Finite Group Databasebeta

← Group #11751720

Character table — Group #11751720

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222222444444558888888888101010101010101212202020202020202020202020202024242424606060606060
order1223446121256101220204410152030303060606060224661212244444612121212121212121210102020248888
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11111111111-1-1-1-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i
χ6111111111111111-1-11111111111-1-1-1-1-1-1-111−i−iii-1-1−i−i−i−iiiii1111-1-1−i−iii
χ7111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii
χ8111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i
χ911-111-11111-11-1-1-111-111-1-1111-1-1-11-111111-11-11-1-1-111-1-111-1-111-1-1-111-11-1
χ1011-111-11111-11-1-1-111-111-1-1111-1-1-11-111111-1-11-11-1-1-1-111-1-11111-1-1-11-11-11
χ1111-111-11111-11-1-1-111-111-1-1111-1-1-11-11111-111-11-1-1-111-1-111-1-1-1-1111-1-11-11
χ1211-111-11111-11-1-1-111-111-1-1111-1-1-11-11111-11-11-11-1-1-1-111-1-111-1-1111-11-11-1
χ1311-111-11111-11-1-1-1-1-1-111-1-1111-1-11-11-1-1-1-11-1i−i−ii11ii−i−i−i−iii11-1-11-1i−i−ii
χ1411-111-11111-11-1-1-1-1-1-111-1-1111-1-11-11-1-1-1-11-1−iii−i11−i−iiiii−i−i11-1-11-1−iii−i
χ1511-111-11111-11-1-1-1-1-1-111-1-1111-1-11-11-1-1-1-1-11i−i−ii11ii−i−i−i−iii-1-111-11−iii−i
χ1611-111-11111-11-1-1-1-1-1-111-1-1111-1-11-11-1-1-1-1-11−iii−i11−i−iiiii−i−i-1-111-11i−i−ii
χ172222-2-22-2-2222-2-2-22222-2222-2-2-2-2-2-22-2-222000000-22000000000000000000
χ182222-2-22-2-2222-2-2-2-2-222-2222-2-2-2-222-222-2-20000002-2000000000000000000
χ19222-122-1-1-12-12-122222-12-1-1-1-1-1-1-1222-1-1-1-1002222-1-1-1-1-1-1-1-1-1-10000000000
χ20222-122-1-1-12-12-122222-12-1-1-1-1-1-1-1222-1-1-1-100-2-2-2-2-1-1111111110000000000
χ21222-122-1-1-12-12-122-2-22-12-1-1-1-1-1-1-1-2-2-21111002i2i−2i−2i11−i−i−i−iiiii0000000000
χ22222-122-1-1-12-12-122-2-22-12-1-1-1-1-1-1-1-2-2-2111100−2i−2i2i2i11iiii−i−i−i−i0000000000
χ23222-1-2-2-1112-121-2-2222-1-2-1-1-11111-2-2211-1-10000001-13−33−33−33−30000000000
χ24222-1-2-2-1112-121-2-2222-1-2-1-1-11111-2-2211-1-10000001-1−33−33−33−330000000000
χ25222-1-2-2-1112-121-2-2-2-22-1-2-1-1-1111122-2-1-111000000-11−i3i3−i3i3i3−i3i3−i30000000000
χ26222-1-2-2-1112-121-2-2-2-22-1-2-1-1-1111122-2-1-111000000-11i3−i3i3−i3−i3i3−i3i30000000000
χ2722-22-222-2-22-2222222-22-2-2-22-2-2222-2-2-2-2220000002-2000000000000000000
χ2822-22-222-2-22-22222-2-2-22-2-2-22-2-222-22222-2-2000000-22000000000000000000
χ2922-2-12-2-1-1-12121-2-222-2-1211-1-1-111-22-2-1-1-1-1002-22-211-1-111-1-1110000000000
χ3022-2-12-2-1-1-12121-2-222-2-1211-1-1-111-22-2-1-1-1-100-22-221111-1-111-1-10000000000
χ3122-2-12-2-1-1-12121-2-2-2-2-2-1211-1-1-1112-221111002i−2i−2i2i-1-1−i−iiiii−i−i0000000000
χ3222-2-12-2-1-1-12121-2-2-2-2-2-1211-1-1-1112-22111100−2i2i2i−2i-1-1ii−i−i−i−iii0000000000
χ3322-2-1-22-111212-12222-2-1-211-111-1-12-2-211-1-1000000-113−3−333−3−330000000000
χ3422-2-1-22-111212-12222-2-1-211-111-1-12-2-211-1-1000000-11−333−3−333−30000000000
χ3522-2-1-22-111212-122-2-2-2-1-211-111-1-1-222-1-1110000001-1−i3i3i3−i3i3−i3−i3i30000000000
χ3622-2-1-22-111212-122-2-2-2-1-211-111-1-1-222-1-1110000001-1i3−i3−i3i3−i3i3i3−i30000000000
χ37444444444-14-14-1-100-1-1-1-1-1-1-1-1-1-100000004400000000000000-1-1-1-1000000
χ38444444444-14-14-1-100-1-1-1-1-1-1-1-1-1-10000000-4-4000000000000001111000000
χ394444-4-44-4-4-14-1-41100-1-11-1-1-1111100000000000000000000000−55−55000000
χ404444-4-44-4-4-14-1-41100-1-11-1-1-11111000000000000000000000005−55−5000000
χ4144-444-4444-1-4-1-411001-1-111-1-1-11100000004-400000000000000-1-111000000
χ4244-444-4444-1-4-1-411001-1-111-1-1-1110000000-440000000000000011-1-1000000
χ4344-44-444-4-4-1-4-14-1-1001-1111-111-1-100000000000000000000000−555−5000000
χ4444-44-444-4-4-1-4-14-1-1001-1111-111-1-1000000000000000000000005−5−55000000
χ454-40400-40040-40004i−4i04000-40000000004i−4i00000000000000000000000000
χ464-40400-40040-4000−4i4i04000-4000000000−4i4i00000000000000000000000000
χ474-40-200223−2340-40004i−4i0-2000223−2300000−2i32i3−2i2i00000000000000000000000000
χ484-40-200223−2340-4000−4i4i0-2000223−23000002i3−2i32i−2i00000000000000000000000000
χ494-40-2002−232340-40004i−4i0-20002−2323000002i3−2i3−2i2i00000000000000000000000000
χ504-40-2002−232340-4000−4i4i0-20002−232300000−2i32i32i−2i00000000000000000000000000
χ51888-488-4-4-4-2-4-2-4-2-200-21-21111111000000000000000000000000000000000
χ52888-4-8-8-444-2-4-242200-212111-1-1-1-1000000000000000000000000000000000
χ5388-8-48-8-4-4-4-24-24220021-2-1-1111-1-1000000000000000000000000000000000
χ5488-8-4-88-444-24-2-4-2-200212-1-11-1-111000000000000000000000000000000000
χ558-80800-800-2020−2i52i5000-2000200−2i52i5000000000000000000000000000000000
χ568-80800-800-20202i5−2i5000-20002002i5−2i5000000000000000000000000000000000
χ578-80-400443−43-2020−2i52i500010−i15i15-1−33i5−i5000000000000000000000000000000000
χ588-80-400443−43-20202i5−2i500010i15−i15-1−33−i5i5000000000000000000000000000000000
χ598-80-4004−4343-2020−2i52i500010i15−i15-13−3i5−i5000000000000000000000000000000000
χ608-80-4004−4343-20202i5−2i500010−i15i15-13−3−i5i5000000000000000000000000000000000

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