i002-22-2−2i2i000000000000000000001+i−1−i1−i−1+i00001−i−1+i1+i−1−i
χ362-22-2-222-2−2i2i00002-22-2-222-20000−2i−2i2i2i00000000−2i2i002-22-2−2i2i00000000000000000000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i
χ372-2-2222-2-200002-2222-2-2-2-22002i−2i0000000022-2-222-2-20000-2-2222i2i−2i−2i000000002i−2i0000000000000000
χ382-2-2222-2-200002-2222-2-2-2-22002i−2i0000000022-2-2-2-222000022-2-22i2i−2i−2i00000000−2i2i0000000000000000
χ392-2-2222-2-200002-2222-2-2-2-2200−2i2i0000000022-2-222-2-20000-2-222−2i−2i2i2i00000000−2i2i0000000000000000
χ402-2-2222-2-200002-2222-2-2-2-2200−2i2i0000000022-2-2-2-222000022-2-2−2i−2i2i2i000000002i−2i0000000000000000
χ412-2-2222-2-20000-22222-2-2-2-222-20000000000-2-22222220000-2-2-2-2000022-2-2002-2000000000000000000
χ422-2-2222-2-20000-22222-2-2-2-222-20000000000-2-222-2-2-2-200002222000022-2-200-22000000000000000000
χ432-2-2222-2-20000-22222-2-2-2-22-220000000000-2-22222220000-2-2-2-20000-2-22200-22000000000000000000
χ442-2-2222-2-20000-22222-2-2-2-22-220000000000-2-222-2-2-2-2000022220000-2-222002-2000000000000000000
χ4544444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000000000
χ4644444444444444-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000
χ474444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-1-1-1111111110000000000005−55−55−55−50000000000000000000000
χ484444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-1-1-111111111000000000000−55−55−55−550000000000000000000000
χ4944444444-4-444-4-4-1-1-1-1-1-1-1-100001111-1-1-1-111110000000000005−55−5−55−550000000000000000000000
χ5044444444-4-444-4-4-1-1-1-1-1-1-1-100001111-1-1-1-11111000000000000−55−555−55−50000000000000000000000
χ5144444444-4-4-4-444-1-1-1-1-1-1-1-144-4-411111111-1-1-1-10000000000001111-1-1-1-10000000000000000000000
χ5244444444-4-4-4-444-1-1-1-1-1-1-1-1-4-44411111111-1-1-1-1000000000000-1-1-1-111110000000000000000000000
χ534444-4-4-4-40000004-4-4-444-440000000000000000000000000000000000004i−4i00000000000000000000
χ544444-4-4-4-40000004-4-4-444-44000000000000000000000000000000000000−4i4i00000000000000000000
χ5544-4-4-44-440000004-4444-4-4-400000000000000004i−4i000000−4i4i00000000000000000000000000000000
χ5644-4-4-44-440000004-4444-4-4-40000000000000000−4i4i0000004i−4i00000000000000000000000000000000
χ574-44-44-4-4400000044-44-44-4-40000000000000000004i−4i000000−4i4i000000000000000000000000000000
χ584-44-44-4-4400000044-44-44-4-4000000000000000000−4i4i0000004i−4i000000000000000000000000000000
χ594-4-4444-4-400004-4-1-1-11111-1004i−4ii5−i5i5−i5i5−i5i5−i5-1-111000000000000−i−iii5−5−550000000000000000000000
χ604-4-4444-4-400004-4-1-1-11111-1004i−4i−i5i5−i5i5−i5i5−i5i5-1-111000000000000−i−iii−555−50000000000000000000000
χ614-4-4444-4-400004-4-1-1-11111-100−4i4ii5−i5i5−i5i5−i5i5−i5-1-111000000000000ii−i−i−555−50000000000000000000000
χ624-4-4444-4-400004-4-1-1-11111-100−4i4i−i5i5−i5i5−i5i5−i5i5-1-111000000000000ii−i−i5−5−550000000000000000000000
χ634-4-4444-4-40000-44-1-1-11111-14-400i5−i5i5−i5−i5i5−i5i511-1-1000000000000i5−i5−i5i5-1-1110000000000000000000000
χ644-4-4444-4-40000-44-1-1-11111-14-400−i5i5−i5i5i5−i5i5−i511-1-1000000000000−i5i5i5−i5-1-1110000000000000000000000
χ654-4-4444-4-40000-44-1-1-11111-1-4400i5−i5i5−i5−i5i5−i5i511-1-1000000000000−i5i5i5−i511-1-10000000000000000000000
χ664-4-4444-4-40000-44-1-1-11111-1-4400−i5i5−i5i5i5−i5i5−i511-1-1000000000000i5−i5−i5i511-1-10000000000000000000000
χ674-4-44-4-4440000004-4-44-4-444000000000000000000004-4-440000000000000000000000000000000000
χ684-4-44-4-4440000004-4-44-4-44400000000000000000000-444-40000000000000000000000000000000000
χ698888-8-8-8-8000000-2222-2-22-200000000000025−2525−25000000000000000000000000000000000000000000
χ708888-8-8-8-8000000-2222-2-22-2000000000000−2525−2525000000000000000000000000000000000000000000
χ7188-8-88-88-8008i−8i00-2-222-22-2200000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ7288-8-88-88-800−8i8i00-2-222-22-22000000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ7388-8-8-88-88000000-22-2-2-2222000025−25−252500000000000000000000000000000000000000000000000000
χ7488-8-8-88-88000000-22-2-2-22220000−252525−2500000000000000000000000000000000000000000000000000
χ758-88-88-8-88000000-2-22-22-2220000000025−25−25250000000000000000000000000000000000000000000000
χ768-88-88-8-88000000-2-22-22-22200000000−252525−250000000000000000000000000000000000000000000000
χ778-88-8-888-88i−8i0000-22-222-2-220000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ788-88-8-888-8−8i8i0000-22-222-2-2200002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ798-8-88-8-888000000-222-222-2-200000000000025−25−2525000000000000000000000000000000000000000000
χ808-8-88-8-888000000-222-222-2-2000000000000−252525−25000000000000000000000000000000000000000000

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