Finite Group Databasebeta

← Group #11756725

Character table — Group #11756725

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11114444555566888816161616161616162424303030303030303030304040404060606060
order124451020202244243612121515303060606060102024888888886612124444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111-1-1-1-11111111111111111-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ411111111-1-1-1-11111111111111111-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ511-1-111-1-111-1-1-1111-1-11111-1-1-1-1-11-1111-1-111-1-111-1-11-11-1
χ611-1-111-1-111-1-1-1111-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-11-11
χ711-1-111-1-1-1-111-1111-1-11111-1-1-1-1-111-1ii−i−i−i−iii-1-111i−i−ii
χ811-1-111-1-1-1-111-1111-1-11111-1-1-1-1-111-1−i−iiiii−i−i-1-111−iii−i
χ922222222222222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-10000
χ1022222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-2-20000000011110000
χ1122-2-222-2-222-2-2-22-1-111-1-1-1-11111-22-2200000000-1-1110000
χ1222-2-222-2-2-2-222-22-1-111-1-1-1-11111-222-20000000011-1-10000
χ132-22i−2i2-22i−2i2-22i−2i00-11i−i-1-111ii−i−i00002−2−i2i22−2−i2i21-1i−i0000
χ142-22i−2i2-22i−2i2-22i−2i00-11i−i-1-111ii−i−i0000−22i2−i2−22i2−i21-1i−i0000
χ152-22i−2i2-22i−2i-22−2i2i00-11i−i-1-111ii−i−i0000−i2i2−22i2−i22−2-11−ii0000
χ162-22i−2i2-22i−2i-22−2i2i00-11i−i-1-111ii−i−i0000i2−i22−2−i2i2−22-11−ii0000
χ172-2−2i2i2-2−2i2i2-2−2i2i00-11−ii-1-111−i−iii00002−2i2−i22−2i2−i21-1−ii0000
χ182-2−2i2i2-2−2i2i2-2−2i2i00-11−ii-1-111−i−iii0000−22−i2i2−22−i2i21-1−ii0000
χ192-2−2i2i2-2−2i2i-222i−2i00-11−ii-1-111−i−iii0000−i2i22−2i2−i2−22-11i−i0000
χ202-2−2i2i2-2−2i2i-222i−2i00-11−ii-1-111−i−iii0000i2−i2−22−i2i22−2-11i−i0000
χ21333333333333-1-1000000000000-1-1-1-1111111110000-1-1-1-1
χ22333333333333-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-100001111
χ2333333333-3-3-3-3-1-1000000000000-1-111iiii−i−i−i−i0000−i−iii
χ2433333333-3-3-3-3-1-1000000000000-1-111−i−i−i−iiiii0000ii−i−i
χ2533-3-333-3-333-3-31-10000000000001-11-111-1-111-1-10000-11-11
χ2633-3-333-3-333-3-31-10000000000001-11-1-1-111-1-11100001-11-1
χ2733-3-333-3-3-3-3331-10000000000001-1-11ii−i−i−i−iii0000−iii−i
χ2833-3-333-3-3-3-3331-10000000000001-1-11−i−iiiii−i−i0000i−i−ii
χ294444-1-1-1-10000444444-1-1-1-1-1-1-1-1-1-1000000000000000000
χ304444-1-1-1-1000044-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-1-1000000000000000000
χ314444-1-1-1-1000044-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152-1-1000000000000000000
χ3244-4-4-1-1110000-4444-4-4-1-1-1-111111-1000000000000000000
χ3344-4-4-1-1110000-44-2-2221−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1521-1000000000000000000
χ3444-4-4-1-1110000-44-2-2221+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1521-1000000000000000000
χ354-44i−4i4-44i−4i4-44i−4i001-1−ii11-1-1−i−iii000000000000-11−ii0000
χ364-44i−4i4-44i−4i-44−4i4i001-1−ii11-1-1−i−iii0000000000001-1i−i0000
χ374-4−4i4i4-4−4i4i4-4−4i4i001-1i−i11-1-1ii−i−i000000000000-11i−i0000
χ384-4−4i4i4-4−4i4i-444i−4i001-1i−i11-1-1ii−i−i0000000000001-1−ii0000
χ398-88i−8i-22−2i2i0000002-2−2i2i−1−i152−1+i1521+i1521−i152ζ38+ζ46+ζ62+ζ94ζ14+ζ22+ζ86+ζ118−ζ38−ζ46−ζ62−ζ94−ζ14−ζ22−ζ86−ζ11800000000000000000000
χ408-88i−8i-22−2i2i0000002-2−2i2i−1+i152−1−i1521−i1521+i152ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ9400000000000000000000
χ418-88i−8i-22−2i2i000000-444i−4i11-1-1−i−iii00000000000000000000
χ428-8−8i8i-222i−2i0000002-22i−2i−1−i152−1+i1521+i1521−i152−ζ38−ζ46−ζ62−ζ94−ζ14−ζ22−ζ86−ζ118ζ38+ζ46+ζ62+ζ94ζ14+ζ22+ζ86+ζ11800000000000000000000
χ438-8−8i8i-222i−2i0000002-22i−2i−1+i152−1−i1521−i1521+i152−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ9400000000000000000000
χ448-8−8i8i-222i−2i000000-44−4i4i11-1-1ii−i−i00000000000000000000
χ4512121212-3-3-3-30000-4-400000000000011000000000000000000
χ461212-12-12-3-33300004-4000000000000-11000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.